The present invention relates to glass compositions and glass products prepared therefrom, which can have a combination of high strain point, such as at least 590° C., and, with some embodiments, a coefficient of thermal expansion of at least 7.4 ppm/° C.
Glass substrates are used in a number of applications, such as substrates for magnetic recording articles and photovoltaic cells. An example of magnetic recording articles which include a glass substrate are hard disc drives used in computer related applications. The glass substrate of a hard disc drive typically has one or more magnetic materials applied thereto and/or thereover. The magnetic materials are typically applied to the glass substrate at an elevated temperature. With certain hard disc drive technologies, the magnetic materials are applied so as to form a perpendicular recording medium, in which the magnetic materials stand upright on the glass substrate. The formation of perpendicular recording media typically requires higher application temperatures compared to the temperatures typically required with the formation of longitudinal recording media. The higher temperatures associated with the formation of perpendicular recording media typically require a glass substrate having a strain point of at least 590° C.
With photovoltaic cells and modules, one or more layers of semiconductor materials are applied onto and/or over a substrate, such as a glass substrate. Application of each semiconductor layer is typically conducted at elevated temperatures. In the case of thin film photovoltaic cells and modules, even higher temperatures are typically required when forming each semiconductor layer, which can include cadmium (Cd) and/or telluride (Te) semiconductor materials and alloys thereof. The higher temperatures associated with forming a thin film photovoltaic cell or module, for example, that includes at least one CdTe layer, typically require a glass substrate having a strain point of at least 590° C.
With some applications, the glass substrate having a high strain point is part of an assembly that includes one or more other glass components having a lower strain point that provides, for example, a mounting surface for the assembly. Photovoltaic modules, for example, can include a glass backing plate. For economic reasons, such as reducing costs, the glass backing plate is formed from a lower cost material, such as soda-lime glass, which has a lower strain point. With such assemblies, it can be desirable that the coefficient of thermal expansion values of the low and high strain point glass components thereof have a minimum variance (or difference) therebetween. A minimum variance (or difference) in the coefficient of thermal expansion values can reduce or minimize the likelihood of delamination therebetween and/or reduced structural integrity of the assembly after exposure to repeated temperature fluctuations.
Glass compositions that include rare earth oxides, such as lanthanide oxide and/or yttrium oxide, can provide glass products having increased strain points. Glass compositions that include boron, such as boron trioxide, can also provide glass products having increased strain points. Such glass compositions can, however, provide glass products having increased costs associated therewith. In addition, such glass compositions can provide glass products having coefficient of thermal expansion values that are not sufficiently close enough (or matched) to the coefficient of thermal expansion values of lower cost and low strain point glass components, thus, undesirably precluding assembly with such lower cost and low strain point glass components.
It would be desirable to develop alternative glass compositions that provide glass products having increased strain points. In addition, it would be desirable that such newly developed alternative glass compositions also provide, at least in some applications, glass products having coefficient of thermal expansion values that are sufficiently close enough (or matched) to those of low strain point glass products, such as soda-lime glass.
In accordance with the present invention, there is provided a glass composition that comprises, consists essentially of, or consists of: 57 to 75 percent by weight of SiO2; 3 to 11 percent by weight of Al2O3; 6 to 11 percent by weight of Na2O; 16 to 21 percent by weight of CaO; 0.01 to 0.1 percent by weight of Li2O; and less than 0.05 percent by weight of K2O, in which each percent by weight is based on total weight of said glass composition.
In accordance with the present invention, there is further provided a glass product prepared from the above glass composition, in which the glass product has a strain point of at least 590° C. and, optionally, a coefficient of thermal expansion of at least 7.4 ppm/° C.
In accordance with the present invention, there is also provided a glass product having a bulk glass composition comprising, consisting essentially of, or consisting of: 57 to 75 percent by weight of SiO2; 3 to 11 percent by weight of Al2O3; 6 to 11 percent by weight of Na2O; 16 to 21 percent by weight of CaO; 0.01 to 0.1 percent by weight of Li2O; and less than 0.05 percent by weight of K2O, in which each percent by weight is based on total weight of the bulk glass composition.
