ALKALI-FREE GLASS PLATE

Information

  • Patent Application
  • 20210380469
  • Publication Number
    20210380469
  • Date Filed
    October 07, 2019
    5 years ago
  • Date Published
    December 09, 2021
    3 years ago
Abstract
The present invention provides an alkali-free glass sheet, including as a glass composition, in terms of mol %, 60% to 74% of SiO2, 6% to 20% of Al2O3, 0% to 9% of B2O3, 1% to 13% of MgO, 1% to 13% of CaO, 0% to 7% of SrO, 0% to 8% of BaO, and 0% to less than 1.0% of Y2O3+La2O3, being substantially free of an alkali metal oxide, and having a strain point of 650° C. or more.
Description
TECHNICAL FIELD

The present invention relates to an alkali-free glass sheet, and more particularly, to an alkali-free glass sheet suitable as a substrate for forming a TFT circuit in a flat panel display, such as a liquid crystal display or an OLED display, or as a carrier glass for holding a resin substrate for forming the TFT circuit.


BACKGROUND ART

As is well known, a liquid crystal panel or an OLED panel includes a thin film transistor (TFT) for driving control.


As a thin film transistor configured to drive a display, amorphous silicon, low-temperature polysilicon, high-temperature polysilicon, and the like have been known. In recent years, along with the spread of large liquid crystal displays, smartphones, tablet PCs, and the like, there is an increasing need for higher resolution of a display. A low-temperature polysilicon TFT can meet this need, but a high-temperature film forming process of from 500° C. to 600° C. is involved. However, a related-art glass sheet has large thermal shrinkage before and after the high-temperature film forming process, and hence pattern deviation of the thin film transistor is caused. Accordingly, in order to increase the resolution of the display, a glass sheet with low thermal shrinkage is required. In recent years, a further increase in definition of the display has been investigated. In this case, a further reduction in thermal shrinkage of the glass sheet is required.


CITATION LIST

Patent Literature 1: JP 5769617 B2


SUMMARY OF INVENTION
Technical Problem

As a main method of reducing the thermal shrinkage of the glass sheet, two methods are given. A first method is a method involving holding the glass sheet in advance at a temperature around a heat treatment temperature of the film forming process to anneal the glass sheet. In this method, glass undergoes structural relaxation and shrinks at the time of annealing, and hence a thermal shrinkage amount in the subsequent film forming process at high temperature can be suppressed. However, this method entails an increase in number of manufacturing steps and a longer manufacturing time, resulting in a rise in manufacturing cost of the glass sheet.


A second method is a method involving increasing the strain point of the glass sheet. In an overflow down-draw method, glass is generally cooled from a melting temperature to a forming temperature in a relatively short time. Under the influence of this, the fictive temperature of the glass sheet is increased, and the thermal shrinkage of the glass sheet is increased. In view of the foregoing, when the strain point of the glass sheet is increased, the viscosity of the glass sheet at a heat treatment temperature of the film forming process is increased, with the result that structural relaxation hardly proceeds. As a result, the thermal shrinkage of the glass sheet can be suppressed. Moreover, as the heat treatment temperature of the film forming process becomes higher, an increase in strain point has a higher effect on a reduction in thermal shrinkage. Accordingly, in the case of the low-temperature polysilicon TFT, it is desired that the strain point of the glass sheet be increased to the extent possible.


For example, in Patent Literature 1, there is disclosed that the strain point of a glass sheet is increased by reducing the content of B2O3 in a glass composition. Further, in Patent Literature 1, there is disclosed that a reduction in denitrification resistance caused by a low B2O3 content is avoided by introducing Y2O3 and/or La2O3 into the glass composition. However, Y2O3 and La2O3 are rare earth elements, and hence raw material cost is high, resulting in a rise in manufacturing cost of the glass sheet.


The present invention has been made in view of the above-mentioned circumstances, and a technical object of the present invention is to provide an alkali-free glass sheet which has a high strain point and enables a reduction in manufacturing cost.


Solution to Problem

The inventors of the present invention have made extensive investigations, and as a result, have found that the above-mentioned technical object can be achieved by strictly restricting the contents of components and restricting a strain point to a predetermined value or more. The finding is proposed as the present invention. That is, according to one embodiment of the present invention, there is provided an alkali-free glass sheet, comprising as a glass composition, in terms of mol %, 60% to 74% of SiO2, 6% to 20% of Al2O3, 0% to 9% of B2O3, 1% to 13% of MgO, 1% to 13% of CaO, 0% to 7% of SrO, 0% to 8% of BaO, and 0% to less than 1.0% of Y2O3+La2O3, being substantially free of an alkali metal oxide, and having a strain point of 650° C. or more. Herein, the “Y2O3+La2O3” refers to the total content of Y2O3 and La2O3. The “substantially free of an alkali metal oxide” refers to a case in which the content of an alkali metal oxide (Li2O, Na2O, K2O) in the glass composition is less than 0.5 mol % (desirably less than 0.1 mol %). The “strain point” refers to a value measured based on a method of ASTM C336.


In addition, it is preferred that the alkali-free glass sheet according to the one embodiment of the present invention have a content of SrO+BaO of from 0 mol % to 3 mol %. Herein, the “SrO+BaO” refers to the total content of SrO and BaO.


In addition, it is preferred that the alkali-free glass sheet according to the one embodiment of the present invention have a strain point of 700° C. or more.


In addition, it is preferred that the alkali-free glass sheet according to the one embodiment of the present invention have a Young's modulus of 79 GPa or more. Herein, the “Young's modulus” may be measured by a flexural resonance method.


In addition, it is preferred that the alkali-free glass sheet according to the one embodiment of the present invention have a thermal expansion coefficient of from 30×10−7/° C. to 45×10−7/° C. With this configuration, a situation in which the glass sheet has a local dimensional change owing to temperature variations in a film forming process at high temperature can be suppressed.


In addition, it is preferred that the alkali-free glass sheet according to the one embodiment of the present invention have a temperature at a viscosity at high temperature of 102.5 dPa·s of 1,600° C. or less. With this configuration, a reduction in melting cost can be achieved.







DESCRIPTION OF EMBODIMENTS

An alkali-free glass sheet of the present invention comprises as a glass composition, in terms of mol %, 60% to 74% of SiO2, 6% to 20% of Al2O3, 0% to 9% of B2O3, 1% to 13% of MgO, 1% to 13% of CaO, 0% to 7% of SrO, 0% to 8% of BaO, and 0% to less than 1.0% of Y2O3+La2O3, and is substantially free of an alkali metal oxide. The reasons why the contents of the components are limited as described above are described below. In the descriptions of the contents of the components, the expression “%” represents “mold”, unless otherwise specified.


SiO2 is a component which forms a glass skeleton, and is also a component which increases a strain point. Accordingly, the content of SiO2 is preferably 60% or more, 62% or more, 64% or more, or 64% or more, particularly preferably 66% or more. Meanwhile, when the content of SiO2 is too large, a viscosity at high temperature is increased, and thus meltability is liable to be reduced. Accordingly, the content of SiO2 is preferably 74% or less, 72% or less, or 70% or less, particularly preferably 68% or less.


Al2O3 is a component which forms the glass skeleton, and is also a component which increases the strain point. Further, Al2O3 is a component which suppresses phase separation. Accordingly, the content of Al2O3 is preferably 6% or more, 8% or more, or 10% or more, particularly preferably 12% or more. Meanwhile, when the content of Al2O3 is too large, the viscosity at high temperature is increased, and thus the meltability is liable to be reduced. Accordingly, the content of Al2O3 is 20% or less, 18% or less, or 16% or less, particularly preferably 14% or less.


B2O3, which is an optional component, is a component which remarkably improves the meltability. Accordingly, the content of B2O3 is preferably 0% or more, 0.01% or more, 0.1% or more, 0.2% or more, 0.3% or more, or 0.4% or more, particularly preferably 0.5% or more. Meanwhile, when the content of B2O3 is too large, the strain point is significantly reduced, or a β-OH value is significantly increased. While the details are described later, when the β-OH value is increased, thermal shrinkage in a temperature range equal to or lower than the strain point is increased. Accordingly, the content of B2O3 is preferably 9% or less, 7% or less, or 5% or less, particularly preferably 4% or less.


The molar ratio SiO2/B2O3 is preferably 50 or less, 40 or less, 30 or less, or 25 or less, particularly preferably 20 or less. When the molar ratio SiO2/B2O3 is too high, it becomes difficult to achieve both a high strain point and high meltability. The “SiO2/B2O3” refers to a value obtained by dividing the content of SiO2 by the content of B2O3.


MgO is a component which reduces the viscosity at high temperature to improve the meltability, and is also a component which improves devitrification resistance through balance with other components. Further, from the viewpoint of mechanical characteristics, MgO is a component which remarkably increases a Young's modulus. Accordingly, the content of MgO is preferably 1% or more, 3% or more, 5% or more, or 6% or more, particularly preferably 7% or more. Meanwhile, when the content of MgO is too large, the strain point is liable to be reduced, or the balance with other components is lost, resulting in a higher devitrification tendency. Accordingly, the content of MgO is preferably 15% or less, 13% or less, or 10% or less, particularly preferably 8% or less.


CaO is a component which reduces the viscosity at high temperature to improve the meltability, and is also a component which improves the devitrification resistance through balance with other components. Accordingly, the content of CaO is preferably 1% or more or 3% or more, particularly preferably 5% or more. Meanwhile, when the content of CaO is too large, the strain point is liable to be reduced. Accordingly, the content of CaO is preferably 15% or less, 13% or less, 10% or less, or 8% or less, particularly preferably 7% or less.


SrO is a component which reduces the viscosity at high temperature to improve the meltability, and is also a component which improves the devitrification resistance through balance with other components. Accordingly, the content of SrO is preferably 0% or more, 0.5% or more, or 1% or more, particularly preferably 1.5% or more. Meanwhile, when the content of SrO is too large, the strain point is liable to be reduced. Accordingly, the content of SrO is preferably 7% or less, 5% or less, or 3% or less, particularly preferably 2% or less.


BaO is a component which reduces the viscosity at high temperature to improve the meltability, and is also a component which improves the devitrification resistance through balance with other components. Accordingly, the content of BaO is preferably 0% or more, 0.5% or more, or 1% or more, particularly preferably 1.5% or more. Meanwhile, when the content of BaO is too large, the strain point is liable to be reduced. Accordingly, the content of BaO is preferably 8% or less, 6% or less, 4% or less, or 3% or less, particularly preferably 2% or less.


The total content of SrO and BaO is preferably 0% or more, 0.5% or more, 1% or more, 1.2% or more, or 1.4% or more, particularly preferably 1.6% or more. When the total content of SrO and BaO is too small, the meltability is liable to be reduced. Meanwhile, when the total content of SrO and BaO is too large, the glass composition loses its component balance, and the devitrification resistance is liable to be reduced. Accordingly, the total content of SrO and BaO is preferably 6% or less, 4% or less, 3% or less, 2.5% or less, or 2.2% or less, particularly preferably 2% or less.


The molar ratio B2O3/BaO is preferably 1 or more, 2 or more, 5 or more, or 8 or more, particularly preferably 10 or more. When the molar ratio B2O3/BaO is too low, the balance between the glass components is lost in a glass system according to the present invention, and the devitrification resistance is liable to be reduced. The “B2O3/BaO” refers to a value obtained by dividing the content of B2O3 by the content of BaO.


The molar ratio BaO/(SrO+BaO) is preferably 1 or less, 0.8 or less, 0.6 or less, or 0.4 or less, particularly preferably 0.2 or less. When the molar ratio BaO/(SrO+BaO) is too large, the balance between the glass components is lost in a glass system according to the present invention, and the devitrification resistance is liable to be reduced. The “BaO/(SrO+BaO)” refers to a value obtained by dividing the content of BaO by the total content of SrO and BaO.


The molar ratio (SiO2+Al2O3+B2O3)/(SrO+BaO) is preferably 10 or more, 15 or more, 20 or more, or 25 or more, particularly preferably 30 or more. When the molar ratio (SiO2+Al2O3+B2O3)/(SrO+BaO) is too low, it becomes difficult to achieve both a high strain point and a high Young's modulus. The “(SiO2+Al2O3+B2O3)/(SrO+BaO)” refers to a value obtained by dividing the total content of SiO2, Al2O3, and B2O3 by the total content of SrO and BaO.


When (CaO+SrO+BaO)—(Al2O3+B2O3) is too large, the amount of non-bridging oxygen in the glass is increased, and a thermal shrinkage rate is increased. Accordingly, (CaO+SrO+BaO)—(Al2O3+B2O3) is preferably 5% or less, 3% or less, 1% or less, 0% or less, −1% or less, or −3% or less, particularly preferably −4% or less. Meanwhile, when (CaO+SrO+BaO)—(Al2O3+B2O3) is too small, the strain point is reduced, and the thermal shrinkage rate is increased contrarily. Accordingly, (CaO+SrO+BaO)—(Al2O3+B2O3) is preferably −20% or more, −15% or more, −10% or more, or −7% or more, particularly preferably −6% or more. The “(CaO+SrO+BaO)—(Al2O3+B2O3)” refers to a value obtained by subtracting the total content of Al2O3 and B2O3 from the total content of CaO, SrO, and BaO.


Y2O3 is a component which increases the strain point and the Young's modulus. However, when the content thereof is too large, a density and raw material cost are liable to be increased. Accordingly, the content of Y2O3 is preferably from 0% to 0.8%, from 0% to 0.7%, from 0% to 0.5%, or from 0% to 0.2%, particularly preferably from 0% to less than 0.1%.


La2O3 is a component which increases the strain point and the Young's modulus. However, when the content thereof is too large, the density and the raw material cost are liable to be increased. Accordingly, the content of La2O3 is preferably from 0% to 0.8%, from 0% to 0.7%, from 0% to 0.5%, or from 0% to 0.2%, particularly preferably from 0% to less than 0.1%.


The total content of Y2O3 and La2O3 is preferably from 0% to less than 1.0%, from 0% to 0.8%, from 0% to 0.7%, from 0% to 0.5%, or from 0% to 0.2%, particularly preferably from 0% to less than 0.1%. However, when the total content of Y2O3 and La2O3 is too large, the density and the raw material cost are liable to be increased.


The alkali-free glass sheet of the present invention may comprise the following components in the glass composition in addition to the above-mentioned components.


ZnO is a component which increases the meltability. However, when ZnO is contained in a large amount, the glass is liable to devitrify, and in addition, the strain point is liable to be reduced. The content of ZnO is preferably from 0% to 5%, from 0% to 3%, from 0% to 0.5%, or from 0% to 0.3%, particularly preferably from 0% to 0.2%.


P2O5 is a component which remarkably reduces the liquidus temperature of an Al-based devitrified crystal while maintaining the strain point. However, when P2O5 is contained in a large amount, the Young's modulus is reduced, or the glass undergoes phase separation. In addition, there is a risk in that P may be diffused from the glass and affect the performance of a TFT. Accordingly, the content of P2O3 is preferably from 0% to 5%, from 0% to 3%, or from 0% to 1%, particularly preferably from 0% to 0.5%.


TiO2 is a component which reduces the viscosity at high temperature and thus increases the meltability, and is also a component which suppresses solarization. However, when TiO2 is contained in a large amount, the glass is colored, and thus a transmittance is liable to be reduced. Accordingly, the content of TiO2 is preferably from 0% to 3%, from 0% to 1%, or from 0% to 0.1%, particularly preferably from 0% to 0.02%.


SnO2 is a component which exhibits a satisfactory fining action in a high temperature region. In addition, SnO2 is a component which increases the strain point, and is also a component which reduces the viscosity at high temperature. The content of SnO2 is preferably from 0% to 1%, from 0.001% to 1%, or from 0.05% to 0.5%, particularly preferably from 0.08% to 0.2%. When the content of SnO2 is too large, a devitrified crystal of SnO2 is liable to precipitate. When the content of SnO2 is less than 0.001%, it becomes difficult to exhibit the above-mentioned effects.


SnO2 is suitable as a fining agent, but any other fining agent than SnO2 may be used as long as the characteristics of the glass are not significantly impaired. Specifically, As2O3, Sb2O3, CeO2, F2, Cl2, SO3, and C may be added at a total content of, for example, up to 0.5%, and metal powders, such as Al and Si, may be added at a total content of, for example, up to 0.5%.


As2O3 and Sb2O3 are excellent in fining property, but from an environmental viewpoint, it is preferred to introduce As2O3 and Sb2O3 in as small amounts as possible. Further, when As2O3 is contained in a large amount in the glass, solarization resistance tends to be reduced, and hence the content thereof is preferably 0.5% or less, particularly preferably 0.1% or less. It is desired that the alkali-free glass sheet be substantially free of As2O3. Herein, the “substantially free of As2O3” refers to a case in which the content of As2O3 in the glass composition is less than 0.05%. In addition, the content of Sb2O3 is preferably 1% or less, particularly preferably 0.5% or less. It is desired that the alkali-free glass sheet be substantially free of Sb2O3. Herein, the “substantially free of Sb2O3” refers to a case in which the content of Sb2O3 in the glass composition is less than 0.05%.


Cl has an effect of promoting the melting of alkali-free glass. When Cl is added, a reduction in melting temperature can be achieved, and the action of the fining agent is promoted. As a result, while melting cost is reduced, the lifetime of a glass production kiln can be prolonged. However, when the content of Cl is too large, the strain point is liable to be reduced. Accordingly, the content of Cl is preferably 0.5% or less, particularly preferably 0.1% or less. An alkaline earth metal chloride, such as strontium chloride, aluminum chloride, or the like may be used as a raw material for introducing Cl.


The alkali-free glass sheet of the present invention preferably has the following characteristics.


The thermal expansion coefficient is preferably from 30×10−7/° C. to 45×10−7/° C., from 30×10−7/° C. to 42×10−7/° C., from 30×10−7/° C. to 40×10−7/° C., or from 30×10−7/° C. to 38×10−7/° C., particularly preferably from 30×10−7/° C. to 36×10−7/° C. When the thermal expansion coefficient is too high, the glass sheet is liable to have a local dimensional change owing to temperature variations in the film forming process at high temperature.


The density is preferably 2.80 g/cm3 or less, 2.75 g/cm3 or less, 2.70 g/cm3 or less, 2.65 g/cm3 or less, 2.60 g/cm3 or less, or 2.55 g/cm3 or less, particularly preferably from 2.45 g/cm3 to 2.50 g/cm3. When the density is too high, the deflection amount of the glass sheet is liable to be increased, and hence pattern deviation caused by stress is liable to be promoted in, for example, manufacturing steps for a display.


The strain point is preferably 650° C. or more, 680° C. or more, 700° C. or more, 710° C. or more, 720° C. or more, or 730° C. or more, particularly preferably 740° C. or more. When the strain point is too low, thermal shrinkage is liable to occur in the glass sheet in the film forming process at high temperature.


