GLASS COMPOSITIONS WITH HIGH CENTRAL TENSION CAPABILITY

Abstract

A glass composition is provided that is capable of being ion exchanged to produce high central tension values. The glass composition includes SiO2, Li2O, and CaO. Glass-based articles formed by ion-exchanging glass-based substrates formed from the glass composition are also provided. The glass-based articles are characterized by a maximum central tension of greater than or equal to 150 MPa, and this maximum central tension value may be achieved by ion exchanging in a sodium containing molten salt bath. The glass-based articles may be utilized in consumer electronic devices.

Description

BACKGROUND

Field

The present specification generally relates to glass compositions suitable for use as cover glass for electronic devices. More specifically, the present specification is directed to aluminosilicate glasses that may be formed into cover glass for electronic devices.

Technical Background

The mobile nature of portable devices, such as smart phones, tablets, portable media players, personal computers, and cameras, makes these devices particularly vulnerable to accidental dropping on hard surfaces, such as the ground. These devices typically incorporate cover glasses, which may become damaged upon impact with hard surfaces. In many of these devices, the cover glasses function as display covers, and may incorporate touch functionality, such that use of the devices is negatively impacted when the cover glasses are damaged.

There are two major failure modes of cover glass when the associated portable device is dropped on a hard surface. One of the modes is flexure failure, which is caused by bending of the glass when the device is subjected to dynamic load from impact with the hard surface. The other mode is sharp contact failure, which is caused by introduction of damage to the glass surface. Impact of the glass with rough hard surfaces, such as asphalt, granite, etc., can result in sharp indentations in the glass surface. These indentations become failure sites in the glass surface from which cracks may develop and propagate.

Glass can be made more resistant to flexure failure by the ion-exchange technique, which involves inducing compressive stress in the glass surface. However, the ion-exchanged glass will still be vulnerable to dynamic sharp contact, owing to the high stress concentration caused by local indentations in the glass from the sharp contact.

It has been a continuous effort for glass makers and handheld device manufacturers to improve the resistance of handheld devices to sharp contact failure. Solutions range from coatings on the cover glass to bezels that prevent the cover glass from impacting the hard surface directly when the device drops on the hard surface. However, due to the constraints of aesthetic and functional requirements, it is very difficult to completely prevent the cover glass from impacting the hard surface.

It is also desirable that portable devices be as thin as possible. Accordingly, in addition to strength, it is also desired that glasses to be used as cover glass in portable devices be made as thin as possible. Thus, in addition to increasing the strength of the cover glass, it is also desirable for the glass to have mechanical characteristics that allow it to be formed by processes that are capable of making thin glass articles, such as thin glass sheets.

Accordingly, a need exists for glasses that can be strengthened, such as by ion exchange, and that have the mechanical properties that allow them to be formed as thin glass articles.

SUMMARY

According to aspect (1), a glass-based article is provided. The glass-based article included: a compressive stress region extending from a surface to a depth of compression; a maximum central tension of greater than or equal to 150 MPa; a composition at a center of the glass-based article comprising: greater than or equal to 30 mol % SiO₂; greater than or equal to 10 mol % to less than or equal to 25 mol % Li₂O; greater than or equal to 0 mol % to less than or equal to 17 mol % CaO; greater than or equal to 0 mol % to less than or equal to 3 mol % K₂O; and greater than or equal to 0 mol % to less than or equal to 14 mol % B₂O₃. According to aspect (2), the glass-based article of aspect (1) is provided, wherein the composition at the center comprises greater than or equal to 0 mol % to less than or equal to 11 mol % B₂O₃.

According to aspect (3), the glass-based article of aspect (1) or (2) is provided, wherein the composition at the center comprises at least one of: less than or equal to 57.5 mol % SiO₂; greater than or equal to 1 mol % SrO; and greater than 0 mol % to less than or equal to 5 mol % B₂O₃.

According to aspect (4), the glass-based article of any of aspects (1) to (3) is provided, wherein the composition at the center is characterized by SiO₂+B₂O₃+Al₂O₃+CaO+SrO+Li₂O+Na₂O+K₂O being greater than or equal to 99.7 mol %.

According to aspect (5), the glass-based article of any of aspects (1) to (4) is provided, wherein the maximum central tension is greater than or equal to 200 MPa.

According to aspect (6), the glass-based article of any of aspects (1) to (5) is provided, wherein the maximum central tension is greater than or equal to 300 MPa.

According to aspect (7), the glass-based article of any of aspects (1) to (6) is provided, comprising a compressive stress of greater than or equal to 500 MPa.

According to aspect (8), the glass-based article of any of aspects (1) to (7) is provided, wherein the depth of compression is greater than or equal to 0.15t, wherein t is a thickness of the glass-based article.

According to aspect (9), the glass-based article of any of aspects (1) to (8) is provided, comprising a parabolic stress profile.

According to aspect (10), a consumer electronic product is provided. The consumer electronic product includes: a housing comprising a front surface, a back surface and side surfaces; electrical components at least partially within the housing, the electrical components comprising a controller, a memory, and a display, the display at or adjacent the front surface of the housing; and a cover disposed over the display, wherein at least a portion of at least one of the housing or the cover comprises the glass-based article of any of aspects (1) to (9).

According to aspect (11), a method is provided. The method includes: contacting a glass-based substrate with an ion exchange salt to form a glass-based article; wherein: the glass-based article comprises a compressive stress region extending from a surface to a depth of compression and a maximum central tension of greater than or equal to 150 MPa; the ion exchange salt comprises sodium; and the glass-based substrate comprises: greater than or equal to 30 mol % SiO₂; greater than or equal to 10 mol % to less than or equal to 25 mol % Li₂O; greater than or equal to 0 mol % to less than or equal to 17 mol % CaO; greater than or equal to 0 mol % to less than or equal to 3 mol % K₂O; and greater than or equal to 0 mol % to less than or equal to 14 mol % B₂O₃.

According to aspect (12), the method of aspect (11) is provided, wherein the glass-based substrate comprises greater than or equal to 0 mol % to less than or equal to 11 mol % B₂O₃.

According to aspect (13), the method of aspect (11) or (12) is provided, wherein the glass-based substrate comprises at least one of: less than or equal to 57.5 mol % SiO₂; greater than or equal to 1 mol % SrO; and greater than 0 mol % to less than or equal to 5 mol % B₂O₃.

According to aspect (14), the method of any of aspects (11) to (13) is provided, wherein the glass-based substrate is characterized by SiO₂+B₂O₃+Al₂O₃+CaO+SrO+Li₂O+Na₂O+K₂O being greater than or equal to 99.7 mol %.

According to aspect (15), the method of any of aspects (11) to (14) is provided, wherein the maximum central tension is greater than or equal to 200 MPa.

According to aspect (16), the method of any of aspects (11) to (15) is provided, wherein the maximum central tension is greater than or equal to 300 MPa.

According to aspect (17), the method of any of aspects (11) to (16) is provided, wherein the compressive stress region comprises a compressive stress of greater than or equal to 500 MPa.

According to aspect (18), the method of any of aspects (11) to (17) is provided, wherein the depth of compression is greater than or equal to 0.15t, wherein t is a thickness of the glass-based article.

According to aspect (19), the method of any of aspects (11) to (18) is provided, wherein the glass-based article comprises a parabolic stress profile.

According to aspect (20), the method of any of aspects (11) to (19) is provided, wherein the ion exchange salt comprises NaNO₃.

According to aspect (21), the method of any of aspects (11) to (20) is provided, wherein the ion exchange salt comprises 100 wt % NaNO₃.

According to aspect (22), the method of any of aspects (11) to (20) is provided, wherein the ion exchange salt is a molten salt bath at a temperature of greater than or equal to 380° C. to less than or equal to 480° C.

According to aspect (23), the method of any of aspects (11) to (21) is provided, wherein the contacting extends for a time period of less than or equal to 16 hours.

According to aspect (24), a glass is provided. The glass includes: greater than or equal to 30 mol % SiO₂; greater than or equal to 10 mol % to less than or equal to 25 mol % Li₂O; greater than or equal to 0.5 mol % to less than or equal to 17 mol % CaO; greater than or equal to 0 mol % to less than or equal to 3 mol % K₂O; greater than or equal to 0 mol % to less than or equal to 11 mol % B₂O₃; and at least one of: less than or equal to 57.5 mol % SiO₂; greater than or equal to 1 mol % SrO; and greater than 0 mol % to less than or equal to 5 mol % B₂O₃; wherein SiO₂+B₂O₃+Al₂O₃+CaO+SrO+Li₂O+Na₂O+K₂O is greater than or equal to 99.7 mol %.

According to aspect (25), the glass of aspect (24) is provided, comprising less than or equal to 57.5 mol % SiO₂.

According to aspect (26), the glass of aspect (24) or (25) is provided, comprising greater than or equal to 1 mol % SrO.

According to aspect (27), the glass of any of aspects (24) to (26) is provided, comprising greater than 0 mol % to less than or equal to 5 mol % B₂O₃.

According to aspect (28), the glass of any of aspects (24) to (27) is provided, comprising greater than or equal to 43 mol % to less than or equal to 65 mol % SiO₂.

According to aspect (29), the glass of any of aspects (24) to (28) is provided, comprising greater than or equal to 15 mol % to less than or equal to 26 mol % Al₂O₃.

According to aspect (30), the glass of any of aspects (24) to (29) is provided, comprising greater than or equal to 0 mol % to less than or equal to 14 mol % MgO.

According to aspect (31), the glass of any of aspects (24) to (30) is provided, comprising greater than or equal to 0 mol % to less than or equal to 10 mol % SrO.

According to aspect (32), the glass of any of aspects (24) to (31) is provided, comprising greater than or equal to 0 mol % to less than or equal to 5 mol % BaO.

According to aspect (33), the glass of any of aspects (24) to (32) is provided, comprising greater than or equal to 10 mol % to less than or equal to 24 mol % Li₂O.

According to aspect (34), the glass of any of aspects (24) to (33) is provided, comprising greater than or equal to 0.5 mol % to less than or equal to 9 mol % Na₂O.

According to aspect (35), the glass of any of aspects (24) to (34) is provided, comprising greater than or equal to 0 mol % to less than or equal to 1 mol % K₂O.

According to aspect (36), the glass of any of aspects (24) to (35) is provided, comprising greater than or equal to 0 mol % to less than or equal to 1 mol % TiO₂.

According to aspect (37), the glass of any of aspects (24) to (36) is provided, wherein the glass has a fracture toughness of greater than or equal to 0.75 MPa√m.

According to aspect (38), the glass of any of aspects (24) to (37) is provided, wherein the glass has a Young's modulus of greater than or equal to 80 GPa.

According to aspect (39), the glass of any of aspects (24) to (38) is provided, wherein the glass exhibits a maximum central tension of greater than or equal to 150 MPa when ion exchanged in a 100 wt % NaNO₃ molten salt bath for a time period of less than or equal to 16 hours.

Additional features and advantages will be set forth in the detailed description which follows, and in part will be readily apparent to those skilled in the art from that description or recognized by practicing the embodiments described herein, including the detailed description which follows, the claims, as well as the appended drawings.

It is to be understood that both the foregoing general description and the following detailed description describe various embodiments and are intended to provide an overview or framework for understanding the nature and character of the claimed subject matter. The accompanying drawings are included to provide a further understanding of the various embodiments, and are incorporated into and constitute a part of this specification. The drawings illustrate the various embodiments described herein, and together with the description serve to explain the principles and operations of the claimed subject matter.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 schematically depicts a cross section of a glass having compressive stress layers on surfaces thereof according to embodiments disclosed and described herein;

FIG. 2A is a plan view of an exemplary electronic device incorporating any of the glass articles disclosed herein; and

FIG. 2B is a perspective view of the exemplary electronic device of FIG. 2A.

DETAILED DESCRIPTION

Reference will now be made in detail to lithium aluminosilicate glasses according to various embodiments. Lithium aluminosilicate glasses have good ion exchangeability, and chemical strengthening processes have been used to achieve high strength and high toughness properties in lithium aluminosilicate glasses. The substitution of Al₂O₃ into the silicate glass network increases the interdiffusivity of monovalent cations during ion exchange. By chemical strengthening in a molten salt bath (e.g., KNO₃ or NaNO₃), glasses with high strength, high toughness, and high indentation cracking resistance can be achieved. The stress profiles achieved through chemical strengthening may have a variety of shapes that increase the drop performance, strength, toughness, and other attributes of the glass articles.

Therefore, lithium aluminosilicate glasses with good physical properties, chemical durability, and ion exchangeability have drawn attention for use as cover glass. In particular, lithium containing aluminosilicate glasses which have the ability to be ion exchanged to high central tension values, are provided herein. A common failure mode for cover glass is a drop on to a rough surface, and the amount of stored energy in an ion exchanged glass article is positively correlated to fracture resistance when dropped on a rough surface. The amount of stored energy may be characterized by the maximum central tension (CT) value of the ion exchanged glass article, with higher CT values indicating higher amounts of stored energy. At high stored energies, and thereby CT values, the glass articles may be rendered frangible. However, if the frangible behavior is properly controlled such that it does not pose a risk to the user, glass articles with high CT values and improved mechanical performance may be produced. The glass compositions described herein are capable of forming ion exchanged glass articles with high CT values and stored energies that exhibit highly frangible behavior and improved mechanical performance. The high CT values, greater than or equal to 150 MPa, of the glass articles described herein allow the glass articles to perform better in repeated drops and on rough surface drops than existing glass articles with lower CT values, while exhibiting similar smooth surface drop performance.

In embodiments of glass compositions described herein, the concentration of constituent components (e.g., SiO₂, Al₂O₃, Li₂O, and the like) are given in mole percent (mol %) on an oxide basis, unless otherwise specified. Components of the lithium aluminosilicate glass composition according to embodiments are discussed individually below. It should be understood that any of the variously recited ranges of one component may be individually combined with any of the variously recited ranges for any other component. As used herein, a trailing 0 in a number is intended to represent a significant digit for that number. For example, the number “1.0” includes two significant digits, and the number “1.00” includes three significant digits.

As utilized herein, a “glass substrate” refers to a glass piece that has not been ion exchanged. Similarly, a “glass article” refers to a glass piece that has been ion exchanged and is formed by subjecting a glass substrate to an ion exchange process. A “glass-based substrate” and a “glass-based article” are defined accordingly and include glass substrates and glass articles as well as substrates and articles that are made wholly or partly of glass, such as glass substrates that include a surface coating. While glass substrates and glass articles are generally referred to herein for the sake of convenience, the descriptions of glass substrates and glass articles should be understood to apply equally to glass-based substrates and glass-based articles.

Disclosed herein are lithium aluminosilicate glass compositions that exhibit a high central tension capability when ion exchanged under appropriate conditions.

In embodiments of the alkali aluminosilicate glass compositions disclosed herein, SiO₂ is the largest constituent and, as such, SiO₂ is the primary constituent of the glass network formed from the glass composition. Pure SiO₂ has a relatively low CTE and is alkali free. However, pure SiO₂ has a high melting point. Accordingly, if the concentration of SiO₂ in the glass composition is too high, the formability of the glass composition may be diminished as higher concentrations of SiO₂ increase the difficulty of melting the glass, which, in turn, adversely impacts the formability of the glass. In embodiments, the glass composition comprises SiO₂ in amounts greater than or equal to 30.0 mol %, such as greater than or equal to 31.0 mol %, greater than or equal to 32.0 mol %, greater than or equal to 33.0 mol %, greater than or equal to 34.0 mol %, greater than or equal to 35.0 mol %, greater than or equal to 36.0 mol %, greater than or equal to 37.0 mol %, greater than or equal to 38.0 mol %, greater than or equal to 39.0 mol %, greater than or equal to 40.0 mol %, greater than or equal to 41.0 mol %, greater than or equal to 42.0 mol %, greater than or equal to 43.0 mol %, greater than or equal to 44.0 mol %, greater than or equal to 45.0 mol %, greater than or equal to 46.0 mol %, greater than or equal to 47.0 mol %, greater than or equal to 48.0 mol %, greater than or equal to 49.0 mol %, greater than or equal to 50.0 mol %, greater than or equal to 51.0 mol %, greater than or equal to 52.0 mol %, greater than or equal to 53.0 mol %, greater than or equal to 54.0 mol %, greater than or equal to 55.0 mol %, greater than or equal to 56.0 mol %, or greater than or equal to 57.0 mol %. In embodiments, the glass composition comprises SiO₂ in amounts less than or equal to 57.5 mol %, such as less than or equal to 57.0 mol %, less than or equal to 56.0 mol %, less than or equal to 55.0 mol %, less than or equal to 54.0 mol %, less than or equal to 53.0 mol %, less than or equal to 52.0 mol %, less than or equal to 51.0 mol %, less than or equal to 50.0 mol %, less than or equal to 49.0 mol %, less than or equal to 48.0 mol %, less than or equal to 47.0 mol %, less than or equal to 46.0 mol %, less than or equal to 45.0 mol %, less than or equal to 44.0 mol %, less than or equal to 43.0 mol %, less than or equal to 42.0 mol %, less than or equal to 41.0 mol %, less than or equal to 40.0 mol %, less than or equal to 39.0 mol %, less than or equal to 38.0 mol % less than or equal to 37.0 mol %, less than or equal to 36.0 mol %, less than or equal to 35.0 mol %, less than or equal to 34.0 mol %, less than or equal to 33.0 mol %, less than or equal to 32.0 mol %, or less than or equal to 31.0 mol %. It should be understood that, in embodiments, any of the above ranges may be combined with any other range, such that the glass composition comprises SiO₂ in an amount from greater than or equal to 30.0 mol % to less than or equal to 57.5 mol %, such as from greater than or equal to 31.0 mol % to less than or equal to 57.0 mol %, from greater than or equal to 32.0 mol % to less than or equal to 56.0 mol %, from greater than or equal to 33.0 mol % to less than or equal to 55.0 mol %, from greater than or equal to 34.0 mol % to less than or equal to 54.0 mol %, from greater than or equal to 35.0 mol % to less than or equal to 53.0 mol %, from greater than or equal to 36.0 mol % to less than or equal to 52.0 mol %, from greater than or equal to 37.0 mol % to less than or equal to 51.0 mol %, from greater than or equal to 38.0 mol % to less than or equal to 50.0 mol %, from greater than or equal to 39.0 mol % to less than or equal to 49.0 mol %, from greater than or equal to 40.0 mol % to less than or equal to 48.0 mol %, from greater than or equal to 41.0 mol % to less than or equal to 47.0 mol %, from greater than or equal to 42.0 mol % to less than or equal to 46.0 mol %, from greater than or equal to 43.0 mol % to less than or equal to 45.0 mol %, from greater than or equal to 43.0 mol % to less than or equal to 44.0 mol %, from greater than or equal to 43.0 mol % to less than or equal to 65.0 mol %, and all ranges and sub-ranges between the foregoing values.

