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Linear wave‐vector dependence of zone center optical phonons
Author(s) -
Bizek Hana M.,
Imaino W.,
Ramdas A. K.,
Rodriguez S.
Publication year - 1981
Publication title -
journal of raman spectroscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.748
H-Index - 110
eISSN - 1097-4555
pISSN - 0377-0486
DOI - 10.1002/jrs.1250100119
Subject(s) - raman spectroscopy , phonon , wave vector , germanium oxide , bismuth , degenerate energy levels , center (category theory) , symmetry (geometry) , dispersion (optics) , condensed matter physics , polar , crystal (programming language) , quartz , physics , molecular physics , germanium , optics , materials science , chemistry , quantum mechanics , crystallography , mathematics , geometry , optoelectronics , computer science , programming language , silicon , metallurgy , composite material
Symmetry arguments including time reversal show that the polar, degenerate optical zone center phonons exhibit a dispersion linear in wave‐vector provided the crystal does not possess improper symmetry operations. After reviewing the theory, we present experimental results on the Raman spectra of α‐quartz and bismuth germanium oxide which illustrate this effect.