Glass for Memory Recording Media

Information

  • Patent Application
  • 20250136494
  • Publication Number
    20250136494
  • Date Filed
    January 25, 2023
    2 years ago
  • Date Published
    May 01, 2025
    8 days ago
Abstract
Glass compositions include silica (SiO2), alumina (Al2O3) and calcium oxide (CaO) as components and may optionally include lithium oxide (Li2O), magnesia (MgO), sodium oxide (Na2O), phosphorus oxide (P2O5), barium oxide (BaO), strontium oxide (SrO), B2O3 and other components. Glasses formed from the glass compositions may be characterized by high specific modulus and a high temperature at which the glass has a viscosity of 160 kP.
Description
FIELD

The present specification generally relates to glass compositions suitable for use as substrate material for electronic devices. More specifically, the present specification is directed to substrate materials for memory recording disks suitable for the Heat Assisted Magnetic Recording (HAMR) process.


BACKGROUND

The industry is continuously requiring the ability to store more and more data. In order to accommodate this need for increased data storage, the industry is having to make shifts in the way they store data on disks. In order to get around physics barriers, they have moved to a new technology called Heat Assisted Magnetic Recording (HAMR). With this technology, data storage is accomplished by heating up small areas of the magnetic memory material to write the data and rapidly cooling the magnetic memory material to store the data in a more stable phase. The substrate used to support the magnetic memory material in current magnetic disk technology is aluminum. With the transition to HAMR technology, however, aluminum will no longer be a viable substrate because it does not have the ability to function at the temperatures, such as about 700° C. or greater, necessary for writing data with the HAMR technology. Therefore, a need exists for new substrate materials, such as glass, that are resistant to high temperatures, have higher rigidity and smooth, flat surfaces, and high resistance to fast cooling and heating (or thermal shock resistance), which, in turn, requires low coefficient of thermal expansion.


SUMMARY

According to an embodiment of the present disclosure, a glass comprises a plurality of components, the glass having a composition of the components comprising greater than or equal to 60.0 mol. % and less than or equal to 75.0 mol. % SiO2, greater than or equal to 10.0 mol. % and less than or equal to 18.0 mol. % Al2O3, greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. % Li2O, greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. % Na2O, greater than or equal to 0.0 mol. % and less than or equal to 3.8 mol. % B2O3, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. % P2O5, greater than or equal to 0.0 mol. % and less than or equal to 2.0 mol. % ZnO, greater than or equal to 0.0 mol. % and less than or equal to 0.7 mol. % La2O3, greater than or equal to 0.0 at. % and less than or equal to 3.0 at. % F, a sum of CaO+MgO greater than or equal to 5.0 mol. %, a sum of Li2O+Na2O greater than or equal to 0.5 mol. %, a sum of Li2O+MgO greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. %, a sum of MgO+ZnO greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. %, a sum of CaO+SrO greater than or equal to 0.0 mol. % and less than or equal to 9.0 mol. %, and a sum of ZrO2+TiO2+FeO+Fe2O3 greater than or equal to 0.0 mol. % and less than or equal to 1.5 mol. %, wherein the glass has an aluminum-binding parameter PAl that is greater than or equal to −2.8, a modifier-binding parameter Pmod that is less than or equal to 2.8 and an anorthite precipitation parameter Panort that is less than or equal to 10, where PAl is calculated from the glass composition in terms of mol. % of the components according to the Formula (VIII):










P
Al

=



R
2


O

+

R

O

+


P
2



O
5


+

1.6
*

RE
m



O
n


-


Al
2



O
3







(
VIII
)







Pmod is calculated from the glass composition in terms of mol. % of the components according to the Formula (VII):










P

mod



=



R
2


O

+

R

O

-


Al
2



O
3


-


P
2



O
5


-



RE


m



O
n







(
VII
)







Panort is calculated from the glass composition in terms of mol. % of the components according to the Formula (I):












P
anort

=

min


{


CaO

+
SrO
+

0.5
*
BaO

+


Na
2


O

+

0.5
*

K
2


O


,


Al
2



O
3






)

,




(
I
)







where R2O is a total sum of monovalent metal oxides, RO is a total sum of divalent metal oxides, REmOn is a total sum of rare earth metal oxides in all redox states present, and an asterisk (*) means multiplication.


According to another embodiment of the present disclosure, a glass comprises a plurality of components, the glass having a composition of the components comprising greater than or equal to 60.0 mol. % and less than or equal to 80.0 mol. % SiO2, greater than or equal to 10.0 mol. % and less than or equal to 18.0 mol. % Al2O3, greater than or equal to 0.5 mol. % and less than or equal to 7.5 mol. % Li2O, greater than or equal to 0.0 mol. % and less than or equal to 0.5 mol. % ZrO2, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. % REmOn, greater than or equal to 0.0 at. % and less than or equal to 0.5 at. % F and may optionally contain one or more components selected from P2O5, B2O3, MgO, CaO, BaO, ZnO, MnO, Na2O, K2O, Fe2O3, FeO, Cu2O, Rb2O, Ag2O, Cs2O, Au2O, Hg2O, Tl2O, BeO, CoO, NiO, CuO, SrO, CdO, SnO, PbO and TiO2, wherein the composition of the components satisfies the condition: 0.00≤min(REmOn,P2O5) [mol. %]≤0.30, and wherein the glass has a cristobalite precipitation parameter Pcrist that is less than or equal to 28, an anorthite precipitation parameter Panort that is less than or equal to 10, a cordierite precipitation parameter Pcord that is less than or equal to 5.0 and a spodumene precipitation parameter Pspod that is less than or equal to 7.5, and wherein the glass satisfies the conditions: Pspm>32, Panpt>680 and P160 kP>1150, where Panpt is an annealing point parameter, calculated from the glass composition in terms of mol. % of the components according to the Formula (IX):











P
anpt

=


6

6


4
.
7


+

5.2303
*

SiO
2


-

11.493
*

B
2



O
3


-

7.1742
*

P
2



O
5


+

8.398
*

ZrO
2


-

2.0585
*
MgO

-

2.1088
*
CaO

-

3.8995
*
BaO

-

10.323
*
ZnO

-

9.0727
*
MnO

-

23.455
*

Li
2


O

-

33.819
*

Na
2


O

-

25.204
*

K
2


O

+

15.745
*

Y
2



O
3


+

8.9047
*

La
2



O
3


-

33.96
*

(



Fe
2



O
3


+
FeO

)


-

5.6704
*

(



R
2


O

+

R

O

-


Al
2



O
3



)


-

4.2545
*

(


SiO
2

-

(


6
*

K
2


O

+

6
*

Na
2


O

+

4
*

Li
2


O

+

2
*

R

O



)


)


-

19.439
*

Cu
2


O



,




(
IX
)







Pspm is a specific modulus parameter, calculated from the glass composition in terms of mol. % of the components according to the Formula (X):











P
spm

=

32.1
+

0.47744
*

SiO
2


-

1.6506
*

Al
2



O
3


-

0.11775
*

B
2



O
3


-

0.30166
*

P
2



O
5


+

0.20187
*

TiO
2


+

0.20219
*

ZrO
2


+

0.96268
*
MgO

+

0.83379
*
CaO

+

0.53685
*
SrO

+

0.41218
*
BaO

+

0.63264
*
ZnO

+

0.75365
*
MnO

+

0.62984
*
CuO

-

1.2496
*

Na
2


O

-

1.5154
*

K
2


O

+

1.4746
*

Cu
2


O

-

0.037941
*

Y
2



O
3


-

0.75836
*

La
2



O
3


-

1.8052
*

(



R
2


O

+

R

O

-


Al
2



O
3



)


-

0.47488
*

(


SiO
2

-

(


6
*

K
2


O

+

6
*

Na
2


O

+

4
*

Li
2


O

+

2
*

R

O



)


)




,




(
X
)







P160 kP is a parameter predicting a temperature at which a viscosity of the glass is 160 kP, calculated from the glass composition in terms of mol. % of the components according to the Formula (XI):











P

160

kP


=

1058
+

2.5492
*

SiO
2


-

25.725
*

Al
2



O
3


-

11.327
*

B
2



O
3


-

10.014
*

P
2



O
5


-

14.309
*

TiO
2


-

11.594
*

ZrO
2


+

30.559
*
MgO

+

29.29
*
CaO

+

30.592
*
SrO

+

30.079
*
BaO

+

23.323
*
ZnO

+

19.724
*
MnO

+

11.888
*
PbO

+

11.462
*
CuO

+

17.09
*

Li
2


O

+

16.475
*

Na
2


O

+

11.386
*

K
2


O

+

14.422
*

Y
2



O
3


-

36.909
*

La
2



O
3


-

34.144
*

(



Fe
2



O
3


+
FeO

)


-

35.001
*

(



R
2


O

+

R

O

-


Al
2



O
3



)




,




(
XI
)







Pcrist is calculated from the glass composition in terms of mol. % of the components according to the Formula (VI):











P
crist

=



SiO


2

-

6
*

(




Na


2


O

+


K
2


O


)


-

4
*

Li
2


O

-

2
*

(

CaO

+
SrO
+
BaO


)


-

2.5
*
MgO



,




(
VI
)







Panort is calculated from the glass composition in terms of mol. % of the components according to the Formula (I):











P
anort

=

min

(


CaO
+
SrO
+

0.5
*
BaO

+


Na
2


O

+

0.5
*

K
2


O


,


Al
2



O
3



)


,




(
I
)







Pcord is calculated from the glass composition in terms of mol. % of the components according to the Formula (III):











P
cord

=

MgO

+
MnO
+
FeO



,




(
III
)







Pspod is calculated from the glass composition in terms of mol. % of the components according to the Formula (IV):











P

spod



=

min

(



Li
2


O

,



Al
2



O
3


-


K
2


O

-

0.5
*

Na
2


O



)


,




(
IV
)







where R2O is a total sum of monovalent metal oxides, RO is a total sum of divalent metal oxides, REmOn is a total sum of rare earth metal oxides in all redox states present, and an asterisk (*) means multiplication.


According to one more embodiment of the present disclosure, a glass comprises a plurality of components, the glass having a composition of the components comprising greater than or equal to 60.0 mol. % and less than or equal to 75.0 mol. % SiO2, greater than or equal to 10.5 mol. % and less than or equal to 18.0 mol. % Al2O3, greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. % CaO, greater than or equal to 0.0 mol. % and less than or equal to 7.8 mol. % Li2O, greater than or equal to 0.0 mol. % and less than or equal to 4.3 mol. % MgO, greater than or equal to 0.0 mol. % and less than or equal to 0.5 mol. % ZrO2, greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. % REmOn and may optionally contain one or more components selected from B2O3, P2O5, TiO2, SrO, BaO, ZnO, MnO, CuO, Na2O, K2O, Cu2O, Rb2O, Ag2O, Cs2O, Au2O, Hg2O, Tl2O, BeO, FeO, CoO, NiO, CdO, SnO, PbO and Fe2O3, wherein the glass has a cristobalite precipitation parameter Pcrist that is less than or equal to 28, an anorthite precipitation parameter Panort that is less than or equal to 10 and a modifier-binding parameter Pmod that is greater than or equal to −3.0 and the glass satisfies the condition: Pspm−(92.5−0.05*P160 kP)>0.000, where Pspm is a specific modulus parameter, calculated from the glass composition in terms of mol. % of the components according to the Formula (X):











P
spm

=


3


2
.
1


0

+

0.47744
*

SiO
2


-

1.6506
*

Al
2



O
3


-

0.11775
*

B
2



O
3


-

0.30166
*

P
2



O
5


+

0.20187
*

TiO
2


+

0.20219
*

ZrO
2


+

0.96268
*
MgO

+

0.83379
*
CaO

+

0.53685
*
SrO

+

0.41218
*
BaO

+

0.63264
*
ZnO

+

0.75365
*
MnO

+

0.62984
*
CuO

-

1.2496
*

Na
2


O

-

1.5154
*

K
2


O

+

1.4746
*

Cu
2


O

-

0.037941
*

Y
2



O
3


-

0.75836
*

La
2



O
3


-

1.8052
*

(



R
2


O

+

R

O

-


Al
2



O
3



)


-

0.47488
*

(


SiO
2

-

(


6
*

K
2


O

+

6
*

Na
2


O

+

4
*

Li
2


O

+

2
*

R

O



)


)




,




(
X
)







P160 kP is a parameter predicting a temperature at which the glass has a viscosity of 160 kP, calculated from the glass composition in terms of mol. % of the components according to the Formula (XI):











P

160

kP


=

1058
+

2.5492
*

SiO
2


-

25.725
*

Al
2



O
3


-

11.327
*

B
2



O
3


-

10.014
*

P
2



O
5


-

14.309
*

TiO
2


-

11.594
*

ZrO
2


+

30.559
*
MgO

+

29.29
*
CaO

+

30.592
*
SrO

+

30.079
*
BaO

+

23.323
*
ZnO

+

19.724
*
MnO

+

11.888
*
PbO

+

11.462
*
CuO

+

17.09
*

Li
2


O

+

16.475
*

Na
2


O

+

11.386
*

K
2


O

+

14.422
*

Y
2



O
3


-

36.909
*

La
2



O
3


-

34.144
*

(



Fe
2



O
3


+
FeO

)


-

35.001
*

(



R
2


O

+

R

O

-


Al
2



O
3



)




,




(
XI
)







Pcrist is a value of a cristobalite precipitation parameter, calculated from the glass composition in terms of mol. % of the components according to the Formula (VI):











P
crist

=



SiO


2

-

6
*

(




Na


2


O

+


K
2


O


)


-

4
*

Li
2


O

-

2
*

(

CaO

+
SrO
+
BaO


)


-

2.5
*
MgO



,




(
VI
)







Panort is a value of an anorthite precipitation parameter, calculated from the glass composition in terms of mol. % of the components according to the Formula (I):











P
anort

=

min

(


CaO
+
SrO
+

0.5
*
BaO

+


Na
2


O

+

0.5
*

K
2


O


,


Al
2



O
3



)


,




(
I
)







Pmod is a value of a modifier-binding parameter, calculated from the glass composition in terms of mol. % of the components according to the Formula (VII):











P
mod

=



R
2


O

+

R

O

-


Al
2



O
3


-


P
2



O
5


-


RE
m



O
n




,




(
VII
)







where R2O is a total sum of monovalent metal oxides, RO is a total sum of divalent metal oxides, REmOn is a total sum of rare earth metal oxides in all redox states present, and an asterisk (*) means multiplication.


These and other aspects, objects, and features of the present disclosure will be understood and appreciated by those skilled in the art upon studying the following specification, claims, and appended drawings.





BRIEF DESCRIPTION OF THE DRAWINGS


FIG. 1 is a plot illustrating the relationship between the annealing point An.P. and the annealing point parameter Panpt calculated by formula (IX) for some Comparative Glasses and some Exemplary Glasses according to an embodiment of the present disclosure.



FIG. 2 is a plot illustrating the relationship between the specific modulus E/dRT and the specific modulus parameter Pspm calculated by formula (X) for some Comparative Glasses and some Exemplary Glasses according to an embodiment of the present disclosure.



FIG. 3 is a plot illustrating the relationship between T160 kP, the temperature at which the glass has a viscosity of 160 kP, and a parameter P160 kP calculated by formula (XI) that predicts the temperature at which the glass has a viscosity of 160 kP for some Comparative Glasses and some Exemplary Glasses according to an embodiment of the present disclosure.



FIG. 4 is a plot illustrating the relationship between the parameter P160 kP and the specific modulus parameter Pspm for some Comparative Glasses and some Exemplary Glasses according to an embodiment of the present disclosure.



FIG. 5 is a plot illustrating the relationship between the temperature s T160 kP and the specific modulus E/dRT for some Comparative Glasses and some Exemplary Glasses according to an embodiment of the present disclosure.





DETAILED DESCRIPTION

In the following detailed description, for purposes of explanation and not limitation, example embodiments disclosing specific details are set forth to provide a thorough understanding of various principles of the present disclosure. However, it will be apparent to one having ordinary skill in the art, having had the benefit of the present disclosure, that the present disclosure may be practiced in other embodiments that depart from the specific details disclosed herein. Moreover, descriptions of well-known devices, methods and materials may be omitted so as not to obscure the description of various principles of the present disclosure. Finally, wherever applicable, like reference numerals refer to like elements.


Unless otherwise expressly stated, it is in no way intended that any method set forth herein be construed as requiring that its steps be performed in a specific order. Accordingly, where a method claim does not actually recite an order to be followed by its steps, or it is not otherwise specifically stated in the claims or descriptions that the steps are to be limited to a specific order, it is in no way intended that an order be inferred, in any respect. This holds for any possible non-express basis for interpretation, including, without limitation, matters of logic with respect to arrangement of steps or operational flow; plain meaning derived from grammatical organization or punctuation; the number or type of embodiments described in the specification.


As used herein, the term “and/or,” when used in a list of two or more items, means that any one of the listed items can be employed by itself, or any combination of two or more of the listed items can be employed. For example, if a composition is described as containing components A, B, and/or C, the composition can contain A alone; B alone; C alone; A and B in combination; A and C in combination; B and C in combination; or A, B, and C in combination.


Modifications of the disclosure will occur to those skilled in the art and to those who make or use the disclosure. Therefore, it is understood that the embodiments shown in the drawings and described above are merely for illustrative purposes and not intended to limit the scope of the disclosure, which is defined by the following claims, as interpreted according to the principles of patent law, including the doctrine of equivalents.


As used herein, the term “about” means that amounts, sizes, formulations, parameters, and other quantities and characteristics are not and need not be exact, but may be approximate and/or larger or smaller, as desired, reflecting tolerances, conversion factors, rounding off, measurement error and the like, and other factors known to those skilled in the art. When the term “about” is used in describing a value or an end-point of a range, the disclosure should be understood to include the specific value or end-point referred to. Whether or not a numerical value or end-point of a range in the specification recites “about,” the numerical value or end-point of a range is intended to include two embodiments: one modified by “about,” and one not modified by “about.” It will be further understood that the end-points of each of the ranges are significant both in relation to the other end-point, and independently of the other end-point.


The term “component” refers to a material or compound present in a glass composition. Components include oxides, including but not limited to those expressed in Formulas (I), and (II), and the claims. Representative components include B2O3, P2O5, Al2O3, CuO, Cu2O, RO, R2O, SnO2, MnO2, REmOn, SiO2, Ta2O5, ZnO, WO3, Nb2O5, TiO2, ZrO2, Bi2O3, TeO2, etc. Other representative components include halogens (e.g. F, Br, Cl). Whenever a component is included as a term in a mathematical expression or formula, it is understood that the component refers to the amount of the component in units of mol. % in the composition of the glass. For example, the expression “B2O3+P2O5” refers to the sum of the amount of B2O3 in units of mol. % and the amount of P2O5 in units of mol. % in the composition of the glass. A mathematical expression or formula is any expression or formula that includes a mathematical operator such as “+”, “−”, “*”, “/” “min” or “max”.


The term “formed from” can mean one or more of comprises, consists essentially of, or consists of. For example, a component that is formed from a particular material can comprise the particular material, consist essentially of the particular material, or consist of the particular material.


The terms “free” and “substantially free” are used interchangeably herein to refer to an amount and/or an absence of a particular component in a glass composition that is not intentionally added to the glass composition. It is understood that the glass composition may contain traces of a particular constituent component as a contaminant or a tramp in an amount of less than 0.10 mol. %.


As used herein, the term “tramp”, when used to describe a particular constituent component in a glass composition, refers to a constituent component that is not intentionally added to the glass composition and is present in an amount of less than 0.10 mol. %. Tramp components may be unintentionally added to the glass composition as an impurity in another constituent component and/or through migration of the tramp component into the composition during processing of the glass composition.


Unless otherwise specified, the term “glass” is used to refer to a glass made from a glass composition disclosed herein.


The symbol “*” means multiplication when used in any formula herein.


The term “log” means logarithm in base 10.


Temperature is expressed herein in units of ° C. (degrees Celsius).


The term “room temperature” refers to a temperature in a range from 20° C. to 25° C.


Viscosity is expressed herein in units of P (Poise). The term “kP” means kiloPoise.


The term “glass former” is used herein to refer to a component that, being solely present in the glass composition (i.e., without other components, except for tramps), is able to form a glass when cooling the melt at a rate of not greater than about 300° C./min.


The term “modifier”, as used herein, refers to the oxides of monovalent or divalent metals, i.e., R2O or RO, where “R” stands for a cation. Modifiers can be added to a glass composition to change the atomic structure of the melt and the resulting glass. In some embodiments, the modifier may change the coordination numbers of cations present in the glass formers (e.g., boron in B2O3), which may result in forming a more polymerized atomic network and, as a result, may provide better glass formation.


As used herein, the term “RO” refers to a total content of divalent metal oxides (in mol. %), the term “R2O” refers to a total content of monovalent metal oxides (in mol. %), and the term “Alk2O” refers to a total content of alkali metal oxides (in mol. %). The term R2O encompasses alkali metal oxides (Alk2O), in addition to other monovalent metal oxides, such as Ag2O, Tl2O, and Hg2O, for example. As discussed below, in the present disclosure, a rare earth metal oxide is referred to herein by its normalized formula (RE2O3) in which the rare earth metal RE has the redox state “+3,” and thus rare earth metal oxides are not encompassed by the term RO.


As used herein, the term “rare earth metals” refers to the metals listed in the Lanthanide Series of the IUPAC Periodic Table, plus yttrium and scandium. As used herein, the term “rare earth metal oxides,” is used to refer to the oxides of rare earth metals in different redox states, such as “+3” for lanthanum in La2O3, “+4” for cerium in CeO2, “+2” for europium in EuO, etc. In general, the redox states of rare earth metals in oxide glasses may vary and, in particular, the redox state may change during melting, based on the composition and/or the redox conditions in the furnace where the glass is melted and/or heat-treated (e.g., annealed). Unless otherwise specified, a rare earth metal oxide component is referred to herein by its normalized formula in which the rare earth metal has the redox state “+3.” Accordingly, in the case in which a rare earth metal having a redox state other than “+3” is added to the glass composition batch, the batch composition is recalculated by adding or removing some oxygen to maintain the stoichiometry. For example, when CeO2 (with cerium in redox state “+4”) is used as a component, the resulting as-batched composition is recalculated assuming that two moles of CeO2 is equivalent to one mole of Ce2O3, and the resulting as-batched composition is expressed in terms of Ce2O3. As used herein, the term “REmOn” is used to refer to the total content (in mol. %) of rare earth metal oxides in all redox states present, and the term “RE2O3” is used to refer to the total content (in mol. %) of rare earth metal oxides in the “+3” redox state, also specified as “trivalent equivalent”.


Unless otherwise specified, the composition of all components in a glass are expressed in terms of mole percent (mol. %) in the glass. The composition of components in the glasses reported herein were determined by chemical analysis of the glass. The composition of B2O3 was determined using ICP (inductively coupled plasma). The composition of Li2O was determined using FES (fluorescence excitation spectroscopy). The composition of all other components was determined using XRF (x-ray fluorescence spectroscopy). For the avoidance of doubt, “composition” or “glass composition” as reported herein refers to the composition of the components in final glass articles and is distinguished from batch composition. As will be understood by those having ordinary skill in the art, the composition of final glass articles may differ from the batch composition used to form the final glass article due, for example, to the fact that various melt constituents (e.g., fluorine, alkali metals, boron, etc.) may be subject to different levels of volatilization (e.g., as a function of vapor pressure, melt time and/or melt temperature) during melting of the constituents in the process of forming the final glass article. Notwithstanding the foregoing, the difference between the composition of final glass articles and the batch composition is expected to be small.


In the case when fluorine or other halogen (chlorine, bromine, and/or iodine) is added to or is present in an oxide glass, the molecular representation of the resulting glass composition may be expressed in different ways. In the present disclosure, the content of fluorine as a single term, when present, is expressed in terms of atomic percent (at. %), which is determined based on the fraction of fluorine in a total sum of all atoms in a glass composition multiplied by a factor of 100.


