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The spin-Hamiltonian (SH) parameters (g factors g(parallel to), g(perpendicular to) and hyperfine structure constants A(parallel to), A(perpendicular to)) for the Co(2+) ion in the tetragonal Zn(2+) site of a Ba(2)ZnF(6) crystal are calculated from the second-order perturbation formulas based on the cluster approach for the SH parameters of 3d(7) ions in tetragonal symmetry with the effective spin S = 1/2. In the calculations, a reduction factor due to the dynamical Jahn-Teller effect is used. The calculated results are in reasonable agreement with the experimental values, suggesting that the dynamical Jahn-Teller effect should be considered here. The defect structure of the Co(2+) center in Ba(2)ZnF(6):Co(2+) is also obtained from the calculations. The results are discussed.

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