In an analysis of the influence of the Jahn-Teller (JT) distortion in KCuF3 on the exchange-coupling constants (ecc) along (JS ≈ -190K), and perpendicular to (JAS ≈ 0) the c-axis, two models are considered. First, a three-center, four-electron model is adopted with d(eg)- and pσ-orbitals at the cations and anion, respectively. Experimental values of ionization potentials and electron affinities are employed. The model accounts for the JT-distortion by using the induced admixtures of the eg-orbitals on the copper cations. The computations involve CI. Secondly, taking s-orbitals at all centers, we perform three-center, four-electron model calculations supplemented with two-anion non-additive exchange contributions obtained from four-center, six-electron model calculations. The latter contributions, strongly geometry dependent, account for the effect of JT-distortion on the ecc's. First-order exchange-perturbation theory is used. In the applications to KCuF3 we adopt in the two models the same orbital parameterization, based on atomic properties, with which the ecc's in the regular perovskites KMF3 : M = Mn, Co and Ni, are reproduced. The resulting values for JS and JAS agree with experiment. The vanishing value of JAS is structural in the first (pd-) model and accidental in the second (s-) model. This discrepancy is discussed.
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