In the present disclosure, the following method of representation of fluorine-containing compositions and concentration ranges is used. The concentration limits for all oxides (e.g. SiO2, B2O3, Na2O, etc.) are presented under the assumption that the respective cations (such as, for example, silicon [Si4+], boron [B3+], sodium [Na+], etc.) are initially presented in the form of the corresponding oxides. When fluorine is present, for the purposes of calculating the concentration of components of the composition, some part of the oxygen in the oxide is equivalently replaced with fluorine (i.e. one atom of oxygen is replaced with two atoms of fluorine). The fluorine is assumed to be present in the form of silicon fluoride (SiF4); accordingly, the total sum of all oxides plus SiF4 is assumed to be 100 mole percent or 100 weight percent in all compositions.


The density of the glasses at room temperature was determined using the buoyancy method of ASTM C693-93(2013). The estimated error of the density measurements was 0.001 g/cm3.


The term “liquidus temperature” (TLiq) is used herein to refer to a temperature above which the glass composition is completely liquid with no crystallization of constituent components of the glass. Unless otherwise specified, liquidus temperature was measured in accordance with ASTM C829-81 (2015), titled “Standard Practice for Measurement of Liquidus Temperature of Glass by the Gradient Furnace Method.”


As used herein, the term “liquidus viscosity” (ηliq) refers to the viscosity of a molten glass at the liquidus temperature. Unless specified otherwise, a liquidus viscosity value disclosed in this application is determined by the following method. First, the liquidus temperature of the glass is measured in accordance with ASTM C829-81 (2015), titled “Standard Practice for Measurement of Liquidus Temperature of Glass by the Gradient Furnace Method.” Next, the viscosity of the glass at the liquidus temperature is measured in accordance with ASTM C965-96 (2012), titled “Standard Practice for Measuring Viscosity of Glass Above the Softening Point”. The term “Vogel-Fulcher-Tammann (VFT) relation,” as used herein, describes the temperature dependence of the viscosity and is represented by the following equation:







log

(
η
)

=

A
+

B
/

(

T
-

T
0


)







where η is viscosity, and A, B and T0 are empirical parameters. To determine A, B, and T0, the viscosity of the glass composition is measured over a given temperature range. The raw data of viscosity versus temperature is then fit with the VFT equation by least-squares fitting to obtain A, B, and T0. With these values, a viscosity point (e.g., 200 P Temperature, 35000 P Temperature, and 200000 P Temperature) at any temperature above the softening point may be calculated.


The term “α,” or “α20-300,” as used herein, refers to the average coefficient of linear thermal expansion (CTE) of the glass composition over a temperature range from 20° C. to 300° C. CTE is expressed in units of 10−7/° C. and is measured by using a horizontal dilatometer (push-rod dilatometer) in accordance with ASTM E228-11. The numeric measure of α is a linear average value in a specified temperature range ΔT (e.g., 20° C. to 300° C.) expressed as α=ΔL/(L0ΔT), where L0 is the linear size of a sample at some temperature within or near the measured range, and L is the change in the linear size (ΔL) in the measured temperature range ΔT.


The terms “modulus” and “elastic modulus” refer to Young's modulus at room temperature. The Young's modulus E, shear modulus (G), and the Poisson's ratio (μ) are measured by Resonant Ultrasound Spectroscopy at room temperature, using a Quasar RUSpec 4000 available from ITW Indiana Private Limited, Magnaflux Division using the technique set forth in ASTM E2001-13, titled “Standard Guide for Resonant Ultrasound Spectroscopy for Defect Detection in Both Metallic and Non-metallic Parts.”.


The glass transition temperature (Tg) is measured by differential scanning calorimeter (DSC) by heating glass samples initially at room temperature at a rate of 10 K/min.


The term “softening point” (Tsoft) refers to the temperature at which the viscosity of the glass composition is 107.6 Poise. The softening point of the glass compositions was determined using the fiber elongation method of ASTM C336-71(2015) or a parallel plate viscosity (PPV) method which measures the viscosity of inorganic glass from 107 to 109 poise as a function of temperature, similar to ASTM C1351M.


The term “annealing point” (An.P.) refers to the temperature determined according to ASTM C598-93(2013), at which the viscosity of a glass is approximately 1013.2 Poise.


The terms “strain point” and “Tstrain” refer to the temperature determined according to ASTM C598-93, at which the viscosity of a glass at a given glass composition is approximately 1014.7 Poise.


In the mathematical formulas used in the present disclosure, the term “min(A, B)” means the lesser of the values A and B, and the term “max(A, B) means the greater of the quantities A and B, where “A” and “B” may be any quantities (concentrations of components, values of properties, etc.) The term “abs(X)” means absolute value of a quantity X.


The glass composition may include silica (SiO2). In embodiments of the glass compositions disclosed herein, SiO2 is the primary constituent of the glass network. Pure SiO2 has a relatively high specific modulus, a low CTE, and a high annealing point. However, pure SiO2 also has a high melting point. If the concentration of SiO2 in a glass composition is too high, the formability of the glass composition may be diminished as high concentrations of SiO2 increase the difficulty in melting the glass, which, in turn, adversely impacts the formability of the glass. Accordingly, the content of silica is limited. In embodiments, the glass composition may contain silica (SiO2) in an amount from greater than or equal to 54.0 mol. % to less than or equal to 84.0 mol. % and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may contain SiO2 in an amount greater than or equal to 54.0 mol. %, greater than or equal to 55.0 mol. %, greater than or equal to 60.0 mol. %, greater than or equal to 63.9 mol. %, greater than or equal to 64.5 mol. %, greater than or equal to 69.0 mol. %, greater than or equal to 70.0 mol. %, greater than or equal to 74.0 mol. %, or greater than or equal to 79.0 mol. %. In some other embodiments, the glass composition may contain SiO2 in an amount less than or equal to 84.0 mol. %, less than or equal to 80.0 mol. %, less than or equal to 79.0 mol. %, less than or equal to 75.0 mol. %, less than or equal to 74.4 mol. %, less than or equal to 74.0 mol. %, less than or equal to 70.0 mol. %, less than or equal to 69.0 mol. %, or less than or equal to 55.0 mol. %. In some more embodiments, the glass composition may contain SiO2 in an amount greater than or equal to 60.0 mol. % and less than or equal to 80.0 mol. %, greater than or equal to 60.0 mol. % and less than or equal to 75.0 mol. %, greater than or equal to 63.9 mol. % and less than or equal to 74.4 mol. %, greater than or equal to 64.5 mol. % and less than or equal to 74.5 mol. %, greater than or equal to 54.0 mol. % and less than or equal to 84.0 mol. %, greater than or equal to 54.0 mol. % and less than or equal to 55.0 mol. %, greater than or equal to 55.0 mol. % and less than or equal to 69.0 mol. %, greater than or equal to 60.0 mol. % and less than or equal to 69.0 mol. %, greater than or equal to 63.9 mol. % and less than or equal to 69.0 mol. %, greater than or equal to 64.5 mol. % and less than or equal to 69.0 mol. %, greater than or equal to 69.0 mol. % and less than or equal to 84.0 mol. %, greater than or equal to 69.0 mol. % and less than or equal to 70.0 mol. %.


The glass composition may include boron oxide (B2O3). Like SiO2, Al2O3, and P2O5, B2O3 may be added to the glass composition as a network former. However, it has been found that additions of boron significantly reduce diffusivity of alkali ions in the glass, which, in turn, adversely impacts the ion exchange performance of the resultant glass. The addition of B2O3 in some amounts may help to decrease the viscosity of a glass-forming melt, therefore decreasing the temperature required for melting and forming. However, if too much B2O3 is added, volatility may occur at the surface of a glass melt, resulting in compositional inhomogeneity or localized reductions in the viscosity at the liquidus temperature for areas of the glass melt. Further, the addition of too much B2O3 may adversely affect the annealing point of the glass composition. Accordingly, the content of boron oxide is preferably limited, or glass compositions may be substantially free of B2O3. In embodiments, the glass composition may contain boron oxide (B2O3) in an amount from greater than or equal to 0.0 mol. % to less than or equal to 10.0 mol. % and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may contain B2O3 in an amount greater than or equal to 0.0 mol. %, greater than or equal to 5.0 mol. %, greater than or equal to 7.0 mol. %, greater than or equal to 8.0 mol. %, or greater than or equal to 9.0 mol. %. In some other embodiments, the glass composition may contain B2O3 in an amount less than or equal to 10.0 mol. %, less than or equal to 9.0 mol. %, less than or equal to 8.0 mol. %, less than or equal to 7.0 mol. %, less than or equal to 5.0 mol. %, less than or equal to 3.8 mol. %, less than or equal to 3.0 mol. %, less than or equal to 0.8 mol. %, or less than or equal to 0.7 mol. %. In some more embodiments, the glass composition may contain B2O3 in an amount greater than or equal to 0.0 mol. % and less than or equal to 3.8 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 0.8 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 0.7 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. %, greater than or equal to 5.0 mol. % and less than or equal to 7.0 mol. %, greater than or equal to 7.0 mol. % and less than or equal to 10.0 mol. %, greater than or equal to 8.0 mol. % and less than or equal to 10.0 mol. %, greater than or equal to 8.0 mol. % and less than or equal to 9.0 mol. %.


The glass composition may include phosphorus oxide (P2O5). Like SiO2 and Al2O3, P2O5 may be added to the glass composition as a network former, thereby reducing the meltability and formability of the glass composition. In some amounts, P2O5 can be added to the glass composition to increase the viscosity at the liquidus temperature, therefore limiting the propensity to crystallize during the cooling of the glass-forming melt. The addition of P2O5 may also increase the diffusivity of ions in the glass composition during ion-exchange treatments, thereby increasing the efficiency of such treatments. However, if too much P2O5 is added, the annealing point of the glass may be reduced, the CTE may be increased, or phase separation may be induced upon cooling of the glass-forming melt. Accordingly, the content of phosphorus oxide is preferably limited, or glass compositions may be substantially free of P2O5. In embodiments, the glass composition may contain phosphorus oxide (P2O5) in an amount from greater than or equal to 0.0 mol. % to less than or equal to 10.0 mol. % and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may contain P2O5 in an amount greater than or equal to 0.0 mol. %, greater than or equal to 1.1 mol. %, greater than or equal to 2.5 mol. %, greater than or equal to 5.0 mol. %, greater than or equal to 7.0 mol. %, greater than or equal to 8.0 mol. %, or greater than or equal to 9.0 mol. %. In some other embodiments, the glass composition may contain P2O5 in an amount less than or equal to 10.0 mol. %, less than or equal to 9.0 mol. %, less than or equal to 8.0 mol. %, less than or equal to 7.0 mol. %, less than or equal to 5.0 mol. %, less than or equal to 4.0 mol. %, less than or equal to 3.4 mol. %, or less than or equal to 3.0 mol. %. In some more embodiments, the glass composition may contain P2O5 in an amount greater than or equal to 0.0 mol. % and less than or equal to 4.0 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 3.4 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. %, greater than or equal to 1.1 mol. % and less than or equal to 2.99 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. %, greater than or equal to 1.1 mol. % and less than or equal to 3.0 mol. %, greater than or equal to 5.0 mol. % and less than or equal to 7.0 mol. %.


The glass composition may have limitations for the amount of rare earth metal oxides. Rare earth metal oxides, especially yttrium oxide (Y2O3), can be added to the glass composition to increase the specific modulus, annealing and strain points, at the same time decreasing the high-temperature viscosity and, thus, allowing for melting of the glass at a lower temperature more compatible with the conventional refractories. However, when the content of REmOn is high, it may adversely increase the liquidus temperature because of crystallization of refractory minerals, such as rare earth metal aluminates (RE3Al5O12), silicates (RE2SiO5, RE2Si2O7) and others, which may, in turn, decrease the liquidus viscosity. Accordingly, the content of rare earth metal oxides is preferably limited, or glass compositions may be substantially free of REmOn.


In some other embodiments, the glass composition may contain rare earth metal oxides REmOn in an amount less than or equal to 5.0 mol. %, less than or equal to 3.0 mol. %, or less than or equal to 2.5 mol. %. In some more embodiments, the glass composition may contain REmOn in an amount greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. %, or greater than or equal to 0.0 mol. % and less than or equal to 2.5 mol. %.


The glass composition may include lanthanum oxide (La2O3). Lanthanum oxide can be added to the glass compositions to increase the annealing and strain points, while at the same time decreasing the melting temperature. However, adding lanthanum oxide may decrease the liquidus viscosity and specific modulus of the glass. Accordingly, the content of lanthanum oxide is preferably limited, or glass compositions may be substantially free of La2O3. In embodiments, the glass composition may contain lanthanum oxide (La2O3) in an amount from greater than or equal to 0.0 mol. % to less than or equal to 5.0 mol. % and all ranges and sub-ranges between the foregoing values. In some other embodiments, the glass composition may contain La2O3 in an amount less than or equal to 5.0 mol. %, less than or equal to 2.5 mol. %, or less than or equal to 0.7 mol. %. In some more embodiments, the glass composition may contain La2O3 in an amount greater than or equal to 0.0 mol. % and less than or equal to 0.7 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. %.


Glass composition may include alkali metal oxides (Alk2O). Alkali metal oxides can be added to the glass compositions to decrease the liquidus temperature and high-temperature viscosity, maintaining high liquidus viscosity. Also, adding Alk2O can increase the solubility of high-modulus species, such as, for example, TiO2, ZrO2, Y2O3 and others, thus indirectly increasing the specific modulus. Also, in presence of boron oxide (B2O3), alkali metal oxides may transform the boron atoms from trigonal to tetrahedral form, which may also indirectly increase the specific modulus of glass.


In embodiments, the glass composition may contain alkali metal oxides (Alk2O) in an amount from greater than or equal to 0.0 mol. % to less than or equal to 12.0 mol. % and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may contain alkali metal oxides Alk2O in an amount greater than or equal to 0.0 mol. %, greater than or equal to 0.5 mol. %, or greater than or equal to 2.5 mol. %. In some other embodiments, the glass composition may contain Alk2O in an amount less than or equal to 12.0 mol. %, less than or equal to 10.0 mol. %, less than or equal to 9.0 mol. %, less than or equal to 8.0 mol. %, less than or equal to 6.0 mol. %. In some more embodiments, the glass composition may contain Alk2O in an amount greater than or equal to 0.0 mol. % and less than or equal to 12.0 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 8.0 mol. %, greater than or equal to 1.0 mol. % and less than or equal to 8.0 mol. %, greater than or equal to 2.0 mol. % and less than or equal to 7.0 mol. %.


The glass composition may include lithium oxide (Li2O). Li2O lowers the viscosity of a glass, which enhances the melting behavior, formability, and the Young's modulus, and may enable ion exchangeability. However, when too much Li2O is added, the CTE of the glass increases and the strain point decreases. Further, if the amount of Li2O is too high, Li2O may cause crystallization of undesired species such as spodumene (LiAl(SiO3)2) which may reduce the viscosity at the liquidus temperature and, therefore, increase the critical cooling rate, which may cause crystallization of the glass-forming melt when cooling. Accordingly, the content of lithium oxide is preferably limited, or glass compositions may be substantially free of Li2O. In embodiments, the glass composition may contain lithium oxide (Li2O) in an amount from greater than or equal to 0.0 mol. % to less than or equal to 10.0 mol. % and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may contain Li2O in an amount greater than or equal to 0.0 mol. %, greater than or equal to 0.3 mol. %, greater than or equal to 0.5 mol. %, greater than or equal to 2.8 mol. %, greater than or equal to 3.0 mol. %, greater than or equal to 3.2 mol. %, greater than or equal to 5.0 mol. %, greater than or equal to 7.0 mol. %, greater than or equal to 8.0 mol. %, or greater than or equal to 9.0 mol. %. In some other embodiments, the glass composition may contain Li2O in an amount less than or equal to 10.0 mol. %, less than or equal to 9.0 mol. %, less than or equal to 8.0 mol. %, less than or equal to 7.8 mol. %, less than or equal to 7.5 mol. %, less than or equal to 7.4 mol. %, less than or equal to 7.0 mol. %, less than or equal to 6.2 mol. %, less than or equal to 6.0 mol. %, or less than or equal to 5.0 mol. %. In some more embodiments, the glass composition may contain Li2O in an amount greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 7.8 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 7.4 mol. %, greater than or equal to 0.3 mol. % and less than or equal to 7.5 mol. %, greater than or equal to 0.5 mol. % and less than or equal to 7.5 mol. %, greater than or equal to 2.8 mol. % and less than or equal to 7.0 mol. %, greater than or equal to 3.0 mol. % and less than or equal to 6.32 mol. %, greater than or equal to 3.2 mol. % and less than or equal to 6.2 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. %, greater than or equal to 0.3 mol. % and less than or equal to 5.0 mol. %, greater than or equal to 0.5 mol. % and less than or equal to 5.0 mol. %, greater than or equal to 3.0 mol. % and less than or equal to 10.0 mol. %, greater than or equal to 3.0 mol. % and less than or equal to 5.0 mol. %, greater than or equal to 3.2 mol. % and less than or equal to 5.0 mol. %, greater than or equal to 5.0 mol. % and less than or equal to 6.0 mol. %.


The glass composition may include sodium oxide (Na2O). Na2O lowers the viscosity of a glass, which enhances the melting behavior, formability, and may enable ion exchangeability. However, when too much Na2O is added, the CTE of the glass composition increases, the Young's modulus decreases, and the strain point decreases. Accordingly, the content of sodium oxide is preferably limited, or glass compositions may be substantially free of Na2O. In embodiments, the glass composition may contain sodium oxide (Na2O) in an amount from greater than or equal to 0.0 mol. % to less than or equal to 10.0 mol. % and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may contain Na2O in an amount greater than or equal to 0.0 mol. %, greater than or equal to 0.4 mol. %, greater than or equal to 0.9 mol. %, greater than or equal to 1.0 mol. %, greater than or equal to 5.0 mol. %, greater than or equal to 7.0 mol. %, greater than or equal to 8.0 mol. %, or greater than or equal to 9.0 mol. %. In some other embodiments, the glass composition may contain Na2O in an amount less than or equal to 10.0 mol. %, less than or equal to 9.0 mol. %, less than or equal to 8.0 mol. %, less than or equal to 7.0 mol. %, less than or equal to 5.0 mol. %, less than or equal to 4.8 mol. %, less than or equal to 4.4 mol. %, or less than or equal to 4.0 mol. %. In some more embodiments, the glass composition may contain Na2O in an amount greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 4.8 mol. %, greater than or equal to 0.4 mol. % and less than or equal to 4.4 mol. %, greater than or equal to 0.9 mol. % and less than or equal to 4.0 mol. %, greater than or equal to 1.0 mol. % and less than or equal to 3.98 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 4.0 mol. %, greater than or equal to 0.4 mol. % and less than or equal to 4.0 mol. %, greater than or equal to 0.9 mol. % and less than or equal to 10.0 mol. %, greater than or equal to 1.0 mol. % and less than or equal to 4.0 mol. %, greater than or equal to 5.0 mol. % and less than or equal to 10.0 mol. %, greater than or equal to 5.0 mol. % and less than or equal to 7.0 mol. %.


The glass composition may include zinc oxide (ZnO). Zinc oxide can be added to the glass composition to increase the specific modulus, similar to MgO. However, when the content of ZnO is high, it may cause crystallization of refractory minerals, such as, for example, gahnite (ZnAl2O4), or liquid-liquid phase separation of the glass forming melt. Accordingly, the content of zinc oxide is preferably limited, or glass compositions may be substantially free of ZnO. In embodiments, the glass composition may contain zinc oxide (ZnO) in an amount from greater than or equal to 0.0 mol. % to less than or equal to 5.0 mol. % and all ranges and sub-ranges between the foregoing values. In some other embodiments, the glass composition may contain ZnO in an amount less than or equal to 5.0 mol. %, less than or equal to 3.0 mol. %, less than or equal to 2.5 mol. %, or less than or equal to 2.0 mol. %. In some more embodiments, the glass composition may contain ZnO in an amount greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 2.0 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. %.


The glass composition may include zirconia (ZrO2). Zirconia can be added to the glass compositions to increase the specific modulus. However, addition of even small amounts of zirconia to alumina-rich compositions may cause crystallization of refractory minerals, such as zircon (ZrSiO4) or zirconia (ZrO2), which may increase the liquidus temperature and decrease the liquidus viscosity. Accordingly, the content of zirconia is preferably limited, or glass compositions may be substantially free of ZrO2. In embodiments, the glass composition may contain zirconia (ZrO2) in an amount from greater than or equal to 0.0 mol. % to less than or equal to 5.0 mol. % and all ranges and sub-ranges between the foregoing values. In some other embodiments, the glass composition may contain ZrO2 in an amount less than or equal to 5.0 mol. %, less than or equal to 2.5 mol. %, less than or equal to 1.5 mol. %, or less than or equal to 0.5 mol. %. In some more embodiments, the glass composition may contain ZrO2 in an amount greater than or equal to 0.0 mol. % and less than or equal to 0.5 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. %.


The glass composition may include barium oxide (BaO). The addition of BaO increases the viscosity at the liquidus temperature, therefore limiting the propensity to crystallize during the cooling of the glass-forming melt. However, when too much BaO is added, the density and the CTE of the glass increases. Accordingly, the content of barium oxide is preferably limited, or glass compositions may be substantially free of BaO. In embodiments, the glass composition may contain barium oxide (BaO) in an amount from greater than or equal to 0.0 mol. % to less than or equal to 10.0 mol. % and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may contain BaO in an amount greater than or equal to 0.0 mol. %, or greater than or equal to 5.0 mol. %. In some other embodiments, the glass composition may contain BaO in an amount less than or equal to 10.0 mol. %, less than or equal to 5.0 mol. %, less than or equal to 3.0 mol. %, less than or equal to 1.0 mol. %, less than or equal to 0.7 mol. %, or less than or equal to 0.625 mol. %. In some more embodiments, the glass composition may contain BaO in an amount greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 1.0 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 0.7 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 0.625 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. %.


The glass composition may include strontium oxide (SrO). SrO lowers the viscosity of a glass, which enhances the melting behavior, formability, and the strain point of the glass composition. In some embodiments, the addition of SrO increases the viscosity at the liquidus temperature, therefore limiting the propensity to crystallize during the cooling of the glass-forming melt. However, when too much SrO is added, the density and the CTE of the glass increase. Accordingly, the content of strontium oxide is preferably limited, or glass compositions may be substantially free of SrO. In embodiments, the glass composition may contain strontium oxide (SrO) in an amount from greater than or equal to 0.0 mol. % to less than or equal to 10.0 mol. % and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may contain SrO in an amount greater than or equal to 0.0 mol. %, greater than or equal to 0.49 mol. %, greater than or equal to 5.0 mol. %, greater than or equal to 7.0 mol. %, greater than or equal to 8.0 mol. %, or greater than or equal to 9.0 mol. %. In some other embodiments, the glass composition may contain SrO in an amount less than or equal to 10.0 mol. %, less than or equal to 9.0 mol. %, less than or equal to 8.0 mol. %, less than or equal to 7.0 mol. %, less than or equal to 5.0 mol. %, less than or equal to 1.5 mol. %, less than or equal to 1.19 mol. %, less than or equal to 1.1 mol. %, or less than or equal to 0.95 mol. %. In some more embodiments, the glass composition may contain SrO in an amount greater than or equal to 0.0 mol. % and less than or equal to 1.5 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 1.1 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 0.95 mol. %, greater than or equal to 0.49 mol. % and less than or equal to 1.19 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. %, greater than or equal to 0.49 mol. % and less than or equal to 0.95 mol. %, greater than or equal to 5.0 mol. % and less than or equal to 7.0 mol. %, greater than or equal to 8.0 mol. % and less than or equal to 9.0 mol. %.


