Li2O-Al2O3-SiO2-BASED CRYSTALLIZED GLASS

Information

  • Patent Application
  • 20230382787
  • Publication Number
    20230382787
  • Date Filed
    September 06, 2021
    2 years ago
  • Date Published
    November 30, 2023
    6 months ago
Abstract
To provide a Li2O—Al2O3—SiO2-based crystallized glass in which yellow coloration caused by TiO2, Fe2O3, and the like is suppressed and yet transparency is ensured. The Li2O—Al2O3—SiO2-based crystallized glass is characterized by containing, in mass %, less than 0.5% of TiO2 and having a β-OH value from 0.001 to 2/mm.
Description
TECHNICAL FIELD

The present invention relates to a Li2O—Al2O3—SiO2-based crystallized glass. In particular, the present invention relates to a Li2O—Al2O3—SiO2-based crystallized glass, for example, suitable as a material for a front window of a kerosine stove, a wood stove, and the like, substrate for a high-tech product such as a color filter and an image sensor substrate, a setter for firing an electronic part, a light diffusion plate, a furnace tube for semiconductor manufacture, a mask for semiconductor manufacture, an optical lens, a member for dimension measurement, a member for communications, a member for construction, a chemical reaction vessel, an electromagnetic cooking top plate, a heat-resistant tableware, a heat-resistant cover, a window glass for a fire door, an astronomical telescope member, a space optical member, and the like.


BACKGROUND ART

Typically, a Li2O—Al2O3—SiO2-based crystallized glass is used as a material for a front window of a kerosine stove, a wood stove, and the like, a substrate for a high-tech product such as a color filter and an image sensor substrate, a setter for firing an electronic part, a light diffusion plate, a furnace tube for semiconductor manufacture, a mask for semiconductor manufacture, an optical lens, a member for dimension measurement, a member for communications, a member for construction, a chemical reaction vessel, an electromagnetic cooking top plate, a heat-resistant tableware, a heat-resistant cover, a window glass for a fire door, an astronomical telescope member, a space optical member, and the like. For example, Patent Literatures 1 to 3 disclose a Li2O—Al2O3—SiO2-based crystallized glass in which a Li2O—Al2O3—SiO2-based crystal such as a β-quartz solid solution (Li2O·Al2O3·nSiO2 (2≤n≤4)) and a β-spodumene solid solution (Li2O·Al2O3·nSiO2 (n≥4)) are precipitated as a main crystal.


The Li2O—Al2O3—SiO2-based crystallized glass has a low thermal expansion coefficient and a high mechanical strength, and thus has excellent thermal properties. When a heat treatment condition in crystallization step is appropriately adjusted, it is possible to control a type of precipitated crystals, and thus, it is possible to easily produce transparent crystallized glass (in which β-quartz solid solution is precipitated).


However, melting process at a high temperature above 1400° C. is required to produce such a type of crystallized glass. Therefore, in a fining agent added to a glass batch, As2O3 and Sb2O3 which generate a large amount of fining gas when melted at high temperatures are used. However, As2O3 and Sb2O3 are highly toxic, and may pollute the environment during various processing such as glass manufacturing processing and treatment of waste glass.


Thus, as an alternative fining agent to As2O3 and Sb2O3, SnO2 and Cl are proposed (see, for example, Patent Literatures 4 and 5). However, Cl may easily corrode a metal mold or a metal roll during formation of glass, and as a result, may possibly deteriorate a surface quality of the glass.


CITATION LIST
Patent Literature

Patent Literature 1: JP 39-21049 B


Patent Literature 2: JP 40-20182 B


Patent Literature 3: JP 01-308845 A


Patent Literature 4: JP 11-228180 A


Patent Literature 5: JP 11-228181 A


SUMMARY OF INVENTION
Technical Problem

Further, a Li2O—Al2O3—SiO2-based crystallized glass has a yellowish appearance caused by TiO2, Fe2O3, and the like, and such coloration is undesirable. To improve the yellow coloration of transparent crystallized glass, a content of TiO2 may preferably be reduced, but when the content of TiO2 is reduced, a crystal nucleus formation rate in crystallization step is decreased, and thus, an amount of crystal nuclei to be generated tends to decrease. As a result, the amount of coarse crystals increases, making the crystallized glass cloudy and easily impairing transparency of such glass.


An object of the present invention is to provide a Li2O—Al2O3—SiO2-based crystallized glass in which yellow coloration caused by TiO2, Fe2O3, and the like is suppressed and yet transparency is ensured.


Solution to Problem

The present inventors and others discovered that shortage of crystal nuclei due to reduction of the content of TiO2 could be compensated by increasing the water content.


A Li2O—Al2O3—SiO2-based crystallized glass of the present invention is characterized by containing, in mass %, 0 to less than 0.5% of TiO2, and having a β-OH value from 0.001 to 2/mm. Even if the content of TiO2 is reduced to less than 0.5% to improve yellow coloration, when the β-OH value is increased to 0.001/mm or greater, it is possible to sufficiently crystallize the glass. The “β-OH value” refers to a value obtained by substituting a transmittance of glass measured by using FT-IR, in the following formula.





β-OH value=(1/X)log(T1/T2)

    • X: Glass thickness (mm)
    • T1: Transmittance (%) at a reference wavelength of 3846 cm−1
    • T2: Minimum transmittance (%) near an absorption wavelength of hydroxyl groups of 3600 cm−1


Further, the Li2O—Al2O3—SiO2-based crystallized glass of the present invention preferably contains, in mass %, from 40 to 90% of SiO2, from 5 to 30% of Al2O3, from 1 to 10% of Li2O, from 0 to 20% of SnO2, from 1 to 20% of ZrO2, from 0 to 10% of MgO, from 0 to 10% of P2O5, and from 0 to less than 2% of Sb2O3+As2O3.


Even if the total amount of Sb2O3 and As2O3 as a fining agent is reduced to less than 2%, as described above, when the β-OH value is set to less than 2/mm, it is possible to sufficiently clarify the glass. Note that “Sb2O3+As2O3” means the total amount of Sb2O3 and As2O3.


Further, the Li2O—Al2O3—SiO2-based crystallized glass of the present invention preferably contains, in mass %, from 0 to 10% of Na2O, from 0 to 10% of K2O, from 0 to 10% of CaO, from 0 to 10% of SrO, from 0 to 10% of BaO, from 0 to 10% of ZnO, and from 0 to 10% of B2O3.


Further, the Li2O—Al2O3—SiO2-based crystallized glass of the present invention preferably contains, in mass %, 0.1% or less of Fe2O3.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a mass ratio of SnO2/(SnO2+ZrO2+P2O5+TiO2+B2O3) is preferably 0.06 or greater. Here, “SnO2/(SnO2+ZrO2+P2O5+TiO2+B2O3)” is a value obtained by dividing the content of SnO2 by the total amount of SnO2, ZrO2, P2O5, TiO2, and B2O3.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a mass ratio of Al2O3/(SnO2+ZrO2) is preferably 7.1 or less. Here, “Al2O3/(SnO2+ZrO2)” means a value obtained by dividing the content of Al2O3 by the total amount of SnO2 and ZrO2.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a mass ratio of SnO2/(SnO2+ZrO2) is preferably from 0.01 to 0.99. Here, “SnO2/(SnO2+ZrO2)” is a value obtained by dividing the content of SnO2 by the total amount of SnO2 and ZrO2.


The Li2O—Al2O3—SiO2-based crystallized glass of the present invention preferably contains, in mass %, 8% or less of Na2O+K2O+CaO+SrO+BaO. Here, “Na2O+K2O+CaO+SrO+BaO” is the total amount of Na2O, K2O, CaO, SrO, and BaO.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a mass ratio of (SiO2+Al2O3)/Li2O is preferably 20 or greater. Here, “(SiO2+Al2O3)/Li2O” is a value obtained by dividing the total amount of SiO2 and Al2O3 by the content of Li2O.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a mass ratio of (SiO2+Al2O3)/SnO2 is preferably 44 or greater. Here, “(SiO2+Al2O3)/SnO2” is a value obtained by dividing the total amount of SiO2 and Al2O3 by the content of SnO2.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a mass ratio of (MgO+ZnO)/Li2O is preferably less than 0.395 or greater than 0.754. Here, “(MgO+ZnO)/Li2O” is a value obtained by dividing the total amount of MgO and ZnO by the content of Li2O.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a mass ratio of (Li2O+Na2O+K2O)/ZrO2 is preferably 2.0 or less. Here, “(Li2O+Na2O+K2O)/ZrO2” is a value obtained by dividing the total amount of Li2O, Na2O, and K2O by the content of ZrO2.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a mass ratio of TiO2/ZrO2 is preferably from 0.0001 to 5.0. Here, “TiO2/ZrO2” is a value obtained by dividing the content of TiO2 by the content of ZrO2.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a mass ratio of TiO2/TiO2+Fe2O3 is preferably from 0.001 to 0.999. Here, “TiO2/(TiO2+Fe2O3)” is a value obtained by dividing the content of TiO2 by the total amount of TiO2 and Fe2O3.


The Li2O—Al2O3—SiO2-based crystallized glass of the present invention preferably contains, in mass %, less than 0.05% of HfO2+Ta2O5. Here, “HfO2+Ta2O5” is the total amount of HfO2 and Ta2O5.


The Li2O—Al2O3—SiO2-based crystallized glass of the present invention preferably contains, in mass %, 7 ppm or less of Pt.


The Li2O—Al2O3—SiO2-based crystallized glass of the present invention preferably contains, in mass %, 7 ppm or less of Rh.


The Li2O—Al2O3—SiO2-based crystallized glass of the present invention preferably contains, in mass %, 9 ppm or less of Pt+Rh. Here, “Pt+Rh” is the total amount of Pt and Rh.


The Li2O—Al2O3—SiO2-based crystallized glass of the present invention preferably has a colorless and transparent appearance.


The Li2O—Al2O3—SiO2-based crystallized glass of the present invention preferably has a transmittance of 10% or greater at a thickness of 3 mm and a wavelength of 300 nm. In this case, the crystallized glass can be suitable for various uses that require permeability to ultraviolet light.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a β-quartz solid solution is preferably precipitated as a main crystal. With such a configuration, it is possibly to easily obtain crystallized glass having a low thermal expansion coefficient.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a thermal expansion coefficient at from 30 to 380° C. is preferably 30×10−7/° C. or less. In this case, the crystallized glass can be suitable for various uses that require low expansion properties.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a thermal expansion coefficient at from 30 to 750° C. is preferably 30×10−7/° C. or less. In this case, the crystallized glass can be suitable for various uses that require low expansion properties in a wide temperature range.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a rate of transmittance change before and after crystallization at a thickness of 3 mm and a wavelength of 300 nm is preferably 50% or less. Here, the “rate of transmittance change before and after crystallization” means {(transmittance (%) before crystallization−transmittance (%) after crystallization)/transmittance (%) before crystallization}×100 (%).


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a mass ratio of Al2O3/(Li2O+(½×(MgO+ZnO)) is preferably from 3.0 to 8.0. Here, “Al2O3/(Li2O+(½×(MgO+ZnO))” is a value obtained by dividing the content of Al2O3 by a sum of the content of Li2O and a value obtained by dividing the total amount of MgO and ZnO by 2.


A Li2O—Al2O3—SiO2-based crystallized glass of the present invention is characterized by containing, in mass %, greater than 0% of MoO3, and having a β-OH value from 0.001 to 0.5/mm.


Advantageous Effects of Invention

According to the present invention, it is possible to provide a Li2O—Al2O3—SiO2-based crystallized glass in which yellow coloration caused by TiO2, Fe2O3, and the like is suppressed and yet transparency is ensured.





BRIEF DESCRIPTION OF DRAWINGS


FIG. 1 is a transmittance curve before crystallization of Sample No. 27.



FIG. 2 is a transmittance curve after crystallization of Sample No. 27.



FIG. 3 is a graph showing a relationship between β-OH values and densities of Samples A to E.



FIG. 4 is a graph showing a relationship between β-OH values and densities of Samples F to J.



FIG. 5 is a graph showing a relationship between β-OH values and densities of Samples K to M.





DESCRIPTION OF EMBODIMENTS

A Li2O—Al2O3—SiO2-based crystallized glass of the present invention is characterized by including, in mass %, less than 0.5% of TiO2 and having a β-OH value from 0.001 to 2/mm.


Firstly, a glass composition of the Li2O—Al2O3—SiO2-based crystallized glass of the present invention will be described. Note that, in the description regarding the content of each component below, “%” means “mass %” unless otherwise indicated.


TiO2 is a nucleating component for precipitating crystals in a crystallization step. On the other hand, if TiO2 is contained in a large amount, the degree of coloration of the glass significantly increases. In particular, a zirconia titanate-based crystal containing ZrO2 and TiO2 acts as a crystal nucleus, and transition of electrons from a valence band of oxygen serving a ligand to a conduction band of zirconia and titanium, which is a central metal, (LMCT transition) occurs. LMCT transition is involved in the coloration of crystallized glass. If titanium remains in a residual glass phase, the LMCT transition may occur from the valence band of a SiO2 skeleton to the conduction band of tetravalent titanium in the residual glass phase. In trivalent titanium in the residual glass phase, a d-d transition occurs, and this transition is involved in the coloration of crystallized glass. Furthermore, when titanium and iron coexist, an ilmenite (FeTiO3)-like coloration develops. It is also known that when titanium and tin coexist, the degree of yellowish coloration increases. Thus, the content of TiO2 is preferably from 0 to less than 0.5%, from 0 to 0.48%, from 0 to 0.46%, from 0 to 0.44%, from 0 to 0.42%, from 0 to 0.4%, from 0 to 0.38%, from 0 to 0.36%, from 0 to 0.34%, from 0 to 0.32%, from 0 to 0.3%, from 0 to 0.28%, from 0 to 0.26%, from 0 to 0.24%, from 0 to 0.22%, from 0 to 0.2%, from 0 to 0.18%, from 0 to 0.16%, from 0 to 0.14%, from 0 to 0.12%, and in particular, from 0 to 0.1%. However, TiO2 is easily mixed as an impurity, and thus, when it is attempted to completely remove TiO2, the production cost tends to increase due to increase in the cost of the raw material batch. In order to suppress the increase in production cost, a lower limit of the content of TiO2 is preferably 0.0003% or greater, 0.0005% or greater, 0.001% or greater, 0.005% or greater, 0.01% or greater, and in particular, 0.02% or greater.


The Li2O—Al2O3—SiO2-based crystallized glass of the present invention may contain the following components in the glass composition in addition to the above components.


SiO2 is a component that forms the skeleton of the glass and forms a Li2O—Al2O3—SiO2-based crystal. The content of SiO2 is preferably from 40 to 90%, from 52 to 80%, from 55 to 75%, from 56 to 70%, from 59 to 70%, from 60 to 70%, from 60 to 69.5%, from 60.5 to 69.5%, from 61 to 69.5%, from 61.5 to 69.5%, from 62 to 69.5%, from 62.5 to 69.5%, from 63 to 69.5%, and in particular, from 63.5 to 69.5%. If the content of SiO2 is excessively small, the thermal expansion coefficient tends to be high, and thus, it is difficult to produce crystallized glass having excellent thermal shock resistance. Further, the crystallized glass tends to have poor chemical durability. On the other hand, if the content of SiO2 is excessively large, the meltability of the glass decreases and the viscosity of the glass melt increases. Thus, glass fining and glass forming becomes difficult, resulting in decrease in productivity. In addition, a time required for crystallization is increased, and the productivity easily decreases.


Al2O3 is a component that forms the skeleton of the glass and forms a Li2O—Al2O3—SiO2-based crystal. In addition, Al2O3 is a component that is located around a crystal nucleus and forms a core-shell structure. The presence of the core-shell structure makes it less likely to feed a crystal nucleus component from the outside of the shell, and thus, the crystal nuclei are less likely to be enlarged, and a large number of small crystal nuclei are easily formed. The content of Al2O3 is preferably from 5 to 30%, from 8 to 30%, from 9 to 28%, from 10 to 27%, from 12 to 27%, from 14 to 27%, from 16 to 27%, from 17 to 27%, from 18 to 27%, from 18 to 26.5%, from 18.1 to 26.5%, from 19 to 26.5%, from 19.5 to 26.5%, from 20 to 26.5%, from 20.5 to 26.5%, and in particular, from 20.8 to 25.8%. If the content of Al2O3 is excessively small, the thermal expansion coefficient tends to be high, and thus, it is difficult to produce crystallized glass having excellent thermal shock resistance. Further, the crystallized glass tends to have poor chemical durability. In addition, the crystal nuclei increase in size, and the crystallized glass is more likely to be cloudy. On the other hand, if the content of Al2O3 is excessively large, the meltability of the glass decreases and the viscosity of the glass melt increases. Thus, glass fining and glass forming becomes difficult, resulting in decrease in productivity. In addition, the crystal of mullite tends to be precipitated, causing devitrification of the glass. In such a case, the crystallized glass is easily breakable.


Li2O is a component forming a Li2O—Al2O3—SiO2-based crystal, and a component having a large effect on crystallinity and reducing the viscosity of the glass to improve the meltability and the formability of glass. The content of Li2O is preferably from 1 to 10%, from 2 to 10%, from 2 to 8%, from 2.5 to 6%, from 2.8 to 5.5%, from 2.8 to 5%, from 3 to 5%, from 3 to 4.5%, from 3 to 4.2%, and in particular, from 3.2 to 4%. If the content of Li2O is excessively small, the crystal of mullite tends to be precipitated, causing devitrification of the glass. In addition, in crystallizing the glass, Li2O—Al2O3—SiO2-based crystal does not easily precipitate, and thus, it is difficult to obtain crystallized glass having excellent thermal shock resistance. Further, the meltability of the glass decreases and the viscosity of the glass melt increases. Thus, glass fining and glass forming becomes difficult, resulting in decrease in productivity. On the other hand, if the content of Li2O is excessively large, crystallinity is excessively high, and thus, the glass tends to be subject to devitrification and crystallized glass becomes easily breakable.


SiO2, Al2O3, and Li2O are main constituent components of β-quartz solid solution, which is the main crystal, and Li2O and Al2O3 compensate the mutual charges to dissolve into the SiO2 skeleton. With such three components being contained in a suitable ratio, crystallization progresses efficiently to enable low-cost production. The mass ratio of (SiO2+Al2O3)/Li2O is preferably 20 or greater, 20.2 or greater, 20.4 or greater, 20.6 or greater, 20.8 or greater, and in particular, 21 or greater.


SnO2 is a component that acts as a fining agent. In addition, SnO2 is also a component necessary to efficiently precipitate crystals in a crystallization step. On the other hand, if SnO2 is contained in large amounts, the degree of coloration of the glass significantly increases. The content of SnO2 is preferably from 0 to 20%, from greater than 0 to 20%, from 0.05 to 20%, from 0.1 to 10%, from 0.1 to 5%, from 0.1 to 4%, from 0.1 to 3%, from 0.15 to 3%, from 0.2 to 3%, from 0.2 to 2.7%, from 0.2 to 2.4%, from 0.25 to 2.4%, from 0.3 to 2.4%, from 0.35 to 2.4%, from 0.4 to 2.4%, from 0.45 to 2.4%, from 0.5 to 2.4%, from 0.5 to 2.35%, from 0.5 to 2.3%, from 0.5 to 2.2%, from 0.5 to 2.1%, from 0.5 to 2.05%, from 0.5 to 2%, from 0.5 to 1.95%, from 0.5 to 1.93%, from 0.5 to 1.91%, from 0.5 to 1.9%, from 0.5 to 1.88%, from 0.5 to 1.85%, from 0.5 to 1.83%, from 0.5 to 1.81%, and in particular, from 0.5 to 1.8%. If the content of SnO2 is excessively small, it is difficult to clarify the glass, and the productivity tends to decrease. Further, the crystal nuclei are not sufficiently formed, and coarse crystals may precipitate out, and the glass may possibly be cloudy or damaged. On the other hand, if the content of SnO2 is excessively large, the coloration of the crystallized glass may be strong. In addition, the amount of SnO2 to be evaporated at melting tends to increase, and thus environmental burden tends to increase.


ZrO2 is a nucleating component for precipitating crystals in the crystallization step. The content of ZrO2 is preferably from 1 to 20%, from 1 to 15%, from 1 to 10%, from 1 to 5%, from 1.5 to 5%, from 1.75 to 4.5%, from 1.75 to 4.4%, from 1.75 to 4.3%, from 1.75 to 4.2%, from 1.75 to 4.1%, from 1.75 to 4%, from 1.8 to 4%, from 1.85 to 4%, from 1.9 to 4%, from 1.95 to 4%, from 2 to 4%, from 2.05 to 4%, from 2.1 to 4%, from 2.15 to 4%, from 2.2 to 4%, from 2.25 to 4%, from 2.3 to 4%, from 2.3 to 3.95%, from 2.3 to 3.9%, from 2.3 to 3.95%, from 2.3 to 3.9%, from 2.3 to 3.85%, from 2.3 to 3.8%, from greater than 2.7 to 3.8%, from 2.8 to 3.8%, from 2.9 to 3.8%, and in particular, from 3 to 3.8%. If the content of ZrO2 is excessively small, the crystal nuclei are not sufficiently formed, and coarse crystals may precipitate out, and the crystallized glass may possibly be cloudy or damaged. On the other hand, if the content of ZrO2 is excessively large, coarse ZrO2 crystals precipitate and the glass is easily subject to devitrification, and the crystallized glass becomes easily breakable.


TiO2 and ZrO2 are components that may function as a crystal nucleus. Ti and Zr are congeners, and are similar in electrical electronegativity, ion radii, and the like. Thus, it is known that both components easily adopt a similar molecular conformation as an oxide, and in the coexistence of TiO2 and ZrO2, phase separation in the early stage of crystallization tends to occur. Thus, as long as an unacceptable level of coloration does not occur, the mass ratio of TiO2/ZrO2 is preferably from 0.0001 to 5.0, from 0.0001 to 4.0, from 0.0001 to 3.0, from 0.0001 to 2.5, from 0.0001 to 2.0, from 0.0001 to 1.5, from 0.0001 to 1.0, from 0.0001 to 0.5, from 0.0001 to 0.4, and in particular, from 0.0001 to 0.3. If TiO2/ZrO2 is excessively small, the production cost tends to increase due to increase in the cost of the raw material batch. On the other hand, if TiO2/ZrO2 is excessively large, crystal nucleation rate is decreased, and production costs may increase.


SnO2+ZrO2 is preferably from 1 to 30%, from 1.1 to 30%, from 1.1 to 27%, from 1.1 to 24%, from 1.1 to 21%, from 1.1 to 20%, from 1.1 to 17%, from 1.1 to 14%, from 1.1 to 11%, from 1.1 to 9%, from 1.1 to 7.5%, from 1.4 to 7.5%, from 1.8 to 7.5%, from 2.0 to 7.5%, from 2.2 to 7%, from 2.2 to 6.4%, from 2.2 to 6.2%, from 2.2 to 6%, from 2.3 to 6%, from 2.4 to 6%, from 2.5 to 6%, and in particular, from 2.8 to 6%. If SnO2+ZrO2 is excessively small, crystal nuclei are less likely to precipitate, and less likely to crystallize. On the other hand, if SnO2+ZrO2 is excessively large, the crystal nuclei increase in size, and the crystallized glass is more likely to be cloudy.


SnO2 has an effect of promoting phase separation in the glass. To efficiently cause separation of phases while maintaining a liquidus temperature low (while suppressing the risk of devitrification due to primary phase precipitation) to promptly perform nucleation and crystal growth in later steps, the mass ratio of SnO2/(SnO2+ZrO2) is preferably from 0.01 to 0.99, from 0.01 to 0.98, from 0.01 to 0.94, from 0.01 to 0.90, from 0.01 to 0.86, from 0.01 to 0.82, from 0.01 to 0.78, from 0.01 to 0.74, from 0.01 to 0.70, from 0.03 to 0.70, and in particular, from 0.05 to 0.70.


In addition, when SnO2 is under a high temperature condition, a reaction of SnO2→SnO+½O2 occurs, and O2 gas is released into the glass melt. Such a reaction is known as a fining mechanism by SnO2, and the O2 gas released during the reaction has a “defoaming effect” in which the fine bubbles existing in the glass melt are enlarged and the bubbles are released outside the glass system, and in addition, a “stirring effect” in which the glass melt is mixed. In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, the contents of SiO2 and Al2O3 accounts for the majority and these components are poorly soluble, and thus, in order to efficiently form a homogeneous glass melt, these three components should be contained in suitable proportions. The mass ratio of (SiO2+Al2O3)/SnO2 is preferably 44 or greater, 44.3 or greater, 44.7 or greater, 45 or greater, 45.2 or greater, 45.4 or greater, 45.6 or greater, 45.8 or greater, and in particular, 46 or greater.


The mass ratio of Al2O3/(SnO2+ZrO2) is preferably 7.1 or less, 7.05 or less, 7.0 or less, 6.95 or less, 66.9 or less, 6.85 or less, 6.8 or less, 6.75 or less, 6.7 or less, 6.65 or less, 6.6 or less, 6.55 or less, 6.5 or less, 6.45 or less, 6.4 or less, 6.35 or less, 6.3 or less, 6.25 or less, 6.2 or less, 6.15 or less, 6.1 or less, 6.05 or less, 6.0 or less, 5.98 or less, 5.95 or less, 5.92 or less, 5.9 or less, 5.8 or less, 5.7 or less, 5.6 or less, and in particular, 5.5 or less. If Al2O3/(SnO2+ZrO2) is excessively high, nucleation does not proceed efficiently, which makes it difficult to achieve efficient crystallization. On the other hand, if Al2O3/(SnO2+ZrO2) is excessively small, the crystal nuclei increase in size, and the crystallized glass is more likely to be cloudy. Thus, the lower limit of Al2O3/(SnO2+ZrO2) is preferably 0.01 or greater.


MgO is a component that can be incorporated into Li2O—Al2O3—SiO2-based crystal to form a solid solution together to increase the thermal expansion coefficient of a Li2O—Al2O3—SiO2-based crystal. The content of MgO is preferably from 0 to 10%, from 0 to 8%, from 0 to 6%, from 0 to 5%, from 0 to 4.5%, from 0 to 4%, from 0 to 3.5%, from 0.02 to 3.5%, from 0.05 to 3.5%, from 0.08 to 3.5%, from 0.1 to 3.5%, from 0.1 to 3.3%, from 0.1 to 3%, from 0.13 to 3%, from 0.15 to 3%, from 0.17 to 3%, from 0.19 to 3%, from 0.2 to 2.9%, from 0.2 to 2.7%, from 0.2 to 2.5%, from 0.2 to 2.3%, from 0.2 to 2.2%, from 0.2 to 2.1%, and in particular, from 0.2 to 2%. If the content of MgO is excessively small, the thermal expansion coefficient tends to be excessively small. In addition, the amount of volume shrinkage that occurs in the crystal precipitation may be excessively large. In addition, a difference in thermal expansion coefficient between a crystal phase and a residual glass phase after crystallization becomes large, and thus, crystallized glass may become easily breakable. If the content of MgO is excessively large, crystallinity is excessively strong and the crystallized glass is easily subject to devitrification and becomes easily breakable. The thermal expansion coefficient tends to be excessively high.


P2O5 is a component that suppresses the precipitation of coarse ZrO2 crystals. The content of P2O5 is preferably from 0 to 10%, from 0 to 8%, from 0 to 6%, from 0 to 5%, from 0 to 4%, from 0 to 3.5%, from 0.02 to 3.5%, from 0.05 to 3.5%, from 0.08 to 3.5%, from 0.1 to 3.5%, from 0.1 to 3.3%, from 0.1 to 3%, from 0.13 to 3%, from 0.15 to 3%, from 0.17 to 3%, from 0.19 to 3%, from 0.2 to 2.9%, from 0.2 to 2.7%, from 0.2 to 2.5%, from 0.2 to 2.3%, from 0.2 to 2.2%, from 0.2 to 2.1%, from 0.2 to 2%, and in particular, from 0.3 to 1.8%. If the content of P2O5 is excessively small, coarse ZrO2 crystals precipitate and the glass is easily subject to devitrification, and thus, the crystallized glass may become easily breakable. On the other hand, if the content of P2O5 is excessively large, the amount of Li2O—Al2O3—SiO2-based crystals to precipitate decreases and the thermal expansion coefficient tends to be high.


Na2O is a component that can be incorporated into a Li2O—Al2O3—SiO2-based crystal to form a solid solution together, and is a component that has a significant effect on crystallinity and reduces the viscosity of the glass to improve glass meltability and formability. Na2O is used also for adjusting the thermal expansion coefficient and the refractive index of the crystallized glass. The content of Na2O is preferably from 0 to 10%, from 0 to 8%, from 0 to 6%, from 0 to 5%, from 0 to 4.5%, from 0 to 4%, from 0 to 3.5%, from 0 to 3%, from 0 to 2.7%, from 0 to 2.4%, from 0 to 2.1%, from 0 to 1.8%, and in particular, from 0 to 1.5%. If the content of Na2O is excessively large, crystallinity is excessively strong and the glass is easily subject to devitrification and the crystallized glass becomes easily breakable. An ionic radius of a Na cation is larger than a Li cation, a Mg cation, and the like, which are the constituent components of the main crystal, and the Na cation is not easily incorporated into the crystal, and thus, the Na cation after crystallization is likely to remain in the residual glass (glass matrix). Therefore, if the content of Na2O is excessively large, a refractive index difference between the crystal phase and the residual glass is likely to occur, and the crystallized glass tends to be cloudy. However, Na2O is easily mixed as an impurity, and thus, when it is attempted to completely remove Na2O, the production cost tends to increase due to increase in the cost of the raw material batch. In order to suppress the increase in production cost, the lower limit of the content of Na2O is preferably 0.0003% or greater, 0.0005% or greater, and in particular, 0.001% or greater.


K2O is a component that can be incorporated into a Li2O—Al2O3—SiO2-based crystal to form a solid solution together, and is a component that has a significant effect on crystallinity and reduces the viscosity of the glass to improve glass meltability and formability. K2O is used also for adjusting the thermal expansion coefficient and the refractive index of the crystallized glass. The content of K2O is preferably from 0 to 10%, from 0 to 8%, from 0 to 6%, from 0 to 5%, from 0 to 4.5%, from 0 to 4%, from 0 to 3.5%, from 0 to 3%, from 0 to 2.7%, from 0 to 2.4%, from 0 to 2.1%, from 0 to 1.8%, from 0 to 1.5%, from 0 to 1.4%, from 0 to 1.3%, from 0 to 1.2%, from 0 to 1.1%, from 0 to 1%, from 0 to 0.9%, and in particular, from 0.1 to 0.8%. If the content of K2O is excessively large, crystallinity is excessively strong and the glass is easily subject to devitrification and the crystallized glass becomes easily breakable. An ionic radius of a K cation is larger than a Li cation, a Mg cation, and the like, which are the constituent components of the main crystal, and the K cation is not easily incorporated into the crystal, and thus, the K cation after crystallization is likely to remain in the residual glass. Therefore, if the content of K2O is excessively large, a refractive index difference between the crystal phase and the residual glass is likely to occur, and the crystallized glass tends to be cloudy. However, K2O is easily mixed as an impurity, and thus, when it is attempted to completely remove K2O, the production cost tends to increase due to increase in the cost of the raw material batch. In order to suppress the increase in production cost, the lower limit of the content of K2O is preferably 0.0003% or greater, 0.0005% or greater, and in particular, 0.001% or greater.


Li2O, Na2O, and K2O are components that improve the meltability and the formability of the glass, but if the content of these components is excessively large, the low temperature viscosity excessively decreases, which may result in too high fluidity of the glass during crystallization. Li2O, Na2O, and K2O are components that may deteriorate the weather resistance, the water resistance, the chemical resistance, and the like of the glass before crystallization. If the glass before crystallization is degraded by moisture or the like, desired crystallization behavior, by extension, desired characteristics, may not be possibly obtained. On the other hand, ZrO2 is a component that functions as a nucleating agent, and has an effect of preferential crystallization at the initial stage of crystallization to suppress the flow of residual glass. ZrO2 has an effect of efficiently filling a void part of a glass network mainly composed of a SiO2 skeleton and inhibiting a diffusion of protons and various chemical components in the glass network, and improves weather resistance, water resistance, chemical resistance, and the like of glass before crystallization. To obtain crystallized glass having a desired shape and properties, (Li2O+Na2O+K2O)/ZrO2 should be controlled in a suitable manner The mass ratio of (Li2O+Na2O+K2O)/ZrO2 is preferably 2.0 or less, 1.98 or less, 1.96 or less, 1.94 or less, 1.92 or less, and in particular, 1.90 or less.