The annealing point is preferably 720° C. or more, 750° C. or more, or 780° C. or more, particularly preferably 800° C. or more. When the annealing point is too low, thermal shrinkage is liable to occur in the glass sheet in the film forming process at high temperature.


The softening point is preferably 940° C. or more, 960° C. or more, or 980° C. or more, particularly preferably 1,000° C. or more. When the softening point is too low, thermal shrinkage is liable to occur in the glass sheet in the film forming process at high temperature.


The temperature at a viscosity at high temperature of 102.5 dPa·s is preferably 1,656° C. or less, 1,620° C. or less, 1,600° C. or less, 1,590° C. or less, or 1,580° C. or less, particularly preferably 1,570° C. or less. When the temperature at 102.5 dPa·s is high, the meltability and the fining property are liable to be reduced, resulting in a rise in manufacturing cost of the glass sheet.


The Young's modulus is preferably 76 GPa or more, 78 GPa or more, 79 GPa or more, 80 GPa or more, 81 GPa or more, or 82 GPa or more, particularly preferably 83 GPa or more. When the Young's modulus is too low, the deflection amount of the glass sheet is liable to be increased, and hence pattern deviation caused by stress is liable to be promoted in, for example, manufacturing steps for a display.


The specific Young's modulus is preferably 29 GPa/g·cm−3 or more, 30 GPa/g·cm−3 or more, 31 GPa/g·cm−3 or more, or 32 GPa/g·cm−3 or more, particularly preferably 33 GPa/g·cm−3 or more. When the specific Young's modulus is too low, the deflection amount of the glass sheet is liable to be increased, and hence pattern deviation caused by stress is liable to be promoted in, for example, manufacturing steps for a display.


The liquidus temperature is preferably 1,450° C. or less, 1,300° C. or less, or 1,200° C. or less, particularly preferably 1,150° C. or less. With this configuration, a devitrified crystal is less liable to be generated at the time of forming. Further, the glass sheet is easily formed by an overflow down-draw method, and hence the surface quality of the glass sheet is easily improved. Besides, the manufacturing cost of the glass sheet can be reduced. The “liquidus temperature” is a temperature at which a crystal precipitates after glass powder that has passed through a standard 30-mesh sieve (500 μm) and remains on a 50-mesh sieve (300 μm) is placed in a platinum boat and kept for 24 hours in a gradient heating furnace.


The liquidus viscosity is preferably 104.6 dPa·s or more, 105.0 dPa·s or more, or 105.2 dPa·s or more, particularly preferably 105.5 dPa·s or more. With this configuration, devitrification is less liable to occur at the time of forming, and hence the glass sheet is easily formed by an overflow down-draw method. As a result, the surface quality of the glass sheet can be improved. Besides, the manufacturing cost of the glass sheet can be reduced. Herein, the “liquidus viscosity” refers to a glass viscosity at the liquidus temperature, and may be measured by a platinum sphere pull up method.


The β-OH value is an indicator of the amount of water in the glass. When the β-OH value is reduced, the strain point can be increased. In addition, even with the same glass composition, a glass sheet having a lower β-OH value has lower thermal shrinkage in a temperature range equal to or lower than the strain point. The β-OH value is preferably 0.30/mm or less, 0.25/mm or less, 0.20/mm or less, or 0.15/mm or less, particularly preferably 0.10/mm or less. When the β-OH value is too low, the meltability is liable to be reduced. Accordingly, the β-OH value is preferably 0.01/mm or more, particularly preferably 0.03/mm or more. Herein, the “β-OH value” refers to a value determined using the following mathematical formula by measuring the transmittances of the glass with an FT-IR.





β-OH value=(1/X)log(T1/T2)


X: Thickness (mm)


T1: Transmittance (%) at a reference wavelength of 3,846 cm−1


T2: Minimum transmittance (%) at a wavelength around a hydroxyl group absorption wavelength of 3,600 cm−1


It is preferred that the alkali-free glass sheet of the present invention have overflow-joined surfaces in a middle portion thereof in a sheet thickness direction. That is, it is preferred that the alkali-free glass sheet of the present invention be formed by an overflow down-draw method. The overflow down-draw method refers to a method in which molten glass is caused to overflow from both sides of a wedge-shaped refractory, and the overflowing molten glasses are subjected to down-draw downward at the lower end of the wedge-shaped refractory while being joined, to thereby form the glass into a flat sheet shape. By the overflow down-draw method, surfaces which are to serve as the surfaces of the glass sheet are formed in a state of free surfaces without being brought into contact with the refractory. As a result, a glass sheet having good surface quality can be manufactured without polishing at low cost. Further, an increase in area and a reduction in thickness are easily achieved as well.


The forming may be performed by, for example, a slot-down method, a redraw method, a float method, or a roll-out method as well as the overflow down-draw method.


The sheet thickness of the alkali-free glass sheet of the present invention is not particularly limited, but is preferably 1.0 mm or less, 0.7 mm or less, or 0.5 mm or less, particularly preferably from 0.05 mm to 0.4 mm. As the sheet thickness becomes smaller, weight saving of a liquid crystal panel or an OLED panel is more easily achieved. The sheet thickness may be adjusted based on, for example, a flow rate and a forming speed (sheet-drawing speed) at the time of glass production.


A method of manufacturing the alkali-free glass sheet of the present invention on an industrial scale preferably comprises a melting step of loading a glass batch to a melting furnace and heating the glass batch through application of a current with a heating electrode to obtain molten glass, the glass batch having been blended so as to comprise the above-mentioned glass composition, and a forming step of forming the obtained molten glass into an alkali-free glass sheet by an overflow down-draw method.


In general, a manufacturing process for the glass sheet comprises a melting step, a fining step, a supplying step, a stirring step, and a forming step. The melting step is a step of melting a glass batch obtained by blending glass raw materials to provide molten glass. The fining step is a step of fining the molten glass obtained in the melting step by an action of a fining agent or the like. The supplying step is a step of transferring the molten glass from one step to another. The stirring step is a step of stirring the molten glass to homogenize the molten glass. The forming step is a step of forming the molten glass into a glass sheet. A step other than the above-mentioned steps, for example, a state adjusting step of adjusting the molten glass to be in a state suitable for forming may be introduced after the stirring step as required.


When the alkali-free glass sheet is manufactured on an industrial scale, the glass is generally melted by heating with a combustion flame of a burner. The burner is generally arranged at an upper portion of a melting kiln, and uses fossil fuel as its fuel, specifically, for example, liquid fuel, such as heavy oil, or gas fuel, such as LPG. The combustion flame may be obtained by mixing the fossil fuel and oxygen gas. However, such method is liable to entail an increase in β-OH value because a large amount of water is mixed in the molten glass during the melting. Accordingly, in manufacturing the alkali-free glass sheet, it is preferred to perform heating through application of a current with a heating electrode, and it is more preferred to melt the glass by heating through application of a current with a heating electrode without heating with the combustion flame of the burner, that is, perform full electric melting. With this configuration, water is less liable to be mixed in the molten glass during the melting, and hence the β-OH value is easily controlled to 0.30/mm or less, 0.25/mm or less, 0.20/mm or less, or 0.15/mm or less, particularly 0.10/mm or less. Further, when the heating through application of a current with a heating electrode is performed, the amount of energy required for obtaining the molten glass per unit mass is reduced, and the amount of a melt volatile is reduced. As a result, an environmental load can be reduced.


Further, with regard to the heating through application of a current, as the amount of water in the glass batch becomes smaller, the β-OH value in the glass sheet is reduced more easily. Moreover, a raw material for introducing B2O3 is liable to be a maximum water mixing source. Accordingly, from the viewpoint of manufacturing an alkali-free glass sheet having a low β-OH value, it is preferred to reduce the content of B2O3 to the extent possible. In addition, as the amount of water in the glass batch becomes smaller, the glass batch spreads in a melting kiln more uniformly, and hence a homogeneous glass sheet with high quality is easily manufactured.


The heating through application of a current with a heating electrode is preferably performed by applying an alternating voltage to a heating electrode arranged at a bottom portion or a side portion of a melting kiln so as to be brought into contact with the molten glass in the melting kiln. A material having heat resistance and corrosion resistance to the molten glass is preferably used as a material for the heating electrode, and for example, tin oxide, molybdenum, platinum, or rhodium may be used. In particular, molybdenum is preferred from the viewpoint of the degree of freedom of installation in a furnace.


Examples

The present invention is hereinafter described by way of Examples. However, Examples below are merely examples, and the present invention is by no means limited to Examples below.


Examples (Sample Nos. 1 to 391) of the present invention are shown in Tables 1 to 28.

















TABLE 1







(mol %)
No. 1
No. 2
No. 3
No. 4
No. 5
No. 6
No. 7
No. 8





SiO2
62.3
62.8
63.3
63.8
64.3
64.8
65.3
65.8


Al2O3
14.0
13.8
13.7
13.5
13.3
13.1
12.9
12.7


B2O3
3.3
3.3
3.2
3.2
3.1
3.1
3.0
3.0


MgO
9.1
9.0
8.9
8.8
8.6
8.5
84
8.3


CaO
7.1
7.0
6.9
6.8
6.7
6.6
6.5
6.4


SrO
1.5
1.5
1.4
1.4
1.4
1.4
1.4
1.3


BaO
2.5
2.5
2.4
2.4
2.4
2.3
2.3
2.3


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
18.88
19.03
19.78
19.94
20.74
20.90
21.77
21.93


SrO + BaO
4.0
4.0
3.8
3.8
3.8
3.7
3.7
3.6


B2O3/BaO
1.3
1.3
1.3
1.3
1.3
1.3
1.3
1.3


BaO/(SrO + BaO)
0.6
0.6
0.6
0.6
0.6
0.6
0.6
0.6


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
19.9
20.0
21.1
21.2
21.2
21.9
21.9
22.6


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−6.2
−6.1
−6.2
−6.1
−5.9
−5.9
−5.7
−5.7


Thermal expansion
43.0
42.6
42.1
41.7
41.5
41.1
40.8
40.3


coefficient


(10−7/° C.)


Density (g/cm3)
2.64
2.63
2.63
2.62
2.62
2.61
2.61
2.60


Strain point (° C.)
699
699
702
702
704
704
705
706


Annealing point
763
763
766
766
767
768
769
770


(° C.)


Softening point
965
966
970
971
973
975
978
980


(° C.)


104.0 dPa · s (° C.)
1,218
1,225
1,232
1,238
1,246
1,252
1,259
1,265


103.0 dPa · s (° C.)
1,400
1,405
1,411
1,416
1,422
1,427
1,433
1,439


102.5 dPa · s (° C.)
1,455
1,463
1,472
1,480
1,490
1,499
1,508
1,517


Young's modulus
85.1
85.0
84.8
84.7
84.3
84.1
84.0
83.7


(GPa)


Specific Young's
32.3
32.3
32.3
32.3
32.2
32.3
32.2
32.2


modulus


(GPa/g · cm−3)


















(mol %)
No. 9
No. 10
No. 11
No. 12
No. 13
No. 14







SiO2
66.3
66.8
67.8
68.3
68.8
69.3



Al2O3
12.5
12.4
12.0
11.8
11.6
11.4



B2O3
2.9
2.9
2.8
2.8
2.7
2.7



MgO
8.1
8.0
7.8
7.7
7.5
7.4



CaO
6.3
6.2
6.1
6.0
5.9
5.8



SrO
1.3
1.3
1.3
1.2
1.2
1.2



BaO
2.2
2.2
2.1
2.1
2.1
2.0



ZnO
0.0
0.0
0.0
0.0
0.0
0.0



P2O5
0.0
0.0
0.0
0.0
0.0
0.0



SnO2
0.1
0.1
0.1
0.1
0.1
0.1



SiO2/B2O3
22.86
23.03
24.21
24.39
25.48
25.67



SrO + BaO
3.5
3.5
3.4
3.3
3.3
3.2



B2O3/BaO
1.3
1.3
1.3
1.3
1.3
1.4



BaO/(SrO + BaO)
0.6
0.6
0.6
0.6
0.6
0.6



(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
23.3
23.5
24.3
25.1
25.2
26.1



(CaO + SrO + BaO) − (Al2O3 + B2O3)
−5.6
−5.6
−5.3
−5.3
−5.1
−5.1



Thermal expansion
40.0
39.4
38.7
38.2
38.0
37.6



coefficient



(10−7/° C.)



Density (g/cm3)
2.59
2.59
2.58
2.57
2.57
2.56



Strain point (° C.)
708
709
711
711
713
714



Annealing point
772
773
775
775
777
778



(° C.)



Softening point
982
985
990
992
994
996



(° C.)



104.0 dPa · s (° C.)
1,273
1,280
1,293
1,300
1,307
1,313



103.0 dPa · s (° C.)
1,447
1,452
1,464
1,471
1,479
1,485



102.5 dPa · s (° C.)
1,529
1,536
1,552
1,561
1,572
1,581



Young's modulus
83.3
83.4
83.2
82.9
82.6
82.4



(GPa)



Specific Young's
32.1
32.2
32.3
32.3
32.2
32.2



modulus



(GPa/g · cm−3)
























TABLE 2







(mol %)
No. 15
No. 16
No. 17
No. 18
No. 19
No. 20
No. 21





SiO2
69.8
70.3
70.8
71.3
71.8
72.3
71.2


Al2O3
11.2
11.0
10.9
10.7
10.5
10.3
7.2


B2O3
2.6
2.6
2.6
2.5
2.5
2.4
3.0


MgO
7.3
7.2
7.1
6.9
6.8
6.7
8.4


CaO
5.7
5.6
5.5
5.4
5.3
5.2
6.5


SrO
1.2
1.2
1.1
1.1
1.1
1.1
1.4


BaO
2.0
2.0
1.9
1.9
1.9
1.8
2.3


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
26.85
27.04
27.23
28.52
28.72
30.13
23.73


SrO + BaO
3.2
3.2
3.0
3.0
3.0
2.9
3.7


B2O3/BaO
1.3
1.3
1.4
1.3
1.3
1.3
1.3


BaO/(SrO + BaO)
0.6
0.6
0.6
0.6
0.6
0.6
0.6


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
26.1
26.2
28.1
28.2
28.3
29.3
22.0


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−4.9
−4.8
−5.0
−4.8
−4.7
−4.6
0.0


Thermal expansion
37.3
37.0
36.3
36.2
35.9
35.6
40.9


coefficient


(10−7/° C.)


Density (g/cm3)
2.56
2.55
2.54
2.54
2.53
2.53
2.56


Strain point (° C.)
715
715
717
719
719
721
703


Annealing point
779
780
782
784
784
786
763


(° C.)


Softening point
999
1,000
1,004
1,007
1,009
1,011
976


(° C.)


104.0 dPa · s (° C.)
1,320
1,326
1,333
1,340
1,346
1,352
1,302


103.0 dPa · s (° C.)
1,493
1,499
1,507
1,516
1,523
1,531
1,473


102.5 dPa · s (° C.)
1,590
1,597
1,606
1,617
1,624
1,634
1,578


Young's modulus
82.2
82.1
82.0
81.6
81.5
81.3
79.6


(GPa)


Specific Young's
32.2
32.2
32.3
32.2
32.2
32.2
31.1


modulus


(GPa/g · cm−3)





(mol %)
No. 22
No. 23
No. 24
No. 25
No. 26
No. 27
No. 28





SiO2
70.8
70.4
70.0
69.7
69.3
68.9
68.5


Al2O3
7.7
8.2
8.7
9.2
9.7
10.2
10.7


B2O3
3.0
3.0
3.0
3.0
2.9
2.9
2.9


MgO
8.3
8.3
8.2
8.2
8.1
8.1
8.0


CaO
6.5
6.4
6.4
6.4
6.3
6.3
6.3


SrO
1.3
1.3
1.3
1.3
1.3
1.3
1.3


BaO
2.3
2.3
2.2
2.2
2.2
2.2
2.2


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
23.60
23.47
23.33
23.23
23.90
23.76
23.62


SrO + BaO
3.6
3.6
3.5
3.5
3.5
3.5
3.5


B2O3/BaO
1.3
1.3
1.4
1.4
1.3
1.3
1.3


BaO/(SrO + BaO)
0.6
0.6
0.6
0.6
0.6
0.6
0.6


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
22.6
22.7
23.3
23.4
23.4
23.4
23.5


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−0.6
−1.2
−1.8
−2.3
−2.8
−3.3
−3.8


Thermal expansion
40.7
40.4
40.2
39.8
39.8
39.6
39.5


coefficient


(10−7/° C.)


Density (g/cm3)
2.56
2.56
2.56
2.56
2.57
2.57
2.57


Strain point (° C.)
700
698
696
696
697
698
700


Annealing point
761
760
759
759
761
762
764


(° C.)


Softening point
976
976
976
976
978
979
981


(° C.)


104.0 dPa · s (° C.)
1,301
1,300
1,298
1,297
1,297
1,294
1,293


103.0 dPa · s (° C.)
1,474
1,473
1,473
1,472
1,472
1,469
1,467


102.5 dPa · s (° C.)
1,578
1,576
1,574
1,570
1,569
1,564
1,559


Young's modulus
79.8
80.2
80.5
81.1
81.3
81.8
82.1


(GPa)


Specific Young's
31.2
31.3
31.4
31.7
31.7
31.8
31.9


modulus


(GPa/g · cm−3)























TABLE 3







(mol %)
No. 29
No. 30
No. 31
No. 32
No. 33
No. 34
No. 35





SiO2
68.1
67.7
67.0
66.6
66.2
65.8
65.4


Al2O3
11.2
11.7
12.7
13.2
13.7
14.2
14.7


B2O3
2.9
2.9
2.8
2.8
2.8
2.8
2.8


MgO
8.0
7.9
7.9
7.8
7.8
7.7
7.7


CaO
6.2
6.2
6.1
6.1
6.0
6.0
6.0


SrO
1.3
1.3
1.3
1.3
1.3
1.3
1.2


BaO
2.2
2.2
2.2
2.1
2.1
2.1
2.1


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
23.48
23.34
23.93
23.79
23.64
23.50
23.36


SrO + BaO
3.5
3.5
3.5
3.4
3.4
3.4
3.3


B2O3/BaO
1.3
1.3
1.3
1.3
1.3
1.3
1.3


BaO/(SrO + BaO)
0.6
0.6
0.6
0.6
0.6
0.6
0.6


(SiO2 + Al2O3 + B2O3)/
23.5
23.5
23.6
24.3
24.3
24.4
25.1


(SrO + BaO)


(CaO + SrO + BaO) −
−4.4
−4.9
−5.9
−6.5
−7.1
−7.6
−8.2


(Al2O3 + B2O3)


Thermal expansion
39.3
39.2
38.9
38.7
38.5
38.4
38.2


coefficient


(10−7/° C.)


Density (g/cm3)
2.58
2.58
2.58
2.59
2.59
2.59
2.59


Strain point (° C.)
702
706
715
719
724
728
732


Annealing point
767
770
777
781
784
787
789


(° C.)