The glass composition of embodiments includes 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 composition when the amount of Al₂O₃ is too high. However, 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 enhancing the liquidus viscosity and improving the compatibility of the glass composition with certain forming processes. The inclusion of Al₂O₃ in the glass compositions enables high fracture toughness values and increases the amount of stress imparted by ion exchange. In embodiments, the glass composition comprises Al₂O₃ in amounts greater than 15 mol %, such as greater than or equal to 15.5 mol %, greater than or equal to 16.0 mol %, greater than or equal to 16.5 mol %, greater than or equal to 17.0 mol %, greater than or equal to 17.5 mol %, greater than or equal to 18.0 mol %, greater than or equal to 18.5 mol %, greater than or equal to 19.0 mol %, greater than or equal to 19.5 mol %, greater than or equal to 20.0 mol %, greater than or equal to 20.5 mol %, greater than or equal to 21.0 mol %, greater than or equal to 21.5 mol %, greater than or equal to 22.0 mol %, greater than or equal to 22.5 mol %, greater than or equal to 23.0 mol %, greater than or equal to 23.5 mol %, greater than or equal to 24.0 mol %, greater than or equal to 24.5 mol %, greater than or equal to 25.0 mol %, or greater than or equal to 25.5 mol %. In embodiments, the glass composition comprises Al₂O₃ in amounts less than or equal to 26 mol %, such as less than or equal to 25.5 mol %, less than or equal to 25.0 mol %, less than or equal to 24.5 mol %, less than or equal to 24.0 mol %, less than or equal to 23.5 mol %, less than or equal to 23.0 mol %, less than or equal to 22.5 mol %, less than or equal to 22.0 mol %, less than or equal to 21.5 mol %, less than or equal to 21.0 mol %, less than or equal to 20.5 mol %, less than or equal to 20.0 mol %, less than or equal to 19.5 mol %, less than or equal to 19.0 mol %, less than or equal to 18.5 mol %, less than or equal to 18.0 mol %, less than or equal to 17.5 mol %, less than or equal to 17.0 mol %, less than or equal to 16.5 mol %, less than or equal to 16.0 mol %, or less than or equal to 15.5 mol %. It should be understood that, in embodiments, any of the above ranges may be combined with any other range, such that the glass composition comprises Al₂O₃ in an amount from greater than 15 mol % to less than or equal to 32 mol %, such as from greater than or equal to 15.0 mol % to less than or equal to 26.0 mol %, from greater than or equal to 15.5 mol % to less than or equal to 25.5 mol %, from greater than or equal to 16.0 mol % to less than or equal to 25.0 mol %, from greater than or equal to 16.5 mol % to less than or equal to 24.5 mol %, from greater than or equal to 17.0 mol % to less than or equal to 24.0 mol %, from greater than or equal to 17.5 mol % to less than or equal to 23.5 mol %, from greater than or equal to 18.0 mol % to less than or equal to 23.0 mol %, from greater than or equal to 18.5 mol % to less than or equal to 22.5 mol %, from greater than or equal to 19.0 mol % to less than or equal to 22.0 mol %, from greater than or equal to 19.5 mol % to less than or equal to 21.5 mol %, from greater than or equal to 20.0 mol % to less than or equal to 21.0 mol %, from greater than or equal to 20.5 mol % to less than or equal to 21.0 mol %, and all ranges and sub-ranges between the foregoing values.

Like SiO₂ and Al₂O₃, B₂O₃ may be added to the glass composition as a network former, thereby improving the glass forming range and manufacturability (via liquidus reduction) of the glass composition. The inclusion of B₂O₃ in the glass compositions enables high fracture toughness values. In embodiments, the glass composition may comprise B₂O₃ in amounts greater than or equal to 0 mol %, such as greater than 0 mol %, greater than or equal to 0.5 mol %, greater than or equal to 1.0 mol %, greater than or equal to 1.5 mol %, greater than or equal to 2.0 mol %, greater than or equal to 2.5 mol %, greater than or equal to 3.0 mol %, greater than or equal to 3.5 mol %, greater than or equal to 4.0 mol %, greater than or equal to 4.5 mol %, greater than or equal to 5.0 mol %, greater than or equal to 5.5 mol %, greater than or equal to 6.0 mol %, greater than or equal to 6.5 mol %, greater than or equal to 7.0 mol %, greater than or equal to 7.5 mol %, greater than or equal to 8.0 mol %, greater than or equal to 8.5 mol %, greater than or equal to 9.0 mol %, greater than or equal to 9.5 mol %, 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 11.5 mol %, greater than or equal to 12.0 mol %, greater than or equal to 12.5 mol %, greater than or equal to 13.0 mol %, or greater than or equal to 13.5 mol %. In embodiments, the glass composition may comprise B₂O₃ in an amount less than or equal to 14.0 mol %, such as less than or equal to 13.5 mol %, less than or equal to 13.0 mol %, less than or equal to 12.5 mol %, less than or equal to 12.0 mol %, less than or equal to 11.5 mol %, less than or equal to 11.0 mol %, less than or equal to 10.5 mol %, less than or equal to 10.0 mol %, less than or equal to 9.5 mol %, less than or equal to 9.0 mol %, less than or equal to 8.5 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 6.5 mol %, less than or equal to 6.0 mol %, less than or equal to 5.5 mol %, less than or equal to 5.0 mol %, less than or equal to 4.5 mol %, less than or equal to 4.0 mol %, less than or equal to 3.5 mol %, less than or equal to 3.0 mol %, less than or equal to 2.5 mol %, less than or equal to 2.0 mol %, less than or equal to 1.5 mol %, less than or equal to 1.0 mol %, or less than or equal to 0.5 mol %. It should be understood that, in embodiments, any of the above ranges may be combined with any other range, such that the glass composition comprises B₂O₃ in amounts from greater than or equal to 0 mol % to less than or equal to 14.0 mol %, such as greater than 0 mol % to less than or equal to 13.5 mol %, greater than or equal to 0.5 mol % to less than or equal to 13.0 mol %, greater than or equal to 1.0 mol % to less than or equal to 12.5 mol %, greater than or equal to 1.5 mol % to less than or equal to 12.0 mol %, greater than or equal to 2.0 mol % to less than or equal to 11.5 mol %, greater than or equal to 2.5 mol % to less than or equal to 11.0 mol %, greater than or equal to 3.0 mol % to less than or equal to 10.5 mol %, greater than or equal to 3.5 mol % to less than or equal to 10.0 mol %, greater than or equal to 4.0 mol % to less than or equal to 9.5 mol %, greater than or equal to 4.5 mol % to less than or equal to 9.0 mol %, greater than or equal to 5.0 mol % to less than or equal to 8.5 mol %, greater than or equal to 5.5 mol % to less than or equal to 8.0 mol %, greater than or equal to 6.0 mol % to less than or equal to 7.5 mol %, greater than or equal to 6.5 mol % to less than or equal to 7.0 mol %, greater than or equal to 0 mol % to less than or equal to 11.0 mol %, and all ranges and sub-ranges between the foregoing values. In embodiments, the glass composition may comprise B₂O₃ in amounts from greater than 0 mol % to less than or equal to 5 mol %. In embodiments, the glass composition may be substantially free or free of B₂O₃.

The inclusion of Li₂O in the glass composition allows for better control of an ion exchange process and further reduces the softening point of the glass, thereby increasing the manufacturability of the glass. The presence of Li₂O in the glass compositions also allows the formation of a stress profile with a parabolic shape. In embodiments, the glass composition comprises Li₂O in amounts greater than or equal to 10.0 mol %, such as greater than or equal to 10.5 mol %, greater than or equal to 11.0 mol %, greater than or equal to 11.5 mol %, greater than or equal to 12.0 mol %, greater than or equal to 12.5 mol %, greater than or equal to 13.0 mol %, greater than or equal to 13.5 mol %, greater than or equal to 14.0 mol %, greater than or equal to 14.5 mol %, greater than or equal to 15.0 mol %, greater than or equal to 15.5 mol %, greater than or equal to 16.0 mol %, greater than or equal to 16.5 mol %, greater than or equal to 17.0 mol %, greater than or equal to 17.5 mol %, greater than or equal to 18.0 mol %, greater than or equal to 18.5 mol %, greater than or equal to 19.0 mol %, greater than or equal to 19.5 mol %, greater than or equal to 20.0 mol %, greater than or equal to 20.5 mol %, greater than or equal to 21.0 mol %, greater than or equal to 21.5 mol %, greater than or equal to 22.0 mol %, greater than or equal to 22.5 mol %, greater than or equal to 23.0 mol %, greater than or equal to 23.5 mol %, greater than or equal to 24.0 mol %, or greater than or equal to 24.5 mol %. In embodiments, the glass composition comprises Li₂O in amounts less than or equal to 25.0 mol %, such as less than or equal to 24.5 mol %, less than or equal to 24.0 mol %, less than or equal to 23.5 mol %, less than or equal to 23.0 mol %, less than or equal to 22.5 mol %, less than or equal to 22.0 mol %, less than or equal to 21.5 mol %, less than or equal to 21.0 mol %, less than or equal to 20.5 mol %, less than or equal to 20.0 mol %, less than or equal to 19.5 mol %, less than or equal to 19.0 mol %, less than or equal to 18.5 mol %, less than or equal to 18.0 mol %, less than or equal to 17.5 mol %, less than or equal to 17.0 mol %, less than or equal to 16.5 mol %, less than or equal to 16.0 mol %, less than or equal to 15.5 mol %, less than or equal to 15.0 mol %, less than or equal to 14.5 mol %, less than or equal to 14.0 mol %, less than or equal to 13.5 mol %, less than or equal to 13.0 mol %, less than or equal to 12.5 mol %, less than or equal to 12.0 mol %, less than or equal to 11.5 mol %, less than or equal to 11.0 mol %, less than or equal to 10.5 mol %, less than or equal to 10.0 mol %, less than or equal to 9.5 mol %, less than or equal to 9.0 mol %, less than or equal to 8.5 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 6.5 mol %, less than or equal to 6.0 mol %, less than or equal to 5.5 mol %, less than or equal to 5.0 mol %, or less than or equal to 4.5 mol %. It should be understood that, in embodiments, any of the above ranges may be combined with any other range, such that the glass composition comprises Li₂O in an amount from greater than or equal to 10.0 mol % to less than or equal to 25.0 mol %, such as from greater than or equal to 10.5 mol % to less than or equal to 24.5 mol %, from greater than or equal to 11.0 mol % to less than or equal to 24.0 mol %, from greater than or equal to 11.5 mol % to less than or equal to 23.5 mol %, from greater than or equal to 12.0 mol % to less than or equal to 23.0 mol %, from greater than or equal to 12.5 mol % to less than or equal to 22.5 mol %, from greater than or equal to 13.0 mol % to less than or equal to 22.0 mol %, from greater than or equal to 13.5 mol % to less than or equal to 21.5 mol %, from greater than or equal to 14.0 mol % to less than or equal to 21.0 mol %, from greater than or equal to 14.5 mol % to less than or equal to 20.5 mol %, from greater than or equal to 15.0 mol % to less than or equal to 20.0 mol %, from greater than or equal to 15.5 mol % to less than or equal to 19.5 mol %, from greater than or equal to 16.0 mol % to less than or equal to 19.0 mol %, from greater than or equal to 16.5 mol % to less than or equal to 18.5 mol %, from greater than or equal to 17.0 mol % to less than or equal to 18.0 mol %, from greater than or equal to 17.0 mol % to less than or equal to 17.5 mol %, and all ranges and sub-ranges between the foregoing values.

According to embodiments, the glass composition may also include Na₂O. Na₂O aids in the ion exchangeability of the glass composition, and also improves the formability, and thereby manufacturability, of the glass composition. However, if too much Na₂O is added to the glass composition, the coefficient of thermal expansion (CTE) may be too low, and the melting point may be too high. The inclusion of Na₂O in the glass compositions also enables high compressive stress values to be achieved through ion exchange strengthening. In embodiments, the glass composition comprises Na₂O in amounts greater than or equal to 0 mol %, such as greater than 0 mol %, greater than or equal to 0.5 mol %, greater than or equal to 1.0 mol %, greater than or equal to 1.5 mol %, greater than or equal to 2.0 mol %, greater than or equal to 2.5 mol %, greater than or equal to 3.0 mol %, greater than or equal to 3.5 mol %, greater than or equal to 4.0 mol %, greater than or equal to 4.5 mol %, greater than or equal to 5.0 mol %, greater than or equal to 5.5 mol %, greater than or equal to 6.0 mol %, greater than or equal to 6.5 mol %, greater than or equal to 7.0 mol %, greater than or equal to 7.5 mol %, greater than or equal to 8.0 mol %, or greater than or equal to 8.5 mol %. In embodiments, the glass composition comprises Na₂O in amounts less than or equal to 9.0 mol %, such as less than or equal to 8.5 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 6.5 mol %, less than or equal to 6.0 mol %, less than or equal to 5.5 mol %, less than or equal to 5.0 mol %, or less than or equal to 4.5 mol %, less than or equal to 4.0 mol %, less than or equal to 3.5 mol %, less than or equal to 3.0 mol %, less than or equal to 2.5 mol %, less than or equal to 2.0 mol %, less than or equal to 1.5 mol %, less than or equal to 1.0 mol %, or less than or equal to 0.5 mol %. It should be understood that, in embodiments, any of the above ranges may be combined with any other range, such that the glass composition comprises Na₂O in an amount from greater than or equal to 0 mol % to less than or equal to 9.0 mol %, such as from greater than 0 mol % to less than or equal to 9.0 mol %, from greater than or equal to 0.5 mol % to less than or equal to 9.0 mol %, from greater than or equal to 1.0 mol % to less than or equal to 8.5 mol %, from greater than or equal to 1.5 mol % to less than or equal to 8.0 mol %, from greater than or equal to 2.0 mol % to less than or equal to 7.5 mol %, from greater than or equal to 2.5 mol % to less than or equal to 7.0 mol %, from greater than or equal to 3.0 mol % to less than or equal to 6.5 mol %, from greater than or equal to 3.5 mol % to less than or equal to 6.0 mol %, from greater than or equal to 4.0 mol % to less than or equal to 5.5 mol %, from greater than or equal to 4.5 mol % to less than or equal to 5.0 mol %, and all ranges and sub-ranges between the foregoing values.

Like Na₂O, K₂O also promotes ion exchange and increases the depth of compression (DOC) of a compressive stress layer formed as a result. However, adding K₂O may cause the CTE to be too low, and the melting point to be too high. The glass composition includes K₂O. The inclusion of K₂O in the glass composition enables a deep depth of a high compressive stress spike in the glass articles produced by ion exchange. In embodiments, the glass composition may contain K₂O in an amount of less than or equal to 3.0 mol %, such as less than or equal to 2.9 mol %, less than or equal to 2.8 mol %, less than or equal to 2.7 mol %, less than or equal to 2.6 mol %, less than or equal to 2.5 mol %, less than or equal to 2.4 mol %, less than or equal to 2.3 mol %, less than or equal to 2.2 mol %, less than or equal to 2.1 mol %, less than or equal to 2.0 mol %, less than or equal to 1.9 mol %, less than or equal to 1.8 mol %, less than or equal to 1.7 mol %, less than or equal to 1.6 mol %, less than or equal to 1.5 mol %, less than or equal to 1.4 mol %, less than or equal to 1.3 mol %, less than or equal to 1.2 mol %, less than or equal to 1.1 mol %, less than or equal to 1.0 mol %, less than or equal to 0.9 mol %, less than or equal to 0.8 mol %, less than or equal to 0.7 mol %, less than or equal to 0.6 mol %, less than or equal to 0.5 mol %, less than or equal to 0.4 mol %, less than or equal to 0.3 mol %, less than or equal to 0.2 mol %, or less than or equal to 0.1 mol %. In embodiments, the glass composition may contain K₂O in an amount of greater than or equal to 0 mol %, such as greater than 0 mol %, greater than or equal to 0.1 mol %, greater than or equal to 0.2 mol %, greater than or equal to 0.3 mol %, greater than or equal to 0.4 mol %, greater than or equal to 0.5 mol %, greater than or equal to 0.6 mol %, greater than or equal to 0.7 mol %, greater than or equal to 0.8 mol %, greater than or equal to 0.9 mol %, greater than or equal to 1.0 mol %, greater than or equal to 1.1 mol %, greater than or equal to 1.2 mol %, greater than or equal to 1.3 mol %, greater than or equal to 1.4 mol %, greater than or equal to 1.5 mol %, greater than or equal to 1.6 mol %, greater than or equal to 1.7 mol %, greater than or equal to 1.8 mol %, greater than or equal to 1.9 mol %, greater than or equal to 2.0 mol %, greater than or equal to 2.1 mol %, greater than or equal to 2.2 mol %, greater than or equal to 2.3 mol %, greater than or equal to 2.4 mol %, greater than or equal to 2.5 mol %, greater than or equal to 2.6 mol %, greater than or equal to 2.7 mol %, greater than or equal to 2.8 mol %, or greater than or equal to 2.9 mol %. It should be understood that, in embodiments, any of the above ranges may be combined with any other range, such that the glass composition comprises K₂O in an amount from greater than or equal to 0 mol % to less than or equal to 3.0 mol %, such as from greater than or equal to 0 mol % to less than or equal to 1.0 mol %, from greater than or equal to 0.1 mol % to less than or equal to 2.9 mol %, from greater than or equal to 0.2 mol % to less than or equal to 2.8 mol %, from greater than or equal to 0.3 mol % to less than or equal to 2.7 mol %, from greater than or equal to 0.4 mol % to less than or equal to 2.6 mol %, from greater than or equal to 0.5 mol % to less than or equal to 2.5 mol %, from greater than or equal to 0.6 mol % to less than or equal to 2.4 mol %, from greater than or equal to 0.7 mol % to less than or equal to 2.3 mol %, from greater than or equal to 0.8 mol % to less than or equal to 2.2 mol %, from greater than or equal to 0.9 mol % to less than or equal to 2.1 mol %, from greater than or equal to 1.0 mol % to less than or equal to 2.0 mol %, from greater than or equal to 1.1 mol % to less than or equal to 1.9 mol %, from greater than or equal to 1.2 mol % to less than or equal to 1.8 mol %, from greater than or equal to 1.3 mol % to less than or equal to 1.7 mol %, from greater than or equal to 1.4 mol % to less than or equal to 1.6 mol %, from greater than or equal to 1.5 mol % to less than or equal to 1.6 mol %, and all ranges and sub-ranges between the foregoing values.

