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Group‐Theoretical Classification of Electronic States in Crystals Composed of Pairs and Complexes of Bound Impurity Ions
Author(s) -
Vonsovskii S. V.,
Cherepanov V. I.,
Men A. N.,
Nikiforov A. E.
Publication year - 1967
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.19670240105
Subject(s) - ion , impurity , corundum , group (periodic table) , crystal (programming language) , atomic physics , electron , ionic bonding , chemistry , crystallography , condensed matter physics , physics , mineralogy , quantum mechanics , organic chemistry , computer science , programming language
A group‐theoretical method is suggested for determining allowed type states of pairs and complexes of impurity ions in ionic crystals. Two cases are discussed in detail. In the first case the energy of the electrostatic interaction V e int between electrons of different impurity ions is greater than that of the internal magnetic interactions H m 0 and in the second case V e int is less than H m 0 . For both cases V e int is assumed to be smaller than the total energy of the internal electrostatic interactions and the energies of a crystal field produced by the remaining ions of the crystal. As an example the I—V order pairs of the equivalent ions Cr 3+ in corundum are examined.