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In one embodiment, an active cathode material comprises a mixture that includes: at least one of a lithium cobaltate and a lithium nickelate; and at least one of a manganate spinel represented by an empirical formula of Li(1+x1)(Mn1−y1A′y1)2−x1Oz1 and an olivine compound represented by an empirical

In one embodiment, an active cathode material comprises a mixture that includes: at least one of a lithium cobaltate and a lithium nickelate; and at least one of a manganate spinel represented by an empirical formula of Li(1+x1)(Mn1−y1A′y1)2−x1Oz1 and an olivine compound represented by an empirical formula of Li(1−x2)A″x2MPO4. In another embodiment, an active cathode material comprises a mixture that includes: a lithium nickelate selected from the group consisting of LiCoO2-coated LiNi0.8Co0.15Al0.05O2, and Li(Ni1/3Co1/3Mn1/3)O2; and a manganate spinel represented by an empirical formula of Li(1+x7)Mn2−y7Oz7. A lithium-ion battery and a battery pack each independently employ a cathode that includes an active cathode material as described above. A method of forming a lithium-ion battery includes the steps of forming an active cathode material as described above; forming a cathode electrode with the active cathode material; and forming an anode electrode in electrical contact with the cathode via an electrolyte. A system comprises a portable electronic device and a battery pack or lithium-ion battery as described above.

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1. A lithium-ion battery having a cathode that includes an active cathode material, the active cathode material comprising: a) a mixture that includes i) at least one of a lithium cobaltate and a lithium nickelate, wherein the lithium cobaltate is a modified lithium cobaltate, having a lithium modif

1. A lithium-ion battery having a cathode that includes an active cathode material, the active cathode material comprising: a) a mixture that includes i) at least one of a lithium cobaltate and a lithium nickelate, wherein the lithium cobaltate is a modified lithium cobaltate, having a lithium modifier and, optionally, a cobalt modifier of the lithium cobaltate, and wherein the lithium modifier is magnesium (Mg), and wherein the cobalt modifier is at least one member of the group consisting of manganese (Mn), aluminum (Al), boron (B), titanium (Ti), magnesium (Mg), calcium (Ca) and strontium (Sr), and wherein the lithium nickelate is selected from the group consisting of Li(Ni1/3Co1/3Mn1/3)O2; a lithium nickelate that includes at least one Li atom modifier selected from the group consisting of barium, magnesium, calcium and strontium; and a lithium nickelate represented by an empirical formula of Lix3Ni(1−z3)M′z3O2 coated with LiCoO2 as a gradient coating or a spot-wise coating where: x3 is greater than 0.05 and less than 1.2,z3 is greater than 0 and less than 0.5, andM′ is at least one member of the group consisting of cobalt, manganese, aluminum, boron, titanium, magnesium, calcium and strontium; andii) at least one of a manganate spinel and an olivine compound, wherein the manganate spinel is represented by an empirical formula of Li(1+x1)(Mn1−y1A′y1)2−x1Oz1 where:x1 is equal to or greater than 0.01 and equal to or less than 0.3,y1 is greater than 0.0 and equal to or less than 0.3,z1 is equal to or greater than 3.9 and equal to or less than 4.1, andA′ is at least one member of the group consisting of magnesium, aluminum, cobalt, nickel and chromium,and wherein the olivine compound is represented by an empirical formula of Li(1−x2)A″x2MPO4 where:x2 is equal to or greater than 0.05 and equal to or less than 0.2, or x2 is equal to or greater than 0.0 and equal to or less than 0.1M is at least one member of the group consisting of iron, manganese, cobalt and magnesium, andA″ is at least one member of the group consisting of sodium, magnesium, calcium, potassium, nickel and niobium; orb) a mixture that includes i) a lithium nickelate selected from the group consisting of Li(Ni1/3Co1/3Mn1/3)O2; a lithium nickelate that includes at least one Li atom modifier selected from the group consisting of barium, magnesium, calcium and strontium, and a lithium nickelate represented by an empirical formula of Lix3Ni(1−z3)M′z3O2 coated with LiCoO2 as a gradient coating or a spot-wise coating where: x3 is greater than 0.05 and less than 1.2,z3 is greater than 0 and less than 0.5, andM′ is at least one member of the group consisting of cobalt, manganese, aluminum, boron, titanium, magnesium, calcium and strontium; andii) a manganate spinel represented by an empirical formula of Li(1+x7)Mn2−y7Oz7 where x7 and y7 are each independently equal to or greater than 0.0 and equal to or less than 1.0; and z7 is equal to or greater than 3.9 and equal to or less than 4.2. 