P11E.2 Suppose that three conformations are proposed for the nonlinear molecule H,O, (1, 2, and 3). The infrared absorption spectrum of gaseous H,O, has bands at 870, 1370, 2869, and 3417 cm. The Raman spectrum of the same sample has bands at 877, 1408, 1435, and 3407 cm. All bands correspond to fundamental vibrational wavenumbers and you may assume that: (a) the 870 and 877 cm bands arise from the same normal mode, and (b) the 3417 and 3407 cm bands arise from the same normal mode. (i) If H,O, were linear, how many normal modes of vibration would it have? (ii) Give the symmetry point group of each of the three proposed conformations of nonlinear H,O,. (iii) Determine which of the proposed conformations is inconsistent with the spectroscopic data. Explain your reasoning. 2

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P11E.2 Suppose that three conformations are proposed for the nonlinear
molecule H,O, (1, 2, and 3). The infrared absorption spectrum of gaseous
H,O, has bands at 870, 1370, 2869, and 3417 cm. The Raman spectrum
of the same sample has bands at 877, 1408, 1435, and 3407 cm. All bands
correspond to fundamental vibrational wavenumbers and you may assume
that: (a) the 870 and 877 cm bands arise from the same normal mode,
and (b) the 3417 and 3407 cm bands arise from the same normal mode.
(i) If H,O, were linear, how many normal modes of vibration would it
have? (ii) Give the symmetry point group of each of the three proposed
conformations of nonlinear H,O,. (iii) Determine which of the proposed
conformations is inconsistent with the spectroscopic data. Explain your
reasoning.
2
Transcribed Image Text:P11E.2 Suppose that three conformations are proposed for the nonlinear molecule H,O, (1, 2, and 3). The infrared absorption spectrum of gaseous H,O, has bands at 870, 1370, 2869, and 3417 cm. The Raman spectrum of the same sample has bands at 877, 1408, 1435, and 3407 cm. All bands correspond to fundamental vibrational wavenumbers and you may assume that: (a) the 870 and 877 cm bands arise from the same normal mode, and (b) the 3417 and 3407 cm bands arise from the same normal mode. (i) If H,O, were linear, how many normal modes of vibration would it have? (ii) Give the symmetry point group of each of the three proposed conformations of nonlinear H,O,. (iii) Determine which of the proposed conformations is inconsistent with the spectroscopic data. Explain your reasoning. 2
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