Softening point
983
985
991
993
995
997
999


(° C.)


104.0 dPa · s (° C.)
1,291
1,289
1,286
1,284
1,283
1,281
1,280


103.0 dPa · s (° C.)
1,464
1,461
1,455
1,451
1,446
1,441
1,436


102.5 dPa · s (° C.)
1,554
1,549
1,538
1,533
1,527
1,522
1,516


Young's modulus
82.5
82.9
83.9
84.1
84.5
84.8
85.3


(GPa)


Specific Young's
32.0
32.1
32.4
32.5
32.7
32.7
32.9


modulus


(GPa/g · cm−3)





(mol %)
No. 36
No. 37
No. 38
No. 39
No. 40
No. 41
No. 42





SiO2
65.0
64.7
64.3
63.9
63.5
69.1
68.7


Al2O3
15.2
15.7
16.2
16.7
17.2
12.5
12.4


B2O3
2.8
2.7
2.7
2.7
2.7
0.4
0.9


MgO
7.6
7.6
7.5
7.5
7.4
8.1
8.1


CaO
5.9
5.9
5.9
5.8
5.8
6.3
6.3


SrO
1.2
1.2
1.2
1.2
1.2
1.3
1.3


BaO
2.1
2.1
2.1
2.1
2.0
2.2
2.2


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
23.21
23.96
23.81
23.67
23.52
172.75
76.33


SrO + BaO
3.3
3.3
3.3
3.3
3.2
3.5
3.5


B2O3/BaO
1.3
1.3
1.3
1.3
1.4
0.2
0.4


BaO/(SrO + BaO)
0.6
0.6
0.6
0.6
0.6
0.6
0.6


(SiO2 + Al2O3 + B2O3)/
25.2
25.2
25.2
25.2
26.1
23.4
23.4


(SrO + BaO)


(CaO + SrO + BaO) −
−8.8
−9.2
−9.7
−10.3
−10.9
−3.1
−3.5


(Al2O3 + B2O3)


Thermal expansion
38.1
38.0
37.9
37.7
37.5
39.1
39.2


coefficient


(10−7/° C.)


Density (g/cm3)
2.60
2.60
2.60
2.60
2.60
2.61
2.60


Strain point (° C.)
735
739
741
743
745
744
736


Annealing point
791
793
793
793
793
803
796


(° C.)


Softening point
1,001
1,003
1,004
1,005
1,006
1,023
1,014


(° C.)


104.0 dPa · s (° C.)
1,280
1,280
1,280
1,280
1,280
1,322
1,314


103.0 dPa · s (° C.)
1,431
1,427
1,423
1,418
1,415
1,485
1,478


102.5 dPa · s (° C.)
1,514
1,510
1,506
1,503
1,502
1,578
1,270


Young's modulus
85.5
86.1
86.4
86.8
87.0
86.1
85.5


(GPa)


Specific Young's
32.9
33.1
33.2
33.3
33.4
33.0
32.9


modulus


(GPa/g · cm−3)























TABLE 4







(mol %)
No. 43
No. 44
No. 45
No. 46
No. 47
No. 48
No. 49





SiO2
68.4
68.0
67.7
67.0
66.7
66.3
66.0


Al2O3
12.4
12.3
12.2
12.1
12.0
12.0
11.9


B2O3
1.4
1.9
2.4
3.4
3.9
4.4
4.9


MgO
8.0
8.0
7.9
7.9
7.8
7.8
7.7


CaO
6.2
6.2
6.2
6.1
6.1
6.1
6.0


SrO
1.3
1.3
1.3
1.3
1.3
1.3
1.3


BaO
2.2
2.2
2.2
2.2
2.1
2.1
2.1


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
48.86
35.79
28.21
19.71
17.10
15.07
13.47


SrO + BaO
3.5
3.5
3.5
3.5
3.4
3.4
3.4


B2O3/BaO
0.6
0.9
1.1
1.5
1.9
2.1
2.3


BaO/(SrO + BaO)
0.6
0.6
0.6
0.6
0.6
0.6
0.6


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
23.5
23.5
23.5
23.6
24.3
24.3
24.4


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−4.1
−4.5
−4.9
−5.9
−6.4
−6.9
−7.4


Thermal expansion
39.0
39.1
39.1
39.0
38.9
38.8
38.8


coefficient


(10−7/° C.)


Density (g/cm3)
2.60
2.59
2.59
2.58
2.57
2.56
2.56


Strain point (° C.)
730
723
716
703
696
690
684


Annealing point
791
785
778
767
762
757
751


(° C.)


Softening point
1,008
999
993
981
976
971
966


(° C.)


104.0 dPa · s (° C.)
1,309
1,300
1,294
1,280
1,274
1,266
1,261


103.0 dPa · s (° C.)
1,475
1,468
1,464
1,452
1,447
1,440
1,436


102.5 dPa · s (° C.)
1,564
1,556
1,551
1,537
1,534
1,527
1,525


Young's modulus
84.9
84.4
83.7
82.8
82.1
81.7
81.0


(GPa)


Specific Young's
32.7
32.6
32.4
32.1
32.0
31.9
31.7


modulus


(GPa/g · cm−3)





(mol %)
No. 50
No. 51
No. 52
No. 53
No. 54
No. 55
No. 56





SiO2
65.6
65.3
64.9
64.6
64.2
63.9
71.0


Al2O3
11.9
11.8
11.7
11.7
11.6
11.5
12.8


B2O3
5.4
5.9
6.4
6.9
7.4
7.9
3.0


MgO
7.7
7.7
7.6
7.6
7.5
7.5
2.9


CaO
6.0
6.0
5.9
5.9
5.9
5.8
6.5


SrO
1.2
1.2
1.2
1.2
1.2
1.2
1.4


BaO
2.1
2.1
2.1
2.1
2.1
2.1
2.3


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
12.15
11.07
10.14
9.36
8.68
8.09
23.67


SrO + BaO
3.3
3.3
3.3
3.3
3.3
3.3
3.7


B2O3/BaO
2.6
2.8
3.0
3.3
3.5
3.8
1.3


BaO/(SrO + BaO)
0.6
0.6
0.6
0.6
0.6
0.6
0.6


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
25.1
25.2
25.2
25.2
25.2
25.2
23.5


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−8.0
−8.4
−8.9
−9.4
−9.8
−10.3
−5.6


Thermal expansion
38.7
38.6
38.7
38.5
38.7
38.6
35.7


coefficient


(10−7/° C.)


Density (g/cm3)
2.55
2.55
2.54
2.54
2.53
2.53
2.54


Strain point (° C.)
679
672
666
661
655
650
735


Annealing point
747
741
736
732
726
721
796


(° C.)


Softening point
962
958
955
952
950
948
1,037


(° C.)


104.0 dPa · s (° C.)
1,254
1,248
1,243
1,238
1,232
1,228
1,368


103.0 dPa · s (° C.)
1,428
1,422
1,417
1,410
1,404
1,399
1,534


102.5 dPa · s (° C.)
1,520
1,517
1,516
1,512
1,511
1,511
1,641


Young's modulus
80.5
80.0
79.2
78.9
78.2
77.6
80.3


(GPa)


Specific Young's
31.5
31.4
31.1
31.1
30.9
30.7
31.6


modulus


(GPa/g · cm−3)























TABLE 5







(mol %)
No. 57
No. 58
No. 59
No. 60
No. 61
No. 62
No. 63





SiO2
70.6
70.3
69.9
69.5
69.2
68.8
68.4


Al2O3
12.8
12.7
12.6
12.6
12.5
12.4
12.4


B2O3
3.0
3.0
3.0
3.0
2.9
2.9
2.9


MgO
3.4
3.9
4.4
4.9
5.4
5.9
6.4


CaO
6.5
6.4
6.4
6.4
6.3
6.3
6.3


SrO
1.3
1.3
1.3
1.3
1.3
1.3
1.3


BaO
2.3
2.3
2.2
2.2
2.2
2.2
2.2


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
23.53
23.43
23.30
23.17
23.86
23.72
23.59


SrO + BaO
3.6
3.6
3.5
3.5
3.5
3.5
3.5


B2O3/BaO
1.3
1.3
1.4
1.4
1.3
1.3
1.3


BaO/(SrO + BaO)
0.6
0.6
0.6
0.6
0.6
0.6
0.6


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
24.0
23.9
24.4
24.3
24.2
24.0
23.9


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−5.7
−5.7
−5.7
−5.7
−5.6
−5.5
−5.5


Thermal expansion
35.9
36.2
36.5
36.8
37.2
37.7
38.0


coefficient


(10−7/° C.)


Density (g/cm3)
2.55
2.55
2.55
2.56
2.56
2.57
2.57


Strain point (° C.)
733
731
728
726
724
721
718


Annealing point
794
791
788
785
784
781
779


(° C.)


Softening point
1,032
1,027
1,021
1,016
1,012
1,006
1,001


(° C.)


104.0 dPa · s (° C.)
1,360
1,353
1,344
1,336
1,329
1,320
1,311


103.0 dPa · s (° C.)
1,525
1,517
1,509
1,500
1,494
1,487
1,478


102.5 dPa · s (° C.)
1,631
1,622
1,613
1,601
1,594
1,583
1,572


Young's modulus
80.6
80.9
81.0
81.5
81.7
82.0
82.4


(GPa)


Specific Young's
31.7
31.7
31.8
31.9
31.9
31.9
32.1


modulus


(GPa/g · cm−3)





(mol %)
No. 64
No. 65
No. 66
No. 67
No. 68
No. 69
No. 70





SiO2
68.1
67.7
67.0
66.6
66.2
65.9
65.5


Al2O3
12.3
12.2
12.1
12.0
12.0
11.9
11.8


B2O3
2.9
2.9
2.8
2.8
2.8
2.8
2.8


MgO
6.9
7.4
8.4
8.9
9.4
9.9
10.4


CaO
6.2
6.2
6.1
6.1
6.1
6.0
6.0


SrO
1.3
1.3
1.3
1.3
1.3
1.3
1.2


BaO
2.2
2.2
2.2
2.1
2.1
2.1
2.1


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
23.48
23.34
23.93
23.79
23.64
23.54
23.39


SrO + BaO
3.5
3.5
3.5
3.4
3.4
3.4
3.3


B2O3/BaO
1.3
1.3
1.3
1.3
1.3
1.3
1.3


BaO/(SrO + BaO)
0.6
0.6
0.6
0.6
0.6
0.6
0.6


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
23.8
23.7
23.4
23.9
23.8
23.7
24.3


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−5.5
−5.4
−5.3
−5.3
−5.3
−5.3
−5.3


Thermal expansion
38.3
38.7
39.5
39.9
40.2
40.5
40.9


coefficient


(10−7/° C.)


Density (g/cm3)
2.57
2.58
2.59
2.59
2.59
2.60
2.60


Strain point (° C.)
715
712
707
704
702
700
698


Annealing point
777
775
772
770
768
766
764


(° C.)


Softening point
997
991
983
979
975
972
969


(° C.)


104.0 dPa · s (° C.)
1,304
1,295
1,279
1,270
1,261
1,254
1,245


103.0 dPa · s (° C.)
1,472
1,465
1,452
1,445
1,437
1,431
1,424


102.5 dPa · s (° C.)
1,564
1,553
1,535
1,526
1,515
1,508
1,499


Young's modulus
82.7
82.9
83.6
83.8
84.2
84.5
84.6


(GPa)


Specific Young's
32.1
32.2
32.3
32.4
32.5
32.5
32.6


modulus


(GPa/g · cm−3)























TABLE 6







(mol %)
No. 71
No. 72
No. 73
No. 74
No. 75
No. 76
No. 77





SiO2
65.2
64.8
64.4
64.1
63.7
70.9
70.6


Al2O3
11.8
11.7
11.6
11.6
11.5
12.8
12.8


B2O3
2.8
2.7
2.7
2.7
2.7
3.0
3.0


MgO
10.9
11.4
11.9
12.4
12.9
8.3
8.3


CaO
6.0
5.9
5.9
5.9
5.8
1.2
1.7


SrO
1.2
1.2
1.2
1.2
1.2
1.3
1.3


BaO
2.1
2.1
2.1
2.1
2.0
2.3
2.3


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
23.29
24.00
23.85
23.74
23.59
23.63
23.53


SrO + BaO
3.3
3.3
3.3
3.3
3.2
3.6
3.6


B2O3/BaO
1.3
1.3
1.3
1.3
1.4
1.3
1.3


BaO/(SrO + BaO)
0.6
0.6
0.6
0.6
0.6
0.6
0.6


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
24.2
24.0
23.8
23.8
24.3
24.1
24.0


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−5.3
−5.2
−5.1
−5.1
−5.2
−11.0
−10.5


Thermal expansion
41.0
41.6
42.1
42.2
42.6
32.0
32.5


coefficient


(10−7/° C.)


Density (g/cm3)
2.60
2.61
2.61
2.62
2.62
2.53
2.53


Strain point (° C.)
697
697
696
696
696
742
740


Annealing point
762
761
759
757
756
803
800


(° C.)


Softening point
966
964
962
960
958
1,021
1,018


(° C.)


104.0 dPa · s (° C.)
1,238
1,230
1,221
1,214
1,205
1,358
1,352


103.0 dPa · s (° C.)
1,418
1,412
1,405
1,399
1,393
1,521
1,512


102.5 dPa · s (° C.)
1,489
1,482
1,474
1,464
1,457
1,628
1,619


Young's modulus
85.2
85.3
85.6
86.1
86.2
82.7
83.0


(GPa)


Specific Young's
32.8
32.7
32.7
32.9
32.9
32.6
32.7


modulus


(GPa/g · cm−3)





(mol %)
No. 78
No. 79
No. 80
No. 81
No. 82
No. 83
No. 84





SiO2
70.2
69.9
69.5
69.1
68.8
68.4
68.1


Al2O3
12.7
12.6
12.6
12.5
12.4
12.4
12.3


B2O3
3.0
3.0
3.0
2.9
2.9
2.9
2.9


MgO
8.2
8.2
8.2
8.1
8.1
8.0
8.0


CaO
2.2
2.7
3.2
3.7
4.2
4.7
5.2


SrO
1.3
1.3
1.3
1.3
1.3
1.3
1.3


BaO
2.3
2.2
2.2
2.2
2.2
2.2
2.2


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
23.40
23.30
23.17
23.83
23.72
23.59
23.48


SrO + BaO
3.6
3.5
3.5
3.5
3.5
3.5
3.5


B2O3/BaO
1.3
1.4
1.4
1.3
1.3
1.3
1.3


BaO/(SrO + BaO)
0.6
0.6
0.6
0.6
0.6
0.6
0.6


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
23.9
24.4
24.3
24.1
24.0
23.9
23.8


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−9.9
−9.4
−8.9
−8.2
−7.6
−7.1
−6.5


Thermal expansion
33.2
33.8
34.4
35.4
36.0
36.8
37.4


coefficient


(10−7/° C.)


Density (g/cm3)
2.54
2.54
2.55
2.56
2.56
2.57
2.57


Strain point (° C.)
736
733
730
728
724
721
717


Annealing point
798
795
793
790
787
784
780


(° C.)


Softening point
1,015
1,011
1,008
1,005
1,001
998
994


(° C.)


104.0 dPa · s (° C.)
1,344
1,337
1,330
1,322
1,315
1,308
1,301


103.0 dPa · s (° C.)
1,504
1,497
1,489
1,484
1,479
1,473
1,468


102.5 dPa · s (° C.)
1,611
1,603
1,592
1,585
1,576
1,568
1,559


Young's modulus
82.8
82.9
83.1
83.0
83.1
83.2
83.3


(GPa)


Specific Young's
32.6
32.6
32.6
32.5
32.5
32.4
32.4


modulus


(GPa/g · cm−3)























TABLE 7







(mol %)
No. 85
No. 86
No. 87
No. 88
No. 89
No. 90
No. 91





SiO2
67.7
67.0
66.6
66.3
65.9
65.6
65.2


Al2O3
12.2
12.1
12.0
12.0
11.9
11.8
11.8


B2O3
2.9
2.8
2.8
2.8
2.8
2.8
2.8


MgO
7.9
7.9
7.8
7.8
7.7
7.7
7.6


CaO
5.7
6.7
7.2
7.7
8.2
8.7
9.2


SrO
1.3
1.3
1.3
1.3
1.3
1.2
1.2


BaO
2.2
2.2
2.1
2.1
2.1
2.1
2.1


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
23.34
23.93
23.79
23.68
23.54
23.43
23.29


SrO + BaO
3.5
3.5
3.4
3.4
3.4
3.3
3.3


B2O3/BaO
1.3
1.3
1.3
1.3
1.3
1.3
1.3


BaO/(SrO + BaO)
0.6
0.6
0.6
0.6
0.6
0.6
0.6


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
23.7
23.4
23.9
23.9
23.7
24.3
24.2


(CaO + SrO + BaO) −
−5.9
−4.7
−4.2
−3.7
−3.1
−2.6
−2.1


(Al2O3 + B2O3)


Thermal expansion
38.3
39.9
40.7
41.3
42.2
42.9
43.6


coefficient


(10−7/° C.)


Density (g/cm3)
2.58
2.59
2.59
2.59
2.60
2.60
2.61


Strain point (° C.)
713
706
702
699
695
691
688


Annealing point
776
770
766
762
758
754
750


(° C.)


Softening point
990
984
981
979
976
974
973


(° C.)


104.0 dPa · s (° C.)
1,294
1,280
1,272
1,266
1,259
1,253
1,247


103.0 dPa · s (° C.)
1,464
1,452
1,447
1,440
1,434
1,428
1,421


102.5 dPa · s (° C.)
1,552
1,536
1,530
1,522
1,516
1,511
1,505


Young's modulus
83.2
83.5
83.3
83.6
83.5
83.5
83.6


(GPa)


Specific Young's
32.3
32.3
32.1
32.2
32.1
32.1
32.0


modulus


(GPa/g · cm−3)





(mol %)
No. 92
No. 93
No. 94
No. 95
No. 96
No. 97
No. 98





SiO2
64.8
64.5
64.1
63.8
68.0
67.7
67.0


Al2O3
11.7
11.6
11.6
11.5
12.3
12.2
12.1


B2O3
2.8
2.7
2.7
2.7
2.9
2.9
2.8


MgO
7.6
7.6
7.5
7.5
8.0
7.9
7.9


CaO
9.7
10.2
10.7
11.2
6.2
6.2
6.1


SrO
1.2
1.2
1.2
1.2
0.3
0.8
1.8


BaO
2.1
2.1
2.1
2.0
2.2
2.2
2.2


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
23.14
23.89
23.74
23.63
23.45
23.34
23.93


SrO + BaO
3.3
3.3
3.3
3.2
2.5
3.0
4.0


B2O3/BaO
1.3
1.3
1.3
1.4
1.3
1.3
1.3


BaO/(SrO + BaO)
0.6
0.6
0.6
0.6
0.9
0.7
0.6


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
24.0
23.9
23.8
24.4
33.3
27.6
20.5


(CaO + SrO + BaO) −
−1.5
−0.8
−0.3
0.2
−6.5
−5.9
−4.8


(Al2O3 + B2O3)


Thermal expansion
44.4
45.2
46.0
46.5
37.2
38.2
40.0


coefficient


(10−7/° C.)


