Abstract
The relaxation effects due to the presence of vacancies in sodium, metal have been studied using the oscillatory inter-ionic potential proposed by Cochran which incorporates semi-empirically the effects of the conduction electrons on the ionic field. The calculated radial ionic displacements for the first five shells of ions around the vacancy are (−4.77, + 2.66, −0.62, + 0.44, −0.86), in terms of percentages of the normal lattice separations, where a negative sign indicates a movement toward the vacancy. The calculated value of the relaxation energy is −0.071 eV. This is fairly small relative to the rigid-lattice value for the vacancy formation energy computed by Fumi (0.53 eV). The summation of the two values yields an energy of formation in close agreement with the recent experimental value by Feder and Charbnau.
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