NOVELTY - A lithium composite metal oxide comprises manganese, nickel, lithium and cobalt. The radial distribution function obtained by Fourier-transforming extended X-ray absorption fine structure (EXAFS) spectrum of K absorption edge of manganese in the lithium composite metal oxide, shows that the ratio of intensity of proximity peak (II) of 2.5 Angstrom vicinity by metal atom near manganese atom next to oxygen atom coupled with manganese atom and intensity of proximity peak (I) of 1.5 Angstrom vicinity by oxygen atom coupled with manganese atom is 0.5-1.2.    USE - Lithium composite metal oxide is used for active materials of positive electrodes used in nonaqueous electrolyte secondary batteries (all claimed) e.g. lithium secondary batteries. Uses include but are not limited to mobile telephones, notebook personal computers, automotive applications, electric-power storage applications, and large-sized power supplies.    ADVANTAGE - The lithium composite metal oxide provides nonaqueous electrolyte secondary batteries with high capacity.    DETAILED DESCRIPTION - A lithium composite metal oxide comprises manganese, nickel, lithium and cobalt. The radial distribution function obtained by Fourier-transforming extended X-ray absorption fine structure (EXAFS) spectrum of K absorption edge of manganese in the lithium composite metal oxide, shows that the ratio of intensity of proximity peak (II) of 2.5 Angstrom vicinity by metal atom near manganese atom next to oxygen atom coupled with manganese atom and intensity of proximity peak (I) of 1.5 Angstrom vicinity by oxygen atom coupled with manganese atom is 0.5-1.2. The radial distribution function obtained by Fourier-transforming EXAFS spectrum of K absorption edge of nickel shows that the ratio of intensity of proximity peak of 2.5 Angstrom vicinity by the metal atom near nickel atom next to oxygen atom coupled with nickel atom and intensity of proximity peak (I) of 1.5 Angstrom vicinity by oxygen atom coupled with nickel atom is 1-1.7. An INDEPENDENT CLAIM is included for nonaqueous electrolyte secondary battery (10) consisting of a negative electrode (3) and a positive electrode (2).    DESCRIPTION OF DRAWING(S) - The drawing shows a schematic view of the nonaqueous electrolyte secondary battery.    Separator (1)    Positive electrode (2)    Negative electrode (3)    Electrode group (4)    Nonaqueous electrolyte secondary battery (10)