Table 1. Level Splittings
and the Separate Contributions from Asymmetry, d, and Tunneling, ℏΩ, All in cm–1a.
| DFT(B3LYP) PES |
Δ-ML PES |
|||||||
|---|---|---|---|---|---|---|---|---|
| isotopomer | d | ℏΩ | Δ | d | ℏΩ | Δ | ΔΔ-MLcorr | Δexpt |
| parent | 0 | 1.33 | 2.67 | 0 | 0.34 | 0.68 | 0.92 | 0.9735,36 |
| 13C14 | 0 | 1.33 | 2.66 | 0 | 0.34 | 0.67 | 0.91 | 0.9736 |
| 18O218O3 | 0 | 1.27 | 2.54 | 0 | 0.32 | 0.63 | 0.86 | 0.87,41 0.8343 |
| D1 | 0 | 0.082 | 0.16 | 0 | 0.015 | 0.031 | 0.042 | 0.05136,43 |
| 18O218O3 D1 | 0 | 0.078 | 0.15 | 0 | 0.014 | 0.028 | 0.038 | 0.043 (estimated)43 |
| 18O2 | 1.02 | 1.28 | 3.27 | 0.89 | 0.32 | 1.89 | 1.98 | 1.70 (estimated)41,44 |
| 13C4 | –0.55 | 1.32 | 2.86 | –0.62 | 0.33 | 1.41 | 1.54 | 0.89 (outlier)36 |
| 13C6 | 0.36 | 1.33 | 2.75 | 0.34 | 0.34 | 0.95 | 1.14 | 1.1336 |
| 13C8 | 0.10 | 1.33 | 2.67 | 0.11 | 0.34 | 0.71 | 0.94 | 0.9836 |
| 13C8 D1 | 0.10 | 0.082 | 0.26 | 0.042 | 0.015 | 0.091 | 0.095 | |
The subscript numbers for the isotopomers indicate the atom(s) that were isotopically substituted, using the numbering from Figure 1, whereas the superscript numbers indicate the substituted atomic mass. ΔΔ-MLcorr corresponds to the splittings corrected with MTA-CCSD(T) points along the instanton path.