The glasses may include magnesium. The inclusion of MgO lowers the viscosity of the glass, which may enhance the formability and manufacturability of the glass. The inclusion of MgO in the glass composition also improves the strain point and the Young's modulus of the glass composition and improves the ability of the glass to achieve high compressive stress through ion exchange. However, when too much MgO is added to the glass composition, the density and the CTE of the glass composition increase undesirably. In embodiments, the glass composition comprises MgO in amounts greater than or equal to 0 mol %, such as greater than 0 mol %, greater than or equal to 0.5 mol %, greater than or equal to 1.0 mol %, greater than or equal to 1.5 mol %, greater than or equal to 2.0 mol %, greater than or equal to 2.5 mol %, greater than or equal to 3.0 mol %, greater than or equal to 3.5 mol %, greater than or equal to 4.0 mol %, greater than or equal to 4.5 mol %, greater than or equal to 5.0 mol %, greater than or equal to 5.5 mol %, greater than or equal to 6.0 mol %, greater than or equal to 6.5 mol %, greater than or equal to 7.0 mol %, greater than or equal to 7.5 mol %, greater than or equal to 8.0 mol %, greater than or equal to 8.5 mol %, greater than or equal to 9.0 mol %, greater than or equal to 9.5 mol %, 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 11.5 mol %, greater than or equal to 12.0 mol %, greater than or equal to 12.5 mol %, greater than or equal to 13.0 mol %, or greater than or equal to 13.5 mol %. In some embodiments, the glass composition comprises MgO in amounts less than or equal to 14 mol %, such as less than or equal to 13.5 mol %, less than or equal to 13.0 mol %, less than or equal to 12.5 mol %, less than or equal to 12.0 mol %, less than or equal to 11.5 mol %, less than or equal to 11.0 mol %, less than or equal to 10.5 mol %, less than or equal to 10.0 mol %, less than or equal to 9.5 mol %, less than or equal to 9.0 mol %, less than or equal to 8.5 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 6.5 mol %, less than or equal to 6.0 mol %, less than or equal to 5.5 mol %, less than or equal to 5.0 mol %, less than or equal to 4.5 mol %, less than or equal to 4.0 mol %, less than or equal to 3.5 mol %, less than or equal to 3.0 mol %, less than or equal to 2.5 mol %, less than or equal to 2.0 mol %, less than or equal to 1.5 mol %, less than or equal to 1.0 mol %, or less than or equal to 0.5 mol %. It should be understood that, in embodiments, any of the above ranges may be combined with any other range, such that the glass composition comprises MgO in an amount from greater than or equal to 0 mol % to less than or equal to 14 mol %, such as from greater than 0 mol % to less than or equal to 14.0 mol %, from greater than or equal to 0.5 mol % to less than or equal to 13.5 mol %, from greater than or equal to 1.0 mol % to less than or equal to 13.0 mol %, from greater than or equal to 1.5 mol % to less than or equal to 12.5 mol %, from greater than or equal to 2.0 mol % to less than or equal to 12.0 mol %, from greater than or equal to 2.5 mol % to less than or equal to 11.5 mol %, from greater than or equal to 3.0 mol % to less than or equal to 11.0 mol %, from greater than or equal to 3.5 mol % to less than or equal to 10.5 mol %, from greater than or equal to 4.0 mol % to less than or equal to 10.0 mol %, from greater than or equal to 4.5 mol % to less than or equal to 9.5 mol %, from greater than or equal to 5.0 mol % to less than or equal to 9.0 mol %, from greater than or equal to 5.5 mol % to less than or equal to 8.5 mol %, from greater than or equal to 6.0 mol % to less than or equal to 8.0 mol %, from greater than or equal to 6.5 mol % to less than or equal to 7.5 mol %, from greater than or equal to 7.0 mol % to less than or equal to 8.0 mol %, and all ranges and sub-ranges between the foregoing values. In embodiments, the glass composition may be substantially free or free of MgO.

The glass compositions may include CaO. The inclusion of CaO lowers the viscosity of the glass, which enhances the formability, the strain point and the Young's modulus, and improves the ability of the glass to achieve high compressive stress through ion exchange. However, when too much CaO is added to the glass composition, the density and the CTE of the glass composition increase. In embodiments, the glass composition comprises CaO in amounts greater than or equal to 0 mol %, such as greater than 0 mol %, greater than or equal to 0.5 mol %, greater than or equal to 1.0 mol %, greater than or equal to 1.5 mol %, greater than or equal to 2.0 mol %, greater than or equal to 2.5 mol %, greater than or equal to 3.0 mol %, greater than or equal to 3.5 mol %, greater than or equal to 4.0 mol %, greater than or equal to 4.5 mol %, greater than or equal to 5.0 mol %, greater than or equal to 5.5 mol %, greater than or equal to 6.0 mol %, greater than or equal to 6.5 mol %, greater than or equal to 7.0 mol %, greater than or equal to 7.5 mol %, greater than or equal to 8.0 mol %, greater than or equal to 8.5 mol %, greater than or equal to 9.0 mol %, greater than or equal to 9.5 mol %, 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 11.5 mol %, greater than or equal to 12.0 mol %, greater than or equal to 12.5 mol %, greater than or equal to 13.0 mol %, greater than or equal to 13.5 mol %, greater than or equal to 14.0 mol %, greater than or equal to 14.5 mol %, greater than or equal to 15.0 mol %, greater than or equal to 15.5 mol % greater than or equal to 16.0 mol %, or greater than or equal to 16.5 mol %. In embodiments, the glass composition comprises CaO in amounts less than or equal to 16.0 mol %, such as less than or equal to 15.5 mol %, less than or equal to 15.0 mol %, less than or equal to 14.5 mol %, less than or equal to 14.0 mol %, less than or equal to 13.5 mol %, less than or equal to 13.0 mol %, less than or equal to 12.5 mol %, less than or equal to 12.0 mol %, less than or equal to 11.5 mol %, less than or equal to 11.0 mol %, less than or equal to 10.5 mol %, less than or equal to 10.0 mol %, less than or equal to 9.5 mol %, less than or equal to 9.0 mol %, less than or equal to 8.5 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 8.5 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 6.5 mol %, less than or equal to 6.0 mol %, less than or equal to 5.5 mol %, less than or equal to 5.0 mol %, less than or equal to 4.5 mol %, less than or equal to 4.0 mol %, less than or equal to 3.5 mol %, less than or equal to 3.0 mol %, less than or equal to 2.5 mol %, less than or equal to 2.0 mol %, less than or equal to 1.5 mol %, less than or equal to 1.0 mol %, or less than or equal to 0.5 mol %. It should be understood that, in embodiments, any of the above ranges may be combined with any other range, such that the glass composition comprises CaO in an amount from greater than or equal to 0 mol % to less than or equal to 16.0 mol %, such as from greater than 0 mol % to less than or equal to 15.5 mol %, from greater than or equal to 0.5 mol % to less than or equal to 15.0 mol %, from greater than or equal to 1.0 mol % to less than or equal to 14.5 mol %, from greater than or equal to 1.5 mol % to less than or equal to 14.0 mol %, from greater than or equal to 2.0 mol % to less than or equal to 13.5 mol %, from greater than or equal to 2.5 mol % to less than or equal to 13.0 mol %, from greater than or equal to 3.0 mol % to less than or equal to 12.5 mol %, from greater than or equal to 3.5 mol % to less than or equal to 12.0 mol %, from greater than or equal to 4.0 mol % to less than or equal to 11.5 mol %, from greater than or equal to 4.5 mol % to less than or equal to 11.0 mol %, from greater than or equal to 5.0 mol % to less than or equal to 10.5 mol %, from greater than or equal to 5.5 mol % to less than or equal to 10.0 mol %, from greater than or equal to 6.0 mol % to less than or equal to 9.5 mol %, from greater than or equal to 6.5 mol % to less than or equal to 9.0 mol %, from greater than or equal to 7.0 mol % to less than or equal to 8.5 mol %, from greater than or equal to 7.5 mol % to less than or equal to 8.0 mol %, and all ranges and sub-ranges between the foregoing values. In embodiments, the glass composition may be substantially free or free of CaO.

The glass compositions may include SrO. The inclusion of SrO lowers the viscosity of the glass, which enhances the formability, the strain point and the Young's modulus, and improves the ability of the glass to achieve high compressive stress through ion exchange. However, when too much SrO is added to the glass composition, the density and the CTE of the glass composition increase. In embodiments, the glass composition comprises SrO in amounts greater than or equal to 0 mol %, such as greater than 0 mol %, greater than or equal to 0.5 mol %, greater than or equal to 1.0 mol %, greater than or equal to 1.5 mol %, greater than or equal to 2.0 mol %, greater than or equal to 2.5 mol %, greater than or equal to 3.0 mol %, greater than or equal to 3.5 mol %, greater than or equal to 4.0 mol %, greater than or equal to 4.5 mol %, greater than or equal to 5.0 mol %, greater than or equal to 5.5 mol %, greater than or equal to 6.0 mol %, greater than or equal to 6.5 mol %, greater than or equal to 7.0 mol %, greater than or equal to 7.5 mol %, greater than or equal to 8.0 mol %, greater than or equal to 8.5 mol %, greater than or equal to 9.0 mol %, or greater than or equal to 9.5 mol %. In embodiments, the glass composition comprises SrO in amounts less than or equal to 10.0 mol %, such as less than or equal to 9.5 mol %, less than or equal to 9.0 mol %, less than or equal to 8.5 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 8.5 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 6.5 mol %, less than or equal to 6.0 mol %, less than or equal to 5.5 mol %, less than or equal to 5.0 mol %, less than or equal to 4.5 mol %, less than or equal to 4.0 mol %, less than or equal to 3.5 mol %, less than or equal to 3.0 mol %, less than or equal to 2.5 mol %, less than or equal to 2.0 mol %, less than or equal to 1.5 mol %, less than or equal to 1.0 mol %, or less than or equal to 0.5 mol %. It should be understood that, in embodiments, any of the above ranges may be combined with any other range, such that the glass composition comprises SrO in an amount from greater than or equal to 0 mol % to less than or equal to 10.0 mol %, such as from greater than 0 mol % to less than or equal to 9.5 mol %, from greater than or equal to 0.5 mol % to less than or equal to 9.0 mol %, from greater than or equal to 1.0 mol % to less than or equal to 8.5 mol %, from greater than or equal to 1.5 mol % to less than or equal to 8.0 mol %, from greater than or equal to 2.0 mol % to less than or equal to 7.5 mol %, from greater than or equal to 2.5 mol % to less than or equal to 7.0 mol %, from greater than or equal to 3.0 mol % to less than or equal to 6.5 mol %, from greater than or equal to 3.5 mol % to less than or equal to 6.0 mol %, from greater than or equal to 4.0 mol % to less than or equal to 5.5 mol %, from greater than or equal to 4.5 mol % to less than or equal to 5.0 mol %, and all ranges and sub-ranges between the foregoing values. In embodiments, the glass composition comprises SrO in amounts greater than or equal to 1 mol %. In embodiments, the glass composition may be substantially free or free of SrO.

The glass compositions may include BaO. The inclusion of BaO lowers the viscosity of the glass, which enhances the formability, the strain point and the Young's modulus, and improves the ability of the glass to achieve high compressive stress through ion exchange. However, when too much BaO is added to the glass composition, the density and the CTE of the glass composition increase. In embodiments, the glass composition comprises BaO in amounts greater than or equal to 0 mol %, such as greater than 0 mol %, greater than or equal to 0.5 mol %, greater than or equal to 1.0 mol %, greater than or equal to 1.5 mol %, greater than or equal to 2.0 mol %, greater than or equal to 2.5 mol %, greater than or equal to 3.0 mol %, greater than or equal to 3.5 mol %, greater than or equal to 4.0 mol %, or greater than or equal to 4.5 mol %. In embodiments, the glass composition comprises BaO in amounts less than or equal to 5.0 mol %, such as less than or equal to 4.5 mol %, less than or equal to 4.0 mol %, less than or equal to 3.5 mol %, less than or equal to 3.0 mol %, less than or equal to 2.5 mol %, less than or equal to 2.0 mol %, less than or equal to 1.5 mol %, less than or equal to 1.0 mol %, or less than or equal to 0.5 mol %. It should be understood that, in embodiments, any of the above ranges may be combined with any other range, such that the glass composition comprises BaO in an amount from greater than or equal to 0 mol % to less than or equal to 5.0 mol %, such as from greater than 0 mol % to less than or equal to 4.5 mol %, from greater than or equal to 0.5 mol % to less than or equal to 4.0 mol %, from greater than or equal to 1.0 mol % to less than or equal to 3.5 mol %, from greater than or equal to 1.5 mol % to less than or equal to 3.0 mol %, from greater than or equal to 2.0 mol % to less than or equal to 2.5 mol %, and all ranges and sub-ranges between the foregoing values. In embodiments, the glass composition may be substantially free or free of BaO.

The glass compositions may include TiO₂. In embodiments, the glass composition may be substantially free or free of TiO₂. As used herein, the term “substantially free” means that the component is not added as a component of the batch material even though the component may be present in the final glass in very small amounts as a contaminant, such as less than 0.01 mol %. In embodiments, the glass compositions include TiO₂ in an amount from greater than or equal to 0 mol % to less than or equal to 1.0 mol %, such as from greater than 0 mol % to less than or equal to 0.9 mol %, from greater than or equal to 0.1 mol % to less than or equal to 0.8 mol %, from greater than or equal to 0.2 mol % to less than or equal to 0.7 mol %, from greater than or equal to 0.3 mol % to less than or equal to 0.6 mol %, from greater than or equal to 0.4 mol % to less than or equal to 0.5 mol %, and all ranges and sub-ranges between the foregoing values. The inclusion of too much TiO₂ in the glass composition may result in the glass being susceptible to devitrification and/or exhibiting an undesirable coloration.

In embodiments, the glass composition may be substantially free or free of P₂O₅. The inclusion of P₂O₅ in the glass composition may undesirably reduce the meltability and formability of the glass composition, thereby impairing the manufacturability of the glass composition. It is not necessary to include P₂O₅ in the glass compositions described herein to achieve the desired ion exchange performance. For this reason, P₂O₅ may be excluded from the glass composition to avoid negatively impacting the manufacturability of the glass composition while maintaining the desired ion exchange performance.

In embodiments, the glass composition may optionally include one or more fining agents. In some embodiments, the fining agents may include, for example, SnO₂. In such embodiments, SnO₂ may be present in the glass composition in an amount less than or equal to 0.2 mol %, such as from greater than or equal to 0 mol % to less than or equal to 0.2 mol %, from greater than or equal to 0 mol % to less than or equal to 0.1 mol %, from greater than or equal to 0 mol % to less than or equal to 0.05 mol %, from greater than or equal to 0.1 mol % to less than or equal to 0.2 mol %, and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may be substantially free or free of SnO₂.

In embodiments, the glass composition may be substantially free of one or both of arsenic and antimony. In other embodiments, the glass composition may be free of one or both of arsenic and antimony.

In embodiments, the glass composition may be substantially free or free of Fe₂O₃. Iron is often present in raw materials utilized to form glass compositions, and as a result may be detectable in the glass compositions described herein even when not actively added to the glass batch.

In addition to the above individual components, glass compositions according to embodiments disclosed herein may be characterized by the total amount of SiO₂, B₂O₃, Al₂O₃, CaO, SrO, Li₂O, Na₂O, and K₂O contained therein. In embodiments, the glass composition may comprise SiO₂+B₂₀₃+Al₂O₃+CaO+SrO+Li₂O+Na₂O+K₂O in a concentration greater than or equal to 99.7 mol %, such as greater than or equal to 99.8 mol %, greater than or equal to 99.9 mol %, or 100%. Maintaining the total amount of these components in the desired ranges helps to achieve the desired properties of the glass composition.

The glass composition may be characterized by exhibiting one or more of a combination of compositional features. In embodiments, the glass composition may be characterized by at least one of: SiO₂ in an amount less than or equal to 57.5 mol %, SrO in amounts greater than or equal to 1 mol %, and/or B₂O₃ in amounts from greater than 0 mol % to less than or equal to 5 mol %. The glass composition may contain SiO₂ in an amount less than or equal to 57.5 mol %, SrO in an amount greater than or equal to 1 mol %, and B₂O₃ in an amount from greater than 0 mol % to less than or equal to 5 mol %.

In embodiments, the glass composition includes: greater than or equal to 30 mol % SiO₂; greater than or equal to 10 mol % to less than or equal to 25 mol % Li₂O; greater than or equal to 0 mol % to less than or equal to 17 mol % CaO; greater than or equal to 0 mol % to less than or equal to 3 mol % K₂O; and greater than or equal to 0 mol % to less than or equal to 14 mol % B₂O₃.

In embodiments, the glass composition includes: greater than or equal to 30 mol % SiO₂; greater than or equal to 10 mol % to less than or equal to 25 mol % Li₂O; greater than or equal to 0.5 mol % to less than or equal to 17 mol % CaO; greater than or equal to 0 mol % to less than or equal to 3 mol % K₂O; greater than or equal to 0 mol % to less than or equal to 11 mol % B₂O₃; and at least one of: less than or equal to 57.5 mol % SiO₂, greater than or equal to 1 mol % SrO, and greater than 0 mol % to less than or equal to 5 mol % B₂O₃, wherein the total content of SiO₂+B₂O₃+Al₂O₃+CaO+SrO+Li₂O+Na₂O+K₂O is greater than or equal to 99.7 mol %.