In accordance with the present invention, there is additionally provided a magnetic recording article that comprises a glass substrate, in which the glass substrate has a bulk glass composition comprising, consisting essentially of, or consisting of: 57 to 75 percent by weight of SiO2; 3 to 11 percent by weight of Al2O3; 6 to 11 percent by weight of Na2O; 16 to 21 percent by weight of CaO; 0.01 to 0.1 percent by weight of Li2O; and less than 0.05 percent by weight of K2O, in which each percent by weight is based on total weight of said bulk glass composition.
In accordance with the present invention, there is further additionally provided a photovoltaic cell comprising a glass substrate and at least one semiconductor layer over the glass substrate, in which the glass substrate has a bulk glass composition comprising, consisting essentially of, or consisting of: 57 to 75 percent by weight of SiO2; 3 to 11 percent by weight of Al2O3; 6 to 11 percent by weight of Na2O; 16 to 21 percent by weight of CaO; 0.01 to 0.1 percent by weight of Li2O; and less than 0.05 percent by weight of K2O, in which each percent by weight is based on total weight of the bulk glass composition.
In
As used herein, spatial or directional terms, such as “left”, “right”, “inner”, “outer”, “above”, “below”, and the like, relate to the invention as it is shown in the drawing figures. However, it is to be understood that the invention can assume various alternative orientations and, accordingly, such terms are not to be considered as limiting.
Other than in the operating examples, or where otherwise indicated, all numbers expressing quantities of ingredients, reaction conditions, processing parameters, physical characteristics, dimensions, and the like used in the specification and claims are to be understood as modified in all instances by the term “about.” Accordingly, unless indicated to the contrary, the numerical values set forth in the following specification and claims can vary depending upon the desired properties sought to be obtained by the present invention.
Additionally, at the very least, and not as an attempt to limit the application of the doctrine of equivalents to the scope of the claims, each numerical value should at least be construed in light of the number of reported significant digits and by applying ordinary rounding techniques. Moreover, all ranges disclosed herein are to be understood to encompass the beginning and ending range values and any and all subranges subsumed therein. For example, a stated range of “1 to 10” should be considered to include any and all subranges between (and inclusive of) the minimum value of 1 and the maximum value of 10; that is, all subranges beginning with a minimum value of 1 or more and ending with a maximum value of 10 or less, e.g., 1 to 3.3, 4.7 to 7.5, 5.5 to 10, and the like.
As used herein, the terms “formed over,” “deposited over,” “residing over,” or “provided over” mean formed, deposited, or provided on but not necessarily in direct (or abutting) contact with the surface. For example, a coating layer “formed over” or “residing over” a substrate does not preclude the presence of one or more other coating layers or films of the same or different composition located between the formed (or identified) coating layer and the substrate.
The term “visible region” and related terms, such as “visible light” as used herein means electromagnetic radiation having a wavelength in the range of 380 nm to 780 nm.
The term “infrared region” and related terms, such as “infrared radiation” as used herein mean electromagnetic radiation having a wavelength in the range of greater than 780 nm to 100,000 nm.
The term “ultraviolet region” and related terms, such as “ultraviolet radiation” mean electromagnetic energy having a wavelength in the range of 100 nm to less than 380 nm.
All documents, such as but not limited to issued patents and patent applications, referred to herein are to be considered to be “incorporated by reference” in their entirety.
As used herein, the articles “a,” “an,” and “the” include plural referents unless otherwise expressly and unequivocally limited to one referent.
As used herein, the term “transparent” means having a transmission of greater than 0% up to 100% in a desired wavelength range, such as visible light. As used herein, the term “translucent” means allowing electromagnetic radiation, such as visible light, to be transmitted but diffusing or scattering this electromagnetic radiation. As used herein, the term “opaque” means having a transmission of substantially 0%, such as 0%, in a desired wavelength range, such as visible light.
As used herein, the term “bulk glass composition” means that portion of a glass product that resides within (or between) the surfaces thereof, and does not include the composition of one or more treatments and/or layers that may reside on one or more surfaces of the glass product.
The “bulk glass composition” of a glass product can be determined with some embodiments based on the components of the glass composition from which the glass product is prepared.
The “bulk glass composition” of a glass product can be determined with some further embodiments by analytical methods, such as by art-recognized X-ray fluorescence methods.
As used herein, “strain point” temperature values means the temperature at which the glass product has a viscosity of LOG 14.5 in units of poise, and is determined in accordance with a fiber elongation method based on American Society for Testing and Materials (ASTM) C336-71.