CaO is a component that reduces the viscosity of the glass and enhances the meltability and formability of the glass. CaO is used also for adjusting the thermal expansion coefficient and the refractive index of the crystallized glass. The content of CaO is preferably from 0 to 10%, from 0 to 8%, from 0 to 6%, from 0 to 5%, from 0 to 4.5%, from 0 to 4%, from 0 to 3.5%, from 0 to 3%, from 0 to 2.7%, from 0 to 2.4%, from 0 to 2.1%, from 0 to 1.8%, and in particular, from 0 to 1.5%. If the content of CaO is excessively large, the glass is easily subject to devitrification, and thus, the crystallized glass becomes easily breakable. An ionic radius of a Ca cation is larger than a Li cation, a Mg cation, and the like, which are the constituent components of the main crystal, and the Ca cation is not easily incorporated into the crystal, and thus, the Ca cation after crystallization is likely to remain in the residual glass. Therefore, if the content of CaO is excessively large, a refractive index difference between the crystal phase and the residual glass is likely to occur, and the crystallized glass tends to be cloudy. However, CaO is easily mixed as an impurity, and thus, when it is attempted to completely remove CaO, the production cost tends to increase due to increase in the cost of the raw material batch. In order to suppress the increase in production cost, the lower limit of the content of CaO is preferably 0.0001% or greater, 0.0003% or greater, and in particular, 0.0005% or greater.


SrO is a component that reduces the viscosity of the glass and enhances the meltability and formability of the glass. SrO is used also for adjusting the thermal expansion coefficient and the refractive index of the crystallized glass. The content of SrO is preferably from 0 to 10%, from 0 to 8%, from 0 to 6%, from 0 to 5%, from 0 to 4.5%, from 0 to 4%, from 0 to 3.5%, from 0 to 3%, from 0 to 2.7%, from 0 to 2.4%, from 0 to 2.1%, from 0 to 1.8%, from 0 to 1.5%, and in particular, from 0 to 1%. If the content of SrO is excessively large, the glass is easily subject to devitrification, and thus, the crystallized glass becomes easily breakable. An ionic radius of a Sr cation is larger than a Li cation, a Mg cation, and the like, which are the constituent components of the main crystal, and the Sr cation is not easily incorporated into the crystal, and thus, the Sr cation after crystallization is likely to remain in the residual glass. Therefore, if the content of SrO is excessively large, a refractive index difference between the crystal phase and the residual glass is likely to occur, and the crystallized glass tends to be cloudy. However, SrO is easily mixed as an impurity, and thus, when it is attempted to completely remove SrO, the production cost tends to increase due to increase in the cost of the raw material batch. In order to suppress the increase in production cost, the lower limit of the content of SrO is preferably 0.0001% or greater, 0.0003% or greater, and in particular, 0.0005% or greater.


BaO is a component that reduces the viscosity of the glass and enhances the meltability and formability of the glass. BaO is used also for adjusting the thermal expansion coefficient and the refractive index of the crystallized glass. The content of BaO is preferably from 0 to 10%, from 0 to 8%, from 0 to 6%, from 0 to 5%, from 0 to 4.5%, from 0 to 4%, from 0 to 3.5%, from 0 to 3%, from 0 to 2.7%, from 0 to 2.4%, from 0 to 2.1%, from 0 to 1.8%, from 0 to 1.5%, and in particular, from 0 to 1%. If the content of BaO is excessively large, crystals containing Ba precipitate, and the glass is easily subject to devitrification, and the crystallized glass becomes easily breakable. An ionic radius of a Ba cation is larger than a Li cation, a Mg cation, and the like, which are the constituent components of the main crystal, and the Ba cation is not easily incorporated into the crystal, and thus, the Ba cation after crystallization is likely to remain in the residual glass. Therefore, if the content of BaO is excessively large, a refractive index difference between the crystal phase and the residual glass is likely to occur, and the crystallized glass tends to be cloudy. However, BaO is easily mixed as an impurity, and thus, when it is attempted to completely remove BaO, the production cost tends to increase due to increase in the cost of the raw material batch. In order to suppress the increase in production cost, the lower limit of the content of BaO is preferably 0.0001% or greater, 0.0003% or greater, and in particular, 0.0005% or greater.


MgO, CaO, SrO, and BaO are components that improve the meltability and the formability of the glass, but if the content of these components is excessively high, the low temperature viscosity excessively decreases, which may result in too high fluidity of the glass during crystallization. On the other hand, ZrO2 is a component that functions as a nucleating agent, and has an effect of preferential crystallization at the initial stage of crystallization to suppress the flow of residual glass. To obtain crystallized glass having a desired shape and properties, (MgO+CaO+SrO+BaO)/ZrO2 should be controlled in a suitable manner The mass ratio of (MgO+CaO+SrO+BaO)/ZrO2 is preferably from 0 to 3, from 0 to 2.8, from 0 to 2.6, from 0 to 2.4, from 0 to 2.2, from 0 to 2.1, from 0 to 2, from 0 to 1.8, from 0 to 1.7, from 0 to 1.6, and in particular, from 0 to 1.5.


Na2O, K2O, CaO, SrO, and BaO are likely to remain in the residual glass after crystallization. Therefore, if the total amount of these components are excessively large, a refractive index difference between the crystal phase and the residual glass is likely to occur, and the crystallized glass is likely to be cloudy. Therefore, the content of Na2O+K2O+CaO+SrO+BaO is preferably 8% or less, 7% or less, 6% or less, 5% or less, 4.5% or less, 4% or less, 3.5% or less, 3% or less, 2.7% or less, 2.42% or less, 2.415% or less, 2.410% or less, 2.405% or less, and in particular, 2.4% or less.


Li2O, Na2O, K2O, MgO, CaO, SrO, and BaO are components that improve the meltability and the formability of the glass. A glass melt containing a large amount of MgO, CaO, SrO, and BaO tends to exhibit a gradual change in viscosity (viscosity curve) versus the temperature, and a glass melt containing a large amount of Li2O, Na2O, and K2O tends to exhibit a steep change. If the change in the viscosity curve is excessively gradual, the glass still flows even after the glass is formed into a desired shape, and obtaining a desired shape is not easy. On the other hand, if the change in the viscosity curve is excessively steep, the glass melt solidifies during the formation, and obtaining a desired shape is not easy. Therefore, (MgO+CaO+SrO+BaO)/(Li2O+Na2O+K2O) should be controlled in a suitable manner The mass ratio of (MgO+CaO+SrO+BaO)/(Li2O+Na2O+K2O) is preferably from 0 to 2, from 0 to 1.8, from 0 to 1.5, from 0 to 1.2, from 0 to 1, from 0 to 0.9, from 0 to 0.8, from 0 to 0.7, from 0 to 0.6, from 0 to 0.5, and in particular, from 0 to 0.45.


ZnO is a component that can be incorporated into Li2O—Al2O3—SiO2-based crystal to form a solid solution together and applies a great effect on the crystallinity. ZnO is used also for adjusting the thermal expansion coefficient and the refractive index of the crystallized glass. The content of ZnO is preferably from 0 to 10%, from 0 to 8%, from 0 to 6%, from 0 to 5%, from 0 to 4.5%, from 0 to 4%, from 0 to 3.5%, from 0 to 3%, from 0 to 2.7%, from 0 to 2.4%, from 0 to 2.1%, from 0 to 1.8%, from 0 to 1.5%, and in particular, from 0 to 1%. If the content of ZnO is excessively large, crystallinity is excessively strong and the crystallized glass is more susceptible to devitrification and becomes easily breakable. However, ZnO is easily mixed as an impurity, and thus, when it is attempted to completely remove ZnO, the production cost tends to increase due to increase in the cost of the raw material batch. In order to suppress the increase in production cost, the lower limit of the content of ZnO is preferably 0.0001% or greater, 0.0003% or greater, and in particular, 0.0005% or greater.


In the Li2O—Al2O3—SiO2-based crystallized glass, a Li cation, a Mg cation, and a Zn cation are components that easily dissolve in a β-quartz solid solution, and these cations dissolve in the crystal while charge-compensating for the Al cation. Specifically, these cations may possibly dissolve in the form of Si4+⇔Al3++(Li2O, ½×Mg2+, ½×Zn2+), for example, and a ratio of the Al cation to the Li cation, the Mg cation, and the Zn cation affects the stability of the β-quartz solid solution. In the composition described in the present application, in order to stably obtain the crystallized glass which is brought closer to colorless and transparent and is brought closer to zero expansion, the mass ratio of Al2O3/(Li2O+(½×(MgO+ZnO) is preferably from 3.0 to 8.0, from 3.2 to 7.8, from 3.4 to 7.6, from 3.5 to 7.5, from 3.7 to 7.5, from 4.0 to 7.5, from 4.3 to 7.5, from 4.5 to 7.5, from 4.8 to 7.5, from 5.0 to 7.5, from 5.5 to 7.3, from 5.5 to 7.1, from 5.5 to 7.0, from 5.5 to 6.8, from 5.5 to 6.7, from 5.5 to 6.6, and in particular, from 5.5 to 6.5.


Y2O3 is a component that reduces the viscosity of the glass and enhances the meltability and formability of the glass. Y2O3 is used also for improving the Young's modulus of the crystallized glass and adjusting the thermal expansion coefficient and the refractive index. The content of Y2O3 is preferably from 0 to 10%, from 0 to 8%, from 0 to 6%, from 0 to 5%, from 0 to 4.5%, from 0 to 4%, from 0 to 3.5%, from 0 to 3%, from 0 to 2.7%, from 0 to 2.4%, from 0 to 2.1%, from 0 to 1.8%, from 0 to 1.5%, and in particular, from 0 to 1%. If the content of Y2O3 is excessively large, crystals containing Y precipitate, and the glass is easily subject to devitrification, and the crystallized glass becomes easily breakable. An ionic radius of a Y cation is larger than a Li cation, a Mg cation, and the like, which are the constituent components of the main crystal, and the Y cation is not easily incorporated into the crystal, and thus, the Y cation after crystallization is likely to remain in the residual glass. Therefore, if the content of Y2O3 is excessively large, a refractive index difference between the crystal phase and the residual glass is likely to occur, and the crystallized glass tends to be cloudy. However, Y2O3 may be mixed as an impurity, and thus, when it is attempted to completely remove Y2O3, the production cost tends to increase due to increase in the cost of the raw material batch. In order to suppress the increase in production cost, the lower limit of the content of Y2O3 is preferably 0.0001% or greater, 0.0003% or greater, and in particular, 0.0005% or greater.


In the Li2O—Al2O3—SiO2-based crystallized glass, a Li cation, a Mg cation, and a Zn cation are components that easily dissolve in a β-quartz solid solution, and compared with the Ba cation and the like, components that may contribute slightly to an increase in refractive index of the residual glass after crystallization. Li2O, MgO, and ZnO function as a flux when vitrifying the raw material, and thus, it can be said that these components are important for producing colorless and transparent crystallized glass at a low temperature. Li2O is an essential component to achieve low expansion, and is preferably contained at least 1%. A sufficient amount of Li2O should be contained in order to achieve a desired thermal expansion coefficient and the like. However, in such a case, if the contents of MgO and ZnO are also increased correspondingly, the viscosity of the glass may decrease excessively. If the low temperature viscosity is excessively low, during firing, the fluidity of the softened glass is excessively large, and thus, crystallization into a desired shape may be difficult. If the high temperature viscosity is excessively low, the thermal load on the manufacturing equipment is reduced, but the speed of convection during heating increases, and this may result in a risk that refractories and the like are easily eroded physically. Therefore, it is preferable to control a content ratio of Li2O, MgO, and ZnO, and in particular, it is preferable to control the total amount of MgO and ZnO relative to Li2O that functions well as a flux. Therefore, the mass ratio of (MgO+ZnO)/Li2O is preferably 0.394 or less, 0.393 or less, 0.392 or less, 0.391 or less, and in particular, 0.390 or less, and alternatively, 0.755 or greater, 0.756 or greater, 0.757 or greater, 0.758 or greater, and in particular, 0.759 or greater.


B2O3 is a component that reduces the viscosity of the glass and enhances the meltability and formability of the glass. B2O3 component may contribute to the likelihood of phase separation during crystal nucleus formation. The content of B2O3 is preferably from 0 to 10%, from 0 to 8%, from 0 to 6%, from 0 to 5%, from 0 to 4.5%, from 0 to 4%, from 0 to 3.5%, from 0 to 3%, from 0 to 2.7%, from 0 to 2.4%, from 0 to 2.1%, from 0 to 1.8%, and in particular, from 0 to 1.5%. If the content of B2O3 is excessively large, the amount of B2O3 that evaporates during melting increases, and an environmental burden increases. However, B2O3 is easily mixed as an impurity, and thus, when it is attempted to completely remove B2O3, the production cost tends to increase due to increase in the cost of the raw material batch. In order to suppress the increase in production cost, the crystallized glass may contain 0.0001% or greater, 0.0003% or greater, and in particular, 0.0005% or greater of B2O3.


It is known that in the Li2O—Al2O3—SiO2-based crystallized glass, phase separated regions are formed within the glass prior to crystal nucleation, and then crystal nuclei including TiO2 and ZrO2 are formed within the phase separated region. SnO2, ZrO2, P2O5, TiO2, and B2O3 serve a vital role in the phase separation formation, and thus, the content of SnO2+ZrO2+P2O5+TiO2+B2O3 is preferably from 1.5 to 30%, from 1.5 to 26%, from 1.5 to 22%, from 1.5 to 20%, from 1.5 to 18%, from 1.5 to 16%, from 1.5 to 15%, from 1.8 to 15%, from 2.1 to 15%, from 2.4 to 15%, from 2.5 to 15%, from 2.8 to 15%, from 2.8 to 13%, from 2.8 to 12%, from 2.8 to 11%, from 2.8 to 10%, from 3 to 9.5%, from 3 to 9.2%, and in particular, from 3 to 9%, and the mass ratio of SnO2/(SnO2+ZrO2+P2O5+TiO2+B2O3) is preferably 0.06 or greater, 0.07 or greater, 0.08 or greater, 0.09 or greater, 0.1 or greater, 0.103 or greater, 0.106 or greater, 0.11 or greater, 0.112 or greater, 0.115 or greater, 0.118 or greater, 0.121 or greater, 0.124 or greater, 0.127 or greater, 0.128 or greater, in particular, 0.13 or greater. If the content of P2O5+B2O3+SnO2+TiO2+ZrO2 is excessively small, the phase separated region is not easily formed and crystallization is difficult. On the other hand, if the content of P2O5+B2O3+SnO2+TiO2 +ZrO2 is excessively large, and/or if SnO2/(SnO2+ZrO2+P2O5+TiO2+B2O3) is excessively small, the phase separated region increases in size, which may make the crystallized glass cloudy. Note that the upper limit of SnO2/(SnO2+ZrO2+P2O5+TiO2+B2O3) is not particularly limited, but realistically, 0.9 or less is preferable.


Fe2O3 is a component that increases the degree of coloration of the glass, and in particular, due to the interaction with TiO2 and SnO2, remarkably strengthens the coloration. The content of Fe2O3 is preferably 0.10% or less, 0.08% or less, 0.06% or less, 0.05% or less, 0.04% or less, 0.035% or less, 0.03% or less, 0.02% or less, 0.015% or less, 0.013% or less, 0.012% or less, 0.011% or less, 0.01% or less, 0.009% or less, 0.008% or less, 0.007% or less, 0.006% or less, 0.005% or less, 0.004% or less, 0.003% or less, and in particular, 0.002% or less. However, Fe2O3 is easily mixed as an impurity, and thus, when it is attempted to completely remove Fe2O3, the production cost tends to increase due to increase in the cost of the raw material batch. In order to suppress the increase in production cost, the lower limit of the content of Fe2O3 is preferably 0.0001% or greater, 0.0002% or greater, 0.0003% or greater, 0.0005% or greater, and in particular, 0.001% or greater.


When titanium and iron coexist, an ilmenite (FeTiO3)-like coloration may develop. Particularly, in the Li2O—Al2O3—SiO2-based crystallized glass, titanium and iron components that do not precipitate as crystal nuclei or main crystals may remain in the residual glass after crystallization, and the development of the coloration may be promoted. It is possible to reduce the amount of such components when the composition is designed, but TiO2 and Fe2O3 are easily mixed as an impurity, and thus, when it is attempted to completely remove TiO2 and Fe2O3, the production cost tends to increase due to increase in the cost of the raw material batch. Therefore, in order to suppress the increase in production cost, TiO2 and Fe2O3 may be contained within the above-described range, and, in the perspective of further reducing costs, both components may be contained as long as an unacceptable level of coloration does not occur. In such a case, the mass ratio of TiO2/(TiO2+Fe2O3) is preferably from 0.001 to 0.999, from 0.003 to 0.997, from 0.005 to 0.995, from 0.007 to 0.993, from 0.009 to 0.991, from 0.01 to 0.99, from 0.1 to 0.9, from 0.15 to 0.85, from 0.2 to 0.8, from 0.25 to 0.25, from 0.3 to 0.7, from 0.35 to 0.65, and in particular, from 0.4 to 0.6. This makes it easy to achieve low-cost production of crystallized glass with high level of colorless transparency.


Pt is a component that may be mixed into glass as ions, colloid, or metal, and develop coloration such as yellow to brown. Such a tendency becomes prominent after crystallization. Further, after careful consideration, it was revealed that when Pt is mixed, nucleation and crystallization behavior of crystallized glass may be affected, and as a result the glass may be cloudy. Therefore, the content of the Pt is preferably 7 ppm or less, 6 ppm or less, 5 ppm or less, 4 ppm or less, 3 ppm or less, 2 ppm or less, 1.6 ppm or less, 1.4 ppm or less, 1.2 ppm or less, 1 ppm or less, 0.9 ppm or less, 0.8 ppm or less, 0.7 ppm or less, 0.6 ppm or less, 0.5 ppm or less, 0.45 ppm or less, 0.40 ppm or less, 0.35 ppm or less, and in particular, 0.30 ppm or less. It is preferable to avoid contamination of Pt where possible, but if general melting equipment is used, the use of a Pt material may be desired to obtain homogeneous glasses. Therefore, if it is attempted to completely remove Pt, the production cost tends to increase. As long as the coloration is not adversely affected, to suppress the increase in production cost, the lower limit of the content of Pt is preferably 0.0001 ppm or greater, 0.001 ppm or greater, 0.005 ppm or greater, 0.01 ppm or greater, 0.02 ppm or greater, 0.03 ppm or greater, 0.04 ppm or greater, 0.05 ppm or greater, 0.06 ppm or greater, and in particular, 0.07 ppm or greater. In a case where coloration is permitted, similarly to ZrO2 and TiO2, Pt may be used as a nucleating agent that promotes precipitation of main crystals. In that case, Pt alone may be a nucleating agent, or as a complex, Pt and other components may be a nucleating agent. In a case where Pt is a nucleating agent, any form (colloid, metal crystal, and the like) may be used.


Rh is a component that may be mixed into glass as ions, colloid, or metal, and similarly to Pt, develop coloration such as yellow to brown to possibly make crystallized glass cloudy. Therefore, the content of Rh is preferably 7 ppm or less, 6 ppm or less, 5 ppm or less, 4 ppm or less, 3 ppm or less, 2 ppm or less, 1.6 ppm or less, 1.4 ppm or less, 1.2 ppm or less, 1 ppm or less, 0.9 ppm or less, 0.8 ppm or less, 0.7 ppm or less, 0.6 ppm or less, 0.5 ppm or less, 0.45 ppm or less, 0.40 ppm or less, 0.35 ppm or less, and in particular, 0.30 ppm or less. It is preferable to avoid contamination of Rh where possible, but if general melting equipment is used, the use of a Rh material may be desired to obtain homogeneous glasses. Therefore, if it is attempted to completely remove Rh, the production cost tends to increase. As long as the coloration is not adversely affected, to suppress the increase in production cost, the lower limit of the content of Rh is preferably 0.0001 ppm or greater, 0.001 ppm or greater, 0.005 ppm or greater, 0.01 ppm or greater, 0.02 ppm or greater, 0.03 ppm or greater, 0.04 ppm or greater, 0.05 ppm or greater, 0.06 ppm or greater, and in particular, 0.07 ppm or greater. In a case where coloration is permitted, similarly to ZrO2 and TiO2, Rh may be used as a nucleating agent. In that case, Rh alone may be a nucleating agent, or as a complex, Rh and other components may be a nucleating agent. In a case where Pt is a nucleating agent that promotes precipitation of main crystals, any form (colloid, metal crystal, and the like) may be used.


The content of Pt+Rh is preferably 9 ppm or less, 8 ppm or less, 7 ppm or less, 6 ppm or less, 5 ppm or less, 4.75 ppm or less, 4.5 ppm or less, 4.25 ppm or less, 4 ppm or less, 3.75 ppm or less, 3.5 ppm or less, 3.25 ppm or less, 3 ppm or less, 2.75 ppm or less, 2.5 ppm or less, 2.25 ppm or less, 2 ppm or less, 1.75 ppm or less, 1.5 ppm or less, 1.25 ppm or less, 1 ppm or less, 0.95 ppm or less, 0.9 ppm or less, 0.85 ppm or less, 0.8 ppm or less, 0.75 ppm or less, 0.7 ppm or less, 0.65 ppm or less, 0.60 ppm or less, 0.55 ppm or less, 0.50 ppm or less, 0.45 ppm or less, 0.40 ppm or less, 0.35 ppm or less, and in particular, 0.30 ppm or less. It is preferable to avoid contamination of Pt and Rh where possible, but if general melting equipment is used, the use of a Pt material or Rh material may be desired to obtain homogeneous glasses. Therefore, if it is attempted to completely remove Pt and Rh, the production cost tends to increase. As long as the coloration is not adversely affected, to suppress the increase in production cost, the lower limit of Pt+Rh is preferably 0.0001 ppm or greater, 0.001 ppm or greater, 0.005 ppm or greater, 0.01 ppm or greater, 0.02 ppm or greater, 0.03 ppm or greater, 0.04 ppm or greater, 0.05 ppm or greater, 0.06 ppm or greater, and in particular, 0.07 ppm or greater.


Typically, in developing glass materials, glasses having different compositions are produced using various crucibles. Therefore, there is often platinum and rhodium evaporated from the crucible inside the electric furnace used for melting. It was confirmed that the Pt and Rh present in the electric furnace are mixed into the glass. The amount of Pt and Rh to be mixed can be controlled by selecting appropriate raw materials and crucible materials. In addition, the contents of Pt and Rh in the glass can also be controlled by attaching a quartz lid to the crucible, lowering the melting temperature, shortening the time required for melting, or the like.


MoO3 is a component that may be mixed from raw materials, melting materials, and the like, and is a component that promotes crystallization. The content of MoO3 is preferably from 0 to 10%, from 0 to 8%, from 0 to 6%, from 0 to 5%, from 0 to 4.5%, from 0 to 4%, from 0 to 3.5%, from 0 to 3%, from 0 to 2.7%, from 0 to 2.4%, from 0 to 2.1%, from 0 to 1.8%, from 0 to 1.5%, from 0 to 1%, from 0 to 0.5%, from 0 to 0.1%, from 0 to 0.05%, from 0 to 0.01%, in particular, from 0 to 0.005%. If the content of MoO3 is excessively large, crystals containing Mo precipitate, and the glass is easily subject to devitrification, and the crystallized glass becomes easily breakable. An ionic radius of a Mo cation is larger than a Li cation, a Mg cation, and the like, which are the constituent components of the main crystal, and the Mo cation is not easily incorporated into the crystal, and thus, the Mo cation after crystallization is likely to remain in the residual glass. Therefore, if the content of MoO3 is excessively large, a refractive index difference between the crystal phase and the residual glass is likely to occur, and the crystallized glass tends to be cloudy. If the content of MoO3 is excessively large, the glass may be colored in yellow. However, MoO3 may be mixed as an impurity, and thus, when it is attempted to completely remove MoO3, the production cost tends to increase due to increase in the cost of the raw material batch. In order to suppress the increase in production cost, the lower limit of the content of MoO3 is preferably greater than 0%, 0.0001% or greater, 0.0003% or greater, and in particular, 0.0005% or greater.


As2O3 and Sb2O3 are highly toxic, and may pollute the environment during glass manufacturing processing, disposal of waste glass, and the like. Thus, the content of Sb2O3+As2O3 is preferably 2% or less, 1% or less, 0.7% or less, less than 0.7%, 0.65% or less, 0.6% or less, 0.55% or less, 0.5% or less, 0.45% or less, 0.4% or less, 0.35% or less, 0.3% or less, 0.25% or less, 0.2% or less, 0.15% or less, 0.1% or less, 0.05% or less, and in particular, it is preferable that substantially no Sb2O3+As2O3 is contained (specifically, the content is preferably less than 0.01 mass %). Note that if As2O3 and Sb2O3 are contained, these components may be functioned as fining agents and nucleating agents.


In addition to the above components, as long as no adverse effect is applied on the coloration, the Li2O—Al2O3—SiO2-based crystallized glass of the present invention may contain minor components, such as H2, CO2, CO, H2O, He, Ne, Ar, and N2, each of which may be contained at up to 0.1%. An intentional addition of Ag, Au, Pd, Ir, V, Cr, Sc, Ce, Pr, Pm, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Yb, Lu, Ac, Th, Pa, U, and the like in the glass increases raw material costs, and tends to increase production costs. On the other hand, if a glass containing Ag, Au, and the like is subjected to light irradiation or heat treatment, aggregates of such components are formed, and crystallization may be promoted from such aggregates. If Pd and the like, which have various catalytic effects, are contained, it is possible to impart unique functions to the glass or the crystallized glass. In view of these circumstances, with an aim to promote crystallization or impart other functions, the crystallized glass may contain 1% or less, 0.5% or less, 0.3% or less, and 0.1% or less of each of the above components, and otherwise, it is preferable to contain 500 ppm or less, 300 ppm or less, 100 ppm or less, and in particular 10 ppm or less of each of the above components.


As long as no adverse effect is applied on the coloration, the Li2O—Al2O3—SiO2-based crystallized glass of the present invention may contain up to 10% of SO3, MnO, Cl2, La2O3, WO3, HfO2, Ta2O5, Nd2O3, Nb2O5, RfO2, and the like, in total. However, raw material batches of these components are costly and use of such raw material batches tends to increase production costs, and thus, unless there are special circumstances, these components may not be added. In particular, HfO2 has a high raw material cost and Ta2O5 may be a conflict mineral, and thus, the total amount of these components is preferably, in mass %, 5% or less, 4% or less, 3% or less, 2% or less, 1% or less, 0.5% or less, 0.4% or less, 0.3% or less, 0.2% or less, 0.1% or less, 0.05% or less, less than 0.05%, 0.049% or less, 0.048% or less, 0.047% or less, 0.046% or less, and in particular, 0.045% or less.


That is, a preferred composition range for implementing the Li2O—Al2O3—SiO2-based crystallized glass of the present invention is: SiO2 from 50 to 75%, Al2O3 from 10 to 30%, Li2O from 1 to 8%, SnO2 from 0 to 5%, ZrO2 from 1 to 5%, MgO from 0 to 10%, P2O5 from 0 to 5%, TiO2 from 0 to less than 1.5%, (Li2O+Na2O+K2O)/ZrO2 from 0 to 1.5, TiO2/(TiO2+Fe2O3) from 0.01 to 0.99, (MgO+ZnO)/Li2O from 0 to 0.8, and β-OH value from 0.001 to 2/mm; preferably, SiO2 from 50 to 75%, Al2O3 from 10 to 30%, Li2O from 1 to 8%, SnO2 from greater than 0 to 5%, ZrO2 from 1 to 5%, MgO from 0 to 10%, P2O5 from 0 to 5%, TiO2 from 0 to less than 1.5%, (Li2O+Na2O+K2O)/ZrO2 from 0 to 1.5, TiO2/(TiO2+Fe2O3) from 0.01 to 0.99, (MgO+ZnO)/Li2O from 0 to 0.8, (MgO+CaO+SrO+BaO)/(Li2O+Na2O+K2O) from 0 to 0.5, and β-OH value from 0.001 to 2/mm; more preferably, SiO2 from 50 to 75%, Al2O3 from 10 to 30%, Li2O from 1 to 8%, SnO2 from greater than 0 to 5%, ZrO2 from 1 to 5%, MgO from 0 to 10%, P2O5 from 0 to 5%, TiO2 from 0 to less than 1.5%, (Li2O+Na2O+K2O)/ZrO2 from 0 to 1.5, TiO2/(TiO2+Fe2O3) from 0.01 to 0.99, (MgO+ZnO)/Li2O from 0 to 0.8, (MgO+CaO+SrO+BaO)/(Li2O+Na2O+K2O) from 0 to 0.5, and (MgO+CaO+SrO+BaO)/ZrO2 from 0 to 2, and β-OH value from 0.001 to 2/mm; further preferably, SiO2 from 50 to 75%, Al2O3 from 10 to 30%, Li2O from 1 to 8%, SnO2 from greater than 0 to 5%, ZrO2 from 1 to 5%, MgO from 0 to 10%, P2O5 from 0 to 5%, TiO2 from 0 to less than 1.5%, (Li2O+Na2O+K2O)/ZrO2 from 0 to 1.5, TiO2/(TiO2+Fe2O3) from 0.01 to 0.99, (MgO+ZnO)/Li2O from 0 to 0.8, (MgO+CaO+SrO+BaO)/(Li2O+Na2O+K2O) from 0 to 0.5, and (MgO+CaO+SrO+BaO)/ZrO2 from 0 to 2, SnO2/(SnO2+ZrO2+P2O5+TiO2+B2O3) from 0.06 to 0.9, and β-OH value from 0.001 to 2/mm; further preferably, SiO2 from 50 to 75%, Al2O3 from 10 to 30%, Li2O from 1 to 8%, SnO2 from greater than 0 to 5%, ZrO2 from 1 to 5%, MgO from 0 to 10%, P2O5 from 0 to 5%, TiO2 from 0 to less than 1.5%, (Li2O+Na2O+K2O)/ZrO2 from 0 to 1.5, TiO2/(TiO2+Fe2O3) from 0.01 to 0.99, (MgO+ZnO)/Li2O from 0 to 0.8, (MgO+CaO+SrO+BaO)/(Li2O+Na2O+K2O) from 0 to 0.5, (MgO+CaO+SrO+BaO)/ZrO2 from 0 to 2, SnO2/(SnO2+ZrO2+P2O5+TiO2+B2O3) from 0.06 to 0.9, Pt+Rh from 0 to 5 ppm, and β-OH value from 0.001 to 2/mm; further preferably, SiO2 from 50 to 75%, Al2O3 from 10 to 30%, Li2O from 1 to 8%, SnO2 from greater than 0 to 5%, ZrO2 from 1 to 5%, MgO from 0 to 10%, P2O5 from 0 to 5%, TiO2 from 0 to less than 1.5%, (Li2O+Na2O+K2O)/ZrO2 from 0 to 1.5, TiO2/(TiO2+Fe2O3) from 0.01 to 0.99, (MgO+ZnO)/Li2O from 0 to 0.394, (MgO+CaO+SrO+BaO)/(Li2O+Na2O+K2O) from 0 to 0.5, (MgO+CaO+SrO+BaO)/ZrO2 from 0 to 2, SnO2/(SnO2+ZrO2+P2O5+TiO2 +B2O3) from 0.06 to 0.9, Pt+Rh from 0 to 5 ppm, and β-OH value from 0.001 to 2/mm, further preferably, SiO2 from 50 to 75%, Al2O3 from 10 to 30%, Li2O from 1 to 8%, SnO2 from greater than 0 to 5%, ZrO2 from 1 to 5%, MgO from 0 to 10%, P2O5 from 0 to 5%, TiO2 from 0 to less than 1.5%, (Li2O+Na2O+K2O)/ZrO2 from 0 to 1.5, TiO2/(TiO2+Fe2O3) from 0.01 to 0.99, (MgO+ZnO)/Li2O from 0 to 0.394, (MgO+CaO+SrO+BaO)/(Li2O+Na2O+K2O) from 0 to 0.5, (MgO+CaO+SrO+BaO)/ZrO2 from 0 to 2, SnO2/(SnO2+ZrO2+P2O5+TiO2+B2O3) from 0.06 to 0.9, Pt+Rh from 0 to 5 ppm, HfO2+Ta2O5 from 0 to less than 0.05%, β-OH value from 0.001 to 2/mm, and Sb2O3+As2O3 from less than 0.7%; and most preferably, SiO2 from 50 to 75%, Al2O3 from 10 to 30%, Li2O from 1 to 8%, SnO2 from greater than 0 to 5%, ZrO2 from 1 to 5%, MgO from 0 to 10%, P2O5 from 0 to 5%, TiO2 from 0 to less than 1.5%, (Li2O+Na2O+K2O)/ZrO2 from 0 to 1.5, TiO2/(TiO2+Fe2O3) from 0.01 to 0.99, (MgO+ZnO)/Li2O from 0 to 0.394, (MgO+CaO+SrO+BaO)/(Li2O+Na2O+K2O) from 0 to 0.5, and (MgO+CaO+SrO+BaO)/ZrO2 from 0 to 2, SnO2/(SnO2+ZrO2+P2O5+TiO2+B2O3) from 0.06 to 0.9, Pt+Rh from 0 to 5 ppm, HfO2+Ta2O5 from 0 to less than 0.05%, β-OH value from 0.001 to 2/mm, Sb2O3+As2O3 from less than 0.7%, and Al2O3/(Li2O+(½×(MgO+ZnO))) from 5.0 to 7.5.


