MILL 发表于 2025-3-25 04:04:09
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Further aspects of vibrational spectroscopy,Chapter 7 introduced the technique of projection operators to generate symmetry-adapted linear combinations (SALCs) of vectors or functions, and several examples of bond-stretching vibrations were used as illustrations.Interim 发表于 2025-3-25 19:34:52
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Symmetry elements and symmetry operations,preciated from the earliest ages. Our aim here is to make the idea of symmetry quantitative, so that we can use the symmetry properties of a molecule to simplify many of the problems concerning the structure of molecules and the bonding of their constituent atoms. We will be dealing mainly with applEXULT 发表于 2025-3-26 03:42:22
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Representations of groups,e, however, and more convenient for mathematical analysis, if a way could be found of representing the effects of symmetry operations numerically; thus, a . of the molecule’s point group is required. Such a representation must reproduce exactly the relationships between the symmetry operations themscognizant 发表于 2025-3-26 10:44:35
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Group theory and vibrational spectroscopy,of the . atoms) and how to reduce this (or any other reducible representation) into its irreducible components. We shall now see that, using these principles, we can obtain a good deal of useful information from the vibrational spectrum of any molecule.