NOVELTY - Positive electrode comprising lithium alkali transition metal composite oxide compound (I), is claimed.    USE - (I) is useful as a positive electrode material for lithium secondary batteries. (I) is useful for manufacturing lithium secondary batteries for portable electronic devices, which is mobile communication equipment, digital cameras, digital camcorders, and for large scale batteries, such as hybrid electric vehicles, electric vehicles and load leveling systems.    ADVANTAGE - (I) provides lithium secondary batteries having a cathode with high rate capability, and excellent cycle performance. (I) has an average particle size of approximately 10 mu m, and a secondary spherical morphology has nano-sized primary particles.    DETAILED DESCRIPTION - Positive electrode comprising lithium alkali transition metal composite oxide compound of formula (xLiAaNibCocMndMoeMyO2.(1-x)Li2MndM1fO3) (I), is claimed, where the lithium nickel composite oxide compound of formula (LiAaNibCocMndMoeMyO2) and lithium manganese composite oxide compound of formula (Li2Mn65M1cO3) components form a layered structure.    A = Na and/or K;    M = Mg, Zn, Al, Ga, B, Zr, Si, Ti, Nb or any two or more of their mixture;    M1 = not defined;    X = F, S, Cl, I or any two or more of their mixture;    x, c, f = 0-1;    a = 0.01-0.1;    b, d = 0.01-1;    e = 0-0.2;    y = 0-0.15; and    z = 0-0.33.    INDEPENDENT CLAIMS are included for:    (1) a process for producing a transition metal carbonate comprising precipitating a precipitate of oxide powders from a solution comprising metal carbonate compound of formula (A2CO3), metal bicarbonate compound of formula (AHCO3), metal hydroxide compound of formula (AOH) or any two or more of their mixture, metal nickel composite oxide compound of formula (AaNibCocMndMkO2) (II) and a mixed lithium source; and calcining the precipitate of oxide powders to obtain lithium metal nickel composite oxide compound of formula (Li1+gANibCocMndMoeMyO2-zXz) (III); and    (2) a cathode material and rechargeable secondary battery electrode comprising (III) produced by the process.    In formula (II) and (III),    M = Ca, Mg, Zn, Al, Ga, B, Zr, Si, Ti, Nb or W;    a = 0-0.1;    b, c, d = 0-1;    g = 0-0.33; and    k = 0.01-0.15.