Parameterization of the energy spectrum of an impurity ion in a perturbing field

Autor: V. I. Cherepanov
Rok vydání: 1995
Předmět:
Zdroj: Russian Physics Journal. 38:273-279
ISSN: 1573-9228
1064-8887
DOI: 10.1007/bf00559473
Popis: The method of parameterizing the energy spectrum for systems with symmetries of the simplest point groups (SR groups) in an external stationary perturbing field has been generalized to the third approximation. The sums over intermediate states are partially convolved in 3nΓ coefficients. We retain sums of derivatives of the given matrix elements which refer to states of all possible energy levels which enter into the “external” parameters which represent the minimal set of parameters describing the corrections to the energy. We give formulas for calculating the “external” parameters and establish the connection with the “internal” parameters in the usual version of the stationary theory of perturbations. In determining the parameters from experimental data the advantage of our method is found in those cases where the number of “external” parameters is less than the number of “internal” ones, which is the usual case. The method is illustrated using the Zeeman and Stark effects for energy levels of the T2g type for an impurity ion having Oh site symmetry, as an example.
Databáze: OpenAIRE
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