TABLE VIII.
Convergence of correlation increments for the energy of the 11A1 state, in mh.
| Geometry | ΔE(1, 2) | ΔE(3) | ΔE(4)a | ΔECorra,b | Uncertainty | |
|---|---|---|---|---|---|---|
| OM | CAS(2,2) | −682.43 | −53.26 | −79.32 | −815.00 | ±0.08 |
| CAS(2,2)* | −449.79 | −39.65 | −36.17 | −525.62 | ±0.18 | |
| CAS(6,4)* | −363.31 | −28.36 | −18.17 | −409.83 | ±0.04 | |
| CAS(12,7)*a | −303.43 | −16.28 | −10.12 | −329.83 | ±0.02 | |
| CAS(12,7)*b | −365.19 | −26.90 | −15.45 | −407.54 | ±0.06 | |
| TS | CAS(2,2) | −662.26 | −52.56 | −87.59 | −802.41 | ±0.04 |
| CAS(2,2)* | −436.18 | −39.11 | −43.64 (−44.03) | −518.93 (−519.32) | ±0.42 | |
| CAS(6,4)* | −352.25 | −18.15 | −23.59 | −394.00 | ±0.15 | |
| CAS(12,7)*a | −289.63 | −9.97 | −11.26 | −310.86 | ±0.05 | |
| CAS(12,7)*b | −352.36 | −18.86 | −21.62 | −392.84 | ±0.44 | |
| XM | CAS(2,2) | −662.28 | −52.68 | −88.35 | −803.31 | ±0.58 |
| CAS(2,2)* | −436.20 | −39.26 | −44.03 | −519.50 | ±0.49 | |
| CAS(6,4)* | −352.08 | −18.16 | −24.09 | −394.33 | ±0.04 | |
| CAS(12,7)*a | −289.68 | −9.97 | −11.27 | −310.92 | ±0.05 | |
| CAS(12,7)*b | −352.19 | −19.45 | −20.79 | −392.43 | ±0.23 | |
| CI | CAS(2,2) | −665.44 | −57.91 | −94.39 | −817.73 | ±0.36 |
| CAS(2,2)* | −443.60 | −44.90 | −48.95 (−49.36) | −537.45 (−537.87) | ±0.79 | |
| CAS(6,4)* | −358.96 | −18.97 | −25.63 | −403.55 | ±0.17 | |
| CAS(12,7)*a | −288.63 | −9.84 | −11.65 | −310.12 | ±0.02 | |
| CAS(12,7)*b | −359.13 | −20.24 | −25.22 | −404.60 | ±0.82 | |
| RM | CAS(2,2) | −652.96 | −41.05 | −77.17 | −771.18 | ±0.42 |
| CAS(2,2)* | −420.66 | −27.58 | −34.01 | −482.25 | ±0.02 | |
| CAS(6,4)* | −385.80 | −24.83 | −23.26 | −433.89 | ±0.05 | |
| CAS(12,7)*a | −318.10 | −14.44 | −12.19 | −344.74 | ±0.02 | |
| CAS(12,7)*b | −384.84 | −25.12 | −21.59 | −431.54 | ±0.11 | |
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.