Density (g/cm3)
2.62
2.62
2.63
2.63
2.56
2.57
2.59


Strain point (° C.)
683
681
678
674
716
712
707


Annealing point
746
742
739
735
780
776
770


(° C.)


Softening point
971
970
969
969
996
991
983


(° C.)


104.0 dPa · s (° C.)
1,240
1,235
1,229
1,224
1,296
1,292
1,282


103.0 dPa · s (° C.)
1,414
1,407
1,400
1,394
1,464
1,462
1,455


102.5 dPa · s (° C.)
1,499
1,495
1,490
1,486
1,554
1,549
1,539


Young's modulus
83.6
83.7
83.8
83.8
83.5
83.3
83.2


(GPa)


Specific Young's
32.0
31.9
31.9
31.9
32.6
32.4
32.1


modulus


(GPa/g · cm−3)























TABLE 8







(mol %)
No. 99
No. 100
No. 101
No. 102
No. 103
No. 104
No. 105





SiO2
66.7
66.3
66.0
65.6
65.3
65.0
64.6


Al2O3
12.0
12.0
11.9
11.9
11.8
11.7
11.7


B2O3
2.8
2.8
2.8
2.8
2.8
2.8
2.7


MgO
7.8
7.8
7.7
7.7
7.7
7.6
7.6


CaO
6.1
6.1
6.0
6.0
6.0
5.9
5.9


SrO
2.3
2.8
3.3
3.8
4.3
4.8
5.3


BaO
2.1
2.1
2.1
2.1
2.1
2.1
2.1


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
23.82
23.68
23.57
23.43
23.32
23.21
23.93


SrO + BaO
4.4
4.9
5.4
5.9
6.4
6.9
7.4


B2O3/BaO
1.3
1.3
1.3
1.3
1.3
1.3
1.3


BaO/(SrO + BaO)
0.5
0.4
0.4
0.4
0.3
0.3
0.3


(SiO2 + Al2O3 + B2O3)/
18.5
16.6
14.9
13.6
12.5
11.5
10.7


(SrO + BaO)


(CaO + SrO + BaO) −
−4.3
−3.8
−3.3
−2.8
−2.2
−1.7
−1.1


(Al2O3 + B2O3)


Thermal expansion
40.9
41.8
42.7
43.6
44.5
45.4
46.3


coefficient


(10−7/° C.)


Density (g/cm3)
2.60
2.62
2.63
2.64
2.65
2.66
2.67


Strain point (° C.)
705
702
701
699
697
697
698


Annealing point
767
763
760
757
753
751
749


(° C.)


Softening point
980
977
974
972
970
969
968


(° C.)


104.0 dPa · s (° C.)
1,278
1,273
1,269
1,264
1,260
1,257
1,252


103.0 dPa · s (° C.)
1,451
1,446
1,442
1,436
1,431
1,427
1,420


102.5 dPa · s (° C.)
1,536
1,530
1,528
1,522
1,519
1,518
1,514


Young's modulus
82.9
83.0
82.6
82.7
82.7
82.3
82.4


(GPa)


Specific Young's
31.9
31.7
31.5
31.3
31.2
30.9
30.8


modulus


(GPa/g · cm−3)





(mol %)
No. 106
No. 107
No. 108
No. 109
No. 110
No. 111
No. 112





SiO2
64.3
63.9
68.7
68.4
68.0
67.7
67.0


Al2O3
11.6
11.5
12.4
12.4
12.3
12.2
12.1


B2O3
2.7
2.7
2.9
2.9
2.9
2.9
2.8


MgO
7.5
7.5
8.1
8.0
8.0
7.9
7.9


CaO
5.9
5.8
6.3
6.2
6.2
6.2
6.1


SrO
5.8
6.3
1.3
1.3
1.3
1.3
1.3


BaO
2.1
2.1
0.2
0.7
1.2
1.7
2.7


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
23.81
23.67
23.69
23.59
23.45
23.34
23.93


SrO + BaO
7.9
8.4
1.5
2.0
2.5
3.0
4.0


B2O3/BaO
1.3
1.3
14.5
4.1
2.4
1.7
1.0


BaO/(SrO + BaO)
0.3
0.3
0.1
0.4
0.5
0.6
0.7


(SiO2 + Al2O3 + B2O3)/
9.9
9.3
56.0
41.9
33.3
27.6
20.5


(SrO + BaO)


(CaO + SrO + BaO) −
−0.5
0.0
−7.5
−7.1
−6.5
−5.9
−4.8


(Al2O3 + B2O3)


Thermal expansion
47.2
48.1
35.1
35.9
37.0
38.1
40.2


coefficient


(10−7/° C.)


Density (g/cm3)
2.69
2.70
2.51
2.53
2.54
2.56
2.60


Strain point (° C.)
697
698
721
719
715
712
708


Annealing point
747
745
788
785
781
777
770


(° C.)


Softening point
968
967
1,002
1,000
995
991
984


(° C.)


104.0 dPa · s (° C.)
1,249
1,244
1,300
1,298
1,293
1,290
1,284


103.0 dPa · s (° C.)
1,415
1,409
1,464
1,464
1,462
1,461
1,456


102.5 dPa · s (° C.)
1,512
1,510
1,558
1,555
1,550
1,548
1,541


Young's modulus
82.2
81.9
84.4
84.1
83.8
83.5
83.1


(GPa)


Specific Young's
30.6
30.3
33.7
33.3
32.9
32.6
31.9


modulus


(GPa/g · cm−3)























TABLE 9







(mol %)
No. 113
No. 114
No. 115
No. 116
No. 117
No. 118
No. 119





SiO2
66.7
66.3
66.0
65.6
65.3
64.9
64.6


Al2O3
12.0
12.0
11.9
11.9
11.8
11.7
11.7


B2O3
2.8
2.8
2.8
2.8
2.8
2.8
2.7


MgO
7.8
7.8
7.7
7.7
7.7
7.6
7.6


CaO
6.1
6.1
6.0
6.0
6.0
5.9
5.9


SrO
1.3
1.3
1.3
1.2
1.2
1.2
1.2


BaO
3.2
3.7
4.2
4.7
5.2
5.7
6.2


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
23.82
23.68
23.57
23.43
23.32
23.18
23.93


SrO + BaO
4.5
5.0
55
5.9
6.4
6.9
7.4


B2O3/BaO
0.9
0.8
0.7
0.6
0.5
0.5
0.4


BaO/(SrO + BaO)
0.7
0.7
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/
18.1
16.2
14.7
13.6
12.5
11.5
10.7


(SrO + BaO)


(CaO + SrO + BaO) −
−4.2
−3.7
−3.2
−2.8
−2.2
−1.7
−1.1


(Al2O3 + B2O3)


Thermal expansion
41.2
42.2
43.3
44.2
45.1
46.3
47.2


coefficient


(10−7/° C.)


Density (g/cm3)
2.62
2.64
2.66
2.68
2.69
2.71
2.73


Strain point (° C.)
705
703
702
701
700
701
702


Annealing point
766
763
760
757
754
753
752


(° C.)


Softening point
980
977
975
973
972
971
971


(° C.)


104.0 dPa · s (° C.)
1,281
1,277
1,275
1,271
1,268
1,265
1,263


103.0 dPa · s (° C.)
1,453
1,448
1,446
1,441
1,436
1,431
1,427


102.5 dPa · s (° C.)
1,539
1,534
1,534
1,530
1,528
1,527
1,525


Young's modulus
82.7
82.6
82.1
81.9
81.7
81.2
81.2


(GPa)


Specific Young's
31.6
31.3
30.9
30.6
30.4
29.9
29.7


modulus


(GPa/g · cm−3)





(mol %)
No. 120
No. 121
No. 122
No. 123
No. 124
No. 125
No. 126





SiO2
64.2
63.9
67.2
67.1
66.9
66.8
66.7


Al2O3
11.6
11.5
12.1
12.1
12.1
12.1
12.0


B2O3
2.7
2.7
2.9
2.8
2.8
2.8
2.8


MgO
7.5
7.5
7.9
7.9
7.9
7.8
7.8


CaO
5.9
5.8
6.1
6.1
6.1
6.1
6.1


SrO
1.2
1.2
1.3
1.3
1.3
1.3
1.3


BaO
6.7
7.2
2.2
2.2
2.2
2.1
2.1


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.2
0.4
0.6
0.8
1.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
23.78
23.67
23.17
23.96
23.89
23.86
23.82


SrO + BaO
7.9
8.4
3.5
3.5
3.5
3.4
3.4


B2O3/BaO
0.4
0.4
1.3
1.3
1.3
1.3
1.3


BaO/(SrO + BaO)
0.8
0.9
0.6
0.6
0.6
0.6
0.6


(SiO2 + Al2O3 + B2O3)/
9.9
9.3
23.5
23.4
23.4
24.0
24.0


(SrO + BaO)


(CaO + SrO + BaO) −
−0.5
0.0
−5.4
−5.3
−5.3
−5.4
−5.3


(Al2O3 + B2O3)


Thermal expansion
48.3
49.1
39.0
39.0
39.0
38.9
38.9


coefficient


(10−7/° C.)


Density (g/cm3)
2.75
2.77
2.58
2.58
2.58
2.57
2.57


Strain point (° C.)
703
704
708
709
708
708
707


Annealing point
750
750
771
771
769
769
767


(° C.)


Softening point
971
971
985
985
983
983
981


(° C.)


104.0 dPa · s (° C.)
1,260
1,258
1,287
1,289
1,289
1,290
1,291


103.0 dPa · s (° C.)
1,421
1,416
1,459
1,461
1,461
1,463
1,463


102.5 dPa · s (° C.)
1,524
1,523
1,545
1,548
1,548
1,551
1,553


Young's modulus
80.7
80.4
82.9
82.7
82.4
82.0
81.7


(GPa)


Specific Young's
29.3
29.0
32.1
32.1
32.0
31.9
31.8


modulus


(GPa/g · cm−3)























TABLE 10







(mol %)
No. 127
No. 128
No. 129
No. 130
No. 131
No. 132
No. 133





SiO2
66.5
66.4
66.3
66.1
66.0
65.9
65.7


Al2O3
12.0
12.0
12.0
11.9
11.9
11.9
11.9


B2O3
2.8
2.8
2.8
2.8
2.8
2.8
2.8


MgO
7.8
7.8
7.8
7.8
7.7
7.7
7.7


CaO
6.1
6.1
6.1
6.0
6.0
6.0
6.0


SrO
1.3
1.3
1.3
1.3
1.3
1.3
1.2


BaO
2.1
2.1
2.1
2.1
2.1
2.1
2.1


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
1.2
1.4
1.6
1.8
2.0
2.2
2.4


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
23.75
23.71
23.68
23.61
23.57
23.54
23.46


SrO + BaO
3.4
3.4
3.4
3.4
3.4
3.4
3.3


B2O3/BaO
1.3
1.3
1.3
1.3
1.3
1.3
1.3


BaO/(SrO + BaO)
0.6
0.6
0.6
0.6
0.6
0.6
0.6


(SiO2 + Al2O3 +
23.9
23.9
23.9
23.8
23.7
23.7
24.4


B2O3)/(SrO + BaO)


(CaO + SrO + BaO) −
−5.3
−5.3
−5.3
−5.3
−5.3
−5.3
−5.4


(Al2O3 + B2O3)


Thermal expansion
38.9
38.7
38.6
38.8
38.7
38.5
38.5


coefficient


(10−7/° C.)


Density (g/cm3)
2.57
2.56
2.56
2.56
2.55
2.55
2.55


Strain point (° C.)
706
706
705
704
704
704
703


Annealing point
765
764
762
761
759
758
757


(° C.)


Softening point
979
978
977
975
974
974
972


(° C.)


104.0 dPa · s (° C.)
1,291
1,292
1,293
1,293
1,294
1,296
1,295


103.0 dPa · s (° C.)
1,463
1,464
1,465
1,465
1,467
1,467
1,467


102.5 dPa · s (° C.)
1,553
1,554
1,554
1,557
1,559
1,560
1,561


Young's modulus
81.4
81.2
81.1
80.5
80.1
80.0
79.6


(GPa)


Specific Young's
31.7
31.7
31.7
31.5
31.4
31.3
31.2


modulus


(GPa/g · cm−3)





(mol %)
No. 134
No. 135
No. 136
No. 137
No. 138
No. 139
No. 140





SiO2
65.6
65.5
65.3
65.2
65.1
64.9
64.8


Al2O3
11.8
11.8
11.8
11.8
11.8
11.7
11.7


B2O3
2.8
2.8
2.8
2.8
2.8
2.8
2.7


MgO
7.7
7.7
7.7
7.6
7.6
7.6
7.6


CaO
6.0
6.0
6.0
6.0
5.9
5.9
5.9


SrO
1.2
1.2
1.2
1.2
1.2
1.2
1.2


BaO
2.1
2.1
2.1
2.1
2.1
2.1
2.1


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
2.6
2.8
3.0
3.2
3.4
3.6
3.8


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
23.43
23.39
23.32
23.29
23.25
23.18
24.00


SrO + BaO
3.3
3.3
3.3
3.3
3.3
3.3
3.3


B2O3/BaO
1.3
1.3
1.3
1.3
1.3
1.3
1.3


BaO/(SrO + BaO)
0.6
0.6
0.6
0.6
0.6
0.6
0.6


(SiO2 + Al2O3 +
24.3
24.3
24.2
24.2
24.2
24.1
24.0


B2O3)/(SrO + BaO)


(CaO + SrO + BaO) −
−5.3
−5.3
−5.3
−5.3
−5.4
−5.3
−5.2


(Al2O3 + B2O3)


Thermal expansion
38.5
38.3
38.4
38.3
38.1
38.3
38.3


coefficient


(10−7/° C.)


Density (g/cm3)
2.55
2.54
2.54
2.54
2.53
2.53
2.53


Strain point (° C.)
702
702
701
701
701
699
700


Annealing point
755
754
752
751
750
748
748


(° C.)


Softening point
971
970
969
969
968
966
967


(° C.)


104.0 dPa · s (° C.)
1,296
1,297
1,297
1,299
1,300
1,299
1,301


103.0 dPa · s (° C.)
1,468
1,468
1,467
1,469
1,470
1,469
1,470


102.5 dPa · s (° C.)
1,562
1,563
1,563
1,565
1,567
1,567
1,569


Young's modulus
79.2
79.1
78.8
78.4
78.1
77.7
77.5


(GPa)


Specific Young's
31.1
31.1
31.0
30.9
30.9
30.7
30.6


modulus


(GPa/g · cm−3)























TABLE 11







(mol %)
No. 141
No. 142
No. 143
No. 144
No. 145
No. 146
No. 147





SiO2
64.7
60.9
61.4
61.9
62.4
62.9
63.4


Al2O3
11.7
15.3
15.1
14.9
14.7
14.5
14.3


B2O3
2.7
3.3
3.3
3.2
3.2
3.1
3.1


MgO
7.6
9.2
9.1
8.9
8.8
8.7
8.6


CaO
5.9
7.1
7.1
7.0
6.9
6.8
6.7


SrO
1.2
0.7
0.7
0.7
0.7
0.7
0.7


BaO
2.1
3.0
3.0
2.9
2.9
2.9
2.8


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
4.0
0.3
0.3
0.3
0.3
0.3
0.3


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
23.96
18.45
18.61
19.34
19.50
20.29
20.45


SrO + BaO
3.3
3.7
3.7
3.6
3.6
3.6
3.5


B2O3/BaO
1.3
1.1
1.1
1.1
1.1
1.1
1.1


BaO/(SrO + BaO)
0.6
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/
24.0
21.5
21.6
22.2
22.3
22.4
23.1


(SrO + BaO)


(CaO + SrO + BaO) −
−5.2
−7.8
−7.6
−7.5
−7.4
−7.2
−7.2


(Al2O3 + B2O3)


Thermal expansion
38.1
42.3
42.0
41.8
41.5
41.3
40.8


coefficient


(10−7/° C.)


Density (g/cm3)
2.53
2.65
2.64
2.64
2.63
2.63
2.62


Strain point (° C.)
700
711
711
712
712
713
713


Annealing point
747
772
771
773
773
773
774


(° C.)


Softening point
967
971
972
973
975
976
978


(° C.)


104.0 dPa · s (° C.)
1,302
1,216
1,221
1,227
1,233
1,239
1,245


103.0 dPa · s (° C.)
1,470
1,392
1,395
1,402
1,406
1,412
1,417


102.5 dPa · s (° C.)
1,569
1,439
1,445
1,455
1,463
1,472
1,480


Young's modulus
77.3
85.7
85.7
85.3
85.1
85.0
84.8


(GPa)


Specific Young's
30.6
32.4
32.5
32.4
32.4
32.4
32.4


modulus


(GPa/g · cm−3)

















(mol %)
No. 148
No. 149
No. 150
No. 151
No. 152
No. 153
No. 154





SiO2
63.9
64.4
64.9
65.4
66.4
66.9
67.4


Al2O3
14.1
13.9
13.7
13.5
13.1
12.9
12.7


B2O3
3.1
3.0
3.0
2.9
2.9
2.8
2.8


MgO
8.5
8.4
8.2
8.1
7.9
7.8
7.6


CaO
6.6
6.5
6.4
6.3
6.1
6.0
6.0


SrO
0.7
0.7
0.7
0.7
0.6
0.6
0.6


BaO
2.8
2.7
2.7
2.7
2.6
2.6
2.5


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.3
0.2
0.2
0.2
0.2
0.2
0.2


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
20.61
21.47
21.63
22.55
22.90
23.89
24.07


SrO + BaO
3.5
3.4
3.4
3.4
3.2
3.2
3.1


B2O3/BaO
1.1
1.1
1.1
1.1
1.1
1.1
1.1


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 +
23.2
23.9
24.0
24.1
25.8
25.8
26.7


B2O3)/(SrO + BaO)


(CaO + SrO + BaO) −
−7.1
−7.0
−6.9
−6.7
−6.7
−6.5
−6.4


(Al2O3 + B2O3)


Thermal expansion
40.4
40.2
39.9
39.6
38.7
38.4
38.0


coefficient


(10−7/° C.)


Density (g/cm3)
2.61
2.61
2.60
2.60
2.59
2.58
2.58


Strain point (° C.)
714
715
715
716
717
718
719


Annealing point
774
776
776
777
779
780
780


(° C.)


Softening point
980
982
984
986
990
993
995


(° C.)