As used herein, “coefficient of thermal expansion” values (or CTE values) are determined using an Orton dilatometer in accordance with ASTM E228-06 over a temperature range of 25° C. to 300° C.
Unless otherwise indicated, percent by weight values of the various components of the glass compositions of the present invention are in each case based on total weight of the glass compositions.
Unless otherwise indicated, percent by weight values of the various components of the bulk glass compositions of the glass articles and products of the present invention are in each case based on total weight of the bulk glass composition.
In accordance with some embodiments, Al2O3 is present in the glass compositions, and bulk glass compositions of the glass products and articles, of the present invention, in an amount of 4 to 10 percent by weight, inclusive of the recited values. The amount of aluminum oxide (Al2O3) is selected, with some embodiments, so as to provide a glass product (or glass article) having a desirable strain point, such as a strain point of at least 590° C.
With some embodiments, Al2O3 is present in the glass compositions, and bulk glass compositions of the glass products and articles, of the present invention, in an amount of 4.5 to 9.5 percent by weight, inclusive of the recited values, and based on total weight of the composition.
With some embodiments, Na2O is present in the glass compositions, and bulk glass compositions of the glass products and articles, of the present invention, in an amount of 7 to 10 percent by weight, inclusive of the recited values, and based on total weight of the composition. The amount of sodium oxide (Na2O) is selected, with some embodiments, so as to provide a glass product (or glass article) having a desirable coefficient of thermal expansion, such as at least 7.4 ppm/° C.
In accordance with some further embodiments, Na2O is present in the glass compositions, and bulk glass compositions of the glass products and articles, of the present invention, in an amount of 7.5 to 9.5 percent by weight, inclusive of the recited values.
With some additional embodiments, CaO is present in the glass compositions, and bulk glass compositions of the glass products and articles, of the present invention, in an amount of 17 to 20 percent by weight, inclusive of the recited values, and based on total weight of the composition. The amount of calcium oxide (CaO) is selected, with some embodiments, so as to aid in dissolution of the silica (SiO2), and, as such, can be described as a flux or flux agent with some embodiments. With some additional embodiments, the amount of CaO is selected so as to provide the glass composition with a reduced melting point, and resulting glass products and articles with an elevated strain point.
Calcium oxide (CaO) is present in the glass compositions, and bulk glass compositions of the glass products and articles, of the present invention, with some embodiments, in an amount of from 17 to 19 percent by weight, inclusive of the recited values, and based on total weight of the composition.
The glass compositions, and bulk glass compositions of the glass products and articles, of the present invention, with some embodiments include: 4 to 10 percent by weight of Al2O3; 7 to 10 percent by weight of Na2O; and 17 to 20 percent by weight of CaO, in each case inclusive of the recited values, and based on total weight of the composition.
In accordance with some additional embodiments, the glass compositions, and bulk glass compositions of the glass products and articles, of the present invention include: 4.5 to 9.5 percent by weight of Al2O3; 7.5 to 9.5 percent by weight of Na2O; and 17 to 19 percent by weight of CaO, in each case inclusive of the recited values, and based on total weight of the composition.
The weight ratio of Al2O3 to Na2O of the glass compositions, and bulk glass compositions of the glass products and articles, of the present invention, can, with some embodiments, range from 0.5 to 1, or from 0.5 to 1.0, or from 0.57 to 1.0, or from 0.6 to 1, or from 0.6 to 1.0, inclusive in each case of the recited values.
The weight ratio of Al2O3 to CaO of the glass compositions, and bulk glass compositions of the glass products and articles, of the present invention, can, with some embodiments, range from 0.2 to 0.5, or from 0.23 to 0.5, or from 0.25 to 0.5, or from 0.26 to 0.5, inclusive in each case of the recited values.
The weight ratio of Na2O to CaO of the glass compositions, and bulk glass compositions of the glass products and articles, of the present invention, can, with some embodiments, range from 0.4 to 0.6, or from 0.4 to 0.5, or from 0.41 to 0.5, or from 0.44 to 0.5, or from 0.45 to 0.5, inclusive in each case of the recited values.
