Approximate Wave Functions for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>U</mml:mi></mml:math>Center by the Point-Ion-Lattice Method

Abstract

Wave functions for the ground state and the first excited state of the $U$ center are calculated in the point-ion-lattice approximation, and the term values are obtained. The transition energy and the oscillator strengths are computed, and the former are compared with experimental data. They are approximately 20% smaller than the observed transition energies. A qualitative argument is presented, suggesting that this discrepancy can be removed by inclusion of the exchange energy.