Electronic States in Crystals
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The energy band theory assumes that electrons in a crystal move independently of the other electrons in a potential V(r) that has the same symmetry as the crystal lattice. In this chapter, we investigate how the crystal symmetry influences the energy spectra and wavefunctions (Bloch functions) of electrons. Selection rules associated with various electronic processes are also discussed. Finally, Frenkel excitons in molecular crystals are considered, which present another interesting application of the space group representations.
KeywordsIrreducible Representation Lattice Vibration Atomic Orbital Product Representation Symmetry Operation
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- 12.2A. A. Maradudin, E. W. Montroll, G. H. Weiss, I. P. Ipatova:Theory of Lattice Dynamics in the Harmonic Approximation, 2nd ed. (Academic, New York 1971) Chap. 3Google Scholar