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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

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

Principles of Modern Chemistry
Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter20: Molecular Spectroscopy And Photochemistry
Section: Chapter Questions
Problem 13P
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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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