104.0 dPa · s (° C.)
1,252
1,257
1,264
1,271
1,284
1,291
1,297


103.0 dPa · s (° C.)
1,422
1,427
1,433
1,440
1,452
1,458
1,465


102.5 dPa · s (° C.)
1,488
1,497
1,507
1,517
1,535
1,545
1,554


Young's modulus
84.6
84.4
84.1
84.0
83.5
83.3
83.1


(GPa)


Specific Young's
32.4
32.4
32.3
32.3
32.3
32.3
32.3


modulus


(GPa/g · cm−3)























TABLE 12







(mol %)
No. 155
No. 156
No. 157
No. 158
No. 159
No. 160
No. 161





SiO2
67.9
68.4
68.9
69.4
69.9
70.4
70.9


Al2O3
12.5
12.3
12.1
11.9
11.7
11.5
11.3


B2O3
2.7
2.7
2.6
2.6
2.6
2.5
2.5


MgO
7.5
7.4
7.3
7.2
7.1
6.9
6.8


CaO
5.9
5.8
5.7
5.6
5.5
5.4
5.3


SrO
0.6
0.6
0.6
0.6
0.6
0.6
0.6


BaO
2.5
2.4
2.4
2.4
2.3
2.3
2.2


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.2
0.2
0.2
0.2
0.2
0.2
0.2


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
25.15
25.33
26.50
26.69
26.88
28.16
28.36


SrO + BaO
3.1
3.0
3.0
3.0
2.9
2.9
2.8


B2O3/BaO
1.1
1.1
1.1
1.1
1.1
1.1
1.1


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 +
26.8
27.8
27.9
28.0
29.0
29.1
30.3


B2O3)/(SrO + BaO)


(CaO + SrO + BaO) −
−6.2
−6.2
−6.0
−5.9
−5.9
−5.7
−5.7


(Al2O3 +


B2O3)


Thermal expansion
37.7
37.2
36.9
36.6
36.1
36.0
35.6


coefficient


(10−7/° C.)


Density (g/cm3)
2.57
2.56
2.56
2.55
2.55
2.54
2.54


Strain point (° C.)
720
720
721
722
722
724
724


Annealing point
781
782
784
784
785
786
787


(° C.)


Softening point
998
1,000
1,003
1,005
1,007
1,010
1,013


(° C.)


104.0 dPa · s (° C.)
1,304
1,311
1,318
1,324
1,330
1,338
1,344


103.0 dPa · s (° C.)
1,472
1,478
1,486
1,492
1,499
1,508
1,515


102.5 dPa · s (° C.)
1,564
1,573
1,582
1,590
1,599
1,610
1,619


Young's modulus
82.9
82.7
82.6
82.4
82.2
81.9
81.7


(GPa)


Specific Young's
32.2
32.3
32.2
32.3
32.3
32.2
32.2


modulus


(GPa/g · cm−3)





(mol %)
No. 162
No. 163
No. 164
No. 165
No. 166
No. 167
No. 168





SiO2
69.7
69.4
69.0
68.6
68.2
67.8
67.5


Al2O3
8.3
8.8
9.3
9.8
10.3
10.8
11.3


B2O3
3.1
3.0
3.0
3.0
3.0
3.0
3.0


MgO
8.5
8.4
8.4
8.3
8.3
8.2
8.2


CaO
6.6
6.6
6.5
6.5
6.4
6.4
6.4


SrO
0.7
0.7
0.7
0.7
0.7
0.7
0.7


BaO
2.8
2.8
2.7
2.7
2.7
2.7
2.7


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.3
0.2
0.2
0.2
0.2
0.2
0.2


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
22.48
23.13
23.00
22.87
22.73
22.60
22.50


SrO + BaO
3.5
3.5
3.4
3.4
3.4
3.4
3.4


B2O3/BaO
1.1
1.1
1.1
1.1
1.1
1.1
1.1


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 +
23.2
23.2
23.9
23.9
24.0
24.0
24.1


Al2O3 +


B2O3)/(SrO + BaO)


(CaO + SrO + BaO) −
−1.3
−1.7
−2.4
−2.9
−3.5
−4.0
−4.5


(Al2O3 + B2O3)


Thermal expansion
40.7
40.6
40.4
40.2
40.0
39.9
39.6


coefficient


(10−7/° C.)


Density (g/cm3)
2.57
2.57
2.57
2.58
2.58
2.58
2.58


Strain point (° C.)
696
695
695
694
695
697
700


Annealing point
756
757
757
758
759
761
763


(° C.)


Softening point
974
975
975
975
976
977
979


(° C.)


104.0 dPa · s (° C.)
1,295
1,294
1,292
1,290
1,288
1,286
1,285


103.0 dPa · s (° C.)
1,465
1,465
1,465
1,464
1,462
1,461
1,458


102.5 dPa · s (° C.)
1,570
1,568
1,566
1,562
1,558
1,553
1,547


Young's modulus
79.9
80.4
80.7
81.1
81.4
81.8
82.4


(GPa)


Specific Young's
31.2
31.3
31.4
31.5
31.6
31.7
31.9


modulus


(GPa/g · cm−3)























TABLE 13







(mol %)
No. 169
No. 170
No. 171
No. 172
No. 173
No. 174
No. 175





SiO2
67.1
66.7
66.3
65.6
65.2
64.8
64.4


Al2O3
11.8
12.3
12.8
13.8
14.3
14.8
15.3


B2O3
2.9
2.9
2.9
2.9
2.9
2.8
2.8


MgO
8.1
8.1
8.0
8.0
7.9
7.9
7.8


CaO
6.3
6.3
6.3
6.2
6.2
6.1
6.1


SrO
0.7
0.7
0.7
0.6
0.6
0.6
0.6


BaO
2.7
2.7
2.6
2.6
2.6
2.6
2.6


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.2
0.2
0.2
0.2
0.2
0.2
0.2


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
23.14
23.00
22.86
22.62
22.48
23.14
23.00


SrO + BaO
3.4
3.4
3.3
3.2
3.2
3.2
3.2


B2O3/BaO
1.1
1.1
1.1
1.1
1.1
1.1
1.1


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
24.1
24.1
24.8
25.7
25.8
25.8
25.8


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−5.0
−5.5
−6.1
−7.3
−7.8
−8.3
−8.8


Thermal expansion
39.6
39.5
39.3
38.8
38.7
38.6
38.5


coefficient


(10−7/° C.)


Density (g/cm3)
2.59
2.59
2.59
2.59
2.60
2.60
2.60


Strain point (° C.)
704
708
712
721
726
730
734


Annealing point (° C.)
768
771
774
781
784
787
789


Softening point (° C.)
982
984
986
991
994
996
998


104.0 dPa · s (° C.)
1,283
1,281
1,279
1,276
1,275
1,275
1,274


103.0 dPa · s (° C.)
1,457
1,453
1,450
1,441
1,436
1,432
1,428


102.5 dPa · s (° C.)
1,544
1,537
1,532
1,520
1,515
1,511
1,506


Young's modulus
82.6
83.1
83.4
84.3
84.6
85.0
85.3


(GPa)


Specific Young's
31.9
32.1
32.2
32.5
32.6
32.7
32.8


modulus (GPa/g · cm−3)





(mol %)
No. 176
No. 177
No. 178
No. 179
No. 180
No. 181
No. 182





SiO2
64.0
63.6
63.3
62.9
62.5
62.1
67.6


Al2O3
15.8
16.3
16.8
17.3
17.8
18.3
13.6


B2O3
2.8
2.8
2.8
2.8
2.7
2.7
0.4


MgO
7.8
7.7
7.7
7.6
7.6
7.5
8.2


CaO
6.0
6.0
6.0
5.9
5.9
5.9
6.4


SrO
0.6
0.6
0.6
0.6
0.6
0.6
0.7


BaO
2.6
2.5
2.5
2.5
2.5
2.5
2.7


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.2
0.2
0.2
0.2
0.2
0.2
0.2


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
22.86
22.71
22.61
22.46
23.15
23.00
169.00


SrO + BaO
3.2
3.1
3.1
3.1
3.1
3.1
3.4


B2O3/BaO
1.1
1.1
1.1
1.1
1.1
1.1
0.1


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
25.8
26.7
26.7
26.8
26.8
26.8
24.0


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−9.4
−10.0
−10.5
−11.1
−11.5
−12.0
−4.2


Thermal expansion
38.4
38.2
37.9
37.7
37.7
37.5
39.5


coefficient


(10−7/° C.)


Density (g/cm3)
2.61
2.61
2.61
2.61
2.62
2.62
2.62


Strain point (° C.)
737
740
742
743
745
746
748


Annealing point (° C.)
790
791
791
791
791
790
805


Softening point (° C.)
999
1,001
1,002
1,003
1,005
1,006
1,024


104.0 dPa · s (° C.)
1,273
1,273
1,274
1,275
1,276
1,277
1,312


103.0 dPa · s (° C.)
1,422
1,418
1,413
1,410
1,406
1,402
1,473


102.5 dPa · s (° C.)
1,502
1,500
1,496
1,495
1,494
1,493
1,560


Young's modulus
85.7
86.0
86.6
86.8
87.3
87.6
86.5


(GPa)


Specific Young's
32.9
33.0
33.2
33.2
33.4
33.5
33.0


modulus (GPa/g · cm−3)























TABLE 14







(mol %)
No. 183
No. 184
No. 185
No. 186
No. 187
No. 188
No. 189





SiO2
67.3
67.0
66.6
66.3
65.6
65.3
64.9


Al2O3
13.6
13.5
13.4
13.4
13.2
13.2
13.1


B2O3
0.9
1.4
1.9
2.4
3.4
3.9
4.4


MgO
8.2
8.1
8.1
8.0
8.0
7.9
7.9


CaO
6.4
6.3
6.3
6.3
6.2
6.2
6.1


SrO
0.7
0.7
0.7
0.7
0.6
0.6
0.6


BaO
2.7
2.7
2.7
2.6
2.6
2.6
2.6


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.2
0.2
0.2
0.2
0.2
0.2
0.2


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
74.78
47.86
35.05
27.63
19.29
16.74
14.75


SrO + BaO
3.4
3.4
3.4
3.3
3.2
3.2
3.2


B2O3/BaO
0.3
0.5
0.7
0.9
1.3
1.5
1.7


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
24.1
24.1
24.1
24.9
25.7
25.8
25.8


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−4.7
−5.2
−5.6
−6.2
−7.2
−7.7
−8.2


Thermal expansion
39.2
39.2
39.3
39.1
39.0
38.8
38.9


coefficient


(10−7/° C.)


Density (g/cm3)
2.61
2.61
2.61
2.60
2.59
2.58
2.58


Strain point (° C.)
742
735
728
723
711
706
699


Annealing point (° C.)
799
794
788
783
773
768
763


Softening point (° C.)
1,016
1,009
1,001
995
982
978
972


104.0 dPa · s (° C.)
1,305
1,299
1,291
1,285
1,270
1,265
1,257


103.0 dPa · s (° C.)
1,467
1,463
1,457
1,451
1,440
1,434
1,428


102.5 dPa · s (° C.)
1,551
1,546
1,538
1,532
1,520
1,515
1,510


Young's modulus (GPa)
86.3
85.5
84.9
84.4
83.2
82.8
82.1


Specific Young's
33.0
32.8
32.6
32.5
32.2
32.1
31.9


modulus (GPa/g · cm−3)





(mol %)
No. 190
No. 191
No. 192
No. 193
No. 194
No. 195
No. 196





SiO2
64.6
64.2
63.9
63.6
63.2
62.9
62.5


Al2O3
13.0
13.0
12.9
12.8
12.8
12.7
12.6


B2O3
4.9
5.4
5.9
6.4
6.9
7.4
7.9


MgO
7.8
7.8
7.7
7.7
7.7
7.6
7.6


CaO
6.1
6.1
6.0
6.0
6.0
5.9
5.9


SrO
0.6
0.6
0.6
0.6
0.6
0.6
0.6


BaO
2.6
2.6
2.5
2.5
2.5
2.5
2.5


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.2
0.2
0.2
0.2
0.2
0.2
0.2


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
13.18
11.89
10.83
9.94
9.16
8.50
7.91


SrO+BaO
3.2
3.2
3.1
3.1
3.1
3.1
3.1


B2O3/BaO
1.9
2.1
2.4
2.6
2.8
3.0
3.2


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
25.8
25.8
26.7
26.7
26.7
26.8
26.8


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−8.6
−9.1
−9.7
−10.1
−10.6
−11.1
−11.5


Thermal expansion
38.9
38.8
38.7
38.7
38.6
38.6
38.7


coefficient


(10−7/° C.)


Density (g/cm3)
2.57
2.57
2.56
2.55
2.55
2.54
2.54


Strain point (° C.)
693
688
683
677
672
667
661


Annealing point (° C.)
758
754
750
745
740
736
731


Softening point (° C.)
967
963
960
957
954
952
950


104.0 dPa · s (° C.)
1,251
1,244
1,238
1,232
1,226
1,221
1,215


103.0 dPa · s (° C.)
1,423
1,415
1,410
1,404
1,397
1,392
1,386


102.5 dPa · s (° C.)
1,507
1,501
1,501
1,498
1,494
1,495
1,493


Young's modulus (GPa)
81.4
81.1
80.2
79.8
79.4
78.7
78.1


Specific Young's
31.7
31.6
31.4
31.3
31.2
30.9
30.8


modulus (GPa/g · cm−3)























TABLE 15







(mol %)
No. 197
No. 198
No. 199
No. 200
No. 201
No. 202
No. 203





SiO2
69.5
69.2
68.8
68.4
68.1
67.7
67.4


Al2O3
14.0
14.0
13.9
13.8
13.7
13.7
13.6


B2O3
3.1
3.0
3.0
3.0
3.0
3.0
3.0


MgO
3.0
3.5
4.0
4.5
5.0
5.5
6.0


CaO
6.6
6.5
6.5
6.5
6.4
6.4
6.4


SrO
0.7
0.7
0.7
0.7
0.7
0.7
0.7


BaO
2.8
2.8
2.7
2.7
2.7
2.7
2.7


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.2
0.2
0.2
0.2
0.2
0.2
0.2


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
22.42
23.07
22.93
22.80
22.70
22.57
22.47


SrO + BaO
3.5
3.5
3.4
3.4
3.4
3.4
3.4


B2O3/BaO
1.1
1.1
1.1
1.1
1.1
1.1
1.1


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
24.7
24.6
25.2
25.1
24.9
24.8
24.7


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−7.0
−7.0
−7.0
−6.9
−6.9
−6.9
−6.8


Thermal expansion
35.6
35.8
36.2
36.7
37.0
37.3
37.6


coefficient


(10−7/° C.)


Density (g/cm3)
2.56
2.56
2.56
2.57
2.57
2.57
2.58


Strain point (° C.)
739
738
736
734
732
730
728


Annealing point (° C.)
798
796
794
791
788
786
784


Softening point (° C.)
1,035
1,031
1,026
1,020
1,016
1,011
1,006


104.0 dPa · s (° C.)
1,359
1,353
1,344
1,335
1,327
1,319
1,311


103.0 dPa · s (° C.)
1,518
1,510
1,501
1,492
1,486
1,477
1,470


102.5 dPa · s (° C.)
1,624
1,616
1,606
1,595
1,586
1,574
1,564


Young's modulus (GPa)
80.8
81.2
81.4
81.7
81.9
82.4
82.7


Specific Young's
31.6
31.7
31.8
31.8
31.9
32.0
32.1


modulus (GPa/g · cm−3)





(mol %)
No. 204
No. 205
No. 206
No. 207
No. 208
No. 209
No. 210





SiO2
67.0
66.7
66.3
65.6
65.2
64.9
64.5


Al2O3
13.5
13.4
13.4
13.2
13.2
13.1
13.0


B2O3
2.9
2.9
2.9
2.9
2.9
2.8
2.8


MgO
6.5
7.0
7.5
8.5
9.0
9.5
10.0


CaO
6.3
6.3
6.3
6.2
6.2
6.1
6.1


SrO
0.7
0.7
0.7
0.6
0.6
0.6
0.6


BaO
2.7
2.7
2.6
2.6
2.6
2.6
2.6


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.2
0.2
0.2
0.2
0.2
0.2
0.2


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
23.10
23.00
22.86
22.62
22.48
23.18
23.04


SrO + BaO
3.4
3.4
3.3
3.2
3.2
3.2
3.2


B2O3/BaO
1.1
1.1
1.1
1.1
1.1
1.1
1.1


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
24.5
24.4
25.0
25.5
25.4
25.3
25.1


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−6.7
−6.6
−6.7
−6.7
−6.7
−6.6
−6.5


Thermal expansion
38.1
38.5
38.7
39.4
39.7
40.1
40.6


coefficient


(10−7/° C.)


Density (g/cm3)
2.58
2.59
2.59
2.59
2.60
2.60
2.61


Strain point (° C.)
725
722
720
714
711
709
705


Annealing point (° C.)
783
781
780
776
774
774
771


Softening point (° C.)
1,002
997
993
984
980
977
972


104.0 dPa · s (° C.)
1,302
1,295
1,286
1,269
1,261
1,254
1,245


103.0 dPa · s (° C.)
1,465
1,459
1,451
1,440
1,433
1,429
1,422


102.5 dPa · s (° C.)
1,556
1,546
1,535
1,517
1,506
1,499
1,489


Young's modulus (GPa)
82.9
83.2
83.6
84.0
84.5
84.7
84.9


Specific Young's
32.1
32.2
32.3
32.4
32.5
32.5
32.6


modulus (GPa/g · cm−3)























TABLE 16







(mol %)
No. 211
No. 212
No. 213
No. 214
No. 215
No. 216
No. 217





SiO2
64.1
63.8
63.4
63.1
62.7
62.3
69.5


Al2O3
12.9
12.9
12.8
12.7
12.7
12.6
14.0


B2O3
2.8
2.8
2.8
2.8
2.8
2.7
3.0


MgO
10.5
11.0
11.5
12.0
12.5
13.0
8.4


CaO
6.1
6.0
6.0
6.0
5.9
5.9
1.2


SrO
0.6
0.6
0.6
0.6
0.6
0.6
0.7


BaO
2.6
2.5
2.5
2.5
2.5
2.5
2.8


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.2
0.2
0.2
0.2
0.2
0.2
0.2


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
22.89
22.79
22.64
22.54
22.39
23.07
23.17


SrO + BaO
3.2
3.1
3.1
3.1
3.1
3.1
3.5


B2O3/BaO
1.1
1.1
1.1
1.1
1.1
1.1
1.1


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/
24.9
25.6
25.5
25.4
25.2
25.0
24.7


(SrO + BaO)


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−6.4
−6.6
−6.5
−6.4
−6.5
−6.3
−12.3


Thermal expansion
41.0
41.1
41.5
41.8
42.1
42.7
31.9


coefficient


(10−7/° C.)


Density (g/cm3)
2.61
2.61
2.62
2.62
2.62
2.63
2.55


Strain point (° C.)
702
700
698
695
694
694
745


Annealing point
768
768
765
762
760
758
801


(° C.)