2. The lithium-ion battery of claim 1, wherein the active cathode material includes a mixture that includes: i) at least one of the modified lithium cobaltate, and the lithium nickelate selected from the group consisting of Li(Ni1/3Co1/3Mn1/3)O2, the Li-modifier-containing lithium nickelate, and the LiCoO2-coated lithium nickelate; andii) at least one of the manganate spinel represented by an empirical formula of Li(1+x1)(Mn1−y1A′y1)2−x1Oz1 and the olivine compound represented by an empirical formula of Li(1−x2)A″x2MPO4. 3. The lithium-ion battery of claim 2, wherein the cathode material includes the Li-modifier-containing lithium nickelate. 4. The lithium-ion battery of claim 3, wherein the Li-modifier-containing lithium nickelate further includes at least one Ni atom modifier selected from the group consisting of barium, magnesium, calcium, strontium, aluminum, manganese and boron. 5. The lithium-ion battery of claim 2, wherein the cathode material includes the LiCoO2-coated lithium nickelate. 6. The lithium-ion battery of claim 5, wherein the LiCoO2-coated lithium nickelate is LiNi0.8Co0.15Al0.05O2 coated with LiCoO2 as a gradient coating or a spot-wise coating. 7. The lithium-ion battery of claim 2, wherein the cathode material includes the olivine compound of Li(1−x2)A″x2MPO4 where M is iron or manganese. 8. The lithium-ion battery of claim 7, wherein the olivine compound is LiFePO4 or LiMnPO4. 9. The lithium-ion battery of claim 2, wherein the cathode material includes one of the lithium nickelate selected from the group consisting of Li(Ni1/3Co1/3Mn1/3)O2, the Li-modifier-containing lithium nickelate, and the LiCoO2-coated lithium nickelate; and further includes the manganate spinel of Li(1+x1)(Mn1−y1A′y1)2−x1Oz1. 10. The lithium-ion battery of claim 2, wherein the cathode material includes one of the lithium nickelate selected from the group consisting of Li(Ni1/3Co1/3Mn1/3)O2, the Li-modifier-containing lithium nickelate, and the LiCoO2-coated lithium nickelate; and further includes the manganate spinel of Li(1+x1)(Mn1−y1A′y1)2−x1Oz1 and the modified lithium cobaltate. 11. The lithium-ion battery of claim 2, wherein the cathode material includes the modified lithium cobaltate, and the manganate spinel of Li(1+x1)(Mn1−y1A′y1)2−x1Oz1. 12. The lithium-ion battery of claim 2, wherein the cathode material includes the modified lithium cobaltate and/or one of the lithium nickelate selected from the group consisting of Li(Ni1/3Co1/3Mn1/3)O2, —the Li-modifier-containing lithium nickelate, and the LiCoO2-coated lithium nickelate; and further includes the olivine compound of Li(1−x2)A″x2MPO4. 13. The lithium-ion battery of claim 2, wherein the cathode material includes one of the lithium nickelate selected from the group consisting of Li(Ni1/3Co1/3Mn1/3)O2, the Li-modifier-containing lithium nickelate, and the LiCoO2-coated lithium nickelate; and further includes the olivine compound of Li(1−x2)A″x2MPO4. 14. The lithium-ion battery of claim 1, wherein the active cathode material includes a mixture that includes i) the lithium nickelate selected from the group consisting of Li(Ni1/3Co1/3Mn1/3)O2, —the Li-modifier-containing lithium nickelate, and the LiCoO2-coated lithium nickelate; andii) the manganate spinel represented by an empirical formula of Li(1+x7)Mn2−y7Oz7. 15. The lithium-ion battery of claim 14, wherein the cathode material includes the Li-modifier-containing lithium nickelate. 16. The lithium-ion battery of claim 15, wherein the Li-modifier-containing lithium nickelate further includes at least one Ni atom modifier selected from the group consisting of barium, magnesium, calcium, strontium, aluminum, manganese and boron. 17. The lithium-ion battery of claim 15, wherein the manganate spinel is LiMn2O4. 18. The lithium-ion battery of claim 15, further comprising a lithium cobaltate. 19. The lithium-ion battery of claim 18, wherein the lithium cobaltate is LiCoO2. 20. The lithium-ion battery of claim 14, wherein the mixture further includes an olivine compound represented by an empirical formula of Li(1−x2)A″x2MPO4 where:x2 is equal to or greater than 0.05 and equal to or less than 0.2, orx2 is equal to or greater than 0.0 and equal to or less than 0.1; andM is at least one member of the group consisting of iron, manganese, cobalt and magnesium; andA″ is at least one member of the group consisting of sodium, magnesium, calcium, potassium, nickel and niobium. 