The Li2O—Al2O3—SiO2-based crystallized glass of the present invention having the above-described composition is likely to have colorless and transparent appearance.


The Li2O—Al2O3—SiO2-based crystallized glass of the present invention preferably has a β-OH value from 0.001 to 2/mm, from 0.01 to 1.5/mm, from 0.02 to 1.5/mm, from 0.03 to 1.2/mm, from 0.04 to 1.5/mm, from 0.05 to 1/mm, from 0.06 to 1/mm, from 0.07 to 1/mm, from 0.08 to 0.9/mm, from 0.08 to 0.85/mm, from 0.08 to 0.8/mm, from 0.08 to 0.75/mm, from 0.08 to 0.7/mm, from 0.08 to 0.65/mm, from 0.08 to 0.6/mm, from 0.08 to 0.55/mm, from 0.08 to 0.54/mm, from 0.08 to 0.53/mm, from 0.08 to 0.52/mm, from 0.08 to 0.51/mm, and in particular, from 0.08 to 0.5/mm If the β-OH value is excessively small, a crystal nucleus formation rate in the crystallization step is decreased, and a smaller number of crystal nuclei may be generated. As a result, the number of coarse crystals increases, making the crystallized glass cloudy and easily impairing transparency of the glass. The reasons why a high β-OH value promotes crystallization is not completely known, but it is assumed that one of the reasons is that the β-OH groups weaken the bond of the glass skeleton and lower the viscosity of the glass. It is assumed that another reason is that the presence of the β-OH groups in the glass leads to increasing the mobility of components that can function as a crystal nucleus, such as Zr. On the other hand, if the β-OH value is excessively large, bubbles are likely to be generated at interface between the glass and a glass manufacturing furnace member made of metal containing Pt and the like, and a glass manufacturing furnace members made of refractories, and the like, and thus, the quality of a glass product may be deteriorated. Further, a β-quartz solid solution crystal easily transitions to a β-spodumene solid solution crystal and the like, and thus, the crystal grain may increase in size, and in addition, a refractive index difference is likely to occur inside the crystallized glass, and as a result, the crystallized glass is more likely to be cloudy. Note that the β-OH value is changed depending on the raw material, the melting atmosphere, the melting temperature, the melting time, and the like, and as necessary, these conditions can be changed to adjust the β-OH value.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a transmittance at a thickness of 3 mm and a wavelength of 200 nm is preferably 0% or greater, 2.5% or greater, 5% or greater, 10% or greater, 12% or greater, 14% or greater, 16% or greater, 18% or greater, 20% or greater, 22% or greater, 24% or greater, 26% or greater, 28% or greater, 30% or greater, 32% or greater, 34% or greater, 36% or greater, 38% or greater, 40% or greater, 40.5% or greater, 41% or greater, 41.5% or greater, 42% or greater, 42.5% or greater, 43% or greater, 43.5% or greater, 44% or greater, 44.5% or greater, and in particular, 45% or greater. For applications in which the crystallized glass needs to transmit ultraviolet light, if the transmittance at a wavelength of 200 nm is excessively low, the desired transmission performance may not be obtained. In particular, in use of optical cleaning employing an ozone lamps and the like, a medical application using an excimer laser, and an exposure application, for example, a higher transmittance at a wavelength of 200 nm is preferable.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a transmittance at a thickness of 3 mm and a wavelength of 250 nm is preferably 0% or greater, 1% or greater, 2% or greater, 3% or greater, 4% or greater, 5% or greater, 6% or greater, 7% or greater, 8% or greater, 9% or greater, 10% or greater, 10.5% or greater, 11% or greater, 11.5% or greater, 12% or greater, 12.5% or greater, 13% or greater, 13.5% or greater, 14% or greater, 14.5% or greater, 15% or greater, 15.5% or greater, and in particular, 16% or greater. For applications in which the crystallized glass needs to transmit ultraviolet light, if the transmittance at a wavelength of 250 nm is excessively low, the desired transmission performance may not be obtained. In particular, in use of a sterilization application using a low-pressure mercury lamps and the like and a processing application using a YAG laser and the like, for example, a higher transmittance at a wavelength of 250 nm is preferable.


The Li2O—Al2O3—SiO2-based crystallized glass of the present invention preferably has a transmittance at a thickness of 3 mm and a wavelength of 300 nm of 0% or greater, 2.5% or greater, 5% or greater, 10% or greater, 12% or greater, 14% or greater, 16% or greater, 18% or greater, 20% or greater, 22% or greater, 24% or greater, 26% or greater, 28% or greater, 30% or greater, 32% or greater, 34% or greater, 36% or greater, 38% or greater, 40% or greater, 40.5% or greater, 41% or greater, 41.5% or greater, 42% or greater, 42.5% or greater, 43% or greater, 43.5% or greater, 44% or greater, 44.5% or greater, and in particular, 45% or greater. In particular, in use of UV curing, adhesion, drying (UV curing), fluorescence detection of printed matter, and an application for attracting an insect, for example, a higher transmittance at a wavelength of 300 nm is preferable.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a transmittance at a thickness of 3 mm and a wavelength of 325 nm is preferably 0% or greater, 2.5% or greater, 5% or greater, 10% or greater, 12% or greater, 14% or greater, 16% or greater, 18% or greater, 20% or greater, 22% or greater, 24% or greater, 26% or greater, 28% or greater, 30% or greater, 32% or greater, 34% or greater, 36% or greater, 38% or greater, 40% or greater, 42% or greater, 44% or greater, 46% or greater, 48% or greater, 50% or greater, 52% or greater, 54% or greater, 56% or greater, 57% or greater, 58% or greater, 59% or greater, 60% or greater, 61% or greater, 62% or greater, 63% or greater, 64% or greater, and in particular, 65% or greater. In particular, in use of UV curing, adhesion, drying (UV curing), fluorescence detection of printed matter, and an application for attracting an insect, for example, a higher transmittance at a wavelength of 325 nm is preferable.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a transmittance at a thickness of 3 mm and a wavelength of 350 nm is preferably 0% or greater, 5% or greater, 10% or greater, 15% or greater, 20% or greater, 25% or greater, 30% or greater, 35% or greater, 40% or greater, 45% or greater, 50% or greater, 55% or greater, 60% or greater, 65% or greater, 70% or greater, 71% or greater, 72% or greater, 73% or greater, 74% or greater, 75% or greater, 76% or greater, 77% or greater, 78% or greater, 80% or greater, 81% or greater, 82% or greater, 83% or greater, and in particular, 84% or greater. In particular, in use of processing using a YAG laser and the like, a higher transmittance at a wavelength of 350 nm is preferable.


The Li2O—Al2O3—SiO2-based crystallized glass of the present invention preferably has a transmittance at a thickness of 3 mm and a wavelength of 380 nm of 50% or greater, 55% or greater, 60% or greater, 65% or greater, 70% or greater, 75% or greater, 78% or greater, 80% or greater, 81% or greater, 82% or greater, 83% or greater, and in particular, 84% or greater. If the transmittance at a wavelength of 380 nm is excessively low, the glass develops a strong yellow color and the transparency of the crystallized glass decreased, and as a result, the desired transmission performance may not be obtained.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a transmittance at a thickness of 3 mm and a wavelength of 800 nm is preferably 50% or greater, 55% or greater, 60% or greater, 65% or greater, 70% or greater, 75% or greater, 78% or greater, 80% or greater, 81% or greater, 82% or greater, 83% or greater, 84% or greater, 85% or greater, 86% or greater, 87% or greater, and in particular, 88% or greater. If the transmittance at a wavelength of 800 nm is excessively low, the glass is easily colored in green. In particular, in use of a medical application such as vein authentication, a higher transmittance at a wavelength of 800 nm is preferable.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a transmittance at a thickness of 3 mm and a wavelength of 1200 nm is preferably 50% or greater, 55% or greater, 60% or greater, 65% or greater, 70% or greater, 72% or greater, 74% or greater, 76% or greater, 78% or greater, 80% or greater, 81% or greater, 82% or greater, 83% or greater, 84% or greater, 85% or greater, 86% or greater, 87% or greater, 88% or greater, and in particular, 89% or greater. If the transmittance at a wavelength of 1200 nm is excessively low, the glass is easily colored in green. In particular, in use in an infrared camera or in use of an infrared communication application such as a remote control, a higher transmittance at a wavelength of 1200 nm is preferable.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a rate of transmittance change before and after crystallization at a thickness of 3 mm and at a wavelength of 300 nm is preferably 50% or less, 48% or less, 46% or less, 44% or less, 42% or less, 40% or less, 38% or less, 37.5% or less, 37% or less, 36.5% or less, 36% or less, 35.5% or less, and in particular, 35% or less. If the rate of transmittance change before and after crystallization is reduced, it is possible to predict and control, before the crystallization, the transmittance after crystallization, and it is easier to obtain the desired transmission performance after crystallization. It is preferable that the rate of transmittance change before and after crystallization is small not only at a wavelength of 300 nm but also over the entire wavelength range.


The Li2O—Al2O3—SiO2-based crystallized glass of the present invention preferably has a lightness L* at a thickness of 3 mm of 50 or greater, 60 or greater, 65 or greater, 70% or greater, 75 or greater, 80 or greater, 85 or greater, 90 or greater, 91 or greater, 92 or greater, 93 or greater, 94 or greater, 95 or greater, 96 or greater, 96.1 or greater, 96.3 or greater, and in particular, 96.5 or greater. If the lightness L* is excessively small, the glass may appear gray and darker regardless of the magnitude of chromaticity.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a chromaticity a* at a thickness of 3 mm is preferably within ±5.0, within ±4.5, within ±4, within ±3.6, within ±3.2, within ±2.8, within ±2.4, within ±2, within ±1.8, within ±1.6, within ±1.4, within ±1.2, within ±1, within ±0.9, within ±0.8, within ±0.7, within ±0.6, and in particular, within ±0.5. If the lightness a* is a negative value with an excessively large absolute value, the glass tends to be green, and if the lightness a* is a positive value with an excessively large absolute value, the glass tends to be red.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a chromaticity b* at a thickness of 3 mm is preferably within ±5.0, within ±4.5, within ±4, within ±3.6, within ±3.2, within ±2.8, within ±2.4, within ±2, within ±1.8, within ±1.6, within ±1.4, within ±1.2, within ±1, within ±0.9, within ±0.8, within ±0.7, within ±0.6, and in particular, within ±0.5. If the lightness b* is a negative value with an excessively large absolute value, the glass tends to be blue, and if the lightness b* is a positive value with an excessively large absolute value, the glass tends to be yellow.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, in a state of the glass before crystallization, a strain point (temperature corresponding to the viscosity of the glass of about 1014.5 dPa·s) is preferably 600° C. or higher, 605° C. or higher, 610° C. or higher, 615° C. or higher, 620° C. or higher, 630° C. or higher, 635° C. or higher, 640° C. or higher, 645° C. or higher, 650° C. or higher, and in particular, 655° C. or higher. If the strain point is excessively low, the pre-crystallized glass becomes easily breakable when formed.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, in a state of the glass before crystallization, an annealing point (temperature corresponding to the viscosity of the glass of about 1013 dPa·s) is preferably 680° C. or higher, 685° C. or higher, 690° C. or higher, 695° C. or higher, 700° C. or higher, 705° C. or higher, 710° C. or higher, 715° C. or higher, 720° C. or higher, and in particular, 725° C. or higher. If the annealing point is excessively low, the pre-crystallized glass becomes easily breakable when formed.


The Li2O—Al2O3—SiO2-based crystallized glass of the present invention is easily crystallized by heat treatment, and thus, unlike general glass such soda lime glass, it is not easy to measure a softening point (temperature corresponding to the viscosity of the glass of about 107.6 dPa·s). Therefore, in the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a temperature at which the slope of the thermal expansion curve of the glass before crystallization changes is used as a glass transition temperature, and is regarded as an alternative to the softening point. In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, in a glass state before crystallization, the glass transition temperature is preferably 680° C. or higher, 685° C. or higher, 690° C. or higher, 695° C. or higher, 700° C. or higher, 705° C. or higher, 710° C. or higher, 715° C. or higher, 720° C. or higher, and in particular, 725° C. or higher. An excessively low glass transition temperature results in excessively high fluidity of the glass during crystallization, which makes it difficult to form the glass into a desired shape.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a liquidus temperature is preferably 1540° C. or less, 1535° C. or less, 1530° C. or less, 1525° C. or less, 1520° C. or less, 1515° C. or less, 1510° C. or less, 1505° C. or less, 1500° C. or less, 1495° C. or less, 1490° C. or less, 1485° C. or less, 1480° C. or less, 1475° C. or less, 1470° C. or less, 1465° C. or less, 1460° C. or less, 1455° C. or less, 1450° C. or less, 1445° C. or less, 1440° C. or less, 1435° C. or less, 1430° C. or less, 1425° C. or less, 1420° C. or less, 1415° C. or less, and in particular, 1410° C. or less. If the liquidus temperature is excessively high, the glass is easily subject to devitrification during production. On the other hand, if the liquidus temperature is 1480° C. or less, it is easy to manufacture the glass by a roll method and the like, if the liquidus temperature is 1450° C. or less, it is easy to manufacture the glass by a casting method, and the like, and If the liquidus temperature is 1410° C. or less, it is easy to manufacture the glass by a fusion method and the like.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a liquidus viscosity (logarithm of the viscosity corresponding to the liquidus temperature) is preferably 2.70 or greater, 2.75 or greater, 2.80 or greater, 2.85 or greater, 2.90 or greater, 2.95 or greater, 3.00 or greater, 3.05 or greater, 3.10 or greater, 3.15 or greater, 3.20 or greater, 3.25 or greater, 3.30 or greater, 3.35 or greater, 3.40 or greater, 3.45 or greater, 3.50 or greater, 3.55 or greater, 3.60 or greater, 3.65 or greater, and in particular, 3.70 or greater. If the liquidus viscosity is excessively low, the glass is easily subject to devitrification during production. On the other hand, if the liquidus viscosity is 3.40 or greater, it is easy to manufacture the glass by a roll method and the like, if the liquidus viscosity is 3.50 or greater, it is easy to manufacture the glass by a casting method, and the like, and if the liquidus viscosity is 3.70 or greater, it is easy to manufacture the glass by a fusion method and the like.


In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, a β-quartz solid solution preferably precipitates as a main crystal. If the β-quartz solid solution precipitates as the main crystal, the crystal grain easily decreases in size, and thus, crystallized glass easily transmits visible light, and transparency easily increases. It is also possible to easily bring the thermal expansion coefficient of the glass close to zero. Note that if the Li2O—Al2O3—SiO2-based crystallized glass of the present invention is subjected to heat treatment at a temperature higher than the crystallization conditions for precipitating the β-quartz solid solution, a β-spodumene solid solution precipitates. The crystal grain size of β-spodumene solid solution tends to be larger than that of β-quartz solid solution, and thus, generally, precipitation of β-spodumene solid solution tends to result in a cloudy appearance of the crystallized glass. However, when the glass composition and firing conditions are suitably adjusted, a refractive index difference between the crystalline phase containing β-spodumene solid solution and the residual glass phase may be small, and in such a case, the crystallized glass is less cloudy. In the Li2O—Al2O3—SiO2-based crystallized glass of the present invention, crystals such as β-spodumene solid solution may be contained as long as there is no adverse effect on coloration and the like.


The Li2O—Al2O3—SiO2-based crystallized glass of the present invention preferably has a thermal expansion coefficient at from 30 to 380° C. of 30×10−7/° C. or less, 25×10−7/° C. or less, 20×10−7/° C. or less, 18×10−7/° C. or less, 16×10−7/° C. or less, 14×10−7/° C. or less, 13×10−7/° C. or less, 12×10−7/° C. or less, 11×10−7/° C. or less, 10×10−7/° C. or less, 9×10−7/° C. or less, 8×10−7/° C. or less, 7×10−7/° C. or less, 6×10−7/° C. or less, 5×10−7/° C. or less, 4×10−7/° C. or less, 3×10−7/° C. or less, and in particular, 2×10−7/° C. or less. Note that if dimensional stability and/or thermal shock resistance are particularly desired, the thermal expansion coefficient is preferably from −5×10−7/° C. to 5×10−7/° C., from −3×10−7/° C. to 3×10−7/° C., from −2.5×10−7/° C. to 2.5×10−7/° C., from −2×10−7/° C. to 2×10−7/° C., from −1.5×10−7/° C. to 1.5×10−7/° C., from −1×10−7/° C. to 1×10−7/° C., and in particular, from −0.5×10−7/° C. to 0.5×10−7/° C.


The Li2O—Al2O3—SiO2-based crystallized glass of the present invention preferably has a thermal expansion coefficient at from 30 to 750° C. of 30×10−7/° C. or less, 25×10−7/° C. or less, 20×10−7/° C. or less, 18×10−7/° C. or less, 16×10−7/° C. or less, 14×10−7/° C. or less, 13×10−7/° C. or less, 12×10−7/° C. or less, 11×10−7/° C. or less, 10×10−7/° C. or less, 9×10−7/° C. or less, 8×10−7/° C. or less, 7×10−7/° C. or less, 6×10−7/° C. or less, 5×10−7/° C. or less, 4×10−7/° C. or less, and in particular, 3×10−7/° C. or less. Note that if dimensional stability and/or thermal shock resistance are particularly desired, the thermal expansion coefficient is preferably from −15×10−7/° C. to 15×10−7/° C., from −12×10−7/° C. to 12×10−7/° C., from −10×10−7/° C. to 10×10−7/° C., from −8×10−7/° C. to 8×10−7/° C., from −6×10−7/° C. to 6×10−7/° C., from −5×10−7/° C. to 5×10−7/° C., from −4.5×10−7/° C. to 4.5×10−7/° C., from −4×10−7/° C. to 4×10−7/° C., from −3.5×10−7/° C. to 3.5×10−7/° C., from −3×10−7/° C. to 3×10−7/° C., from −2.5×10−7/° C. to 2.5×10−7/° C., from −2×10−7/° C. to 2×10−7/° C., from −1.5×10−7/° C. to 1.5×10−7/° C., from −1×10−7/° C. to 1×10−7/° C., and in particular, from −0.5×10−7/° C. to 0.5×10−7/° C.


The Li2O—Al2O3—SiO2-based crystallized glass of the present invention preferably has a Young's modulus from 60 to 120 GPa, from 70 to 110 GPa, from 75 to 110 GPa, from 75 to 105 GPa, from 80 to 105 GPa, and in particular, from 80 to 100 GPa. When the Young's modulus is either excessively low or excessively high, the crystallized glass becomes easily breakable.


The Li2O—Al2O3—SiO2-based crystallized glass of the present invention preferably has a modulus of rigidity from 25 to 50 GPa, from 27 to 48 GPa, from 29 to 46 GPa, and in particular, from 30 to 45 GPa. When the modulus of rigidity is either excessively low or excessively high, the crystallized glass becomes easily breakable.


The Li2O—Al2O3—SiO2-based crystallized glass of the present invention preferably has a Poisson's ratio of 0.35 or less, 0.32 or less, 0.3 or less, 0.28 or less, 0.26 or less, and in particular, 0.25 or less. If the Poisson's ratio is excessively large, the crystallized glass becomes easily breakable.


The crystallizable glass before crystallization of the Li2O—Al2O3—SiO2-based crystallized glass of the present invention preferably has a density from 2.30 to 2.60 g/cm3, from 2.32 to 2.58 g/cm3, from 2.34 to 2.56 g/cm3, from 2.36 to 2.54 g/cm3, from 2.38 to 2.52 g/cm3, from 2.39 to 2.51 g/cm3, and in particular, from 2.40 to 2.50 g/cm3. If the density of the crystallizable glass is excessively small, the gas permeability before crystallization deteriorates, and the glass may be contaminated during storage. On the other hand, if the density of the crystallizable glass is excessively large, the weight per unit area increases, and this makes it difficult to handle such glass.


The Li2O—Al2O3—SiO2-based crystallized glass (after crystallization) of the present invention preferably has a density from 2.40 to 2.80 g/cm3, from 2.42 to 2.78 g/cm3, from 2.44 to 2.76 g/cm3, from 2.46 to 2.74 g/cm3, and in particular, from 2.47 to 2.73 g/cm3. If the density of crystallized glass is excessively small, the gas permeability of the crystallized glass may deteriorate. On the other hand, if the density of the crystallized glass is excessively large, the weight per unit area increases, which makes it difficult to handle the crystallized glass. The density of crystallized glass (after crystallization) is an index for determining whether the glass is sufficiently crystallized. Specifically, if the same glasses are compared, a higher density (larger difference in density between raw glass and the crystallized glass) indicates that crystallization is further advanced.


A rate of density change of the Li2O—Al2O3—SiO2-based crystallized glass of the present invention is defined by {(density after crystallization (g/cm3)−density before crystallization (g/cm3))/density before crystallization (g/cm3)}×100 (%), where the density before crystallization is a density obtained after holding a melted glass at 700° C. for 30 minutes and cooling the glass to room temperature at 3° C./min, and the density after crystallization is a density obtained after crystallization treatment under a predetermined condition. The rate of density change is preferably from 0.01 to 10%, from 0.05 to 8%, from 0.1 to 8%, from 0.3 to 8%, from 0.5 to 8%, from 0.9 to 8%, from 1 to 7.8%, from 1 to 7.4%, from 1 to 7%, from 1.2 to 7%, from 1.6 to 7%, from 2 to 7%, from 2 to 6.8%, from 2 to 6.5%, from 2 to 6.3%, from 2 to 6.2%, from 2 to 6.1%, from 2 to 6%, from 2.5 to 5%, from 2.6 to 4.5%, and from 2.8 to 3.8%. If the rate of density change before and after crystallization is reduced, it is possible to reduce a breakage rate after crystallization, and it is possible to reduce scattering of glass and a glass matrix, and as a result it is possible to obtain crystallized glass with high transmittance. In particular, in a region where the content of TiO2 is less than 0.5% (in particular, 0.05% or less), in order to reduce a coloration factor other than absorption of TiO2 and the like, it is possible to significantly reduce scattering and possible to contribute to improving the transmittance.


The Li2O—Al2O3—SiO2-based crystallized glass of the present invention may be subject to chemical strengthening and the like. As a treatment condition of the chemical strengthening treatment, an appropriate treatment time and an appropriate treatment temperature may be chosen in consideration of the glass composition, the crystallinity, the type of the molten salt, and the like. For example, in order to facilitate chemical strengthening after crystallization, a glass composition containing a large amount of Na2O that may be contained in the residual glass may be selected, and the crystallinity may be intentionally lowered. A molten salt may include an alkali metal such as Li, Na, K alone or in combination thereof. In addition, instead of normal one-step strengthening, multistep chemical strengthening may be selected. Besides, if the Li2O—Al2O3—SiO2-based crystallized glass of the present invention is subject to chemical strengthening and the like before crystallization, it is possible to reduce the content of Li2O on a surface of a sample compared to the content of LiO2 inside the sample. When such glass is crystallized, the crystallinity of the surface of the sample is lower than that inside the sample and the thermal expansion coefficient of the surface of the sample is relatively high, it is possible to introduce compressive stress resulting from a difference in thermal expansion into the surface of the sample. If the crystallinity of the surface of the sample is low, the glass phase increases at the surface, and depending on the selection of glass composition, it is possible to improve chemical resistance and gas barrier properties.


Next, a method of manufacturing the Li2O—Al2O3—SiO2-based crystallized glass of the present invention will be described.


Firstly, a raw material batch prepared to be glass having the composition described above is charged into a glass melting furnace, melted at from 1500 to 1750° C., and then, formed. Note that a flame melting method using a burner and the like, an electric melting method by electric heating, and the like may be used during the glass melting. In addition, melting by laser irradiation and melting by plasma may also be used. The sample may take any shape such as a plate-like shape, a fiber-like shape, a film-like shape, a powder-like shape, a spherical shape, and hollow shape, and not particularly limited.


Next, the obtained crystallizable glass (glass that can be crystallized but not yet crystallized) is heat-treated to crystallize. As the crystallization condition, firstly, nucleation is performed at from 700 to 950° C. (preferably from 750 to 900° C.) for 0.1 to 100 hours (preferably from 1 to 60 hours), and subsequently, crystal growth is performed at from 800 to 1050° C. (preferably from 800 to 1000° C.) for 0.1 to 50 hours (preferably from 0.2 to 10 hours). As a result, it is possible to obtain a transparent Li2O—Al2O3—SiO2-based crystallized glass in which β-quartz solid solution crystals were precipitated as main crystals. Note that heat treatment may be performed only at a certain temperature, stepwise heat treatment including holding the glass at two or more temperature levels may be performed, and heating may be performed while providing a temperature gradient.


A sound wave or electromagnetic wave may be applied to promote the crystallization. Further, the crystallized glass at a high-temperature may be cooled at a rate according to a certain temperature gradient, or may be cooled according to a temperature gradient of two or more levels. If it is preferable to obtain sufficient thermal shock resistance, it is desired to sufficiently relax the structure of the residual glass phase by controlling the cooling rate. In an inner portion of the crystallized glass in the thickness direction, which is farthest from the surface, an average cooling rate from 800° C. to 25° C. is preferably 3000° C./min, 1000° C./min or less, 500° C./min or less, 400° C./min or less, 300° C./min or less, 200° C./min or less, 100° C./min or less, 50° C./min or less, 25° C./min or less, 10° C./min or less, and in particular, 5° C./min or less. If it is desired to obtain a long-term dimensional stability, the average cooling rate is further preferably 2.5° C./min or less, 1° C./min or less, 0.5° C./min or less, 0.1° C./min or less, 0.05° C./min or less, 0.01° C./min or less, 0.005° C./min or less, 0.001° C./min or less, 0.0005° C./min or less, and in particular, 0.0001° C./min or less. Except for a case of physical strengthening treatment by air cooling, water cooling, and the like, as to the cooling rate of the crystallized glass, it is desirable to minimize a difference between the cooling rate at the surface of the glass and the cooling rate in the inner portion in the thickness direction, which is furthest from the surface of the glass. A value obtained by dividing the cooling rate in the inner portion in the thickness direction, which is furthest from the surface, by the cooling rate at the surface is preferably from 0.0001 to 1, from 0.001 to 1, from 0.01 to 1, from 0.1 to 1, from 0.5 to 1, from 0.8 to 1, from 0.9 to 1, and in particular, 1. When the value is close to 1, in all positions of the crystallized glass sample, residual strain is difficult to occur, and it is easy to obtain a long-term dimensional stability. Note that it is possible to estimate the cooling rate at the surface by using a contact temperature measurement or a radiation thermometer. The internal temperature can be estimated by placing the crystallized glass at a high temperature in a cooling medium, measuring a heat quantity and a heat quantity change rate of the cooling medium, estimating the internal temperature based on numerical data obtained in the measurement, specific heat and thermal conductivity of the crystallized glass and the cooling medium, and the like.


EXAMPLE 1

The present invention will now be described based on Examples below, but the present invention is not limited to Examples. Tables 1 to 42 list Examples (Sample Nos. 1 to 131) of the present invention.















TABLE 1







No. 1
No. 2
No. 3
No. 4
No. 5





















Composition
SiO2
65.9
64.7
65.6
65.6
65.1


[wt %]
Al2O3
22.3
21.9
22.2
22.2
22.0



B2O3
0.00
0.00
0.00
0.00
0.01



P2O5
1.40
1.38
1.38
1.38
1.38



Li2O
3.71
3.64
3.70
3.70
4.10



Na2O
0.40
0.39
0.39
0.39
0.39



K2O
0.30
0.30
0.30
0.30
0.30



MgO
0.70
0.69
0.20
0.20
0.40



CaO
0.00
0.00
0.00
0.00
0.00



SrO
0.00
0.00
0.00
0.00
0.00



BaO
1.20
1.18
1.18
1.18
1.18



ZnO
0.00
0.00
0.00
0.00
0.00



TiO2
0.0023
0.0044
0.0009
0.0015
0.0030



SnO2
0.69
1.81
1.40
1.40
1.40



ZrO2
3.39
4.06
3.70
3.70
3.70



Fe2O3
0.0153
0.0149
0.0154
0.0152
0.0151



Y2O3
0.00
0.00
0.00
0.00
0.00



MoO3
0.0000
0.0000
0.0000
0.0000
0.0000



Sb2O3
0.00
0.00
0.00
0.00
0.00



As2O3
0.00
0.00
0.00
0.00
0.00


Composition
Pt
0.03
0.03
0.03
0.03
0.03


[ppm]
Rh
0.02
0.02
0.02
0.02
0.02



Pt + Rh
0.05
0.05
0.05
0.05
0.05












Sn/(P + B + Zr + Ti + Sn)
0.126
0.249
0.216
0.216
0.216


Al/(Zr + Sn)
5.46
3.72
4.35
4.35
4.31


(Mg + Zn)/Li
0.189
0.189
0.054
0.054
0.098


Sn/(Zr + Sn)
0.17
0.31
0.27
0.27
0.27


(Si + Al)/Li
23.76
23.76
23.73
23.73
21.24


(Si + Al)/Sn
127.74
47.90
62.71
62.71
62.21


(Li + Na + K)/Zr
1.30
1.07
1.19
1.19
1.29


Ti/Zr
0.0007
0.0011
0.0002
0.0004
0.0008


Ti/(Ti + Fe)
0.131
0.228
0.055
0.090
0.166


Na + K + Ca + Sr + Ba
1.91
1.87
1.87
1.87
1.87


(Mg + Ca + Sr + Ba)/Zr
0.56
0.46
0.37
0.37
0.43


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.43
0.43
0.31
0.31
0.33


Al/(Li + (1/2 * (Mg + Zn))
6.35
6.34
6.10
6.10
5.57


Sb + As
0.00
0.00
0.00
0.00
0.00







Before crystallization













Transmittance[%]
200 nm
Not measured
44.9
54.1
54.1
53.9


3 mm thickness
250 nm
Not measured
17.0
19.5
19.5
19.8



300 nm
Not measured
24.1
29.9
29.9
32.3



325 nm
Not measured
65.6
69.6
69.6
70.9



350 nm
Not measured
84.4
86.1
86.1
86.2



380 nm
Not measured
89.5
90.3
90.3
90.2



800 nm
Not measured
91.5
91.8
91.8
91.7



1200 nm
Not measured
91.7
91.9
91.9
91.7












L*
Not measured
96.6
96.7
96.7
96.6


a*
Not measured
−0.1
−0.1
−0.1
−0.1


b*
Not measured
0.2
0.2
0.2
0.2













Low temperature
Strain point[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured


viscosity
Annealing point[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured



Glass transition point
Not measured
Not measured
Not measured
Not measured
Not measured



[° C.]







