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hw_7 - 4 in one dimension Set up the secular determinant...

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Physics 780.04 Winter Quarter 2009 Dr. Herbst HOMEWORK ASSIGNMENT # 7 DUE: FRIDAY 13 MARCH 1. For the simple linear symmetric triatomic molecule studied in class, show that the normal coordinates given lead to diagonal kinetic and potential energy expressions. 2. Consider a four-atom linear molecule with equal masses m (e.g. C
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Unformatted text preview: 4 ) in one dimension. Set up the secular determinant for the vibrational frequencies and show that λ =0 (translation) is a solution. 3. Determine the representations of the normal modes for ethylene, C 2 H 4 . Then determine which of these have IR-active fundamentals and via which dipole component....
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