H the Solid State Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee ^: Received 19 June 1972

Phys. Rev. B 7, 1591 - 1602 (1973) ^A a trademark of The American Physical Society. Use of the user has read and agrees of the ( H ¹ the local mode and the force-constant changes in to induced far-infrared absorption are calculated. In most cases the parametrized values used in previous work. It is emphasized that the calculated force-constant changes give results comparable ) _{Vol. ,} - E _]   - _{T .} displacements are not generally equal. Occasionally, features not found in previously published experimental or theoretical work are observed. Repulsive Born-Mayer potentials for the H ^- g ^APS interaction in the three crystals are extracted from the quantum-mechanical calculations. Our techniques is handling the numerical evaluation for APS online journals implies that to ion in KCl, KBr, and KI are studied using force constants obtained from quantum-mechanical calculations of the Terms and Conditions in the the electronic structure of Green"s functions are discussed briefly.