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Site Symmetry in Crystals pp 213–236Cite as

Induced Representations of Space Groups in Phonon Spectroscopy of Crystals

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Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 108))

Abstract

The use of the site-symmetry approach in lattice dynamics allows one to make a quick group-theoretical analysis of the phonon symmetry not only at the Brillouin-zone center but in the entire Brillouin zone. To demonstrate the efficiency of this method for crystals with many atoms in the unit cell we have considered the symmetry of the phonon states in high-temperature superconductor crystals. Bearing in mind the considerable current theoretical and experimental interest in the study of semiconductor superlattices we consider selection rules due to phonon symmetry and optical spectra for the semiconductor superlattices (GaAs)m (AlAs)n and (Si)m (Ge)n.

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Authors and Affiliations

  1. Department of Chemistry, St. Petersburg University, St. Peterhoff, Univrsitetiskii pr. 2, 198904, St. Petersburg, Russia

    Professor Robert A. Evarestov

  2. Department of Theoretical Physics, Institute of Fine Mechanics and Optics, Sablinskaya 14, 197101, St. Petersburg, Russia

    Professor Vyacheslav P. Smirnov

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  1. Professor Robert A. Evarestov
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  2. Professor Vyacheslav P. Smirnov
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© 1997 Springer-Verlag Berlin Heidelberg

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Evarestov, R.A., Smirnov, V.P. (1997). Induced Representations of Space Groups in Phonon Spectroscopy of Crystals. In: Site Symmetry in Crystals. Springer Series in Solid-State Sciences, vol 108. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60488-1_8

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  • DOI: https://doi.org/10.1007/978-3-642-60488-1_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61466-1

  • Online ISBN: 978-3-642-60488-1

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