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Factor groups, point groups, space groups: A review of some central concepts with application to vibrational spectroscopy on crystalline solids

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Abstract

Although crystallographers and solid-state spectroscopists have much in common, differences in background and tradition raise obstacles for an easy communication between the two groups of scientists. The present article features the concept of theFactor Group, which has its roots in group theory and crystallography, and is essential in the analysis of vibrational spectra of solids. A unified exposition of many concepts related to the factor group is given. The calcite structure of sodium nitrate is chosen as an illustrative example. Finally, some complications in the interpretation of vibrational spectra of “simple” solids like the alkali metal nitrates are discussed.

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  1. Department of Chemistry and Chemical Engineering, Royal Military College of Canada, K7K 5LO, Kingston, Ontario, Canada

    Lars J. Norrby

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  1. Lars J. Norrby
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Norrby, L.J. Factor groups, point groups, space groups: A review of some central concepts with application to vibrational spectroscopy on crystalline solids. Journal of Crystallographic and Spectroscopic Research 20, 595–604 (1990). https://doi.org/10.1007/BF01221902

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  • DOI: https://doi.org/10.1007/BF01221902

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