High temperature
10{circumflex over ( )}4[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured


viscosity
10{circumflex over ( )}3[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured



10{circumflex over ( )}2.5[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured



10{circumflex over ( )}2[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured












Liquidus temperature[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured


Liquidus viscosity[—]
Not measured
Not measured
Not measured
Not measured
Not measured













α[×10−7/° C.]
30-380° C.
Not measured
39.6
Not measured
Not measured
Not measured












Density[g/cm3]
Not measured
Not measured
Not measured
Not measured
Not measured


β-OH[/mm]
0.12
0.12
0.12
0.12
0.12






















TABLE 2







No. 1
No. 2
No. 3
No. 4
No. 5















After crystallization












Crystallization condition
810° C.-60 h
810° C.-60 h
810° C.-10 h
810° C.-20 h
810° C.-20 h















920° C.-3 h 
920° C.-3 h 
920° C.-3 h 
920° C.-3 h 
920° C.-3 h 


Transmittance[%]
200 nm
26.0
27.0
29.9
35.0
27.0


3 mm thickness
250 nm
26.0
14.0
17.3
20.0
14.0



300 nm
36.5
15.9
20.8
22.8
17.1



325 nm
55.1
53.5
62.0
63.7
58.3



350 nm
55.1
77.6
80.6
81.7
78.3



380 nm
69.7
84.4
85.7
86.4
84.2



800 nm
89.0
91.1
91.3
91.4
91.1



1200 nm
90.9
91.1
91.6
91.4
91.2












L*
94.4
95.8
95.8
96.1
95.8


a*
−0.1
−0.1
−0.1
0.0
−0.1


b*
3.4
1.3
1.4
1.0
1.3


Precipitated crystal
β-Q
β-Q
β-Q
β-Q
β-Q


Average crystallite size[nm]
Not measured
Not measured
Not measured
45
Not measured













α[×10−7/° C.]
30-380° C.
−0.9
−0.4
Not measured
Not measured
Not measured


α[×10−7/° C.]
30-750° C.
0.9
0.9
Not measured
Not measured
Not measured












Density[g/cm3]
Not measured
Not measured
Not measured
Not measured
Not measured


Young's Modulus [GPa]
92
93
Not measured
Not measured
Not measured


Modulus of rigidity [GPa]
37
38
Not measured
Not measured
Not measured


Poisson's ratio
0.23
0.22
Not measured
Not measured
Not measured


Appearance
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and



transparent
transparent
transparent
transparent
transparent







Rate of change before and after crystallization[%]












200 nm
Not measured
39.8
44.7
35.4
49.9


250 nm
Not measured
17.6
11.3
−3.0
29.4


300 nm
Not measured
34.2
30.3
23.7
47.1


325 nm
Not measured
18.6
11.0
8.4
17.8


350 nm
Not measured
8.0
6.3
5.1
9.2


380 nm
Not measured
5.8
5.0
4.2
6.6


800 nm
Not measured
0.4
0.5
0.4
0.6


1200 nm
Not measured
0.4
0.5
0.4
0.6
























TABLE 3







No. 6
No. 7
No. 8
No. 9
No. 10
No. 11
No. 12























Composition
SiO2
66.0
66.1
66.2
66.7
63.5
66.6
66.8


[wt %]
Al2O3
22.4
22.4
22.4
22.2
23.5
22.3
21.8



B2O3
0.00
0.00
0.00
0.82
0.00
0.00
0.00



P2O5
1.42
1.42
1.39
0.00
2.51
1.40
1.37



Li2O
3.73
3.73
3.74
2.20
2.92
3.74
3.54



Na2O
0.08
0.36
0.38
0.01
0.80
0.00
0.39



K2O
0.30
0.00
0.00
0.01
0.05
0.00
0.00



MgO
0.69
0.69
0.69
0.00
1.14
0.69
0.77



CaO
0.01
0.01
0.00
0.02
0.01
0.01
0.01



SrO
0.00
0.00
0.01
0.34
0.00
0.00
0.00



BaO
0.00
0.00
0.00
0.48
0.12
0.01
0.00



ZnO
0.00
0.00
0.00
1.66
0.00
0.01
0.00



TiO2
0.0065
0.0042
0.0031
0.0000
0.1990
0.0055
0.0049



SnO2
1.42
1.43
1.34
1.63
1.75
1.40
1.27



ZrO2
3.85
3.83
3.84
3.90
3.72
3.81
2.96



Fe2O3
0.0068
0.0087
0.0099
0.0284
0.0081
0.0084
0.0075



Y2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



MoO3
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000



Sb2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



As2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00


Composition
Pt
1.5
1.5
1.5
Not measured
1.5
1.5
1.5


[ppm]
Rh
0.02
0.02
0.02
Not measured
0.02
0.02
0.02



Pt + Rh
1.52
1.52
1.52
Not measured
1.52
1.52
1.52














Sn/(P + B + Zr + Ti + Sn)
0.212
0.214
0.204
0.257
0.214
0.212
0.227


Al/(Zr + Sn)
4.25
4.26
4.32
4.01
4.30
4.28
5.15


(Mg + Zn)/Li
0.185
0.185
0.184
0.755
0.390
0.187
0.218


Sn/(Zr + Sn)
0.27
0.27
0.26
0.29
0.32
0.27
0.30


(Si + Al)/Li
23.70
23.73
23.69
40.41
29.79
23.77
25.03


(Si + Al)/Sn
62.25
61.89
66.12
54.54
49.71
63.50
69.76


(Li + Na + K)/Zr
1.07
1.07
1.07
0.57
1.01
0.98
1.33


Ti/Zr
0.0017
0.0011
0.0008
0.0000
0.0535
0.0014
0.0017


Ti/(Ti + Fe)
0.489
0.326
0.238
0.000
0.961
0.396
0.395


Na + K + Ca + Sr + Ba
0.39
0.37
0.39
0.86
0.98
0.02
0.40


(Mg + Ca + Sr + Ba)/Zr
0.18
0.18
0.18
0.21
0.34
0.19
0.26


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.17
0.17
0.17
0.38
0.34
0.19
0.20


Al/(Li + (1/2 * (Mg + Zn))
6.35
6.35
6.33
10.92
8.62
6.31
6.54


Sb + As
0.00
0.00
0.00
0.00
0.00
0.00
0.00







Before crystallization















Transmittance[%]
200 nm
65.9
67.4
65.7
Not measured
Not measured
77.2
80.7


3 mm thickness
250 nm
21.2
21.3
21.3
Not measured
Not measured
22.3
22.8



300 nm
30.4
30.1
30.3
Not measured
Not measured
29.1
32.0



325 nm
69.0
68.8
69.0
Not measured
Not measured
67.8
69.2



350 nm
85.4
85.2
85.3
Not measured
Not measured
85.0
85.2



380 nm
89.8
89.7
89.8
Not measured
Not measured
89.7
89.8



800 nm
91.6
91.6
91.6
Not measured
Not measured
91.6
91.6



1200 nm
91.6
91.6
91.6
Not measured
Not measured
91.5
91.6














L*
96.6
96.6
96.6
Not measured
Not measured
96.6
96.7


a*
−0.1
−0.1
−0.1
Not measured
Not measured
−0.1
−0.1


b*
0.3
0.3
0.3
Not measured
Not measured
0.3
0.4















Low temperature
Strain point[° C.]
687
683
684
Not measured
Not measured
Not measured
Not measured


viscosity
Annealing point[° C.]
745
741
742
Not measured
Not measured
Not measured
Not measured



Glass transition point
728
730
728
Not measured
Not measured
745
740



[° C.]









High temperature
10{circumflex over ( )}4[° C.]
1353
1351
1352
Not measured
Not measured
1358
1368


viscosity
10{circumflex over ( )}3[° C.]
1530
1528
1531
Not measured
Not measured
1537
1549



10{circumflex over ( )}2.5[° C.]
1643
1641
1644
Not measured
Not measured
1650
1662



10{circumflex over ( )}2[° C.]
1780
1777
1780
Not measured
Not measured
1786
1795














Liquidus temperature[° C.]
1489
1486
1489
Not measured
Not measured
Not measured
Not measured


Liquidus viscosity[—]
3.20
3.21
3.21
Not measured
Not measured
Not measured
Not measured















α[×10−7/° C.]
30-380° C.
38.2
38.7
38.6
Not measured
Not measured
36.4
37.5














Density[g/cm3]
2.442
2.442
2.441
Not measured
Not measured
2.441
2.444


β-OH[/mm]
0.15
0.15
0.15
0.15
0.15
0.15
0.15
























TABLE 4







No. 6
No. 7
No. 8
No. 9
No. 10
No. 11
No. 12















After crystallization














Crystallization condition
840° C.-3 h
840° C.-3 h
840° C.-3 h
810° C.-30h
825° C.-30h
840° C.-3 h
810° C.-3 h

















890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-3 h 
905° C.-3 h 
890° C.-1 h
920° C.-1 h


Transmittance[%]
200 nm
26.8
25.4
22.7
Not measured
Not measured
26.5
35.3


3 mm thickness
250 nm
12.1
11.5
11.7
Not measured
Not measured
12.1
16.1



300 nm
26.8
25.4
22.7
Not measured
Not measured
26.5
35.3



325 nm
56.4
54.1
55.7
Not measured
Not measured
52.7
59.2



350 nm
77.2
75.5
76.7
Not measured
Not measured
75.3
74.4



380 nm
83.2
81.8
82.9
Not measured
Not measured
82.1
79.6



800 nm
90.7
90.5
90.6
Not measured
Not measured
90.5
89.9



1200 nm
90.8
90.7
90.9
Not measured
Not measured
90.6
90.7














L*
95.5
95.2
95.4
Not measured
Not measured
95.3
94.7


a*
0.1
0.1
0.1
Not measured
Not measured
0.1
0.1


b*
1.6
1.9
1.7
Not measured
Not measured
1.7
2.3


Precipitated crystal
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q


Average crystallite size[nm]
Not measured
Not measured
45
Not measured
Not measured
Not measured
Not measured















α[×10−7/° C.]
30-380° C.
−5.2
−5.1
−5.0
Not measured
Not measured
−4.0
−2.5


α[×10−7/° C.]
30-750° C.
−3.7
−3.6
−3.6
Not measured
Not measured
−3.7
−1.7














Density[g/cm3]
2.531
2.534
2.534
Not measured
Not measured
2.542
2.535


Young's Modulus [GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Modulus of rigidity [GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Poisson's ratio
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Appearance
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and



transparent
transparent
transparent
transparent
transparent
transparent
transparent







Rate of change before and after crystallization[%]














200 nm
59.3
62.3
65.5
Not measured
Not measured
65.7
56.2


250 nm
43.0
46.1
44.8
Not measured
Not measured
45.5
29.4


300 nm
11.7
15.7
25.1
Not measured
Not measured
8.9
−10.5


325 nm
18.3
21.3
19.3
Not measured
Not measured
22.3
14.4


350 nm
9.6
11.4
10.0
Not measured
Not measured
11.3
12.6


380 nm
7.3
8.8
7.7
Not measured
Not measured
8.5
11.4


800 nm
1.0
1.2
1.1
Not measured
Not measured
1.2
1.9


1200 nm
0.9
1.0
0.7
Not measured
Not measured
0.9
1.0
























TABLE 5







No. 13
No. 14
No. 15
No. 16
No. 17
No. 18
No. 19























Composition
SiO2
65.7
65.9
67.2
65.5
65.5
66.0
65.8


[wt %]
Al2O3
21.7
22.2
21.6
22.0
22.0
22.3
22.1



B2O3
0.001
0.00
0.00
0.00
0.00
0.00
0.00



P2O5
1.37
1.40
1.41
1.39
1.42
1.42
1.38



Li2O
3.63
4.02
3.30
3.67
3.67
3.70
3.70



Na2O
0.87
0.37
0.37
0.01
0.37
0.39
0.09



K2O
0.10
0.00
0.00
0.30
0.00
0.30
0.001



MgO
0.68
1.52
1.23
0.65
0.68
0.68
0.68



CaO
0.00
0.35
0.00
0.01
0.01
0.01
0.01



SrO
0.01
0.001
0.00
0.00
0.00
0.00
0.00



BaO
1.18
0.00
0.30
1.18
1.18
0.001
1.17



ZnO
0.00
0.01
0.01
0.001
0.00
0.00
0.00



TiO2
0.0175
0.0080
0.1560
0.0782
0.0095
0.0014
0.0147



SnO2
1.17
0.45
1.18
1.39
1.39
1.41
1.31



ZrO2
2.93
3.90
1.89
3.75
3.73
3.80
3.77



Fe2O3
0.0045
0.0033
0.0021
0.0005
0.0072
0.0085
0.0093



Y2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



MoO3
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000



Sb2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



As2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00


Composition
Pt
1.4
0.2
1.4
1.5
1.5
1.5
1.5


[ppm]
Rh
0.03
0.03
0.03
0.02
0.02
0.02
0.02



Pt + Rh
1.43
0.23
1.43
1.52
1.52
1.52
1.52














Sn/(P + B + Zr + Ti + Sn)
0.213
0.078
0.255
0.210
0.212
0.213
0.202


Al/(Zr + Sn)
5.29
5.10
7.04
4.28
4.30
4.28
4.35


(Mg + Zn)/Li
0.187
0.381
0.377
0.177
0.185
0.184
0.184


Sn/(Zr + Sn)
0.29
0.10
0.38
0.27
0.27
0.27
0.26


(Si + Al)/Li
24.08
21.92
26.91
23.84
23.84
23.86
23.76


(Si + Al)/Sn
74.70
195.78
75.25
62.95
62.95
62.62
67.10


(Li + Na + K)/Zr
1.57
1.13
1.94
1.06
1.08
1.16
1.01


Ti/Zr
0.0060
0.0021
0.0825
0.0209
0.0025
0.0004
0.0039


Ti/(Ti + Fe)
0.795
0.708
0.987
0.994
0.569
0.141
0.613


Na + K + Ca + Sr + Ba
2.16
0.72
0.67
1.50
1.56
0.70
1.27


(Mg + Ca + Sr + Ba)/Zr
0.64
0.48
0.81
0.49
0.50
0.18
0.49


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.41
0.43
0.42
0.46
0.46
0.16
0.49


Al/(Li + (1/2 * (Mg + Zn))
6.32
6.29
7.17
6.32
6.33
6.37
6.31


Sb + As
0.00
0.00
0.00
0.00
0.00
0.00
0.00







Before crystallization















Transmittance
200 nm
79.6
Not measured
Not measured
62.3
61.1
62.8
69.0


[%] 3 mm
250 nm
22.9
Not measured
Not measured
20.7
20.6
20.9
21.7


thickness
300 nm
33.5
Not measured
Not measured
30.7
30.0
30.3
30.4



325 nm
71.2
Not measured
Not measured
68.9
68.7
69.2
67.9



350 nm
86.1
Not measured
Not measured
85.0
85.1
85.4
84.5



380 nm
90.2
Not measured
Not measured
89.5
89.6
89.8
89.3



800 nm
91.7
Not measured
Not measured
91.6
91.5
91.5
91.5



1200 nm
91.7
Not measured
Not measured
91.6
91.5
91.6
91.6














L*
96.7
Not measured
Not measured
96.6
96.6
96.6
96.5


a*
−0.1
Not measured
Not measured
−0.1
−0.1
−0.1
−0.1


b*
0.3
Not measured
Not measured
0.4
0.4
0.3
0.4















Low temperature
Strain point[° C.]
Not measured
Not measured
|Not measured
679
682
682
687


viscosity
Annealing point
Not measured
Not measured
Not measured
738
741
740
745



[° C.]










Glass transition
Not measured
Not measured
Not measured
727
728
726
730



point[° C.]









High temperature
10{circumflex over ( )}4[° C.]
Not measured
Not measured
Not measured
1350
1348
1351
1350


viscosity
10{circumflex over ( )}3[° C.]
Not measured
Not measured
Not measured
1528
1525
1531
1527



10{circumflex over ( )}2.5[° C.]
Not measured
Not measured
Not measured
1639
1636
1642
1640



10{circumflex over ( )}2[° C.]
Not measured
Not measured
Not measured
1772
1769
1773
1774














Liquidus temperature[° C.]
Not measured
Not measured
1378
1492
1488
1491
1479


Liquidus viscosity[—]
Not measured
Not measured
Not measured
3.18
3.19
3.20
3.24















α[×10−7/° C.]
30-380° C.
Not measured
Not measured
Not measured
39.2
39.7
39.4
38.4














Density[g/cm3]
2.443
Not measured
Not measured
2.462
2.461
2.440
2.461


β-OH[/mm]
0.13
0.13
0.13
0.13
0.13
0.13
0.13
























TABLE 6







No. 13
No. 14
No. 15
No. 16
No. 17
No. 18
No. 19















After crystallization














Crystallization condition
780° C.-3 h
780° C.-3 h
780° C.-12h
855° C.-3 h
840° C.-3 h
855° C.-3 h
840° C.-3 h



905° C.-1 h
890° C.-1 h
890° C.-1 h 
920° C.-1 h
890° C.-1 h
920° C.-1 h
890° C.-1 h















Transmittance[%]
200 nm
37.2
Not measured
Not measured
28.9
23.5
30.0
26.1


3 mm thickness
250 nm
19.0
Not measured
Not measured
15.2
13.8
15.3
13.9



300 nm
37.2
Not measured
Not measured
28.9
23.5
30.0
26.1



325 nm
64.4
Not measured
Not measured
59.8
58.1
49.8
53.3



350 nm
80.2
Not measured
Not measured
77.0
76.8
67.1
74.3



380 nm
85.1
Not measured
Not measured
82.3
82.5
74.3
80.8



800 nm
90.9
Not measured
Not measured
90.4
90.5
90.2
90.2



1200 nm
91.2
Not measured
Not measured
90.6
90.9
90.8
90.6














L*
95.8
Not measured
Not measured
95.3
95.3
95.3
95.4


a*
0.0
Not measured
Not measured
0.1
0.1
0.1
0.0


b*
1.2
Not measured
Not measured
1.8
1.8
1.8
1.9


Precipitated crystal
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q


Average crystallite size[nm]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured















α[×10−7/° C.]
30-380° C.
−3.0
−1.3
−0.8
−3.4
−3.5
−3.7
−5.0


α[×10−7/° C.]
30-750° C.
−2.7
−0.8
−0.5
−1.8
−1.9
−2.0
−3.5














Density[g/cm3]
2.530
Not measured
2.521
2.544
2.544
2.521
2.551


Young's Modulus [GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Modulus of rigidity [GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Poisson's ratio
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Appearance
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and

















transparent
transparent
transparent
transparent
transparent
transparent
transparent







Rate of change before and after crystallization[%]














200 nm
53.2
Not measured
Not measured
53.7
61.5
52.2
62.2


250 nm
16.8
Not measured
Not measured
26.7
33.3
26.4
36.0


300 nm
−11.2
Not measured
Not measured
6.1
21.5
0.8
14.3


325 nm
9.5
Not measured
Not measured
13.3
15.4
28.0
21.5


350 nm
6.9
Not measured
Not measured
9.5
9.7
21.4
12.0


380 nm
5.6
Not measured
Not measured
8.1
8.0
17.3
9.5


800 nm
0.8
Not measured
Not measured
1.3
1.1
1.5
1.3


1200 nm
0.6
Not measured
Not measured
1.1
0.7
0.8
1.0
























TABLE 7







No. 20
No. 21
No. 22
No. 23
No. 24
No. 25
No. 26























Composition
SiO2
66.6
65.0
66.1
67.1
68.0
65.7
67.0


[wt %]
Al2O3
21.9
22.0
21.7
22.2
22.6
21.9
22.1



B2O3
0.00
0.00
0.00
0.00
0.00
0.60
0.00



P2O5
1.39
1.38
1.36
1.41
0.00
2.55
1.40



Li2O
3.66
3.67
3.63
3.69
3.74
3.64
3.62



Na2O
0.40
0.40
0.41
0.07
0.09
0.07
0.37



K2O
0.00
0.30
0.02
0.00
0.00
0.00
0.00



MgO
0.68
0.69
0.68
1.23
0.40
1.23
1.23



CaO
0.01
0.00
0.03
0.01
0.02
0.01
0.00



SrO
0.00
0.00
0.43
0.00
0.00
0.00
0.01



BaO
1.17
1.19
1.16
0.00
0.00
0.00
0.00



ZnO
0.00
0.00
0.00
0.00
0.90
0.00
0.00



TiO2
0.0210
0.3630
0.0235
0.0001
0.0141
0.0385
0.0720



SnO2
1.23
1.36
1.21
1.41
1.22
1.25
1.29



ZrO2
2.81
3.71
3.01
3.02
3.06
3.06
3.01



Fe2O3
0.0039
0.0000
0.0131
0.0088
0.0003
0.0091
0.0029



Y2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



MoO3
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000



Sb2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



As2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00


Composition
Pt
1.5
0.01
1.5
1.4
1.4
1.4
1.4


[ppm]
Rh
0.02
0.01
0.02
0.02
0.03
0.03
0.03



Pt + Rh
1.52
0.02
1.52
1.42
1.43
1.43
1.43














Sn/(P + B + Zr + Ti + Sn)
0.226
0.200
0.216
0.241
0.284
0.167
0.223


Al/(Zr + Sn)
5.42
4.33
5.14
5.01
5.28
5.08
5.14


(Mg + Zn)/Li
0.186
0.188
0.187
0.333
0.348
0.338
0.340


Sn/(Zr + Sn)
0.30
0.27
0.29
0.32
0.29
0.29
0.30


(Si + Al)/Li
24.18
23.69
24.19
24.20
24.22
24.07
24.61


(Si + Al)/Sn
71.95
63.93
72.56
63.33
74.26
70.08
69.07


(Li + Na + K)/Zr
1.44
1.18
1.35
1.25
1.25
1.21
1.33


Ti/Zr
0.0075
0.0978
0.0078
0.0000
0.0046
0.0126
0.0239


Ti/(Ti + Fe)
0.843
1.000
0.642
0.011
0.979
0.809
0.961


Na + K + Ca + Sr + Ba
4.75
4.76
5.18
5.00
4.25
4.95
5.23


(Mg + Ca + Sr + Ba)/Zr
0.66
0.51
0.76
0.41
0.14
0.41
0.41


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.46
0.43
0.57
0.33
0.11
0.34
0.31


Al/(Li + (1/2 * (Mg + Zn))
6.32
6.33
6.32
6.63
6.69
6.63
6.72


Sb + As
0.00
0.00
0.00
0.00
0.00
0.00
0.00







Before crystallization















Transmittance[%]
200 nm
80
Not measured
70
81
78
80
82


3 mm thickness
250 nm
23
Not measured
19
24
23
24
24



300 nm
35
Not measured
19
34
33
30
34



325 nm
71
Not measured
56
72
71
67
71



350 nm
86
Not measured
80
86
86
85
86



380 nm
90
Not measured
88
90
90
90
90



800 nm
92
Not measured
91
92
92
91
92



1200 nm
92
Not measured
91
92
92
92
92














L*
96.7
Not measured
96.6
96.7
96.7
96.6
96.6


a*
−0.1
Not measured
−0.1
0.0
0.0
0.0
0.0


b*
0.3
Not measured
0.4
0.3
0.3
0.3
0.3















Low temperature
Strain point[° C.]
683
Not measured
683
Not measured
Not measured
Not measured
Not measured


viscosity
Annealing point
742
Not measured
742
Not measured
Not measured
Not measured
Not measured



[° C.]










Glass transition
737
Not measured
731
738
743
731
Not measured



point[° C.]









High temperature
10{circumflex over ( )}4[° C.]
1362
Not measured
1362
1356
1352
1357
1358


viscosity
10{circumflex over ( )}3[° C.]
1544
Not measured
1544
1537
1532
1538
1538



10{circumflex over ( )}2.5[° C.]
1658
Not measured
1656
1649
1645
1650
1653



10{circumflex over ( )}2[° C.]
1793
Not measured
1789
1778
1778
1780
1790














Liquidus temperature[° C.]
1423
Not measured
1442
Not measured
Not measured
Not measured
Not measured


Liquidus viscosity[—]
3.63
Not measured
3.53
Not measured
Not measured
Not measured
Not measured















α[×10−7/° C.]
30-380° C.
39.2
Not measured
39.3
36.6
36.9
36.5
36.9














Density[g/cm3]
2.441
Not measured
2.445
2.431
2.438
2.420
2.430


β-OH[/mm]
0.18
0.18
0.18
0.18
0.18
0.18
0.18
























TABLE 8







No. 20
No. 21
No. 22
No. 23
No. 24
No. 25
No. 26















After crystallization














Crystallization condition
840° C.-3 h
810° C.-20h
810° C.-3 h
780° C.-3 h
780° C.-3 h
780° C.-3 h
780° C.-3 h

















890° C.-1 h
920° C.-3 h 
920° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h


Transmittance[%]
200 nm
41
Not measured
34
30
26
29
33


3 mm thickness
250 nm
17
Not measured
10
14
13
11
13



300 nm
41
Not measured
34
30
26
29
33



325 nm
54
Not measured
44
56
55
55
61



350 nm
69
Not measured
66
76
75
76
79



380 nm
74
0
76
82
81
83
84



800 nm
90
0
90
91
91
91
91



1200 nm
91
Not measured
90
91
91
91
91














L*
93.9
Not measured
94.8
95.4
95.3
95.6
95.6


a*
0.2
Not measured
0.0
0.1
0.0
0.0
0.1


b*
3.4
Not measured
2.7
1.7
1.9
1.5
1.4


Precipitated crystal
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q


Average crystallite size[nm]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured















α[×10−7/° C.]
30-380° C.
−5.4
−0.2
−5.0
−2.8
−2.5
−2.4
−1.1


α[×10−7/° C.]
30-750° C.
−4.0
0.9
−3.4
−2.6
−1.9
−2.5
−0.8














Density[g/cm3]
2.520
Not measured
2.529
2.529
2.534
2.527
2.523


Young's Modulus [GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Modulus of rigidity [GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Poisson's ratio
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Appearance
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and

















transparent
transparent
transparent
transparent
transparent
transparent
transparent







Rate of change before and after crystallization[%]














200 nm
49.3
Not measured
51.1
62.8
66.5
64.5
59.8


250 nm
24.3
Not measured
47.7
41.5
42.8
54.3
43.9


300 nm
−16.4
Not measured
−76.5
12.6
21.0
4.2
2.2


325 nm
23.8
Not measured
22.2
21.6
22.4
19.0
13.6


350 nm
20.1
Not measured
18.1
12.0
12.8
9.6
8.2


380 nm
17.3
Not measured
13.7
8.9
9.6
7.1
6.6


800 nm
2.1
Not measured
1.3
1.3
1.1
0.8
1.0


1200 nm
1.0
Not measured
1.4
0.9
0.9
0.6
0.9
























TABLE 9







No. 27
No. 28
No. 29
No. 30
No. 31
No. 32
No. 33


















Composition
SiO2
66.5
67.4


[wt %]
Al2O3
21.8
22.3



B2O3
0.00
0.00



P2O5
1.40
1.33



Li2O
3.63
3.68



Na2O
0.41
0.37



K2O
0.00
0.00



MgO
0.69
1.24



CaO
0.00
0.00



SrO
0.00
0.00



BaO
1.18
0.00



ZnO
0.01
0.00



TiO2
0.0182
0.0145



SnO2
1.36
1.13



ZrO2
2.95
2.62



Fe2O3
0.0018
0.0064



Y2O3
0.00
0.00



MoO3
0.0000
0.0000
















Sb2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



As2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00


Composition
Pt
0
0.03
0.16
0.30
0.49
0.71
0.03


[ppm]
Rh
0
0.02
0.09
0.06
0.07
0.10
0.22



Pt + Rh
0
0.05
0.25
0.36
0.56
0.81
0.25









Sn/(P + B + Zr + Ti + Sn)
0.237
0.222


Al/(Zr + Sn)
5.06
5.95


(Mg + Zn)/Li
0.194
0.337


Sn/(Zr + Sn)
0.32
0.30


(Si + Al)/Li
24.33
24.38


(Si + Al)/Sn
64.93
79.38


(Li + Na + K)/Zr
1.37
1.55


Ti/Zr
0.0062
0.0055


Ti/(Ti + Fe)
0.910
0.694


Na + K + Ca + Sr + Ba
4.73
5.29


(Mg + Ca + Sr + Ba)/Zr
0.64
0.47


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.47
0.31


Al/(Li + (1/2 * (Mg + Zn))
6.36
6.68


Sb + As
0.00
0.00







Before crystallization















Transmittance[%]
200 nm
72.0
83.4
Not measured
Not measured
Not measured
Not measured
Not measured


3 mm thickness
250 nm
22.1
24.6
Not measured
Not measured
Not measured
Not measured
Not measured



300 nm
35.3
45.9
Not measured
Not measured
Not measured
Not measured
Not measured



325 nm
72.6
76.6
Not measured
Not measured
Not measured
Not measured
Not measured



350 nm
86.8
87.5
Not measured
Not measured
Not measured
Not measured
Not measured



380 nm
90.4
90.3
Not measured
Not measured
Not measured
Not measured
Not measured



800 nm
91.6
91.7
Not measured
Not measured
Not measured
Not measured
Not measured



1200 nm
91.6
91.7
Not measured
Not measured
Not measured
Not measured
Not measured














L*
96.7
96.6
Not measured
Not measured
Not measured
Not measured
Not measured


a*
0.0
−0.1
Not measured
Not measured
Not measured
Not measured
Not measured


b*
0.2
0.4
Not measured
Not measured
Not measured
Not measured
Not measured















Low temperature
Strain point[° C.]
683
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


viscosity
Annealing point
742
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



[° C.]










Glass transition
731
737
Not measured
Not measured
Not measured
Not measured
Not measured



point[° C.]









