A cutting element comprises a supporting substrate, and a cutting table attached to an end of the supporting substrate. The cutting table comprises inter-bonded diamond particles, and a thermally stable material within interstitial spaces between the inter-bonded diamond particles. The thermally stable material comprises a carbide precipitate having the general chemical formula, A.sub.3XZ.sub.n-1, where A comprises one or more of Sc, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn, Y, Zr, Nb, Mo, Tc, Ru, Rh, Pd, Ag, Cd, Hf, Ta, W, Re, Os, Ir, Pt, Au, Hg, La, Ce, Pr, Nd, Pm, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Yb, Lu, Ac, Th, Pa, and U; X comprises one or more of Al, Ga, Sn, Be, Bi, Te, Sb, Se, As, Ge, Si, B, and P; Z comprises C; and n is greater than or equal to 0 and less than or equal to 0.75. A method of forming a cutting element, an earth-boring tool, a supporting substrate, and a method of forming a supporting substrate are also described.

A cutting element comprises a supporting substrate, and a cutting table attached to an end of the supporting substrate. The cutting table comprises inter-bonded diamond particles, and a thermally stable material within interstitial spaces between the inter-bonded diamond particles. The thermally stable material comprises a carbide precipitate having the general chemical formula, A.sub.3XZ.sub.n-1, where A comprises one or more of Sc, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn, Y, Zr, Nb, Mo, Tc, Ru, Rh, Pd, Ag, Cd, Hf, Ta, W, Re, Os, Ir, Pt, Au, Hg, La, Ce, Pr, Nd, Pm, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Yb, Lu, Ac, Th, Pa, and U; X comprises one or more of Al, Ga, Sn, Be, Bi, Te, Sb, Se, As, Ge, Si, B, and P; Z comprises C; and n is greater than or equal to 0 and less than or equal to 0.75. A method of forming a cutting element, an earth-boring tool, a supporting substrate, and a method of forming a supporting substrate are also described.

Polycrystalline compacts include a polycrystalline superabrasive material comprising a first plurality of grains of superabrasive material having a first average grain size and a second plurality of grains of superabrasive material having a second average grain size smaller than the first average grain size. The first plurality of grains is dispersed within a substantially continuous matrix of the second plurality of grains. Earth-boring tools may include a body and at least one polycrystalline compact attached thereto. Methods of forming polycrystalline compacts may include coating relatively larger grains of superabrasive material with relatively smaller grains of superabrasive material, forming a green structure comprising the coated grains, and sintering the green structure. Other methods include mixing diamond grains with a catalyst and subjecting the mixture to a pressure greater than about five gigapascals (5.0 GPa) and a temperature greater than about 1,300° C. to form a polycrystalline diamond compact.

An embodiment relates to a material comprising a ceramic formed from an amorphous metal alloy (amorphous metal ceramic composite), wherein the composite exhibits a higher corrosion resistance than that of Haynes 230 when exposed to molten chlorides such as KCl or MgCl.sub.2 or combinations thereof at temperatures up to 750° C. Yet, another embodiment relates to a method comprising obtaining a substrate, forming a coating of an amorphous metal alloy, heating the coating, and transforming at least a portion the amorphous metal alloy into an amorphous metalceramic composite.

An embodiment relates to a material comprising a ceramic formed from an amorphous metal alloy (amorphous metal ceramic composite), wherein the composite exhibits a higher corrosion resistance than that of Haynes 230 when exposed to molten chlorides such as KCl or MgCl.sub.2 or combinations thereof at temperatures up to 750° C. Yet, another embodiment relates to a method comprising obtaining a substrate, forming a coating of an amorphous metal alloy, heating the coating, and transforming at least a portion the amorphous metal alloy into an amorphous metalceramic composite.

Ultra-high temperature carbide (UHTC) foams and methods of fabricating and using the same are provided. The UHTC foams are produced in a three-step process, including UHTC slurry preparation, freeze-drying, and spark plasma sintering (SPS). The fabrication methods allow for the production of any kind of single- or multi-component UHTC foam, while also providing flexibility in the shape and size of the UHTC foams to produce near-net-shape components.

A cemented tungsten carbide body is formed by mixing a tungsten carbide powder and a cobalt powder together to form a powder mixture. The tungsten carbide powder makes up greater than or equal to 80 weight percent of the powder mixture, while the cobalt binder powder makes up about 1.5 weight percent to about 20 weight percent of the powder mixture. Next, the powder mixture is compacted to form a green compact, and a boron nitride coating is applied to a surface of the green compact to form a coated compact. The coated compact is sintered at a temperature sufficient to melt the cobalt powder, such that boron from the boron nitride coating diffuses into the compact and creates a gradient of metallic cobalt and boron extending inward from the surface. The metallic cobalt content increases from the surface inward, while the boron content decreases from the surface inward.

High-entropy ultra-high temperature ceramics (HE-UHTC) coatings deposited on substrates, as well methods for depositing the HE-UHTC coatings on the substrates, are provided. An HE-UHTC electrode can be fabricated via spark plasma sintering (SPS) and then a thin coating of the HE-UHTC can be deposited in a precision-controlled manner on a substrate via an electro-spark deposition process.

A single phase, organic-inorganic sol-gel with controlled rheology that can be solidified readily and converted into a ceramic material is provided. The organic-inorganic sol-gel may be uranium-based or cerium-based. Highly spherical ceramic microspheres such as uranium or cerium gel microspheres are fabricated and are able to be converted to homogeneous ceramics after thermal decomposition at high temperatures. Pure phase UC.sub.2 can be obtained upon carbothermal reaction. Pure phase U.sub.2N.sub.3 can also be obtained after converting UC.sub.2 to U.sub.2N.sub.3.

A single phase, organic-inorganic sol-gel with controlled rheology that can be solidified readily and converted into a ceramic material is provided. The organic-inorganic sol-gel may be uranium-based or cerium-based. Highly spherical ceramic microspheres such as uranium or cerium gel microspheres are fabricated and are able to be converted to homogeneous ceramics after thermal decomposition at high temperatures. Pure phase UC.sub.2 can be obtained upon carbothermal reaction. Pure phase U.sub.2N.sub.3 can also be obtained after converting UC.sub.2 to U.sub.2N.sub.3.