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Microscopic Theory of Band and Local States in Ionic Crystals
Author(s) -
Evseev Z. Ya.,
Tolpygo K. B.
Publication year - 1969
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.19690340104
Subject(s) - polaron , ionic bonding , electron , radius , dispersion (optics) , physics , condensed matter physics , range (aeronautics) , ionic radius , dispersion relation , electronic band structure , effective mass (spring–mass system) , chemistry , quantum mechanics , materials science , ion , computer security , computer science , composite material
The theory of band and local states of electrons in ionic crystals with due regard for interelectronic interaction and with some approximation to the interelectron correlation was proposed [1]. It is developed for NaCl crystals having one excess electron. The law of dispersion and the wave functions of a band electron are defined here. The minimum E ( k ) is at k = 0 and the effective mass is equal to 0.624 m , where m is the mass of the free electron. The energy and the radius of the polaron in strong‐bond approximation practically coincide with the results of the macrotheory [2]. This gives an opportunity to apply its methods and the approximation of intermediate and weak bonds, for at \documentclass{article}\pagestyle{empty}\begin{document}$ \mu /m = 0.624,\,\alpha = 3.95\sqrt{2\,.} \left[3 \right] $\end{document} . The calculated potential of deformation and the acoustic mobility are in good agreement with the results of experiments [4] in a temperature range of 30 to 200°K.