Softening point
968
966
962
959
957
955
1,019


(° C.)


104.0 dPa · s (° C.)
1,236
1,229
1,221
1,213
1,206
1,198
1,348


103.0 dPa · s (° C.)
1,415
1,410
1,404
1,398
1,392
1,386
1,509


102.5 dPa · s (° C.)
1,480
1,471
1,462
1,454
1,445
1,438
1,611


Young's modulus
85.2
85.6
85.8
86.2
86.5
86.8
83.3


(GPa)


Specific Young's


modulus
32.6
32.7
32.8
32.9
33.0
33.0
32.7


(GPa/g · cm−3)





(mol %)
No. 218
No. 219
No. 220
No. 221
No. 222
No. 223
No. 224





SiO2
69.1
68.8
68.4
68.0
67.7
67.3
67.0


Al2O3
13.9
13.9
13.8
13.7
13.7
13.6
13.5


B2O3
3.0
3.0
3.0
3.0
3.0
3.0
2.9


MgO
8.4
8.3
8.3
8.3
8.2
8.2
8.1


CaO
1.7
2.2
2.7
3.2
3.7
4.2
4.7


SrO
0.7
0.7
0.7
0.7
0.7
0.7
0.7


BaO
2.8
2.7
2.7
2.7
2.7
2.7
2.7


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.2
0.2
0.2
0.2
0.2
0.2
0.2


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
23.03
22.93
22.80
22.67
22.57
22.43
23.10


SrO + BaO
3.5
3.4
3.4
3.4
3.4
3.4
3.4


B2O3/BaO
1.1
1.1
1.1
1.1
1.1
1.1
1.1


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/
24.6
25.2
25.1
24.9
24.8
24.7
24.5


(SrO + BaO)


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−11.7
−11.3
−10.7
−10.1
−9.6
−9.0
−8.3


Thermal expansion
32.6
33.1
33.9
34.6
35.2
36.0
36.9


coefficient


(10−7/° C.)


Density (g/cm3)
2.55
2.55
2.56
2.56
2.57
2.57
2.58


Strain point (° C.)
743
741
738
735
733
730
727


Annealing point
800
798
796
794
792
789
787


(° C.)


Softening point
1,015
1,013
1,009
1,006
1,004
1,000
998


(° C.)


104.0 dPa · s (° C.)
1,341
1,335
1,327
1,319
1,314
1,306
1,300


103.0 dPa · s (° C.)
1,498
1,491
1,482
1,474
1,469
1,463
1,460


102.5 dPa · s (° C.)
1,601
1,594
1,585
1,575
1,567
1,557
1,551


Young's modulus
83.3
83.4
83.4
83.5
83.6
83.6
83.6


(GPa)


Specific Young's


modulus
32.7
32.7
32.6
32.6
32.6
32.5
32.4


(GPa/g · cm−3)























TABLE 17







(mol %)
No. 225
No. 226
No. 227
No. 228
No. 229
No. 230
No. 231





SiO2
66.6
66.3
65.6
65.2
64.9
64.5
64.2


Al2O3
13.4
13.4
13.2
13.2
13.1
13.0
12.9


B2O3
2.9
2.9
2.9
2.9
2.8
2.8
2.8


MgO
8.1
8.0
8.0
7.9
7.9
7.8
7.8


CaO
5.2
5.7
6.7
7.2
7.7
8.2
8.7


SrO
0.7
0.7
0.6
0.6
0.6
0.6
0.6


BaO
2.7
2.6
2.6
2.6
2.6
2.6
2.6


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.2
0.2
0.2
0.2
0.2
0.2
0.2


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
22.97
22.86
22.62
22.48
23.18
23.04
22.93


SrO + BaO
3.4
3.3
3.2
3.2
3.2
3.2
3.2


B2O3/BaO
1.1
1.1
1.1
1.1
1.1
1.1
1.1


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/
24.4
25.0
25.5
25.4
25.3
25.1
25.0


(SrO + BaO)


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−7.7
−7.3
−6.2
−5.7
−5.0
−4.4
−3.8


Thermal expansion
37.7
38.3
39.8
40.5
41.4
42.3
43.0


coefficient


(10−7/° C.)


Density (g/cm3)
2.59
2.59
2.60
2.60
2.61
2.61
2.62


Strain point (° C.)
723
721
713
710
707
702
698


Annealing point
784
782
775
771
768
764
759


(° C.)


Softening point
994
992
985
982
980
977
974


(° C.)


104.0 dPa · s (° C.)
1,291
1,285
1,270
1,263
1,257
1,250
1,243


103.0 dPa · s (° C.)
1,455
1,451
1,441
1,436
1,432
1,426
1,420


102.5 dPa · s (° C.)
1,542
1,535
1,519
1,511
1,505
1,499
1,493


Young's modulus
83.6
83.7
83.8
83.8
84.0
83.8
83.9


(GPa)


Specific Young's
32.3
32.4
32.3
32.2
32.2
32.1
32.1


modulus


(GPa/g · cm−3)





(mol %)
No. 232
No. 233
No. 234
No. 235
No. 236
No. 237
No. 238





SiO2
63.8
63.5
63.1
62.8
62.4
66.3
65.6


Al2O3
12.9
12.8
12.7
12.7
12.6
13.4
13.2


B2O3
2.8
2.8
2.8
2.8
2.7
2.9
2.9


MgO
7.7
7.7
7.7
7.6
7.6
8.0
8.0


CaO
9.2
9.7
10.2
10.7
11.2
6.3
6.2


SrO
0.6
0.6
0.6
0.6
0.6
0.1
1.1


BaO
2.5
2.5
2.5
2.5
2.5
2.6
2.6


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.2
0.2
0.2
0.2
0.2
0.2
0.2


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
22.79
22.68
22.54
22.43
23.11
22.86
22.62


SrO + BaO
3.1
3.1
3.1
3.1
3.1
2.7
3.7


B2O3/BaO
1.1
1.1
1.1
1.1
1.1
1.1
1.1


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
1.0
0.7


(SiO2 + Al2O3 + B2O3)/
25.6
25.5
25.4
25.3
25.1
30.6
22.1


(SrO + BaO)


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−3.4
−2.8
−2.2
−1.7
−1.0
−7.3
−6.2


Thermal expansion
43.6
44.3
45.1
45.6
46.5
38.1
40.0


coefficient


(10−7/° C.)


Density (g/cm3)
2.62
2.63
2.63
2.64
2.64
2.58
2.60


Strain point (° C.)
695
691
686
683
680
721
713


Annealing point
757
752
747
744
740
782
774


(° C.)


Softening point
972
970
968
967
966
993
984


(° C.)


104.0 dPa · s (° C.)
1,236
1,230
1,223
1,218
1,212
1,283
1,272


103.0 dPa · s (° C.)
1,415
1,408
1,401
1,396
1,389
1,449
1,443


102.5 dPa · s (° C.)
1,487
1,481
1,476
1,471
1,467
1,532
1,521


Young's modulus
83.9
84.1
84.1
84.2
84.3
83.9
83.6


(GPa)


Specific Young's
32.0
32.0
32.0
32.0
31.9
32.5
32.1


modulus


(GPa/g · cm−3)























TABLE 18







(mol %)
No. 239
No. 240
No. 241
No. 242
No. 243
No. 244
No. 245





SiO2
65.3
64.9
64.6
64.3
63.9
63.6
63.3


Al2O3
13.2
13.1
13.0
13.0
12.9
12.8
12.8


B2O3
2.9
2.8
2.8
2.8
2.8
2.8
2.8


MgO
7.9
7.9
7.8
7.8
7.8
7.7
7.7


CaO
6.2
6.1
6.1
6.1
6.0
6.0
6.0


SrO
1.6
2.1
2.6
3.1
3.6
4.1
4.6


BaO
2.6
2.6
2.6
2.6
2.5
2.5
2.5


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.2
0.2
0.2
0.2
0.2
0.2
0.2


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
22.52
23.18
23.07
22.96
22.82
22.71
22.61


SrO + BaO
4.2
4.7
5.2
5.7
6.1
6.6
7.1


B2O3/BaO
1.1
1.1
1.1
1.1
1.1
1.1
1.1


BaO/(SrO + BaO)
0.6
0.6
0.5
0.5
0.4
0.4
0.4


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
19.4
17.2
15.5
14.1
13.0
12.0
11.1


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−5.7
−5.1
−4.5
−4.0
−3.6
−3.0
−2.5


Thermal expansion
40.7
41.9
42.8
43.5
44.4
45.3
45.9


coefficient


(10−7/° C.)


Density (g/cm3)
2.61
2.63
2.64
2.65
2.66
2.67
2.68


Strain point (° C.)
711
708
705
703
700
698
697


Annealing point
771
768
764
760
757
754
750


(° C.)


Softening point
981
977
973
971
968
966
965


(° C.)


104.0 dPa · s (° C.)
1,269
1,263
1,259
1,255
1,249
1,246
1,242


103.0 dPa · s (° C.)
1,440
1,437
1,434
1,429
1,424
1,420
1,415


102.5 dPa · s (° C.)
1,517
1,513
1,510
1,505
1,502
1,500
1,495


Young's modulus
83.6
83.3
83.1
83.3
82.9
82.7
82.9


(GPa)


Specific Young's
32.0
31.7
31.5
31.4
31.2
31.0
30.9


modulus


(GPa/g · cm−3)





(mol %)
No. 246
No. 247
No. 248
No. 249
No. 250
No. 251
No. 252





SiO2
62.9
62.6
67.6
67.3
67.0
66.6
66.3


Al2O3
12.7
12.6
13.6
13.6
13.5
13.4
13.4


B2O3
2.8
2.7
3.0
3.0
2.9
2.9
2.9


MgO
7.6
7.6
8.2
8.2
8.1
8.1
8.0


CaO
5.9
5.9
6.4
6.4
6.3
6.3
6.3


SrO
5.1
5.6
0.7
0.7
0.7
0.7
0.7


BaO
2.5
2.5
0.1
0.6
1.1
1.6
2.1


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.2
0.2
0.2
0.2
0.2
0.2
0.2


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
22.46
23.19
22.53
22.43
23.10
22.97
22.86


SrO + BaO
7.6
8.1
0.8
1.3
1.8
2.3
2.8


B2O3/BaO
1.1
1.1
30.0
5.0
2.6
1.8
1.4


BaO/(SrO + BaO)
0.3
0.3
0.1
0.5
0.6
0.7
0.8


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
10.3
9.6
105.3
64.5
46.3
36.0
29.5


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−2.0
−1.3
−9.4
−8.9
−8.3
−7.7
−7.2


Thermal expansion
46.9
47.8
34.1
34.9
36.0
37.1
38.0


coefficient


(10−7/° C.)


Density (g/cm3)
2.69
2.71
2.50
2.52
2.54
2.56
2.57


Strain point (° C.)
696
696
732
729
727
723
720


Annealing point
747
745
795
792
789
785
782


(° C.)


Softening point
964
963
1,003
1,002
1,000
996
993


(° C.)


104.0 dPa · s (° C.)
1,237
1,234
1,294
1,291
1,289
1,284
1,282


103.0 dPa · s (° C.)
1,410
1,405
1,451
1,448
1,450
1,448
1,447


102.5 dPa · s (° C.)
1,495
1,493
1,544
1,538
1,538
1,533
1,529


Young's modulus
82.5
82.4
85.1
85.1
84.6
84.3
84.2


(GPa)


Specific Young's
30.6
30.4
34.1
33.8
33.4
33.0
32.7


modulus


(GPa/g · cm−3)























TABLE 19







(mol %)
No. 253
No. 254
No. 255
No. 256
No. 257
No. 258
No. 259





SiO2
65.6
65.3
64.9
64.6
64.2
63.9
63.6


Al2O3
13.2
13.2
13.1
13.0
13.0
12.9
12.8


B2O3
2.9
2.9
2.8
2.8
2.8
2.8
2.8


MgO
8.0
7.9
7.9
7.8
7.8
7.8
7.7


CaO
6.2
6.2
6.1
6.1
6.1
6.0
6.0


SrO
0.6
0.6
0.6
0.6
0.6
0.6
0.6


BaO
3.1
3.6
4.1
4.6
5.1
5.6
6.1


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.2
0.2
0.2
0.2
0.2
0.2
0.2


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
22.62
22.52
23.18
23.07
22.93
22.82
22.71


SrO + BaO
3.7
4.2
4.7
5.2
5.7
6.2
6.7


B2O3/BaO
0.9
0.8
0.7
0.6
0.5
0.5
0.5


BaO/(SrO + BaO)
0.8
0.9
0.9
0.9
0.9
0.9
0.9


(SiO2 + Al2O3 + B2O3)/
22.1
19.4
17.2
15.5
14.0
12.8
11.8


(SrO + BaO)


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−6.2
−5.7
−5.1
−4.5
−4.0
−3.5
−2.9


Thermal expansion
40.1
41.0
42.2
43.3
44.2
45.1
46.1


coefficient


(10−7/° C.)


Density (g/cm3)
2.61
2.63
2.65
2.67
2.69
2.70
2.72


Strain point (° C.)
713
711
709
706
704
703
701


Annealing point
774
771
768
764
760
757
754


(° C.)


Softening point
984
981
977
974
972
970
968


(° C.)


104.0 dPa · s (° C.)
1,274
1,271
1,267
1,265
1,261
1,258
1,256


103.0 dPa · s (° C.)
1,444
1,442
1,440
1,437
1,433
1,429
1,425


102.5 dPa · s (° C.)
1,523
1,520
1,518
1,517
1,512
1,511
1,510


Young's modulus
83.5
83.3
82.9
82.5
82.4
82.1
81.8


(GPa)


Specific Young's
32.0
31.7
31.3
30.9
30.7
30.4
30.0


modulus


(GPa/g · cm−3)





(mol %)
No. 260
No. 261
No. 262
No. 263
No. 264
No. 265
No. 266





SiO2
63.2
62.9
62.5
65.6
65.3
64.9
64.6


Al2O3
12.8
12.7
12.6
13.2
13.2
13.1
13.0


B2O3
2.8
2.8
2.7
2.9
2.9
2.8
2.8


MgO
7.7
7.6
7.6
8.0
7.9
7.9
7.8


CaO
6.0
5.9
5.9
6.2
6.2
6.1
6.1


SrO
0.6
0.6
0.6
0.6
0.6
0.6
0.6


BaO
6.6
7.1
7.6
2.6
2.6
2.6
2.6


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.2
0.2
0.2
0.7
1.2
1.7
2.2


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
22.57
22.46
23.15
22.62
22.52
23.18
23.07


SrO + BaO
7.2
7.7
8.2
3.2
3.2
3.2
3.2


B2O3/BaO
0.4
0.4
0.4
1.1
1.1
1.1
1.1


BaO/(SrO + BaO)
0.9
0.9
0.9
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/
10.9
10.2
9.5
25.5
25.4
25.3
25.1


(SrO + BaO)


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−2.4
−1.9
−1.2
−6.7
−6.7
−6.6
−6.5


Thermal expansion
47.0
47.9
49.0
38.9
38.7
38.9
38.8


coefficient


(10−7/° C.)


Density (g/cm3)
2.74
2.76
2.78
2.58
2.58
2.57
2.57


Strain point (° C.)
700
700
701
715
714
713
711


Annealing point
751
749
747
774
771
768
764


(° C.)


Softening point
967
967
967
985
982
979
976


(° C.)


104.0 dPa · s (° C.)
1,252
1,250
1,247
1,279
1,281
1,283
1,285


103.0 dPa · s (° C.)
1,420
1,417
1,410
1,449
1,451
1,454
1,457


102.5 dPa · s (° C.)
1,506
1,507
1,506
1,530
1,534
1,539
1,544


Young's modulus
81.7
81.2
80.9
83.0
82.3
81.4
80.6


(GPa)


Specific Young's
29.8
29.4
29.1
32.1
32.0
31.6
31.4


modulus


(GPa/g · cm−3)























TABLE 20







(mol %)
No. 267
No. 268
No. 269
No. 270
No. 271
No. 272
No. 273





SiO2
64.3
63.9
63.6
63.3
63.0
62.6
63.7


Al2O3
13.0
12.9
12.8
12.8
12.7
12.6
13.5


B2O3
2.8
2.8
2.8
2.8
2.8
2.7
3.7


MgO
7.8
7.8
7.7
7.7
7.6
7.6
8.0


CaO
6.1
6.0
6.0
6.0
5.9
5.9
8.8


SrO
0.6
0.6
0.6
0.6
0.6
0.6
0.4


BaO
2.6
2.5
2.5
2.5
2.5
2.5
1.9


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
2.7
3.2
3.7
4.2
4.7
5.2
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
22.96
22.82
22.71
22.61
22.50
23.19
17.22


SrO + BaO
3.2
3.1
3.1
3.1
3.1
3.1
2.3


B2O3/BaO
1.1
1.1
1.1
1.1
1.1
1.1
1.9


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/
25.0
25.7
25.5
25.5
25.3
25.1
35.2


(SrO + BaO)


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−6.5
−6.6
−6.5
−6.5
−6.5
−6.3
−6.1


Thermal expansion
38.5
38.4
38.4
38.1
38.0
38.2
41.1


coefficient


(10−7/° C.)


Density (g/cm3)
2.56
2.55
2.54
2.54
2.53
2.53
2.59


Strain point (° C.)
711
709
707
706
705
704
699


Annealing point
760
757
753
749
746
743
763


(° C.)


Softening point
974
971
969
968
966
965
973


(° C.)


104.0 dPa · s (° C.)
1,287
1,288
1,290
1,292
1,295
1,296
1,230


103.0 dPa · s (° C.)
1,458
1,459
1,461
1,461
1,463
1,462
1,409


102.5 dPa · s (° C.)
1,545
1,550
1,554
1,555
1,560
1,562
1,473


Young's modulus
80.1
79.1
78.3
77.8
76.9
76.1
84.5


(GPa)


Specific Young's
31.3
31.0
30.8
30.7
30.4
30.1
32.7


modulus


(GPa/g · cm−3)





(mol %)
No. 274
No. 275
No. 276
No. 277
No. 278
No. 279
No. 280





SiO2
64.2
64.7
65.2
65.7
66.2
66.7
67.2


Al2O3
13.3
13.1
12.9
12.7
12.5
12.3
12.2


B2O3
3.7
3.6
3.6
3.5
3.5
3.4
3.4


MgO
7.9
7.8
7.7
7.6
7.5
7.3
7.2


CaO
8.7
8.6
8.5
8.3
8.2
8.1
8.0


SrO
0.4
0.4
0.4
0.4
0.4
0.4
0.4


BaO
1.8
1.8
1.8
1.8
1.7
1.7
1.7


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
17.35
17.97
18.11
18.77
18.91
19.62
19.76


SrO + BaO
2.2
2.2
2.2
2.2
2.1
2.1
2.1


B2O3/BaO
2.1
2.0
2.0
1.9
2.1
2.0
2.0


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/
36.9
37.0
37.1
37.2
39.1
39.2
39.4


(SrO + BaO)


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−6.1
−5.9
−5.8
−5.7
−5.7
−5.5
−5.5


Thermal expansion
40.7
40.4
40.0
39.7
39.2
39.0
38.4


coefficient


(10−7/° C.)