The glass composition may include magnesia (MgO). MgO lowers the viscosity of a glass, which enhances the melting behavior, formability, the strain point, and the Young's modulus, and may improve ion exchangeability. However, when too much MgO is added, the density and the CTE of the glass increases. Further, if the amount of MgO is too high, MgO may cause crystallization of refractory species such as cordierite (Mg2Al4Si5O18) which may reduce the viscosity at the liquidus temperature and, therefore, increase the critical cooling rate, which may cause crystallization of the glass-forming melt when cooling. Accordingly, the content of magnesia is preferably limited, or glass compositions may be substantially free of MgO. In embodiments, the glass composition may contain magnesia (MgO) in an amount from greater than or equal to 0.0 mol. % to less than or equal to 10.0 mol. % and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may contain MgO in an amount greater than or equal to 0.0 mol. %, greater than or equal to 0.4 mol. %, greater than or equal to 1.0 mol. %, greater than or equal to 2.0 mol. %, greater than or equal to 5.0 mol. %, greater than or equal to 7.0 mol. %, greater than or equal to 8.0 mol. %, or greater than or equal to 9.0 mol. %. In some other embodiments, the glass composition may contain MgO in an amount less than or equal to 10.0 mol. %, less than or equal to 9.0 mol. %, less than or equal to 8.0 mol. %, less than or equal to 7.0 mol. %, less than or equal to 6.0 mol. %, less than or equal to 5.0 mol. %, less than or equal to 4.4 mol. %, less than or equal to 4.3 mol. %, or less than or equal to 4.0 mol. %. In some more embodiments, the glass composition may contain MgO in an amount greater than or equal to 0.0 mol. % and less than or equal to 6.0 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 4.3 mol. %, greater than or equal to 0.4 mol. % and less than or equal to 4.4 mol. %, greater than or equal to 1.0 mol. % and less than or equal to 4.0 mol. %, greater than or equal to 1.99 mol. % and less than or equal to 4.31 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 4.0 mol. %, greater than or equal to 0.4 mol. % and less than or equal to 4.0 mol. %, greater than or equal to 5.0 mol. % and less than or equal to 6.0 mol. %.


The glass composition may include calcium oxide (CaO). CaO lowers the viscosity of a glass, which enhances the melting behavior, formability, the strain point, and the Young's modulus, and may improve ion exchangeability. However, when too much CaO is added, the density and the CTE of the glass increases. Further, if the amount of CaO is too high, CaO may cause crystallization of undesired species such as anorthite (CaAl2Si2O8) which may reduce the viscosity at the liquidus temperature and, therefore, increase the critical cooling rate, which may cause crystallization of the glass-forming melt when cooling. Accordingly, the content of calcium oxide is preferably limited, or glass compositions may be substantially free of CaO. In embodiments, the glass composition may contain calcium oxide (CaO) in an amount from greater than or equal to 0.0 mol. % to less than or equal to 10.0 mol. % and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may contain CaO in an amount greater than or equal to 0.0 mol. %, greater than or equal to 0.3 mol. %, greater than or equal to 1.0 mol. %, greater than or equal to 1.4 mol. %, greater than or equal to 1.9 mol. %, greater than or equal to 3.0 mol. %, greater than or equal to 5.0 mol. %, greater than or equal to 7.0 mol. %, greater than or equal to 8.0 mol. %, or greater than or equal to 9.0 mol. %. In some other embodiments, the glass composition may contain CaO in an amount less than or equal to 10.0 mol. %, less than or equal to 9.0 mol. %, less than or equal to 8.0 mol. %, less than or equal to 7.5 mol. %, less than or equal to 7.0 mol. %, less than or equal to 6.0 mol. %, less than or equal to 5.6 mol. %, or less than or equal to 5.0 mol. %. In some more embodiments, the glass composition may contain CaO in an amount greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. %, greater than or equal to 0.3 mol. % and less than or equal to 7.5 mol. %, greater than or equal to 1.0 mol. % and less than or equal to 6.0 mol. %, greater than or equal to 1.4 mol. % and less than or equal to 5.6 mol. %, greater than or equal to 1.9 mol. % and less than or equal to 5.0 mol. %, greater than or equal to 2.5 mol. % and less than or equal to 5.17 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. %, greater than or equal to 0.3 mol. % and less than or equal to 5.0 mol. %, greater than or equal to 1.0 mol. % and less than or equal to 5.0 mol. %, greater than or equal to 1.4 mol. % and less than or equal to 5.0 mol. %, greater than or equal to 1.9 mol. % and less than or equal to 10.0 mol. %, greater than or equal to 5.0 mol. % and less than or equal to 5.6 mol. %.


The glass composition may include alumina (Al2O3). Al2O3 may serve as a glass network former, similar to SiO2. Al2O3 may increase the viscosity of the glass composition due to its tetrahedral coordination in a glass melt formed from a glass composition, decreasing the formability of the glass compositions when the amount of Al2O3 is too high. In some embodiments when the concentration of Al2O3 is balanced against the concentration of SiO2 and the concentration of alkali oxides in the glass composition, Al2O3 can reduce the liquidus temperature of the glass melt, thereby reducing the glass liquidus viscosity and improving the compatibility with certain forming process. However if the amount of Al2O3 is too high, particularly in excess of the total modifier content (alkali oxides and alkaline earth oxides), Al2O3 may cause crystallization of refractory species such as corundum (Al2O3) or aluminosilicates like mullite (3Al2O3·2SiO2) which may reduce the viscosity at the liquidus temperature and, therefore, increase the critical cooling rate, which may cause crystallization of the glass-forming melt when cooling. Accordingly, the content of alumina is preferably limited. In embodiments, the glass composition may contain alumina (Al2O3) in an amount from greater than or equal to 10.0 mol. % to less than or equal to 19.0 mol. % and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may contain Al2O3 in an amount greater than or equal to 10.0 mol. %, greater than or equal to 10.5 mol. %, greater than or equal to 11.0 mol. %, greater than or equal to 12.0 mol. %, greater than or equal to 12.34 mol. %, greater than or equal to 15.0 mol. %, greater than or equal to 16.0 mol. %, greater than or equal to 17.0 mol. %, or greater than or equal to 18.0 mol. %. In some other embodiments, the glass composition may contain Al2O3 in an amount less than or equal to 19.0 mol. %, less than or equal to 19.0 mol. %, less than or equal to 18.0 mol. %, less than or equal to 17.0 mol. %, less than or equal to 16.0 mol. %, less than or equal to 15.0 mol. %, or less than or equal to 11.0 mol. %. In some more embodiments, the glass composition may contain Al2O3 in an amount greater than or equal to 10.0 mol. % and less than or equal to 20.0 mol. %, greater than or equal to 10.0 mol. % and less than or equal to 18.0 mol. %, greater than or equal to 10.0 mol. % and less than or equal to 17.0 mol. %, greater than or equal to 10.5 mol. % and less than or equal to 18.0 mol. %, greater than or equal to 11.0 mol. % and less than or equal to 18.0 mol. %, greater than or equal to 12.0 mol. % and less than or equal to 18.0 mol. %, greater than or equal to 12.34 mol. % and less than or equal to 18.0 mol. %, greater than or equal to 10.0 mol. % and less than or equal to 11.0 mol. %, greater than or equal to 10.5 mol. % and less than or equal to 20.0 mol. %, greater than or equal to 10.5 mol. % and less than or equal to 11.0 mol. %, greater than or equal to 11.0 mol. % and less than or equal to 20.0 mol. %, greater than or equal to 11.0 mol. % and less than or equal to 15.0 mol. %, greater than or equal to 12.0 mol. % and less than or equal to 20.0 mol. %, greater than or equal to 12.0 mol. % and less than or equal to 15.0 mol. %.


Glass composition may include fluorine (F). Fluorine can be added in a small amount to the glass compositions of the present disclosure as a fining agent. However, fluorine may cause environmental concern. Accordingly, the content of fluorine is preferably limited, or glass compositions may be substantially free of fluorine. In embodiments, the glass composition may contain fluorine (F) in an amount from greater than or equal to 0.0 at. % to less than or equal to 3.0 at. % and all ranges and sub-ranges between the foregoing values. In some other embodiments, the glass composition may contain F in an amount less than or equal to 3.0 at. %, less than or equal to 2.0 at. %, less than or equal to 1.0 at. %, less than or equal to 0.5 at. %, or less than or equal to 0.05 at. %.


In some more embodiments, the glass composition may contain F in an amount greater than or equal to 0.0 at. % and less than or equal to 3.0 at. %, greater than or equal to 0.0 at. % and less than or equal to 0.5 at. %, greater than or equal to 0.0 at. % and less than or equal to 0.05 at. %.


In some embodiments, the glass composition may have a sum of CaO+MgO greater than or equal to 0.0 mol. %, or greater than or equal to 5.0 mol. %. In some other embodiments, the glass composition may have a sum of CaO+MgO less than or equal to 9.0 mol. % or less than or equal to 5.0 mol. %. In some more embodiments, the glass composition may have a sum of CaO+MgO greater than or equal to 0.0 mol. % and less than or equal to 9.0 mol. %, or greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. %.


In some embodiments, the glass composition may have a sum of CaO+SrO greater than or equal to 0.0 mol. %, greater than or equal to 2.0 mol. %, or greater than or equal to 5.0 mol. %. In some other embodiments, the glass composition may have a sum of CaO+SrO less than or equal to 9.0 mol. % or less than or equal to 5.0 mol. %. In some more embodiments, the glass composition may have a sum of CaO+SrO greater than or equal to 0.0 mol. % and less than or equal to 9.0 mol. %, or greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. %, greater than or equal to 2.0 mol. % and less than or equal to 9.0 mol. %, or greater than or equal to 2.0 mol. % and less than or equal to 5.0 mol. %.


In some embodiments, the glass composition may have a sum of Li2O+MgO greater than or equal to 0.0 mol. %, or greater than or equal to 5.0 mol. %. In some other embodiments, the glass composition may have a sum of Li2O+MgO less than or equal to 10.0 mol. %, less than or equal to 8.0 mol. %, or less than or equal to 5.0 mol. %. In some more embodiments, the glass composition may have a sum of Li2O+MgO greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 8.0 mol. %, or greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. %, greater than or equal to 5.0 mol. % and less than or equal to 10.0 mol. %, or greater than or equal to 5.0 mol. % and less than or equal to 8.0 mol. %.


In some embodiments, the glass composition may have a sum of Li2O+Na2O greater than or equal to 0.0 mol. %, greater than or equal to 0.5 mol. %, greater than or equal to 4.0 mol. %, or greater than or equal to 5.0 mol. %. In some other embodiments, the glass composition may have a sum of Li2O+Na2O less than or equal to 9.0 mol. % or less than or equal to 5.0 mol. %. In some more embodiments, the glass composition may have a sum of Li2O+Na2O greater than or equal to 0.0 mol. % and less than or equal to 9.0 mol. %, or greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. %, greater than or equal to 0.5 mol. % and less than or equal to 9.0 mol. %, or greater than or equal to 0.5 mol. % and less than or equal to 5.0 mol. %, greater than or equal to 4.0 mol. % and less than or equal to 9.0 mol. %.


In some embodiments, the glass composition may have a sum of MgO+CaO+SrO+BaO+ZnO greater than or equal to 0.0 mol. %, greater than or equal to 0.5 mol. %, or greater than or equal to 1.0 mol. %.


In some embodiments, the glass composition may have a sum of MgO+ZnO greater than or equal to 0.0 mol. %, greater than or equal to 1.0 mol. %, or greater than or equal to 5.0 mol. %. In some other embodiments, the glass composition may have a sum of MgO+ZnO less than or equal to 10.0 mol. %, less than or equal to 5.0 mol. %, or less than or equal to 4.0 mol. %. In some more embodiments, the glass composition may have a sum of MgO+ZnO greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. %, or greater than or equal to 0.0 mol. % and less than or equal to 4.0 mol. %, greater than or equal to 1.0 mol. % and less than or equal to 10.0 mol. %, greater than or equal to 1.0 mol. % and less than or equal to 5.0 mol. %, or greater than or equal to 1.0 mol. % and less than or equal to 4.0 mol. %.


In some other embodiments, the glass composition may have a sum of ZrO2+TiO2+FeO+Fe2O3 less than or equal to 1.5 mol. %, less than or equal to 1.0 mol. %, or less than or equal to 0.021 mol. %. In some more embodiments, the glass composition may have a sum of ZrO2+TiO2+FeO+Fe2O3 greater than or equal to 0.0 mol. % and less than or equal to 1.5 mol. %, greater than or equal to 0.0 mol. % and less than or equal to 1.0 mol. %, or greater than or equal to 0.0 mol. % and less than or equal to 0.021 mol. %.


In some embodiments, the glass composition may have limitations for min(REmOn,P2O5). It was empirically found that in alumina-rich glasses, especially when the content of alumina exceeds the total content of alkali metal oxides, adding even small amounts of rare earth metal oxides (REmOn), especially yttrium oxide (Y2O3), together with P2O5 may cause crystallization of rare earth metal phosphates, such as yttrium phosphate (YPO4), at high temperatures, which may raise the liquidus temperature and decrease the liquidus viscosity of glass. Accordingly, in some embodiments, it is preferable that the glass composition either contains only one of P2O5 or REmOn, or is substantially free of both P2O5 and REmOn. In some embodiments, the glass may have a value of min(REmOn,P2O5) greater than or equal to 0.00 mol. %, greater than or equal to 0.10 mol. %, or greater than or equal to 0.20 mol. %. In some other embodiments, the glass may have a value of min(REmOn,P2O5) less than or equal to 0.30 mol. %, less than or equal to 0.20 mol. %, less than or equal to 0.15 mol. %, or less than or equal to 0.10 mol. %. In some more embodiments, the glass may have a min(REmOn,P2O5) greater than or equal to 0.00 mol. % and less than or equal to 0.30 mol. %, greater than or equal to 0.00 mol. % and less than or equal to 0.20 mol. %, greater than or equal to 0.00 mol. % and less than or equal to 0.15 mol. %, or greater than or equal to 0.00 mol. % and less than or equal to 0.10 mol. %, greater than or equal to 0.10 mol. % and less than or equal to 0.30 mol. %, greater than or equal to 0.10 mol. % and less than or equal to 0.20 mol. %, or greater than or equal to 0.10 mol. % and less than or equal to 0.15 mol. %.


In some embodiments, the glass may have the specific modulus E/dRT from greater than or equal to 32.0 GPa·cm3/g to less than or equal to 35.1 GPa·cm3/g and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass may have the E/dRT greater than or equal to 32.0 GPa·cm3/g, greater than or equal to 32.5 GPa·cm3/g, greater than or equal to 33.0 GPa·cm3/g, greater than or equal to 33.9 GPa·cm3/g, greater than or equal to 34.0 GPa·cm3/g, greater than or equal to 34.5 GPa·cm3/g, greater than or equal to 34.7 GPa·cm3/g, greater than or equal to 34.9 GPa·cm3/g, or greater than or equal to 35.0 GPa·cm3/g. In some other embodiments, the glass may have the E/dRT less than or equal to 35.1 GPa·cm3/g, less than or equal to 35.0 GPa·cm3/g, less than or equal to 34.9 GPa·cm3/g, less than or equal to 34.7 GPa·cm3/g, less than or equal to 34.5 GPa·cm3/g, less than or equal to 34.0 GPa·cm3/g, less than or equal to 33.0 GPa·cm3/g, or less than or equal to 32.5 GPa·cm3/g. In some more embodiments, the glass may have the E/dRT greater than or equal to 32.0 GPa·cm3/g and less than or equal to 35.1 GPa·cm3/g, greater than or equal to 32.5 GPa·cm3/g and less than or equal to 35.1 GPa·cm3/g, greater than or equal to 33.0 GPa·cm3/g and less than or equal to 34.0 GPa·cm3/g.


In some embodiments, the glass may have an annealing point (An.P.) from greater than or equal to 650° C. to less than or equal to 800° C. and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass may have an An.P. greater than or equal to 650° C., greater than or equal to 680° C., greater than or equal to 700° C., greater than or equal to 703° C., greater than or equal to 730° C., greater than or equal to 740° C., greater than or equal to 750° C., greater than or equal to 760° C., or greater than or equal to 780° C. In some other embodiments, the glass may have an An.P. less than or equal to 800° C., less than or equal to 780° C., less than or equal to 760° C., less than or equal to 750° C., less than or equal to 740° C., less than or equal to 729° C., or less than or equal to 700° C. In some more embodiments, the glass may have an An.P. greater than or equal to 650° C. and less than or equal to 800° C., greater than or equal to 650° C. and less than or equal to 700° C., greater than or equal to 700° C. and less than or equal to 729° C., greater than or equal to 703° C. and less than or equal to 729° C., greater than or equal to 740° C. and less than or equal to 800° C.


In some embodiments, the glass may have a temperature corresponding to a viscosity of 160,000 Poise (T160 kP) from greater than or equal to 1093° C. to less than or equal to 1300° C. and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass may have the T160 kP greater than or equal to 1093° C., greater than or equal to 1100° C., greater than or equal to 1150° C., greater than or equal to 1240° C., greater than or equal to 1250° C., greater than or equal to 1260° C., or greater than or equal to 1280° C. In some other embodiments, the glass may have the T160 kP less than or equal to 1300° C., less than or equal to 1280° C., less than or equal to 1260° C., less than or equal to 1250° C., less than or equal to 1240° C., less than or equal to 1209° C., less than or equal to 1150° C., or less than or equal to 1100° C. In some more embodiments, the glass may have the T160 kP greater than or equal to 1093° C. and less than or equal to 1300° C., greater than or equal to 1150° C. and less than or equal to 1209° C., greater than or equal to 1250° C. and less than or equal to 1300° C.


In some embodiments, the glass may have a logarithm of liquidus viscosity (log(ηliq)), where liquidus viscosity ηliq is expressed in units of Poise, greater than or equal to 5, or greater than or equal to 5.2.


In some embodiments, the glass may have an average linear thermal expansion coefficient of glass in the range 20-300° C. α20-300×107 less than or equal to 40 K−1.


In some embodiments, the glass may have a temperature corresponding to a viscosity of 200 Poise (T200 P) less than or equal to 1750° C. In some other embodiments, the glass may have a T200 P less than or equal to 1700° C. or less than or equal to 1650° C. and less than or equal to 1600° C.


In some embodiments, the glass may have an aluminum-binding parameter PAl greater than or equal to −2.8.


In some embodiments, the glass may have a modifier-binding parameter Pmod greater than or equal to −3, greater than or equal to −0.2, greater than or equal to 0.8, greater than or equal to 1.8, or greater than or equal to 2. In some other embodiments, the glass may have a modifier-binding parameter Pmod less than or equal to 2.8 or less than or equal to 2. In some more embodiments, the glass may have a Pmod greater than or equal to −3 and less than or equal to 2.8, or greater than or equal to −3 and less than or equal to 2, greater than or equal to −0.2 and less than or equal to 2.8, or greater than or equal to −0.2 and less than or equal to 2, greater than or equal to 0.8 and less than or equal to 2.8, or greater than or equal to 0.8 and less than or equal to 2, greater than or equal to 1.8 and less than or equal to 2.8.


In some other embodiments, the glass may have an anorthite precipitation parameter Panort less than or equal to 10.


In some other embodiments, the glass may have a cristobalite precipitation parameter Pcrist less than or equal to 28.


In some other embodiments, the glass may have a cordierite precipitation parameter Pcord less than or equal to 5.


In some other embodiments, the glass may have a spodumene precipitation parameter Pspod less than or equal to 7.5.


In some embodiments, the glass may have a quantity E/dRT−(92.5−0.05*T160 kP) greater than or equal to 0.000.


Anorthite precipitation parameter Panort is a quantity calculated by the following formula (I):











P
anort

=

min

(


CaO
+
SrO
+

0.5
*
BaO

+


Na
2


O

+

0.5
*

K
2


O


,


Al
2



O
3



)


,




(
I
)







where chemical formulas mean the amounts of corresponding components in the glass composition in mol. %.


The anorthite precipitation parameter Panort, as well as other precipitation parameters (Pcord, Pspod and Pcrist) described below, relate to empirically observed correlations between the glass composition and the liquidus temperature in cases when a specific crystalline phase (such as anorthite, cordierite, spodumene, cristobalite) was found to precipitate at the liquidus temperature. Without being bound to any specific theory, it is believed that these correlations are a consequence of chemical binding or association of specific oxides with each other in the glass forming melts, which, in turn, may form an atomic structure similar in structure to a crystalline phase with a tendency to precipitate from the melt.


Specifically, the anorthite precipitation parameter Panort accounts for oxides that form the mineral anorthite (CaAl2Si2O8), including oxides that can be soluble in anorthite in the solid state, thus forming solid solutions, also known as plagioclases. It is known from the literature (see, for example: G. W. MOREY, Data of Geochemistry, 6th Edition, Chapter L: Phase Equilibrium Relations of the Common Rock-Forming Oxides Except Water, United States Government Printing Office, Washington, 1964, 173 pages) and has been empirically observed in certain glasses of the present disclosure, that anorthite or plagioclase crystalline precipitates can contain (besides CaO, Al2O3 and/or SiO2), sodium oxide (Na2O), potassium oxide K2O, strontium oxide (SrO) and/or barium oxide (BaO), so that embodiments of potential crystalline precipitates related to anorthite can be represented by the chemical formulas M2O*Al2O3*3SiO2, where M2O refers to one or more of Na2O and K2O, or MO*Al2O3*2SiO2, where MO refers to one or more of CaO, SrO and BaO. It has also been empirically observed that the solubility of BaO and K2O in these crystalline precipitates is, in most cases, somewhat less than the solubility of CaO, SrO and Na2O.


Without being bound to any specific theory, it is hypothesized that melts of some embodiments of the aluminosilicate glasses of the present disclosure may contain structural units with compositions similar to the compositions of anorthite and related crystalline precipitates. The greater the amount of such structural units in the melt is, the more likely it is that precipitation may occur, and, accordingly, the higher the temperature at which the corresponding crystalline precipitates may exist in equilibrium with the liquid phase.


Then, in embodiments of the present disclosure in which the content of SiO2 in the glass composition is high enough to form anorthite or a related crystalline precipitate, it is hypothesized that the amount of such structural units (M2O*Al2O3*3SiO2 and MO*Al2O3*2SiO2) that form in the melt of the glass composition can be roughly correlated with the lesser of the content of alumina (Al2O3) in mol. % and the total content of M2O+MO in mol. % in the glass composition, i.e. as min(M2O+MO, Al2O3), where chemical formulas and abbreviations mean the content of corresponding oxides in glass in terms of mol. %.


Regarding the limited solubility of K2O and BaO relative to CaO, SrO and Na2O in anorthite and related crystalline precipitates as noted above, an empirical factor of 0.5 was applied to the amounts of K2O and BaO when formulating the anorthite precipitation parameter Panort. Accordingly, the sum (M2O+MO), as stated above in the context of precipitation of anorthite and related crystalline phases, can be expressed as












M
2


O

+

M

O






(

CaO
+
SrO

+

0.5
*
BaO

+



Na
2


O

+

0.5
*

K
2


O


)

.





(
II
)







Finally, the lesser of the sum (M2O+MO), as calculated by the formula (II), and Al2O3 gives an estimate of the amount of structural units that, when present in a glass forming melt, may precipitate as anorthite or a related crystalline phase (e.g. plagioclase).


Based on the above reasoning, it is hypothesized that a higher value of the parameter Panort may indicate a higher probability of precipitating anorthite or related crystalline phases (e.g. plagioclase) at high temperatures, thus causing higher liquidus temperature. This means that in some embodiments of the present disclosure, to reduce the liquidus temperature of glass, it is preferable that the value of Panort is small.


Cordierite precipitation parameter Pcord is a quantity calculated by the following formula (III):











P
cord

=

MgO

+
MnO
+
FeO



,




(
III
)







where chemical formulas mean the amounts of corresponding components in the glass composition in mol. %.


The cordierite precipitation parameter Pcord is designed to predict the probability of precipitation of cordierite and related crystalline phases from the glass forming melts of the present disclosure at high temperatures.