In accordance with some embodiments, the glass compositions, and bulk glass compositions of the glass products and articles, of the present invention, include a combination of weight ratios of various components thereof as follows: a weight ratio of Al2O3 to Na2O of from 0.5 to 1.0; a weight ratio of Al2O3 to CaO of from 0.2 to 0.5; and a weight ratio of Na2O to CaO of from 0.4 to 0.5, in each case inclusive of the recited values.
In accordance with some further embodiments, the glass compositions, and bulk glass compositions of the glass products and articles, of the present invention, include a combination of weight ratios of various components thereof as follows: a weight ratio of Al2O3 to Na2O of from 0.6 to 1.0; a weight ratio of Al2O3 to CaO of from 0.26 to 0.5; and a weight ratio of Na2O to CaO of from 0.44 to 0.5, in each case inclusive of the recited values.
As discussed previously above, the glass compositions, and bulk glass compositions of the glass products and articles, of the present invention, include Li2O in an amount of from 0.01 to 0.1 percent by weight, inclusive of the recited values, and based on total weight of the composition. With some embodiments, Li2O is present in the glass compositions, and bulk glass compositions of the glass products and articles, of the present invention, in an amount of from 0.02 to 0.08 percent by weight, inclusive of the recited values, and based on total weight of the composition. With some embodiments, Li2O is added as a flux or flux agent, for purposes of lowering the melting point of the glass composition.
The glass compositions, and bulk glass compositions of the glass products and articles, of the present invention, as discussed previously above, include less than 0.05 percent by weight of K2O. While the amount of K2O can be 0 percent by weight, with some embodiments, some K2O is typically present, such as at least 0.0005 percent by weight, or at least 0.001 percent by weight. The amount of K2O, with some embodiments, ranges from 0.0005 to less than 0.05 percent by weight, or from 0.001 to less than 0.05 percent by weight, such as from 0.0005 to 0.04 percent by weight, or from 0.001 to 0.04 percent by weight. With some embodiments, K2O is present in the SiO2 component of the glass compositions, and bulk glass compositions of the glass products and articles, of the present invention. In accordance with some further embodiments, if present, the K2O is present in the SiO2 component of the glass compositions, and K2O is not added separately to the glass compositions of the present invention.
With some embodiments, the glass compositions of the present invention include refining agents, such as alkali metal sulfates, such as sodium sulfate. Refining agents if present in the glass composition, are not present in the resulting glass products or articles, with some embodiments, because they often form gases, such as SO3, which migrate out of the glass melt. With some embodiments, the glass compositions of the present invention include sodium sulfate in an amount of from 0.2 to 0.4 percent by weight, inclusive of the recited values, and based on total weight of the glass composition. The glass compositions, and bulk glass compositions of the glass products and articles, of the present invention include, with some embodiments, residual refining agents in amounts that do not affect, alter, or otherwise contribute to the physical properties of the glass compositions, and bulk glass compositions of the glass products or articles, such as in amounts of less than or equal to 0.02 percent by weight, or less than or equal to 0.01 percent by weight, or less than or equal to 0.005 percent by weight, based on total weight of the composition.
In accordance with some embodiments, the glass compositions, and bulk glass compositions of the glass products and articles, of the present invention, include impurities (sometimes referred to as tramp materials) in amounts of less than or equal to 0.02 percent by weight, or less than or equal to 0.01 percent by weight, or less than or equal to 0.005 percent by weight, based on total weight of the composition. If present, the impurities do not affect, alter, or otherwise contribute to the physical properties of the glass compositions, and bulk glass compositions of the glass products or articles of the present invention. Examples of impurities that can be present in the glass compositions, and bulk glass compositions of the glass products and articles, of the present invention, include, but are not limited to MgO, and iron oxide (such as FeO), in impurity amounts of less than or equal to 0.02 percent by weight, or less than or equal to 0.01 percent by weight, or less than or equal to 0.005 percent by weight, based on total weight of the composition.
The glass compositions, and bulk glass compositions of the glass products and articles, of the present invention, with some embodiments, are free of certain materials. With some embodiments, the term “free of” means less than 0.02 percent by weight, or less than 0.01 percent by weight, or less than 0.005 percent by weight. With some additional embodiments, the term “free of” means 0 percent by weight, or not present in any measurable amount. The glass compositions, and bulk glass compositions of the glass products and articles, of the present invention, with some embodiments, are free of materials, such as, but not limited to, tin oxide, barium oxide, zirconium oxide, strontium oxide, magnesium oxide, iron oxide, and rare earth oxides (also referred to as rare earth metal oxides). Rare earth oxides, that the glass compositions, and bulk glass compositions of the glass products and articles, of the present invention, are free of, can be represented by the formula RE2O3, in which RE means rare earth (or rare earth metal), such as Sc, Y, La, Ce, Pr, Nd, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Yb, Ln, and combinations thereof.