High temperature
10{circumflex over ( )}4[° C.]
1362
1362
Not measured
Not measured
Not measured
Not measured
Not measured


viscosity
10{circumflex over ( )}3[° C.]
1544
1542
Not measured
Not measured
Not measured
Not measured
Not measured



10{circumflex over ( )}2.5[° C.]
1656
1655
Not measured
Not measured
Not measured
Not measured
Not measured



10{circumflex over ( )}2[° C.]
1789
1789
Not measured
Not measured
Not measured
Not measured
Not measured














Liquidus temperature[° C.]
1442
1401
Not measured
Not measured
Not measured
Not measured
Not measured


Liquidus viscosity[—]
3.53
3.72
Not measured
Not measured
Not measured
Not measured
Not measured


α[×10−7/° C.]
39.3
37.8
Not measured
Not measured
Not measured
Not measured
Not measured


Density[g/cm3]
2.444
2.422
Not measured
Not measured
Not measured
Not measured
Not measured


β-OH[/mm]
0.12
0.12
0.12
0.12
0.12
0.12
0.12
























TABLE 10







No. 27
No. 28
No. 29
No. 30
No. 31
No. 32
No. 33















After crystallization














Crystallization condition
780° C.-3 h
780° C.-3 h
780° C.-3 h
780° C.-3 h
780° C.-3 h
780° C.-3 h
780° C.-3 h

















905° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h


Transmittance[%]
200 nm
34.9
30.6
37.5
36.7
36.7
35.9
30.6


3 mm thickness
250 nm
17.0
12.1
18.9
19.0
18.9
18.7
12.1



300 nm
34.9
30.6
20.6
23.0
22.9
23.1
30.6



325 nm
69.9
61.9
59.7
62.2
60.7
60.5
61.9



350 nm
85.3
81.7
78.7
79.7
77.6
77.2
81.7



380 nm
88.9
87.0
91.1
91.1
90.8
90.7
87.0



800 nm
91.4
91.4
91.1
91.1
90.8
90.7
91.4



1200 nm
91.2
91.3
91.0
90.9
90.8
90.8
91.3














L*
96.3
96.2
95.9
95.9
95.6
95.5
96.2


a*
0.1
0.0
−0.1
−0.1
−0.1
−0.1
0.0


b*
0.4
0.7
1.2
1.1
1.5
1.6
0.7















Diffuse
600 nm
Not measured
0.10
Not measured
Not measured
Not measured
0.53
Not measured


transmittance[%]
800 nm
Not measured
0.04
Not measured
Not measured
Not measured
0.23
Not measured


3 mm thickness
1200 nm
Not measured
0.03
Not measured
Not measured
Not measured
0.06
Not measured














Precipitated crystal
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q


Average crystallite size[nm]
38
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured















α[×10−7/° C.]
30-380° C.
−5.0
−2.7
Not measured
Not measured
Not measured
Not measured
Not measured


α[×10−7/° C.]
30-750° C.
−3.4
−1.7
Not measured
Not measured
Not measured
Not measured
Not measured














Density[g/cm3]
2.530
2.515
Not measured
Not measured
Not measured
Not measured
Not measured


Young's Modulus [GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Modulus of rigidity [GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Poisson's ratio
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Appearance
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and

















transparent
transparent
transparent
transparent
transparent
transparent
transparent







Rate of change before and after crystallization[%]














200 nm
51.5
63.3
Not measured
Not measured
Not measured
Not measured
Not measured


250 nm
22.9
50.6
Not measured
Not measured
Not measured
Not measured
Not measured


300 nm
1.1
33.3
Not measured
Not measured
Not measured
Not measured
Not measured


325 nm
3.8
19.3
Not measured
Not measured
Not measured
Not measured
Not measured


350 nm
1.7
6.6
Not measured
Not measured
Not measured
Not measured
Not measured


380 nm
1.7
3.6
Not measured
Not measured
Not measured
Not measured
Not measured


800 nm
0.2
0.3
Not measured
Not measured
Not measured
Not measured
Not measured


1200 nm
0.4
0.5
Not measured
Not measured
Not measured
Not measured
Not measured



























TABLE 11







No.34
No.35
No.36
No.37
No.38
No.39
No.40
No.41
No.42
No.43


















Composition
SiO2
66.5
66.2


[wt %]
Al2O3
22.0
22.2



B2O3
0.00
0.00



P2O5
1.42
1.40



Li2O
3.50
2.35



Na2O
0.40
0.40



K2O
0.00
0.30



MgO
1.20
1.20



CaO
0.00
0.00



SrO
0.01
0.00



BaO
0.00
1.20



ZnO
0.00
0.00



TiO2
0.0058
0.0072



SnO2
1.33
1.30



ZrO2
3.00
2.99



Fe2O3
0.0057
0.0066



Y2O3
0.00
0.00



MoO3
0.0000
0.0000



Sb2O3
0.00
0.00



As2O3
0.00
0.00











Composition
Pt
0.01
0.00
1.90


[ppm]
Rh
0.03
0.00
0.05



Pt + Rh
0.04
0.00
1.95









Sn/(P + B + Zr + Ti + Sn)
0.231
0.228


Al/(Zr + Sn)
5.08
5.17


(Mg + Zn)/Li
0.343
0.511


Sn/(Zr + Sn)
0.31
0.30


(Si + Al)/Li
25.29
37.62


(Si + Al)/Sn
66.54
68.00


(Li + Na + K)/Zr
1.30
1.02


Ti/Zr
0.0019
0.0024


Ti/(Ti + Fe)
0.504
0.522


Na + K + Ca + Sr + Ba
0.41
1.90


(Mg + Ca + Sr + Ba)/Zr
0.40
0.80


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.31
0.79


Al/(Li + (1/2*(Mg + Zn))
6.89
10.05


Sb + As
0.00
0.00







Before crystallization











Transmittance[%]
200 nm
82.2
Not measured
81.5


3 mm thickness
250 nm
25.0
Not measured
23.7



300 nm
36.2
Not measured
30.6



325 nm
72.5
Not measured
68.1



350 nm
86.3
Not measured
85.0



380 nm
90.0
Not measured
89.9



800 nm
91.6
Not measured
91.6



1200 nm 
91.7
Not measured
91.6










L*
96.6
Not measured
96.6


a*
0.0
Not measured
−0.1


b*
0.3
Not measured
0.4











Low temperature
Strain point[° C.]
Not measured
Not measured
695


viscosity
Annealing point[° C.]
Not measured
Not measured
754



Glass transition point[° C.]
742
Not measured
Not measured


High temperature
10{circumflex over ( )}4[° C.]
Not measured
Not measured
1364


viscosity
10{circumflex over ( )}3[° C.]
Not measured
Not measured
1542



10{circumflex over ( )}2.5[° C.]
Not measured
Not measured
1658



10{circumflex over ( )}2[° C.]
Not measured
Not measured
Not measured










Liquidus temperature[° C.]
Not measured
Not measured
1440


Liquidus viscosity[−]
Not measured
Not measured
3.53










α[× 10−7/° C.]
30-380° C.
37.1
Not measured









Density[g/cm3]
2.431
2.460


β-OH[/mm]
0.19
0.19





















TABLE 12








No.34
No.35
No.36
No.37
No.38










After crystallization












Crystallization condition
780° C.-3 h
780° C.-3 h
810° C.-0.75 h
810° C.-0.75 h
825° C.-0.75 h















890° C.-1 h
920° C.-1 h
920° C.-0.25 h
935° C.-0.25 h
935° C.-0.25 h


Transmittance[%]
200 nm
35.5
30.2
32.9
31.4
38.1


3 mm thickness
250 nm
15.8
14.5
15.9
16.0
18.9



300 nm
35.5
22.0
23.4
23.9
23.2



325 nm
67.7
66.5
64.4
65.4
60.8



350 nm
84.5
83.8
81.5
81.9
78.2



380 nm
88.6
88.1
86.6
86.9
84.4



800 nm
91.4
91.4
91.4
91.4
91.3



1200 nm 
91.3
91.3
91.3
91.3
91.5












L*
96.3
96.3
96.2
96.2
96.0


a*
0.0
0.0
0.0
0.0
−0.1


b*
0.5
0.6
0.8
0.8
1.2


Precipitated crystal
β-Q
β-Q
β-Q
β-Q
β-Q


Average crystallite size[nm]
41
Not measured
Not measured
Not measured
Not measured













α[× 10−7/° C.]
30-380° C.
−1.7
−1.6
−1.7
Not measured
Not measured


α[× 10−7/° C.]
30-750° C.
−1.1
−1.0
−1.1
Not measured
Not measured












Density[g/cm3]
2.521
Not measured
Not measured
Not measured
2.521


Young's Modulus[GPa]
Not measured
Not measured
Not measured
Not measured
Not measured


Modulus of rigidity[GPa]
Not measured
Not measured
Not measured
Not measured
Not measured


Poisson's ratio
Not measured
Not measured
Not measured
Not measured
Not measured








Appearance
Colorless and transparent







Rate of change before and after crystallization[%]













Transmittance
200 nm
56.8
63.3
59.9
61.8
53.6


3 mm thickness
250 nm
36.7
42.1
36.6
36.1
24.6



300 nm
2.0
39.1
35.4
33.9
35.8



325 nm
6.6
8.3
11.1
9.8
16.1



350 nm
2.1
3.0
5.6
5.1
9.4



380 nm
1.5
2.1
3.8
3.5
6.2



800 nm
0.1
0.2
0.1
0.2
0.2



1200 nm 
0.5
0.5
0.5
0.5
0.2
















No.39
No.40
No . 41
No.42
No.43










After crystallization












Crystallization condition
825° C.-0.75 h
810° C.-1.5 h
810° C.-1.5 h
810° C.-1.5 h
840° C.-1.5 h















935° C.-0.25 h
920° C.-1 h  
935° C.-1 h  
950° C.-1 h  
920° C.-1 h  


Transmittance[%]
200 nm
Not measured
Not measured
Not measured
Not measured
Not measured


3 mm thickness
250 nm
Not measured
Not measured
Not measured
Not measured
Not measured



300 nm
23.2
23.2
24.3
23.5
20.2



325 nm
Not measured
60.8
47.1
50.1
45.7



350 nm
Not measured
78.2
59.5
64.0
60.7



380 nm
Not measured
Not measured
Not measured
Not measured
Not measured



800 nm
Not measured
Not measured
Not measured
Not measured
Not measured



1200 nm 
Not measured
Not measured
Not measured
Not measured
Not measured












L*
Not measured
Not measured
Not measured
Not measured
Not measured


a*
Not measured
Not measured
Not measured
Not measured
Not measured


b*
Not measured
Not measured
Not measured
Not measured
Not measured


Precipitated crystal
β-Q
β-Q
β-Q
β-Q
β-Q


Average crystallite size[nm]
Not measured
Not measured
Not measured
Not measured
Not measured













α[× 10−7/° C.]
30-380° C.
Not measured
12.2
13.6
15.4
12.0


α[× 10−7/° C.]
30-750° C.
Not measured
Not measured
Not measured
Not measured
Not measured












Density[g/cm3]
2.514
Not measured
Not measured
Not measured
Not measured


Young's Modulus[GPa]
Not measured
Not measured
Not measured
Not measured
Not measured


Modulus of rigidity[GPa]
Not measured
Not measured
Not measured
Not measured
Not measured


Poisson's ratio
Not measured
Not measured
Not measured
Not measured
Not measured









Appearance
Colorless and
Colorless and transparent



transparent








Rate of change before and after crystallization[%]













Transmittance
200 nm
53.6
Not measured
Not measured
Not measured
Not measured


3 mm thickness
250 nm
24.6
Not measured
Not measured
Not measured
Not measured



300 nm
35.8
7.3
6.3
7.0
10.3



325 nm
16.1
7.3
21.0
18.0
22.4



350 nm
9.4
6.8
25.5
21.1
24.4



380 nm
6.2
Not measured
Not measured
Not measured
Not measured



800 nm
0.2
Not measured
Not measured
Not measured
Not measured



1200 nm 
0.2
Not measured
Not measured
Not measured
Not measured























TABLE 13






No.44
No.45
No.46
No.47
No.48
No.49
No.50























Composition
SiO2
66.60
64.4
67.0
66.9
66.9
66.7
67.0


[wt %]
Al2O3
22.3
24.0
22.3
22.4
22.5
22.2
22.3



B2O3
0.00
0.00
0.02
0.00
0.00
0.00
0.00



P2O5
1.42
1.61
1.33
1.34
1.34
1.41
1.36



Li2O
3.65
3.85
3.59
3.64
3.61
3.60
3.68



Na2O
0.65
0.62
0.39
0.40
0.39
0.38
0.39



K2O
0.01
0.01
0.005
0.007
0.001
0.0001
0.0032



MgO
1.05
1.38
1.26
1.31
1.32
1.32
1.17



CaO
0.00
0.00
0.002
0.01
0.00
0.0007
0.00



SrO
0.00
0.00
0.00
0.0012
0.01
0.00
0.00



BaO
0.45
0.00
0.03
0.00
0.01
0.01
0.0008



ZnO
0.0000
0.00
0.00
0.00
0.02
0.0001
0.00



TiO2
0.0181
0.0147
0.0044
0.0048
0.0132
0.0222
0.0058



SnO2
1.19
1.20
1.20
1.18
1.15
1.28
1.19



ZrO2
2.57
2.69
2.57
2.61
2.62
2.94
2.73



Fe2O3
0.0132
0.0112
0.0085
0.0093
0.0095
0.0110
0.0082



Y2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



MoO3
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000



Sb2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



As2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00


Composition
Pt
0.01
0.00
0.15
0.15
0.15
0.15
0.15


[ppm]
Rh
0.02
0.01
0.05
0.05
0.05
0.05
0.05



Pt + Rh
0.03
0.01
0.20
0.20
0.20
0.20
0.20














Sn/(P + B + Zr + Ti + Sn)
0.229
0.218
0.234
0.230
0.224
0.226
0.225


Al/(Zr + Sn)
5.93
6.17
5.92
5.91
5.97
5.26
5.69


(Mg + Zn)/Li
0.288
0.358
0.351
0.360
0.372
0.367
0.318


Sn/(Zr + Sn)
0.32
0.31
0.32
0.31
0.31
0.30
0.30


(Si + Al)/Li
24.36
22.96
24.87
24.53
24.76
24.69
24.27


(Si + Al)/Sn
74.71
73.67
74.42
75.68
77.74
69.45
75.04


(Li + Na + K)/Zr
1.68
1.67
1.55
1.55
1.53
1.35
1.49


Ti/Zr
0.0070
0.0055
0.0017
0.0018
0.0050
0.0076
0.0021


Ti/(Ti + Fe)
0.578
0.568
0.341
0.340
0.581
0.669
0.414


Na + K + Ca + Sr + Ba
1.11
0.63
0.43
0.42
0.41
0.39
0.39


(Mg + Ca + Sr + Ba)/Zr
0.58
0.51
0.50
0.51
0.51
0.45
0.43


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.35
0.31
0.32
0.33
0.33
0.33
0.29


Al/(Li + (1/2*(Mg + Zn))
6.63
6.92
6.84
6.81
6.90
6.83
6.64


Sb + As
0.00
0.00
0.00
0.00
0.00
0.00
0.00







Before crystallization















Transmittance[%]
200 nm
Not
Not
Not
Not
Not
Not
Not


3 mm thickness

measured
measured
measured
measured
measured
measured
measured



250 nm
Not
Not
Not
Not
Not
Not
Not




measured
measured
measured
measured
measured
measured
measured



300 nm
Not
Not
Not
Not
Not
Not
Not




measured
measured
measured
measured
measured
measured
measured



325 nm
Not
Not
Not
Not
Not
Not
Not




measured
measured
measured
measured
measured
measured
measured



350 nm
Not
Not
Not
Not
Not
Not
Not




measured
measured
measured
measured
measured
measured
measured



380 nm
Not
Not
Not
Not
Not
Not
Not




measured
measured
measured
measured
measured
measured
measured



800 nm
Not
Not
Not
Not
Not
Not
Not




measured
measured
measured
measured
measured
measured
measured



1200 nm 
Not
Not
Not
Not
Not
Not
Not




measured
measured
measured
measured
measured
measured
measured














L*
Not
Not
Not
Not
Not
Not
Not



measured
measured
measured
measured
measured
measured
measured


a*
Not
Not
Not
Not
Not
Not
Not



measured
measured
measured
measured
measured
measured
measured


b*
Not
Not
Not
Not
Not
Not
Not



measured
measured
measured
measured
measured
measured
measured















Low temperature
Strain point[° C.]
Not
Not
Not
Not
Not
Not
Not


viscosity

measured
measured
measured
measured
measured
measured
measured



Annealing point[° C.]
Not
Not
Not
Not
Not
Not
Not




measured
measured
measured
measured
measured
measured
measured



Glass transition point[° C.]
Not
Not
Not
Not
Not
Not
Not




measured
measured
measured
measured
measured
measured
measured


High temperature
10{circumflex over ( )}4[° C.]
Not
Not
Not
Not
Not
Not
Not


viscosity

measured
measured
measured
measured
measured
measured
measured



10{circumflex over ( )}3[° C.]
Not
Not
Not
Not
Not
Not
Not




measured
measured
measured
measured
measured
measured
measured



10{circumflex over ( )}2.5[° C.]
Not
Not
Not
Not
Not
Not
Not




measured
measured
measured
measured
measured
measured
measured



10{circumflex over ( )}2[° C.]
Not
Not
Not
Not
Not
Not
Not




measured
measured
measured
measured
measured
measured
measured














Liquidus temperature[° C.]
Not
Not
Not
Not
Not
Not
Not



measured
measured
measured
measured
measured
measured
measured


Liquidus viscosity[−]
Not
Not
Not
Not
Not
Not
Not



measured
measured
measured
measured
measured
measured
measured















α[× 10−7/° C.]
30-380° C.
Not
Not
Not
Not
Not
Not
Not




measured
measured
measured
measured
measured
measured
measured














Density[g/cm3]
Not
Not
2.427
2.4275
2.429
2.435
Not



measured
measured




measured


β-OH[/mm]
0.11
0.11
0.11
0.11
0.11
0.11
0.11
























TABLE 14







No.44
No.45
No.46
No.47
No.48
No.49
No.50















After crystallization














Crystallization condition
795° C.-3 h
795° C.-3 h
780° C.-3 h
780° C.-3 h
780° C.-3 h
780° C.-3 h
780° C.-3 h



890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h















Transmittance[%]
200 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


3 mm thickness
250 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



300 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



325 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



350 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



380 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



800 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



1200 nm 
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured














L*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


a*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


b*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Precipitated crystal
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q


Average crystallite size[nm]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured















α[× 10−7/° C.]
30-380° C.
Not measured
Not measured
−1.5
−2.1
−1.0
−0.7
Not measured


α[× 10−7/° C.]
30-750° C.
Not measured
Not measured
−0.8
−0.9
−0.1
0.1
Not measured














Density[g/cm3]
Not measured
Not measured
2.514
2.513
2.513
2.527
Not measured


Young's Modulus[GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
93


Modulus of rigidity[GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
38


Poisson's ratio
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
0.22


Appearance
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and



transparent
transparent
transparent
transparent
transparent
transparent
transparent







Rate of change before and after crystallization[%]














200 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


250 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


300 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


325 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


350 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


380 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


800 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


1200 nm 
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured























TABLE 15






No.51
No.52
No.53
No.54
No.55
No.56
No.57























Composition
SiO2
65.20
65.0
65.3
64.6
65.8
65.1
64.8


[wt %]
Al2O3
21.8
21.8
21.9
21.5
22.1
21.8
21.7



B2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



P2O5
1.38
1.38
1.39
1.37
1.41
1.39
1.38



Li2O
3.66
3.65
3.66
3.63
3.70
3.66
3.64



Na2O
0.85
0.39
0.39
0.40
0.40
0.39
0.39



K2O
0.30
0.99
0.28
0.29
0.00
0.30
0.30



MgO
0.68
0.68
0.95
0.65
1.23
0.68
0.67



CaO
0.001
0.001
0.001
0.001
0.001
0.001
0.001



SrO
0.00
0.00
0.00
0.00
0.002
0.002
0.002



BaO
1.16
1.15
1.19
2.64
1.23
1.21
1.2300



ZnO
0.001
0.001
0.001
0.001
0.00
0.00
0.00



TiO2
0.0092
0.0113
0.0321
0.0140
0.0029
0.0201
0.0140



SnO2
1.36
1.39
1.36
1.37
1.27
1.85
2.24



ZrO2
3.70
3.64
3.71
3.64
2.98
3.68
3.71



Fe2O3
0.0080
0.0075
0.0083
0.0081
0.0082
0.0078
0.0084



Y2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



MoO3
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000



Sb2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



As2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00


Composition
Pt
0.41
0.01
0.20
0.11
0.05
0.09
0.07


[ppm]
Rh
0.00
0.01
0.02
0.02
0.02
0.02
0.02



Pt + Rh
0.41
0.02
0.22
0.13
0.07
0.11
0.09














Sn/(P + B + Zr + Ti + Sn)
0.211
0.216
0.210
0.214
0.224
0.267
0.305


Al/(Zr + Sn)
4.31
4.33
4.31
4.29
5.20
3.94
3.65


(Mg + Zn)/Li
0.186
0.187
0.260
0.179
0.332
0.186
0.184


Sn/(Zr + Sn)
0.27
0.28
0.27
0.27
0.30
0.33
0.38


(Si + Al)/Li
23.77
23.78
23.83
23.72
23.76
23.74
23.76


(Si + Al)/Sn
63.97
62.45
63.98
62.85
69.21
46.97
38.62


(Li + Na + K)/Zr
1.30
1.38
1.17
1.19
1.38
1.18
1.17


Ti/Zr
0.0025
0.0031
0.0086
0.0038
0.0010
0.0055
0.0038


Ti/(Ti + Fe)
0.535
0.601
0.795
0.633
0.261
0.720
0.625


Na + K + Ca + Sr + Ba
2.31
2.53
1.86
3.33
1.63
1.90
1.92


(Mg + Ca + Sr + Ba)/Zr
0.50
0.50
0.58
0.90
0.83
0.51
0.51


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.38
0.36
0.49
0.76
0.60
0.44
0.44


Al/(Li + (1/2*(Mg + Zn))
6.30
6.31
6.46
6.25
6.59
6.30
6.30


Sb + As
0.00
0.00
0.00
0.00
0.00
0.00
0.00







Before crystallization















Transmittance[%]
200 nm
Not
69.1
73.0
72.4
78.3
65.1
59.6


3 mm thickness

measured









250 nm
Not
20.7
21.8
21.1
23.3
20.2
18.8




measured









300 nm
Not
27.9
32.3
27.9
30.6
22.8
17.7




measured









325 nm
Not
65.9
70.3
65.9
68.0
62.9
58.6




measured









350 nm
Not
83.9
85.6
84.0
84.8
83.2
82.0




measured









380 nm
Not
89.3
89.8
89.4
89.7
89.0
88.6




measured









800 nm
Not
91.4
91.6
91.5
91.5
91.4
91.3




measured









1200 nm 
Not
91.2
91.6
91.4
91.8
91.7
91.7




measured




















L*
Not
96.6
96.6
96.6
96.6
96.5
96.5



measured








a*
Not
−0.1
−0.1
−0.1
0.0
−0.1
−0.1



measured








b*
Not
0.4
0.3
0.4
0.3
0.4
0.5



measured





















Low temperature
Strain point[° C.]
674
674
678
680
Not
Not
Not


viscosity





measured
measured
measured



Annealing point[° C.]
733
733
736
739
Not
Not
Not








measured
measured
measured



Glass transition point[° C.]
733
730
732
733
724
726
728


High temperature
10{circumflex over ( )}4[° C.]
1346
1346
1341
1345
1343
1348
1345


viscosity
10{circumflex over ( )}3[° C.]
1526
1524
1518
1523
1523
1527
1524



10{circumflex over ( )}2.5[° C.]
1641
1639
1630
1630
1636
1639
1638



10{circumflex over ( )}2[° C.]
1778
1777
1762
1762
1768
1769
1773














Liquidus temperature[° C.]
Not
Not
1493
Not
Not
Not
Not



measured
measured

measured
measured
measured
measured


Liquidus viscosity[−]
Not
Not
3.1
Not
Not
Not
Not



measured
measured

measured
measured
measured
measured















α[× 10−7/° C.]
30-380° C.
42.2
42.4
40.7
41.7
39.6
39.4
39.7














Density[g/cm3]
2.463
2.462
2.465
2.484
2.450
2.463
2.469


β-OH[/mm]
0.14
0.14
0.14
0.14
0.14
0.14
0.14























TABLE 16






No.51
No.52
No.53
No.54
No.55
No.56
No.57















After crystallization














Crystallization condition
855° C.-3 h
855° C.-3 h
840° C.-3 h
840° C.-3 h
765° C.-3 h
810° C.-3 h
810° C.-3 h

















920° C.-1 h
920° C.-1 h
920° C.-1 h
920° C.-1 h
890° C.-1 h
920° C.-1 h
920° C.-1 h


Transmittance[%]
200 nm
Not measured
Not measured
Not measured
Not measured
Not measured
36.9
37.7


3 mm thickness
250 nm
Not measured
20.1
14.5
16.1
Not measured
14.6
13.2



300 nm
Not measured
18.1
17.7
17.9
20.4
14.4
11.2



325 nm
Not measured
41.4
54.9
52.6
58.8
52.5
49.6



350 nm
Not measured
Not measured
Not measured
Not measured
75.8
72.8
73.8



380 nm
Not measured
Not measured
Not measured
Not measured
81.5
79.3
80.8



800 nm
Not measured
Not measured
Not measured
Not measured
90.4
90.4
90.4



1200 nm 
Not measured
Not measured
Not measured
Not measured
90.9
90.9
91.1














L*
Not measured
Not measured
Not measured
Not measured
95.2
94.9
95.1


a*
Not measured
Not measured
Not measured
Not measured
0.1
0.1
0.1


b*
Not measured
Not measured
Not measured
Not measured
1.8
2.4
2.1


Precipitated crystal
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q


Average crystallite size[nm]
47
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured















α[× 10−7/° C.]
30-380° C.
1.4
2.5
0.9
1.4
1.1
−0.9
−1.0


α[× 10−7/° C.]
30-750° C.
3.4
4.7
2.5
3.2
1.9
0.6
0.5














Density[g/cm3]
2.525
2.519
2.539
2.549
2.534
2.542
2.548


Young's Modulus[GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Modulus of rigidity[GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Poisson's ratio
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Appearance
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and



transparent
transparent
transparent
transparent
transparent
transparent
transparent







Rate of change before and after crystallization[%]














200 nm
Not measured
Not measured
Not measured
Not measured
Not measured
43.3
36.8


250 nm
Not measured
2.7
33.6
23.9
Not measured
27.7
29.9


300 nm
Not measured
35.0
45.2
35.9
33.4
36.8
36.6


325 nm
Not measured
37.1
21.9
20.2
13.6
16.6
15.3


350 nm
Not measured
Not measured
Not measured
Not measured
10.6
12.4
10.0


380 nm
Not measured
Not measured
Not measured
Not measured
9.1
11.0
8.8


800 nm
Not measured
Not measured
Not measured
Not measured
1.2
1.2
1.0


1200 nm 
Not measured
Not measured
Not measured
Not measured
1.0
0.9
0.6





















TABLE 17







No. 58
No. 59
No. 60
No. 61





















Composition
SiO2
65.20
64.9
64.5
64.6


[wt %]
Al2O3
22.5
22.4
22.5
22.6



B2O3
0.00
0.00
0.00
0.00



P2O5
1.38
1.38
1.89
1.37



Li2O
3.66
3.81
3.66
3.63



Na2O
0.85
0.39
0.49
0.40



K2O
0.35
0.79
0.28
0.29



MgO
1.08
0.68
0.85
0.85



CaO
0.001
0.001
0.001
0.001



SrO
0.00
0.00
0.00
0.00



BaO
1.16
1.15
1.19
2.60



ZnO
0.001
0.82
0.50
0.001



TiO2
0.0092
0.0113
0.0321
0.0140



SnO2
1.13
1.11
1.52
1.10



ZrO2
2.58
2.55
2.49
2.57



Fe2O3
0.0080
0.0075
0.0083
0.0081



Y2O3
0.00
0.00
0.00
0.00



MoO3
0.0000
0.0000
0.0000
0.0000



Sb2O3
0.00
0.00
0.00
0.00



As2O3
0.00
0.00
0.00
0.00


Composition
Pt
0.09
0.01
0.07
0.05


[ppm]
Rh
0.02
0.01
0.02
0.02



Pt + Rh
0.11
0.02
0.09
0.07











Sn/(P + B + Zr + Ti + Sn)
0.222
0.220
0.256
0.218


Al/(Zr + Sn)
6.06
6.12
5.61
6.16


(Mg + Zn)/Li
0.295
0.394
0.369
0.234


Sn/(Zr + Sn)
0.30
0.30
0.38
0.30


(Si + Al)/Li
23.96
22.91
23.77
24.02


(Si + Al)/Sn
77.61
78.65
57.24
79.27


(Li + Na + K)/Zr
1.88
1.96
1.78
1.68


Ti/Zr
0.0036
0.0044
0.0129
0.0054


Ti/(Ti + Fe)
0.535
0.601
0.795
0.633


Na + K + Ca + Sr + Ba
2.36
2.33
1.96
3.29


(Mg + Ca + Sr + Ba)/Zr
0.87
0.72
0.82
1.34


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.46
0.37
0.46
0.80


Al/(Li + (1/2*(Mg + Zn))
6.69
6.63
6.82
6.65


Sb + As
0.00
0.00
0.00
0.00







Before crystallization













Transmittance[%]
200
nm
Not measured
Not measured
Not measured
Not measured


3 mm thickness
250
nm
Not measured
Not measured
Not measured
Not measured



300
nm
Not measured
Not measured
Not measured
Not measured



325
nm
Not measured
Not measured
Not measured
Not measured



350
nm
Not measured
Not measured
Not measured
Not measured



380
nm
Not measured
Not measured
Not measured
Not measured



800
nm
Not measured
Not measured
Not measured
Not measured



1200
nm
Not measured
Not measured
Not measured
Not measured











L*
Not measured
Not measured
Not measured
Not measured


a*
Not measured
Not measured
Not measured
Not measured


b*
Not measured
Not measured
Not measured
Not measured












Low temperature
Strain point[° C.]
671
673
672
678


viscosity
Annealing point[° C.]
730
732
734
735



Glass transition point[° C.]
Not measured
Not measured
Not measured
Not measured


High temperature
10{circumflex over ( )}4[° C.]
Not measured
Not measured
Not measured
Not measured


viscosity
10{circumflex over ( )}3[° C.]
Not measured
Not measured
Not measured
Not measured



10{circumflex over ( )}2.5[° C.]
Not measured
Not measured
Not measured
Not measured



10{circumflex over ( )}2[° C.]
Not measured
Not measured
Not measured
Not measured











Liquidus temperature[° C.]
1399
1390
1379
1402


Liquidus viscosity[—]
Not measured
Not measured
Not measured
Not measured













α [×10−7/° C.]
30-380°
C.
43.0
43.3
42.4
41.7











Density[g/cm3]
Not measured
Not measured
Not measured
Not measured


β -OH[/mm]
0.13
0.13
0.13
0.13





















TABLE 18







No. 58
No. 59
No. 60
No. 61
















After crystallization











Crystallization condition
840° C.-5 h
855° C.-7 h
840° C.-3 h
840° C.-8 h
















920° C.-1 h
920° C.-1 h
920° C.-1.5 h
920° C.-1 h


Transmittance[%]
200
nm
Not measured
Not measured
Not measured
Not measured


3 mm thickness
250
nm
Not measured
Not measured
Not measured
Not measured



300
nm
Not measured
Not measured
Not measured
Not measured



325
nm
Not measured
Not measured
Not measured
Not measured



350
nm
Not measured
Not measured
Not measured
Not measured



380
nm
Not measured
Not measured
Not measured
Not measured



800
nm
Not measured
Not measured
Not measured
Not measured



1200
nm
Not measured
Not measured
Not measured
Not measured











L*
Not measured
Not measured
Not measured
Not measured


a*
Not measured
Not measured
Not measured
Not measured


b*
Not measured
Not measured
Not measured
Not measured


Precipitated crystal
β -Q
β -Q
β -Q
β -Q


Average crystallite size[nm]
Not measured
Not measured
Not measured
Not measured













α[×10−7/° C.]
30-380°
C.
Not measured
Not measured
Not measured
Not measured


α[×10−7/° C.]
30-750°
C.
Not measured
Not measured
Not measured
Not measured











Density[g/cm3]
Not measured
Not measured
Not measured
Not measured


Young's Modulus[GPa]
Not measured
Not measured
Not measured
Not measured


Modulus of rigidity [GPa]
Not measured
Not measured
Not measured
Not measured


Poisson's ratio
Not measured
Not measured
Not measured
Not measured


Appearance
Colorless and
Colorless and
Colorless and
Colorless and












transparent
transparent
transparent
transparent







Rate of change before and after crystallization[%]











200 nm
Not measured
Not measured
Not measured
Not measured


250 nm
Not measured
Not measured
Not measured
Not measured


300 nm
Not measured
Not measured
Not measured
Not measured


325 nm
Not measured
Not measured
Not measured
Not measured


350 nm
Not measured
Not measured
Not measured
Not measured


380 nm
Not measured
Not measured
Not measured
Not measured


800 nm
Not measured
Not measured
Not measured
Not measured


1200 nm 
Not measured
Not measured
Not measured
Not measured























TABLE 19






No.62
No.63
No.64
No.65
No.66
No.67
No.68























Composition
SiO2
64.50
67.4
67.3
67.0
64.5
64.4
64.5


[wt %]
Al2O3
24.2
22.1
22.3
22.2
25.1
23.7
23.7



B2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



P2O5
1.44
1.31
1.30
1.29
1.31
2.22
2.22



Li2O
4.02
3.68
3.70
3.68
3.68
3.68
3.68



Na2O
0.38
0.50
0.50
0.35
0.33
0.90
0.35



K2O
0.00
0.00
0.00
0.00
0.00
0.00
0.00



MgO
1.34
1.23
1.14
1.22
1.22
1.22
1.22



CaO
0.018
0.017
0.018
0.014
0.015
0.014
0.014



SrO
0.00
0.00
0.00
0.00
0.00
0.00
0.00



BaC
0.00
0.00
0.00
0.58
0.00
0.00
0.58



ZnO
0.00
0.00
0.00
0.00
0.00
0.00
0.00



TiO2
0.0100
0.0100
0.0100
0.0100
0.0100
0.0100
0.0100



SnO2
1.23
1.12
1.08
1.07
1.13
1.14
1.13



ZrO2
2.88
2.65
2.66
2.60
2.62
2.62
2.61



Y2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



MoO3
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000



Fe2O3
0.0060
0.0060
0.0060
0.0040
0.0060
0.0060
0.0040



Sb2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



As2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00


Composition
Pt
1.50
1.50
1.50
1.50
1.50
1.50
1.50


[ppm]
Rh
0.02
0.02
0.02
0.02
0.02
0.02
0.02



Pt + Rh
1.52
1.52
1.52
1.52
1.52
1.52
1.52














Sn/(P + B + Zr + Ti + Sn)
0.221
0.220
0.214
0.215
0.223
0.190
0.189


Al/(Zr + Sn)
5.89
5.86
5.96
6.05
6.69
6.30
6.34


(Mg + Zn)/Li
0.333
0.334
0.308
0.332
0.332
0.332
0.332


Sn/(Zr + Sn)
0.30
0.30
0.29
0.29
0.30
0.30
0.30


(Si + Al)/Li
22.06
24.32
24.22
24.24
24.35
23.94
23.97


(Si + Al)/Sn
72.11
79.91
82.96
83.36
79.29
77.28
78.05


(Li + Na + K)/Zr
1.53
1.58
1.58
1.55
1.53
1.75
1.54


Ti/Zr
0.0035
0.0038
0.0038
0.0038
0.0038
0.0038
0.0038


Ti/(Ti + Fe)
0.625
0.625
0.625
0.714
0.625
0.625
0.714


Na + K + Ca + Sr + Ba
1.74
1.75
1.66
2.16
1.57
2.13
2.16


(Mg + Ca + Sr + Ba)/Zr
0.47
0.47
0.44
0.70
0.47
0.47
0.70


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.31
0.30
0.28
0.45
0.31
0.27
0.45