The chemical formula of cordierite is commonly known as 2MgO*2Al2O3*5SiO2, or Mg2Al4Si5O18. However, it has been empirically observed that when precipitating from the glass forming melts, variations of cordierite in which MnO and/or FeO isostructurally replace MgO (in whole or in part) can form. Accordingly, assuming the amount of alumina and silica in the glass composition of the is sufficient to bind all MgO, MnO and FeO, the value of Pcord, as an estimate for predicting the tendency of precipitation of cordierite and related crystalline phases, can be presented as a sum of the concentrations of MgO, MnO, and FeO in the glass composition in mol. %, which gives the above-presented formula (III).


It is hypothesized that if the value of Pcord is high, cordierite (or a related crystalline phase) may possibly precipitate from the glass forming melts at high temperatures. Accordingly, in some embodiments of the present disclosure, the value of Pcord is preferably limited.


Spodumene precipitation parameter Pspod is a quantity calculated by the following formula (IV):











P

spod



=

min

(



Li
2


O

,



Al
2



O
3


-


K
2


O

-

0.5
*

Na
2


O



)


,




(
IV
)







where chemical formulas mean the amounts of corresponding components in mol. % in the glass composition.


The spodumene precipitation parameter Pspod is designed to estimate the probability of precipitation of spodumene (LiAlSi2O6, or Li2O*Al2O3*4SiO2) from the glass forming melts at high temperatures.


Without being bound to a specific theory, it is hypothesized that the probability of precipitating spodumene from the glass forming melts at high temperatures may correlate to the amount of structural units with atomic compositions similar to that of spodumene. If the amount of silica in an embodiment of a glass composition of the present disclosure is sufficient for the formation of such structural units, the amount of such structural units in the melt can be roughly correlated to the lesser of the concentrations of Li2O and Al2O3, in mol. %, in the glass composition, mathematically expressed as










P
spod




min

(



Li
2


O

,


Al
2



O
3



)

.





(
V
)







In addition, it has been empirically observed that if the glass composition contains significant amounts of Na2O and, especially, K2O, precipitation of spodumene may be suppressed. Without being bound to a specific theory, it is hypothesized that this effect may be caused by chemical binding of the alumina in the glass forming melt with sodium and potassium oxides, thus making the bound alumina inactive in the reaction with Li2O and suppressing the precipitation of spodumene. To approximately account for this effect, the concentration of K2O and half of the concentration of Na2O are deducted from the concentration of Al2O3 when estimating the tendency of spodumene to precipitate from the melt. The term “Al2O3” in the formula (V) above is thus replaced by (Al2O3—K2O-0.5*Na2O), where the chemical formulas of oxides mean the concentrations of these oxides in the glass composition in mol. %. After this substitution, formula (V) is modified to give formula (IV) above for Pspod.


It is hypothesized that if the value of Pspod is high, spodumene may possibly precipitate from the glass forming melts at high temperatures. Accordingly, in some embodiments of the present disclosure, the value of Pspod is preferably limited.


Cristobalite precipitation parameter Pcrist is a quantity calculated by the following formula (VI):











P
crist

=


SiO
2

-

6
*

(



Na
2


O

+


K
2


O


)


-

4
*

Li
2


O

-

2
*

(

CaO
+
SrO
+
BaO

)


-

2.5
*
MgO



,




(
VI
)







where chemical formulas mean the amounts of corresponding components in the glass composition in mol. %.


The cristobalite precipitation parameter Pcrist is introduced to estimate the probability of precipitation of the mineral cristobalite (SiO2) from the glass forming melts of the present disclosure at high temperatures.


Without being bound to a specific theory, it is hypothesized that the amount of SiO2 in the glass composition that may potentially precipitate in the form of cristobalite correlates to the residual amount of silica remaining after binding with other oxides (i.e. alumina, alkali metal oxides and alkaline earth metal oxides) in structural units with compositions of other crystalline phases having a tendency to precipitate. Such crystalline phases include Li2O*Al2O3*4SiO2 (spodumene), Na2O*Al2O3*6SiO2 (albite), K2O*Al2O3*6SiO2 (K-feldspar), MgO*Al2O3*2.5SiO2 (cordierite, which can also be presented as 2MgO*2Al2O3*5SiO2), CaO*Al2O3*2SiO2 (anorthite), SrO*Al2O3*2SiO2 (Sr-feldspar) and BaO*Al2O3*2SiO2 (celsian).


If the amount of silica and alumina in the glass composition is sufficient for forming all of the listed crystalline phases, the residual amount of silica can be obtained by deducting the amounts of alkali and alkaline earth metal oxides, multiplied by the stoichiometric coefficients for silica in the formulas of the listed crystalline phases (Li2O*4 for spodumene, Na2O*6 for albite, CaO*2 for anorthite, etc.), from the total amount of silica in the glass composition in mol. %. Thus, the residual amount of silica can be evaluated by the formula (VI) above.


It is hypothesized that if the value of Pcrist is high, cristobalite may possibly precipitate from the glass forming melts at high temperatures. Accordingly, in some embodiments of the present disclosure, the value of Pcrist is preferably limited.


The modifier-binding parameter Pmod is a quantity calculated by formula (VII):










P

mo

d


=



R
2


O

+

R

O

-


Al
2



O
3


-


P
2



O
5


-


RE
m



O
n







(
VII
)







where R2O is total sum of monovalent metal oxides, RO is total sum of divalent metal oxides, REmOn is total sum of rare earth metal oxides, and chemical formulas mean the amounts of corresponding components in the glass composition in mol. %.


The modifier-binding parameter Pmod evaluates the total amount of modifiers (monovalent metal oxides R2O and divalent metal oxides RO) that can be chemically bounded with the network formers—alumina (Al2O3), phosphorus oxide (P2O5) and rare earth metal oxides (REmOn)—of the glass compositions disclosed herein. Assuming one mole of modifier (R2O and RO) binds with one mole of network former, the difference between the total content of modifiers and the total content of network formers gives the value of Pmod as presented in the formula (VII) above.


Without being bound to a specific theory, the authors believe that if the parameter Pmod has a large positive value, it may mean that the glass structure may contain a significant amount of modifiers that may form non-bridging oxygen atoms, which, in turn, may cause a decrease in the low-temperature viscosity and, in particular, a decrease in the annealing and strain points, which may reduce the possibility of using the glass as a material for the memory recording media suitable to the HAMR process as specified above.


Accordingly, in some embodiments of the present disclosure, the glass compositions are preferably characterized by negative, zero or small positive values of Pmod.


The aluminum-binding parameter PAl is a quantity calculated by formula (VIII):











P
Al

=



R
2


O

+

R

O

+


P
2



O
5


+

1.6
*

RE
m



O
n


-


Al
2



O
3




,




(
VIII
)







where R2O is total sum of monovalent metal oxides, RO is total sum of divalent metal oxides, REmOn is total sum of rare earth metal oxides, and chemical formulas mean the amounts of corresponding components in the glass composition in mol. %.


The aluminum-binding parameter PAl estimates the amount of alumina that can be chemically bounded with other oxides, such as modifiers (R2O and RO), phosphorus oxide (P2O5) and rare earth metal oxides (REmOn). Without being bound to a specific theory, it is hypothesized that one mole of alumina can possibly react or bind with either one mole of modifiers, one mole of P2O5, or 1.6 moles of REmOn (the figure for REmOn is selected on the basis of known compositions of rare earth aluminates, such as yttrium alumina garnet (YAG, Y3Al5O12), lanthanum aluminate (La3Al5O12) and others). Under this hypothesis, the difference between the total sum of the oxides in mol. % (weighted by the stoichiometric coefficients noted above) and the concentration of alumina in mol. % in the glass composition characterizes the lack or excess of alumina comparing to the oxides.


Without being bound to a specific theory, it is hypothesized that an excess of alumina relative to the above-enumerated oxides (R2O, RO, P2O5, REmOn) may potentially cause precipitation of alumina or alumina-rich crystalline phases, such as, for example, beta-alumina (X*6Al2O3, where “X” refers to one or more of monovalent or divalent metal oxides), mullite (3Al2O3*2SiO2), corundum (Al2O3) and others, from the glass forming melts at high temperatures, thus increasing the liquidus temperature and reducing the liquidus viscosity. Accordingly, in some embodiments of the present disclosure, the glass compositions are preferably characterized by negative, zero or small positive values of PAl.


The annealing point An.P., specific modulus E/dRT and T160 kP are properties of glass that can be predicted from the glass composition. A linear regression analysis of the Exemplary Glasses of the present disclosure in the EXAMPLES section below and other glass compositions reported in the literature was performed to determine equations that can predict the composition dependences of the annealing point, specific modulus, and temperature at which the glass has a viscosity of 160 kP.


The training dataset of glass compositions satisfying the criteria specified in Table 1 below and having measured values of the properties of interest, about 100 glass compositions for each property ((An.P., E/dRT and T160 kP)), was randomly selected from the literature data presented in the publicly available SciGlass Information System database and from the Exemplary Glasses from the embodiments presented herein. The linear regression analysis on the above-specified dataset (excluding outliers) was used to determine the formulas (IX), (X), and (XI) below for the predictive parameters Panpt, Pspm, and P160 kP. In Table 1, RO is a total sum of divalent metal oxides, R2O is a total sum of monovalent metal oxides and REmOn is a total sum of rare earth metal oxides.


Another set of glass compositions satisfying the criteria of Table 1 was used as a validation set to evaluate the ability to interpolate within predefined compositional limits. Based on the validation analysis, interpolation to within standard deviations specified in the Table 2 was possible. An external dataset of prior art glass compositions, also randomly selected from the SciGlass Information System database, was used to evaluate the ability to predict the properties outside of the specified compositional limits with a reasonable accuracy. Multiple iterations of this process were performed in order to determine the best variant for each property, corresponding to the regression formulas for the parameters specified in Table 2.


The data for the Comparative Glass compositions used in the linear regression modeling, including the training dataset, validation dataset and external dataset were obtained from the publically available SciGlass Information System database. Formulas (IX), (X) and (XI) below were obtained from the linear regression analysis and used to predict the annealing point, specific modulus, and temperature at which the viscosity is 160 kP, respectively, of the glasses:











P
anpt

=

664.7
+

5.2303
*

SiO
2


-

11.493
*

B
2



O
3


-

7.1742
*

P
2



O
5


+

8.398
*

ZrO
2


-

2.0585
*
MgO

-

2.1088
*
CaO

-

3.8995
*
BaO

-

10.323
*
ZnO

-

9.0727
*
MnO

-

23.455
*

Li
2


O

-

33.819
*

Na
2


O

-

25.204
*

K
2


O

+

15.745
*

Y
2



O
3


+

8.9047
*

La
2



O
3


-

33.96
*

(



Fe
2



O
3


+
FeO

)


-

5.6704
*

(



R
2


O

+
RO
-


Al
2



O
3



)


-

4.2545
*

(


SiO
2

-

(


6
*

K
2


O

+

6
*

Na
2


O

+

4
*

Li
2


O

+

2
*
RO


)


)


-

19.439
*

Cu
2


O



,




(
IX
)
















P
spm

=

32.1
+

0.47744
*

SiO
2


-

1.6506
*

Al
2



O
3


-

0.11775
*

B
2



O
3


-

0.30166
*

P
2



O
5


+

0.20187
*

TiO
2


+

0.20219
*

ZrO
2


+

0.96268
*
MgO

+

0.83379
*
CaO

+

0.53685
*
SrO

+

0.41218
*
BaO

+

0.63264
*
ZnO

+

0.75365
*
MnO

+

0.62984
*
CuO

-

1.2496
*

Na
2


O

-

1.5154
*

K
2


O

+

1.4746
*

Cu
2


O

-

0.37941
*

Y
2



O
3


-

0.75836
*

La
2



O
3


-

1.8052
*

(



R
2


O

+

R

O

-


Al
2



O
3



)


-

0.47488
*

SiO
2


-

6
*

K
2


O

+

6
*

Na
2


O

+

4
*

Li
2


O

+

2
*

R

O




)

)

,




(
X
)













P

160

kp


=

1058
+

2.5492
*

SiO
2


-

25.725
*

Al
2



O
3


-

11.327
*

B
2



O
3


-

10.014
*

P
2



O
5


-

14.309
*

TiO
2


-

11.594
*

ZrO
2


+

30.559
*
MgO

+

29.29
*
CaO

+

30.592
*
SrO

+

30.079
*
BaO

+

23.323
*
ZnO

+

19.724
*
MnO

+

11.888
*
PbO

+

11.462
*
CuO

+

17.09
*

Li
2


O

+

16.475
*

Na
2


O

+

11.386
*

K
2


O

+

14.422
*

Y
2



O
3


-

36.909
*

La
2



O
3


-

34.144
**

(



Fe
2



O
3


+
FeO

)


-

35.001
*


(



R
2


O

+

R

O

-


Al
2



O
3



)

.







(
XI
)







In Formulas (IX), (X) and (XI) and Tables 1 and 2, annealing point parameter Panpt is a parameter that predicts the annealing point [° C.], calculated from the components of the glass composition expressed in mol. %; specific modulus parameter Pspm is a parameter that predicts the specific modulus E/dRT [GPa·cm3/g], calculated from the components of the glass composition expressed in mol. %; and the parameter P160 kP is a parameter that predicts the glass temperature corresponding to a viscosity of 160 kP [° C.], calculated from the components of the glass composition expressed in mol. %.


In Formulas (IX), (X) and (XI), each component of the glass composition is listed in terms of its chemical formula, where the chemical formula refers to the concentration of the component expressed in mol. %. For example, for purposes of Formulas (IX), (X) and (XI), SiO2 refers to the concentration of SiO2, expressed in mol. %, in the glass composition. It is understood that not all components listed in Formulas (IX), (X) and (XI) are necessarily present in a particular glass composition and that Formulas (IX), (X) and (XI) are equally valid for glass compositions that contain less than all of the components listed in the formulas. It is further understood that Formulas (IX), (X) and (XI) are also valid for glass compositions within the scope and claims of the present disclosure that contain components in addition to the components listed in the formulas. If a component listed in Formulas (IX), (X) and (XI) is absent in a particular glass composition, the concentration of the component in the glass composition is 0 mol. % and the contribution of the component to the value calculated from the formulas is zero.









TABLE 1







Composition Space Used for Modeling









Property











An. P., ° C.
E/dRT, GPa · cm3/g
T160 kP, ° C.













Component
Min, mol. %
Max, mol. %
Min, mol. %
Max, mol. %
Min, mol. %
Max, mol. %
















SiO2
60
75
60
75
60
75


Al2O3
10
20
10
20
10
20


Li2O
0
10
0
10
0
10


Na2O
0
10
0
10
0
10


K2O
0
5
0
5
0
5


BaO
0
5
0
5
0
5


B2O3
0
3
0
3
0
3


La2O3
0
3
0
3
0
3


RO
3
Not limited
3
Not limited
3
Not limited


R2O
2.5
Not limited
2.5
Not limited
2.5
Not limited


F
0
0.05 [at. %]
0
1 [at. %]
0
1 [at. %]


ZrO2 + TiO2 +
0
5
0
5
0
5


FeO + Fe2O3


R2O + RO +
−5
Not limited
−5
Not limited
−5
Not limited


P2O5 + 1.6 *


REmOn


Al2O3


R2O + RO −
Not
5
Not
5
Not
5


Al2O3 − P2O5
limited

limited

limited


REmOn


R2O − Al2O3
Not
0
Not
0
Not
0



limited

limited

limited


Other
0
Not
0
Not
0
Not


species

limited

limited

limited
















TABLE 2







Property prediction models
















Predicting
Regression
Composition
Standard


Property
Abbreviation
Unit
Parameter
Formula
Unit
error
















Annealing point
An. P.
° C.
Panpt
Formula (IX)
mol. %
22


Specific
E/dRT
GPa · cm3/g
Pspm
Formula (X)
mol. %
0.32


modulus


Temperature
T160 kP
° C.
P160 kP
Formula (XI)
mol. %
37


corresponding


to a viscosity of


160 kP










FIG. 1 is a plot of the parameter Panpt calculated by Formula (IX) as a function of measured annealing point An.P. for some Literature Glasses (“Comp. Glasses”) and some Exemplary Glasses (“Ex. Glasses”). As illustrated by the data in FIG. 1, the compositional dependence of the parameter Panpt had an error within a range of ±22° C. of the measured An.P. for the majority of glasses, which corresponds to the standard error specified in Table 2.



FIG. 2 is a plot of the parameter Pspm calculated by Formula (X) as a function of measured specific modulus E/dRT for some Literature Glasses (“Comp. Glasses”) and some Exemplary Glasses (“Ex. Glasses”). As illustrated by the data in FIG. 2, the compositional dependence of the parameter Pspm had an error within a range of ±0.32 GPa·cm3/g of the measured E/d for the majority of glasses, which corresponds to the standard error specified in Table 2.



FIG. 3 is a plot of the parameter P160 kP calculated by Formula (XI) as a function of the measured temperature T160 kP at which the glass has a viscosity of 160 kP for some Literature Glasses (“Comp. Glasses”) and some Exemplary Glasses (“Ex. Glasses”). As illustrated by the data in FIG. 3, the compositional dependence of the parameter P160 kP had an error within a range of ±37° C. of the measured T160 kP for the majority of glasses, which corresponds to the standard error specified in Table 2.


Table 3 identifies the combination of components and their respective amounts according to some embodiments of the present disclosure. The Exemplary Glasses A in Table 3 may include additional components according to any aspects of the present disclosure as described herein.









TABLE 3







Exemplary Glasses A










Component
Amount (mol. %)















SiO2
60.0 to 75.0
mol. %



Al2O3
10.0 to 18.0
mol. %



Li2O
0.0 to 10.0
mol. %



Na2O
0.0 to 5.0
mol. %



Sum of (CaO + MgO)

custom-character  5.0

mol. %



Sum of (Li2O + Na2O)

custom-character  0.5

mol. %



Sum of (Li2O + MgO)
0.0 to 10.0
mol. %



Sum of (MgO + ZnO)
0.0 to 10.0
mol. %



Sum of (CaO + SrO)
0.0 to 9.0
mol. %










Exemplary Glasses A according to embodiments of the present disclosure may optionally fluorine (F) in an amount 0.0 to 3.0 at. %.


According to some embodiments of the present disclosure, Exemplary Glasses A may also have an aluminum-binding parameter PAl of greater than or equal to −2.8.


According to some embodiments of the present disclosure, Exemplary Glasses A may also have a modifier-binding parameter Pmod of less than or equal to 2.8.


According to some embodiments of the present disclosure, Exemplary Glasses A may also have an anorthite precipitation parameter Panort of less than or equal to 10.


Table 4 identifies the combination of components and their respective amounts according to some embodiments of the present disclosure. The Exemplary Glasses B in Table 4 may include additional components according to any aspects of the present disclosure as described herein.









TABLE 4







Exemplary Glasses B










Component
Amount (mol. %)















SiO2
60.0 to 80.0
mol. %



Al2O3
10.0 to 18.0
mol. %



Li2O
0.5 to 7.5
mol. %










Exemplary Glasses B according to embodiments of the present disclosure may optionally fluorine (F) in an amount 0.0 to 0.5 at. %.


According to some embodiments of the present disclosure, Exemplary Glasses B may also satisfy the following condition:






0.


min

(



RE
m



O
n


,


P
2



O
5



)


0.3




where chemical formulas refer to the amounts of components in glass, expressed in mol. %.


According to some embodiments of the present disclosure, Exemplary Glasses B may also have a cristobalite precipitation parameter Pcrist of less than or equal to 28.


According to some embodiments of the present disclosure, Exemplary Glasses B may also have an anorthite precipitation parameter Panort of less than or equal to 10.


According to some embodiments of the present disclosure, Exemplary Glasses B may also have a cordierite precipitation parameter Pcord of less than or equal to 5.


According to some embodiments of the present disclosure, Exemplary Glasses B may also have a spodumene precipitation parameter Pspod of less than or equal to 7.5.


According to some embodiments of the present disclosure, Exemplary Glasses B may also have a specific modulus E/dRT of greater than or equal to 32 GPa·cm3/g.


According to some embodiments of the present disclosure, Exemplary Glasses B may also have an annealing point An.P. of greater than or equal to 680° C.


According to some embodiments of the present disclosure, Exemplary Glasses B may also have a temperature T160 kP corresponding to a viscosity of 160 kP of greater than or equal to 1150° C.


Table 5 identifies the combination of components and their respective amounts according to some embodiments of the present disclosure. The Exemplary Glasses C in Table 5 may include additional components according to any aspects of the present disclosure as described herein.









TABLE 5







Exemplary Glasses C










Component
Amount (mol. %)















SiO2
60.0 to 75.0
mol. %



Al2O3
10.5 to 18.0
mol. %



CaO
0.0 to 10.0
mol. %



Li2O
0.0 to 7.8
mol. %



MgO
0.0 to 4.3
mol. %



ZrO2
0.0 to 0.5
mol. %



Total sum of rare earth
0.0 to 5.0
mol. %



metal oxides REmOn










Exemplary Glasses C according to embodiments of the present disclosure may have a cristobalite precipitation parameter Pcrist of less than or equal to 28.


According to some embodiments of the present disclosure, Exemplary Glasses C may also have an anorthite precipitation parameter Panort of less than or equal to 10.


According to some embodiments of the present disclosure, Exemplary Glasses C may also have a modifier-binding parameter Pmod of greater than or equal to −3.


According to some embodiments of the present disclosure, Exemplary Glasses C may also satisfy the following formula:









E
/

d
RT


-

(

92.5
-

0.05
*

T

160


kp




)


>
0.

,




where E/dRT is a specific modulus and T160 kP is a temperature corresponding to a glass viscosity of 160 kP.


EXAMPLES

The following examples describe various features and advantages provided by the disclosure, and are in no way intended to limit the invention and appended claims.


Glass compositions were prepared and analyzed. The analyzed glass compositions included the components listed in Table 6 below. Example glasses were melted with conventional raw materials, such as sand, aluminum oxide, alkali carbonates, alkali nitrates, spodumene, nepheline syenite, borax, boric acid, aluminum metaphosphate, disodium phosphate, magnesium oxide, rare earth metal oxides, tin oxide, and various combinations. The glasses were melted in platinum crucibles between 1500° C. and 1575° C. for 5 to 6 hours, poured as a relatively thin stream into a water bath to quench the molten glass into small particles (drigaged) and then re-melted at a higher temperature of 1650° C. for 5 to 6 hours to improve homogeneity and melt quality. The glasses were then cast onto a steel plate, annealed for 1 hour near the anneal temperatures given in Table 6 below, and cooled to room temperature to form final glass articles.