Physical properties of the alkali aluminosilicate glass compositions as disclosed above will now be discussed. These physical properties can be achieved by modifying the component amounts of the alkali aluminosilicate glass composition, as will be discussed in more detail with reference to the examples.

Glass compositions according to embodiments have a high fracture toughness. Without wishing to be bound by any particular theory, the high fracture toughness may impart improved drop performance to the glass compositions. As utilized herein, the fracture toughness refers to the K_IC value, and is measured by the chevron notched short bar method. The chevron notched short bar (CNSB) method utilized to measure the K_IC value is disclosed in Reddy, K. P. R. et al, “Fracture Toughness Measurement of Glass and Ceramic Materials Using Chevron-Notched Specimens,” J. Am. Ceram. Soc., 71 [6], C-310-C-313 (1988) except that Y*_m is calculated using equation 5 of Bubsey, R. T. et al., “Closed-Form Expressions for Crack-Mouth Displacement and Stress Intensity Factors for Chevron-Notched Short Bar and Short Rod Specimens Based on Experimental Compliance Measurements,” NASA Technical Memorandum 83796, pp. 1-30 (October 1992). Additionally, the K_IC values are measured on non-strengthened glass samples, such as measuring the K_IC value prior to ion exchanging a glass article. The K_IC values discussed herein are reported in MPa√m, unless otherwise noted.

In embodiments, the glass compositions exhibit a K_IC value of greater than or equal to 0.75 MPa√m, such as greater than or equal to 0.76 MPa√m, greater than or equal to 0.77 MPa√m, greater than or equal to 0.78 MPa√m, greater than or equal to 0.79 MPa√m, greater than or equal to 0.80 MPa√m, greater than or equal to 0.81 MPa√m, greater than or equal to 0.82 MPa√m, greater than or equal to 0.83 MPa√m, greater than or equal to 0.84 MPa√m, greater than or equal to 0.85 MPa√m, greater than or equal to 0.86 MPa√m, greater than or equal to 0.87 MPa√m, greater than or equal to 0.88 MPa√m, greater than or equal to 0.89 MPa√m, greater than or equal to 0.90 MPa√m, greater than or equal to 0.91 MPa√m, greater than or equal to 0.92 MPa√m, greater than or equal to 0.93 MPa√m, greater than or equal to 0.94 MPa√m, greater than or equal to 0.95 MPa√m, greater than or equal to 0.96 MPa√m, greater than or equal to 0.97 MPa√m, greater than or equal to 0.98 MPa√m, greater than or equal to 0.99 MPa√m, greater than or equal to 1.0 MPa√m, or more. The high fracture toughness of the glass compositions described herein increases the resistance of the glasses to damage.

In embodiments, the liquidus viscosity of the glass compositions is less than or equal to 1000 P, such as less than or equal to 950 P, less than or equal to 900 P, less than or equal to 850 P, less than or equal to 800 P, less than or equal to 750 P, less than or equal to 700 P, less than or equal to 650 P, less than or equal to 600 P, less than or equal to 550 P, less than or equal to 500 P, less than or equal to 450 P, less than or equal to 400 P, less than or equal to 350 P, less than or equal to 300 P, less than or equal to 250 P, less than or equal to 200 P, less than or equal to 150 P, or less than or equal to 100 P. In embodiments, the liquidus viscosity is greater than or equal to 50 P, such as greater than or equal to 100 P, greater than or equal to 150 P, greater than or equal to 200 P, greater than or equal to 250 P, greater than or equal to 300 P, greater than or equal to 350 P, greater than or equal to 400 P, greater than or equal to 450 P, greater than or equal to 500 P, greater than or equal to 550 P, greater than or equal to 600 P, greater than or equal to 650 P, greater than or equal to 700 P, greater than or equal to 750 P, greater than or equal to 800 P, greater than or equal to 850 P, greater than or equal to 900 P, or greater than or equal to 950 P. It should be understood that, in embodiments, any of the above ranges may be combined with any other range, such that the liquidus viscosity is from greater than or equal to 50 P to less than or equal to 1000 P, such as greater than or equal to 100 P to less than or equal to 950 P, greater than or equal to 150 P to less than or equal to 900 P, greater than or equal to 200 P to less than or equal to 850 P, greater than or equal to 250 P to less than or equal to 800 P, greater than or equal to 300 P to less than or equal to 750 P, greater than or equal to 350 P to less than or equal to 700 P, greater than or equal to 400 P to less than or equal to 650 P, greater than or equal to 450 P to less than or equal to 600 P, greater than or equal to 500 P to less than or equal to 550 P, and all ranges and sub-ranges between the foregoing values. The liquidus viscosity 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”.

In embodiments, the Young's modulus (E) of the glass compositions may be from greater than or equal to 80 GPa to less than or equal to 100 GPa, such as from greater than or equal to 81 GPa to less than or equal to 99 GPa, from greater than or equal to 82 GPa to less than or equal to 98 GPa, from greater than or equal to 83 GPa to less than or equal to 97 GPa, from greater than or equal to 84 GPa to less than or equal to 96 GPa, from greater than or equal to 85 GPa to less than or equal to 95 GPa, from greater than or equal to 86 GPa to less than or equal to 94 GPa, from greater than or equal to 87 GPa to less than or equal to 93 GPa, from greater than or equal to 88 GPa to less than or equal to 92 GPa, from greater than or equal to 89 GPa to less than or equal to 91 GPa, from greater than or equal to 90 GPa to less than or equal to 100 GPa, and all ranges and sub-ranges between the foregoing values. In embodiments, the Young's modulus (E) of the glass compositions may be greater than or equal to 80 GPa, such as greater than or equal to 81 GPa, greater than or equal to 82 GPa, greater than or equal to 83 GPa, greater than or equal to 84 GPa, greater than or equal to 85 GPa, greater than or equal to 86 GPa, greater than or equal to 87 GPa, greater than or equal to 88 GPa, greater than or equal to 89 GPa, greater than or equal to 90 GPa, greater than or equal to 91 GPa, greater than or equal to 92 GPa, greater than or equal to 93 GPa, greater than or equal to 94 GPa, greater than or equal to 95 GPa, or more. The Young's modulus values recited in this disclosure refer to a value as measured by a resonant ultrasonic spectroscopy technique of the general type set forth in ASTM E2001-13, titled “Standard Guide for Resonant Ultrasound Spectroscopy for Defect Detection in Both Metallic and Non-metallic Parts.”

In embodiments, the glass composition may have a shear modulus (G) of from greater than or equal to 33 GPa to less than or equal to 39 GPa, such as from greater than or equal to 34 GPa to less than or equal to 38 GPa, from greater than or equal to 35 GPa to less than or equal to 37 GPa, from greater than or equal to 34 GPa to less than or equal to 36 GPa, and all ranges and sub-ranges between the foregoing values. The shear modulus values recited in this disclosure refer to a value as measured by a resonant ultrasonic spectroscopy technique of the general type set forth in ASTM E2001-13, titled “Standard Guide for Resonant Ultrasound Spectroscopy for Defect Detection in Both Metallic and Non-metallic Parts.”

In embodiments, the glass compositions may have a Poisson's ratio (v) of from greater than or equal to 0.2 to less than or equal to 0.26, such as from greater than or equal to 0.21 to less than or equal to 0.25, from greater than or equal to 0.22 to less than or equal to 0.24, greater than or equal to 0.23, and all ranges and sub-ranges between the foregoing values. The Poisson's ratio value recited in this disclosure refers to a value as measured by a resonant ultrasonic spectroscopy technique of the general type set forth in ASTM E2001-13, titled “Standard Guide for Resonant Ultrasound Spectroscopy for Defect Detection in Both Metallic and Non-metallic Parts.”

From the above compositions, glass articles according to embodiments may be formed by any suitable method. In embodiments, the glass compositions may be formed by rolling processes, such as thin-rolling processes.

The glass composition and the articles produced therefrom may be characterized by the manner in which it may be formed. For instance, the glass composition may be characterized as float-formable (i.e., formed by a float process) or roll-formable (i.e., formed by a rolling process).

In one or more embodiments, the glass compositions described herein may form glass articles that exhibit an amorphous microstructure and may be substantially free of crystals or crystallites. In other words, the glass articles formed from the glass compositions described herein may exclude glass-ceramic materials.

As mentioned above, in embodiments, the glass compositions described herein can be strengthened, such as by ion exchange, making a glass article that is damage resistant for applications such as, but not limited to, display covers. With reference to FIG. 1, a glass article is depicted that has a first region under compressive stress (e.g., first and second compressive layers 120, 122 in FIG. 1) extending from the surface to a depth of compression (DOC) of the glass article and a second region (e.g., central region 130 in FIG. 1) under a tensile stress or central tension (CT) extending from the DOC into the central or interior region of the glass article. As used herein, DOC refers to the depth at which the stress within the glass article changes from compressive to tensile. At the DOC, the stress crosses from a positive (compressive) stress to a negative (tensile) stress and thus exhibits a stress value of zero.

According to the convention normally used in the art, compression or compressive stress is expressed as a negative (<0) stress and tension or tensile stress is expressed as a positive (>0) stress. Throughout this description, however, CS is expressed as a positive or absolute value—i.e., as recited herein, CS=|CS|. The compressive stress (CS) has a maximum at or near the surface of the glass article, and the CS varies with distance d from the surface according to a function. Referring again to FIG. 1, a first segment 120 extends from first surface 110 to a depth d₁ and a second segment 122 extends from second surface 112 to a depth dz. Together, these segments define a compression or CS of glass article 100. Compressive stress (including surface CS) may be measured by surface stress meter (FSM) using commercially available instruments such as the FSM-6000, manufactured by Orihara Industrial Co., Ltd. (Japan). Surface stress measurements rely upon the accurate measurement of the stress optical coefficient (SOC), which is related to the birefringence of the glass. SOC in turn is measured according to Procedure C (Glass Disc Method) described in ASTM standard C770-16, entitled “Standard Test Method for Measurement of Glass Stress-Optical Coefficient,” the contents of which are incorporated herein by reference in their entirety.

In embodiments, the CS of the glass articles is from greater than or equal to 500 MPa to less than or equal to 1200 MPa, such as from greater than or equal to 525 MPa to less than or equal to 1150 MPa, from greater than or equal to 550 MPa to less than or equal to 1100 MPa, from greater than or equal to 575 MPa to less than or equal to 1050 MPa, from greater than or equal to 600 MPa to less than or equal to 1000 MPa, from greater than or equal to 625 MPa to less than or equal to 975 MPa, from greater than or equal to 650 MPa to less than or equal to 950 MPa, from greater than or equal to 675 MPa to less than or equal to 925 MPa, from greater than or equal to 700 MPa to less than or equal to 900 MPa, from greater than or equal to 725 MPa to less than or equal to 875 MPa, from greater than or equal to 750 MPa to less than or equal to 850 MPa, from greater than or equal to 775 MPa to less than or equal to 825 MPa, from greater than or equal to 700 MPa to less than or equal to 800 MPa, and all ranges and sub-ranges between the foregoing values.

In one or more embodiments, Na⁺ and/or K⁺ ions are exchanged into the glass article and the Na⁺⁺ ions diffuse to a deeper depth into the glass article than the K⁺ ions. The depth of penetration of K⁺ ions (“Potassium DOL”) is distinguished from DOC because it represents the depth of potassium penetration as a result of an ion exchange process. The Potassium DOL is typically less than the DOC for the articles described herein. Potassium DOL is measured using a surface stress meter such as the commercially available FSM-6000 surface stress meter, manufactured by Orihara Industrial Co., Ltd. (Japan), which relies on accurate measurement of the stress optical coefficient (SOC), as described above with reference to the CS measurement. The potassium DOL may define a depth of a compressive stress spike (DOL_SP), where a stress profile transitions from a steep spike region to a less-steep deep region. The deep region extends from the bottom of the spike to the depth of compression. The DOL_SP of the glass articles may be from greater than or equal to 5 μm to less than or equal to 30 μm, such as from greater than or equal to 6 μm to less than or equal to 25 μm, from greater than or equal to 7 μm to less than or equal to 20 μm, from greater than or equal to 8 μm to less than or equal to 15 μm, or from greater than or equal to 9 μm to less than or equal to 11 μm, greater than or equal to 10 μm, and all ranges and sub-ranges between the foregoing values.

The compressive stress of both major surfaces (110, 112 in FIG. 1) is balanced by stored tension in the central region 130 of the glass article. The maximum central tension (CT) and DOC values may be measured using a scattered light polariscope (SCALP) technique known in the art. The refracted near-field (RNF) method or SCALP may be used to determine the stress profile of the glass articles. When the RNF method is utilized to measure the stress profile, the maximum CT value provided by SCALP is utilized in the RNF method. In particular, the stress profile determined by RNF is force balanced and calibrated to the maximum CT value provided by a SCALP measurement. The RNF method is described in U.S. Pat. No. 8,854,623, entitled “Systems and methods for measuring a profile characteristic of a glass sample”, which is incorporated herein by reference in its entirety. In particular, the RNF method includes placing the glass article adjacent to a reference block, generating a polarization-switched light beam that is switched between orthogonal polarizations at a rate of between 1 Hz and 50 Hz, measuring an amount of power in the polarization-switched light beam and generating a polarization-switched reference signal, wherein the measured amounts of power in each of the orthogonal polarizations are within 50% of each other. The method further includes transmitting the polarization-switched light beam through the glass sample and reference block for different depths into the glass sample, then relaying the transmitted polarization-switched light beam to a signal photodetector using a relay optical system, with the signal photodetector generating a polarization-switched detector signal. The method also includes dividing the detector signal by the reference signal to form a normalized detector signal and determining the profile characteristic of the glass sample from the normalized detector signal.

The glass articles have a high maximum central tension (CT). The high CT values achieved in the glass articles indicates a high degree of stored energy, as produced by the ion exchange process. The high CT values and associated high level of stored energy provide improved resistance to fracture to the glass articles, particularly with respect to repeated drops and contact with rough surfaces. The high CT values described herein may be achieved by ion exchanging the glass substrates in a molten salt bath containing sodium ions for a time period of less than or equal to 16 hours. In embodiments, the glass articles have a maximum central tension (CT) greater than or equal to 150 MPa, such as greater than or equal to 160 MPa, greater than or equal to 170 MPa, greater than or equal to 180 MPa, greater than or equal to 190 MPa, greater than or equal to 200 MPa, greater than or equal to 210 MPa, greater than or equal to 220 MPa, greater than or equal to 230 MPa, greater than or equal to 240 MPa, greater than or equal to 250 MPa, greater than or equal to 260 MPa, greater than or equal to 270 MPa, greater than or equal to 280 MPa, greater than or equal to 290 MPa, greater than or equal to 300 MPa, and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass article may have a CT of less than or equal to 400 MPa, such as less than or equal to 390 MPa, less than or equal to 380 MPa, less than or equal to 370 MPa, less than or equal to 360 MPa, less than or equal to 350 MPa, less than or equal to 340 MPa, less than or equal to 330 MPa, less than or equal to 320 MPa, less than or equal to 310 MPa, less than or equal to 300 MPa, less than or equal to 290 MPa, less than or equal to 280 MPa, less than or equal to 270 MPa, less than or equal to 260 MPa, less than or equal to 250 MPa, less than or equal to 240 MPa, less than or equal to 230 MPa, less than or equal to 220 MPa, less than or equal to 210 MPa, less than or equal to 200 MPa, less than or equal to 190 MPa, less than or equal to 180 MPa, less than or equal to 170 MPa, less than or equal to 160 MPa, and all ranges and sub-ranges between the foregoing values. It should be understood that, in embodiments, any of the above ranges may be combined with any other range, such that the glass article may have a maximum CT from greater than or equal to 150 MPa to less than or equal to 400 MPa, such as from greater than or equal to 160 MPa to less than or equal to 390 MPa, from greater than or equal to 170 MPa to less than or equal to 380 MPa, from greater than or equal to 180 MPa to less than or equal to 370 MPa, from greater than or equal to 190 MPa to less than or equal to 360 MPa, from greater than or equal to 200 MPa to less than or equal to 350 MPa, from greater than or equal to 210 MPa to less than or equal to 340 MPa, from greater than or equal to 220 MPa to less than or equal to 330 MPa, from greater than or equal to 230 MPa to less than or equal to 320 MPa, from greater than or equal to 240 MPa to less than or equal to 310 MPa, from greater than or equal to 250 MPa to less than or equal to 300 MPa, from greater than or equal to 260 MPa to less than or equal to 290 MPa, from greater than or equal to 270 MPa to less than or equal to 280 MPa, and all ranges and sub-ranges between the foregoing values.

The high fracture toughness values of the glass compositions described herein also may enable improved performance. The high fracture toughness of the glass compositions results in improved resistance to fracture when the glass articles are ion exchange, as compared to glass compositions with lower fracture toughness values.

As noted above, DOC is measured using a scattered light polariscope (SCALP) technique known in the art. The DOC is provided in some embodiments herein as a portion of the thickness (t) of the glass article. In embodiments, the glass articles may have a depth of compression (DOC) from greater than or equal to 0.15t to less than or equal to 0.25t, such as from greater than or equal to 0.16t to less than or equal to 0.24t, from greater than or equal to 0.17t to less than or equal to 0.23t, from greater than or equal to 0.18t to less than or equal to 0.22t, from greater than or equal to 0.19t to less than or equal to 0.21t, from greater than or equal to 0.15t to less than or equal to 0.20t, and all ranges and sub-ranges between the foregoing values. In embodiments, the glass articles may have a depth of compression (DOC) of greater than or equal to 0.15t, such as greater than or equal to 0.16t, greater than or equal to 0.17t, greater than or equal to 0.18t, greater than or equal to 0.19t, greater than or equal to 0.20t, greater than or equal to 0.21t, greater than or equal to 0.22t, greater than or equal to 0.23t, greater than or equal to 0.24t, or more. In embodiments, the glass articles may have a depth of compression (DOC) of greater than or equal to 100 μm, such as greater than or equal to 150 μm, or more.