Al/(Li + (1/2*(Mg + Zn))
6.69
6.62
6.60
6.64
7.43
7.05
7.05


Sb + As
0.00
0.00
0.00
0.00
0.00
0.00
0.00







Before crystallization















Transmittance[%]
200 nm
Not
Not
Not
78.7
78.7
77.2
81.2


3 mm thickness

measured
measured
measured







250 nm
Not
Not
Not
23.6
23.0
23.0
23.9




measured
measured
measured







300 nm
Not
Not
Not
38.7
33.6
35.8
37.1




measured
measured
measured







325 nm
Not
Not
Not
72.5
69.1
71.0
72.9




measured
measured
measured







350 nm
Not
Not
Not
85.1
83.9
84.9
85.7




measured
measured
measured







380 nm
Not
Not
Not
89.0
88.6
89.2
89.4




measured
measured
measured







800 nm
Not
Not
Not
91.4
91.1
91.4
91.5




measured
measured
measured







1200 nm 
Not
Not
Not
91.6
91.1
91.3
91.6




measured
measured
measured


















L*
96.6
96.6
96.7
96.4
96.3
96.5
96.5


a*
0.0
0.0
0.0
0.0
0.0
0.0
0.0


b*
0.4
0.3
0.3
0.5
0.5
0.4
0.4















Low temperature
Strain point[° C.]
Not
Not
Not
Not
Not
Not
Not


viscosity

measured
measured
measured
measured
measured
measured
measured



Annealing point[° C.]
Not
Not
Not
Not
Not
Not
Not




measured
measured
measured
measured
measured
measured
measured



Glass transition
Not
Not
Not
741
738
732
736



point[° C.]
measured
measured
measured






High temperature
10{circumflex over ( )}4[° C.]
Not
Not
Not
1352
1325
1330
1334


viscosity

measured
measured
measured







10{circumflex over ( )}3[° C.]
Not
Not
Not
1534
1500
1508
1512




measured
measured
measured







10{circumflex over ( )}2.5[° C.]
Not
Not
Not
1650
1611
1619
1622




measured
measured
measured







10{circumflex over ( )}2[° C.]
Not
Not
Not
1793
1743
1749
1751




measured
measured
measured


















Liquidus temperature[° C.]
Not
Not
Not
Not
Not
Not
Not



measured
measured
measured
measured
measured
measured
measured


Liquidus viscosity[−]
Not
Not
Not
Not
Not
Not
Not



measured
measured
measured
measured
measured
measured
measured















α[× 10−7/° C.]
30-380° C.
Not
Not
Not
38.8
38.0
40.9
38.3




measured
measured
measured


















Density[g/cm3]
2.447
2.425
2.425
2.437
2.447
2.438
2.446


β-OH[/mm]
0.13
0.17
0.09
0.11
0.12
0.12
0.21























TABLE 20






No.62
No.63
No.64
No.65
No.66
No.67
No.68















After crystallization














Crystallization condition
780° C.-3 h
780° C.-3 h
780° C.-3 h
780° C.-3 h
810° C.-3 h
780° C.-3 h
780° C.-3 h



890° C.-1 h
890° C.-1 h
920° C.-1 h
890° C.-1 h
890° C.-1 h
920° C.-1 h
920° C.-1 h















Transmittance[%]
200 nm
Not measured
Not measured
Not measured
Not measured
Not measured
49.8
Not measured


3 mm thickness
250 nm
Not measured
Not measured
Not measured
Not measured
Not measured
20.8
Not measured



300 nm
Not measured
Not measured
Not measured
Not measured
Not measured
19.6
Not measured



325 nm
Not measured
Not measured
Not measured
Not measured
Not measured
40.5
Not measured



350 nm
Not measured
Not measured
Not measured
Not measured
Not measured
52.8
Not measured



380 nm
Not measured
Not measured
Not measured
Not measured
Not measured
60.6
Not measured



800 nm
Not measured
Not measured
Not measured
Not measured
Not measured
88.3
Not measured



1200 nm 
Not measured
Not measured
Not measured
Not measured
Not measured
90.4
Not measured














L*
Not measured
Not measured
Not measured
Not measured
Not measured
94.5
Not measured


a*
Not measured
Not measured
Not measured
Not measured
Not measured
0.4
Not measured


b*
Not measured
Not measured
Not measured
Not measured
Not measured
6.8
Not measured


Precipitated crystal
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q


Average crystallite size[nm]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured















α[× 10−7/° C.]
30-380° C.
−1.5
−1.1
−2.1
Not measured
Not measured
Not measured
Not measured


α[× 10−7/° C.]
30-750° C.
−0.3
−0.3
−1.4
Not measured
Not measured
Not measured
Not measured














Density[g/cm3]
2.514
2.507
2.508
2.519
2.514
2.499
2.520


Young's Modulus[GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Modulus of rigidity[GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Poisson's ratio
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Appearance
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and



transparent
transparent
transparent
transparent
transparent
transparent
transparent







Rate of change before and after crystallization[%]














200 nm
Not measured
Not measured
Not measured
Not measured
Not measured
35.4
Not measured


250 nm
Not measured
Not measured
Not measured
Not measured
Not measured
9.4
Not measured


300 nm
Not measured
Not measured
Not measured
Not measured
Not measured
45.2
Not measured


325 nm
Not measured
Not measured
Not measured
Not measured
Not measured
43.0
Not measured


350 nm
Not measured
Not measured
Not measured
Not measured
Not measured
37.8
Not measured


380 nm
Not measured
Not measured
Not measured
Not measured
Not measured
32.1
Not measured


800 nm
Not measured
Not measured
Not measured
Not measured
Not measured
3.3
Not measured


1200 nm 
Not measured
Not measured
Not measured
Not measured
Not measured
1.1
Not measured
























TABLE 21







No.69
No.70
No.71
No.72
No.73
No.74
No.75























Composition
SiO2
64.50
64.6
64.5
65.9
67.2
67.5
64.7


[wt %]
Al2O3
23.7
24.6
24.6
22.2
22.2
22.2
23.6



B2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



P2O5
2.23
1.91
2.84
1.31
0.00
0.00
1.31



Li2O
3.68
3.68
3.68
3.68
3.68
3.68
3.68



Na2O
0.34
0.35
0.35
0.33
0.33
0.07
0.08



K2O
0.58
0.00
0.00
0.00
0.00
0.00
0.00



MgO
1.23
1.22
0.37
2.83
2.83
2.83
2.84



CaO
0.014
0.014
0.009
0.024
0.023
0.023
0.024



SrO
0.00
0.00
0.00
0.00
0.00
0.00
0.00



BaO
0.00
0.00
0.00
0.00
0.00
0.00
0.00



ZnO
0.00
0.00
0.00
0.00
0.00
0.00
0.00



TiO2
0.0100
0.0100
0.0100
0.0100
0.0100
0.0100
0.0100



SnO2
1.17
1.13
1.15
1.17
1.17
1.15
1.17



ZrO2
2.59
2.60
2.61
2.60
2.60
2.59
2.61



Fe2O3
0.0040
0.0050
0.0050
0.0050
0.0050
0.0050
0.0050



Y2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



MoO3
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000



Sb2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



As2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00


Composition
Pt
1.50
1.50
1.50
1.50
1.50
1.50
1.50


[ppm]
Rh
0.02
0.02
0.02
0.02
0.02
0.02
0.02



Pt + Rh
1.52
1.52
1.52
1.52
1.52
1.52
1.52














Sn/(P + B + Zr + Ti + Sn)
0.195
0.200
0.174
0.230
0.310
0.307
0.229


Al/(Zr + Sn)
6.30
6.60
6.54
5.89
5.89
5.94
6.24


(Mg + Zn)/Li
0.334
0.332
0.101
0.769
0.769
0.769
0.772


Sn/(Zr + Sn)
0.31
0.30
0.31
0.31
0.31
0.31
0.31


(Si + Al)/Li
23.97
24.24
24.21
23.94
24.29
24.38
23.99


(Si + Al)/Sn
75.38
78.94
77.48
75.30
76.41
78.00
75.47


(Li + Na + K)/Zr
1.78
1.55
1.54
1.54
1.54
1.45
1.44


Ti/Zr
0.0039
0.0038
0.0038
0.0038
0.0038
0.0039
0.0038


Ti/(Ti + Fe)
0.714
0.667
0.667
0.667
0.667
0.667
0.667


Na + K + Ca + Sr + Ba
2.16
1.58
0.73
3.18
3.18
2.92
2.94


(Mg + Ca + Sr + Ba)/Zr
0.48
0.47
0.15
1.10
1.10
1.10
1.10


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.27
0.31
0.09
0.71
0.71
0.76
0.76


Al/(Li + (1/2*(Mg + Zn))
7.06
7.29
6.87
7.45
7.45
7.45
7.83


Sb + As
0.00
0.00
0.00
0.00
0.00
0.00
0.00







Before crystallization















Transmittance[%]
200 nm
72.4
73.9
82.2
76.4
75.4
77.1
76.6


3 mm thickness
250 nm
23.1
23.5
24.1
23.7
23.4
24.0
23.8



300 nm
38.5
37.1
34.5
37.2
35.7
34.5
36.2



325 nm
73.8
73.5
71.9
72.0
70.7
70.1
71.0



350 nm
86.5
86.6
86.1
85.2
84.8
84.5
84.6



380 nm
90.0
90.1
89.9
89.1
89.2
88.7
88.7



800 nm
91.6
91.7
91.7
91.1
91.3
90.9
90.9



1200 nm 
91.8
91.7
91.8
91.4
91.4
91.2
91.1














L*
96.6
96.7
96.6
96.3
96.5
96.3
96.2


a*
0.0
0.0
0.0
0.0
−0.1
0.0
0.0


b*
0.3
0.3
0.3
0.4
0.4
0.5
0.5















Low temperature
Strain point[° C.]
Not
Not
Not
Not
Not
Not
Not


viscosity

measured
measured
measured
measured
measured
measured
measured



Annealing point[° C.]
Not
Not
Not
Not
Not
Not
Not




measured
measured
measured
measured
measured
measured
measured



Glass transition
732
739
750
Not
Not
Not
Not



point[° C.]



measured
measured
measured
measured


High temperature
10{circumflex over ( )}4[° C.]
1334
1327
1350
Not
1309
Not
Not


viscosity




measured

measured
measured



10{circumflex over ( )}3[° C.]
1512
1502
1528
Not
1488
Not
Not







measured

measured
measured



10{circumflex over ( )}2.5[° C.]
1624
1612
1639
Not
1602
Not
Not







measured

measured
measured



10{circumflex over ( )}2[° C.]
1756
1741
1 770
Not
1739
Not
Not







measured

measured
measured














Liquidus temperature[° C.]
Not
Not
Not
Not
Not
Not
Not



measured
measured
measured
measured
measured
measured
measured


Liquidus viscosity[−]
Not
Not
Not
Not
Not
Not
Not



measured
measured
measured
measured
measured
measured
measured















α[× 10−7/° C.]
30-380° C.
40.5
38.2
37.4
Not
Not
Not
Not







measured
measured
measured
measured














Density[g/cm3]
2.437
2.442
2.423
2.450
2.451
2.450
2.458


β-OH[/mm]
0.23
0.29
0.05
0.18
0.40
0.71
0.94























TABLE 22






No.69
No.70
No.71
No.72
No.73
No.74
No.75















After crystallization














Crystallization condition
780° C.-3 h
780° C.-3 h
810° C.-3 h
810° C.-3 h
780° C.-3 h
780° C.-3 h
810° C.-3 h

















920° C.-1 h
920° C.-1 h
890° C.-1 h
890° C.-1 h
920° C.-1 h
860° C.-1 h
920° C.-1 h


Transmittance[%]
200 nm
48.6
Not measured
73.0
Not measured
Not measured
Not measured
Not measured


3 mm thickness
250 nm
20.1
Not measured
30.3
Not measured
Not measured
Not measured
Not measured



300 nm
21.6
Not measured
20.1
Not measured
Not measured
Not measured
Not measured



325 nm
45.6
Not measured
32.0
Not measured
Not measured
Not measured
Not measured



350 nm
58.1
Not measured
42.3
Not measured
Not measured
Not measured
Not measured



380 nm
65.2
Not measured
48.6
Not measured
Not measured
Not measured
Not measured



800 nm
88.7
Not measured
76.6
Not measured
Not measured
Not measured
Not measured



1200 nm 
90.7
Not measured
86.6
Not measured
Not measured
Not measured
Not measured














L*
92.5
Not measured
83.3
Not measured
Not measured
Not measured
Not measured


a*
−0.2
Not measured
1.4
Not measured
Not measured
Not measured
Not measured


b*
5.6
Not measured
7.1
Not measured
Not measured
Not measured
Not measured


Precipitated crystal
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q


Average crystallite size[nm]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured















α[× 10−7/° C.]
30-380° C.
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


α[× 10−7/° C.]
30-750° C.
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured














Density[g/cm3]
2.498
2.522
2.499
2.514
2.526
2.519
2.510


Young's Modulus[GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Modulus of rigidity[GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Poisson's ratio
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Appearance
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and



transparent
transparent
transparent
transparent
transparent
transparent
transparent







Rate of change before and after crystallization[%]














200 nm
Not measured
Not measured
Not measured
Not measured
Not measured
35.4
Not measured


250 nm
Not measured
Not measured
Not measured
Not measured
Not measured
9.4
Not measured


300 nm
Not measured
Not measured
Not measured
Not measured
Not measured
45.2
Not measured


325 nm
Not measured
Not measured
Not measured
Not measured
Not measured
43.0
Not measured


350 nm
Not measured
Not measured
Not measured
Not measured
Not measured
37.8
Not measured


380 nm
Not measured
Not measured
Not measured
Not measured
Not measured
32.1
Not measured


800 nm
Not measured
Not measured
Not measured
Not measured
Not measured
3.3
Not measured


1200 nm 
Not measured
Not measured
Not measured
Not measured
Not measured
1.1
Not measured























TABLE 23






No.76
No.77
No.78
No.79
No.80
No.81
No.82























Composition
SiO2
64.30
64.4
64.4
64.5
67.4
68.1
68.5


[wt %]
Al2O3
23.7
23.6
23.7
24.5
22.2
22.2
22.2



B2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



P2O5
1.81
1.31
0.81
1.30
1.35
0.81
0.40



Li2O
3.68
3.68
3.68
3.68
3.65
3.66
3.68



Na2O
0.36
0.36
0.36
0.35
0.35
0.35
0.35



K2O
0.00
0.00
0.00
0.00
0.00
0.00
0.00



MgO
1.23
1.22
1.22
1.23
1.22
1.23
1.23



CaO
0.014
0.014
0.014
0.020
0.019
0.020
0.020



SrO
0.00
0.00
0.00
0.00
0.00
0.00
0.00



BaO
0.98
1.46
1.95
0.00
0.00
0.00
0.00



ZnO
0.000
0.000
0.000
0.000
0.00
0.00
0.00



TiO2
0.0100
0.0100
0.0100
0.0100
0.0100
0.0100
0.0100



SnO2
1.14
1.15
1.19
1.12
1.15
1.13
1.15



ZrO2
2.61
2.62
2.60
2.61
2.76
2.58
2.56



Fe2O3
0.0050
0.0050
0.0040
0.0050
0.0040
0.0040
0.0050



Y2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



MoO3
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000



Sb2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



As2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00


Composition
Pt
1.50
1.50
1.50
1.50
1.50
1.50
1.50


[ppm]
Rh
0.02
0.02
0.02
0.02
0.02
0.02
0.02



Pt + Rh
1.52
1.52
1.52
1.52
1.52
1.52
1.52














Sn/(P + B + Zr + Ti + Sn)
0.205
0.226
0.258
0.222
0.218
0.249
0.279


Al/(Zr + Sn)
6.32
6.26
6.25
6.57
5.68
5.98
5.98


(Mg + Zn)/Li
0.334
0.332
0.332
0.334
0.334
0.336
0.334


Sn/(Zr + Sn)
0.30
0.31
0.31
0.30
0.29
0.30
0.31


(Si + Al)/Li
23.91
23.91
23.94
24.18
24.55
24.67
24.65


(Si + Al)/Sn
77.19
76.52
74.03
79.46
77.91
79.91
78.87


(Li + Na + K)/Zr
1.55
1.54
1.55
1.54
1.45
1.55
1.57


Ti/Zr
0.0038
0.0038
0.0038
0.0038
0.0036
0.0039
0.0039


Ti/(Ti + Fe)
0.667
0.667
0.714
0.667
0.714
0.714
0.667


Na + K + Ca + Sr + Ba
2.58
3.05
3.54
1.60
1.59
1.60
1.60


(Mg + Ca + Sr + Ba)/Zr
0.85
1.03
1.22
0.48
0.45
0.48
0.49


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.55
0.67
0.79
0.31
0.31
0.31
0.31


Al/(Li + (1/2*(Mg + Zn))
7.06
7.02
7.05
7.27
6.69
6.68
6.65


Sb + As
0.00
0.00
0.00
0.00
0.00
0.00
0.00







Before crystallization















Transmittance[%]
200 nm
80.8
74.6
74.7
84.9
83.4
83.7
81.2


3 mm thickness
250 nm
23.5
23.1
23.1
24.5
24.1
24.4
23.9



300 nm
38.5
37.3
35.9
37.2
36.2
37.0
34.6



325 nm
73.7
72.9
72.3
72.6
71.8
73.2
71.4



350 nm
86.4
86.1
85.9
85.7
85.5
86.4
85.7



380 nm
90.0
89.9
89.8
89.6
89.6
90.2
89.8



800 nm
91.7
91.7
91.6
91.5
91.7
91.8
91.6



1200 nm 
91.6
91.7
91.6
91.5
91.6
91.7
91.6














L*
96.6
96.6
96.6
96.5
96.6
96.7
96.6


a*
−0.1
−0.1
−0.1
0.0
0.0
0.0
0.0


b*
0.3
0.4
0.4
0.4
0.4
0.3
0.3















Low temperature
Strain point[° C.]
Not
Not
Not
Not
Not
Not
Not


viscosity

measured
measured
measured
measured
measured
measured
measured



Annealing point[° C.]
Not
Not
Not
Not
Not
Not
Not




measured
measured
measured
measured
measured
measured
measured



Glass transition
Not
Not
Not
Not
738
Not
Not



point[° C.]
measured
measured
measured
measured

measured
measured


High temperature
10{circumflex over ( )}4[° C.]
Not
Not
Not
Not
1354
1353
Not


viscosity

measured
measured
measured
measured


measured



10{circumflex over ( )}3[° C.]
Not
Not
Not
Not
1538
1536
Not




measured
measured
measured
measured


measured



10{circumflex over ( )}2.5[° C.]
Not
Not
Not
Not
1652
1653
Not




measured
measured
measured
measured


measured



10{circumflex over ( )}2[° C.]
Not
Not
Not
Not
1782
1792
Not




measured
measured
measured
measured


measured














Liquidus temperature[° C.]
Not
Not
Not
Not
Not
1399
1413



measured
measured
measured
measured
measured




Liquidus viscosity[−]
Not
Not
Not
Not
Not
3.7
Not



measured
measured
measured
measured
measured

measured















α[× 10−7/° C.]
30-380° C.
Not
Not
Not
Not
38.8
Not
Not




measured
measured
measured
measured

measured
measured














Density[g/cm3]
2.455
2.464
2.476
2.454
2.428
2.427
2.427


β-OH[/mm]
0.65
0.30
0.26
0.44
0.03
0.58
0.20























TABLE 24






No.76
No.77
No.78
No.79
No.80
No.81
No.82















After crystallization














Crystallization condition
780° C.-3 h
810° C.-3 h
765° C.-3 h
780° C.-3 h
780° C.-3 h
780° C.-3 h
780° C.-3 h

















860° C.-1 h
920° C.-1 h
860° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h


Transmittance[%]
200 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


3 mm thickness
250 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



300 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



325 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



350 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



380 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



800 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



1200 nm 
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured














L*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


a*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


b*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Precipitated crystal
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q


Average crystallite size[nm]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured















α[× 10−7/° C.]
30-380° C.
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
−2.5


α[× 10−7/° C.]
30-750° C.
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
−1.8














Density[g/cm3]
2.519
2.510
2.530
2.530
2.536
2.520
2.515


Young's Modulus[GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Modulus of rigidity[GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Poisson's ratio
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Appearance
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and



transparent
transparent
transparent
transparent
transparent
transparent
transparent







Rate of change before and after crystallization[%]














200 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


250 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


300 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


325 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


350 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


380 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


800 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


1200 nm 
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured























TABLE 25






No.83
No.84
No.85
No.86
No.87
No.88
No.89























Composition
SiO2
68.9
65.7
66.1
66.5
65.2
67.9
67.9


[wt %]
Al2O3
22.2
24.5
24.5
24.5
24.5
22.3
22.3



B2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



P2O5
0.00
0.81
0.40
0.00
1.31
0.40
0.40



Li2O
3.68
3.68
3.68
3.68
3.68
3.68
3.68



Na2O
0.35
0.36
0.35
0.36
0.39
0.67
0.67



K2O
0.00
0.00
0.00
0.00
0.00
0.01
0.01



MgO
1.22
1.22
1.23
1.23
1.23
1.25
1.25



CaO
0.020
0.020
0.020
0.020
0.020
0.024
0.024



SrO
0.00
0.00
0.00
0.00
0.00
0.00
0.00



BaO
0.00
0.00
0.00
0.00
0.00
0.00
0.00



ZnO
0.00
0.00
0.00
0.00
0.00
0.00
0.00



TiO2
0.0100
0.0100
0.0100
0.0100
0.0100
0.0080
0.0200



SnO2
1.17
1.16
1.18
1.14
1.11
1.13
1.13



ZrO2
2.56
2.59
2.59
2.58
2.59
2.62
2.62



Y2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



MoO3
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000



Fe2O3
0.0050
0.0050
0.0050
0.0050
0.0050
0.0050
0.0090



Sb2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00



As2O3
0.00
0.00
0.00
0.00
0.00
0.00
0.00


Composition
Pt
1.50
1.50
1.50
1.50
1.50
1.50
0.02


[ppm]
Rh
0.02
0.02
0.02
0.02
0.02
0.02
0.01



Pt + Rh
1.52
1.52
1.52
1.52
1.52
1.52
0.03














Sn/(P + B + Zr + Ti + Sn)
0.313
0.254
0.282
0.306
0.221
0.272
0.271


Al/(Zr + Sn)
5.95
6.53
6.50
6.59
6.62
5.95
5.95


(Mg + Zn)/Li
0.332
0.332
0.334
0.334
0.334
0.340
0.340


Sn/(Zr + Sn)
0.31
0.31
0.31
0.31
0.30
0.30
0.30


(Si + Al)/Li
24.76
24.51
24.62
24.73
24.38
24.51
24.51


(Si + Al)/Sn
77.86
77.76
76.78
79.82
80.81
79.82
79.82


(Li + Na + K)/Zr
1.57
1.56
1.56
1.57
1.57
1.66
1.66


Ti/Zr
0.0039
0.0039
0.0039
0.0039
0.0039
0.0031
0.0076


Ti/(Ti + Fe)
0.667
0.667
0.667
0.667
0.667
0.615
0.690


Na + K + Ca + Sr + Ba
1.59
1.60
1.60
1.61
1.64
1.95
1.95


(Mg + Ca + Sr + Ba)/Zr
0.48
0.48
0.48
0.48
0.48
0.49
0.49


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.31
0.31
0.31
0.31
0.31
0.29
0.29


Al/(Li + (1/2*(Mg + Zn))
6.64
7.27
7.27
7.27
7.27
6.68
6.68


Sb + As
0.00
0.00
0.00
0.00
0.00
0.00
0.00







Before crystallization















Transmittance[%]
200 nm
76.7
77.3
77.4
76.6
79.5
83.6
71.9


3 mm thickness
250 nm
23.4
23.6
23.7
23.6
24.0
24.1
20.9



300 nm
34.1
35.2
35.5
35.8
37.5
37.6
28.5



325 nm
71.5
72.2
72.5
72.2
73.2
73.3
66.0



350 nm
85.9
86.1
86.2
86.1
86.4
86.5
84.0



380 nm
90.0
90.0
90.0
90.1
90.1
90.3
89.7



800 nm
91.7
91.7
91.7
91.6
91.7
91.8
91.5



1200 nm 
91.6
91.6
91.6
91.6
91.6
91.9
91.3














L*
96.7
96.6
96.6
96.7
96.7
96.7
96.7


a*
0.0
0.0
0.0
0.0
−0.1
0.0
−0.1


b*
0.3
0.3
0.3
0.3
0.3
0.3
0.3















Low temperature
Strain point[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
678
Not measured


viscosity
Annealing
Not measured
Not measured
Not measured
Not measured
Not measured
737
Not measured



point[° C.]










Glass transition
Not measured
Not measured
Not measured
Not measured
Not measured
738
Not measured



point[° C.]









High temperature
10{circumflex over ( )}4[° C.]
Not measured
Not measured
1331
Not measured
Not measured
1354
Not measured


viscosity
10{circumflex over ( )}3[° C.]
Not measured
Not measured
1506
Not measured
Not measured
1538
Not measured



10{circumflex over ( )}2.5[° C.]
Not measured
Not measured
1616
Not measured
Not measured
1654
Not measured



10{circumflex over ( )}2[° C.]
Not measured
Not measured
1744
Not measured
Not measured
1793
Not measured














Liquidus temperature[° C.]
1419
Not measured
Not measured
1441 (mullite)
Not measured
1407
Not measured


Liquidus viscosity[−]
Not measured
Not measured
Not measured
Not measured
Not measured
3.7
Not measured















α[× 10−7/° C.]
30-380° C.
Not measured
Not measured
Not measured
Not measured
Not measured
39.6
Not measured














Density[g/cm3]
2.428
2.442
2.443
2.444
2.441
2.429
2.429


β-OH[/mm]
0.83
0.07
0.15
0.18
0.22
0.12
0.54
























TABLE 26









No. 83
No .84
No. 85
No. 86
No. 87
No. 88
No. 89











Crystallization condition

















780° C.-3 h
780° C.-3 h
780° C.-3 h
780° C.-3 h
780° C.-3 h
780° C.-3 h
780° C.-3 h




890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h










After crystallization















Transmittance[%]
200 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


3 mm thickness
250 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



300 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



325 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



350 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



380 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



800 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



1200 nm 
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured














L*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


a*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


b*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Precipitated crystal
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q


Average crystallite size[nm]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured















α[×10−7/° C.]
30-380° C.
−3.1
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


α[×10−7/° C.]
30-750° C.
−2.2
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured














Density[g/cm3]
2.512
2.514
2.515
2.516
2.517
2.516
2.524


Young's Modulus [ GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
|Not measured
Not measured


Modulus of rigidity [GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Poisson's ratio
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Appearance
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and



transparent
transparent
transparent
transparent
transparent
transparent
transparent







Rate of change before and after crystallization [%]














200 nm
Not measured
Not measured
Not measured
|Not measured
Not measured
Not measured
Not measured


250 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


300 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


325 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


350 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


380 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


800 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


1200 nm 
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured























TABLE 27







No. 90
No. 91
No. 92
No. 93
No. 94
No. 95






















Composition
SiO2
67.90
67.9
67.9
67.8
68.5
68.2


[wt %]
Al2O3
22.3
22.3
22.3
22.5
21.9
22.0



B2O3
0.00
0.00
0.00
0.00
0.00
0.00



P2O5
0.40
0.40
0.40
0.40
0.40
0.45



Li2O
3.68
3.68
3.68
3.68
3.68
3.68



Na2O
0.67
0.67
0.67
0.58
0.58
0.68



K2O
0.01
0.01
0.01
0.00
0.00
0.02



MgO
1.25
1.25
1.25
1.23
1.22
1.24



CaO
0.024
0.024
0.024
0.020
0.019
0.054



SrO
0.00
0.00
0.00
0.00
0.00
0.00



BaO
0.00
0.00
0.00
0.00
0.00
0.06



ZnO
0.00
0.00
0.00
0.00
0.00
0.00



TiO2
0.0200
0.0200
0.0200
0.0100
0.0100
0.1200



SnO2
1.13
1.13
1.13
1.18
1.18
1.04



ZrO2
2.62
2.62
2.62
2.60
2.58
2.51



Fe2O3
0.0090
0.0090
0.0090
0.0050
0.0040
0.0140



Y2O3
0.00
0.00
0.00
0.00
0.00
0.00



MoO3
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000



Sb2O3
0.00
0.00
0.00
0.00
0.00
0.00



As2O3
0.00
0.00
0.00
0.00
0.00
0.00


Composition
Pt
0.02
0.02
0.02
1.50
1.50
1.50


[ppm]
Rh
0.01
0.01
0.01
0.02
0.02
0.02



Pt + Rh
0.03
0.03
0.03
1.52
1.52
1.52













Sn/(P + B + Zr + Ti + Sn)
0.271
0.271
0.271
0.282
0.283
0.252


Al/(Zr + Sn)
5.95
5.95
5.95
5.95
5.82
6.20


(Mg + Zn)/Li
0.340
0.340
0.340
0.334
0.332
0.337


Sn/(Zr + Sn)
0.30
0.30
0.30
0.31
0.31
0.29


(Si + Al)/Li
24.51
24.51
24.51
24.54
24.57
24.51


(Si + Al)/Sn
79.82
79.82
79.82
76.53
76.61
86.73


(Li + Na + K)/Zr
1.66
1.66
1.66
1.64
1.65
1.74


Ti/Zr
0.0076
0.0076
0.0076
0.0038
0.0039
0.0478


Ti/(Ti + Fe)
0.690
0.690
0.690
0.667
0.714
0.896


Na + K + Ca + Sr + Ba
1.95
1.95
1.95
1.83
1.82
2.05


(Mg + Ca + Sr + Ba)/Zr
0.49
0.49
0.49
0.48
0.48
0.54


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.29
0.29
0.29
0.29
0.29
0.31


Al/(Li + (½*(Mg + Zn))
6.68
6.68
6.68
6.73
6.56
6.60


Sb + As
0.00
0.00
0.00
0.00
0.00
0.00







Before crystallization














Transmittance[%]
200 nm
71.9
71.9
71.9
84.1
86.3
Not measured


3 mm thickness
250 nm
20.9
20.9
20.9
24.2
24.4
Not measured



300 nm
28.5
28.5
28.5
36.5
37.4
Not measured



325 nm
66.0
66.0
66.0
72.7
73.6
Not measured



350 nm
84.0
84.0
84.0
86.2
86.7
Not measured



380 nm
89.7
89.7
89.7
90.2
90.3
Not measured



800 nm
91.5
91.5
91.5
91.6
91.8
Not measured



1200 nm 
91.3
91.3
91.3
91.7
91.9
Not measured













L*
96.7
96.7
96.7
96.7
96.7
96.6


a*
−0.1
−0.1
−0.1
0.0
−0.1
−0.1


b*
0.3
0.3
0.3
0.3
0.3
0.4














Low temperature
Strain point[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


viscosity
Annealing point[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



Glass transition point[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
733


High temperature
10{circumflex over ( )}4[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
1357


viscosity
10{circumflex over ( )}3[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
1542



10{circumflex over ( )}2.5[° C.]  
Not measured
Not measured
Not measured
Not measured
Not measured
1656



10{circumflex over ( )}2[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
1788













Liquidus temperature[° C.]
Not measured
Not measured
Not measured
1409
Not measured
1400


Liquidus viscosity[—]
Not measured
Not measured
Not measured
Not measured
Not measured
3.8














α[×10−7/° C.]
30-380° C.
Not measured
Not measured
Not measured
Not measured
Not measured
39.2