21. An active cathode material comprising: a) a mixture that includes i) at least one of a lithium cobaltate and a lithium nickelate, wherein the lithium is a modified lithium cobaltate, having a lithium modifier and, optionally, a cobalt modifier of the lithium cobaltate, and wherein the lithium modifier is magnesium (Mg), and wherein the cobalt modifier is at least one member of the group consisting of manganese (Mn), aluminum (Al), boron (B), titanium (Ti), magnesium (Mg), calcium (Ca) and strontium (Sr), and wherein the lithium nickelate is selected from the group consisting of Li(Ni1/3Co1/3Mn1/3)O2; a lithium nickelate that includes at least one Li atom modifier selected from the group consisting of barium, magnesium, calcium and strontium; and a lithium nickelate represented by an empirical formula of Lix3Ni(1−z3)M′z3O2 coated with LiCoO2 as a gradient coating or a spot-wise coating where: x3 is greater than 0.05 and less than 1.2,z3 is greater than 0 and less than 0.5, andM′ is at least one member of the group consisting of cobalt, manganese, aluminum, boron, titanium, magnesium, calcium and strontium; andii) at least one of a manganate spinel and an olivine compound, wherein the manganate spinel is represented by an empirical formula of Li(1+x1)(Mn1−y1A′y1)2−x1Oz1 where: x1 is equal to or greater than 0.01 and equal to or less than 0.3,y1 is greater than 0.0 and equal to or less than 0.3,z1 is equal to or greater than 3.9 and equal to or less than 4.1, andA′ is at least one member of the group consisting of magnesium, aluminum, cobalt, nickel and chromium,and wherein the olivine compound is represented by an empirical formula of Li(1−x2)A″x2MPO4 where: x2 is equal to or greater than 0.05 and equal to or less than 0.2, or x2 is equal to or greater than 0.0 and equal to or less than 0.1,M is at least one member of the group consisting of iron, manganese, cobalt and magnesium, andA″ is at least one member of the group consisting of sodium, magnesium, calcium, potassium, nickel and niobium; orb) a mixture that includes i) a lithium nickelate selected from the group consisting of Li(Ni1/3Co1/3Mn1/3)O2; a lithium nickelate that includes at least one Li atom modifier selected from the group consisting of barium, magnesium, calcium and strontium; and a lithium nickelate represented by an empirical formula of Lix3Ni(1−z3)M′z3O2 coated with LiCoO2 as a gradient coating or a spot-wise coating where: x3 is greater than 0.05 and less than 1.2,z3 is greater than 0 and less than 0.5, andM′ is at least one member of the group consisting of cobalt, manganese, aluminum, boron, titanium, magnesium, calcium and strontium; andii) a manganate spinel represented by an empirical formula of Li(1+x7)Mn2−y7Oz7 where x7 and y7 are each independently equal to or greater than 0.0 and equal to or less than 1.0; and z7 is equal to or greater than 3.9 and equal to or less than 4.2. 22. A battery pack comprising a plurality of cells, wherein each of the cells includes an active cathode material that includes: a) a mixture that includes i) at least one of a lithium cobaltate and a lithium nickelate, wherein the lithium cobaltate is a modified lithium cobaltate, a lithium modifier and, optionally, a cobalt modifier of the lithium cobaltate, and wherein the lithium modifier is magnesium (Mg), and wherein the cobalt modifier is at least one member of the group consisting of manganese (Mn), aluminum (Al), boron (B), titanium (Ti), magnesium (Mg), calcium (Ca) and strontium (Sr), and wherein the lithium nickelate is selected from the group consisting of Li(Ni1/3Co1/3Mn1/3)O2; a lithium nickelate that includes at least one Li atom modifier selected from the group consisting of barium, magnesium, calcium and strontium; and a lithium nickelate represented by an empirical formula of Lix3Ni(1−z3)M′z3O2 coated with LiCoO2 as a gradient coating or a spot-wise coating where: x3 is greater than 0.05 and less than 1.2,z3 is greater than 0 and less than 0.5, andM′ is at least one member of the group consisting of cobalt, manganese, aluminum, boron, titanium, magnesium, calcium and strontium; andii) at least one of a manganate spinel and an olivine compound, wherein the manganate spinel is represented by an empirical formula of Li(1+x1)(Mn1−y1A′y1)2−x1Oz1 where: x1 is equal to or greater than 0.01 and equal to or less than 0.3,y1 is greater than 0.0 and equal