Abstract
The Jahn-Teller effect for tetrahedral-site Fe 2+ ions is expressed to second-order in the interaction energy and to lowest-order anharmonic vibrational energies. The formal results are identical to those for Mn 3+ or Cu 2+ ions in octahedral sites. However, interpretation of the parameters that enter the formal expressions shows that the mode and transition temperature of any static, crystalline distortion is much more strongly influenced by long-range elastic coupling in the case of tetrahedral-site Fe 2+ ions. This result is used to interpret the absence of a static distortion from cubic symmetry in the spinel Fe[Al 2]O 4, for the occurrence of tetragonal ( c a < 1 and c a > 1 ) in chromium and vanadium spinels containing tetrahedral-site Fe 2+ ions, and for the complex crystallographic properties of the system Fe 3− x Cr xO 4.
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