TABLE IX.
Convergence of correlation increments for the energy of the 21A1 state, in mh.
| Geometry | ΔE(1, 2) | ΔE(3) | ΔE(4)a | ΔECorra,b | Uncertainty | |
|---|---|---|---|---|---|---|
| OM | CAS(2,2) | −663.40 | −55.78 | −122.76 | −841.95 | ±0.32 |
| CAS(2,2)* | −437.30 | −50.07 | −68.15 | −555.52 | ±0.08 | |
| CAS(6,4)* | −324.10 | −13.62 | −17.66 | −355.38 | ±0.04 | |
| CAS(12,7)*a | −270.89 | −7.77 | −10.62 | −289.28 | ±0.02 | |
| CAS(12,7)*b | −324.81 | −13.29 | −17.18 | −355.28 | ±0.17 | |
| TS | CAS(2,2) | −707.75 | −62.72 | −107.60 | −878.07 | ±1.78 |
| CAS(2,2)* | −488.57 | −51.85 | −58.30 (−57.78) | −598.72 (−598.20) | ±0.11 | |
| CAS(6,4)* | −361.07 | −26.71 | −26.05 | −413.82 | ±0.15 | |
| CAS(12,7)*a | −295.48 | −12.02 | −11.69 | −319.19 | ±0.05 | |
| CAS(12,7)*b | −365.01 | −26.50 | −23.13 | −414.64 | ±0.05 | |
| XM | CAS(2,2) | −707.67 | −62.61 | −104.06 | −874.34 | ±1.12 |
| CAS(2,2)* | −488.44 | −51.69 | −57.89 | −598.03 | ±0.18 | |
| CAS(6,4)* | −361.07 | −26.70 | −25.55 | −413.32 | ±0.04 | |
| CAS(12,7)*a | −295.64 | −12.06 | −11.69 | −319.38 | ±0.05 | |
| CAS(12,7)*b | −365.01 | −25.91 | −23.89 | −414.81 | ±0.26 | |
| CI | CAS(2,2) | −715.68 | −68.07 | −112.27 | −896.01 | ±0.35 |
| CAS(2,2)* | −500.25 | −57.72 | −65.41 (−64.22) | −623.37 (−622.18) | ±0.46 | |
| CAS(6,4)* | −365.55 | −26.80 | −31.10 | −423.44 | ±0.17 | |
| CAS(12,7)*a | −293.39 | −11.71 | −12.07 | −317.16 | ±0.02 | |
| CAS(12,7)*b | −369.37 | −26.85 | −26.32 | −422.53 | ±0.18 | |
| RM | CAS(2,2) | −692.63 | −80.91 | −91.56 | −865.11 | ±0.07 |
| CAS(2,2)* | −468.81 | −68.31 | −51.85 | −588.97 | ±0.81 | |
| CAS(6,4)* | −374.37 | −35.16 | −30.30 | −439.83 | ±0.05 | |
| CAS(12,7)*a | −317.17 | −32.77 | −24.02 | −373.96 | ±0.24 | |
| CAS(12,7)*b | −367.93 | −42.62 | −28.34 | −438.89 | ±0.13 | |
The values without parentheses were obtained using the CEEIS extrapolation for the CISDTQ increment ΔE(4). The values in parentheses for the CAS(2,2)* case at the TS and CI geometries were obtained by exact calculation of ΔE(4).
Total correlation energies (up to SDTQ) relative to the respective reference states.