Compressive stress layers may be formed in the glass by exposing the glass to an ion exchange solution. In embodiments, the ion exchange solution may be a molten nitrate salt. In embodiments, the ion exchange solution contains sodium ions. In some embodiments, the ion exchange solution may be molten KNO₃, molten NaNO₃, or combinations thereof. In certain embodiments, the ion exchange solution may include less than or equal to 95% molten KNO₃, such as less than or equal to 90% molten KNO₃, less than or equal to 80% molten KNO₃, less than or equal to 70% molten KNO₃, less than or equal to 60% molten KNO₃, less than or equal to 50% molten KNO₃, less than or equal to 40% molten KNO₃, less than or equal to 30% molten KNO₃, less than or equal to 20% molten KNO₃, less than or equal to 10% molten KNO₃, or less. In embodiments, the ion exchange solution may include greater than or equal to 5% molten NaNO₃, such as greater than or equal to 10% molten NaNO₃, greater than or equal to 20% molten NaNO₃, greater than or equal to 30% molten NaNO₃, greater than or equal to 40% molten NaNO₃, greater than or equal to 50% molten NaNO₃, greater than or equal to 60% molten NaNO₃, greater than or equal to 70% molten NaNO₃, greater than or equal to 80% molten NaNO₃, greater than or equal to 90% molten NaNO₃, or 100% molten NaNO₃. In embodiments, the ion exchange solution may include less than or equal to 90% molten KNO₃ and greater than or equal to 10% molten NaNO₃, such as less than or equal to 80% molten KNO₃ and greater than or equal to 20% molten NaNO₃, less than or equal to 70% molten KNO₃ and greater than or equal to 30% molten NaNO₃, less than or equal to 60% molten KNO₃ and greater than or equal to 40% molten NaNO₃, less than or equal to 50% molten KNO₃ and greater than or equal to 50% molten NaNO₃, less than or equal to 40% molten KNO₃ and greater than or equal to 60% molten NaNO₃, less than or equal to 30% molten KNO₃ and greater than or equal to 70% molten NaNO₃, less than or equal to 20% molten KNO₃ and greater than or equal to 80% molten NaNO₃, less than or equal to 10% molten KNO₃ and greater than or equal to 90% molten NaNO₃, less than or equal to 1% molten KNO₃ and greater than or equal to 99% molten NaNO₃, and all ranges and sub-ranges between the foregoing values. In embodiments, other sodium and potassium salts may be used in the ion exchange solution, such as, for example sodium or potassium nitrites, phosphates, or sulfates. In embodiments, the ion exchange solution may include lithium salts, such as LiNO₃. In embodiments, the ion exchange solution contains 100% NaNO₃. The ion exchange solution is described herein on the basis of weight percent (wt %). In embodiments, additives may be present in the ion exchange solution, such as silicic acid.

The glass composition may be exposed to the ion exchange solution by dipping a glass substrate made from the glass composition into a bath of the ion exchange solution, spraying the ion exchange solution onto a glass substrate made from the glass composition, or otherwise physically applying the ion exchange solution to a glass substrate made from the glass composition to form the ion exchanged glass article. Upon exposure to the glass composition, the ion exchange solution may, according to embodiments, be at a temperature from greater than or equal to 360° C. to less than or equal to 500° C., such as from greater than or equal to 370° C. to less than or equal to 490° C., from greater than or equal to 380° C. to less than or equal to 480° C., from greater than or equal to 390° C. to less than or equal to 470° C., from greater than or equal to 400° C. to less than or equal to 460° C., from greater than or equal to 410° C. to less than or equal to 450° C., from greater than or equal to 420° C. to less than or equal to 440° C., greater than or equal to 430° C., and all ranges and sub-ranges between the foregoing values.

In embodiments, the glass composition may be exposed to the ion exchange solution for a duration of less than or equal to 16 hours, such as less than or equal to 15 hours, less than or equal to 14 hours, less than or equal to 13 hours, less than or equal to 12 hours, less than or equal to 11 hours, less than or equal to 10 hours, less than or equal to 9 hours, less than or equal to 8 hours, less than or equal to 7 hours, less than or equal to 6 hours, less than or equal to 5 hours, less than or equal to 4 hours, less than or equal to 3 hours, less than or equal to 2 hours, or less. In embodiments, the glass composition may be exposed to the ion exchange solution for a duration from greater than or equal to 1 hour to less than or equal to 16 hours, such as from greater than or equal to 2 hours to less than or equal to 15 hours, from greater than or equal to 3 hours to less than or equal to 14 hours, from greater than or equal to 4 hours to less than or equal to 13 hours, from greater than or equal to 5 hours to less than or equal to 12 hours, from greater than or equal to 6 hours to less than or equal to 11 hours, from greater than or equal to 7 hours to less than or equal to 10 hours, from greater than or equal to 8 hours to less than or equal to 9 hours, and all ranges and sub-ranges between the foregoing values. The glass compositions disclosed herein allow the glass articles to achieve high CT values (greater than or equal to 150 MPa) when ion exchanged in a sodium containing bath for less than or equal to 16 hours.

The ion exchange process may be performed in an ion exchange solution under processing conditions that provide an improved compressive stress profile as disclosed, for example, in U.S. Patent Application Publication No. 2016/0102011, which is incorporated herein by reference in its entirety. In some embodiments, the ion exchange process may be selected to form a parabolic stress profile in the glass articles, such as those stress profiles described in U.S. Patent Application Publication No. 2016/0102014, which is incorporated herein by reference in its entirety.

After an ion exchange process is performed, it should be understood that a composition at the surface of an ion exchanged glass article is be different than the composition of the as-formed glass substrate (i.e., the glass substrate before it undergoes an ion exchange process). This results from one type of alkali metal ion in the as-formed glass substrate, such as, for example Li⁺ or Na⁺, being replaced with larger alkali metal ions, such as, for example Na⁺ or K⁺, respectively. However, the glass composition at or near the center of the glass article will, in embodiments, still have the composition of the as-formed non-ion exchanged glass substrate utilized to form the glass article. As utilized herein, the center refers to any point in the glass article that is located a distance of at least 0.5t from every surface of the glass article, where t is the thickness of the glass article.

The glass articles disclosed herein may be incorporated into another article such as an article with a display (or display articles) (e.g., consumer electronics, including mobile phones, tablets, computers, navigation systems, and the like), architectural articles, transportation articles (e.g., automobiles, trains, aircraft, sea craft, etc.), appliance articles, or any article that requires some transparency, scratch-resistance, abrasion resistance or a combination thereof. An exemplary article incorporating any of the glass articles disclosed herein is shown in FIGS. 2A and 2B. Specifically, FIGS. 2A and 2B show a consumer electronic device 200 including a housing 202 having front 204, back 206, and side surfaces 208; electrical components (not shown) that are at least partially inside or entirely within the housing and including at least a controller, a memory, and a display 210 at or adjacent to the front surface of the housing; and a cover 212 at or over the front surface of the housing such that it is over the display. In embodiments, at least a portion of at least one of the cover 212 or the housing 202 may include any of the glass articles described herein.

Examples

Embodiments will be further clarified by the following examples. It should be understood that these examples are not limiting to the embodiments described above.

Glass compositions were prepared and analyzed. The analyzed glass compositions had the components listed in Table I below, and were prepared by conventional glass forming methods. In Table I, all components are in mol %, the strain point, the annealing point, the softening point, the stress optical coefficient, the refractive index, the Poisson's ratio (v), the Young's modulus (E), the shear modulus (G), and the liquidus viscosity of the glass compositions were measured according to the methods disclosed in this specification.

TABLE I
Example	A	B	C	D	E	F
SiO2	64.08	64.08	64.08	64.13	64.17	64.15
Al2O3	18.45	18.44	18.46	18.42	18.41	18.41
P2O5	0	0	0	0	0	0
B2O3	0	0	0	0	0	0
MgO	0	0	0	0	0	0
CaO	0.51	0.99	1.48	1.96	2.44	2.93
SrO	0	0	0	0	0	0
Li2O	12.92	12.92	12.9	12.88	12.84	12.86
Na2O	3.82	3.35	2.85	2.36	1.89	1.4
K2O	0	0	0	0	0	0
TiO2	0	0	0	0	0	0
SnO2	0	0	0	0	0	0
Fe2O3	0	0	0	0	0	0
ZrO2	0	0	0	0	0	0
Total	99.78	99.78	99.77	99.75	99.75	99.75
SiO2 + B2O3 +	99.78	99.78	99.77	99.75	99.75	99.75
Al2O3 +
CaO +
SrO + Li2O +
Na2O + K2O
Strain Point	640.5	641.9	642.6	645.1	646.9	649
(° C.)
Anneal Point	687.3	688.6	690	691.8	693.1	695.2
(° C.)
Softening
Point
(° C.)
Young's	84.5	85.2	85.2	85.4	86.0	86.2
Modulus
(GPa)
Shear	34.7	34.9	35.0	35.1	35.2	35.3
Modulus
(GPa)
Poisson's	0.219	0.221	0.218	0.216	0.222	0.222
ratio
Refractive	1.519	1.520	1.522	1.523	1.524	1.525
Index
Stress	2.842	2.828	2.782	2.809	2.803	2.825
Optical
Coefficient
Liquidus	4336	3056	2892	2206	2167	1960
Viscosity
(P)
Example	G	H	I	J	K	L
SiO2	43.01	44.04	43.86	44.57	44.4	43.32
Al2O3	23.34	22.89	23.25	22.78	22.8	23.16
P2O5	0	0	0	0	0	0
B2O3	4.04	1.81	5.63	1.81	1.8	1.78
MgO	0.32	0.35	0.28	0.34	0.33	0.36
CaO	14.56	16.17	12.34	15.44	14.98	16.59
SrO	0.01	0.01	0.01	0.01	0.01	0.01
Li2O	12.88	12.87	12.78	13.2	13.82	13.39
Na2O	1.32	1.33	1.33	1.34	1.33	0.84
K2O	0.45	0.45	0.46	0.44	0.46	0.46
TiO2	0	0	0	0	0	0
SnO2	0.06	0.05	0.06	0.05	0.06	0.06
Fe2O3	0.02	0.02	0.01	0.02	0.02	0.02
ZrO2	0	0	0	0	0	0
Total	100.01	99.99	100.01	100	100.01	99.99
SiO2 + B2O3 +	95.57	97.76	94.03	97.78	97.8	97.77
Al2O3 +
CaO +
SrO + Li2O +
Na2O + K2O
Strain Point	551.5	567.8	544.4	560.6	563.1	571.9
(° C.)
Anneal Point	590.1	605.9	584.1	598.5	601.2	609.8
(° C.)
Softening	756.9	769.8	753.7	763.8	766.3	773.3
Point
(° C.)
Young's	93.0	95.6	90.3	95.4	94.6	95.0
Modulus
(GPa)
Shear	37.2	38.1	36.0	38.1	37.9	38.1
Modulus
(GPa)
Poisson's	0.252	0.256	0.253	0.253	0.248	0.249
ratio
Refractive	1.563	1.568	1.556	1.567	1.566	1.568
Index
Stress	2.427	2.354	2.547	2.351	2.414	2.342
Optical
Coefficient
Liquidus		252	123	215		91
Viscosity
(P)
Example	M	N	O	P	Q	R
SiO2	52.5	52.06	52.07	52.05	52.21	52.35
Al2O3	22.75	23.06	23.13	23.17	23.15	23.07
P2O5	0	0	0	0	0	0
B2O3	2	2.02	2.01	2.02	1.97	1.92
MgO	0.11	0.09	0.06	0.07	0.07	0.07
CaO	3.51	2.56	1.55	1.55	1.55	1.52
SrO	4.3	5.33	6.31	5.37	4.39	3.42
Li2O	12.97	13.02	13	13.9	14.8	15.79
Na2O	1.33	1.34	1.35	1.34	1.35	1.35
K2O	0.46	0.47	0.46	0.46	0.46	0.45
TiO2	0	0	0	0	0	0
SnO2	0.05	0.05	0.05	0.05	0.05	0.05
Fe2O3	0.01	0.01	0.01	0.01	0.01	0.01
ZrO2	0	0	0	0	0	0
Total	99.99	100.01	100	99.99	100.01	100
SiO2 + B2O3 +	97.82	97.84	97.87	97.84	97.91	97.95
Al2O3 +
CaO +
SrO + Li2O +
Na2O + K2O
Strain Point	602.4	603.5	603.7	598.1	600.7	594.9
(° C.)
Anneal Point	645	646.3	646.4	640.2	642.5	637.4
(° C.)
Softening	826	833.3	838	828.6	823.4	827.7
Point
(° C.)
Young's	88.9	89.2	88.9	87.9	88.4	88.3
Modulus
(GPa)
Shear	35.9	35.9	35.8	35.6	35.6	35.6
Modulus
(GPa)
Poisson's	0.237	0.244	0.244	0.234	0.242	0.237
ratio
Refractive	1.546	1.546	1.546	1.544	1.543	1.542
Index
Stress	2.589	2.578	2.608	2.597	2.617	2.621
Optical
Coefficient
Liquidus	<359	<324		240		<353
Viscosity
(P)
Example	S	T	U	V	X	Y
SiO2	51.92	52.41	52.39	52.03	52.27	52.29
Al2O3	22.64	22.35	22.46	22.68	22.6	22.53
P2O5	0	0	0	0	0	0
B2O3	4.04	4.02	3.98	4.06	4.04	4.03
MgO	0.15	0.14	0.12	1.08	2.11	1.06
CaO	6.25	5.14	4.13	5.22	4.16	4.15
SrO	0.01	0	0	0.01	0	0
Li2O	13.12	14.06	15.05	13.06	12.95	14.07
Na2O	1.35	1.35	1.35	1.35	1.36	1.35
K2O	0.46	0.46	0.46	0.46	0.46	0.46
TiO2	0	0	0	0	0	0
SnO2	0.06	0.06	0.06	0.06	0.06	0.06
Fe2O3	0.01	0.01	0.01	0.01	0.01	0.01
ZrO2	0	0	0	0	0	0
Total	100.01	100	100.01	100.02	100.02	100.01
SiO2 + B2O3 +	95.75	95.77	95.84	94.81	93.8	94.85
Al2O3 +
CaO +
SrO + Li2O +
Na2O + K2O
Strain Point	590.7	582.9	579.2	584.3	581.4	586.8
(° C.)
Anneal Point	633.4	625.4	621	627	624	630.8
(° C.)
Softening	810.2	810.5	806.5	813.9	813.4	812.1
Point
(° C.)
Young's	87.2	86.6	86.3	87.8	87.6	86.9
Modulus
(GPa)
Shear	35.1	35.0	34.8	35.4	35.4	35.1
Modulus
(GPa)
Poisson's	0.242	0.239	0.240	0.242	0.239	0.237
ratio
Refractive	1.539	1.538	1.536	1.539	1.538	1.537
Index
Stress	2.690	2.724	2.725	2.685	2.714	2.716
Optical
Coefficient
Liquidus	<350	<341	<305	<202	<251	<223
Viscosity
(P)
Example	Z	AA	BB	CC	DD	EE
SiO2	63.61	64.2	63.77	60.33	57.71	57.12
Al2O3	18.93	18.52	18.83	22.37	18.82	22.16
P2O5	0	0	0	0	0	0
B2O3	0	0	0	0	0	0
MgO	0.03	0.03	0.03	0.03	0.15	0.15
CaO	0.02	0.02	0.02	0.02	6.11	6.15
SrO	0	0	0	0	0	0
Li2O	13.13	13.32	13.7	13.58	13.52	12.96
Na2O	4.21	3.85	3.6	3.6	3.6	1.38
K2O	0.01	0.01	0.01	0.01	0.01	0.01
TiO2	0	0	0	0	0	0
SnO2	0.05	0.05	0.05	0.05	0.05	0.05
Fe2O3	0.01	0.01	0.01	0.01	0.01	0.01
ZrO2	0	0	0	0	0	0
Total	100	100.01	100.02	100	99.98	99.99
SiO2 + B2O3 +	99.91	99.92	99.93	99.91	99.77	99.78
Al2O3 +
CaO +
SrO + Li2O +
Na2O + K2O
Strain Point	645.5	648.3	653.2	658.4	561.8	652.1
(° C.)
Anneal Point	692.9	696.4	700.2	703.9	603.5	694.6
(° C.)
Softening	917.3	919.2	917.7	913.1		884.1
Point
(° C.)
Young's	84.2	84.4	84.3	87.2	89.5	90.4
Modulus
(GPa)
Shear	34.7	34.8	34.6	35.6	36.1	36.8
Modulus
(GPa)
Poisson's	0.215	0.215	0.219	0.226	0.238	0.230
ratio
Refractive	1.519	1.519	1.519	1.526	1.538	1.540
Index
Stress	2.845	2.828	2.850	2.777	2.612	2.644
Optical
Coefficient
Liquidus
Viscosity
(P)
Example	FF	GG	HH	II	JJ	KK
SiO2	54.79	54.72	54.44	54.57	54.67	54.83
Al2O3	22.63	22.67	22.65	22.74	22.71	21.71
P2O5	0	0	0	0	0	0
B2O3	0	0	0	0	0	0
MgO	0.03	0.07	0.11	0.04	0.03	0.04
CaO	0.02	1.98	4.01	0.03	0.04	0.02
SrO	0	0	0.01	1.96	3.88	0
Li2O	14.58	14.62	14.82	14.74	14.75	14.53
Na2O	7.88	5.86	3.88	5.85	3.86	7.83
K2O	0.01	0.01	0.01	0.01	0.01	0.01
TiO2	0.01	0.01	0.01	0.01	0.01	0.97
SnO2	0.05	0.05	0.05	0.05	0.05	0.05
Fe2O3	0.01	0.01	0.01	0.01	0.01	0.01
ZrO2	0	0	0	0	0	0
Total	100.01	100	100	100.01	100.02	100
SiO2 + B2O3 +	99.91	99.86	99.82	99.9	99.92	98.93
Al2O3 +
CaO +
SrO + Li2O +
Na2O + K2O
Strain Point	606.7	605	612.9	608.3	612.1
(° C.)
Anneal Point	649.5	647.7	654.1	650.6	654.7
(° C.)
Softening
Point
(° C.)
Young's	86.1	88.3	89.8	87.5	88.5
Modulus
(GPa)
Shear	35.1	35.8	36.3	35.6	36.0
Modulus
(GPa)
Poisson's	0.226	0.232	0.235	0.227	0.230
ratio
Refractive	1.527	1.532	1.538	1.533	1.538
Index
Stress	2.708	2.647	2.605	2.639	2.601	2.342
Optical
Coefficient
Liquidus
Viscosity
(P)

Additional glass compositions were prepared including components in the amounts listed in Table II below. In Table II, all components are in mol %.

