Molecular Spectra and Molecular Structure - 1982 PS4 - Edubirdie

University:
Widener University
Course:
PHYS-121 | Fundamentals of Physics I
Academic year:

2023
Views:

58

Pages:

1
Author:

Lindsay Hebert

Problem Set #4 1. See Problem Set # 4, 1977, question # 1. 2. See Problem Set # 4, 1977, question # 2. 3. See Problem Set # 4, 1977, question # 3. (a) See Problem Set # 4, 1977, question # 3a. (b) See Problem Set # 4, 1977, question # 3b. (c) The ground electronic state of C3 O2 is nondegenerate. What is the degeneracy of ψmol when C3 O2 is in its ground electronic state with v1 = v2 = v3 = v4 = v5 = v6 = 0, v7 = 1, and the rotational quantum number J = 5? The normal coordinate Q7 is antisymmetric with respect to simultaneous interchange of all pairs of equivalent nuclei. What is the degeneracy of ψmol for the above state with J = 6 instead of 5? 4. See Problem Set # 4, 1977, question # 6. 5. 16 O12 C32 S is a linear molecule. The bond lengths are rCO = 1.16Å rCS = 1.56Å and the observed fundamental vibrational frequencies are ν1 = 858.9 cm−1 stretch ν2 = 520.4 cm−1 bend ν3 = 2062.2 cm−1 stretch. (a) Obtain kCS , kCO , and kθ [rCO rCS ]−1 in dynes/cm. (b) What are the amplitudes for C-O and C-S stretch in ν1 ? (c) What are the vibrational frequencies for 18 O12 C32 S?

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