Density[g/cm3]
2.429
2.429
2.429
2.432
2.428
2.425


β-OH[/mm]
0.28
0.16
0.19
0.25
0.32
0.47























TABLE 28









No. 90
No. 91
No. 92
No. 93
No. 94
No. 95











Crystallization condition
















780° C.-3 h
780° C.-3 h
780° C.-3 h
780° C.-1.5 h
810° C.-0.75 h
780° C.-3 h




890° C.-1 h
890° C.-1 h
890° C.-0.25 h
920° C.-0.5 h
920° C.-0.25 h
890° C.-1 h










After crystallization














Transmittance[%]
200 nm
30.9
33
35.2
35
40
37.8


3 mm thickness
250 nm
14.8
11.9
13.1
12.8
13
15.1



300 nm
24.2
16.8
18.7
17.5
14.1
22.5



325 nm
63.5
59.4
59.4
54.8
51.7
61.2



350 nm
78.3
79
77.8
73
72.9
76.6



380 nm
83.4
86
85.1
81
82.3
82.0



800 nm
90.9
91
91.2
91
90.9
90.6



1200 nm 
91.3
91
90.6
91
90.2
91.1













L*
95.6
96.2
96.1
95.56
95.7
95.3


a*
0.1
0.0
−0.1
−0.15
0.0
0.1


b*
1.5
0.8
1.0
1.82
1.5
1.8


Precipitated crystal
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q


Average crystallite size[nm]
41
Not measured
Not measured
Not measured
Not measured
Not measured














α[×10−7/° C.]
30-380° C.
−1.3
Not measured
Not measured
Not measured
Not measured
Not measured


α[×10−7/° C.]
30-750° C.
−0.2
Not measured
Not measured
Not measured
Not measured
Not measured













Density[g/cm3]
2.508
2.508
2.504
2.505
2.511
2.508


Young's Modulus [GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Modulus of rigidity [GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Poisson's ratio
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Appearance
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and



transparent
transparent
transparent
transparent
transparent
transparent







Rate of change before and after crystallization[%]













200 nm
63.1
53.9
51.0
51.5
43.7
55.1


250 nm
38.7
43.2
37.6
38.9
36.1
37.7


300 nm
35.6
40.9
34.3
38.4
50.4
38.2


325 nm
13.4
10.0
10.0
17.0
21.7
15.8


350 nm
9.4
6.2
7.4
13.2
13.3
11.2


380 nm
7.6
3.9
5.1
9.5
8.2
9.1


800 nm
0.9
0.2
0.3
0.7
0.6
1.1


1200 nm 
0.6
0.5
0.7
0.7
1.2
0.7




















TABLE 29







No. 96
No. 97
No. 98




















Composition
SiO2
67.3
67.3
67.2


[wt %]
Al2O3
22.3
22.3
22.3



B2O3
0.00
0.00
0.00



P2O5
0.40
0.40
0.40



Li2O
3.68
3.68
3.68



Na2O
0.67
0.67
0.67



K2O
0.01
0.01
0.01



MgO
1.25
1.25
1.25



CaO
0.024
0.024
0.024



SrO
0.00
0.00
0.00



BaO
0.00
0.00
0.00



ZnO
0.00
0.00
0.00



TiO2
0.0080
0.0080
0.0080



SnO2
1.13
1.13
1.13



ZrO2
2.62
2.62
2.62



Fe2O3
0.0050
0.0050
0.0050



Y2O3
0.00
0.00
0.00



MoO3
0.0000
0.0000
0.0000



Sb2O3
0.65
0.00
0.30



As2O3
0.00
0.65
0.38


Composition
Pt
1.50
1.50
1.50


[ppm]
Rh
0.02
0.02
0.02



Pt + Rh
1.52
1.52
1.52










Sn/(P + B + Zr + Ti + Sn)
0.272
0.272
0.272


Al/(Zr + Sn)
5.95
5.95
5.95


(Mg + Zn)/Li
0.340
0.340
0.340


Sn/(Zr + Sn)
0.30
0.30
0.30


(Si + Al)/Li
24.33
24.33
24.33


(Si + Al)/Sn
79.25
79.25
79.22


(Li + Na + K)/Zr
1.66
1.66
1.66


Ti/Zr
0.0031
0.0031
0.0031


Ti/(Ti + Fe)
0.615
0.615
0.615


Na + K + Ca + Sr + Ba
1.95
1.95
1.95


(Mg + Ca + Sr + Ba)/Zr
0.49
0.49
0.49


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.29
0.29
0.29


Al/(Li + (1/2*(Mg + Zn))
6.68
6.68
6.68


Sb + As
0.65
0.65
0.68







Before crystallization












Transmittance[%]
200
nm
Not measured
Not measured
Not measured


3 mm thickness
250
nm
Not measured
Not measured
Not measured



300
nm
Not measured
Not measured
Not measured



325
nm
Not measured
Not measured
Not measured



350
nm
Not measured
Not measured
Not measured



380
nm
Not measured
Not measured
Not measured



800
nm
Not measured
Not measured
Not measured



1200
nm
Not measured
Not measured
Not measured










L*
Not measured
Not measured
Not measured


a*
Not measured
Not measured
Not measured


b*
Not measured
Not measured
Not measured











Low temperature
Strain point[° C.]
Not measured
Not measured
Not measured


viscosity
Annealing point[° C.]
Not measured
Not measured
Not measured



Glass transition point[° C.]
Not measured
Not measured
Not measured


High temperature
10{circumflex over ( )}4[° C.]
Not measured
Not measured
Not measured


viscosity
10{circumflex over ( )}3[° C.]
Not measured
Not measured
Not measured



10{circumflex over ( )}2.5[° C.]
Not measured
Not measured
Not measured



10{circumflex over ( )}2[° C.]
Not measured
Not measured
Not measured










Liquidus temperature[° C.]
Not measured
Not measured
Not measured


Liquidus viscosity[—]
Not measured
Not measured
Not measured












α[×10−7/° C.]
30-380°
C.
Not measured
Not measured
Not measured










Density[g/cm3]
Not measured
Not measured
Not measured


β -OH[/mm]
0.001
1.12
0.69




















TABLE 30







No. 90
No. 91
No. 92
















After crystallization










Crystallization condition
780° C.-3 h
780° C.-3 h
780° C.-3 h















890° C.-1 h
890° C.-1 h
890° C.-0.25 h


Transmittance[%]
200
nm
30.9
33
35.2


3 mm thickness
250
nm
14.8
11.9
13.1



300
nm
24.2
16.8
18.7



325
nm
63.5
59.4
59.4



350
nm
78.3
79
77.8



380
nm
83.4
86
85.1



800
nm
90.9
91
91.2



1200
nm
91.3
91
90.6










L*
95.6
96.2
96.1


a*
0.1
0.0
−0.1


b*
1.5
0.8
1.0


Precipitated crystal
β -Q
β -Q
β -Q


Average crystallite size[nm]
41
Not measured
Not measured












α[×10−7/° C.]
30-380°
C.
−1.3
Not measured
Not measured


α[×10−7/° C.]
30-750°
C.
−0.2
Not measured
Not measured










Density[g/cm3]
2.508
2.508
2.504


Young's Modulus[GPa]
Not measured
Not measured
Not measured


Modulus of rigidity [GPa]
Not measured
Not measured
Not measured


Poisson's ratio
Not measured
Not measured
Not measured


Appearance
Colorless and
Colorless and
Colorless and











transparent
transparent
transparent







Rate of change before and after crystallization[%]










200 nm
63.1
53.9
51.0


250 nm
38.7
43.2
37.6


300 nm
35.6
40.9
34.3


325 nm
13.4
10.0
10.0


350 nm
9.4
6.2
7.4


380 nm
7.6
3.9
5.1


800 nm
0.9
0.2
0.3


1200 nm 
0.6
0.5
0.7























TABLE 31







No. 99
No. 100
No. 101
No. 102
No. 103
No.104






















Composition
SiO2
67.30
67.80
67.10
67.70
66.60
67.10


[wt %]
Al2O3
22.80
22.20
22.80
22.30
22.80
22.70



B2O3
0.00
0.00
0.00
0.00
0.00
0.00



P2O5
0.43
0.40
0.41
0.40
0.41
0.41



Li2O
3.62
3.67
3.68
3.67
3.66
3.67



Na2O
0.69
0.70
0.69
0.69
0.71
0.70



K2O
0.00
0.35
0.00
0.00
0.00
0.00



MgO
1.28
1.23
1.28
1.23
1.28
1.28



CaO
0.05
0.05
0.24
0.05
0.05
0.05



SrO
0.001
0.001
0.001
0.460
0.006
0.001



BaO
0.001
0.001
0.001
0.006
0.760
0.001



ZnO
0.001
0.001
0.001
0.001
0.001
0.001



TiO2
0.0150
0.0150
0.0160
0.0160
0.0170
0.0140



SnO2
1.16
1.14
1.17
1.14
1.16
1.16



ZrO2
2.51
2.47
2.45
2.48
2.44
2.48



Fe2O3
0.0100
0.0100
0.0100
0.0100
0.0100
0.0100



Y2O3
0.00
0.00
0.00
0.00
0.00
0.00



MoO3
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000



Sb2O3
0.00
0.00
0.00
0.00
0.00
0.00



As2O3
0.00
0.00
0.00
0.00
0.00
0.00


Composition
Pt
0.02
0.02
0.02
0.02
0.02
0.02


[ppm]
Rh
0.01
0.01
0.01
0.01
0.01
0.01



Pt + Rh
0.03
0.03
0.03
0.03
0.03
0.03













Sn/(P + B + Zr + Ti + Sn)
0.282
0.283
0.289
0.282
0.288
0.285


Al/(Zr + Sn)
6.21
6.15
6.30
6.16
6.33
6.24


(Mg + Zn)/Li
0.354
0.335
0.348
0.335
0.350
0.349


Sn/(Zr + Sn)
0.32
0.32
0.32
0.31
0.32
0.32


(Si + Al)/Li
24.89
24.52
24.43
24.52
24.43
24.47


(Si + Al)/Sn
77.67
78.95
76.84
78.95
77.07
77.41


(Li + Na + K)/Zr
1.72
1.91
1.79
1.76
1.79
1.76


Ti/Zr
0.0060
0.0061
0.0065
0.0065
0.0070
0.0056


Ti/(Ti + Fe)
0.600
0.600
0.615
0.615
0.630
0.583


Na + K + Ca + Sr + Ba
0.74
1.10
0.94
1.21
1.53
0.75


(Mg + Ca + Sr + Ba)/Zr
0.53
0.52
0.62
0.70
0.86
0.54


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.31
0.27
0.35
0.40
0.48
0.30


Al/(Li + (½*(Mg + Zn))
6.94
6.66
6.84
6.69
6.87
6.83


Sb + As
0.00
0.00
0.00
0.00
0.00
0.00







Brfore crystallization














Transmittance[%]
200 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


3 mm thickness
250 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



300 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



325 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



350 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



380 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



800 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



1200 nm 
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured













L*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


a*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


b*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured














Low temperature
Strain point[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


viscosity
Annealing point[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



Glass transition point[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


High temperature
10{circumflex over ( )}4[° C.]
1349
Not measured
Not measured
Not measured
Not measured
Not measured


viscosity
10{circumflex over ( )}3[° C.]
1531
Not measured
Not measured
Not measured
Not measured
Not measured



10{circumflex over ( )}2.5[° C.]  
1644
Not measured
Not measured
Not measured
Not measured
Not measured



10{circumflex over ( )}2[° C.]
1777
Not measured
Not measured
Not measured
Not measured
Not measured













Liquidus temperature[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Liquidus viscosity[—]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured














α[×10−7/° C.]
30-380° C.
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured













Density[g/cm3]
2.435
2.428
2.437
2.439
2.447
2.440


β-OH[/mm]
0.43
0.37
0.40
0.40
0.40
0.42























TABLE 32









No. 99
No. 100
No. 101
No. 102
No. 103
No. 104









Crystallization condition
















765° C.-3 h
765° C.-3 h
765° C.-3 h
765° C.-3 h
765° C.-3 h
765° C.-3 h




890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h










After crystallization














Transmittance[%]
200 nm
47.3
47.3
47.3
47.3
47.3
47.3


3 mm thickness
250 nm
20.1
21.8
19.7
20.5
20.7
19.3



300 nm
19.5
20.8
19.3
20.1
20.0
18.1



325 nm
58.5
53.5
57.1
58.2
57.6
56.8



350 nm
77.4
70.3
75.9
76.5
76.0
76.5



380 nm
84.5
78.2
83.3
83.6
83.3
84.1



800 nm
91.0
90.7
90.9
90.9
90.9
91.0



1200 nm 
90.7
90.5
90.6
90.5
90.6
90.7













L*
95.9
95.1
95.8
95.8
95.7
95.9


a*
−0.1
−0.2
−0.1
−0.1
−0.1
−0.1


b*
1.2
2.6
1.4
1.4
1.4
1.2


Precipitated crystal
β-Q
Not measured
Not measured
Not measured
Not measured
Not measured


Average crystallite size[nm]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured














α[×10−7/° C.]
30-380° C.
−2.4
0.5
−0.4
0.1
−1.4
−1.7


α[×10−7/° C.]
30-750° C.
−0.7
1.9
0.6
1.4
0.4
−0.1













Density[g/cm3]
2.511
2.499
2.510
2.514
2.514
2.513


Young's Modulus [GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Modulus of rigidity [GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Poisson's ratio
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Appearance
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and



transparent
transparent
transparent
transparent
transparent
transparent







Rate of change before and after crystallization[%]













200 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


250 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


300 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


325 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


350 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


380 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


800 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


1200 nm 
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured























TABLE 33







No. 105
No. 106
No. 107
No. 108
No. 109
No. 110






















Composition
SiO2
67.10
67.40
67.60
67.50
67.00
68.23


[wt %]
Al2O3
22.20
22.60
22.50
23.00
22.60
22.41



B2O3
0.00
0.00
0.00
0.00
0.00
0.00



P2O5
0.40
0.41
0.41
0.41
0.96
0.00



Li2O
3.65
3.67
3.67
3.69
3.66
3.70



Na2O
0.67
0.69
0.93
0.45
0.69
0.67



K2O
0.004
0.004
0.004
0.008
0.003
0.003



MgO
1.24
1.27
1.25
1.28
1.27
1.26



CaO
0.05
0.05
0.05
0.05
0.05
0.05



SrO
0.001
0.001
0.001
0.001
0.001
0.001



BaO
0.001
0.001
0.001
0.001
0.001
0.001



ZnO
0.00
0.00
0.00
0.00
0.00
0.00



TiO2
0.0150
0.3200
0.0150
0.0160
0.0150
0.0150



SnO2
1.14
1.15
1.14
1.16
1.15
1.14



ZrO2
2.45
2.40
2.43
2.41
2.46
2.48



Fe2O3
0.0100
0.0100
0.0100
0.0100
0.0100
0.0100



Y2O3
0.89
0.00
0.00
0.00
0.00
0.00



MoO3
0.00000
0.00000
0.00000
0.00000
0.00000
0.00000



Sb2O3
0.00
0.00
0.00
0.00
0.00
0.00



As2O3
0.00
0.00
0.00
0.00
0.00
0.00


Composition
Pt
0.02
0.02
0.02
0.02
0.02
0.02


[ppm]
Rh
0.01
0.01
0.01
0.01
0.01
0.01



Pt + Rh
0.03
0.03
0.03
0.03
0.03
0.03













Sn/(P + B + Zr + Ti + Sn)
0.285
0.269
0.285
0.290
0.251
0.313


Al/(Zr + Sn)
6.18
6.37
6.30
6.44
6.26
6.20


(Mg + Zn)/Li
0.340
0.346
0.341
0.347
0.347
0.340


Sn/(Zr + Sn)
0.32
0.32
0.32
0.32
0.32
0.31


(Si + Al)/Li
24.47
24.52
24.55
24.53
24.48
24.51


(Si + Al)/Sn
78.33
78.26
79.04
78.02
77.91
79.82


(Li + Na + K)/Zr
1.76
1.82
1.89
1.72
1.77
1.76


Ti/Zr
0.0061
0.1333
0.0062
0.0066
0.0061
0.0060


Ti/(Ti + Fe)
0.600
0.970
0.600
0.615
0.600
0.600


Na + K + Ca + Sr + Ba
0.72
0.74
0.98
0.51
0.74
0.72


(Mg + Ca + Sr + Ba)/Zr
0.53
0.55
0.53
0.55
0.54
0.53


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.30
0.30
0.28
0.32
0.30
0.30


Al/(Li + (½*(Mg + Zn))
6.70
6.79
6.76
6.87
6.81
6.69


Sb + As
0.00
0.00
0.00
0.00
0.00
0.00







Before crystallization














Transmittance[%]
200 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


3 mm thickness
250 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



300 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



325 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



350 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



380 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



800 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



1200 nm 
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured













L*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


a*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


b*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured














Low temperature
Strain point[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


viscosity
Annealing point[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



Glass transition point
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



[° C.]








High temperature
10{circumflex over ( )}4[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


viscosity
10{circumflex over ( )}3[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



10{circumflex over ( )}2.5[° C.]  
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



10{circumflex over ( )}2[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured













Liquidus temperature[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Liquidus viscosity[—]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured














α[×10−7/° C.]
30-380° C.
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured













Density[g/cm3]
2.448
2.433
2.433
2.433
2.431
2.434


β-OH[/mm]
0.40
0.39
0.40
0.37
0.41
0.37























TABLE 34









No. 105
No. 106
No. 107
No. 108
No. 109
No. 110











Crystallization condition
















765° C.-3 h
765° C.-3 h
765° C.-3 h
765° C.-3 h
765° C.-3 h
765° C.-3 h




890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h










After crystallization














Transmittance[%]
200 nm
47.3
47.3
47.3
47.3
47.3
47.3


3 mm thickness
250 nm
23.7
4.1
20.7
17.4
18.5
18.8



300 nm
21.0
1.9
22.1
15.1
19.5
17.7



325 nm
49.3
8.9
57.7
50.0
58.5
52.1



350 nm
65.7
44.7
74.1
71.9
77.2
71.9



380 nm
74.2
73.4
81.1
81.4
84.5
80.2



800 nm
89.2
91.1
90.8
91.0
91.1
90.5



1200 nm 
90.4
90.7
90.5
90.6
90.6
90.5













L*
93.9
96.0
95.4
95.7
95.9
95.2


a*
−0.1
−0.3
−0.1
−0.2
−0.1
−0.1


b*
3.1
1.5
2.0
1.7
1.2
2.0


Precipitated crystal
β-Q
Not measured
Not measured
Not measured
Not measured
Not measured


Average crystallite size[nm]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured














α[×10−7/° C.]
30-380° C.
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


α[×10−7/° C.]
30-750° C.
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured













Density[g/cm3]
2.520
2.513
2.503
2.514
2.508
2.505


Young's Modulus [ GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Modulus of rigidity [GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Poisson's ratio
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Appearance
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and



transparent
transparent
transparent
transparent
transparent
transparent







Rate of change before and after crystallization[%]













200 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


250 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


300 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


325 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


350 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


380 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


800 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


1200 nm 
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured























TABLE 35







No. 111
No. 112
No. 113
No. 114
No. 115
No. 116






















Composition
SiO2
68.23
67.56
68.35
67.85
68.06
67.93


[wt %]
Al2O3
22.41
22.19
22.45
22.28
22.35
22.31



B2O3
0.00
0.00
0.00
0.00
0.00
0.00



P2O5
0.00
0.40
0.40
0.40
0.40
0.40



Li2O
3.70
3.66
3.70
3.68
3.69
3.68



Na2O
0.67
0.67
0.67
0.67
0.67
0.67



K2O
0.003
0.003
0.003
0.003
0.003
0.003



MgO
1.26
1.24
1.26
1.40
1.10
1.25



CaO
0.05
0.05
0.05
0.05
0.05
0.05



SrO
0.001
0.001
0.001
0.001
0.001
0.001



BaO
0.001
0.001
0.001
0.001
0.001
0.001



ZnO
0.001
0.001
0.001
0.001
0.001
0.001



TiO2
0.0150
0.0150
0.0150
0.0150
0.0150
0.0150



SnO2
1.14
1.70
0.55
1.13
1.13
1.13



ZrO2
2.48
2.46
2.49
2.47
2.47
2.47



Fe2O3
0.0100
0.0100
0.0100
0.0100
0.0100
0.0100



Y2O3
0.00
0.00
0.00
0.00
0.00
0.00



MoO3
0.00000
0.00000
0.00000
0.00000
0.00000
0.00000



Sb2O3
0.00
0.00
0.00
0.00
0.00
0.00



As2O3
0.00
0.00
0.00
0.00
0.00
0.00


Composition
Pt
0.02
0.02
0.02
0.02
0.02
0.02


[ppm]
Rh
0.01
0.01
0.01
0.01
0.01
0.01



Pt + Rh
0.03
0.03
0.03
0.03
0.03
0.03













Sn/(P + B + Zr + Ti + Sn)
0.313
0.373
0.160
0.281
0.282
0.282


Al/(Zr + Sn)
6.20
5.33
7.39
6.20
6.20
6.20


(Mg + Zn)/Li
0.340
0.340
0.340
0.382
0.298
0.340


Sn/(Zr + Sn)
0.31
0.41
0.18
0.31
0.31
0.31


(Si + Al)/Li
24.51
24.51
24.51
24.51
24.51
24.51


(Si + Al)/Sn
79.82
52.69
164.59
79.82
79.82
79.82


(Li + Na + K)/Zr
1.76
1.76
1.76
1.76
1.76
1.76


Ti/Zr
0.0060
0.0061
0.0060
0.0061
0.0061
0.0061


Ti/(Ti + Fe)
0.600
0.600
0.600
0.600
0.600
0.600


Na + K + Ca + Sr + Ba
0.72
0.72
0.72
0.72
0.72
0.72


(Mg + Ca + Sr + Ba)/Zr
0.53
0.53
0.53
0.59
0.46
0.53


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.30
0.30
0.30
0.33
0.26
0.30


Al/(Li + (½*(Mg + Zn))
6.69
6.68
6.69
6.76
6.61
6.69


Sb + As
0.00
0.00
0.00
0.00
0.00
0.00







Before crystallization














Transmittance[%]
200 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


3 mm thickness
250 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



300 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



325 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



350 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



380 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



800 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



1200 nm 
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured













L*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


a*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


b*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured














Low temperature
Strain point[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


viscosity
Annealing point[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



Glass transition point[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


High temperature
10{circumflex over ( )}4[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


viscosity
10{circumflex over ( )}3[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



10{circumflex over ( )}2.5[° C.]  
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



10{circumflex over ( )}2[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured













Liquidus temperature[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Liquidus viscosity[—]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured














α[×10−7/° C.]
30-380° C.
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured













Density[g/cm3]
2.434
2.444
2.421
2.435
2.431
2.435


β-OH[/mm]
0.37
0.38
0.40
0.43
0.37
0.40























TABLE 36









No. 111
No. 112
No. 113
No. 114
No. 115
No. 116











Crystallization condition
















765° C.-3 h
765° C.-3 h
765° C.-3 h
765° C.-3 h
765° C.-3 h
765° C.-3 h




890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h










After crystallization














Transmittance[%]
200 nm
47.3
47.3
47.3
47.3
47.3
47.3


3 mm thickness
250 nm
18.8
17.0
34.0
17.8
20.0
14.7



300 nm
17.7
12.8
20.2
17.9
19.9
11.7



325 nm
52.1
44.7
26.2
55.8
58.6
51.2



350 nm
71.9
70.3
36.8
75.3
77.0
73.7



380 nm
80.2
81.0
44.6
83.1
84.1
83.2



800 nm
90.5
90.8
56.1
90.9
91.0
91.0



1200 nm 
90.5
90.5
67.8
90.6
90.7
90.7













L*
95.2
95.6
75.8
95.7
95.9
95.9


a*
−0.1
−0.2
0.6
−0.1
−0.1
−0.1


b*
2.0
1.7
1.9
1.4
1.3
1.3


Precipitated crystal
β-Q
Not measured
Not measured
Not measured
Not measured
Not measured


Average crystallite size[nm]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured














α[×10−7/° C.]
30-380° C.
Not measured
Not measured
Not measured
−0.1
−3.0
Not measured


α[×10−7/° C.]
30-750° C.
Not measured
Not measured
Not measured
1.4
−1.7
Not measured













Density[g/cm3]
2.505
2.528
2.493
2.510
2.508
2.510


Young's Modulus [ GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Modulus of rigidity [GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Poisson's ratio
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Appearance
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and



transparent
transparent
transparent
transparent
transparent
transparent







Rate of change before and after crystallization[%]













200 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


250 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


300 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


325 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


350 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


380 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


800 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


1200 nm 
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured





















TABLE 37







No. 117
No. 118
No. 119
No. 120





















Composition
SiO2
67.64
68.27
69.04
70.17


[wt %]
Al2O3
22.22
22.42
21.07
19.79



B2O3
0.00
0.00
0.00
0.00



P2O5
0.40
0.40
0.41
0.41



Li2O
4.04
3.54
3.74
3.80



Na2O
0.67
0.67
0.68
0.69



K2O
0.00
0.00
0.00
0.00



MgO
1.25
1.26
1.27
1.29



CaO
0.05
0.05
0.05
0.05



SrO
0.00
0.00
0.00
0.00



BaO
0.00
0.00
0.00
0.00



ZnO
0.00
0.00
0.00
0.00



TiO2
0.0150
0.0150
0.0150
0.0150



SnO2
1.13
1.14
1.15
1.17



ZrO2
2.46
2.48
2.51
2.56



Fe2O3
0.0100
0.0100
0.0100
0.0100



Y2O3
0.00
0.00
0.00
0.00



MoO3
0.00000
0.00000
0.00000
0.00000



Sb2O3
0.00
0.00
0.00
0.00



As2O3
0.00
0.00
0.00
0.00


Composition
Pt
0.02
0.02
0.02
0.02


[ppm]
Rh
0.01
0.01
0.01
0.01



Pt + Rh
0.03
0.03
0.03
0.03











Sn/(P + B + Zr + Ti + Sn)
0.282
0.282
0.281
0.281


Al/(Zr + Sn)
6.20
6.20
5.76
5.32


(Mg + Zn)/Li
0.308
0.355
0.340
0.340


Sn/(Zr + Sn)
0.31
0.31
0.31
0.31


(Si + Al)/Li
22.24
25.62
24.08
23.65


(Si + Al)/Sn
79.82
79.82
78.43
77.03


(Li + Na + K)/Zr
1.92
1.70
1.76
1.76


Ti/Zr
0.0061
0.0060
0.0060
0.0059


Ti/(Ti + Fe)
0.600
0.600
0.600
0.600


Na + K + Ca + Sr + Ba
0.72
0.72
0.73
0.74


(Mg + Ca + Sr + Ba)/Zr
0.53
0.53
0.52
0.52


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.27
0.31
0.30
0.30


Al/(Li + (1/2*(Mg + Zn))
6.12
6.96
6.27
5.85


Sb + As
0.00
0.00
0.00
0.00







Before crystallization













Transmittance[%]
200
nm
Not measured
Not measured
Not measured
Not measured


3 mm thickness
250
nm
Not measured
Not measured
Not measured
Not measured



300
nm
Not measured
Not measured
Not measured
Not measured



325
nm
Not measured
Not measured
Not measured
Not measured



350
nm
Not measured
Not measured
Not measured
Not measured



380
nm
Not measured
Not measured
Not measured
Not measured



800
nm
Not measured
Not measured
Not measured
Not measured



1200
nm
Not measured
Not measured
Not measured
Not measured











L*
Not measured
Not measured
Not measured
Not measured


a*
Not measured
Not measured
Not measured
Not measured


b*
Not measured
Not measured
Not measured
Not measured












Low temperature
Strain point[° C.]
Not measured
Not measured
Not measured
Not measured


viscosity
Annealing point[° C.]
Not measured
Not measured
Not measured
Not measured



Glass transition point[° C.]
Not measured
Not measured
Not measured
Not measured


High temperature
10{circumflex over ( )}4[° C.]
Not measured
Not measured
Not measured
Not measured


viscosity
10{circumflex over ( )}3[° C.]
Not measured
Not measured
Not measured
Not measured



10{circumflex over ( )}2.5[° C.]
Not measured
Not measured
Not measured
Not measured



10{circumflex over ( )}2[° C.]
Not measured
Not measured
Not measured
Not measured











Liquidus temperature[° C.]
Not measured
Not measured
Not measured
Not measured


Liquidus viscosity[—]
Not measured
Not measured
Not measured
Not measured













α[×10−7/° C.]
30-380°
C.
Not measured
Not measured
Not measured
Not measured











Density[g/cm3]
2.432
2.442
2.426
2.417


β -OH[/mm]
0.40
0.37
0.37
0.38





















TABLE 38







No. 117
No. 118
No. 119
No. 120
















After crystallization











Crystallization condition
765° C.-3 h
765° C.-3 h
765° C.-3 h
765° C.-3 h
















890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h


Transmittance[%]
200
nm
47.3
47.3
47.3
47.3


3 mm thickness
250
nm
15.2
22.2
20.9
16.0



300
nm
14.0
20.7
19.4
12.6



325
nm
49.1
53.2
57.3
48.3



350
nm
71.4
71.0
77.4
74.2



380
nm
80.9
79.1
85.2
84.6



800
nm
90.6
90.4
91.0
91.2



1200
nm
90.4
90.4
90.5
90.9











L*
95.4
95.1
96.0
96.1


a*
−0.1
−0.1
−0.1
−0.1


b*
1.8
2.2
1.0
1.0


Precipitated crystal
Not measured
Not measured
Not measured
Not measured


Average crystallite size[nm]
Not measured
Not measured
Not measured
Not measured













α[×10−7/° C.]
30-380°
C.
−1.7
−0.6
−0.7
−0.6


α[×10−7/° C.]
30-750°
C.
0.3
0.5
0.6
0.1











Density[g/cm3]
2.501
2.510
2.506
2.502


Young's Modulus [GPa]
Not measured
Not measured
Not measured
Not measured


Modulus of rigidity [GPa]
Not measured
Not measured
Not measured
Not measured


Poisson's ratio
Not measured
Not measured
Not measured
Not measured


Appearance
Colorless and
Colorless and
Colorless and
Colorless and












transparent
transparent
transparent
transparent







Rate of change before and after crystallization[%]











200 nm
Not measured
Not measured
Not measured
Not measured


250 nm
Not measured
Not measured
Not measured
Not measured


300 nm
Not measured
Not measured
Not measured
Not measured


325 nm
Not measured
Not measured
Not measured
Not measured


350 nm
Not measured
Not measured
Not measured
Not measured


380 nm
Not measured
Not measured
Not measured
Not measured


800 nm
Not measured
Not measured
Not measured
Not measured


1200 nm 
Not measured
Not measured
Not measured
Not measured






















TABLE 39







No. 121
No. 122
No. 123
No. 124
No. 125





















Composition
SiO2
68.50
69.60
68.11
69.77
69.77


[wt %]
Al2O3
21.70
20.44
22.37
20.48
20.48



B2O3
0.00
0.00
0.00
0.00
0.00



P2O5
0.40
0.41
0.40
0.41
0.41



Li2O
3.71
3.77
3.46
3.54
3.54



Na2O
0.68
0.69
0.67
0.69
0.69



K2O
0.00
0.00
0.00
0.00
0.00



MgO
1.26
1.28
1.25
1.28
1.28



CaO
0.05
0.05
0.05
0.05
0.05



SrO
0.00
0.00
0.00
0.00
0.00



BaO
0.00
0.00
0.00
0.00
0.00



ZnO
0.00
0.00
0.00
0.00
0.00



TiO2
0.0150
0.0150
0.0150
0.0150
0.0150



SnO2
1.14
1.16
1.13
1.16
1.16



ZrO2
2.49
2.53
2.48
2.44
2.54



Fe2O3
0.0100
0.0100
0.0100
0.0100
0.0100



Y2O3
0.00
0.00
0.00
0.00
0.00



MoO3
0.00000
0.00000
0.00000
0.00000
0.00000



Sb2O3
0.00
0.00
0.00
0.00
0.00



As2O3
0.00
0.00
0.00
0.00
0.00


Composition
Pt
0.02
0.02
0.02
0.02
0.02


[ppm]
Rh
0.01
0.01
0.01
0.01
0.01



Pt + Rh
0.03
0.03
0.03
0.03
0.03












Sn/(P + B + Zr + Ti + Sn)
0.281
0.281
0.282
0.288
0.281


Al/(Zr + Sn)
5.98
5.54
6.20
5.69
5.54


(Mg + Zn)/Li
0.340
0.340
0.363
0.363
0.363


Sn/(Zr + Sn)
0.31
0.31
0.31
0.32
0.31


(Si + Al)/Li
24.30
23.87
26.15
25.47
25.47


(Si + Al)/Sn
79.13
77.73
79.82
77.73
77.73


(Li + Na + K)/Zr
1.76
1.76
1.67
1.74
1.67


Ti/Zr
0.0060
0.0059
0.0061
0.0061
0.0059


Ti/(Ti + Fe)
0.600
0.600
0.600
0.600
0.600


Na + K + Ca + Sr + Ba
0.73
0.74
0.72
0.74
0.74


(Mg + Ca + Sr + Ba)/Zr
0.53
0.52
0.53
0.55
0.52


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.30
0.30
0.31
0.31
0.31


Al/(Li + (½*(Mg + Zn))
6.48
6.06
7.09
6.42
6.42


Sb + As
0.00
0.00
0.00
0.00
0.00







Before crystallization













Transmittance[%]
200 nm
Not measured
Not measured
Not measured
Not measured
Not measured