to or less than 0.3,z1 is equal to or greater than 3.9 and equal to or less than 4.1, andA′ is at least one member of the group consisting of magnesium, aluminum, cobalt, nickel and chromium,and wherein the olivine compound is represented by an empirical formula of Li(1−x2)A″x2MPO4 where: x2 is equal to or greater than 0.05 and equal to or less than 0.2, or x2 is equal to or greater than 0.0 and equal to or less than 0.1,M is at least one member of the group consisting of iron, manganese, cobalt and magnesium, andA″ is at least one member of the group consisting of sodium, magnesium, calcium, potassium, nickel and niobium; orb) a mixture that includes i) a lithium nickelate selected from the group consisting of Li(Ni1/3Co1/3Mn1/3)O2; a lithium nickelate that includes at least one Li atom modifier selected from the group consisting of barium, magnesium, calcium and strontium; and a lithium nickelate represented by an empirical formula of Lix3Ni(1−z3)M′z3O2 coated with LiCoO2 as a gradient coating or a spot-wise coating where: x3 is greater than 0.05 and less than 1.2,z3 is greater than 0 and less than 0.5, andM′ is at least one member of the group consisting of cobalt, manganese, aluminum, boron, titanium, magnesium, calcium and strontium; andii) a manganate spinel represented by an empirical formula of Li(1+x7)Mn2−y7Oz7 where x7 and y7 are each independently equal to or greater than 0.0 and equal to or less than 1.0; and z7 is equal to or greater than 3.9 and equal to or less than 4.2. 23. A system comprising a portable electronic device and a battery pack that includes a plurality of cells, wherein each of the cells includes an active cathode material that includes: a) a mixture that includes i) at least one of a lithium cobaltate and a lithium nickelate, wherein the lithium cobaltate is a modified lithium cobaltate, a lithium modifier and, optionally, a cobalt modifier of the lithium cobaltate, and wherein the lithium modifier is magnesium (Mg) and wherein the cobalt modifier is at least one member of the group consisting of manganese (Mn), aluminum (Al), boron (B), titanium (Ti), magnesium (Mg), calcium (Ca) and strontium (Sr), and wherein the lithium nickelate is selected from the group consisting of Li(Ni1/3Co1/3Mn1/3)O2; —a lithium nickelate that includes at least one Li atom modifier selected from the group consisting of barium, magnesium, calcium and strontium; and a lithium nickelate represented by an empirical formula of Lix3Ni(1−z3)M′z3O2 coated with LiCoO2 as a gradient coating or a spot-wise coating where: x3 is greater than 0.05 and less than 1.2,z3 is greater than 0 and less than 0.5, andM′ is at least one member of the group consisting of cobalt, manganese, aluminum, boron, titanium, magnesium, calcium and strontium; andii) at least one of a manganate spinel and an olivine compound, wherein the manganate spinel is represented by an empirical formula of Li(1+x1)(Mn1−y1A′y1)2−x1Oz1 where: x1 is equal to or greater than 0.01 and equal to or less than 0.3,y1 is greater than 0.0 and equal to or less than 0.3,z1 is equal to or greater than 3.9 and equal to or less than 4.1, andA′ is at least one member of the group consisting of magnesium, aluminum, cobalt, nickel and chromium,and wherein the olivine compound is represented by an empirical formula of Li(1−x2)A″x2MPO4 where: x2 is equal to or greater than 0.05 and equal to or less than 0.2, or x2 is equal to or greater than 0.0 and equal to or less than 0.1,M is at least one member of the group consisting of iron, manganese, cobalt and magnesium, andA″ is at least one member of the group consisting of sodium, magnesium, calcium, potassium, nickel and niobium; orb) a mixture that includes i) a lithium nickelate selected from the group consisting of Li(Ni1/3Co1/3Mn1/3)O2; a lithium nickelate that includes at least one Li atom modifier selected from the group consisting of barium, magnesium, calcium and strontium; and a lithium nickelate represented by an empirical formula of Lix3Ni(1−z3)M′z3O2 coated with LiCoO2 as a gradient coating or a spot-wise coating where: x3 is greater than 0.05 and less than 1.2,z3 is greater than 0 and less than 0.5, andM′ is at least one member of the group consisting of cobalt, manganese, aluminum, boron, titanium, magnesium, calcium and strontium; andii) a manganate spinel represented by an empirical formula of Li(1+x7)Mn2−y7Oz7 where x7 and y7 are each independently equal to or greater than 0.0 and equal to or less than 1.0; and z7 is equal to or greater than 3.9 and equal to or less than 4.2.