Calculation of Exchange Constants in Spinels Chromites Zn_xCo_1−xCr2O4

The exchange interactions of the nearest-neighbor exchange constant between tetrahedral and octahedral sublattices (J_AB(x)), nearest-neighbor exchange constant inside tetrahedral sublattice (J_AA(x)) and nearest-neighbor exchange constant inside octahedral sublattice (J_BB(x)) in cobalt and zinc chromites are calculated using the probability distribution. The Curie–Weiss temperature and the critical temperature are deduced using the mean field and the high temperature series expansion theories in Zn_xCo_1−xCr₂O₄. The critical exponent associated with the magnetic susceptibility (γ) is deduced for CoCr₂O₄.