TABLE II
											SiO2 +
											B2O3 +
											Al2O3 +
											SrO +
											Li2O +
Example											Na2O +
No.	SiO2	B2O3	Al2O3	Li2O	Na2O	K2O	MgO	CaO	SrO	BaO	K2O
0	51.74	0	21.44	11.94	5.62	0	0.3	8.89	0	0	99.63
1	51.38	0	21.76	12.15	5.63	0	0.25	7.24	1.52	0	99.68
2	51.61	0	21.53	13.22	5.62	0	0.26	7.43	0.25	0	99.66
3	51.08	0	22.02	12.38	5.62	0	0.22	6.03	2.56	0	99.69
4	51.23	0	21.87	13.44	5.61	0	0.22	5.81	1.75	0	99.71
5	51.53	0	21.58	14.2	5.61	0	0.23	6.32	0.46	0	99.7
6	50.81	0	22.26	12.56	5.59	0	0.19	4.99	3.49	0	99.7
7	50.9	0	22.15	13.63	5.59	0	0.19	4.75	2.7	0	99.72
8	51.12	0	21.94	14.39	5.59	0	0.19	4.81	1.89	0	99.74
9	51.46	0	21.61	15.18	5.59	0	0.2	5.24	0.65	0	99.73
10	50.75	0	22.29	12.45	5.55	0	0.16	3.91	4.79	0	99.74
11	51.03	0	22	12.2	5.52	0	0.12	3.1	5.91	0	99.76
12	50.73	0	22.29	13.4	5.5	0	0.14	3.28	4.56	0	99.76
13	51.47	0	21.55	12.08	5.51	0	0.09	2.09	7.08	0	99.78
14	51.07	0	21.94	13.17	5.48	0	0.1	2.43	5.69	0	99.78
15	50.82	0	22.17	14.06	5.46	0	0.11	2.62	4.65	0	99.78
16	52.06	0	20.96	12.1	5.5	0	0.06	0.59	8.57	0	99.78
17	51.72	0	21.28	13.17	5.49	0	0.06	0.91	7.23	0	99.8
18	51.42	0	21.57	13.97	5.46	0	0.07	1.21	6.18	0	99.81
19	51.13	0	21.84	14.82	5.44	0	0.08	1.46	5.11	0	99.8
20	50.69	0	22.35	13.11	5.56	0	0.17	4.18	3.84	0	99.73
21	50.77	0	22.26	13.95	5.56	0	0.17	4.19	3	0	99.73
22	50.97	0	22.06	14.75	5.57	0	0.17	4.19	2.2	0	99.74
23	51.22	0	21.81	15.59	5.57	0	0.17	4.2	1.36	0	99.75
24	50.65	0	22.36	13.81	5.52	0	0.15	3.51	3.9	0	99.75
25	50.7	0	22.3	14.74	5.52	0	0.15	3.47	3.03	0	99.76
26	50.89	0	22.1	15.67	5.54	0	0.14	3.38	2.2	0	99.78
27	50.69	0	22.29	14.47	5.47	0	0.12	2.88	3.96	0	99.76
28	50.7	0	22.27	15.51	5.49	0	0.12	2.79	3.03	0	99.79
29	50.81	0	22.15	15.23	5.44	0	0.1	2.15	4.02	0	99.8
30	51.35	0	21.67	16.54	5.56	0	0.16	3.89	0.75	0	99.76
31	50.94	0	22.03	16.3	5.53	0	0.13	3.08	1.9	0	99.78
32	51.26	0	21.7	17.62	5.54	0	0.14	2.95	0.7	0	99.77
33	50.74	0	22.2	16.16	5.48	0	0.11	2.49	2.72	0	99.79
34	50.9	0	22.02	17.29	5.51	0	0.11	2.27	1.81	0	99.8
35	51.2	0	21.72	18.74	5.52	0	0.11	2.03	0.58	0	99.79
36	50.89	0	22.04	16.2	5.43	0	0.09	1.55	3.71	0	99.82
37	50.87	0	22.03	17.41	5.45	0	0.08	1.37	2.68	0	99.81
38	50.97	0	21.91	18.67	5.48	0	0.08	1.09	1.7	0	99.82
39	51.21	0	21.66	20.22	5.5	0	0.09	0.79	0.43	0	99.81
40	50.2	6.72	22.47	10.55	1.4	0.3	8.28	0.04	0	0	91.68
41	49.87	6.77	22.73	10.5	1.48	0.34	6.91	1.36	0	0	93.05
42	50.04	6.7	22.67	11.61	1.43	0.32	7.12	0.05	0	0	92.82
43	49.63	6.84	22.93	10.41	1.53	0.35	5.87	2.38	0	0	94.07
44	49.76	6.7	22.99	11.51	1.51	0.36	5.69	1.42	0	0	94.25
45	49.95	6.66	22.86	12.41	1.46	0.34	6.19	0.07	0	0	93.75
46	49.3	7.14	23.02	10.36	1.55	0.36	4.81	3.41	0	0	95.14
47	49.5	6.84	23.17	11.44	1.54	0.37	4.61	2.45	0	0	95.31
48	49.68	6.66	23.2	12.31	1.52	0.37	4.73	1.46	0	0	95.2
49	49.86	6.62	23.08	13.24	1.48	0.35	5.22	0.09	0	0	94.72
50	48.63	8.05	22.82	10.41	1.52	0.33	3.4	4.81	0	0	96.57
51	48.21	8.69	22.64	10.51	1.45	0.31	2.37	5.82	0	0	97.63
52	48.56	8.19	22.88	11.58	1.47	0.33	2.43	4.55	0	0	97.56
53	48.13	8.82	22.68	10.56	1.36	0.3	1.39	6.76	0	0	98.61
54	48.26	8.69	22.73	11.7	1.38	0.31	1.4	5.54	0	0	98.61
55	48.52	8.34	22.9	12.55	1.39	0.33	1.42	4.56	0	0	98.59
56	48.45	8.38	22.97	10.48	1.25	0.3	0.11	8	0	0	99.83
57	48.41	8.49	22.93	11.71	1.26	0.31	0.07	6.81	0	0	99.92
58	48.49	8.44	22.95	12.64	1.25	0.32	0.05	5.85	0	0	99.94
59	48.7	8.23	23.05	13.57	1.25	0.33	0.04	4.84	0	0	99.97
60	49.03	7.46	23.03	10.91	1.54	0.35	3.81	3.82	0	0	96.14
61	49.34	7.01	23.22	11.72	1.54	0.37	3.91	2.82	0	0	96.02
62	49.57	6.72	23.31	12.58	1.53	0.38	4.02	1.82	0	0	95.91
63	49.69	6.63	23.32	13.49	1.51	0.37	4.13	0.8	0	0	95.81
64	48.85	7.73	23.05	11.8	1.5	0.35	2.82	3.88	0	0	97.16
65	49.21	7.19	23.29	12.62	1.51	0.37	2.9	2.86	0	0	97.05
66	49.46	6.84	23.44	13.49	1.51	0.38	2.99	1.84	0	0	96.96
67	48.75	7.96	23.05	12.77	1.43	0.35	1.79	3.89	0	0	98.2
68	49.11	7.41	23.32	13.61	1.44	0.36	1.85	2.86	0	0	98.11
69	48.83	7.99	23.13	13.8	1.32	0.34	0.75	3.84	0	0	99.25
70	49.71	6.65	23.34	14.41	1.48	0.36	3.85	0.11	0	0	96.06
71	49.47	6.84	23.49	14.11	1.49	0.38	2.66	1.5	0	0	97.28
72	49.57	6.79	23.49	15.38	1.47	0.36	2.76	0.12	0	0	97.18
73	49.19	7.32	23.4	14.25	1.41	0.37	1.52	2.5	0	0	98.44
74	49.36	7.05	23.55	15.14	1.42	0.37	1.56	1.49	0	0	98.38
75	49.42	7.01	23.57	16.42	1.42	0.35	1.63	0.11	0	0	98.3
76	49.08	7.73	23.3	14.8	1.25	0.35	0.04	3.45	0	0	99.96
77	49.29	7.39	23.5	15.71	1.27	0.36	0.04	2.42	0	0	99.94
78	49.35	7.24	23.62	16.63	1.3	0.35	0.04	1.43	0	0	99.92
79	49.33	7.26	23.65	17.94	1.33	0.33	0.04	0.07	0	0	99.91
80	54.79	3.81	21.1	9.75	1.36	0.36	8.77	0.08	0	0	91.25
81	54.24	3.74	21.58	10.24	1.37	0.36	7.13	1.35	0	0	92.88
82	54.46	3.59	21.5	11.13	1.42	0.36	7.33	0.21	0	0	92.67
83	53.69	3.79	22.07	10.65	1.36	0.36	5.81	2.27	0	0	94.19
84	53.77	3.53	22.16	11.69	1.43	0.36	5.51	1.54	0	0	94.48
85	54.14	3.42	21.9	12.26	1.48	0.36	6.11	0.34	0	0	93.9
86	53.16	3.94	22.49	10.92	1.33	0.37	4.66	3.11	0	0	95.32
87	53.22	3.62	22.64	12.03	1.41	0.37	4.29	2.42	0	0	95.71
88	53.4	3.38	22.62	12.81	1.48	0.36	4.27	1.67	0	0	95.72
89	53.78	3.25	22.34	13.46	1.53	0.36	4.8	0.47	0	0	95.19
90	52.7	4.22	22.81	10.83	1.31	0.39	3.5	4.22	0	0	96.48
91	52.47	4.56	22.82	10.54	1.32	0.42	2.67	5.18	0	0	97.31
92	52.6	4.01	23.06	11.78	1.36	0.41	2.71	4.06	0	0	97.28
93	52.24	5.08	22.67	10.3	1.34	0.46	1.66	6.25	0	0	98.34
94	52.41	4.44	22.98	11.44	1.37	0.44	1.85	5.07	0	0	98.15
95	52.53	3.97	23.19	12.39	1.4	0.43	1.92	4.17	0	0	98.08
96	51.98	5.88	22.34	10.1	1.35	0.49	0.12	7.74	0	0	99.88
97	52.1	5.3	22.64	11.21	1.38	0.48	0.31	6.58	0	0	99.69
98	52.23	4.79	22.88	12.08	1.4	0.47	0.5	5.65	0	0	99.5
99	52.39	4.26	23.11	13	1.43	0.46	0.65	4.7	0	0	99.35
100	52.86	3.93	22.82	11.5	1.34	0.38	3.73	3.43	0	0	96.26
101	52.98	3.63	22.88	12.39	1.4	0.37	3.63	2.7	0	0	96.35
102	53.12	3.37	22.9	13.25	1.48	0.37	3.53	1.97	0	0	96.46
103	53.29	3.18	22.84	14.11	1.55	0.37	3.49	1.16	0	0	96.5
104	52.7	3.81	23.09	12.22	1.37	0.4	2.91	3.5	0	0	97.09
105	52.78	3.5	23.17	13.22	1.43	0.39	2.76	2.73	0	0	97.22
106	52.88	3.25	23.19	14.23	1.51	0.38	2.57	1.97	0	0	97.41
107	52.61	3.71	23.26	12.86	1.41	0.42	2.16	3.56	0	0	97.83
108	52.68	3.4	23.34	13.96	1.46	0.41	2.01	2.73	0	0	97.98
109	52.56	3.71	23.31	13.53	1.44	0.44	1.35	3.65	0	0	98.64
110	53.31	3.08	22.86	15.08	1.59	0.38	3.15	0.54	0	0	96.84
111	52.85	3.16	23.24	14.89	1.53	0.39	2.23	1.68	0	0	97.74
112	53.04	3.02	23.08	16.27	1.6	0.39	2.11	0.47	0	0	97.87
113	52.68	3.3	23.37	14.6	1.48	0.42	1.69	2.45	0	0	98.3
114	52.73	3.12	23.32	15.82	1.54	0.41	1.45	1.59	0	0	98.53
115	52.87	3.04	23.12	17.42	1.59	0.42	1.23	0.31	0	0	98.77
116	52.55	3.67	23.31	14.43	1.46	0.45	0.7	3.41	0	0	99.28
117	52.62	3.38	23.34	15.69	1.5	0.45	0.57	2.45	0	0	99.43
118	52.65	3.23	23.25	17.07	1.53	0.45	0.34	1.47	0	0	99.65
119	52.75	3.19	23.01	18.92	1.56	0.45	0.04	0.07	0	0	99.95
120	47.58	10.41	25.97	14.58	1.11	0.24	0.04	0.02	0	0	99.91
121	48.22	8.91	25.28	13.3	1.08	0.22	3.02	0	0	0	97.01
122	47.31	8.76	25.64	13.87	1.13	0.23	0.32	2.69	0	0	99.63
123	48.84	7.94	24.63	12.32	1.07	0.22	5.07	0	0	0	95.02
124	48.03	7.44	24.86	12.51	1.1	0.21	3.23	2.56	0	0	96.71
125	47.09	7.66	25.35	13.32	1.15	0.22	0.49	4.67	0	0	99.46
126	49.44	7.02	23.93	11.52	1.1	0.23	6.88	0	0	0	93.24
127	48.64	6.53	24.19	11.61	1.11	0.22	5.17	2.48	0	0	94.78
128	47.81	6.43	24.52	12.01	1.14	0.21	3.31	4.52	0	0	96.64
129	46.82	6.64	25.02	12.83	1.19	0.22	0.6	6.64	0	0	99.36
130	49.99	5.8	22.95	11.02	1.19	0.28	8.89	0	0	0	91.23
131	50.19	4.82	22.23	11.07	1.31	0.34	10.11	0	0	0	89.96
132	49.47	4.68	22.74	10.86	1.25	0.29	8.22	2.45	0	0	91.74
133	50.31	3.72	21.57	11.34	1.43	0.42	11.21	0	0	0	88.79
134	49.65	3.64	22.03	11.02	1.37	0.36	9.38	2.49	0	0	90.56
135	49.04	3.57	22.42	10.89	1.34	0.32	7.97	4.41	0	0	91.99
136	50.47	1.95	20.87	11.83	1.59	0.5	12.68	0.05	0	0	87.26
137	49.84	2.02	21.22	11.49	1.54	0.45	10.82	2.56	0	0	89.12
138	49.29	2.01	21.55	11.28	1.5	0.42	9.44	4.46	0	0	90.51
139	48.64	1.98	21.92	11.15	1.48	0.38	8.03	6.38	0	0	91.93
140	49.47	6.02	23.46	11.09	1.14	0.24	7.4	1.13	0	0	92.55
141	48.74	5.89	23.84	11.25	1.14	0.22	5.75	3.12	0	0	94.2
142	47.9	5.8	24.19	11.6	1.17	0.22	3.96	5.15	0	0	96.03
143	47.01	5.71	24.5	12.08	1.21	0.22	2.02	7.21	0	0	97.94
144	49.16	4.97	23.11	10.88	1.21	0.26	7.28	3.09	0	0	92.68
145	48.38	4.88	23.49	11.02	1.21	0.24	5.66	5.08	0	0	94.3
146	47.48	4.81	23.84	11.36	1.24	0.23	3.89	7.11	0	0	96.07
147	48.72	3.9	22.78	10.85	1.3	0.29	7.06	5.06	0	0	92.9
148	47.89	3.84	23.16	10.99	1.3	0.27	5.47	7.05	0	0	94.5
149	48.21	2.76	22.47	10.99	1.4	0.32	6.77	7.03	0	0	93.18
150	46.3	5.33	24.58	12.35	1.27	0.23	0.64	9.26	0	0	99.32
151	47.01	4.46	23.84	11.47	1.28	0.24	3.22	8.45	0	0	96.75
152	45.81	4.35	24.24	12.17	1.35	0.25	0.57	11.22	0	0	99.39
153	47.41	3.47	23.17	11.11	1.34	0.28	4.82	8.37	0	0	95.15
154	46.46	3.43	23.51	11.48	1.38	0.27	3.03	10.41	0	0	96.94
155	45.27	3.31	23.92	12.14	1.44	0.28	0.42	13.19	0	0	99.55
156	47.6	1.94	22.42	11.16	1.47	0.34	6.04	8.99	0	0	93.92
157	46.7	1.92	22.78	11.36	1.48	0.33	4.41	10.99	0	0	95.56
158	45.77	1.88	23.12	11.69	1.51	0.32	2.65	13.03	0	0	97.32
159	44.66	1.73	23.53	12.27	1.57	0.32	0.09	15.8	0	0	99.88
160	53.23	13.5	23.23	9.96	0.9	0.29	0.99	0	0	0	101.11
161	51.29	10.25	23.87	10.32	1.01	0.29	3.57	0	0	0	97.03
162	51.81	10.92	23.62	10.21	0.95	0.3	1.09	1.06	0	0	98.87
163	49.67	7.78	24.41	10.56	1.11	0.27	5.28	0.89	0	0	94.69
164	49.61	7.64	24.38	10.55	1.08	0.28	3.56	2.87	0	0	96.41
165	50.66	9.06	23.93	10.38	1	0.3	1.13	3.51	0	0	98.84
166	48.2	5.65	24.74	10.81	1.22	0.26	6.83	2.26	0	0	93.14
167	47.9	5.32	24.9	10.79	1.19	0.26	5.18	4.44	0	0	94.8
168	48.29	5.88	24.71	10.72	1.14	0.27	3.51	5.44	0	0	96.45
169	49.45	7.31	24.22	10.55	1.05	0.3	1.13	5.95	0	0	98.83
170	47.32	4.06	24.22	11.22	1.35	0.29	8.82	2.69	0	0	91.15
171	47.51	3.53	23.24	11.55	1.41	0.34	10.28	2.1	0	0	89.68
172	46.5	2.98	24.15	11.4	1.38	0.3	8.21	5.03	0	0	91.74
173	48.18	3.08	22.09	11.83	1.45	0.39	11.71	1.23	0	0	88.25
174	46.94	2.54	23.06	11.72	1.43	0.36	9.67	4.25	0	0	90.3
175	46.18	2.25	23.7	11.61	1.41	0.34	8.16	6.32	0	0	91.81
176	49.43	2.15	20.69	12.02	1.48	0.45	13.68	0.05	0	0	86.27
177	48.13	1.8	21.52	12.01	1.48	0.43	11.59	3.02	0	0	88.39
178	47.2	1.52	22.18	11.94	1.46	0.41	10.08	5.17	0	0	89.88
179	46.39	1.32	22.8	11.85	1.44	0.39	8.6	7.18	0	0	91.37
180	47.14	4.17	24.77	11.04	1.29	0.26	7.27	4.03	0	0	92.7
181	47.05	4.23	25	10.94	1.25	0.26	5.67	5.57	0	0	94.3
182	47.32	4.68	24.92	10.86	1.2	0.27	4.04	6.68	0	0	95.93
183	47.85	5.34	24.64	10.78	1.14	0.29	2.33	7.6	0	0	97.64
184	46.35	3.12	24.61	11.25	1.34	0.28	7.2	5.82	0	0	92.77
185	46.14	3.18	24.89	11.15	1.3	0.28	5.62	7.41	0	0	94.35
186	46.33	3.58	24.87	11.06	1.25	0.28	4.01	8.59	0	0	95.96
187	45.88	2.39	24.21	11.47	1.38	0.31	7.16	7.17	0	0	92.81
188	45.59	2.48	24.52	11.37	1.33	0.31	5.61	8.76	0	0	94.36
189	45.71	1.76	23.68	11.66	1.4	0.35	7.13	8.28	0	0	92.84
190	47.93	5.34	24.43	10.78	1.12	0.3	1.12	8.94	0	0	98.84
191	46.2	3.46	24.74	11.1	1.24	0.3	3.45	9.46	0	0	96.5
192	47.02	4.19	24.38	10.96	1.17	0.31	1.11	10.82	0	0	98.85
193	45.45	2.36	24.41	11.41	1.33	0.32	5.09	9.61	0	0	94.89
194	45.64	2.72	24.41	11.3	1.27	0.32	3.46	10.85	0	0	96.51
195	46.41	3.22	24.16	11.12	1.2	0.33	1.11	12.41	0	0	98.85
196	45.6	1.31	23.43	11.72	1.39	0.37	6.61	9.54	0	0	93.36
197	45.33	1.48	23.69	11.62	1.35	0.36	5.06	11.06	0	0	94.89
198	45.42	1.71	23.78	11.5	1.3	0.36	3.43	12.46	0	0	96.53
199	46.09	1.94	23.68	11.29	1.23	0.36	1.07	14.3	0	0	98.89
200	45.22	2.03	20.4	23.72	6.46	0	0	2.07	0	0	99.9
201	47.03	2.32	20.29	21.88	6.3	0	0	2.07	0	0	99.89
202	46.32	2.13	19.64	23.48	6.24	0	0	2.08	0	0	99.89
203	48.33	2.55	20.14	20.6	6.2	0	0	2.06	0	0	99.88
204	48.25	2.43	19.53	21.57	6.04	0	0	2.07	0	0	99.89
205	47.33	2.22	19.04	23.19	6.04	0	0	2.07	0	0	99.89
206	49.38	2.77	20.04	19.52	6.16	0	0	2.04	0	0	99.91
207	49.34	2.62	19.48	20.43	5.97	0	0	2.06	0	0	99.9
208	49.13	2.49	18.99	21.36	5.85	0	0	2.06	0	0	99.88
209	48.35	2.32	18.44	22.9	5.83	0	0	2.06	0	0	99.9
210	50.71	3.04	19.99	18.05	6.11	0	0	1.99	0	0	99.89
211	51.95	3.3	19.84	16.82	6.08	0	0	1.91	0	0	99.9
212	51.08	2.96	19.57	18.37	5.9	0	0	2.01	0	0	99.89
213	53.38	3.62	19.49	15.51	6.08	0	0	1.79	0	0	99.87
214	52.3	3.22	19.39	17.15	5.89	0	0	1.93	0	0	99.88
215	51.65	2.94	19.23	18.3	5.75	0	0	2.01	0	0	99.88
216	55.41	3.99	18.92	13.77	6.14	0	0	1.64	0	0	99.87
