The Normal Coordinate Treatment for Molecules with C 2v, C 3v, and O h Symmetry

John R. Ferraro and Joseph S. Ziomek
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John R. Ferraro: Argonne National Laboratory
Joseph S. Ziomek: Argonne National Laboratory

Chapter Chapter 4 in Introductory Group Theory and Its Application to Molecular Structure, 1975, pp 135-180 from Springer

Abstract: Abstract The selection rules for a molecule, based on a hypothetical model, were derived in Chapter 2. The normal modes of this model can be determined using the normal coordinate treatment (NCT) method, which also serves to check the frequency assignments for the model. This method, which illustrates a useful application of group theory, depends on the bond lengths and bond angles of the model. Knowledge of force constants (the restoring force between two atoms) is also necessary, and the molecule must possess a high degree of symmetry.

Keywords: Force Constant; Secular Equation; Character Table; Common Bond; Angle Deformation (search for similar items in EconPapers)
Date: 1975
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DOI: 10.1007/978-1-4684-8795-4_4

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