Density (g/cm3)
2.58
2.57
2.57
2.57
2.56
2.55
2.55


Strain point (° C.)
699
700
700
701
701
703
704


Annealing point
764
764
764
766
766
767
768


(° C.)


Softening point
975
977
979
981
983
985
988


(° C.)


104.0 dPa · s (° C.)
1,236
1,243
1,250
1,257
1,264
1,271
1,279


103.0 dPa · s (° C.)
1,414
1,420
1,425
1,432
1,438
1,445
1,450


102.5 dPa · s (° C.)
1,481
1,490
1,498
1,508
1,517
1,527
1,534


Young's modulus
84.3
84.2
84.0
83.7
83.5
83.2
83.2


(GPa)


Specific Young's
32.7
32.7
32.7
32.6
32.7
32.6
32.7


modulus


(GPa/g · cm−3)























TABLE 21







(mol %)
No. 281
No. 282
No. 283
No. 284
No. 285
No. 286
No. 287





SiO2
67.7
68.2
69.2
69.7
70.2
70.7
71.2


Al2O3
12.0
11.8
11.4
11.2
11.0
10.9
10.7


B2O3
3.3
3.3
3.1
3.1
3.0
3.0
2.9


MgO
7.1
7.0
6.8
6.7
6.6
6.5
6.3


CaO
7.8
7.7
7.5
7.4
7.2
7.1
7.0


SrO
0.4
0.4
0.3
0.3
0.3
0.3
0.3


BaO
1.7
1.6
1.6
1.5
1.5
1.5
1.5


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
20.52
20.67
22.32
22.48
23.40
23.57
24.55


SrO + BaO
2.1
2.0
1.9
1.8
1.8
1.8
1.8


B2O3/BaO
1.9
2.1
1.9
2.1
2.0
2.0
1.9


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
39.5
41.7
44.1
46.7
46.8
47.0
47.1


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−5.4
−5.4
−5.1
−5.1
−5.0
−5.0
−4.8


Thermal expansion
38.1
37.6
37.1
36.6
36.4
35.9
35.8


coefficient


(10−7/° C.)


Density (g/cm3)
2.55
2.54
2.53
2.52
2.52
2.51
2.51


Strain point (° C.)
705
706
708
709
710
711
713


Annealing point
770
771
774
774
776
777
779


(° C.)


Softening point
990
992
997
999
1,001
1,004
1,006


(° C.)


104.0 dPa · s (° C.)
1,286
1,292
1,306
1,312
1,319
1,326
1,333


103.0 dPa · s (° C.)
1,458
1,464
1,478
1,485
1,493
1,499
1,508


102.5 dPa · s (° C.)
1,545
1,553
1,572
1,580
1,591
1,597
1,608


Young's modulus
83.0
82.7
82.3
82.1
81.8
81.9
81.5


(GPa)


Specific Young's
32.6
32.6
32.5
32.6
32.5
32.6
32.5


modulus


(GPa/g · cm−3)





(mol %)
No. 288
No. 289
No. 290
No. 291
No. 292
No. 293
No. 294





SiO2
71.7
72.2
72.7
73.2
73.7
72.6
72.2


Al2O3
10.5
10.3
10.1
9.9
9.7
6.6
7.1


B2O3
2.9
2.8
2.8
2.7
2.7
3.4
3.4


MgO
6.2
6.1
6.0
5.9
5.8
7.3
7.3


CaO
6.9
6.7
6.6
6.5
6.4
8.0
8.0


SrO
0.3
0.3
0.3
0.3
0.3
0.4
0.4


BaO
1.4
1.4
1.4
1.4
1.3
1.7
1.7


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
24.72
25.79
25.96
27.11
27.30
21.35
21.24


SrO + BaO
1.7
1.7
1.7
1.7
1.6
2.1
2.1


B2O3/BaO
2.1
2.0
2.0
1.9
2.1
2.0
2.0


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
50.1
50.2
50.4
50.5
53.8
39.3
39.4


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−4.8
−4.7
−4.6
−4.4
−4.4
0.1
−0.4


Thermal expansion
35.4
35.2
34.9
34.8
34.5
39.6
39.3


coefficient


(10−7/° C.)


Density (g/cm3)
2.50
2.50
2.49
2.49
2.48
2.51
2.51


Strain point (° C.)
713
715
715
717
717
689
687


Annealing point
780
782
782
784
785
755
753


(° C.)


Softening point
1,008
1,010
1,011
1,014
1,016
975
976


(° C.)


104.0 dPa · s (° C.)
1,339
1,345
1,351
1,357
1,362
1,309
1,309


103.0 dPa · s (° C.)
1,515
1,524
1,532
1,540
1,548
1,492
1,490


102.5 dPa · s (° C.)
1,616
1,626
1,633
1,641
1,648
1,587
1,585


Young's modulus
81.3
81.0
80.9
80.7
80.5
78.7
79.2


(GPa)


Specific Young's
32.5
32.4
32.4
32.4
32.4
31.4
31.6


modulus


(GPa/g · cm−3)























TABLE 22







(mol %)
No. 295
No. 296
No. 297
No. 298
No. 299
No. 300
No. 301





SiO2
71.8
71.4
71.0
70.6
70.2
69.8
69.4


Al2O3
7.6
8.1
8.6
9.1
9.6
10.1
10.6


B2O3
3.3
3.3
3.3
3.3
3.3
3.3
3.2


MgO
7.2
7.2
7.1
7.1
7.1
7.0
7.0


CaO
7.9
7.9
7.9
7.8
7.8
7.7
7.7


SrO
0.4
0.4
0.4
0.4
0.4
0.4
0.4


BaO
1.7
1.7
1.7
1.6
1.6
1.6
1.6


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
21.76
21.64
21.52
21.39
21.27
21.15
21.69


SrO + BaO
2.1
2.1
2.1
2.0
2.0
2.0
2.0


B2O3/BaO
1.9
1.9
1.9
2.1
2.1
2.1
2.0


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
39.4
39.4
39.5
41.5
41.6
41.6
41.6


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−0.9
−1.4
−1.9
−2.6
−3.1
−3.7
−4.1


Thermal expansion
39.2
38.9
38.7
38.4
38.1
37.9
37.9


coefficient


(10−7/° C.)


Density (g/cm3)
2.51
2.52
2.52
2.52
2.52
2.53
2.53


Strain point (° C.)
687
686
686
687
689
693
697


Annealing point
754
753
753
755
757
760
764


(° C.)


Softening point
976
977
979
981
983
985
988


(° C.)


104.0 dPa · s (° C.)
1,309
1,308
1,307
1,306
1,304
1,303
1,301


103.0 dPa · s (° C.)
1,491
1,489
1,487
1,486
1,483
1,481
1,477


102.5 dPa · s (° C.)
1,587
1,584
1,583
1,581
1,577
1,575
1,571


Young's modulus
79.4
79.9
80.2
80.5
81.1
81.3
81.8


(GPa)


Specific Young's
31.6
31.7
31.8
32.0
32.1
32.2
32.3


modulus


(GPa/g · cm−3)





(mol %)
No. 302
No. 303
No. 304
No. 305
No. 306
No. 307
No. 308





SiO2
69.1
68.3
67.9
67.5
67.1
66.7
66.3


Al2O3
11.1
12.1
12.6
13.1
13.6
14.1
14.6


B2O3
3.2
3.2
3.2
3.1
3.1
3.1
3.1


MgO
6.9
6.9
6.8
6.8
6.7
6.7
6.7


CaO
7.6
7.6
7.5
7.5
7.4
7.4
7.3


SrO
0.4
0.3
0.3
0.3
0.3
0.3
0.3


BaO
1.6
1.6
1.6
1.6
1.6
1.6
1.5


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
21.59
21.34
21.22
21.77
21.65
21.52
21.39


SrO + BaO
2.0
1.9
1.9
1.9
1.9
1.9
1.8


B2O3/BaO
2.0
2.0
2.0
1.9
1.9
1.9
2.1


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
41.7
44.0
44.1
44.1
44.1
44.2
46.7


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−4.7
−5.8
−6.4
−6.8
−7.4
−7.9
−8.6


Thermal expansion
37.6
37.1
37.0
37.0
36.9
36.8
36.5


coefficient


(10−7/° C.)


Density (g/cm3)
2.53
2.54
2.54
2.54
2.55
2.55
2.55


Strain point (° C.)
702
712
717
722
727
731
735


Annealing point
768
776
780
784
787
789
792


(° C.)


Softening point
992
997
1,000
1,002
1,003
1,004
1,005


(° C.)


104.0 dPa · s (° C.)
1,301
1,297
1,296
1,294
1,293
1,291
1,289


103.0 dPa · s (° C.)
1,476
1,466
1,462
1,457
1,453
1,447
1,442


102.5 dPa · s (° C.)
1,568
1,556
1,553
1,547
1,543
1,536
1,531


Young's modulus
82.1
83.0
83.2
83.7
83.9
84.4
84.7


(GPa)


Specific Young's
32.4
32.7
32.8
32.9
32.9
33.1
33.2


modulus


(GPa/g · cm−3)























TABLE 23







(mol %)
No. 309
No. 310
No. 311
No. 312
No. 313
No. 314
No. 315





SiO2
66.0
65.6
65.2
64.8
70.8
70.4
70.1


Al2O3
15.1
15.6
16.1
16.6
12.0
11.9
11.8


B2O3
3.1
3.1
3.0
3.0
0.2
0.7
1.2


MgO
6.6
6.6
6.5
6.5
7.1
7.1
7.0


CaO
7.3
7.3
7.2
7.2
7.8
7.8
7.8


SrO
0.3
0.3
0.3
0.3
0.4
0.4
0.4


BaO
1.5
1.5
1.5
1.5
1.6
1.6
1.6


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
21.29
21.16
21.73
21.60
354.00
100.57
58.42


SrO + BaO
1.8
1.8
1.8
1.8
2.0
2.0
2.0


B2O3/BaO
2.1
2.1
2.0
2.0
0.1
0.4
0.8


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
46.8
46.8
46.8
46.9
41.5
41.5
41.6


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−9.1
−9.6
−10.1
−10.6
−2.4
−2.8
−3.2


Thermal expansion
36.3
36.2
36.2
36.1
37.5
37.6
37.6


coefficient


(10−7/° C.)


Density (g/cm3)
2.55
2.55
2.56
2.56
2.56
2.56
2.55


Strain point (° C.)
738
741
744
745
748
740
733


Annealing point (° C.)
793
794
795
795
809
802
795


Softening point (° C.)
1,006
1,006
1,007
1,007
1,034
1,025
1,018


104.0 dPa · s (° C.)
1,289
1,288
1,288
1,287
1,342
1,333
1,327


103.0 dPa · s (° C.)
1,439
1,434
1,432
1,427
1,506
1,499
1,494


102.5 dPa · s (° C.)
1,527
1,521
1,520
1,515
1,606
1,597
1,591


Young's modulus
85.2
85.7
85.9
86.4
85.9
85.3
84.7


(GPa)


Specific Young's
33.4
33.6
33.6
33.7
33.5
33.3
33.1


modulus (GPa/g · cm−3)





(mol %)
No. 316
No. 317
No. 318
No. 319
No. 320
No. 321
No. 322





SiO2
69.7
69.4
69.0
68.3
68.0
67.6
67.3


Al2O3
11.8
11.7
11.7
11.5
11.5
11.4
11.4


B2O3
1.7
2.2
2.7
3.7
4.2
4.7
5.2


MgO
7.0
7.0
6.9
6.9
6.8
6.8
6.8


CaO
7.7
7.7
7.6
7.6
7.5
7.5
7.4


SrO
0.4
0.4
0.4
0.3
0.3
0.3
0.3


BaO
1.6
1.6
1.6
1.6
1.6
1.6
1.6


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
41.00
31.55
25.56
18.46
16.19
14.38
12.94


SrO + BaO
2.0
2.0
2.0
1.9
1.9
1.9
1.9


B2O3/BaO
1.1
1.4
1.7
2.3
2.6
2.9
3.3


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
41.6
41.7
41.7
43.9
44.1
44.1
44.2


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−3.8
−4.2
−4.8
−5.7
−6.3
−6.7
−7.3


Thermal expansion
37.5
37.5
37.4
37.4
37.2
37.3
37.1


coefficient


(10−7/° C.)


Density (g/cm3)
2.55
2.54
2.54
2.53
2.52
2.52
2.51


Strain point (° C.)
726
719
714
700
695
689
684


Annealing point (° C.)
789
783
778
766
762
755
751


Softening point (° C.)
1,012
1,006
1,000
988
984
978
973


104.0 dPa · s (° C.)
1,319
1,313
1,306
1,291
1,286
1,279
1,274


103.0 dPa · s (° C.)
1,488
1,482
1,477
1,464
1,459
1,452
1,445


102.5 dPa · s (° C.)
1,583
1,575
1,569
1,556
1,552
1,545
1,540


Young's modulus
84.2
83.7
83.0
81.9
81.4
80.8
80.4


(GPa)


Specific Young's
33.0
32.9
32.7
32.4
32.2
32.1
32.0


modulus (GPa/g · cm−3)























TABLE 24







(mol %)
No. 323
No. 324
No. 325
No. 326
No. 327
No. 328
No. 329





SiO2
66.9
66.5
66.2
65.8
65.5
65.1
72.4


Al2O3
11.3
11.2
11.2
11.1
11.1
11.0
12.2


B2O3
5.7
6.2
6.7
7.2
7.7
8.2
3.4


MgO
6.7
6.7
6.7
6.6
6.6
6.5
1.9


CaO
7.4
7.4
7.3
7.3
7.2
7.2
8.0


SrO
0.3
0.3
0.3
0.3
0.3
0.3
0.4


BaO
1.6
1.6
1.5
1.5
1.5
1.5
1.7


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
11.74
10.73
9.88
9.14
8.51
7.94
21.29


SrO + BaO
1.9
1.9
1.8
1.8
1.8
1.8
2.1


B2O3/BaO
3.6
3.9
4.5
4.8
5.1
5.5
2.0


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
44.2
44.2
46.7
46.7
46.8
46.8
41.9


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−7.7
−8.1
−8.8
−9.2
−9.8
−10.2
−5.5


Thermal expansion
37.3
37.3
37.1
37.2
37.0
37.1
34.2


coefficient


(10−7/° C.)


Density (g/cm3)
2.51
2.51
2.50
2.49
2.49
2.48
2.49


Strain point (° C.)
678
671
667
662
658
652
737


Annealing point (° C.)
745
739
736
730
727
721
798


Softening point (° C.)
968
963
960
956
953
951
1,041


104.0 dPa · s (° C.)
1,267
1,261
1,256
1,250
1,246
1,241
1,377


103.0 dPa · s (° C.)
1,439
1,432
1,426
1,420
1,413
1,408
1,552


102.5 dPa · s (° C.)
1,537
1,533
1,529
1,527
1,525
1,524
1,656


Young's modulus
79.7
79.1
78.6
77.9
77.5
76.8
79.5


(GPa)


Specific Young's
31.7
31.6
31.5
31.2
31.2
30.9
31.9


modulus (GPa/g · cm−3)





(mol %)
No. 330
No. 331
No. 332
No. 333
No. 334
No. 335
No. 336





SiO2
72.0
71.6
71.3
70.9
70.5
70.1
69.8


Al2O3
12.2
12.1
12.0
12.0
11.9
11.8
11.8


B2O3
3.4
3.3
3.3
3.3
3.3
3.3
3.3


MgO
2.4
2.9
3.4
3.9
4.4
4.9
5.4


CaO
8.0
7.9
7.9
7.8
7.8
7.8
7.7


SrO
0.4
0.4
0.4
0.4
0.4
0.4
0.4


BaO
1.7
1.7
1.7
1.7
1.6
1.6
1.6


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
21.18
21.70
21.61
21.48
21.36
21.24
21.15


SrO + BaO
2.1
2.1
2.1
2.1
2.0
2.0
2.0


B2O3/BaO
2.0
1.9
1.9
1.9
2.1
2.1
2.1


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
41.7
41.4
41.2
41.0
42.9
42.6
42.5


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−5.5
−5.4
−5.3
−5.4
−5.4
−5.3
−5.4


Thermal expansion
34.4
34.9
35.2
35.4
35.7
36.1
36.3


coefficient


(10−7/° C.)


Density (g/cm3)
2.50
2.50
2.51
2.51
2.51
2.52
2.52


Strain point (° C.)
734
732
729
726
723
719
717


Annealing point (° C.)
795
792
789
786
783
780
779


Softening point (° C.)
1,035
1,030
1,025
1,021
1,016
1,010
1,007


104.0 dPa · s (° C.)
1,369
1,362
1,354
1,347
1,338
1,329
1,323


103.0 dPa · s (° C.)
1,541
1,533
1,524
1,515
1,507
1,499
1,492


102.5 dPa · s (° C.)
1,645
1,638
1,628
1,619
1,609
1,599
1,590


Young's modulus
80.0
80.1
80.5
80.8
81.0
81.2
81.7


(GPa)


Specific Young's
32.0
32.0
32.1
32.2
32.2
32.3
32.4


modulus (GPa/g · cm−3)























TABLE 25







(mol %)
No. 337
No. 338
No. 339
No. 340
No. 341
No. 342
No. 343





SiO2
69.4
69.0
68.3
67.9
67.6
67.2
66.8


Al2O3
11.7
11.7
11.5
11.5
11.4
11.4
11.3


B2O3
3.2
3.2
3.2
3.2
3.1
3.1
3.1


MgO
5.9
6.4
7.4
7.9
8.4
8.9
9.4


CaO
7.7
7.6
7.6
7.5
7.5
7.4
7.4


SrO
0.4
0.4
0.3
0.3
0.3
0.3
0.3


BaO
1.6
1.6
1.6
1.6
1.6
1.6
1.6


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
21.69
21.56
21.34
21.22
21.81
21.68
21.55


SrO + BaO
2.0
2.0
1.9
1.9
1.9
1.9
1.9


B2O3/BaO
2.0
2.0
2.0
2.0
1.9
1.9
1.9


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
42.2
42.0
43.7
43.5
43.2
43.0
42.7


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−5.2
−5.3
−5.2
−5.3
−5.1
−5.2
−5.1


Thermal expansion
36.8
37.1
37.8
38.0
38.5
38.8
39.2


coefficient


(10−7/° C.)


