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

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5.80 Small-Molecule Spectroscopy and Dynamics
Fall 2008
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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.