TABLE 6





Exemplary Glass Compositions























Exemplary Glass
1
2
3
4
5
6
7
8










Composition - mol. %
















SiO2
mol. %
65.22
65.41
64.53
63.99
66.66
69.12
65.87
65.83


Al2O3
mol. %
17.41
17.43
17.90
17.87
16.89
15.95
17.87
17.87


Li2O
mol. %
5.94
6.18
6.27
4.87
5.37
5.85
6.64
6.54


CaO
mol. %
1.99
4.02
4.01
3.98
3.98
4.01
3.01
4.02


MgO
mol. %
3.97
1.98
1.98
1.98
1.98
1.98
0.97
0.09


Na2O
mol. %
3.36
3.48
3.42
4.61
3.68
2.73
3.44
3.46


P2O5
mol. %
0.85
1.14
1.53
2.34
1.08
0
1.84
1.83


B2O3
mol. %
0.90
0
0
0
0
0
0
0


K2O
mol. %
0.20
0.20
0.20
0.20
0.20
0.20
0.20
0.20


SnO2
mol. %
0.15
0.15
0.15
0.15
0.15
0.15
0.15
0.15


Fe2O3
mol. %
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01







Composition constraints
















CaO + SrO
mol. %
1.990
4.020
4.010
3.979
3.980
4.010
3.010
4.020


CaO + MgO
mol. %
5.961
6.000
5.990
5.960
5.959
5.990
3.980
4.110


Li2O + Na2O
mol. %
9.300
9.659
9.689
9.478
9.051
8.580
10.08
10.00


Li2O + MgO
mol. %
9.911
8.159
8.249
6.849
7.350
7.829
7.610
6.629


MgO + ZnO
mol. %
3.970
1.980
1.980
1.981
1.979
1.980
0.9700
0.09000


ZrO2 + TiO2 +
mol. %
0.010000
1.000E−02
9.998E−03
9.997E−03
1.000E−02
0.010001
9.999E−03
0.010001


FeO + Fe2O3







Measured properties
















α20-300 × 107
K−1
47.100
50.400
50.000
50.100
47.800
46.200
49.500
50.200


Str. P.
° C.
651
664
661
664
671
679
665
673


An. P.
° C.
699
712
710
713
721
728
716
723


Tsoft
° C.
930
942
939
948
956
967
955
960


T160 kP
° C.
1107
1124
1123
1137
1140
1151
1143
1151


T35 kP
° C.
1181
1198
1198
1214
1216
1228
1220
1228


T200 P
° C.
1571
1590
1591
1611
1615
1630
1624
1628


Tliq
° C.
>1350
>1305
>1300
1335
1310
1295
>1350
1345


log(ηliq)
P
3.38
3.76
3.81
3.69
3.86
4.05
3.64
3.72


E
GPa
85.640
85.290
85.080
83.020
84.670
85.840
83.500
83.150


G
GPa
34.890
34.890
34.750
33.990
34.680
35.230
34.270
34.200


E/dRT
GPa · cm3/g
35.000
34.800
34.700
33.900
34.600
35.100
34.300
34.200


dRT
g/cm3
2.444
2.452
2.453
2.447
2.447
2.443
2.431
2.434







Predicted and calculated properties
















Panort

5.5833
7.6455
7.6252
8.8092
7.8656
6.9109
6.6386
7.6568


Pcord

3.9877
1.9934
1.9938
1.9939
1.9943
1.9941
0.99785
0.11337


Pspod

5.9599
6.2501
6.3182
4.7043
5.3023
5.8515
6.7991
6.6516


Pcrist

5.1090
4.7247
3.6404
2.5914
8.4910
14.524
7.3384
8.0376


Pmod

−2.6835
−2.6250
−3.4590
−4.7228
−2.7830
−1.0930
−5.2663
−5.2561


PAl

−0.94912
−0.29191
−0.34876
0.04274
−0.58979
−1.0930
−1.5574
−1.5515


Pspm [for
GPa · cm3/g
34.74
34.51
34.47
33.83
34.32
34.75
34.35
34.21


E/dRT]


Panpt [for
° C.
693.3
696.8
695.3
692.0
704.1
715.5
686.9
688.1


An. P.]


P160 kP [for
° C.
1162
1160
1157
1155
1172
1188
1159
1159


T160 kP]


Pspm − (92.5 −

0.4714
0.1683
0.0318
−0.9212
0.4787
1.7666
0.0406
−0.1057


0.05 * P160 kP)


















Exemplary Glass
9
10
11
12
13
14
15
16










Composition - mol. %
















SiO2
mol. %
67.09
64.37
67.14
64.47
63.75
63.89
63.94
63.93


Al2O3
mol. %
16.85
17.84
16.81
17.80
18.04
17.96
17.97
17.99


Li2O
mol. %
6.01
5.59
5.80
5.38
7.12
7.12
7.10
7.08


CaO
mol. %
4.00
4.01
6.00
6.00
4.03
3.00
2.00
1.00


MgO
mol. %
1.97
1.98
0.12
0.12
0.98
1.98
2.97
3.96


Na2O
mol. %
3.03
3.93
3.09
3.96
2.11
2.12
2.10
2.10


P2O5
mol. %
0.69
1.92
0.68
1.91
3.71
3.67
3.66
3.68


K2O
mol. %
0.20
0.20
0.20
0.20
0.10
0.10
0.10
0.10


SnO2
mol. %
0.15
0.15
0.15
0.15
0.15
0.15
0.15
0.15


Fe2O3
mol. %
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01







Composition constraints
















CaO + SrO
mol. %
4.000
4.010
6.000
6.001
4.029
3.000
2.000
0.9999


CaO + MgO
mol. %
5.970
5.990
6.120
6.121
5.009
4.981
4.970
4.960


Li2O + Na2O
mol. %
9.039
9.520
8.890
9.341
9.230
9.239
9.199
9.179


Li2O + MgO
mol. %
7.979
7.570
5.919
5.501
8.100
9.100
10.07
11.04


MgO + ZnO
mol. %
1.970
1.980
0.1200
0.1200
0.9799
1.981
2.970
3.960


ZrO2 + TiO2 +
mol. %
1.000E−02
9.998E−03
0.010001
0.010001
9.999E−03
9.997E−03
1.000E−02
9.999E−03


FeO + Fe2O3







Measured properties
















α20-300 × 107
K−1
47.300
49.200
49.400
51.300
45.700
44.600
43.700
42.200


Str. P.
° C.
670
663
688
678
659
656
653
652


An. P.
° C.
720
712
737
728
710
706
705
703


Tsoft
° C.
955
947
967
961
947
946
945
943


T160 kP
° C.
1134
1136
1144
1137
1137

1133
1127


T35 kP
° C.
1209
1212
1219
1211
1214
1212
1209
1203


T200 P
° C.
1607
1604
1616
1599
1612
1609
1602
1597


Tliq
° C.
1315
1325
1300
1300
1280
>1320
>1335
>1300


log(ηliq)
P
3.78
3.73
3.94
3.88
4.05

3.65
3.85


E
GPa
85.640
84.260
84.670
83.360
82.400
82.600
83.080
83.290


G
GPa
35.030
34.480
34.680
34.060
33.850
33.920
33.990
34.270


E/dRT
GPa · cm3/g
35.000
34.400
34.500
33.900
34.000
34.100
34.400
34.500


dRT
g/cm3
2.448
2.451
2.453
2.456
2.423
2.420
2.417
2.415







Predicted and calculated properties
















Panort

7.2275
8.1340
9.2570
10.163
6.2238
5.2277
4.2299
3.2340


Pcord

1.9937
1.9950
0.15720
0.15605
0.99683
1.9942
2.9919
3.9882


Pspod

6.0307
5.4717
5.7513
5.2056
6.9861
6.9860
6.9881
6.9875


Pcrist

9.7140
3.9111
11.308
5.4590
11.675
11.171
10.667
10.167


Pmod

−2.2927
−4.1964
−2.3415
−4.2330
−7.5157
−7.5129
−7.5094
−7.5136


PAl

−0.89687
−0.28859
−0.96807
−0.35083
−0.0591
−0.05621
−0.05267
−0.05724


Pspm [for
GPa · cm3/g
34.64
34.17
34.37
33.89
34.1
34.24
34.37
34.50


E/dRT]


Panpt [for
° C.
707.0
695.4
710.1
698.1
690.3
690.2
690.2
690.5


An. P.]


P160 kP [for
° C.
1175
1159
1177
1160
1155
1156
1157
1159


T160 kP]


Pspm − (92.5 −

1.0443
−0.3727
0.7290
−0.6402
−0.6555
−0.4635
−0.2129
−0.0080


0.05 * P160 kP)


















Exemplary Glass
17
18
19
20
21
22
23
24










Composition - mol. %
















SiO2
mol. %
64.94
64.11
74.16
74.46
74.40
74.47
74.53
74.36


Al2O3
mol. %
17.64
17.96
12.34
12.39
12.41
12.39
12.41
12.40


Li2O
mol. %
7.13
6.41
4.12
4.06
3.97
3.07
3.04
3.10


CaO
mol. %
3.99
3.99
4.12
2.99
2.02
3.99
2.98
2.01


MgO
mol. %
0.98
2.42
2.02
2.94
4.01
1.96
2.93
3.97


Na2O
mol. %
2.11
3.25
2.95
2.88
2.91
3.84
3.83
3.88


P2O5
mol. %
2.95
1.50
0
0
0
0
0
0


K2O
mol. %
0.10
0.20
0.14
0.13
0.14
0.13
0.13
0.13


SnO2
mol. %
0.15
0.15
0.14
0.14
0.13
0.14
0.14
0.14


Fe2O3
mol. %
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01







Composition constraints
















CaO + SrO
mol. %
3.990
3.990
4.120
2.990
2.021
3.990
2.981
2.010


CaO + MgO
mol. %
4.970
6.411
6.141
5.931
6.031
5.949
5.911
5.980


Li2O + Na2O
mol. %
9.238
9.661
7.069
6.941
6.880
6.909
6.870
6.980


Li2O + MgO
mol. %
8.109
8.831
6.140
7.001
7.981
5.029
5.970
7.071


MgO + ZnO
mol. %
0.9801
2.420
2.021
2.941
4.011
1.960
2.931
3.970


ZrO2 + TiO2 +
mol. %
9.999E−03
0.010000
0.010001
0.010002
0.010003
9.999E−03
0.010002
0.010000


FeO + Fe2O3







Measured properties
















α20-300 × 107
K−1
45.600
48.400
43.400
42.100
40.000
44.500
42.300
39.200


Str. P.
° C.
664
660
670
674
672
681
680
678


An. P.
° C.
715
709
726
729
728
738
736
733


Tsoft
° C.
951
938
989
999
999
1010
1008
1006


T160 kP
° C.
1133
1121
1210
1216
1210
1225
1230
1222


T35 kP
° C.
1209
1195
1301
1304
1298
1315
1321
1310


T200 P
° C.
1605
1587
1741
1754
1744
1772
1777
1757


Tliq
° C.
>1280
>1330
1225
1295
1200
1225
1180
1200


log(ηliq)
P
4.01
3.59
5.09
4.61
5.29
5.20
5.61
5.38


E
GPa
83.220
85.770
82.740
83.150
83.500
81.910
82.330
82.670


G
GPa
34.060
35.030
34.200
34.410
34.540
33.920
33.990
34.200


E/dRT
GPa · cm3/g
34.300
34.900
34.300
34.600
34.800
34.000
34.200
34.400


dRT
g/cm3
2.426
2.457
2.409
2.404
2.402
2.409
2.405
2.404







Predicted and calculated properties
















Panort

6.2241
7.4271
7.0084
6.0142
5.0215
7.9985
7.0053
6.0127


Pcord

0.99752
2.4431
1.9876
2.9801
3.9728
1.9863
2.9809
3.9737


Pspod

7.0082
6.1689
3.9722
3.9728
3.9717
2.9794
2.9786
2.9798


Pcrist

12.644
4.1157
26.975
26.485
25.991
25.015
24.517
24.013


Pmod

−6.4085
−3.4428
0.61597
0.61503
0.61291
0.61340
0.61273
0.61359


PAl

−0.42705
−0.37205
0.61597
0.61503
0.61291
0.61340
0.61273
0.61359


Pspm [for
GPa · cm3/g
34.29
34.57
34.04
34.17
34.30
33.75
33.87
34.00


E/dRT]


Panpt [for
° C.
694.5
700.5
721.5
721.6
721.8
719.6
719.9
719.8


An. P.]


P160 kP [for
° C.
1162
1162
1202
1203
1204
1201
1203
1203


T160 kP]


Pspm − (92.5 −

−0.1365
0.0720
1.3885
1.8421
2.0447
1.3565
1.6112
1.6558


0.05 * P160 kP)


















Exemplary Glass
25
26
27
28
29
30
31
32










Composition - mol. %
















SiO2
mol. %
73.91
73.49
74.38
73.99
73.12
72.43
74.61
74.52


Al2O3
mol. %
12.84
13.33
12.44
12.85
13.34
13.81
12.47
12.46


Li2O
mol. %
3.03
3.04
3.39
3.38
3.04
3.03
2.47
2.51


CaO
mol. %
3.05
3.03
3.11
3.08
3.05
3.04
3.50
3.02


MgO
mol. %
2.98
2.98
2.51
2.51
3.00
2.97
2.97
3.48


Na2O
mol. %
3.92
3.86
3.91
3.92
3.89
3.86
3.86
3.88


Y2O3
mol. %
0
0
0
0
0.30
0.60
0
0


K2O
mol. %
0.15
0.15
0.15
0.16
0.15
0.15
0.01
0.01


SnO2
mol. %
0.10
0.10
0.09
0.10
0.09
0.09
0.09
0.10


TiO2
mol. %
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01


Fe2O3
mol. %
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01







Composition constraints
















CaO + SrO
mol. %
3.050
3.030
3.110
3.080
3.051
3.041
3.500
3.019


CaO + MgO
mol. %
6.030
6.010
5.621
5.589
6.050
6.011
6.470
6.498


Li2O + Na2O
mol. %
6.950
6.901
7.301
7.297
6.931
6.890
6.330
6.388


Li2O + MgO
mol. %
6.009
6.021
5.900
5.888
6.039
6.000
5.439
5.988


MgO + ZnO
mol. %
2.980
2.980
2.510
2.509
2.999
2.971
2.970
3.479


ZrO2 + TiO2 +
mol. %
0.02000
0.02000
0.02001
0.02000
0.02000
0.02000
0.02000
0.02000


FeO + Fe2O3







Measured properties
















α20-300 × 107
K−1
42.800
42.600
44.900
44.600
42.900
43.500
41.300
41.420


Str. P.
° C.
680
685
671
676
682
684
690
688


An. P.
° C.
736
740
727
730
736
738
746
744


Tsoft
° C.
1007
1008
1003
1003
998
993
1018
1016


T35 kP
° C.
1310
1304
1306
1297
1294
1277


T200 P
° C.
1749
1738
1753
1741
1721
1700


Tliq
° C.
1205
1235
1205
1205
1195
1205
1220
1215


E
GPa
82.740
83.290
82.190
82.400
83.640
84.460
82.330
82.600


G
GPa
34.200
34.340
33.990
34.130
34.480
34.680
34.060
34.130


E/dRT
GPa · cm3/g
34.330
34.500
34.190
34.230
34.390
34.420
34.190
34.300


dRT
g/cm3
2.410
2.414
2.404
2.407
2.432
2.454
2.408
2.408







Predicted and calculated properties
















Panort

7.0449
7.0455
7.0444
7.0451
7.0451
7.0456
7.4690
6.9696


Pcord

2.9926
2.9927
2.4942
2.4943
2.9933
2.9933
2.9933
3.4921


Pspod

2.9920
2.9908
3.4903
3.4908
2.9922
2.9919
2.4931
2.4941


Pcrist

23.709
23.210
23.366
22.960
22.908
22.110
26.152
25.898


Pmod

0.23759
−0.26460
0.63876
0.23711
−0.55723
−1.3549
0.48917
0.48719


PAl

0.23759
−0.26460
0.63876
0.23711
0.22086
0.20089
0.48917
0.48719


Pspm [for E/dRT]
GPa · cm3/g
33.93
34.01
33.86
33.92
33.99
34.06
33.88
33.95


Panpt [for An. P.]
° C.
721.3
723.8
713.2
715.0
728.1
734.7
726.9
726.7


P160 kP [for T160 kP]
° C.
1204
1207
1195
1197
1211
1218
1212
1212


Pspm − (92.5 −

1.6374
1.9497
1.2074
1.4013
2.0717
2.5249
2.1109
2.1288


0.05 * P160 kP)


















Exemplary Glass
33
34
35
36
37
38
39
40










Composition - mol. %
















SiO2
mol. %
74.64
74.29
74.48
74.68
68.75
69.62
69.62
69.87


Al2O3
mol. %
12.49
12.80
12.47
12.50
13.38
12.38
12.39
12.25


Li2O
mol. %
3.86
3.92
3.56
4.32
4.31
3.98
3.76
3.75


CaO
mol. %
2.51
2.51
3.00
2.00
4.19
5.18
4.67
5.04


MgO
mol. %
3.51
3.49
3.47
3.49
4.40
3.40
3.96
4.33


Na2O
mol. %
2.88
2.87
2.90
2.89
0.02
0.02
1.94
1.88


P2O5
mol. %
0
0
0
0
2.84
2.84
2.83
2.78


BaO
mol. %
0
0
0
0
0.77
0.76
0
0


SrO
mol. %
0
0
0
0
1.21
1.21
0.70
0


K2O
mol. %
0.01
0.01
0.01
0.0
0.01
0.49
0.01
0


SnO2
mol. %
0.09
0.09
0.09
0.09
0.10
0.10
0.10
0.10


TiO2
mol. %
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0


Fe2O3
mol. %
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0







Composition constraints
















CaO + SrO
mol. %
2.509
2.510
3.000
2.000
5.400
6.389
5.370
5.040


CaO + MgO
mol. %
6.018
6.000
6.470
5.490
8.590
8.579
8.631
9.372


Li2O + Na2O
mol. %
6.738
6.790
6.459
7.209
4.331
4.001
5.700
5.631


Li2O + MgO
mol. %
7.368
7.410
7.030
7.810
8.711
7.381
7.721
8.082


MgO + ZnO
mol. %
3.509
3.490
3.470
3.490
4.400
3.400
3.961
4.331


ZrO2 + TiO2 +
mol. %
0.02000
0.02000
0.02001
0.02000
0.02000
0.02000
0.02000
0


FeO + Fe2O3







Measured properties
















α20-300 × 107
K−1
40.300
40.500
39.680
40.900
36.800
39.100
40.700
41.000


Str. P.
° C.
680
680
684
673
671
675
661
660


An. P.
° C.
735
735
739
728
723
726
713
711


Tsoft
° C.
1004
1002
1004
998
978
978
972
968


T160 kP
° C.




1170
1185
1180


T35 kP
° C.


1304
1302
1251
1270
1264


T200 P
° C.


1751
1752
1669
1697
1699


Tliq
° C.
1220
1235
1210
1215
1200
1200
1115
1140


log(ηliq)
P




4.95
5.08


E
GPa
83.640
83.770
83.640
83.500
82.740
80.530
81.360
81.840


G
GPa
34.610
34.610
34.540
34.540
34.060
33.160
33.580
33.790


E/dRT
GPa · cm3/g
34.830
34.860
34.760
34.850
33.500
32.700
33.600
33.860


dRT
g/cm3
2.401
2.403
2.406
2.396
2.467
2.461
2.424
2.417







Predicted and calculated properties
















Panort

5.4766
5.4777
5.9747
4.9777
5.7691
7.0232
7.3540
6.9446


Pcord

3.4913
3.4918
3.4920
3.4919
4.4594
3.4596
4.0009
4.2998


Pspod

3.9891
3.9884
3.4905
4.4873
3.9987
3.4987
3.2494
3.7495


Pcrist

26.882
26.580
27.880
25.888
29.371
29.844
24.238
22.339


Pmod

0.48826
0.19029
0.48851
0.48940
−1.7299
−0.72350
−0.74642
−0.17671


PAl

0.48826
0.19029
0.48851
0.48940
4.0088
5.0152
4.9933
5.4630


Pspm [for E/dRT]
GPa · cm3/g
34.31
34.35
34.25
34.36
33.53
32.97
33.35
33.65


Panpt [for An. P.]
° C.
722.4
723.9
728.6
715.9
747.7
746.2
723.9
716.7


P160 kP [for T160 kP]
° C.
1207
1209
1213
1200
1205
1194
1180
1171


Pspm − (92.5 −

2.363
2.474
2.4028
2.1532
0.9443
−0.2710
−0.5716
−0.2505


0.05 * P160 kP)


















Exemplary Glass
41
42
43
44
45
46
47
48










Composition - mol. %
















SiO2
mol. %
70.53
70.58
70.58
70.68
71.03
70.03
70.86
70.89


Al2O3
mol. %
12.38
12.32
12.32
12.30
12.34
12.6
12.74
12.76


Li2O
mol. %
3.76
4.70
3.76
4.70
4.70
0
0
0


CaO
mol. %
5.03
5.04
5.99
4.99
5.04
6.20
5.71
6.21


MgO
mol. %
4.35
4.32
4.29
4.78
4.84
5.52
5.54
5.56


Na2O
mol. %
1.88
0.97
0.97
0.97
0.96
0.96
0.96
0.96


P2O5
mol. %
1.97
1.97
1.99
1.49
0.99
0
0
0


BaO
mol. %
0
0
0
0
0
2.67
2.68
1.67


SrO
mol. %
0
0
0
0
0
0.52
0.06
0.52


B2O3
mol. %
0
0
0
0
0
0.56
0.57
0.57


Y2O3
mol. %
0
0
0
0
0
0.72
0.73
0.72


SnO2
mol. %
0.10
0.10
0.10
0.10
0.10
0.12
0.11
0.11


TiO2
mol. %
0
0
0
0
0
0.02
0.03
0.02


Fe2O3
mol. %
0
0
0
0
0
0.01
0.01
0.01







Composition constraints
















CaO + SrO
mol. %
5.029
5.040
5.990
4.990
5.040
6.720
5.769
6.730


CaO + MgO
mol. %
9.379
9.360
10.28
9.769
9.880
11.72
11.25
11.77


Li2O + Na2O
mol. %
5.641
5.670
4.730
5.669
5.659
0.9600
0.9599
0.9601


Li2O + MgO
mol. %
8.110
9.020
8.050
9.479
9.540
5.521
5.538
5.561


MgO + ZnO
mol. %
4.349
4.320
4.290
4.780
4.841
5.521
5.538
5.561


ZrO2 + TiO2 +
mol. %
0
0
0
0
0
0.03000
0.04000
0.03000


FeO + Fe2O3







Measured properties
















α20-300 × 107
K−1
41.100
40.400
39.400
40.400
40.500





Str. P.
° C.
664
660
670
661
660


An. P.
° C.
716
711
722
710
711


791


Tsoft
° C.
966


T35 kP
° C.
1253
1240

1233
1237
1262
1277
1274


T200 P
° C.
1685
1671

1662
1663
1636
1653
1652


Tliq
° C.
1115
1165
1170
1160
1175
1210
1235
1205


E
GPa
83.020
83.570
83.710
84.390
85.020
85.840
85.700
86.050


G
GPa
34.270
34.410
34.480
34.750
34.890


E/dRT
GPa · cm3/g
34.260
34.520
34.460
34.760
34.960
32.900
33.000
33.500


dRT
g/cm3
2.423
2.421
2.429
2.428
2.432
2.610
2.595
2.571







Predicted and calculated properties
















Panort

6.9441
6.0061
6.9464
6.0057
6.0061
8.8396
7.9701
8.4187


Pcord

4.3007
4.3001
4.3002
4.8000
4.7991
5.4077
5.4589
5.4615


Pspod

3.7501
4.6876
3.7490
4.6891
4.6887
0
0
0


Pcrist

23.153
25.039
26.906
23.779
24.282
32.678
34.944
35.071


Pmod

0.64405
0.64939
0.64949
1.6474
2.1449
2.3223
1.3941
1.3349


PAl

4.6434
4.6484
4.6480
4.6466
4.1441
4.1495
3.2397
3.1816


Pspm [for E/dRT]
GPa · cm3/g
33.90
34.18
34.07
34.38
34.53
33.05
33.21
33.50


Panpt [for An. P.]
° C.
723.3
725.1
737.2
729.0
733.3
802.0
801.9
804.7


P160 kP [for T160 kP]
° C.
1181
1182
1193
1184
1191
1265
1272
1272


Pspm − (92.5 −

0.5605
0.8067
1.2564
1.1535
1.6179
3.7767
4.3127
4.6183


0.05 * P160 kP)


















Exemplary Glass
49
50
51
52
53
54
55
56










Composition - mol. %
















SiO2
mol. %
71.20
71.09
71.11
71.07
71.24
71.50
73.94
73.91


Al2O3
mol. %
12.48
12.33
12.23
12.27
12.27
12.25
12.16
12.18


Li2O
mol. %
3.80
3.79
3.64
3.79
3.78
3.75
4.00
3.99


CaO
mol. %
4.87
5.91
5.72
5.51
5.44
5.47
1.99
2.50


MgO
mol. %
4.68
4.81
4.60
4.43
4.35
4.42
3.97
3.46


Na2O
mol. %
1.85
0.95
0.76
0.97
0.97
0.95
2.89
2.89


P2O5
mol. %
0.99
0.99
0.99
0.99
0.99
0.70
0
0


B2O3
mol. %
0
0
0.81
0.84
0.83
0.82
0.80
0.81


K2O
mol. %
0.01
0.01
0.01
0.01
0.01
0.01
0.14
0.14


SnO2
mol. %
0.10
0.10
0.10
0.10
0.10
0.11
0.09
0.10


TiO2
mol. %
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01


Fe2O3
mol. %
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01







Composition constraints
















CaO + SrO
mol. %
4.871
5.910
5.721
5.509
5.441
5.470
1.990
2.500


CaO + MgO
mol. %
9.551
10.72
10.32
9.939
9.792
9.890
5.961
5.958


Li2O + Na2O
mol. %
5.650
4.741
4.400
4.760
4.752
4.700
6.890
6.879


Li2O + MgO
mol. %
8.480
8.600
8.241
8.220
8.132
8.169
7.971
7.448


MgO + ZnO
mol. %
4.681
4.809
4.601
4.430
4.351
4.419
3.970
3.459


ZrO2 + TiO2 +
mol. %
0.02000
0.02000
0.02001
0.02000
0.02000
0.02000
0.02000
0.02000


FeO + Fe2O3







Measured properties
















α20-300 × 107
K−1
41.500
39.800
37.400
38.400
38.100
37.600
40.900
41.700


Str. P.
° C.
665
675
668
664
665
666
659
659


An. P.
° C.
717
725
720
716
716
718
715
714


Tsoft
° C.
963
968
964
963
961
963
980
980


T35 kP
° C.
1239
1245
1241
1242
1241
1247
1286
1281


T200 P
° C.
1666
1666
1659
1662
1664
1674
1733
1728


Tliq
° C.
>1275
1190
1170
1155
1160
1190
1205
1165


E
GPa
84.530
85.360
84.330
84.190
84.190
84.600
82.530
82.530


G
GPa
34.820
35.030
34.610
34.540
34.540
34.750
34.200
34.130


E/dRT
GPa ·
34.760
34.970
34.700
34.690
34.700
34.840
34.490
34.450



cm3/g


dRT
g/cm3
2.432
2.441
2.430
2.427
2.426
2.428
2.393
2.396







Predicted and calculated properties
















Panort

6.7259
6.8653
6.4862
6.4844
6.4161
6.4253
4.9500
5.4589


Pcord

4.6808
4.8094
4.6014
4.4298
4.3506
4.4194
3.9704
3.4588


Pspod

3.7993
3.7905
3.6395
3.7905
3.7814
3.7499
4.0001
3.9897


Pcrist

23.399
26.324
28.988
27.935
28.474
28.748
25.856
26.134


Pmod

1.7434
2.1504
1.5072
1.4498
1.2944
1.6465
0.83248
0.79928


PAl

3.7235
4.1305
3.4875
3.4298
3.2743
3.0465
0.83248
0.79928


Pspm [for
GPa ·
34.29
34.44
34.33
34.29
34.29
34.38
34.18
34.11


E/dRT]
cm3/g


Panpt [for
° C.
732.8
745.4
739.8
734.5
734.8
737.9
711.3
711.4


An. P.]


