Abstract
A quite general and straightforward procedure to study the contributions to the high-order anisotropy terms due to the mixing between states with different spin S in magnetic clusters has been presented. This procedure is based on a perturbational approach and consists of adding to the effective spin Hamiltonian some terms depending on the anisotropic interactions causing the mixing. These terms are written as functions of some new operators which depends on the total spin S. The present approach has been applied to study the behavior of the cluster Cr8.
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