ps4_1982

ps4_1982 - What is the degeneracy of ψ mol for the above...

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MIT OpenCourseWare http://ocw.mit.edu 5.80 Small-Molecule Spectroscopy and Dynamics Fall 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .
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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Chemistry 5.76 Spring 1982 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 C 3 O 2 is nondegenerate. What is the degeneracy of ψ mol when C 3 O 2 is in its ground electronic state with v 1 = v 2 = v 3 = v 4 = v 5 = v 6 = 0, v 7 = 1, and the rotational quantum number J = 5? The normal coordinate Q 7 is antisymmetric with respect to simultaneous interchange of all pairs of equivalent nuclei.
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Unformatted text preview: What is the degeneracy of ψ mol for the above state with J = 6 instead of 5? 4. See Problem Set # 4, 1977, question # 6. 5. 16 O 12 C 32 S is a linear molecule. The bond lengths are r CO = 1 . 16Å r CS = 1 . 56Å and the observed fundamental vibrational frequencies are ν 1 = 858 . 9 cm − 1 stretch ν 2 = 520 . 4 cm − 1 bend ν 3 = 2062 . 2 cm − 1 stretch. (a) Obtain k CS , k CO , and k θ [ r CO r CS ] − 1 in dynes / cm. (b) What are the amplitudes for C-O and C-S stretch in ν 1 ? (c) What are the vibrational frequencies for 18 O 12 C 32 S?...
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ps4_1982 - What is the degeneracy of ψ mol for the above...

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