Glass products and articles, such as, but not limited to, flat glass products and glass substrates, in accordance with some embodiments of the present invention, have a strain point of at least 590° C., or at least 600° C., or at least 625° C., or at least 650° C. With some embodiments, glass products and articles of the present invention, such as, but not limited to, flat glass products and glass substrates, have a strain point of less than or equal to 800° C., or less than or equal to 750° C., or less than or equal to 725° C., or less than or equal to 700° C. The strain point of the glass products and articles of the present invention can, with some embodiments, range between any combination of these lower and upper values, such as from 590° C. to 800° C., or from 590° C. to 750° C., or from 600° C. to 725° C., or from 625° C. to 700° C., or from 650° C. to 680° C., in each case inclusive of the recited values.
Glass products and articles, such as, but not limited to, flat glass products and glass substrates, in accordance with some embodiments of the present invention, have a coefficient of thermal expansion of at least 7.4 ppm/° C., or at least 7.5 ppm/° C., or at least 7.8 ppm/° C., or at least 8.0 ppm/° C., or at least 8.25 ppm/° C. With some embodiments, glass products and articles of the present invention, such as, but not limited to, flat glass products and glass substrates, have a coefficient of thermal expansion of less than or equal to 9.0 ppm/° C., or less than or equal to 8.8 ppm/° C., or less than or equal to 8.6 ppm/° C., or less than or equal to 8.5 ppm/° C. The coefficient of thermal expansion of the glass products and articles of the present invention can, with some embodiments, range between any combination of these lower and upper values, such as from 7.4 to 9.0 ppm/° C., or from 7.5 to 8.8 ppm/° C., or from 7.8 to 8.6 ppm/° C., or from 8.25 to 8.5 ppm/° C., in each case inclusive of the recited values.
The glass products formed from the glass compositions of the present invention are, with some embodiments, in the form of a flat glass product.
In accordance with some embodiments, glass products formed from the glass compositions of the present invention are in the form of a substrate (or glass substrate). Glass substrates, with some embodiments of the present invention, can have any suitable thickness, such as up to 24 mm, or from 2 mm to 24 mm, or from 4 mm to 24 mm, or from 5 mm to 24 mm.
The glass products or articles, such as glass substrates and flat glass products, of the present invention, with some embodiments are transparent, translucent, or opaque. With some embodiments, the glass products or articles, such as glass substrates and flat glass products, of the present invention, are transparent and have a visible right transmittance (Lta) of equal or greater than 70 percent, such as equal to or great than 75 percent, or equal to or greater than 80 percent, in each case the Lta values being determined using a glass sample having a thickness of 5.664 mm (0.223 inches).
The glass compositions of the present invention can be processed in accordance with art-recognized methods, so as to form the glass products and articles of the present invention. For purposes of non-limiting illustration, the glass compositions of the present invention can be subjected to art-recognized processes, such as, but not limited to, crucible melt processes, sheet drawing processes, and float glass processes.
As discussed previously herein, the present invention provides a photovoltaic cell that includes a glass substrate and at least one semiconductor layer over the glass substrate. With some embodiments of the present invention, the at least one semiconductor layer of the photovoltaic cell comprises at least one of cadmium and telluride, such as cadmium-telluride (CdTe).
Photovoltaic cells typically include a glass substrate, and a plurality of layers formed over at least one side of the glass substrate. The layers typically include one or more transparent conductive oxide layers, one or more semiconductor layers (such as a p-type layer, which each absorb and convert actinic radiation, such as sunlight, into electricity), a window layer (such as an n-type layer), and a metallic electrical contact layer. With some embodiments, the photovoltaic cell further includes a backing layer or plate, such as a glass backing plate.
For purposes of non-limiting illustration and with reference to
Photovoltaic cell 1 further includes, with some embodiments, a backing layer or plate 41. Backing plate 41 is formed over metal contact layer 38, with some embodiments. With some further embodiments, backing plate 41 is a glass backing plate 41, which can be a soda-lime glass backing plate 41.
