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T-MATRIX APPROACH TO ELECTRON DISTRIBUTION IN CRYSTALS

Technical Report ·
DOI:https://doi.org/10.2172/4628645· OSTI ID:4628645
The wave functions for valence or conduction electrons are given in the form proposed by Phillips and Kleinmran. The wave equation for the smooth part of the electron wave functions is rewritten as an integral eiluation that is solved by using the t-matrix formalism. The smooth part of the wave function is then given by a plane wave plus waves arising from electron scattering by the effective potential of the crystal which might contain point imperfections. Approximate expressions for the wave functions, density andd energy of the valence electroms and the self-consistent crystal potential are given. Numerical results obtained for the Fourier coefficients of the valence electron charge density in diamond exhibit covalent bonding anrd are in good agreement with experimental results. (auth)
Research Organization:
Illinois. Univ., Urbana
NSA Number:
NSA-17-041544
OSTI ID:
4628645
Report Number(s):
CONF-23-20
Country of Publication:
United States
Language:
English

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