P160 kP [for
° C.
1194
1202
1201
1196
1197
1201
1192
1192


T160 kP]


Pspm

1.4684
2.0544
1.8622
1.5844
1.6495
1.9442
1.2885
1.2018


(92.5 − 0.05 *


P160 kP)



















Exemplary Glass
57
58
59
60
61
62
63
64
65










Composition - mol. %

















SiO2
mol. %
73.98
73.74
73.22
68.62
68.50
68.59
68.79
68.88
68.93


Al2O3
mol. %
12.18
12.85
12.59
12.26
12.57
12.28
12.41
12.34
12.27


Li2O
mol. %
4.39
3.99
4.03
4.40
4.21
4.17
4.24
4.22
4.21


CaO
mol. %
2.00
2.01
1.99
5.26
5.36
5.02
5.53
5.33
5.06


MgO
mol. %
3.48
3.98
3.95
4.31
4.23
4.30
4.82
4.83
4.86


Na2O
mol. %
2.91
2.88
2.88
2.05
2.03
2.06
2.05
2.05
2.06


P2O5
mol. %
0
0
0
1.96
1.96
1.95
1.00
0.99
0.98


B2O3
mol. %
0.81
0
0.79
1.01
1.02
1.00
1.04
0.98
1.01


Y2O3
mol. %
0
0.30
0.30
0
0
0
0
0
0


ZnO
mol. %
0
0
0
8.00E−4
0
0.50
0
0.25
0.49


K2O
mol. %
0.14
0.14
0.14
0.011
0.011
0.011
0.0102
0.0109
0.0102


SnO2
mol. %
0.09
0.09
0.09
0.0972
0.0994
0.0995
0.10
0.0999
0.10


TiO2
mol. %
0.01
0.01
0.01
0.0065
0.0057
0.0049
0.0064
0.0056
0.0056


Fe2O3
mol. %
0.01
0.01
0.01
0.0138
0.0138
0.0134
0.014
0.014
0.0141







Composition constraints

















CaO +
mol. %
2.000
2.010
1.990
5.256
5.356
5.020
5.525
5.326
5.063


SrO


CaO +
mol. %
5.479
5.990
5.939
9.564
9.589
9.320
10.34
10.16
9.922


MgO


Li2O +
mol. %
7.298
6.869
6.910
6.448
6.241
6.236
6.290
6.276
6.261


Na2O


Li2O +
mol. %
7.868
7.969
7.979
8.711
8.445
8.474
9.054
9.054
9.064


MgO


MgO +
mol. %
3.479
3.980
3.949
4.309
4.233
4.796
4.816
5.081
5.354


ZnO


ZrO2 +
mol. %
0.01999
0.02000
0.02000
0.02028
0.01950
0.01830
0.02042
0.01965
0.01967


TiO2 +


FeO +


Fe2O3







Measured properties

















α20-300 ×
K−1
42.700
41.200
41.100
44.700
44.200
43.200
44.300
43.300
43.000


107


Str. P.
° C.
655
676
662
631
636
634
635
635
634


An. P.
° C.
709
730
716
680
686
683
684
684
683


Tsoft
° C.
976
988
975
927
927
927
925
922
923


T35 kP
° C.
1283
1286
1272
1207
1212
1214
1200
1200
1204


T200 P
° C.
1741
1723
1706
1642
1644
1642
1629
1626
1634


Tliq
° C.
1155
1210
1205


E
GPa
82.190
84.390
83.500
82.188
82.326
82.395
83.774
83.981
83.912


G
GPa
33.990
34.820
34.410
33.854
33.923
33.923
34.406
34.475
34.475


E/dRT
GPa ·
34.370
34.850
34.550
33.878
33.907
33.866
34.334
34.390
34.348



cm3/g


dRT
g/cm3
2.391
2.422
2.417
2.426
2.428
2.433
2.440
2.442
2.443







Predicted and calculated properties

















Panort

4.9792
4.9599
4.9397
7.3063
7.3912
7.0868
7.5816
7.3848
7.1238


Pcord

3.4789
3.9799
3.9490
4.3084
4.2331
4.2999
4.8162
4.8320
4.8593


Pspod

4.3891
3.9891
4.0297
4.4023
4.2117
4.1740
4.2381
4.2223
4.2047


Pcrist

25.434
25.700
25.132
17.391
18.110
18.669
16.380
16.873
17.437


Pmod

0.73767
−0.14829
0.09976
1.7981
1.3128
1.8309
3.2374
3.3593
3.4366


PAl

0.73767
0.63166
0.88001
5.7266
5.2259
5.7259
5.2288
5.3414
5.3934


Pspm [for
GPa ·
34.16
34.37
34.23
33.80
33.82
33.68
34.14
34.09
34.03


E/dRT]
cm3/g


Panpt [for
° C.
706.0
729.2
717.6
700.2
704.5
699.3
710.4
709.1
706.5


An. P.]


P160 kP
° C.
1187
1212
1199
1149
1155
1149
1159
1158
1156


[for


T160 kP]


Pspm

1.0202
2.4542
1.663
−1.263
−0.9322
−1.3887
−0.4037
−0.5173
−0.6790


(92.5 −


0.05 *


P160 kP)









Table 7 below lists the compositions and properties for Comparative Glasses C1-C5.









TABLE 7







Compositions and Properties of Comparative Example Glasses









Comparative Examples















C1
C2
C3
C4
C5


Reference

[1]
[2]
[3]
[4]
[3]










Composition - mol. %













SiO2
mol. %
69.10
71.64
63.85
68.73
65.06


Al2O3
mol. %
13.26
13.07
16.86
11.39
16.29


B2O3
mol. %
3.98
2.00
0
4.72
0


Na2O
mol. %
3.62
1.42
9.25
4.45
7.95


Li2O
mol. %
7.09
6.98
7.48
4.39
7.68


P2O5
mol. %
1.22
0
2.50
1.85
2.46


CaO
mol. %
0.81
0
0
0
0


MgO
mol. %
0.85
3.00
0
3.26
0.51


SnO2
mol. %
0.0473
0.10
0,049
0.17
0.0487


ZrO2
mol. %
0.0105
0
0
0.16
0


Fe2O3
mol. %
0.0041
0
0
0
0


ZnO
mol. %
0
1.80
0
0.40
0


Ce2O3
mol. %
0
0
0
0.096
0


K2O
mol. %
0
0
0
0.21
0


SiF4
mol. %
0
0
0
0.0883
0


TiO2
mol. %
0
0
0
0.0822
0







Measured properties













α20-300 × 107
K−1



60.000



Str. P.
° C.
572.00
613.00
608.00

606.00


An. P.
° C.
626.00
666.00
661.00

661.00


Tsoft
° C.


924.00
900.00
926.40


T160 kP
° C.


1138.3
1168.8
1139.6


T35 kP
° C.


1223.1
1283.3
1226.0


T200 P
° C.


1659.0
2008.0
1661.0


Tliq
° C.
1145.0
1280.0
1095.0
1100.0
1105.0


log(ηliq)
P
5.0810
4.1430
5.5850
5.6820
5.4990


E
GPa
75.700
82.600
77.400
73.000
77.800


G
GPa

34.130
32.000

32.100


E/dRT
GPa · cm3/g


32.160
30.290
32.420


dRT
g/cm3


2.407
2.410
2.400







Predicted and calculated properties













Pspm [for E/dRT]
GPa · cm3/g
41.04
41.59
41.70
38.24
42.03


Panpt [for An. P.]
° C.
639.0
689.8
612.5
624.5
625.9


P160 kP [for T160 kP]
° C.
1251
1305
1217
1209
1238









The reference key for each of the Comparative Glasses listed in Table 7 is as follows: [1] US2019127265; [2] US2020199019; [3] US2019161390; [4] US2020199013.


In some embodiments of the present disclosure, the glass articles can be formed from the melts with the fusion draw process at a viscosity that is close to 160 kP. To enable use of the fusion draw process, the temperature at which the viscosity of the glass is 160 KP (T160 kP) should be greater than or about equal to the liquidus temperature of glass. At the same time, to be suitable with the HAMR process, the glass should have a high specific modulus.


However, it has been empirically observed that for alumina-rich silicate glasses, it is difficult to achieve a high specific modulus together with a high T160 kP, while still keeping the liquidus temperature acceptably low to enable high volume manufacturing. Without being bound to a specific theory, it is hypothesized that this difficulty may be caused competing effects of different components on the liquidus temperature, high-temperature viscosity, and specific modulus. Components that increase the specific modulus (such as, for example, MgO, Li2O, TiO2, Y2O3, ZrO2 and others) tend to either decrease the high-temperature viscosity (as, for example, Li2O), increase the liquidus temperature (as, for example, MgO, TiO2, ZrO2), or both (as, for example, in the case of Y2O3), thus establishing a trade-off between the three attributes: specific modulus, liquidus temperature and T160 kP. To balance this trade-off, the glass compositions of some embodiments of the present disclosure contain the components in the combinations and proportions that are specified below.



FIG. 4 is a plot showing the relationship between P160 kP, the parameter that predicts T160 kP, and the specific modulus parameter Pspm for some of the Exemplary Glasses and some of the Comparative Glasses. The Exemplary Glasses (filled circles) are the Examples 7 to 29 from Table 6. The Comparative Glasses (open circles) are the Examples C1 and C2 from Table 7. P160 kP was determined according to Formula (XI). The parameter Pspm that predicts specific modulus was determined according to Formula (X). All of the Exemplary Glasses and Comparative Glasses shown in FIG. 4 have the features specified in Table 8. In Table 8, the specification “Not limited” refers to a limitation that was not considered when selecting the compositions.









TABLE 8







Limitations for glass compositions shown in FIG. 4












Quantity
Unit
Min
Max
















SiO2
mol. %
60
75



Al2O3
mol. %
10.5
18



CaO
mol. %
0
10



Li2O
mol. %
0
7.8



MgO
mol. %
0
4.3



ZrO2
mol. %
0
0.5



REmOn
mol. %
0
5



Pspm
GPa · cm3/g
25
Not limited



Pmod

−3
Not limited



Pcrist

Not limited
28



Panort

Not limited
10










The Comparative Glasses C1 and C2 depicted in FIG. 4 were selected from among the Comparative Glasses as having the highest specific modulus parameter Pspm with a value of P160 kP closest to the value of P160 kP of the Exemplary Glasses shown in FIG. 4.


The line corresponding to the formula Y=92.5−0.05*X shown in FIG. 4 (where Y represents Pspm and X represents P160 kP) provides a visual representation of the differences between the Comparative Glasses C1 and C2 and the Exemplary Glasses 7 to 29. As can be seen in FIG. 4, the Exemplary Glasses (filled circles) and none of the Comparative Glasses (open circles) represented in FIG. 4 fall above the line Y=92.5−0.05*X. In other words, all of the Exemplary Glasses and none of the Comparative Glasses represented in FIG. 4 satisfy the following formula (XII)(a):











P
spm

-

(

92.5
-

0.05
*

P

160


kp




)


>
0.





(
XII
)



(
a
)








As can also be seen in FIG. 4, some of Exemplary Glasses and none of the Comparative Glasses represented in FIG. 4 fall above the line Y=94-0.05*X, where Y corresponds to Pspm and x corresponds to P160 kP. In other words, some of the Exemplary Glasses and none of the Comparative Glasses represented in FIG. 4 satisfy the following formula (XII)(b):











P
spm

-

(

94.5
-

0.05
*

P

160


kp




)


>
0.





(
XII
)



(
b
)








The Exemplary Glasses represented in FIG. 4 are, by prediction, superior in terms of the combination of T160 kP and E/dRT to the best known Comparative Glasses that have the features specified in Table 8.



FIG. 5 is a plot showing the relationship between the temperature T160 kP, the temperature at which the glass has a viscosity of 160 kP, and the specific modulus E/dRT for some of the Exemplary Glasses and some of the Comparative Glasses. The Exemplary Glasses (filled circles) are the Examples 7 to 12, 15 and 39 from Table 6. The Comparative Glasses (open circles) are the Examples C3 to C5 from Table 7. All of the Exemplary Glasses and Comparative Glasses shown in FIG. 5 have the features specified in Table 9. In Table 9, the specification “Not limited” refers to a limitation that was not considered when selecting the compositions. In FIG. 5, some of the above-enumerated compositions may be labeled for better visibility, some others may not, and some more glasses may not be shown, which does not affect the further conclusions.









TABLE 9







Limitations for glass compositions shown in FIG. 5












Quantity
Unit
Min
Max
















SiO2
mol. %
60
75



Al2O3
mol. %
10.5
18



CaO
mol. %
0
10



Li2O
mol. %
0
7.8



MgO
mol. %
0
4.3



ZrO2
mol. %
0
0.5



REmOn
mol. %
0
5



E/d
GPa · cm3/g
25
Not limited



Pmod

−3
Not limited



Pcrist

Not limited
28



Panort

Not limited
10










The Comparative Glasses C3, C4, and C5 shown in FIG. 5 were selected from among the Comparative Glasses as having the highest measured values of the specific modulus E/dRT with a value of T160 kP closest to the value of T160 kP of the Exemplary Glasses shown in FIG. 5.


The line corresponding to the formula Y=92.5−0.05*X (where Y corresponds to E/dRT and X corresponds to T160 kP) shown in FIG. 5 provides a visual representation of the differences between the Comparative Glasses C3, C4, and C5 and the Exemplary Glasses 7 to 12, 15 and 39. As can be seen in FIG. 5, the all of the Exemplary Glasses (filled circles) and none of the Comparative Glasses (open circles) represented in FIG. 5 fall above the line Y=92.5−0.05*X. In other words, some of the Exemplary Glasses and none of the Comparative Glasses represented in FIG. 5 satisfy the following formula (XIII)(a):











E
/
d

-

(

92.5
-

0.05
*

T

160


kp




)


>
0.





(
XIII
)



(
a
)








As can also be seen in FIG. 5, some of the Exemplary Glasses and none of the Comparative Glasses represented in FIG. 5 fall above the line Y=94-0.05*X. In other words, some of the Exemplary Glasses and none of the Comparative Glasses represented in FIG. 5 satisfy the following formula (XIII)(b):











E
/

d
RT


-

(

92.5
-

0.05
*

T

160


kp




)


>
0.





(
XIII
)



(
b
)








The Exemplary Examples represented in FIG. 5 that satisfy the formula (XIII)(b) are characterized by the highest values of E/dRT at comparable values of T160 kP among the glasses that have the features specified in Table 9.


This means that, under the conditions specified in Table 9, some of the Exemplary Glasses have higher measured values of the specific modulus E/dRT at comparable measured values of the temperature T160 kP than the best of the Comparative Glasses satisfying the same conditions. The Exemplary Glasses, according to measurements, have higher values of E/dRT at comparable values of T160 kP than the best of the Comparative Glasses that have the features specified in Table 9.


The values of all attributes specified in Tables 8 and 9 and Formulas (XII)(a), (XII)(b), (XIII)(a) and (XIII)(b) for the Comparative Glasses C1 to C5 plotted in FIGS. 4 and 5 are presented in Table 10 below.









TABLE 10







Attributes of Comparative Example Glasses Having the Features of Tables 8 and 9












Ex. #
C1
C2
C3
C4
C5










Composition













Al2O3
mol. %
13.26
13.07
16.86
11.39
16.29


CaO
mol. %
0.81
0
0
0
0


Li2O
mol. %
7.10
6.98
7.47
4.39
7.68


REmOn
mol. %
0
0
0
0.0953
0


MgO
mol. %
0.85
3.00
0
3.26
0.51


ZrO2
mol. %
0.011
0
0
0.16
0







Measured properties













Pmod



−2.6347
−0.6289
−2.6044


Pcrist



−21.58
15.08
−14.68


Panort



9.2567
4.5523
7.9535


T160 kP
° C.


1138
1169
1140


E/d
GPa · cm3/g


32.16
30.29
32.42


E/d − (92.5 − 0.05 * T160 kP)



−3.4275
−3.769
−3.101


E/d − (94 − 0.05 * T160 kP)



−4.9275
−5.269
−4.601







Predicted and calculated properties













P160 kP

1097
1154
1047
1079
1063


Pspm

33.49
34.36
32.92
32.63
33.19


Pspm − (92.5 − 0.05 * P160 kP)

−4.1728
−0.4556
−7.2483
−5.9271
−6.1570


Pspm − (94 − 0.05 * P160 kP)

−5.6728
−1.9556
−8.7483
−7.4271
−7.6570









As follows from FIGS. 4 and 5, both predicted and measured property data confirms that some of the Exemplary Glasses have better combination of modifier-binding parameter Pmod, temperature T160 kP and specific modulus E/dRT than the best of the Comparative Glasses that have the features specified in Tables 8 and 9 accordingly.


The following non-limiting aspects are encompassed by the present disclosure. To the extent not already described, any one of the features of the first through the seventy-third aspect may be combined in part or in whole with features of any one or more of the other aspects of the present disclosure to form additional aspects, even if such a combination is not explicitly described.


According to a first aspect, the glass comprises a plurality of components, the glass having a composition of the components comprising greater than or equal to 60.0 mol. % and less than or equal to 75.0 mol. % SiO2, greater than or equal to 10.0 mol. % and less than or equal to 18.0 mol. % Al2O3, greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. % Li2O, greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. % Na2O, greater than or equal to 0.0 mol. % and less than or equal to 3.8 mol. % B2O3, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. % P2O5, greater than or equal to 0.0 mol. % and less than or equal to 2.0 mol. % ZnO, greater than or equal to 0.0 mol. % and less than or equal to 0.7 mol. % La2O3, greater than or equal to 0.0 at. % and less than or equal to 3.0 at. % F, a sum of CaO+MgO greater than or equal to 5.0 mol. %, a sum of Li2O+Na2O greater than or equal to 0.5 mol. %, a sum of Li2O+MgO greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. %, a sum of MgO+ZnO greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. %, a sum of CaO+SrO greater than or equal to 0.0 mol. % and less than or equal to 9.0 mol. % and a sum of ZrO2+TiO2+FeO+Fe2O3 greater than or equal to 0.0 mol. % and less than or equal to 1.5 mol. %, wherein the glass has an aluminum-binding parameter PAl that is greater than or equal to −2.8, a modifier-binding parameter Pmod that is less than or equal to 2.8 and an anorthite precipitation parameter Panort that is less than or equal to 10, where PAl is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P
Al

=



R
2


O

+

R

O

+


P
2



O
5


+

1.6
*

RE
m



O
n


-


Al
2



O
3




,




Pmod is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P

mo

d


=



R
2


O

+

R

O

-


Al
2



O
3


-


P
2



O
5


-


RE
m



O
n




,




Panort is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P
anort

=

min

(


CaO
+
SrO
+

0.5
*
BaO

+


Na
2


O

+

0.5
*

K
2


O


,


Al
2



O
3



)


,




where R2O is a total sum of monovalent metal oxides, RO is a total sum of divalent metal oxides, REmOn is a total sum of rare earth metal oxides in all redox states present, and an asterisk (*) means multiplication.


According to a second aspect, the glass of the first aspect, wherein the composition of the components comprises greater than or equal to 10.0 mol. % and less than or equal to 17.0 mol. % Al2O3, greater than or equal to 0.0 mol. % and less than or equal to 7.4 mol. % Li2O, greater than or equal to 0.0 mol. % and less than or equal to 4.8 mol. % Na2O, greater than or equal to 0.0 mol. % and less than or equal to 4.3 mol. % MgO, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. % B2O3, greater than or equal to 0.0 mol. % and less than or equal to 0.5 mol. % ZrO2, greater than or equal to 2.5 mol. % Alk2O, a sum of MgO+CaO+SrO+BaO+ZnO greater than or equal to 1.0 mol. %, wherein the composition of the components is substantially free of fluorine, and wherein PAl is less than or equal to 3.0, and modifier-binding parameter, Pmod is greater than or equal to −3.0, and where the glass has a cordierite precipitation parameter, Pcord that is less than or equal to 8.0 and a cristobalite precipitation parameter, Pcrist that is less than or equal to 28 where

    • Pcord is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P
cord

=

MgO
+
MnO
+
FeO


,






    • Pcrist is calculated from the glass composition in terms of mol. % of the components according to the following formula:











P
crist

=


SiO
2

-

6
*

(



Na
2


O

+


K
2


O


)


-

4
*

Li
2


O

-

2
*

(

CaO
+

S

r

O

+

B

a

O


)


-

2.5
*
MgO



,




where Alk2O is a total sum of alkali metal oxides.


According to a third aspect, the glass of any one of aspects 1-2, wherein the composition of the components comprises greater than or equal to 0.3 mol. % and less than or equal to 7.5 mol. % CaO, greater than or equal to 0.3 mol. % and less than or equal to 7.5 mol. % Li2O, greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. % MgO, greater than or equal to 0.0 mol. % and less than or equal to 0.5 mol. % SnO2 and greater than or equal to 0.0 mol. % and less than or equal to 0.3 mol. % Fe2O3.