Density (g/cm3)
2.53
2.53
2.54
2.54
2.55
2.55
2.56


Strain point (° C.)
713
711
703
700
698
695
692


Annealing point (° C.)
776
775
769
768
766
764
761


Softening point (° C.)
1,003
999
990
986
983
979
975


104.0 dPa · s ( ° C.)
1,315
1,307
1,290
1,282
1,275
1,267
1,258


103.0 dPa · s ( ° C.)
1,485
1,478
1,464
1,457
1,451
1,444
1,436


102.5 dPa · s ( ° C.)
1,581
1,572
1,553
1,544
1,536
1,527
1,517


Young's modulus (GPa)
81.9
82.2
82.7
83.1
83.4
83.7
84.0


Specific Young's
32.4
32.5
32.6
32.7
32.8
32.8
32.9


modulus (GPa/g · cm−3)





(mol %)
No. 344
No. 345
No. 346
No. 347
No. 348
No. 349
No. 350





SiO2
66.5
66.1
65.7
65.3
65.0
72.4
72.0


Al2O3
11.2
11.2
11.1
11.0
11.0
12.2
12.2


B2O3
3.1
3.1
3.1
3.0
3.0
3.4
3.4


MgO
9.9
10.4
10.9
11.4
11.9
7.3
7.2


CaO
7.4
7.3
7.3
7.2
7.2
2.6
3.1


SrO
0.3
0.3
0.3
0.3
0.3
0.4
0.4


BaO
1.5
1.5
1.5
1.5
1.5
1.7
1.7


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
21.45
21.32
21.19
21.77
21.67
21.29
21.18


SrO + BaO
1.8
1.8
1.8
1.8
1.8
2.1
2.1


B2O3/BaO
2.1
2.1
2.1
2.0
2.0
2.0
2.0


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
44.9
44.7
44.4
44.1
43.9
41.9
41.7


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−5.1
−5.2
−5.1
−5.0
−5.0
−10.9
−10.4


Thermal expansion
39.5
39.8
40.2
40.8
41.0
30.7
31.2


coefficient


(10−7/° C.)


Density (g/cm3)
2.56
2.56
2.56
2.57
2.57
2.48
2.49


Strain point (° C.)
690
688
686
686
686
738
735


Annealing point (° C.)
759
757
754
753
751
800
798


Softening point (° C.)
972
969
966
964
962
1,025
1,022


104.0 dPa · s ( ° C.)
1,250
1,242
1,233
1,225
1,218
1,372
1,365


103.0 dPa · s ( ° C.)
1,430
1,424
1,416
1,410
1,404
1,543
1,533


102.5 dPa · s ( ° C.)
1,509
1,501
1,492
1,485
1,476
1,648
1,640


Young's modulus (GPa)
84.3
84.6
84.9
85.0
85.6
82.0
82.0


Specific Young's
33.0
33.1
33.1
33.0
33.2
33.0
33.0


modulus (GPa/g · cm−3)























TABLE 26







(mol %)
No. 351
No. 352
No. 353
No. 354
No. 355
No. 356
No. 357





SiO2
71.6
71.3
70.9
70.5
70.2
69.8
69.4


Al2O3
12.1
12.0
12.0
11.9
11.9
11.8
11.7


B2O3
3.3
3.3
3.3
3.3
3.3
3.3
3.2


MgO
7.2
7.2
7.1
7.1
7.0
7.0
7.0


CaO
3.6
4.1
4.6
5.1
5.6
6.1
6.6


SrO
0.4
0.4
0.4
0.4
0.4
0.4
0.4


BaO
1.7
1.7
1.7
1.6
1.6
1.6
1.6


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
21.70
21.61
21.48
21.36
21.27
21.15
21.69


SrO + BaO
2.1
2.1
2.1
2.0
2.0
2.0
2.0


B2O3/BaO
1.9
1.9
1.9
2.1
2.1
2.1
2.0


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
41.4
41.2
41.0
42.9
42.7
42.5
42.2


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−9.7
−9.1
−8.6
−8.1
−7.6
−7.0
−6.3


Thermal expansion
32.0
32.6
33.2
33.8
34.3
35.1
36.0


coefficient


(10−7/° C.)


Density (g/cm3)
2.49
2.50
2.50
2.51
2.51
2.52
2.52


Strain point (° C.)
733
730
727
724
721
717
714


Annealing point
796
793
791
788
786
782
779


(° C.)


Softening point
1,019
1,016
1,014
1,010
1,008
1,004
1,001


(° C.)


104.0 dPa · s (° C.)
1,357
1,350
1,343
1,335
1,329
1,321
1,313


103.0 dPa · s (° C.)
1,522
1,514
1,506
1,499
1,493
1,486
1,482


102.5 dPa · s (° C.)
1,631
1,622
1,613
1,604
1,596
1,587
1,579


Young's modulus
82.1
82.2
82.2
82.2
82.4
82.4
82.4


(GPa)


Specific Young's
32.9
32.9
32.8
32.8
32.8
32.7
32.6


modulus


(GPa/g · cm−3)





(mol %)
No. 358
No. 359
No. 360
No. 361
No. 362
No. 363
No. 364





SiO2
69.0
68.3
67.9
67.6
67.2
66.8
66.4


Al2O3
11.7
11.5
11.5
11.4
11.3
11.3
11.2


B2O3
3.2
3.2
3.2
3.1
3.1
3.1
3.1


MgO
6.9
6.9
6.8
6.8
6.8
6.7
6.7


CaO
7.1
8.1
8.6
9.1
9.6
10.1
10.6


SrO
0.4
0.3
0.3
0.3
0.3
0.3
0.3


BaO
1.6
1.6
1.6
1.6
1.6
1.6
1.5


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
21.56
21.34
21.22
21.81
21.68
21.55
21.42


SrO + BaO
2.0
1.9
1.9
1.9
1.9
1.9
1.8


B2O3/BaO
2.0
2.0
2.0
1.9
1.9
1.9
2.1


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.8
0.8
0.8


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
42.0
43.7
43.5
43.2
42.9
42.7
44.8


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−5.8
−4.7
−4.2
−3.5
−2.9
−2.4
−1.9


Thermal expansion
36.7
38.2
38.9
39.7
40.6
41.4
42.2


coefficient


(10−7/° C.)


Density (g/cm3)
2.53
2.54
2.54
2.55
2.56
2.56
2.57


Strain point (° C.)
711
702
699
696
691
688
684


Annealing point
776
768
764
761
756
753
748


(° C.)


Softening point
998
991
988
985
982
980
977


(° C.)


104.0 dPa · s (° C.)
1,306
1,291
1,285
1,279
1,271
1,265
1,258


103.0 dPa · s (° C.)
1,476
1,465
1,459
1,454
1,446
1,440
1,432


102.5 dPa · s (° C.)
1,570
1,555
1,547
1,541
1,534
1,528
1,522


Young's modulus
82.4
82.5
82.6
82.7
82.7
82.8
82.7


(GPa)


Specific Young's
32.6
32.5
32.4
32.4
32.4
32.3
32.2


modulus


(GPa/g · cm−3)























TABLE 27







(mol %)
No. 365
No. 366
No. 367
No. 368
No. 369
No. 370
No. 371





SiO2
66.1
65.7
65.3
65.0
68.3
68.0
67.6


Al2O3
11.2
11.1
11.0
11.0
11.5
11.5
11.4


B2O3
3.1
3.1
3.0
3.0
3.2
3.2
3.2


MgO
6.6
6.6
6.6
6.5
6.9
6.8
6.8


CaO
11.1
11.6
12.1
12.6
7.6
7.5
7.5


SrO
0.3
0.3
0.3
0.3
0.9
1.4
1.9


BaO
1.5
1.5
1.5
1.5
1.6
1.6
1.6


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
21.32
21.19
21.77
21.67
21.34
21.25
21.13


SrO + BaO
1.8
1.8
1.8
1.8
2.5
3.0
3.5


B2O3/BaO
2.1
2.1
2.0
2.0
2.0
2.0
2.0


BaO/(SrO + BaO)
0.8
0.8
0.8
0.8
0.6
0.5
0.5


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
44.7
44.4
44.1
43.9
33.2
27.6
23.5


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−1.4
−0.8
−0.1
0.4
−4.6
−4.2
−3.6


Thermal expansion
42.8
43.6
44.6
45.2
38.4
39.1
40.2


coefficient


(10−7/° C.)


Density (g/cm3)
2.57
2.57
2.58
2.59
2.55
2.56
2.57


Strain point (° C.)
681
676
673
670
702
700
696


Annealing point
745
740
736
733
767
764
760


(° C.)


Softening point
976
974
973
972
989
986
981


(° C.)


104.0 dPa · s (° C.)
1,254
1,247
1,241
1,237
1,293
1,290
1,285


103.0 dPa · s (° C.)
1,427
1,419
1,411
1,405
1,466
1,464
1,458


102.5 dPa · s (° C.)
1,517
1,511
1,507
1,503
1,556
1,553
1,547


Young's modulus
82.9
82.9
82.9
83.1
82.4
82.3
82.2


(GPa)


Specific Young's
32.3
32.2
32.1
32.1
32.4
32.2
32.0


modulus


(GPa/g · cm−3)





(mol %)
No. 372
No. 373
No. 374
No. 375
No. 376
No. 377
No. 378





SiO2
67.3
66.9
66.6
66.3
65.9
65.6
65.2


Al2O3
11.4
11.3
11.3
11.2
11.1
11.1
11.0


B2O3
3.1
3.1
3.1
3.1
3.1
3.1
3.0


MgO
6.8
6.7
6.7
6.7
6.6
6.6
6.6


CaO
7.4
7.4
7.4
7.3
7.3
7.3
7.2


SrO
2.4
2.9
3.4
3.9
4.4
4.9
5.4


BaO
1.6
1.6
1.6
1.5
1.5
1.5
1.5


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
21.71
21.58
21.48
21.39
21.26
21.16
21.73


SrO + BaO
4.0
4.5
5.0
5.4
5.9
6.4
6.9


B2O3/BaO
1.9
1.9
1.9
2.1
2.1
2.1
2.0


BaO/(SrO + BaO)
0.4
0.4
0.3
0.3
0.3
0.2
0.2


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
20.5
18.1
16.2
14.9
13.6
12.5
11.5


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−3.1
−2.5
−2.0
−1.6
−1.0
−0.5
0.1


Thermal expansion
41.0
42.1
42.9
43.6
44.7
45.4
46.5


coefficient


(10−7/° C.)


Density (g/cm3)
2.58
2.59
2.60
2.61
2.63
2.64
2.65


Strain point (° C.)
695
692
690
689
687
687
688


Annealing point
758
754
751
748
745
742
741


(° C.)


Softening point
979
976
974
972
971
970
969


(° C.)


104.0 dPa · s (° C.)
1,281
1,277
1,273
1,269
1,264
1,261
1,257


103.0 dPa · s (° C.)
1,455
1,449
1,444
1,440
1,434
1,428
1,422


102.5 dPa · s (° C.)
1,544
1,540
1,535
1,533
1,530
1,526
1,525


Young's modulus
82.2
81.9
82.0
81.8
81.5
81.7
81.4


(GPa)


Specific Young's
31.8
31.5
31.5
31.3
31.0
31.0
30.7


modulus


(GPa/g · cm−3)























TABLE 28







(mol %)
No. 379
No. 380
No. 381
No. 382
No. 383
No. 384
No. 385





SiO2
69.7
69.4
69.0
68.3
68.0
67.6
67.3


Al2O3
11.8
11.7
11.7
11.5
11.5
11.4
11.4


B2O3
3.2
3.2
3.2
3.2
3.2
3.2
3.1


MgO
7.0
7.0
6.9
6.9
6.8
6.8
6.8


CaO
7.7
7.7
7.6
7.6
7.5
7.5
7.4


SrO
0.4
0.4
0.4
0.3
0.3
0.3
0.3


BaO
0.1
0.6
1.1
2.1
2.6
3.1
3.6


ZnO
0.0
0.0
0.0
0.0
0.0
0.0
0.0


P2O5
0.0
0.0
0.0
0.0
0.0
0.0
0.0


SnO2
0.1
0.1
0.1
0.1
0.1
0.1
0.1


SiO2/B2O3
21.78
21.69
21.56
21.34
21.25
21.13
21.71


SrO + BaO
0.5
1.0
1.5
2.4
2.9
3.4
3.9


B2O3/BaO
32.0
5.3
2.9
1.5
1.2
1.0
0.9


BaO/(SrO + BaO)
0.2
0.6
0.7
0.9
0.9
0.9
0.9


(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
169.4
84.3
55.9
34.6
28.5
24.2
21.0


(CaO + SrO + BaO) − (Al2O3 + B2O3)
−6.8
−6.2
−5.8
−4.7
−4.3
−3.7
−3.2


Thermal expansion
34.6
35.5
36.4
38.4
39.3
40.5
41.4


coefficient


(10−7/° C.)


Density (g/cm3)
2.48
2.50
2.52
2.55
2.57
2.59
2.61


Strain point (° C.)
718
714
711
703
701
697
697


Annealing point (° C.)
785
780
777
767
765
760
758


Softening point (° C.)
1,006
1,002
999
990
987
982
980


104.0 dPa · s (° C.)
1,309
1,306
1,303
1,295
1,293
1,288
1,287


103.0 dPa · s (° C.)
1,476
1,474
1,473
1,468
1,466
1,462
1,459


102.5 dPa · s (° C.)
1,574
1,569
1,567
1,558
1,557
1,552
1,550


Young's modulus (GPa)
83.3
83.2
82.8
82.2
81.9
81.6
81.5


Specific Young's
33.6
33.3
32.9
32.2
31.9
31.5
31.2


modulus (GPa/g · cm−3)


















(mol %)
No. 386
No. 387
No. 388
No. 389
No. 390
No. 391







SiO2
66.9
66.6
66.2
65.9
65.5
65.2



Al2O3
11.3
11.2
11.2
11.1
11.1
11.0



B2O3
3.1
3.1
3.1
3.1
3.1
3.0



MgO
6.7
6.7
6.7
6.6
6.6
6.5



CaO
7.4
7.4
7.3
7.3
7.3
7.2



SrO
0.3
0.3
0.3
0.3
0.3
0.3



BaO
4.1
4.6
5.1
5.6
6.1
6.6



ZnO
0.0
0.0
0.0
0.0
0.0
0.0



P2O5
0.0
0.0
0.0
0.0
0.0
0.0



SnO2
0.1
0.1
0.1
0.1
0.1
0.1



SiO2/B2O3
21.58
21.48
21.35
21.26
21.13
21.73



SrO + BaO
4.4
4.9
5.4
5.9
6.4
6.9



B2O3/BaO
0.8
0.7
0.6
0.6
0.5
0.5



BaO/(SrO + BaO)
0.9
0.9
0.9
0.9
1.0
1.0



(SiO2 + Al2O3 + B2O3)/(SrO + BaO)
18.5
16.5
14.9
13.6
12.5
11.5



(CaO + SrO + BaO) − (Al2O3 + B2O3)
−2.6
−2.0
−1.6
−1.0
−0.5
0.1



Thermal expansion
42.6
43.6
44.6
45.6
46.6
47.7



coefficient



(10−7/° C.)



Density (g/cm3)
2.63
2.65
2.67
2.68
2.70
2.72



Strain point (° C.)
694
692
692
692
692
694



Annealing point (° C.)
755
751
749
747
745
745



Softening point (° C.)
977
975
973
972
972
972



104.0 dPa · s (° C.)
1,283
1,280
1,277
1,275
1,272
1,271



103.0 dPa · s (° C.)
1,455
1,450
1,445
1,440
1,434
1,430



102.5 dPa · s (° C.)
1,548
1,545
1,542
1,541
1,537
1,538



Young's modulus (GPa)
81.0
80.8
80.6
80.3
80.2
79.7



Specific Young's
30.8
30.5
30.2
29.9
29.7
29.2



modulus (GPa/g · cm−3)










First, a glass batch prepared by blending glass raw materials so as to achieve the glass composition shown in each table was loaded in a platinum crucible, and then melted at from 1,600° C. to 1,650° C. for 24 hours. In melting the glass batch, molten glass was stirred to be homogenized by using a platinum stirrer. Next, the molten glass was poured on a carbon sheet and formed into a sheet shape, followed by being annealed at a temperature around an annealing point for 30 minutes. Each of the resultant samples was evaluated for its thermal expansion coefficient, density, strain point, annealing point, softening point, temperature at a viscosity at high temperature of 104.0 dPa·s, temperature at a viscosity at high temperature of 103.0 dPa·s, temperature at a viscosity at high temperature of 102.5 dPa·s, Young's modulus, and specific Young's modulus. Part of the glass characteristics are not actually measured values but estimate values calculated from the previous data.


The thermal expansion coefficient is a value obtained by measuring an average thermal expansion coefficient within a temperature range of from 30° C. to 380° C. with a dilatometer.


The density is a value measured by a well-known Archimedes method.


The strain point, the annealing point, and the softening point are values measured in accordance with methods specified in ASTM C336 and C338.


The temperatures at viscosities at high temperature of 104.0 dPa·s, 103.0 dPa·s, and 102.5 dPa·s are values measured by a platinum sphere pull up method.


The Young's modulus is a value measured by a flexural resonance method.


The specific Young's modulus is a value obtained by dividing the Young's modulus by the density.


As apparent from the tables, each of Sample Nos. 1 to 391, which was free of Y2O3 and La2O3 in its glass composition, had a strain point of 650° C. or more. Accordingly, each of Sample Nos. 1 to 391 may be suitable as a substrate for forming a TFT circuit in a flat panel display, such as a liquid crystal display or an OLED display, or as a carrier glass for holding a resin substrate for forming the TFT circuit.

Claims
  • 1. An alkali-free glass sheet, comprising as a glass composition, in terms of mol %, 60% to 74% of SiO2, 6% to 20% of Al2O3, 0% to 9% of B2O3, 1% to 13% of MgO, 1% to 13% of CaO, 0% to 7% of SrO, 0% to 8% of BaO, and 0% to less than 1.0% of Y2O3+La2O3, being substantially free of an alkali metal oxide, and having a strain point of 650° C. or more.
  • 2. The alkali-free glass sheet according to claim 1, wherein the alkali-free glass sheet has a content of SrO+BaO of from 0 mol % to 3 mol %.
  • 3. The alkali-free glass sheet according to claim 1, wherein the alkali-free glass sheet has a strain point of 700° C. or more.
  • 4. The alkali-free glass sheet according to claim 1, wherein the alkali-free glass sheet has a Young's modulus of 79 GPa or more.
  • 5. The alkali-free glass sheet according to claim 1, wherein the alkali-free glass sheet has a thermal expansion coefficient of from 30×10−7/° C. to 45×10−7/° C.
  • 6. The alkali-free glass sheet according to claim 1, wherein the alkali-free glass sheet has a temperature at a viscosity at high temperature of 102.5 dPa·s of 1,600° C. or less.
Priority Claims (1)
Number Date Country Kind
2018-195522 Oct 2018 JP national
PCT Information
Filing Document Filing Date Country Kind
PCT/JP2019/039491 10/7/2019 WO 00