Table D.1
Nuclear spin statistical weights of the main isotopologue of propyne associated with the rotational states*.
CH3CCH | Ka | Γrotb | ![]() |
---|---|---|---|
0 | A1 or A2 | 2 | |
K = 3n (n ≠ 0) | A1 ⊕ A2 | 4 | |
K = 3n ± 1 | E | 2 |
Notes.(*) The nuclear spin degeneracy in this work is considered the same than in CDMS catalog (Endres et al. 2016). (a)The rotational states of a symmetric top are labeled by the quantum numbers JK, where J is the rotational angular momentum and the K is the projection of the rotational angular momentum along the z- molecule-fixed axis. The symmetry of the rotational states is characterized by the values of K and J. (b)The symmetry labeling of the rotational states. The states K = 0 with even or odd J have symmetry A1 or A2, respectively. (c)Although the three symmetry labelings A1 , A2 and E have the same nuclear spin degeneracy (in this work, 𝑔ns=2), the rotational states with quantum number K = 3n (n ≠ 0 is an integer) are K-type doublets that are degenerate and, therefore, their nuclear spin degeneracy takes a value double than the states with K = 0 or K = 3n ± 1.
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