217	54.25	3.66	18.8	15.43	5.96	0	0	1.76	0	0	99.86
218	53.42	3.35	18.77	16.65	5.81	0	0	1.86	0	0	99.86
219	52.7	3.05	18.67	17.84	5.66	0	0	1.95	0	0	99.87
220	50.07	2.84	19.77	19.14	6.04	0	0	2.04	0	0	99.9
221	49.82	2.68	19.36	20.08	5.9	0	0	2.06	0	0	99.9
222	49.68	2.56	18.86	20.97	5.77	0	0	2.06	0	0	99.9
223	49.46	2.46	18.28	21.96	5.68	0	0	2.05	0	0	99.89
224	50.61	2.82	19.46	19.09	5.87	0	0	2.05	0	0	99.9
225	50.36	2.67	19.01	20.05	5.73	0	0	2.07	0	0	99.89
226	50.23	2.58	18.44	20.96	5.62	0	0	2.06	0	0	99.89
227	51.14	2.8	19.15	19.04	5.71	0	0	2.05	0	0	99.89
228	50.85	2.66	18.67	20.05	5.59	0	0	2.07	0	0	99.89
229	51.71	2.8	18.75	19	5.59	0	0	2.03	0	0	99.88
230	49.44	2.42	17.68	22.7	5.62	0	0	2.03	0	0	99.89
231	50.34	2.56	18.08	21.31	5.55	0	0	2.05	0	0	99.89
232	49.98	2.49	17.13	22.75	5.52	0	0	2.02	0	0	99.89
233	50.94	2.63	18.34	20.39	5.53	0	0	2.06	0	0	99.89
234	50.75	2.58	17.62	21.42	5.48	0	0	2.04	0	0	99.89
235	50.4	2.54	16.58	22.9	5.47	0	0	2.01	0	0	99.9
236	51.97	2.77	18.26	19.35	5.51	0	0	2.02	0	0	99.88
237	51.61	2.66	17.67	20.46	5.45	0	0	2.03	0	0	99.88
238	51.33	2.63	16.91	21.57	5.43	0	0	2.02	0	0	99.89
239	50.95	2.6	15.82	23.1	5.45	0	0	1.98	0	0	99.9
240	45.17	2.32	23.32	23.61	5.42	0	0	0	0	0	99.84
241	46.63	2.63	22.77	21.86	5.98	0	0	0	0	0	99.87
242	46.83	2.55	22.4	22.47	5.61	0	0	0	0	0	99.86
243	47.86	2.83	22.19	20.5	6.51	0	0	0	0	0	99.89
244	48.48	2.88	21.87	20.36	6.3	0	0	0	0	0	99.89
245	48.25	2.74	21.8	21.31	5.79	0	0	0	0	0	99.89
246	49.01	2.92	21.64	19.57	6.74	0	0	0	0	0	99.88
247	49.54	2.98	21.26	19.45	6.66	0	0	0	0	0	99.89
248	49.82	3.01	21.24	19.41	6.42	0	0	0	0	0	99.9
249	49.66	2.88	21.21	20.25	5.9	0	0	0	0	0	99.9
250	50.59	2.97	21.74	18.45	6.11	0	0	0	0	0	99.86
251	51.77	3.13	22.15	17.29	5.52	0	0	0	0	0	99.86
252	51.54	2.96	21.3	18.43	5.64	0	0	0	0	0	99.87
253	52.74	3.44	22.23	15.99	5.47	0	0	0	0	0	99.87
254	52.57	3.13	21.6	17.4	5.16	0	0	0	0	0	99.86
255	52.31	3	20.95	18.29	5.31	0	0	0	0	0	99.86
256	53.9	3.85	21.95	14.25	5.93	0	0	0	0	0	99.88
257	53.65	3.59	21.34	15.79	5.51	0	0	0	0	0	99.88
258	53.44	3.36	20.87	16.9	5.3	0	0	0	0	0	99.87
259	53.06	3.21	20.19	17.95	5.46	0	0	0	0	0	99.87
260	50.12	2.95	21.24	19.08	6.49	0	0	0	0	0	99.88
261	50.19	2.99	20.91	19.2	6.6	0	0	0	0	0	99.89
262	50.45	3.04	20.81	19.12	6.49	0	0	0	0	0	99.91
263	50.74	3	20.7	19.31	6.15	0	0	0	0	0	99.9
264	51.11	2.95	20.93	18.85	6.03	0	0	0	0	0	99.87
265	51.05	2.99	20.38	19.12	6.35	0	0	0	0	0	99.89
266	51.23	3.01	20.05	19.26	6.34	0	0	0	0	0	99.89
267	51.86	2.97	20.56	18.79	5.7	0	0	0	0	0	99.88
268	51.57	3.01	19.7	19.37	6.25	0	0	0	0	0	99.9
269	52.28	3.08	19.83	18.87	5.82	0	0	0	0	0	99.88
270	51.15	2.9	20.24	19.8	5.8	0	0	0	0	0	99.89
271	51.51	2.97	19.67	19.55	6.2	0	0	0	0	0	99.9
272	51.87	2.78	19.3	20.38	5.56	0	0	0	0	0	99.89
273	51.63	3.03	19.13	19.72	6.39	0	0	0	0	0	99.9
274	51.84	2.89	18.62	20.4	6.14	0	0	0	0	0	99.89
275	52.35	2.61	18.23	21.39	5.3	0	0	0	0	0	99.88
276	52.24	3.2	18.73	19.32	6.4	0	0	0	0	0	99.89
277	51.88	3.13	17.64	20.41	6.84	0	0	0	0	0	99.9
278	52.16	2.85	17.08	21.5	6.3	0	0	0	0	0	99.89
279	52.84	2.45	16.73	22.67	5.18	0	0	0	0	0	99.87
280	52.85	1.88	23.35	12.38	1.25	0.43	0	5.9	1.94	0.02	99.98
281	52.13	1.8	23.33	12.53	1.31	0.47	0	5.27	2.69	0.46	99.53
282	52.84	1.82	23.18	12.49	1.29	0.44	0	5.12	1.59	1.23	98.77
283	51.82	1.73	23.38	12.51	1.35	0.5	0	4.83	3.23	0.64	99.35
284	52.28	1.73	23.14	12.58	1.35	0.48	0	4.55	2.31	1.58	98.42
285	52.94	1.77	23.03	12.55	1.31	0.45	0	4.54	1.32	2.09	97.91
286	51.8	1.69	23.37	12.39	1.39	0.52	0	4.34	3.8	0.68	99.3
287	52.22	1.69	23.14	12.48	1.39	0.51	0	4.11	2.83	1.63	98.37
288	52.61	1.69	22.97	12.56	1.38	0.49	0	3.99	2.01	2.31	97.7
289	53.21	1.71	22.89	12.56	1.33	0.45	0	3.94	1.04	2.87	97.13
290	52.14	1.7	22.92	12.21	1.48	0.52	0	3.55	4.85	0.62	99.37
291	52.42	1.72	22.43	12.09	1.55	0.5	0	2.75	6	0.53	99.46
292	52.87	1.72	22.38	12.18	1.54	0.5	0	2.95	4.36	1.49	98.5
293	52.57	1.71	22.13	11.97	1.59	0.48	0	1.73	7.43	0.39	99.61
294	53.12	1.73	21.91	12.05	1.61	0.48	0	2.06	5.64	1.39	98.6
295	53.59	1.74	21.83	12.1	1.6	0.48	0	2.23	4.34	2.08	97.91
296	52.71	1.66	22.08	11.75	1.58	0.46	0	0.16	9.5	0.09	99.9
297	53.2	1.7	21.78	11.84	1.62	0.46	0	0.51	7.75	1.14	98.86
298	53.71	1.72	21.54	11.9	1.64	0.46	0	0.77	6.37	1.89	98.11
299	54.32	1.74	21.37	11.93	1.64	0.45	0	0.97	4.99	2.59	97.41
300	52.19	1.69	23.07	12.31	1.44	0.52	0	3.79	3.86	1.12	98.87
301	52.47	1.68	23	12.41	1.42	0.51	0	3.76	2.92	1.83	98.17
302	52.83	1.67	22.88	12.49	1.4	0.49	0	3.64	2.08	2.51	97.48
303	53.32	1.66	22.79	12.52	1.37	0.47	0	3.45	1.29	3.13	96.87
304	52.85	1.7	22.58	12.24	1.5	0.51	0	3.2	3.66	1.75	98.24
305	53.21	1.68	22.6	12.31	1.47	0.5	0	3.15	2.67	2.41	97.59
306	53.62	1.66	22.62	12.36	1.43	0.48	0	3	1.81	3.03	96.98
307	53.65	1.72	22.02	12.15	1.56	0.48	0	2.53	3.54	2.33	97.65
308	54.12	1.7	22.14	12.18	1.52	0.48	0	2.47	2.49	2.92	97.1
309	54.47	1.74	21.55	12.03	1.61	0.46	0	1.71	3.57	2.86	97.14
310	53.96	1.64	22.77	12.44	1.34	0.45	0	3.05	0.67	3.68	96.32
311	54.1	1.64	22.56	12.31	1.42	0.47	0	2.69	1.45	3.36	96.64
312	54.85	1.61	22.75	12.24	1.33	0.45	0	2.28	0.41	4.09	95.92
313	54.61	1.69	22.07	12.12	1.51	0.47	0	2.15	2.14	3.25	96.76
314	55.16	1.65	22.36	12.08	1.43	0.45	0	1.89	1.27	3.73	96.29
315	55.94	1.59	22.78	11.96	1.31	0.43	0	1.4	0.21	4.39	95.62
316	55.2	1.73	21.4	11.91	1.61	0.44	0	1.05	3.28	3.38	96.62
317	55.86	1.7	21.69	11.85	1.53	0.44	0	0.91	2.19	3.84	96.17
318	56.53	1.64	22.16	11.74	1.42	0.43	0	0.6	1.25	4.24	95.77
319	57.36	1.57	22.83	11.56	1.27	0.41	0	0.04	0.12	4.86	95.16
320	54.59	1.4	22.57	11.31	1.56	0.34	8.04	0.34	0	0	92.11
321	53.79	1.44	23.08	11.71	1.54	0.38	6.62	1.44	0	0	93.38
322	53.98	1.47	22.93	11.56	1.63	0.4	6.6	0.51	0.44	0.48	92.92
323	53.3	1.46	23.41	12	1.49	0.41	5.45	2.13	0.19	0.16	94.39
324	53.19	1.51	23.46	11.98	1.61	0.44	5.08	1.56	0.56	0.61	94.31
325	53.56	1.53	23.18	11.74	1.69	0.45	5.45	0.63	0.85	0.92	93.63
326	53.01	1.47	23.6	12.23	1.4	0.43	4.36	2.73	0.43	0.34	95.3
327	52.8	1.52	23.72	12.22	1.52	0.47	4	2.19	0.79	0.79	95.23
328	52.84	1.57	23.66	12.13	1.64	0.49	3.96	1.63	1.01	1.08	94.97
329	53.22	1.59	23.36	11.89	1.74	0.49	4.3	0.71	1.3	1.39	94.3
330	53.05	1.53	23.56	12.36	1.32	0.44	3.26	3.7	0.44	0.36	96.4
331	53.45	1.62	23.25	12.37	1.32	0.45	2.52	4.62	0.21	0.2	97.29
332	52.84	1.59	23.65	12.35	1.36	0.46	2.54	3.63	0.79	0.81	96.67
333	54.18	1.74	22.69	12.34	1.35	0.47	1.58	5.57	0.03	0.06	98.37
334	53.38	1.68	23.24	12.32	1.36	0.46	1.8	4.54	0.57	0.65	97.55
335	52.93	1.65	23.53	12.28	1.38	0.46	1.88	3.79	1	1.1	97.02
336	55.43	1.86	21.76	12.21	1.39	0.49	0.07	6.81	0	0	99.95
337	54.59	1.82	22.32	12.24	1.39	0.48	0.36	5.73	0.51	0.58	99.08
338	53.98	1.78	22.73	12.2	1.39	0.47	0.6	4.95	0.89	1.01	98.39
339	53.5	1.74	23.04	12.14	1.39	0.46	0.77	4.18	1.32	1.45	97.77
340	52.8	1.51	23.72	12.33	1.38	0.45	3.46	2.99	0.72	0.65	95.9
341	52.64	1.54	23.8	12.29	1.49	0.47	3.39	2.4	1	0.99	95.63
342	52.65	1.58	23.75	12.21	1.61	0.5	3.31	1.84	1.25	1.3	95.39
343	52.83	1.62	23.58	12.08	1.71	0.52	3.25	1.21	1.56	1.64	95.11
344	52.66	1.57	23.77	12.34	1.39	0.46	2.72	3.11	1	0.99	96.3
345	52.53	1.59	23.81	12.28	1.48	0.48	2.61	2.47	1.37	1.39	96.01
346	52.59	1.62	23.7	12.19	1.58	0.51	2.47	1.84	1.74	1.77	95.77
347	52.69	1.62	23.68	12.27	1.4	0.46	2.08	3.26	1.23	1.3	96.61
348	52.6	1.63	23.66	12.18	1.46	0.48	1.94	2.53	1.73	1.77	96.27
349	52.93	1.68	23.43	12.14	1.4	0.46	1.38	3.36	1.55	1.66	96.95
350	53.02	1.64	23.37	11.96	1.74	0.53	2.9	0.7	2.04	2.09	95
351	52.68	1.64	23.56	12.11	1.6	0.51	2.16	1.6	2.06	2.07	95.76
352	53.12	1.66	23.15	11.88	1.67	0.53	1.99	0.57	2.73	2.69	95.31
353	52.7	1.65	23.52	12.1	1.47	0.48	1.66	2.29	2.05	2.08	96.26
354	52.92	1.66	23.25	11.95	1.52	0.5	1.43	1.5	2.66	2.61	95.96
355	53.41	1.67	22.76	11.71	1.57	0.51	1.17	0.38	3.5	3.32	95.51
356	53.18	1.7	23.16	11.99	1.4	0.46	0.8	3.11	2.06	2.13	97.06
357	53.23	1.69	23	11.85	1.41	0.46	0.64	2.24	2.76	2.72	96.64
358	53.49	1.68	22.67	11.69	1.42	0.47	0.38	1.34	3.53	3.35	96.29
359	54	1.67	22.15	11.44	1.43	0.47	0.06	0.1	4.52	4.16	95.78
360	56.43	3.39	18.55	12.41	4.37	0	0	4.86	0	0	100.01
361	56.17	3.39	18.58	12.61	4.17	0	0	4.2	0.88	0	100
362	56.33	3.32	18.57	13.11	4.16	0	0	4.23	0.27	0	99.99
363	56.02	3.41	18.61	12.82	4.07	0	0	3.71	1.35	0	99.99
364	56.18	3.3	18.55	13.4	3.97	0	0	3.58	1.03	0	100.01
365	56.26	3.26	18.61	13.66	3.99	0	0	3.76	0.47	0	100.01
366	55.93	3.45	18.59	13.02	4.05	0	0	3.25	1.69	0	99.98
367	56.21	3.3	18.45	13.71	3.93	0	0	3.1	1.3	0	100
368	56.28	3.22	18.47	14.06	3.84	0	0	3.1	1.03	0	100
369	56.24	3.21	18.63	14.23	3.84	0	0	3.28	0.59	0	100.02
370	55.83	3.51	18.5	13.06	4.05	0	0	2.7	2.36	0	100.01
371	55.67	3.54	18.41	13.04	4.02	0	0	2.28	3.03	0	99.99
372	56.14	3.38	18.27	13.68	3.96	0	0	2.3	2.26	0	99.99
373	55.43	3.59	18.36	13.17	4	0	0	1.79	3.65	0	99.99
374	55.88	3.45	18.27	13.56	3.95	0	0	1.88	3.01	0	100
375	56.24	3.32	18.18	14	3.91	0	0	1.91	2.45	0	100.01
376	55.11	3.67	18.36	13.47	3.98	0	0	1.08	4.32	0	99.99
377	55.44	3.56	18.3	13.78	3.94	0	0	1.19	3.79	0	100
378	55.76	3.46	18.26	13.99	3.91	0	0	1.27	3.36	0	100.01
379	56.08	3.35	18.23	14.28	3.87	0	0	1.33	2.87	0	100.01
380	56.07	3.41	18.44	13.46	4	0	0	2.82	1.79	0	99.99
381	56.32	3.28	18.34	14.01	3.91	0	0	2.8	1.34	0	100
382	56.4	3.19	18.35	14.41	3.81	0	0	2.79	1.04	0	99.99
383	56.33	3.16	18.5	14.68	3.74	0	0	2.79	0.8	0	100
384	56.31	3.32	18.24	13.96	3.94	0	0	2.41	1.81	0	99.99
385	56.56	3.2	18.16	14.57	3.85	0	0	2.37	1.28	0	99.99
386	56.58	3.14	18.24	15.02	3.76	0	0	2.33	0.92	0	99.99
387	56.45	3.26	18.13	14.29	3.89	0	0	2.02	1.96	0	100
388	56.66	3.17	18.11	14.92	3.82	0	0	1.97	1.35	0	100
389	56.43	3.25	18.16	14.53	3.85	0	0	1.62	2.17	0	100.01
390	56.27	3.17	18.63	15.07	3.7	0	0	2.63	0.54	0	100.01
391	56.57	3.14	18.3	15.3	3.72	0	0	2.17	0.78	0	99.98
392	56.29	3.2	18.67	15.68	3.67	0	0	2.14	0.35	0	100
393	56.67	3.16	18.16	15.2	3.79	0	0	1.81	1.22	0	100.01
394	56.56	3.18	18.36	15.71	3.72	0	0	1.73	0.72	0	99.98
395	56.24	3.27	18.78	16.22	3.69	0	0	1.65	0.16	0	100.01
396	56.41	3.26	18.25	14.9	3.82	0	0	1.31	2.07	0	100.02
397	56.47	3.25	18.36	15.51	3.78	0	0	1.23	1.4	0	100
398	56.36	3.3	18.59	16.12	3.75	0	0	1.13	0.76	0	100.01
399	56.08	3.4	18.99	16.8	3.73	0	0	1	0	0	100
400	51.22	0	22.05	13.67	4.18	0	0.12	8.7	0	0	99.82
401	51.02	0	21.93	13.81	4.21	0	0.11	7.39	1.45	0	99.81
402	51.15	0	22.08	14.69	4.29	0	0.11	7.65	0	0	99.86
403	50.94	0	21.75	13.99	4.15	0	0.1	6.39	2.59	0	99.81
404	51.02	0	21.88	14.87	4.26	0	0.1	6.29	1.49	0	99.81
405	51.13	0	22.07	15.48	4.36	0	0.1	6.81	0	0	99.85
406	50.89	0	21.55	14.14	4.06	0	0.1	5.43	3.73	0	99.8
407	51.01	0	21.66	15.07	4.15	0	0.09	5.28	2.64	0	99.81
408	51.09	0	21.81	15.72	4.26	0	0.09	5.42	1.52	0	99.82
409	51.16	0	22.02	16.34	4.4	0	0.09	5.91	0	0	99.83
410	50.77	0	21.42	14.01	4.01	0	0.09	4.29	5.3	0	99.8
411	50.62	0	21.39	13.71	4.03	0	0.07	3.45	6.6	0	99.8
412	50.88	0	21.44	14.87	4.05	0	0.07	3.56	5.01	0	99.81
413	50.45	0	21.34	13.44	4.04	0	0.06	2.49	8.04	0	99.8
414	50.71	0	21.41	14.56	4.07	0	0.06	2.67	6.4	0	99.82
415	50.94	0	21.45	15.46	4.08	0	0.06	2.74	5.16	0	99.83
416	50.29	0	21.21	13.19	4.02	0	0.05	1.06	10.01	0	99.78
417	50.49	0	21.3	14.26	4.06	0	0.05	1.24	8.46	0	99.81
418	50.69	0	21.36	15.11	4.08	0	0.04	1.37	7.21	0	99.82
419	50.95	0	21.41	16.03	4.09	0	0.04	1.45	5.92	0	99.85
420	50.91	0	21.48	14.61	4.04	0	0.09	4.61	4.15	0	99.8
421	51.04	0	21.58	15.37	4.11	0	0.09	4.68	3.03	0	99.81
422	51.15	0	21.7	16.07	4.21	0	0.09	4.77	1.92	0	99.82
423	51.23	0	21.84	16.78	4.32	0	0.08	4.87	0.8	0	99.84
424	50.99	0	21.47	15.26	4.05	0	0.08	3.84	4.21	0	99.82
425	51.17	0	21.52	16.11	4.09	0	0.08	3.84	3.08	0	99.81
426	51.32	0	21.61	16.94	4.16	0	0.08	3.84	1.97	0	99.84
427	51.08	0	21.47	15.88	4.07	0	0.06	3.03	4.31	0	99.84
428	51.32	0	21.48	16.84	4.08	0	0.06	2.97	3.16	0	99.85
429	51.18	0	21.45	16.54	4.08	0	0.05	2.12	4.48	0	99.85
430	51.34	0	21.88	17.62	4.36	0	0.08	4.59	0.05	0	99.84
431	51.44	0	21.6	17.51	4.16	0	0.07	3.52	1.62	0	99.85
432	51.57	0	21.72	18.66	4.26	0	0.07	3.51	0.12	0	99.84
433	51.46	0	21.47	17.42	4.07	0	0.06	2.61	2.82	0	99.85
434	51.67	0	21.48	18.43	4.08	0	0.06	2.48	1.72	0	99.86
435	51.84	0	21.55	19.75	4.14	0	0.06	2.36	0.21	0	99.85
436	51.35	0	21.41	17.39	4.06	0	0.04	1.4	4.25	0	99.86
437	51.68	0	21.37	18.52	4.01	0	0.05	1.22	3.08	0	99.88
438	51.95	0	21.32	19.69	3.97	0	0.05	0.98	1.95	0	99.86
439	52.15	0	21.33	21.23	3.99	0	0.06	0.74	0.42	0	99.86

