Course notes on the interpretation of infrared and Raman by Dana W Mayo; Foil A Miller; R W Hannah

By Dana W Mayo; Foil A Miller; R W Hannah

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Phenyl 4–6 bands XIX. Answers to Section XIII. C. 1. a. 18 have a center of symmetry? 1. Kekule form of benzene. No. The atoms satisfy a center of symmetry ÀC double bond is opposite but the bonding does not. Notice that a CÀ a CÀ ÀC single bond. 2. Modern representation of benzene. Yes. All the CÀ ÀC bonds are equivalent. 3. BF3. No. 4. CH4. No. It has very high symmetry (tetrahedral), but no center of symmetry. 5. PF5. No. REFERENCES 1. F. W. Herschel, Philos. Trans. Roy. Soc. ) 90, 255–283, 284–292, 293–326, 437–538 (1800).

Fig. f. One vibration and two rotations of a diatomic molecule. INTRODUCTION 11 linear molecules are all diatomic molecules plus À À À ÀCÀ ÀO, HÀ OÀ ÀCÀ ÀH, and HÀ ÀCÀ ÀCÀ À ÀCÀ À À CÀ À ÀN. f. , must be vibrational. ) 2) Therefore for a nonlinear molecule (by far the most common case): No: of vibrational d:f: ¼ 3N À 3ðtranslationalÞ À 3ðrotationalÞ ¼ 3N À 6 For a linear molecule: No: of vibrational d:f: ¼ 3N À 3ðtranslationalÞ À 2ðrotationalÞ ¼ 3N À 5 2. There are as many fundamental vibrations as there are vibrational degrees of freedom: 3N À 6 or 3N À 5.

F. One vibration and two rotations of a diatomic molecule. INTRODUCTION 11 linear molecules are all diatomic molecules plus À À À ÀCÀ ÀO, HÀ OÀ ÀCÀ ÀH, and HÀ ÀCÀ ÀCÀ À ÀCÀ À À CÀ À ÀN. f. , must be vibrational. ) 2) Therefore for a nonlinear molecule (by far the most common case): No: of vibrational d:f: ¼ 3N À 3ðtranslationalÞ À 3ðrotationalÞ ¼ 3N À 6 For a linear molecule: No: of vibrational d:f: ¼ 3N À 3ðtranslationalÞ À 2ðrotationalÞ ¼ 3N À 5 2. There are as many fundamental vibrations as there are vibrational degrees of freedom: 3N À 6 or 3N À 5.

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