Battery

A battery comprising:

• a positive electrode containing a positive electrode active material;
• a negative electrode;
• and
• an electrolyte solution containing a nonaqueous solvent,
• wherein the positive electrode active material contains a compound represented by composition formula (1) below and having a crystal structure belonging to space group FM-3M:
• LixMeyOαFβ (1)
• wherein Me is one or two or more elements selected from the group consisting of Mn, Co, Ni, Fe, Al, B, Ce, Si, Zr, Nb, Pr, Ti, W, Ge, Mo, Sn, Bi, Cu, Mg, Ca, Ba, Sr, Y, Zn, Ga, Er, La, Sm, Yb, V, and Cr,
• wherein x, y, α, and β satisfy the following conditions:
• 1.7≤x≤2.2,
• 0.8≤y≤1.3,
• 1≤α≤2.5, and
• 0.5≤β≤2,respectively,
• wherein the positive electrode active material satisfies x+y=α+β=3, and
• wherein the nonaqueous solvent comprises at least one solvent selected from the group consisting of hydrofluoroethers, phosphazenes, phosphates, and perfluoropolyethers.