Substrates were formed from compositions of Table I, and subsequently ion exchanged to form example articles. The ion exchange included submerging the substrates into a molten salt bath for the times reported in Table III below. The salt bath had the composition (in terms of nitrate salts) and temperature as reported in Table III below. The maximum central tension (CT) were measured according to the methods described herein and is reported in Table III.

TABLE III
Article	1	2	3	4	5	6
Composition	G	H	I	J	K	L
Temperature	460	460	460	460	460	460
(° C.)
Time	8	8	8	8	8	8
(hours)
Bath	90% K	90% K	90% K	90% K	90% K	90% K
Composition	10% Na	10% Na	10% Na	10% Na	10% Na	10% Na
CT	50.7	52.4	56.3	42.9	46.8	34.6
(MPa)
Article	7	8	9	10	11	12
Composition	G	H	I	J	K	L
Temperature	460	460	460	460	460	460
(° C.)
Time	16	16	16	16	16	16
(hours)
Bath	90% K	90% K	90% K	90% K	90% K	90% K
Composition	10% Na	10% Na	10% Na	10% Na	10% Na	10% Na
CT	68.2	68	72.1	61.8	72.9	65.5
(MPa)
Article	13	14	15	16	17	18
Composition	G	H	I	J	K	L
Temperature	460	460	460	460	460	460
(° C.)
Time	32	32	32	32	32	32
(hours)
Bath	90% K	90% K	90% K	90% K	90% K	90% K
Composition	10% Na	10% Na	10% Na	10% Na	10% Na	10% Na
CT	84.3	80	88.5	79.3	85.9	74
(MPa)
Article	19	20	21	22	23	24
Composition	M	N	O	P	Q	R
Temperature	400	400	400	400	400	400
(° C.)
Time	4	4	4	4	4	4
(hours)
Bath	100%	100%	100%	100%	100%	100%
Composition	Na	Na	Na	Na	Na	Na
CT	55.3	58.7	60.3	78.1	87.2	102.3
(MPa)
Article	25	26	27	28	29	30
Composition	M	N	O	P	Q	R
Temperature	400	400	400	400	400	400
(° C.)
Time	8	8	8	8	8	8
(hours)
Bath	100%	100%	100%	100%	100%	100%
Composition	Na	Na	Na	Na	Na	Na
CT	72.4	79	80.9	108.4	122.6	135.7
(MPa)
Article	31	32	33	34	35	36
Composition	M	N	O	P	Q	R
Temperature	400	400	400	400	400	400
(° C.)
Time	16	16	16	16	16	16
(hours)
Bath	100%	100%	100%	100%	100%	100%
Composition	Na	Na	Na	Na	Na	Na
CT	112.3	114	110.3	161.8	177.8	195.5
(MPa)
Article	37	38	39	40	41	42
Composition	M	N	O	P	Q	R
Temperature	460	460	460	460	460	460
(° C.)
Time	8	8	8	8	8	8
(hours)
Bath	90% K	90% K	90% K	90% K	90% K	90% K
Composition	10% Na	10% Na	10% Na	10% Na	10% Na	10% Na
CT
(MPa)	138.5	154.1	169.1	145.5	148.3	168.4
Article	43	44	45	46	47	48
Composition	M	N	O	P	Q	R
Temperature	460	460	460	460	460	460
(° C.)
Time	16	16	16	16	16	16
(hours)
Bath	90% K	90% K	90% K	90% K	90% K	90% K
Composition	10% Na	10% Na	10% Na	10% Na	10% Na	10% Na
CT	181	204.4	203.2	204.1	193.3	204
(MPa)
Article	49	50	51	52	53	54
Composition	M	N	O	P	Q	R
Temperature	460	460	460	460	460	460
(° C.)
Time	32	32	32	32	32	32
(hours)
Bath	90% K	90% K	90% K	90% K	90% K	90% K
Composition	10% Na	10% Na	10% Na	10% Na	10% Na	10% Na
CT	211.8	195.2	159	217	215.1	175.4
(MPa)
Article	55	56	57	58	59	60
Composition	Z	AA	BB	CC	DD	EE
Temperature	400	400	400	400	400	400
(° C.)
Time	4	4	4	4	4	4
(hours)
Bath	100%	100%	100%	100%	100%	100%
Composition	Na	Na	Na	Na	Na	Na
CT	231.7	233.5	235.2	227.4	113.1	104
(MPa)
Article	61	62	63	64	65	66
Composition	Z	AA	BB	CC	DD	EE
Temperature	400	400	400	400	400	400
(° C.)
Time	8	8	8	8	8	8
(hours)
Bath	100%	100%	100%	100%	100%	100%
Composition	Na	Na	Na	Na	Na	Na
CT	193	192.7	204.3	264.8	158.9	150.2
(MPa)
Article	67	68	69	70	71	72
Composition	Z	AA	BB	CC	DD	EE
Temperature	400	400	400	400	400	400
(° C.)
Time	16	16	16	16	16	16
(hours)
Bath	100%	100%	100%	100%	100%	100%
Composition	Na	Na	Na	Na	Na	Na
CT	127.4	125.1	129.1	201.6	212.1	196.7
(MPa)

All compositional components, relationships, and ratios described in this specification are provided in mol % unless otherwise stated. All ranges disclosed in this specification include any and all ranges and subranges encompassed by the broadly disclosed ranges whether or not explicitly stated before or after a range is disclosed.

It will be apparent to those skilled in the art that various modifications and variations can be made to the embodiments described herein without departing from the spirit and scope of the claimed subject matter. Thus, it is intended that the specification cover the modifications and variations of the various embodiments described herein provided such modification and variations come within the scope of the appended claims and their equivalents.

Claims

1. A glass-based article, comprising: a compressive stress region extending from a surface to a depth of compression;a maximum central tension of greater than or equal to 150 MPa;a composition at a center of the glass-based article comprising: greater than or equal to 30 mol % SiO2;greater than or equal to 10 mol % to less than or equal to 25 mol % Li2O;greater than or equal to 0 mol % to less than or equal to 17 mol % CaO;greater than or equal to 0 mol % to less than or equal to 3 mol % K2O; andgreater than or equal to 0 mol % to less than or equal to 14 mol % B2O3.

2. The glass-based article of claim 1, wherein the composition at the center comprises greater than or equal to 0 mol % to less than or equal to 11 mol % B2O3.

3. The glass-based article of claim 1, wherein the composition at the center comprises at least one of: less than or equal to 57.5 mol % SiO2;greater than or equal to 1 mol % SrO; andgreater than 0 mol % to less than or equal to 5 mol % B2O3.

4. The glass-based article of claim 1, wherein the composition at the center is characterized by SiO2+B2O3+Al2O3+CaO+SrO+Li2O+Na2O+K2O being greater than or equal to 99.7 mol %.

5. The glass-based article of claim 1, wherein the maximum central tension is greater than or equal to 200 MPa.

6. The glass-based article of claim 1, comprising a compressive stress of greater than or equal to 500 MPa.

7. The glass-based article of claim 1, wherein the depth of compression is greater than or equal to 0.15t, wherein t is a thickness of the glass-based article.

8. The glass-based article of claim 1, comprising a parabolic stress profile.

9. A consumer electronic product, comprising: a housing comprising a front surface, a back surface and side surfaces;electrical components at least partially within the housing, the electrical components comprising a controller, a memory, and a display, the display at or adjacent the front surface of the housing; anda cover disposed over the display,wherein at least a portion of at least one of the housing or the cover comprises the glass-based article of claim 1.

10. A method, comprising: contacting a glass-based substrate with an ion exchange salt to form a glass-based article;wherein: the glass-based article comprises a compressive stress region extending from a surface to a depth of compression and a maximum central tension of greater than or equal to 150 MPa;the ion exchange salt comprises sodium; andthe glass-based substrate comprises: greater than or equal to 30 mol % SiO2;greater than or equal to 10 mol % to less than or equal to 25 mol % Li2O;greater than or equal to 0 mol % to less than or equal to 17 mol % CaO;greater than or equal to 0 mol % to less than or equal to 3 mol % K2O; andgreater than or equal to 0 mol % to less than or equal to 14 mol % B2O3.

11. The method of claim 10, wherein the glass-based substrate comprises greater than or equal to 0 mol % to less than or equal to 11 mol % B2O3.

12. The method of claim 10, wherein the glass-based substrate comprises at least one of: less than or equal to 57.5 mol % SiO2;greater than or equal to 1 mol % SrO; andgreater than 0 mol % to less than or equal to 5 mol % B2O3.

13. The method of claim 10, wherein the glass-based substrate is characterized by SiO2+B2O3+Al2O3+CaO+SrO+Li2O+Na2O+K2O being greater than or equal to 99.7 mol %.

14. The method of claim 10, wherein the maximum central tension is greater than or equal to 200 MPa.

15. The method of claim 10, wherein the compressive stress region comprises a compressive stress of greater than or equal to 500 MPa.

16. The method of claim 10, wherein the depth of compression is greater than or equal to 0.15t, wherein tis a thickness of the glass-based article.

17. The method of claim 10, wherein the glass-based article comprises a parabolic stress profile.

18. The method of claim 10, wherein the ion exchange salt comprises NaNO3.

19. The method of claim 10, wherein the ion exchange salt is a molten salt bath at a temperature of greater than or equal to 380° C. to less than or equal to 480° C.

20. The method of claim 10, wherein the contacting extends for a time period of less than or equal to 16 hours.

21. A glass, comprising: greater than or equal to 30 mol % SiO2;greater than or equal to 10 mol % to less than or equal to 25 mol % Li2O;greater than or equal to 0.5 mol % to less than or equal to 17 mol % CaO;greater than or equal to 0 mol % to less than or equal to 3 mol % K2O;greater than or equal to 0 mol % to less than or equal to 11 mol % B2O3; andat least one of: less than or equal to 57.5 mol % SiO2;greater than or equal to 1 mol % SrO; andgreater than 0 mol % to less than or equal to 5 mol % B2O3;wherein SiO2+B2O3+Al2O3+CaO+SrO+Li2O+Na2O+K2O is greater than or equal to 99.7 mol %.