According to a fourth aspect, the glass of aspect 1, wherein the composition of the components comprises one or more of the following components: greater than or equal to 63.9 mol. % and less than or equal to 74.4 mol. % SiO2, greater than or equal to 12.34 mol. % and less than or equal to 18.0 mol. % Al2O3, greater than or equal to 2.8 mol. % and less than or equal to 7.0 mol. % Li2O, greater than or equal to 1.4 mol. % and less than or equal to 5.6 mol. % CaO, greater than or equal to 0.4 mol. % and less than or equal to 4.4 mol. % MgO, greater than or equal to 0.4 mol. % and less than or equal to 4.4 mol. % Na2O, greater than or equal to 0.0 mol. % and less than or equal to 1.1 mol. % SrO, greater than or equal to 0.0 mol. % and less than or equal to 0.8 mol. % B2O3, greater than or equal to 0.0 mol. % and less than or equal to 0.7 mol. % BaO and greater than or equal to 0 mol. % and less than or equal to 0.55 mol. % Y2O3.


According to a fifth aspect, the glass of any one of aspects 1 and-4, wherein the composition of the components comprises greater than or equal to 64.5 mol. % and less than or equal to 74.4 mol. % SiO2, greater than or equal to 12.34 mol. % and less than or equal to 18.0 mol. % Al2O3, greater than or equal to 3.2 mol. % and less than or equal to 6.2 mol. % Li2O, greater than or equal to 1.9 mol. % and less than or equal to 5.0 mol. % CaO, greater than or equal to 1.0 mol. % and less than or equal to 4.0 mol. % MgO, greater than or equal to 0.9 mol. % and less than or equal to 4.0 mol. % Na2O, greater than or equal to 0 mol. % and less than or equal to 0.95 mol. % SrO, greater than or equal to 0.0 mol. % and less than or equal to 0.7 mol. % B2O3, greater than or equal to 0 mol. % and less than or equal to 0.625 mol. % BaO and greater than or equal to 0.0 mol. % and less than or equal to 0.5 mol. % Y2O3.


According to a sixth aspect, the glass of aspect 1, wherein the composition of the components comprises greater than or equal to 11.0 mol. % and less than or equal to 18.0 mol. % Al2O3, greater than or equal to 0.5 mol. % and less than or equal to 7.5 mol. % Li2O, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. % B2O3, greater than or equal to 0.0 mol. % and less than or equal to 0.5 mol. % ZrO2, greater than or equal to 0.5 mol. % Alk2O, greater than or equal to 0.0 at. % and less than or equal to 0.5 at. % F, a sum of MgO+CaO+SrO+BaO+ZnO greater than or equal to 0.5 mol. %, wherein the composition of the components satisfies the conditions: min(REmOn,P2O5) [mol. %]; 0.15, and wherein the glass has an annealing point An.P. that is greater than or equal to 680° C., a temperature at which the viscosity is 160 kP T160 kP that is greater than or equal to 1150° C., a specific modulus, E/dRT that is greater than or equal to 32 GPa·cm3/g, a cordierite precipitation parameter Pcord that is less than or equal to 5.0, a cristobalite precipitation parameter Pcrist that is less than or equal to 28 and a spodumene precipitation parameter Pspod that is less than or equal to 7.5, where E is a Young's modulus, dRT is a density, Pcord is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P

c

o

r

d




=

MgO
+

Mn

O

+

F

e

O




,




Pcrist is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P
crist

=


SiO
2

-

6
*

(



Na
2


O

+


K
2


O


)


-

4
*

Li
2


O

-

2
*

(

CaO
+

S

r

O

+

B

a

O


)


-

2.5
*
MgO



,




Pspod is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P

s

p

o

d


=

min

(



Li
2


O

,



Al
2



O
3


-


K
2


O

-

0.5
*

Na
2


O



)


,




where Alk2O is a total sum of alkali metal oxides.


According to a seventh aspect, the glass of any one of aspects 1-4, wherein the composition of the components comprises greater than or equal to 0.0 mol. % and less than or equal to 1.0 mol. % BaO and greater than or equal to 0.0 mol. % and less than or equal to 1.0 mol. % K2O, wherein the composition of the components is substantially free of fluorine and substantially free of PbO and wherein the composition of the components satisfies the conditions: 0.00≤min(REmOn,P2O5) [mol. %]≤0.30.


According to an eighth aspect, the glass of any one of aspects 1-7, wherein the glass has a logarithm of liquidus viscosity, log(ηliq [P]) that is greater than or equal to 5.0.


According to a ninth aspect, the glass of the eighth aspect, wherein the glass has a logarithm of liquidus viscosity, log(ηliq [P]) that is greater than or equal to 5.2.


According to a tenth aspect, the glass of any one of aspects 1-9, wherein the glass satisfies the condition: Panpt>710, where Panpt is an annealing point parameter, calculated from the glass composition in terms of mol. % of the components according to the Formula (I):










P

a

n

p

t


=

664.7
+

5
.2303
*

SiO
2


-

11.493
*

B
2



O
3


-


7.1742
*

P
2



O
5


+

8.398
*

ZrO
2


-

2.0585
*
MgO

-

2.1088
*
CaO

-

3.8995
*
BaO

-

10.323
*
ZnO

-

9.0727
*
MnO

-

23.455
*

Li
2


O

-

33.819
*

Na
2


O

-

25.204
*

K
2


O

+

15.745
*

Y
2



O
3


+

8.9047
*

La
2



O
3


-

33.96
*

(



Fe
2



O
3


+
FeO

)


-

5.6704
*

(



R
2


O

+

R

O

-


Al
2



O
3



)


-

4.2545
*

(


SiO
2

-

(

6
*

(



K
2


O

+

6
*

Na
2


O

+

4
*

Li
2


O

+

2
*

R

O



)


)

-


19.439
*

Cu
2


O

.









(
I
)







According to an eleventh aspect, the glass of any one of aspects 1-10, wherein the glass has an annealing point An.P. that is greater than or equal to 710° C.


According to a twelfth aspect, the glass of the eleventh aspect, wherein the annealing point An.P. is greater than or equal to 730° C.


According to a thirteenth aspect, the glass of any one of aspects 1-12, wherein the glass has a cordierite precipitation parameter, Pcord that is less than or equal to 5.0, a cristobalite precipitation parameter, Pcrist that is less than or equal to 28 and a spodumene precipitation parameter, Pspod that is less than or equal to 7.5, where Pcord is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P

c

o

r

d


=

MgO
+
MnO
+
FeO


,




Pcrist is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P
crist

=


SiO
2

-

6
*

(



Na
2


O

+


K
2


O


)


-

4
*

Li
2


O

-

2
*

(

CaO
+

S

r

O

+

B

a

O


)


-

2.5
*
MgO



,




Pspod is calculated from the glass composition in terms of mol. % of the components according to the following formula:







P

s

p

o

d


=


min

(



Li
2


O

,



Al
2



O
3


-


K
2


O

-

0.5
*

Na
2


O



)

.





According to a fourteenth aspect, the glass of any one of aspects 1-13, wherein the glass satisfies the condition: Pspm>32, where Pspm is a specific modulus parameter, calculated from the glass composition in terms of mol. % of the components according to the Formula (II):










P

s

p

m


=

32.1
+

0
.47744
*

SiO
2


-

1
.6506
*

Al
2



O
3


-


0.11775
*

B
2



O
3


-

0
.30166
*

P
2



O
5


+

0.20187
*

TiO
2


+

0
.20219
*

ZrO
2


+

0.96268
*
MgO

+

0.83379
*
CaO

+

0.53685
*
SrO

+

0.41218
*
BaO

+

0.63264
*
ZnO

+

0
.75365
*
MnO

+

0.62984
*
CuO

-

1.2496
*

Na
2


O

-

1
.5154
*

K
2


O

+

1.4746
*

Cu
2


O

-


0
.
0


37941
*

Y
2



O
3


-

0
.75836
*

La
2



O
3


-

1.8052
*

(



R
2


O

+

R

O

-


Al
2



O
3



)


-

0.47488
*


(


SiO
2

-

(


6
*

K
2


O

+

6
*

Na
2


O

+

4
*

Li
2


O

+

2
*

R

O



)


)

.







(
II
)







According to a fifteenth aspect, the glass of any one of aspects 1-14, wherein the glass has specific modulus E/dRT that is greater than or equal to 32 GPa·cm3/g, where E is a Young's modulus and dRT is a density.


According to a sixteenth aspect, the glass of the fifteenth aspect, wherein the specific modulus E/dRT is greater than or equal to 33 GPa·cm3/g.


According to a seventeenth aspect, the glass of the sixteenth aspect, wherein the specific modulus E/dRT is greater than or equal to 34 GPa·cm3/g.


According to an eighteenth aspect, the glass of the seventeenth aspect, wherein the specific modulus E/dRT is greater than or equal to 35 GPa·cm3.


According to a nineteenth aspect, the glass of any one of aspects 1-18, wherein the glass satisfies the conditions P160 kP>1150, where P160 kP is a parameter predicting the temperature at which the glass has a viscosity of 160 kP, calculated from the glass composition in terms of mol. % of the components according to the Formula (III):











P

1

6

0

k

P


=


1058


+


2.5492
*

SiO
2




-


25.725
*

Al
2



O
3




-

11.327
*

B
2



O
3








-


10.014
*

P
2



O
5


-

14.309
*

TiO
2


-

11.594
*

ZrO
2


+

30.559
*
MgO

+

29.29
*
CaO

+

30.592
*
SrO

+

30.079
*
BaO

+

23.323
*
ZnO

+

19.724
*
MnO

+

11.888
*
PbO

+

11.462
*
CuO

+

17.09
*

Li
2


O

+

16.475
*

Na
2


O

+

11.386
*

K
2


O

+

14.422
*

Y
2



O
3


-

36.909
*

La
2



O
3


-

34.144
*

(



Fe
2



O
3


+

F

e

O


)


-

35.001
*

(



R
2


O

+

R

O

-


Al
2



O
3



)




,




(
III
)







According to a twentieth aspect, the glass of any one of aspects 1-19, wherein the glass has temperature T160 kP at which the glass has a viscosity of 160 kP that is greater than or equal to 1150° C.


According to a twenty-first aspect, the glass of the twentieth aspect, wherein the temperature T160 kP is greater than or equal to 1200° C.


According to a twenty-second aspect, the glass of any one of aspects 1-21, wherein the glass has an average linear thermal expansion coefficient over a temperature range 20-300° C. α20-300×107 that is less than or equal to 40 K−1.


According to a twenty-third aspect, the glass of any one of aspects 1-22, wherein the glass has a temperature T200 P at which the glass has a viscosity of 200 P that is less than or equal to 1700° C.


According to a twenty-fourth aspect, the glass of the twenty-third aspect, wherein the temperature T200 P is less than or equal to 1650° C.


According to a twenty-fifth aspect, the glass of any one of aspects 1-24, wherein PAl is greater than or equal to −2.0 and Pmod is less than or equal to 2.0.


According to a twenty-sixth aspect, the glass comprises a plurality of components, the glass having a composition of the components comprising greater than or equal to 60.0 mol. % and less than or equal to 80.0 mol. % SiO2, greater than or equal to 10.0 mol. % and less than or equal to 18.0 mol. % Al2O3, greater than or equal to 0.5 mol. % and less than or equal to 7.5 mol. % Li2O, greater than or equal to 0.0 mol. % and less than or equal to 0.5 mol. % ZrO2, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. % REmOn, greater than or equal to 0.0 at. % and less than or equal to 0.5 at. % F and may optionally contain one or more components selected from P2O5, B2O3, MgO, CaO, BaO, ZnO, MnO, Na2O, K2O, Fe2O3, FeO, Cu2O, Rb2O, Ag2O, Cs2O, Au2O, Hg2O, Tl2O, BeO, CoO, NiO, CuO, SrO, CdO, SnO, PbO and TiO2, wherein the composition of the components satisfies the conditions: 0.00≤min(REmOn,P2O5) [mol. %]≤0.30, and wherein the glass has a cristobalite precipitation parameter Pcrist that is less than or equal to 28, an anorthite precipitation parameter Panort that is less than or equal to 10, a cordierite precipitation parameter Pcord that is less than or equal to 5.0 and a spodumene precipitation parameter Pspod that is less than or equal to 7.5, where

    • Pcrist is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P
crist

=


SiO
2

-

6
*

(



Na
2


O

+


K
2


O


)


-

4
*

Li
2


O

-

2
*

(

CaO
+

S

r

O

+

B

a

O


)


-

2.5
*
MgO



,






    • Panort is calculated from the glass composition in terms of mol. % of the components according to the following formula:











P
anort

=

min
(


CaO
+

Sr

O

+

0.5
*
BaO

+

N


a
2


O

+

0.5
*

K
2


O


,


Al
2



O
3



)


,






    • Pcord is calculated from the glass composition in terms of mol. % of the components according to the following formula:











P

c

o

r

d


=

MgO
+

M

n

O

+
FeO


,






    • Pspod is calculated from the glass composition in terms of mol. % of the components according to the following formula:











P

s

p

o

d


=

min

(



Li
2


O

,



Al
2



O
3


-


K
2


O

-

0.5
*

Na
2


O



)


,




and wherein the glass satisfies the conditions: Pspm>32, Panpt>680 and P160 kP>1150, where Panpt is an annealing point parameter, calculated from the glass composition in terms of mol. % of the components according to the Formula (I):










P

a

n

p

t


=

664.7
+

5
.2303
*

SiO
2


-

11.493
*

B
2



O
3


-


7.1742
*

P
2



O
5


+

8.398
*

ZrO
2


-

2.0585
*
MgO

-

2.1088
*
CaO

-

3.8995
*
BaO

-

10.323
*
ZnO

-

9.0727
*
MnO

-

23.455
*

Li
2


O

-

33.819
*

Na
2


O

-

25.204
*

K
2


O

+

15.745
*

Y
2



O
3


+

8.9047
*

La
2



O
3


-

33.96
*

(



Fe
2



O
3


+
FeO

)


-

5.6704
*

(



R
2


O

+

R

O

-


Al
2



O
3



)


-

4.2545
*

(



SiO
2

-

(

6
*

(



K
2


O

+

6
*

Na
2


O

+

4
*

Li
2


O

+

2
*

R

O



)


)

-

19.439
*

Cu
2


O


,








(
I
)







Pspm is a specific modulus parameter, calculated from the glass composition in terms of mol. % of the components according to the Formula (II):











P
spm

=


32.1

+


0.47744
*

SiO
2




-

1.6506
*

Al
2



O
3






-


0.11775
*

B
2



O
3


-

0.30166
*

P
2



O
5


+

0.20187
*

TiO
2


+

0.20219
*

ZrO
2


+

0.96268
*
MgO

+

0.83379
*
CaO

+

0.53685
*
SrO

+

0.41218
*
BaO

+

0.63264
*
ZnO

+

0.75365
*
MnO

+

0.62984
*
CuO

-

1.2496
*

Na
2


O

-

1.5154
*

K
2


O

+

1.4746
*

Cu
2


O

-

0.037941
*

Y
2



O
3


-

0.75836
*

La
2



O
3


-

1.8052
*

(



R
2


O

+

R

O

-


Al
2



O
3



)


-

0.47488
*

(


SiO
2

-

(


6
*

K
2


O

+

6
*

Na
2


O

+

4
*

Li
2


O

+

2
*

R

O



)


)




,




(
II
)







P160 kP is a parameter predicting the temperature at which the glass has a viscosity of 160 kP, calculated from the glass composition in terms of mol. % of the components according to the Formula (III):











P

160

kp


=

1058
+

2.5492
*

SiO
2


-

25.725
*

Al
2



O
3


-

11.327
*

B
2



O
3


-

10.014
*

P
2



O
5


-

14.309
*

TiO
2


-

11.594
*

ZrO
2


+

30.559
*
MgO

+

29.29
*
CaO

+

30.592
*
SrO

+

30.079
*
BaO

+

23.323
*
ZnO

+

19.724
*
MnO

+

11.888
*
PbO

+

11.462
*
CuO

+

17.09
*

Li
2


O

+

16.475
*

Na
2


O

+

11.386
*

K
2


O

+

14.422
*

Y
2



O
3


-

36.909
*

La
2



O
3


-

34.144
*

(



Fe
2



O
3


+
FeO

)


-

35.001
*

(



R
2


O

+

R

O

-


Al
2



O
3



)




,




(
III
)







where R2O is a total sum of monovalent metal oxides, RO is a total sum of divalent metal oxides, REmOn is a total sum of rare earth metal oxides in all redox states present, and an asterisk (*) means multiplication.


According to a twenty-seventh aspect, the glass of the twenty-sixth aspect, wherein the glass has a Young's modulus E at room temperature, a density dRT at room temperature, a specific modulus, E/dRT that is greater than or equal to 32 GPa·cm3/g, an annealing point, An.P. that is greater than or equal to 680° C. and a temperature T160 kP at which the glass has a viscosity of 160 kP that is greater than or equal to 1150° C.


According to a twenty-eighth aspect, the glass of any one of aspects 26-27, wherein the composition of the components comprises greater than or equal to 60.0 mol. % and less than or equal to 75.0 mol. % SiC2, greater than or equal to 10.0 mol. % and less than or equal to 17.0 mol. % Al2O3, greater than or equal to 0.5 mol. % and less than or equal to 7.4 mol. % Li2O, greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. % CaO, greater than or equal to 0.0 mol. % and less than or equal to 4.8 mol. % Na2O, greater than or equal to 0.0 mol. % and less than or equal to 4.3 mol. % MgO, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. % B2O3, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. % TiC2, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. % ZnO, greater than or equal to 2.5 mol. % Alk2O, a sum of MgO+CaO+SrO+BaO+ZnO greater than or equal to 1.0 mol. %, wherein the composition of the components is substantially free of fluorine, and wherein the glass has an aluminum-binding parameter PAl that is less than or equal to 3.0 and a modifier-binding parameter Pmod that is greater than or equal to −3.0, where PAl is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P
Al

=



R
2


O

+

R

O

+


P
2



O
5


+

1.6
*

RE
m



O
n


-


Al
2



O
3




,




and Pmod is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P
mod

=



R
2


O

+

R

O

-


Al
2



O
3


-


P
2



O
5


-


RE
m



O
n




,




where Alk2O is a total sum of alkali metal oxides.


According to a twenty-ninth aspect, the glass of any one of aspects 26-27, wherein the composition of the components comprises greater than or equal to 60.0 mol. % and less than or equal to 75.0 mol. % SiO2, greater than or equal to 0.3 mol. % and less than or equal to 7.5 mol. % CaO, greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. % MgO, greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. % Na2O, greater than or equal to 0.0 mol. % and less than or equal to 4.0 mol. % P2O5, greater than or equal to 0.0 mol. % and less than or equal to 0.5 mol. % SnO2 and greater than or equal to 0.0 mol. % and less than or equal to 0.3 mol. % Fe2O3.


According to a thirtieth aspect, the glass of any one of aspects 26-27 and 29, wherein the composition of the components comprises one or more of the following components: greater than or equal to 63.9 mol. % and less than or equal to 74.4 mol. % SiO2, greater than or equal to 12.34 mol. % and less than or equal to 18.0 mol. % Al2O3, greater than or equal to 2.8 mol. % and less than or equal to 7.0 mol. % Li2O, greater than or equal to 1.4 mol. % and less than or equal to 5.6 mol. % CaO, greater than or equal to 0.4 mol. % and less than or equal to 4.4 mol. % MgO, greater than or equal to 0.4 mol. % and less than or equal to 4.4 mol. % Na2O, greater than or equal to 0.0 mol. % and less than or equal to 3.4 mol. % P2O5, greater than or equal to 0.0 mol. % and less than or equal to 1.1 mol. % SrO, greater than or equal to 0.0 mol. % and less than or equal to 0.8 mol. % B2O3, greater than or equal to 0.0 mol. % and less than or equal to 0.7 mol. % BaO and greater than or equal to 0 mol. % and less than or equal to 0.550 mol. % Y2O3.


According to a thirty-first aspect, the glass of any one of aspects 26, 27, and 29-30, wherein the composition of the components comprises greater than or equal to 64.5 mol. % and less than or equal to 74.4 mol. % SiO2, greater than or equal to 12.34 mol. % and less than or equal to 18.0 mol. % Al2O3, greater than or equal to 3.2 mol. % and less than or equal to 6.2 mol. % Li2O, greater than or equal to 1.9 mol. % and less than or equal to 5.0 mol. % CaO, greater than or equal to 1.0 mol. % and less than or equal to 4.0 mol. % MgO, greater than or equal to 0.9 mol. % and less than or equal to 4.0 mol. % Na2O, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. % P2O5, greater than or equal to 0 mol. % and less than or equal to 0.95 mol. % SrO, greater than or equal to 0.0 mol. % and less than or equal to 0.7 mol. % B2O3, greater than or equal to 0 mol. % and less than or equal to 0.625 mol. % BaO and greater than or equal to 0.0 mol. % and less than or equal to 0.5 mol. % Y2O3.


According to a thirty-second aspect, the glass of any one of aspects 26, 27, and 29, wherein the composition of the components comprises greater than or equal to 60.0 mol. % and less than or equal to 75.0 mol. % SiO2, greater than or equal to 11.0 mol. % and less than or equal to 18.0 mol. % Al2O3, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. % B2O3, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. % TiO2, greater than or equal to 0.5 mol. % Alk2O, greater than or equal to 0.5 mol. % MgO+CaO+SrO+BaO+ZnO and wherein the composition of the components satisfies the conditions min(REmOn,P2O5) [mol. %]≤0.15, where Alk2O is a total sum of alkali metal oxides.


According to a thirty-third aspect, the glass of any one of aspects 26-29, wherein the composition of the components comprises greater than or equal to 0.0 mol. % and less than or equal to 1.0 mol. % BaO and greater than or equal to 0.0 mol. % and less than or equal to 1.0 mol. % K2O, wherein the composition of the components is substantially free of fluorine and substantially free of PbO and wherein the composition of the components satisfies the conditions: 0.00 min(REmOn,P2O5) [mol. %]≤0.30.


According to a thirty-fourth aspect, the glass of any one of aspects 26-33, wherein the glass has a logarithm of liquidus viscosity, log(ηliq [P]) that is greater than or equal to 5.0.


According to a thirty-fifth aspect, the logarithm of liquidus viscosity, log(ηliq [P]) is greater than or equal to 5.2.


According to a thirty-sixth aspect, the glass of any one of aspects 26-35, wherein Panpt>710.


According to a thirty-seventh aspect, the glass of any one of aspects 26-36, wherein the glass has an annealing point An.P. that is greater than or equal to 710° C.


According to a thirty-eighth aspect, the glass of the thirty-seventh aspect, wherein the annealing point An.P. is greater than or equal to 730° C.


According to a thirty-ninth aspect, the glass of any one of aspects 26-38, wherein Pspm>33.


According to a fortieth aspect, the glass of any one of aspects 26-39, wherein the glass has specific modulus, E/dRT that is greater than or equal to 33 GPa·cm3/g, where E is a Young's modulus and dRT is a density.


According to a forty-first aspect, the glass of the fortieth aspect, wherein the specific modulus E/dRT is greater than or equal to 34 GPa·cm3/g.


According to a forty-second aspect, the glass of any one of aspects 26-41, wherein the glass satisfies the conditions: P160 kP>1200, where P160 kP is a parameter predicting a temperature at which the glass has a viscosity of 160 kP, calculated from the glass composition in terms of mol. % of the components according to the Formula (III):










P

160

kp


=

1058
+

2.5492
*

SiO
2


-

25.725
*

Al
2



O
3


-

11.327
*

B
2



O
3


-

10.014
*

P
2



O
5


-

14.309
*

TiO
2


-

11.594
*

ZrO
2


+

30.559
*
MgO

+

29.29
*
CaO

+

30.592
*
SrO

+

30.079
*
BaO

+

23.323
*
ZnO

+

19.724
*
MnO

+

11.888
*
PbO

+

11.462
*
CuO

+

17.09
*

Li
2


O

+

16.475
*

Na
2


O

+

11.386
*

K
2


O

+

14.422
*

Y
2



O
3


-

36.909
*

La
2



O
3


-

34.144
*

(



Fe
2



O
3


+
FeO

)


-

35.001
*


(



R
2


O

+

R

O

-


Al
2



O
3



)

.







(
III
)







According to a forty-third aspect, the glass of any one of aspects 26-42, wherein the glass has a temperature T160 kP at which the glass has a viscosity of 160 kP that is greater than or equal to 1200° C.


