Table 5
Statistical weights of acetylene isotopologs.
| Isotopolog ID | Isotopical species | I(C1 + H1) | I(C2 + H2) | Total (a) degeneracy | Statistic | Ψrov × Ψns = Ψtot | J parity | Statistical weight (gi) |
|---|---|---|---|---|---|---|---|---|
| 0 | C2H2 | 1/2 | 1/2 | 4 | Fermi (a) | s × a = a | even | 1 |
| a × s = a | odd | 3 | ||||||
| 1 | H 13C 12CH | 1,0 | 1/2 | 8 | ... | ... | even, odd | 8 |
| 2 | C2HD | 1/2 | 1 | 6 | ... | ... | even, odd | 6 |
| 3 | 13C2 H2 | 1,0 | 1,0 | 16 | Bose (s) | s × s = s | even | 10 |
| a × a = s | odd | 6 | ||||||
| 4 | D 12C 13CH | 1 | 0, 1 | 12 | ... | ... | even, odd | 12 |
| 5 | D 13C 12CH | 1/2, 3/2 | 1/2 | 12 | ... | ... | even, odd | 12 |
| 6 | C2D2 | 1 | 1 | 9 | Bose (s) | s × s = s | even | 6 |
| a × a = s | odd | 3 | ||||||
| 7 | D 13C 13CH | 1/2, 3/2 | 0, 1 | 24 | ... | ... | even, odd | 24 |
| 8 | D 13C 12CD | 1/2, 3/2 | 1 | 18 | ... | ... | even, odd | 18 |
| 9 | 13C2 D2 | 1/2, 3/2 | 1/2, 3/2 | 36 | Fermi (a) | s × a = a | even | 15 |
| a × s = a | odd | 21 |
Notes. Summary table for each isotopical species, including isotopolog ID, isotopical name, nuclear spin values, total degeneracy, symmetry statistics, rovibronic and nuclear spin wavefunctions, J parity, and statistical weights (gi). For detailed explanations, including symmetry constraints and their impact on statistical weights, refer to the main text.
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