3 mm thickness
250 nm
Not measured
Not measured
Not measured
Not measured
Not measured



300 nm
Not measured
Not measured
Not measured
Not measured
Not measured



325 nm
Not measured
Not measured
Not measured
Not measured
Not measured



350 nm
Not measured
Not measured
Not measured
Not measured
Not measured



380 nm
Not measured
Not measured
Not measured
Not measured
Not measured



800 nm
Not measured
Not measured
Not measured
Not measured
Not measured



1200 nm 
Not measured
Not measured
Not measured
Not measured
Not measured












L*
Not measured
Not measured
Not measured
Not measured
Not measured


a*
Not measured
Not measured
Not measured
Not measured
Not measured


b*
Not measured
Not measured
Not measured
Not measured
Not measured













Low temperature
Strain point[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured


viscosity
Annealing point[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured



Glass transition point[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured


High temperature
10{circumflex over ( )}4[° C.]
Not measured
1369
1367
1380
Not measured


viscosity
10{circumflex over ( )}3[° C.]
Not measured
1557
1544
1567
Not measured



10{circumflex over ( )}2.5[° C.]  
Not measured
1676
1658
1684
Not measured



10{circumflex over ( )}2[° C.]
Not measured
1819
1794
1822
Not measured












Liquidus temperature[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured


Liquidus viscosity[—]
Not measured
Not measured
Not measured
Not measured
Not measured













α[×10−7/° C.]
30-380° C.
Not measured
Not measured
Not measured
Not measured
Not measured












Density[g/cm3]
2.428
2.421
2.434
2.418
2.420


β-OH[/mm]
0.40
0.40
0.37
0.37
0.38






















TABLE 40









No. 121
No. 122
No. 123
No. 124
No. 125











Crystallization condition















765° C.-3 h
765° C.-3 h
765° C.-3 h
765° C.-3 h
765° C.-3 h




890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h










After crystallization













Transmittance[%]
200 nm
47.3
47.3
47.3
47.3
47.3


3 mm thickness
250 nm
19.7
19.1
21.0
17.3
18.0



300 nm
19.9
16.0
22.5
17.5
17.7



325 nm
58.2
53.2
61.8
57.2
56.6



350 nm
77.3
76.2
79.0
78.5
77.9



380 nm
84.7
85.3
85.4
86.4
85.9



800 nm
91.0
91.1
91.0
91.2
91.2



1200 nm 
90.5
90.7
90.5
90.6
90.5












L*
95.9
96.1
96.0
96.2
96.2


a*
−0.1
−0.1
−0.1
−0.1
−0.1


b*
1.1
0.9
1.0
0.7
0.8


Precipitated crystal
β-Q
β-Q
β-Q
β-Q
β-Q


Average crystallite size[nm]
Not measured
Not measured
Not measured
Not measured
Not measured













α[×10−7/° C.]
30-380° C.
−1.1
−0.6
−0.8
−0.3
0.2


α[×10−7/° C.]
30-750° C.
0.3
0.7
0.2
0.7
0.7












Density[g/cm3]
2.507
2.506
2.511
2.508
2.509


Young's Modulus [GPa]
Not measured
Not measured
Not measured
Not measured
Not measured


Modulus of rigidity [GPa]
Not measured
Not measured
Not measured
Not measured
Not measured


Poisson's ratio
Not measured
Not measured
Not measured
Not measured
Not measured


Appearance
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and



transparent
transparent
transparent
transparent
transparent







Rate of change before and after crystallization[%]












200 nm
Not measured
Not measured
Not measured
Not measured
Not measured


250 nm
Not measured
Not measured
Not measured
Not measured
Not measured


300 nm
Not measured
Not measured
Not measured
Not measured
Not measured


325 nm
Not measured
Not measured
Not measured
Not measured
Not measured


350 nm
Not measured
Not measured
Not measured
Not measured
Not measured


380 nm
Not measured
Not measured
Not measured
Not measured
Not measured


800 nm
Not measured
Not measured
Not measured
Not measured
Not measured


1200 nm 
Not measured
Not measured
Not measured
Not measured
Not measured























TABLE 41







No. 126
No. 127
No. 128
No. 129
No. 130
No. 131






















Composition
SiO2
67.95
67.95
67.96
69.18
69.60
69.05


[wt %]
Al2O3
22.32
22.32
22.32
20.91
21.04
20.87



B2O3
0.00
0.00
0.00
0.00
0.00
0.00



P2O5
0.40
0.40
0.40
0.42
0.42
0.42



Li2O
3.68
3.68
3.68
3.62
3.64
3.61



Na2O
0.67
0.67
0.67
0.70
0.71
0.70



K2O
0.00
0.00
0.00
0.00
0.00
0.00



MgO
1.25
1.25
1.25
1.31
1.32
1.31



CaO
0.05
0.05
0.05
0.05
0.05
0.05



SrO
0.00
0.00
0.00
0.00
0.00
0.00



BaO
0.00
0.00
0.00
0.00
0.00
0.00



ZnO
0.00
0.00
0.00
0.00
0.00
0.00



TiO2
0.0150
0.0150
0.0150
0.0153
0.0154
0.0153



SnO2
1.13
1.13
1.13
1.19
0.59
0.58



ZrO2
2.47
2.47
2.47
2.59
2.61
3.40



Fe2O3
0.0100
0.0100
0.0100
0.0102
0.0102
0.0102



Y2O3
0.00
0.00
0.00
0.00
0.0005
0.0001



MoO3
0.0056
0.0006
0.0003
0.0000
0.0001
0.0000



Sb2O3
0.00
0.00
0.00
0.00
0.00
0.00



As2O3
0.00
0.00
0.00
0.00
0.00
0.00


Composition
Pt
0.02
0.02
0.02
0.02
0.02
0.02


[ppm]
Rh
0.01
0.01
0.01
0.01
0.01
0.01



Pt + Rh
0.03
0.03
0.03
0.03
0.03
0.03













Sn/(P + B + Zr + Ti + Sn)
0.282
0.282
0.282
0.281
0.162
0.132


Al/(Zr + Sn)
6.20
6.20
6.20
5.54
6.58
5.24


(Mg + Zn)/Li
0.340
0.340
0.340
0.363
0.363
0.363


Sn/(Zr + Sn)
0.31
0.31
0.31
0.31
0.18
0.15


(Si + Al)/Li
24.51
24.51
24.51
24.90
24.90
24.90


(Si + Al)/Sn
79.82
79.82
79.82
76.01
153.93
153.93


(Li + Na + K)/Zr
1.76
1.76
1.76
1.67
1.67
1.27


Ti/Zr
0.0061
0.0061
0.0061
0.0059
0.0059
0.0045


Ti/(Ti + Fe)
0.600
0.600
0.600
0.600
0.601
0.600


Na + K + Ca + Sr + Ba
0.72
0.72
0.72
0.75
0.76
0.75


(Mg + Ca + Sr + Ba)/Zr
0.53
0.53
0.53
0.52
0.52
0.40


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.30
0.30
0.30
0.31
0.31
0.31


Al/(Li + (½*(Mg + Zn))
6.69
6.69
6.69
6.44
6.44
6.43


Sb + As
0.00
0.00
0.00
0.00
0.00
0.00







Before crystallization














Transmittance[%]
200 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


3 mm thickness
250 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



300 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



325 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



350 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



380 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



800 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



1200 nm 
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured













L*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


a*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


b*
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured














Low temperature
Strain point[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


viscosity
Annealing point[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



Glass transition point[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


High temperature
10{circumflex over ( )}4[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


viscosity
10{circumflex over ( )}3[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



10{circumflex over ( )}2.5[° C.]  
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured



10{circumflex over ( )}2[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured













Liquidus temperature[° C.]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Liquidus viscosity[—]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured














α[×10−7/° C.]
30-380° C.
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured













Density[g/cm3]
2.420
2.433
2.432
2.426
2.414
2.421


β-OH[/mm]
0.38
0.40
0.39
0.40
0.40
0.40























TABLE 42









No. 126
No. 127
No. 128
No. 129
No. 130
No. 131











Crystallization condition
















765° C.-3 h
765° C.-3 h
765° C.-3 h
765° C.-3 h
765° C.-3 h
765° C.-3 h




890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1 h
890° C.-1h










After crystallization














Transmittance[%]
200 nm
47.3
47.3
47.3
Not measured
Not measured
Not measured


3 mm thickness
250 nm
18.3
21.8
20.2
Not measured
Not measured
Not measured



300 nm
15.7
20.3
21.5
Not measured
Not measured
Not measured



325 nm
49.5
56.5
61.1
Not measured
Not measured
Not measured



350 nm
71.6
75.5
79.0
Not measured
Not measured
Not measured



380 nm
81.5
83.3
85.6
Not measured
Not measured
Not measured



800 nm
90.9
90.9
91.1
Not measured
Not measured
Not measured



1200 nm 
90.6
90.7
90.5
Not measured
Not measured
Not measured













L*
95.7
95.8
96.0
Not measured
Not measured
Not measured


a*
−0.2
−0.1
−0.1
Not measured
Not measured
Not measured


b*
1.6
1.3
1.0
Not measured
Not measured
Not measured


Precipitated crystal
β-Q
β-Q
β-Q
β-Q
β-Q
β-Q


Average crystallite size[nm]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured














α[×10−7/° C.]
30-380° C.
Not measured
Not measured
−1.4
Not measured
Not measured
Not measured


α[×10−7/° C.]
30-750° C.
Not measured
Not measured
−0.2
Not measured
Not measured
Not measured













Density[g/cm3]
2.509
2.509
2.510
Not measured
Not measured
Not measured


Young's Modulus [ GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Modulus of rigidity [GPa]
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Poisson's ratio
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


Appearance
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and
Colorless and



transparent
transparent
transparent
transparent
transparent
transparent







Rate of change before and after crystallization[%]













200 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


250 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


300 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


325 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


350 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


380 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


800 nm
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured


1200 nm 
Not measured
Not measured
Not measured
Not measured
Not measured
Not measured









Firstly, in order that the glass has the composition shown in each table, each raw material was mixed in the form of an oxide, a hydroxide, a carbonate, a nitrates, and the like to obtain a glass batch (composition shown in each table is an analytical value of an actually-prepared glass). The obtained glass batch was placed in a crucible containing platinum and rhodium, a strengthened platinum crucible containing no rhodium, a refractory crucible, or a quartz crucible, the glass batch was melted at 1600° C. for 4 to 100 hours, and then, the temperature was raised to 1650 to 1680° C. to melt the glass batch for 0.5 to 20 hours, the melted glass batch was formed into a roll having a thickness of 5 mm, the resultant glass roll was further subject to heat treatment at 700° C. for 30 minutes using an annealing furnace, and the temperature of the annealing furnace was decreased to room temperature at 100° C./h to obtain a crystallizable glass. Note that the melting was performed by an electro-melting method used broadly for the development of glass materials.


Note that, by using the glass composition of Sample No. 27, it was confirmed that it is possible to melt the glass compositions in contact with a liquid or a solid by laser irradiation. By feeding the gas from around the glass sample to cause the glass sample to be in a suspended state, it was also confirmed that the glass composition in contact with a gas only can be melt by laser. It was further confirmed that it is possible to form the glass composition, which was melt in advance using an electric furnace or the like, into a semi-spherical, spherical, fiber-like, powdered form by a press method, a redraw method, a spray method, and the like. It was further confirmed, by using the glass compositions of Samples No. 28 to 49, that it is possible to perform the melting in a continuous furnace in which burner heating and energizing heating are combined, and confirmed that it is possible to form the glass composition into blocks, flakes, hollow shapes, and the like, by a roll method, a film method, and a lot method using dielectric heating. By using the glass composition of Sample No. 15, it was confirmed that it is possible to form the glass composition into a thin plate shape, a tubular shape, and a bulb shape by an up-draw method, a down-draw method, a slit method, an overflow (fusion) method, a hand-blown method, and the like. By using the glass composition of Sample No. 59, it was further confirmed that pouring a glass melt onto a liquid having a specific gravity greater than the Sample No. 59, and a subsequent cooling allows the glass composition to solidify into a plate. Note that all the glass produced in any method could be crystallized under the conditions described in the tables.


The contents of Pt and Rh of the sample were analyzed using ICP-MS equipment (Agilent 8800 manufactured by Agilent Technologies, Inc.). Firstly, after the produced glass sample was pulverized and wetted with pure water, perchloric acid, nitric acid, sulfuric acid, hydrofluoric acid, and the like were added, and the sample was melted. Thereafter, the contents of Pt and Rh of the sample were measured by ICP-MS. Based on a calibration curve prepared by using solutions containing Pt and Rh at known concentrations, which were prepared in advance, the contents of Pt and Rh of each measurement sample were evaluated. The measurement mode was He gas/HMI (low mode) for Pt and HEHe gas/HMI (medium mode) for Rh, and the mass numbers were 198 for Pt and 103 for Rh. Note that the content of Li2O of the prepared sample was analyzed by using an atomic absorption spectrometer (ContrAA600, manufactured by Analytik Jena GmbH). Including a flow of melting the glass sample and the use of calibration curves, the analysis was performed basically in much the same way as in the analysis of Pt and Rh. The contents of other components were measured by using ICP-MS or atomic absorption spectrometry in much the same way as Pt, Rh, Li2O, or by creating a calibration curve on an XRF analyzer (ZSX Primus IV manufactured by Rigaku Corporation) by using, as a calibration curve sample, a glass sample with a known concentration determined in advance using ICP-MS or an atomic absorption spectrometer, and, based on the calibration curve, evaluating an actual content of each component from an XRF analysis value of the measurement sample. During the XRF analysis, a tube voltage, a tube current, an exposure time, and the like were adjusted in accordance with the components to be analyzed.


The crystallizable glass described in each table was subjected to heat treatment for nucleation at from 750 to 900° C. for 0.75 to 60 hours, and then, a heat treatment at from 800 to 1000° C. for 0.25 to 3 hours was further performed for crystallization. Thereafter, heat treatment was performed at 700° C. for 30 minutes, and the temperature was decreased to room temperature by 100° C./h. The obtained crystallized glass was evaluated in terms of transmittance, diffuse transmittance, lightness, chromaticity, precipitated crystal, average crystallite size, thermal expansion coefficient, density, Young's modulus, modulus of rigidity, Poisson's ratio, and appearance. For the crystallizable glass before crystallization, the transmittance, the lightness, the chromaticity, and the like were measured in the same way as in the crystallized glass. The crystallizable glass was further evaluated in terms of a β-OH value, a viscosity, and a liquidus temperature.


The transmittance, the lightness, and the chromaticity were evaluated by measurement by using a spectrophotometer for a crystallized glass plate with both surfaces being optically polished to have 3 mm thick. A spectrophotometer V-670 manufactured by JASCO Corporation was used for the measurement. Note that V-670 is attached with “ISN-723”, which is an integrating sphere unit, and the transmittance measured corresponds to a total light transmittance. A measurement wavelength range was set from 200 to 1500 nm, a scan speed was set to 200 nm/min, a sampling pitch was set to 1 nm, a bandwidth was set to 5 nm for a wavelength range from 200 to 800 nm, and was set to 20 nm for other wavelength ranges. Baseline correction (100% adjustment) and dark measurement (0% adjustment) were performed before the measurement. During the dark measurement, a barium sulfate plate that came along with ISN-723 was removed. The measured transmittance was used to calculate tristimulus values XYZ according to JISZ8781-42013 and the corresponding international standards, and the lightness and the chromaticity were calculated from each stimulus value (light source C/10°). When the diffuse transmittance of the crystallized glass was measured, the same model as above was used, and the sample to be measured was placed and the measurement was performed while a barium sulfate plate that came along with ISN-723 was removed.


The precipitated crystal was evaluated by using an X-ray diffractometer (fully automatic multi-purpose horizontal X-ray diffractometer Smart Lab, manufactured by Rigaku Corporation). The scanning mode was set to 2θ/θ measurement, scan type was continuous scan, scattering and divergence slit width were 1°, light receiving slit width was 0.2°, a measuring range was from 10 to 60°, a measurement step was 0.1°, a scanning speed was 5°/min, and an analysis software packaged with the instrument was used to evaluate a main crystal and a crystal grain size. As a precipitation crystal seed identified as the main crystal, a β-quartz solid solution is indicated in the table as “β-Q”. The average crystallite size of the main crystals was calculated by using the measured X-ray diffraction peak, based on the ebeye-Scherrer method. Note that in the measurement for calculating the average crystallite size, the scanning speed was set to 1°/min.


The thermal expansion coefficient was evaluated by using a crystallized glass sample processed to have a length of 20 mm and a diameter of 3.8 mm, and as an average linear thermal expansion coefficient measured in the temperature ranges from 30 to 380° C. and from 30 to 750° C. A Dilatometer manufactured by NETZSCH was used for the measurement. Further, the same measuring instrument was used to measure the thermal expansion curve for the temperature range from 30 to 750° C. and the inflection point of the curve was calculated to evaluate the glass transition point of the crystallizable glass before crystallization.


The Young's modulus, the modulus of rigidity, and the Poisson's ratio was measured at room temperature by using a plate-shaped sample (40 mm×20 mm×20 mm) whose surface was polished with a polishing liquid in which 1200 mesh alumina powder was dispersed, and by using a free resonance type elastic modulus measuring device (JE-RT3 manufactured by Nihon Techno-Plus Co. Ltd.)


The density was evaluated by an Archimedes's method.


The strain point and the annealing point were evaluated by a fiber elongation method. Note that a fiber sample was prepared by subjecting the crystallizable glass to hand-drawing.


An FT-IR Frontier (PerkinElmer Inc.) was used to measure the transmittance of the glass to evaluate the β-OH value according to the following formula. Note that the scanning speed was set to 100 μm/min, and the sampling pitch was set to 1 cm−1, and the number of times of scans was set to 10 times per measurement.





β-OH value=(1/X)log 10(T1/T2)

    • X: Glass thickness (mm)
    • T1: Transmittance (%) at a reference wavelength of 3846 cm−1
    • T2: Minimum transmittance (%) near an absorption wavelength of hydroxyl groups of 3600 cm−1


The high temperature viscosity was evaluated by a platinum ball pulling-up method. For the evaluation, a lumpy glass sample was crushed into appropriate sizes, and fed into an alumina crucible while inclusion of air bubbles was avoided as much as possible. Then, the alumina crucible was heated to melt the sample, and the viscosity of the glass was measured at a plurality of temperatures. The constant of the Vogel-Fulcher equation was calculated, a viscosity curve was created, and the temperature at each viscosity was calculated.


The liquidus temperature was evaluated by the following method. Firstly, a platinum boat of about 120×20×10 mm was filled with a glass powder having a uniform size from 300 to 500 micrometers, placed in an electric furnace, and melted at 1600° C. for 30 minutes. Thereafter, the platinum boat was placed in an electric furnace having a linear temperature gradient, left to stand for 20 hours, and the devitrification was precipitated. After air cooling of the measurement sample to room temperature, the devitrification precipitated at an interface between the platinum boat and the glass was observed. A temperature of a part where devitrification was precipitated was calculated from a temperature gradient graph of the electric furnace, and was recorded as the liquidus temperature. The obtained liquidus temperature was interpolated into a high-temperature viscosity curve of the glass, and the viscosity corresponding to the liquidus temperature was recorded as the liquidus viscosity. Note that it was found from results of X-ray diffraction, composition analysis, and the like (scanning electron microscope S3400N TyPE2 manufactured by Hitachi, Ltd., and EMAX ENERGY EX250X manufactured by HORIBA, Ltd.) that a primary phase of the glasses listed in each table was mainly ZrO2.


Appearance was evaluated by visually observing the color tone of the crystallized glass. Note that the visual observation was performed on a white background and a black background under indoor light and sunlight, respectively (performed at 8:00, 12:00, and 16:00 on clear and cloudy days in January, April, July, and October). The color tone was determined comprehensively from each visual result.


As is evident from Tables 1 to 42, it was found that the crystallized glasses of the Samples Nos. 1 to 131 which are Examples were colorless and transparent in appearance and had high transmittance, the thermal expansion coefficient of approximately 0, and a sufficient degree of crystallization. It was also found that the rate of transmittance change before and after crystallization was small.



FIG. 1 shows a transmittance curve before crystallization of Sample No. 27 and FIG. 2 shows a transmittance curve after crystallization of Sample No. 27. It is also evident from FIGS. 1 and 2 that the rate of transmittance change before and after crystallization is small.


When the crystallized glass of the Sample No. 27 was immersed in a melt of KNO3 at 475° C. for 7 hours, a compressive stress layer was formed on the sample surface (compressive stress: 110 MPa, compression depth: 10 micrometers).


EXAMPLE 2

Table 43 and 44 shows Examples (Samples A to J) of the present invention. Table 45 shows Comparative Examples (Samples K to M) of the present invention.















TABLE 43







A
B
C
D
E

















Composition
SiO2
67.4


[wt %]
Al2O3
22.3



B2O3
0.00



P2O5
1.33



Li2O
3.68



Na2O
0.37



K2O
0.00



MgO
1.24



CaO
0.00



SrO
0.00



BaO
0.00



ZnO
0.00



TiO2
0.0145



SnO2
1.13



ZrO2
2.62



Fe2O3
0.0064



Y2O3
0.00



MoO3
0.0000



Sb2O3
0.00



As2O3
0.00


Composition
Pt
0.71


[ppm]
Rh
0.10



Pt + Rh
0.81








Sn/(P + B + Zr + Ti + Sn)
0.222


Al/(Zr + Sn)
5.95


(Mg + Zn)/Li
0.337


Sn/(Zr + Sn)
0.30


(Si + Al)/Li
24.38


(Si + Al)/Sn
79.38


(Li + Na + K)/Zr
1.55


Ti/Zr
0.0055


Ti/(Ti + Fe)
0.694


Na + K + Ca + Sr + Ba
0.37


(Mg + Ca + Sr + Ba)/Zr
0.47


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.31


Al/(Li + (½*(Mg + Zn))
6.68


Sb + As
0.00







Before crystallization








Density[g/cm3]
2.422












β-OH[/mm]
0.14 
0.20 
0.36 
0.42 
0.62 







After crystallization








Crystallization condition
780° C.-45 min



890° C.-15 min












Density[g/cm3]
2.492
2.500
2.509
2.510
2.511






















TABLE 44







F
G
H
I
J

















Composition
SiO2
67.4


[wt %]
Al2O3
22.3



B2O3
0.00



P2O5
1.33



Li2O
3.68



Na2O
0.37



K2O
0.00



MgO
1.24



CaO
0.00



SrO
0.00



BaO
0.00



ZnO
0.00



TiO2
0.0145



SnO2
1.13



ZrO2
2.62



Fe2O3
0.0064



Y2O3
0.00



MoO3
0.0000



Sb2O3
0.00



As2O3
0.00


Composition
Pt
0.71


[ppm]
Rh
0.10



Pt + Rh
0.81








Sn/(P + B + Zr + Ti + Sn)
0.222


Al/(Zr + Sn)
5.95


(Mg + Zn)/Li
0.337


Sn/(Zr + Sn)
0.30


(Si + Al)/Li
24.38


(Si + Al)/Sn
79.38


(Li + Na + K)/Zr
1.55


Ti/Zr
0.0055


Ti/(Ti + Fe)
0.694


Na + K + Ca + Sr + Ba
0.37


(Mg + Ca + Sr + Ba)/Zr
0.47


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.31


Al/(Li + (½*(Mg + Zn))
10.09


Sb + As
0.00







Before crystallization








Density[g/cm3]
2.422












β-OH[/mm]
0.14 
0.20 
0.36 
0.42 
0.62 







After crystallization








Crystallization condition
780° C.-15 min 



890° C.-5 min












Density[g/cm3]
2.449
2.472
2.491
2.499
2.508




















TABLE 45







K
L
M


















Composition
SiO2
65.7


[wt %]
Al2O3
22.2



B2O3
0.00



P2O5
1.40



Li2O
3.70



Na2O
0.40



K2O
0.30



MgO
0.70



CaO
0.00



SrO
0.00



BaO
1.20



ZnO
0.00



TiO2
2.00



SnO2
0.20



ZrO2
2.20



Fe2O3
0.0150



Y2O3
0.00



MoO3
0.0000



Sb2O3
0.00



As2O3
0.00


Composition
Pt
0.05


[ppm]
Rh
0.05



Pt + Rh
0.10








Sn/(P + B + Zr + Ti + Sn)
0.034


Al/(Zr + Sn)
9.25


(Mg + Zn)/Li
0.189


Sn/(Zr + Sn)
0.08


(Si + Al)/Li
23.76


(Si + Al)/Sn
439.50


(Li + Na + K)/Zr
2.00


Ti/Zr
0.9091


Ti/(Ti + Fe)
0.993


Na + K + Ca + Sr + Ba
1.90


(Mg + Ca + Sr + Ba)/Zr
0.86


(Mg + Ca + Sr + Ba)/(Li + Na + K)
0.43


Al/(Li + (1/2*(Mg + Zn))
6.35


Sb + As
0.00







Before crystallization








Density[g/cm3]
2.423










β -OH[/mm]
0.13
0.37
0.54







After crystallization








Crystallization condition
780° C.-45 min









890° C.-15 min










Density[g/cm3]
2.516
2.520
2.520









The Samples A to M listed in Tables 31, 32, and 33 were prepared in much the same way as in Example 1, and the β-OH value before crystallization, and the density after crystallization were measured. A relationship between the β-OH values and the densities of Samples A to E is shown in FIG. 3, a relationship between the β-OH value and the densities of Samples F to J is shown in FIG. 4, and a relationship between the β-OH value and the densities of Samples K to M is shown in FIG. 5.


As is evident from FIGS. 3 and 4, it was found that, for the crystallized glass samples having a small content of TiO2 and being easily colorless and transparent, a higher β-OH value results in a higher density and a higher degree of crystallization. On the other hand, as is evident from FIG. 5, it was found that for the crystallized glass samples having a large content of TiO2 and being easily colored in yellow, crystallization was progressed to a similar level regardless of the β-OH value. This result clearly indicates the effects of the present invention, that is, to efficiently provide a Li2O—Al2O3—SiO2-based crystallized glass in which yellow coloration caused by TiO2, Fe2O3, and the like is suppressed and yet transparency is ensured. Note that although Tables 31 and 32 are described as representative Examples of the present invention this time, it was confirmed that similar effects were obtained even in other embodiments described herein. In the Examples listed in Tables 31 and 32, although the crystallization temperatures are fixed in a certain combination, it was confirmed that similar effects were obtained even in other combinations of crystallization temperatures. It is possible to change the crystallization temperature in any way depending on a desired firing time, and a characteristic of the crystallized glass.


INDUSTRIAL APPLICABILITY

The Li2O—Al2O3—SiO2-based crystallized glass of the present invention is suitable for a front window of a kerosine stove, a wood stove, and the like, a substrate for a high-tech product such as a color filter and an image sensor substrate, a setter for firing an electronic part, a light diffusion plate, a furnace tube for semiconductor manufacture, a mask for semiconductor manufacture, an optical lens, a member for dimension measurement, a member for communications, a member for construction, a chemical reaction vessel, an electromagnetic cooking top plate, a heat-resistant tableware, a heat-resistant cover, a window glass for a fire door, an astronomical telescope member, a space optical member, and the like.

Claims
  • 1. A Li2O—Al2O3—SiO2-based crystallized glass, comprising: in mass %, from 0 to less than 0.5% of TiO2, and having a β-OH value from 0.001 to 2/mm.
  • 2. The Li2O—Al2O3—SiO2-based crystallized glass according to claim 1, further comprising: in mass %, from 40 to 90% of SiO2; from 5 to 30% of Al2O3; from 1 to 10% of Li2O; from 0 to 20% of SnO2; from 1 to 20% of ZrO2; from 0 to 10% of MgO; from 0 to 10% of P2O5; and from 0 to less than 2% of Sb2O3+As2O3.
  • 3. The Li2O—Al2O3—SiO2-based crystallized glass according to claim 1, further comprising: in mass %, from 0 to 10% of Na2O; from 0 to 10% of K2O; from 0 to 10% of CaO; from 0 to 10% of SrO; from 0 to 10% of BaO; from 0 to 10% of ZnO; and from 0 to 10% of B2O3.
  • 4. The Li2O—Al2O3—SiO2-based crystallized glass according to claim 1, further comprising: in mass %, 0.1% or less of Fe2O3.
  • 5. The Li2O—Al2O3—SiO2-based crystallized glass according to claim 1, wherein a mass ratio of SnO2/(SnO2+ZrO2+P2O5+TiO2+B2O3) is 0.06 or greater.
  • 6. The Li2O—Al2O3—SiO2-based crystallized glass according to claim 1, wherein a mass ratio of Al2O3/(SnO2+ZrO2) is 7.1 or less.
  • 7. The Li2O—Al2O3—SiO2-based crystallized glass according to claim 1, wherein a mass ratio of SnO2/(SnO2+ZrO2) is 0.01 to 0.99.
  • 8. The Li2O—Al2O3—SiO2-based crystallized glass according to claim 1, comprising: in mass %, 8% or less of Na2O+K2O+CaO+SrO+BaO.
  • 9. The Li2O—Al2O3—SiO2-based crystallized glass according to claim 1, wherein a mass ratio of (SiO2+Al2O3)/Li2O is 20 or greater.
  • 10. The Li2O—Al2O3—SiO2-based crystallized glass according to claim 1, wherein a mass ratio of (SiO2+Al2O3)/SnO2 is 44 or greater.
  • 11. The Li2O—Al2O3—SiO2-based crystallized glass according to claim 1, wherein a mass ratio of (MgO+ZnO)/Li2O is less than 0.395 or greater than 0.754.
  • 12. The Li2O—Al2O3—SiO2-based crystallized glass according to claim 1, wherein a mass ratio of (Li2O+Na2O+K2O)/ZrO2 is 2.0 or less.
  • 13. The Li2O—Al2O3—SiO2-based crystallized glass according to claim 1, wherein a mass ratio of TiO2/ZrO2 is 0.0001 to 5.0.
  • 14. The Li2O—Al2O3—SiO2-based crystallized glass according to claim 1, wherein a mass ratio of TiO2/(TiO2+Fe2O3) is from 0.001 to 0.999.
  • 15-18. (canceled)
  • 19. The Li2O—Al2O3—SiO2-based crystallized glass according to claim 1, having a colorless and transparent appearance.
  • 20. The Li2O—Al2O3—SiO2-based crystallized glass according to claim 1, having a transmittance of 10% or greater at a thickness of 3 mm and a wavelength of 300 nm.
  • 21. The Li2O—Al2O3—SiO2-based crystallized glass according to claim 1, wherein a β-quartz solid solution is precipitated as a main crystal.
  • 22. The Li2O—Al2O3—SiO2-based crystallized glass according to claim 1, wherein a thermal expansion coefficient at 30 to 380° C. is 30×10−7/° C. or less.
  • 23-24. (canceled)
  • 25. The Li2O—Al2O3—SiO2-based crystallized glass according to claim 1, wherein a mass ratio of Al2O3/(Li2O+(½×(MgO+ZnO)) is from 3.0 to 8.0.
  • 26. A Li2O—Al2O3—SiO2-based crystallized glass, comprising: in mass %, more than 0% of MoO3, and having a β-OH value from 0.001 to 0.5/mm.
Priority Claims (1)
Number Date Country Kind
2020-153032 Sep 2020 JP national
PCT Information
Filing Document Filing Date Country Kind
PCT/JP2021/032579 9/6/2021 WO