Hyperfine Interactions inFCenters

Abstract

A method of calculating the magnetic and quadrupole hyperfine interactions of an electron with neighboring and next nearest neighboring nuclei in the vacancy model of the $F$ center and the change in its spectroscopic splitting factor are presented and carried out in the case of KCl. Two wave functions are used for the $F$ electron in this calculation, one obtained from a point-charge treatment of the crystal lattice and the other from a square-well approximation of the vacancy. The results are shown to be nearly the same for these two widely different approximations and are found to be in good qualitative agreement and even fair quantitative agreement with experimental data of Feher and Kip et al.