The invention provides a positive
electrode active substance, a positive
electrode containing the positive
electrode active substance and a battery including the positive electrode. The positive electrode active substance contains a
crystal mixture including a first
crystal and a second
crystal, wherein the first crystal is selected from one or more of compounds represented by LixM'y (XO4) z, LiM'XO5, LiM'XO 6, and LiM'X2O7, where the ratio of x to z is larger than 0 and not larger than 1, the ratio of y to z is larger than 0 and not larger than 1.1, and M' is one or more selected from Na, Mn, Fe, Co, Ni, Ti, V, Y, Mg, Ca and Zn, and X is P, S, As, Mo or W; and the second crystal is selected from one or more of compounds represented by AaMbNcOd, where A, M and N are different from each others and are respectively
metal elements of group IIA, IIIA, IVA, VA, IB, IIB, IIIB, IVB, VB, VIB, VIIB and VIII, a and b are not less than 0 and not larger than 6, c is larger than 0 and not larger than 6, d is larger than 0 and not less than 12, and the summation of a and b is not equal to zero. The positive electrode active substance has an
electron conductivity of 0.01 to 10 S / cm at 25 DEG C, and can remarkably improve the
specific discharge capacity and the cycle performance of the battery.