According to a forty-fourth aspect, the glass of any one of aspects 26-43, wherein the glass has an average linear thermal expansion coefficient over a range of temperature from 20-300° C. α20-300×107 that is less than or equal to 40 K−1.


According to a forty-fifth aspect, the glass of any one of aspects 26-44, wherein the glass has a temperature T200 P at which the glass has a viscosity of 200 P that is less than or equal to 1700° C.


According to a forty-sixth aspect, the glass of the forty-fifth aspect, wherein the temperature T200 P is less than or equal to 1650° C.


According to a forty-seventh aspect, the glass of any one of aspects 26-46, wherein the glass has an aluminum-binding parameter PAl that is greater than or equal to −2.0 and a modifier-binding parameter Pmod that is less than or equal to 2.0, where PAl is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P
Al

=



R
2


O

+

R

O

+


P
2



O
5


+

1.6
*

RE
m



O
n


-


Al
2



O
3




,




and Pmod is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P
mod

=



R
2


O

+

R

O

-


Al
2



O
3


-


P
2



O
5


-


RE
m



O
n




,




According to a forty-eighth aspect, the glass comprises a plurality of components, the glass having a composition of the components comprising greater than or equal to 60.0 mol. % and less than or equal to 75.0 mol. % SiO2, greater than or equal to 10.5 mol. % and less than or equal to 18.0 mol. % Al2O3, greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. % CaO, greater than or equal to 0.0 mol. % and less than or equal to 7.8 mol. % Li2O, greater than or equal to 0.0 mol. % and less than or equal to 4.3 mol. % MgO, greater than or equal to 0.0 mol. % and less than or equal to 0.5 mol. % ZrO2, greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. % REmOn and may optionally contain one or more components selected from B2O3, P2O5, TiO2, SrO, BaO, ZnO, MnO, CuO, Na2O, K2O, Cu2O, Rb2O, Ag2O, Cs2O, Au2O, Hg2O, Tl2O, BeO, FeO, CoO, NiO, CdO, SnO, PbO and Fe2O3, wherein the glass has a cristobalite precipitation parameter Pcrist that is less than or equal to 28, an anorthite precipitation parameter Panort that is less than or equal to 10 and a modifier-binding parameter Pmod that is greater than or equal to −3.0, where

    • Pcrist is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P
crist

=


SiO
2

-

6
*

(



Na
2


O

+


K
2


O


)


-

4
*

Li
2


O

-

2
*

(

CaO
+
SrO
+
BaO

)


-

2.5
*
MgO



,






    • Panort is calculated from the glass composition in terms of mol. % of the components according to the following formula:











P
anort

=

min

(


CaO
+
SrO
+

0.5
*
BaO

+


Na
2


O

+

0.5
*

K
2


O


,


Al
2



O
3



)


,






    • Pmod is calculated from the glass composition in terms of mol. % of the components according to the following formula:











P
mod

=



R
2


O

+

R

O

-


Al
2



O
3


-


P
2



O
5


-


RE
m



O
n




,




and wherein the glass satisfies the condition: Pspm−(92.5−0.05*P160 kP)>0.000, where Pspm is a specific modulus parameter, calculated from the glass composition in terms of mol. % of the components according to the Formula (II):











P
spm

=


32.1

+


0.47744
*

SiO
2




-

1.6506
*

Al
2



O
3






-


0.11775
*

B
2



O
3


-

0.30166
*

P
2



O
5


+

0.20187
*

TiO
2


+

0.20219
*

ZrO
2


+

0.96268
*
MgO

+

0.83379
*
CaO

+

0.53685
*
SrO

+

0.41218
*
BaO

+

0.63264
*
ZnO

+

0.75365
*
MnO

+

0.62984
*
CuO

-

1.2496
*

Na
2


O

-

1.5154
*

K
2


O

+

1.4746
*

Cu
2


O

-

0.037941
*

Y
2



O
3


-

0.75836
*

La
2



O
3


-

1.8052
*

(



R
2


O

+

R

O

-


Al
2



O
3



)


-

0.47488
*

(


SiO
2

-

(


6
*

K
2


O

+

6
*

Na
2


O

+

4
*

Li
2


O

+

2
*

R

O



)


)




,




(
II
)







P160 kP is a parameter predicting a temperature at which a viscosity of the glass is 160 kP, calculated from the glass composition in terms of mol. % of the components according to the Formula (III):











P

160

kp


=

1058
+

2.5492
*

SiO
2


-

25.725
*

Al
2



O
3


-

11.327
*

B
2



O
3


-

10.014
*

P
2



O
5


-

14.309
*

TiO
2


-

11.594
*

ZrO
2


+

30.559
*
MgO

+

29.29
*
CaO

+

30.592
*
SrO

+

30.079
*
BaO

+

23.323
*
ZnO

+

19.724
*
MnO

+

11.888
*
PbO

+

11.462
*
CuO

+

17.09
*

Li
2


O

+

16.475
*

Na
2


O

+

11.386
*

K
2


O

+

14.422
*

Y
2



O
3


-

36.909
*

La
2



O
3


-

34.144
*

(



Fe
2



O
3


+
FeO

)


-

35.001
*

(



R
2


O

+

R

O

-


Al
2



O
3



)




,




(
III
)







where R2O is a total sum of monovalent metal oxides, RO is a total sum of divalent metal oxides, REmOn is a total sum of rare earth metal oxides in all redox states present, and an asterisk (*) means multiplication.


According to a forty-ninth aspect, the glass of the forty-eighth aspect, wherein the glass satisfies the conditions E/dRT−(92.5−0.05*T160 kP)>0.000, where E/dRT [GPa·cm3/g] is a specific modulus, E is a Young's modulus, dRT is a density, T160 kP is a temperature at which the glass has a viscosity of 160 kP.


According to a fiftieth aspect, the glass of any one of aspects 48-49, wherein the composition of the components comprises greater than or equal to 10.5 mol. % and less than or equal to 17.0 mol. % Al2O3, greater than or equal to 0.0 mol. % and less than or equal to 7.4 mol. % Li2O, greater than or equal to 0.0 mol. % and less than or equal to 4.8 mol. % Na2O, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. % B2O3, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. % TiO2, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. % ZnO, greater than or equal to 2.5 mol. % Alk2O, a sum of MgO+CaO+SrO+BaO+ZnO greater than or equal to 1.0 mol. %, wherein the composition of the components is substantially free of fluorine, and wherein the glass has an aluminum-binding parameter PAl that is less than or equal to 3.0 and a cordierite precipitation parameter Pcord that is less than or equal to 8.0, where PAl is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P
Al

=



R
2


O

+

R

O

+


P
2



O
5


+

1.6
*

RE
m



O
n


-


Al
2



O
3




,




and Pcord is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P
cord

=

MgO
+
MnO
+
FeO


,




where Alk2O is a total sum of alkali metal oxides.


According to a fifty-first aspect, the glass of any one of aspects 48-49, wherein the composition of the components comprises greater than or equal to 0.3 mol. % and less than or equal to 7.5 mol. % CaO, greater than or equal to 0.3 mol. % and less than or equal to 7.5 mol. % Li2O, greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. % Na2O, greater than or equal to 0.0 mol. % and less than or equal to 4.0 mol. % P2O5, greater than or equal to 0.0 mol. % and less than or equal to 0.5 mol. % SnO2 and greater than or equal to 0.0 mol. % and less than or equal to 0.3 mol. % Fe2O3.


According to a fifty-second aspect, the glass of any one of aspects 48-49 and 51, wherein the composition of the components comprises one or more of the following components: greater than or equal to 63.9 mol. % and less than or equal to 74.4 mol. % SiO2, greater than or equal to 12.34 mol. % and less than or equal to 18.0 mol. % Al2O3, greater than or equal to 2.8 mol. % and less than or equal to 7.0 mol. % Li2O, greater than or equal to 1.4 mol. % and less than or equal to 5.6 mol. % CaO, greater than or equal to 0.4 mol. % and less than or equal to 4.4 mol. % Na2O, greater than or equal to 0.4 mol. % and less than or equal to 4.3 mol. % MgO, greater than or equal to 0.0 mol. % and less than or equal to 3.4 mol. % P2O5, greater than or equal to 0.0 mol. % and less than or equal to 1.1 mol. % SrO, greater than or equal to 0.0 mol. % and less than or equal to 0.8 mol. % B2O3, greater than or equal to 0.0 mol. % and less than or equal to 0.7 mol. % BaO and greater than or equal to 0 mol. % and less than or equal to 0.550 mol. % Y2O3.


According to a fifty-third aspect, the glass of any one of aspects 48-49 and 51-52, wherein the composition of the components comprises greater than or equal to 64.5 mol. % and less than or equal to 74.5 mol. % SiO2, greater than or equal to 12.34 mol. % and less than or equal to 18.0 mol. % Al2O3, greater than or equal to 3.2 mol. % and less than or equal to 6.2 mol. % Li2O, greater than or equal to 1.9 mol. % and less than or equal to 5.0 mol. % CaO, greater than or equal to 1.0 mol. % and less than or equal to 4.0 mol. % MgO, greater than or equal to 0.9 mol. % and less than or equal to 4.0 mol. % Na2O, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. % P2O5, greater than or equal to 0 mol. % and less than or equal to 0.95 mol. % SrO, greater than or equal to 0.0 mol. % and less than or equal to 0.7 mol. % B2O3, greater than or equal to 0 mol. % and less than or equal to 0.625 mol. % BaO and greater than or equal to 0.0 mol. % and less than or equal to 0.5 mol. % Y2O3.


According to a fifty-fourth aspect, the glass of any one of aspects 48, 49, and 51, wherein the composition of the components comprises greater than or equal to 11.0 mol. % and less than or equal to 18.0 mol. % Al2O3, greater than or equal to 0.5 mol. % and less than or equal to 7.5 mol. % Li2O, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. % B2O3, greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. % TiO2, greater than or equal to 0.5 mol. % Alk2O, greater than or equal to 0.0 at. % and less than or equal to 0.5 at. % F, a sum of MgO+CaO+SrO+BaO+ZnO greater than or equal to 0.5 mol. %, wherein the composition of the components satisfies the condition: min(REmOn,P2O5) [mol. %]K 0.15, and wherein the glass has an annealing point An.P. that is greater than or equal to 680° C., a temperature corresponding to the at which the glass has a viscosity of 160 kP T160 kP that is greater than or equal to 1150° C., a Young's modulus E, a density dRT, a specific modulus E/dRT that is greater than or equal to 32 GPa·cm3/g, a cordierite precipitation parameter Pcord that is less than or equal to 5.0 and a spodumene precipitation parameter Pspod that is less than or equal to 7.5, where Pcord is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P
cord

=

MgO
+
MnO
+
FeO


,




and Pspod is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P
spod

=

min

(



Li
2


O

,



Al
2



O
3


-


K
2


O

-

0.5
*

Na
2


O



)


,




where Alk2O is a total sum of alkali metal oxides.


According to a fifty-fifth aspect, the glass of any one of aspects 48-52 and 54, wherein the composition of the components comprises greater than or equal to 0.0 mol. % and less than or equal to 1.0 mol. % BaO and greater than or equal to 0.0 mol. % and less than or equal to 1.0 mol. % K2O, wherein the composition of the components is substantially free of fluorine and substantially free of PbO and wherein the composition of the components satisfies the conditions: 0.00 min(REmOn,P2O5) [mol. %]≤0.30.


According to a fifty-sixth aspect, the glass of any one of aspects 48-55, wherein the glass has a logarithm of liquidus viscosity log(ηliq [P]) that is greater than or equal to 5.0.


According to a fifty-seventh aspect, the glass of the fifty-sixth aspect, wherein the logarithm of liquidus viscosity log(ηliq [P]) is greater than or equal to 5.2.


According to a fifty-eighth aspect, the glass of any one of aspects 48-57, wherein the glass satisfies the condition: Panpt>710, where Panpt is annealing point parameter, calculated from the glass composition in terms of mol. % of the components according to the Formula (I):











P
anpt

=

664.7
+

5.2303
*

SiO
2


-

11.493
*

B
2



O
3


-

7.1742
*

P
2



O
5


+

8.398
*

ZrO
2


-

2.0585
*
MgO

-

2.1088
*
CaO

-

3.8995
*
BaO

-

10.323
*
ZnO

-

9.0727
*
MnO

-

23.455
*

Li
2


O

-

33.819
*

Na
2


O

-

25.204
*

K
2


O

+

15.745
*

Y
2



O
3


+

8.9047
*

La
2



O
3


-

33.96
*

(



Fe
2



O
3


+
FeO

)


-

5.6704
*

(



R
2


O

+
RO
-


Al
2



O
3



)


-

4.2545
*

(


SiO
2

-

(


6
*

K
2


O

+

6
*

Na
2


O

+

4
*

Li
2


O

+

2
*
RO


)


)


-

19.439
*

Cu
2


O



,




(
I
)







According to a fifty-ninth aspect, the glass of any one of aspects 48-58, wherein the glass has annealing point An.P. that is greater than or equal to 710° C.


According to a sixtieth aspect, the glass of the fifty-ninth aspect, wherein the annealing point An.P. is greater than or equal to 730° C.


According to a sixty-first aspect, the glass of any one of aspects 48-60, wherein the glass has cordierite precipitation parameter, Pcord that is less than or equal to 5.0 and spodumene precipitation parameter, Pspod that is less than or equal to 7.5, where Pcord is a value of cordierite precipitation parameter, calculated from the glass composition in terms of mol. % of the components according to the following formula:








P
cord

=

MgO
+
MnO
+
FeO


,




Pspod is a value of spodumene precipitation parameter, calculated from the glass composition in terms of mol. % of the components according to the following formula:







P
spod

=


min

(



Li
2


O

,



Al
2



O
3


-


K
2


O

-

0.5
*

Na
2


O



)

.





According to a sixty-second aspect, the glass of any one of aspects 48-61, wherein Pspm>32.


According to a sixty-third aspect, the glass of any one of aspects 48-62, wherein the glass has a specific modulus E/dRT that is greater than or equal to 32 GPa·cm3/g, where E is a Young's modulus and dRT is a density.


According to a sixty-fourth aspect, the glass of the sixty-third aspect, wherein the specific modulus E/dRT is greater than or equal to 33 GPa·cm3/g.


According to a sixty-fifth aspect, the glass of the sixty-fourth aspect, wherein the specific modulus, E/dRT is greater than or equal to 34 GPa·cm3/g.


According to a sixty-sixth aspect, the glass of the sixty-fifth aspect, wherein the specific modulus E/dRT is greater than or equal to 35 GPa·cm3/g.


According to a sixty-seventh aspect, the glass of any one of aspects 48-66, wherein P160 kP>1150.


According to a sixty-eighth aspect, the glass of any one of aspects 48-67, wherein the glass has a temperature T160 kP at which the viscosity of the glass is 160 kP that is greater than or equal to 1150° C.


According to a sixty-ninth aspect, the glass of the sixty-eighth aspect, wherein the temperature T160 kP is greater than or equal to 1200° C.


According to a seventieth aspect, the glass of any one of aspects 48-69, wherein the glass has an average linear thermal expansion coefficient over a temperature range from 20-300° C. α20-300×107 that is less than or equal to 40 K−1.


According to a seventy-first aspect, the glass of any one of aspects 48-70, wherein the glass has a temperature T200 P at which the glass has a viscosity of 200 P that is less than or equal to 1700° C.


According to a seventy-second aspect, the glass of the seventy-first aspect, wherein the temperature T200 P is less than or equal to 1650° C.


According to a seventy-third aspect, the glass of any one of aspects 48-72, wherein the glass has an aluminum-binding parameter PAl that is greater than or equal to −2.0 and a modifier-binding parameter Pmod that is less than or equal to 2.0, where PAl is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P
Al

=



R
2


O

+
RO
+


P
2



O
5


+

1.6
*

RE
m



O
n


-


Al
2



O
3




,




and Pmod is calculated from the glass composition in terms of mol. % of the components according to the following formula:








P
mod

=



R
2


O

+
RO
-


Al
2



O
3


-


P
2



O
5


-


RE
m



O
n




,




Many variations and modifications may be made to the above-described embodiments of the disclosure without departing substantially from the spirit and various principles of the disclosure. All such modifications and variations are intended to be included herein within the scope of this disclosure and protected by the following claims.


To the extent not already described, the different features of the various aspects of the present disclosure may be used in combination with each other as desired. That a particular feature is not explicitly illustrated or described with respect to each aspect of the present disclosure is not meant to be construed that it cannot be, but it is done for the sake of brevity and conciseness of the description. Thus, the various features of the different aspects may be mixed and matched as desired to form new aspects, whether or not the new aspects are expressly disclosed.

Claims
  • 1. A glass comprising a plurality of components, the glass having a composition of the components comprising: greater than or equal to 60.0 mol. % and less than or equal to 75.0 mol. % SiO2,greater than or equal to 10.0 mol. % and less than or equal to 18.0 mol. % Al2O3,greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. % Li2O,greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. % Na2O,greater than or equal to 0.0 mol. % and less than or equal to 3.8 mol. % B2O3,greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. % P2O5,greater than or equal to 0.0 mol. % and less than or equal to 2.0 mol. % ZnO,greater than or equal to 0.0 mol. % and less than or equal to 0.7 mol. % La2O3,greater than or equal to 0.0 at. % and less than or equal to 3.0 at. % F,a sum of CaO+MgO greater than or equal to 5.0 mol. %,a sum of Li2O+Na2O greater than or equal to 0.5 mol. %,a sum of Li2O+MgO greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. %,a sum of MgO+ZnO greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. %,a sum of CaO+SrO greater than or equal to 0.0 mol. % and less than or equal to 9.0 mol. %, anda sum of ZrO2+TiO2+FeO+Fe2O3 greater than or equal to 0.0 mol. % and less than or equal to 1.5 mol. %,
  • 2. The glass of claim 1, wherein the composition of the components comprises: greater than or equal to 0.3 mol. % and less than or equal to 7.5 mol. % CaO,greater than or equal to 0.3 mol. % and less than or equal to 7.5 mol. % Li2O,greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. % MgO,greater than or equal to 0.0 mol. % and less than or equal to 0.5 mol. % SnO2, andgreater than or equal to 0.0 mol. % and less than or equal to 0.3 mol. % Fe2O3.
  • 3. The glass of claim 1, wherein the glass has a logarithm of liquidus viscosity log(□liq [P]) that is greater than or equal to 5.0.
  • 4. The glass of claim 1, wherein the glass has a cordierite precipitation parameter Pcord that is less than or equal to 5.0,a cristobalite precipitation parameter Pcrist that is less than or equal to 28 andspodumene precipitation parameter Pspod that is less than or equal to 7.5,
  • 5. The glass of claim 1, wherein the glass satisfies the condition: Pspm>32,
  • 6. The glass of claim 1, wherein the glass satisfies the condition: P160 kP>1150,
  • 7. The glass of claim 1, wherein the glass has a temperature T200 P at which the glass has a viscosity of 200 Poise that is less than or equal to 1700 □C.
  • 8. A glass comprising a plurality of components, the glass having a composition of the components comprising: greater than or equal to 60.0 mol. % and less than or equal to 80.0 mol. % SiO2,greater than or equal to 10.0 mol. % and less than or equal to 18.0 mol. % Al2O3,greater than or equal to 0.5 mol. % and less than or equal to 7.5 mol. % Li2O,greater than or equal to 0.0 mol. % and less than or equal to 0.5 mol. % ZrO2,greater than or equal to 0.0 mol. % and less than or equal to 3.0 mol. % REmOn,greater than or equal to 0.0 at. % and less than or equal to 0.5 at. % F andoptionally comprising one or more components selected from P2O5, B2O3, MgO, CaO, BaO, ZnO, MnO, Na2O, K2O, Fe2O3, FeO, Cu2O, Rb2O, Ag2O, Cs2O, Au2O, Hg2O, Tl2O, BeO, CoO, NiO, CuO, SrO, CdO, SnO, PbO and TiO2,
  • 9. The glass of claim 8, wherein Pcrist is less than or equal to 28,Panort is less than or equal to 10,Pcord is less than or equal to 5.0,Pspod is less than or equal to 7.5,
  • 10. The glass of claim 8, wherein the composition of the components comprises: greater than or equal to 60.0 mol. % and less than or equal to 75.0 mol. % SiO2,greater than or equal to 0.3 mol. % and less than or equal to 7.5 mol. % CaO,greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. % MgO,greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. % Na2O,greater than or equal to 0.0 mol. % and less than or equal to 4.0 mol. % P2O5,greater than or equal to 0.0 mol. % and less than or equal to 0.5 mol. % SnO2 andgreater than or equal to 0.0 mol. % and less than or equal to 0.3 mol. % Fe2O3.
  • 11. The glass of claim 8, wherein the glass has a logarithm of liquidus viscosity log(□liq [P]) that is greater than or equal to 5.0.
  • 12. The glass of claim 8, wherein Pspm>33.
  • 13. The glass of claim 8, wherein the glass has a temperature T200 P at which the glass has a viscosity of 200 Poise that is less than or equal to 1700 □C.
  • 14. A glass comprising a plurality of components, the glass having a composition of the components comprising: greater than or equal to 60.0 mol. % and less than or equal to 75.0 mol. % SiO2,greater than or equal to 10.5 mol. % and less than or equal to 18.0 mol. % Al2O3,greater than or equal to 0.0 mol. % and less than or equal to 10.0 mol. % CaO,greater than or equal to 0.0 mol. % and less than or equal to 7.8 mol. % Li2O,greater than or equal to 0.0 mol. % and less than or equal to 4.3 mol. % MgO,greater than or equal to 0.0 mol. % and less than or equal to 0.5 mol. % ZrO2,greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. % REmOn andoptionally comprising one or more components selected from B2O3, P2O5, TiO2, SrO, BaO, ZnO, MnO, CuO, Na2O, K2O, Cu2O, Rb2O, Ag2O, Cs2O, Au2O, Hg2O, Tl2O, BeO, FeO, CoO, NiO, CdO, SnO, PbO and Fe2G3,
  • 15. The glass of claim 14, wherein Pcrist is less than or equal to 28,Panort is less than or equal to 10 andPmod is greater than or equal to −3.0 and
  • 16. The glass of claim 14, wherein the composition of the components comprises: greater than or equal to 0.3 mol. % and less than or equal to 7.5 mol. % CaO,greater than or equal to 0.3 mol. % and less than or equal to 7.5 mol. % Li2O,greater than or equal to 0.0 mol. % and less than or equal to 5.0 mol. % Na2O,greater than or equal to 0.0 mol. % and less than or equal to 4.0 mol. % P2O5,greater than or equal to 0.0 mol. % and less than or equal to 0.5 mol. % SnO2 andgreater than or equal to 0.0 mol. % and less than or equal to 0.3 mol. % Fe2O3.
  • 17. The glass of claim 14, wherein the glass has a logarithm of liquidus viscosity, log(□liq [P]) that is greater than or equal to 5.0.
  • 18. The glass of claim 14, wherein the glass has a cordierite precipitation parameter Pcord that is less than or equal to 5.0 anda spodumene precipitation parameter Pspod that is less than or equal to 7.5
  • 19. The glass of claim 14, wherein Pspm>32.
  • 20. The glass of claim 14, wherein the glass has a temperature T200 P at which the glass has a viscosity of 200 Poises that is less than or equal to 1700 □C.
Priority Claims (1)
Number Date Country Kind
2030965 Feb 2022 NL national
CROSS-REFERENCE TO RELATED APPLICATION

This application claims the benefit of priority under 35 U.S.C. § 119 of U.S. Provisional Application Ser. No. 63/308,130 filed on Feb. 9, 2022 and Netherlands Application No. 2030965 filed on Feb. 16, 2022, the contents of each of which are relied upon and incorporated herein by reference in their entireties.

PCT Information
Filing Document Filing Date Country Kind
PCT/US2023/011496 1/25/2023 WO
Provisional Applications (1)
Number Date Country
63308130 Feb 2022 US