With further reference to photovoltaic cell 1 of
With some embodiments, the absolute value of the difference between the coefficient of thermal expansion values of the glass substrate and glass backing plate of a photovoltaic cell according to the present invention, is less than or equal to 10 ppm/° C., or less than or equal to 5 ppm/° C., or less than or equal to 1 ppm/° C., or less than or equal to 0.5 ppm/° C.
The present invention also provides a magnetic recording article that includes a glass substrate according to the present invention. The magnetic recording article further includes one or more magnetic material layers formed over at least one surface of the glass substrate. With some embodiments, the magnetic recording article is a hard disc drive, such as used in conjunction with a computer. For purposes of non-limiting illustration, and with reference to
Coating stack 59 of magnetic recording medium 3 includes, with some further embodiments, at least one further layer 65 that is formed over magnetic material layer 62. Further layer 65 can have a single or multiple layer structure composed of one or more inorganic layers and/or one or more organic polymer layers. With some embodiments further layer 65 is a protective layer.
The present invention is more particularly described in the following examples, which are intended to be illustrative only, since numerous modifications and variations therein will be apparent to those skilled in the art. It is to be understood, however, that the invention is not limited to the following examples. Unless otherwise specified, all pads and all percentages are by weight.
Examples A and B provided in the following Table 1 are bulk glass compositions according to the present invention that were determined from computer models. The strain point and coefficient of thermal expansion (CTE) values recited in Table 1 were also determined from computer models. Examples A and B were not prepared from glass melts.
Example 1 as provided in the following Table 2 is a bulk glass composition according to the present invention that was prepared from a glass melt that was prepared from the glass composition of Table 3. The strain point and CTE values recited in Table 2 were obtained by measurements that were performed on glass test samples obtained from the glass melt of the glass composition of Table 3, as described further herein.
1The sand was obtained commercially from U.S. Silica Co., which was described as low iron sand, having SiO2 as a major component.
2The soda ash was obtained commercially from FMC Corp., under the designation of Dense Grade 260, having Na2CO3 as a major component.
3The limestone was obtained commercially from Carmeuse Group under the designation MS 0-2, having CaCO3 as a major component.
4The salt cake was obtained commercially from Saltex LLC, which was described as anhydrous glass grade, having Na2SO4 as a major component.
5The alumina hydrate was obtained commercially from Alcoa under the designation C-30, having Al(OH)3 as a major component.
6The Li2CO3 was obtained commercially from Chemetall Foote Corp., which was described as technical grade.
The glass composition of Table 3 was processed in accordance with the following description.
Approximately 50% by weight of the materials of Table 3 were placed in a 4 inch platinum crucible and heated to 2500° F. (1371° C.). The temperature of the crucible was then held at 2500° F. (1371° C.) for 30 minutes. This initial molten material was then heated to a temperature of 2550° F. (1399° C.) and held at that temperature for 30 minutes. The initial molten material was then heated to a temperature of 2650° F. (1454° C.), after which the remaining 50% by weight of the materials of Table 3 were added to the crucible. The combined contents of the crucible were held at a temperature of 2650° F. (1454° C.) for 30 minutes. This combined molten material was then heated to a temperature of 2700° F. (1482° C.) and held at that temperature for one hour. Next, the combined molten material was fritted in water. The fritted glass was separated from the water, dried, and reheated to 2750° F. (1510° C.) in a platinum crucible for two hours, which resulted in the formation of a second molten material. The second molten material was then poured out of the crucible to form a slab and annealed. Glass test samples were cut from the annealed slab. The glass test samples were ground and polished for chemical analysis. The bulk glass composition of Example 3, recited in Table 2 above, was determined by x-ray fluorescence spectrophotometric analysis of a ground and polished glass test sample. Other glass test samples were cut from the annealed slab and used to measure the strain point and thermal expansion coefficient values, which are recited in Table 2.
It will be readily appreciated by those skilled in the art that modifications can be made to the invention without departing from the concepts disclosed in the foregoing description. Accordingly, the particular embodiments described in detail herein are illustrative only and are not limiting to the scope of the invention, which is to be given the full breadth of the appended claims and any and all equivalents thereof.
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