Table 6. Mean Absolute Errors (kcal/mol) for the GMTKN30-CHNOF Benchmark Set: MNDO, AM1, PMx, and OMxa.
method |
||||||||||
---|---|---|---|---|---|---|---|---|---|---|
no. | subset | N | MNDO | AM1 | PM3 | PM6 | PM7 | OM1 | OM2 | OM3 |
overall | 480 | 27.48 | 16.45 | 14.44 | 16.29 | 16.49 | 11.93 | 7.94 | 7.17 | |
overall*b | 454 | 27.34 | 14.65 | 11.26 | 10.17 | 9.60 | 11.29 | 6.95 | 6.30 | |
1 | MB08-165 | 25 | 25.53 | 43.66 | 68.73 | 124.39 | 138.35 | 19.47 | 22.47 | 19.46 |
1 | MB08-165 (corr)c | 25 | 26.52 | 31.84 | 52.27 | 119.53 | 134.55 | 11.04 | 12.20 | 15.03 |
2 | W4-08 (corr) | 50 | 14.11 | 10.24 | 9.33 | 7.95 | 6.53 | 7.58 | 4.19 | 6.20 |
2a | W4-08woMRd (corr) | 43 | 10.32 | 8.90 | 7.66 | 8.00 | 6.51 | 6.00 | 4.12 | 5.37 |
3 | G21IP | 15 | 24.75 | 28.12 | 20.41 | 35.74 | 32.29 | 22.45 | 12.00 | 11.45 |
4 | G21EA | 12 | 27.44 | 25.84 | 14.23 | 20.08 | 18.94 | 24.81 | 11.39 | 9.31 |
5 | PA | 8 | 12.48 | 12.87 | 16.12 | 18.45 | 21.46 | 4.96 | 14.82 | 11.99 |
6 | SIE11 | 5 | 21.22 | 9.49 | 12.00 | 4.03 | 4.82 | 4.39 | 7.78 | 4.31 |
7 | BHPERI | 22 | 25.15 | 9.97 | 14.05 | 9.73 | 6.13 | 10.67 | 8.21 | 8.25 |
8 | BH76 | 54 | 23.84 | 13.06 | 13.36 | 13.39 | 13.68 | 10.39 | 9.72 | 10.66 |
9 | BH76RC | 22 | 11.88 | 13.49 | 11.57 | 15.72 | 16.28 | 5.28 | 4.29 | 5.37 |
10 | RSE43 | 34 | 5.00 | 3.55 | 4.02 | 6.10 | 5.83 | 3.74 | 4.31 | 5.24 |
11 | O3ADD6e | 6 | 14.90 | 10.57 | 9.87 | 2.03 | 26.84 | 4.01 | 12.24 | 10.97 |
12 | G2RC | 15 | 9.23 | 13.42 | 21.68 | 29.47 | 33.48 | 9.07 | 8.23 | 4.16 |
13 | ISO34 | 34 | 7.44 | 6.45 | 4.04 | 3.46 | 2.92 | 4.45 | 4.44 | 4.37 |
14 | ISOL22 | 18 | 16.76 | 10.25 | 8.27 | 7.41 | 6.55 | 7.99 | 5.31 | 6.05 |
15 | DC9 | 7 | 41.46 | 35.75 | 25.99 | 17.39 | 21.94 | 26.38 | 25.02 | 24.69 |
15a | DC9woC20f | 6 | 24.66 | 15.68 | 13.30 | 5.18 | 8.64 | 11.40 | 13.59 | 13.20 |
15b | C20g | 1 | 142.25 | 156.16 | 102.09 | 90.66 | 101.72 | 116.24 | 93.63 | 93.61 |
16 | DARC | 14 | 13.10 | 4.65 | 5.32 | 3.91 | 4.26 | 4.10 | 7.24 | 4.91 |
17 | BSR36 | 36 | 52.36 | 39.56 | 16.66 | 7.38 | 9.63 | 30.29 | 10.77 | 3.46 |
17 | BSR36 (corr)h | 36 | 56.86 | 44.24 | 18.53 | 14.33 | 17.40 | 35.01 | 7.08 | 1.90 |
18 | IDISP | 6 | 34.58 | 13.52 | 8.58 | 13.78 | 16.82 | 13.69 | 7.34 | 6.19 |
19 | WATER27 | 27 | 165.05 | 48.62 | 31.61 | 17.81 | 5.78 | 36.09 | 12.28 | 9.19 |
19 | WATER27 (upd)i | 27 | 164.26 | 47.83 | 30.82 | 17.02 | 6.51 | 35.30 | 11.49 | 8.40 |
20 | S22 | 22 | 16.74 | 6.78 | 5.91 | 3.37 | 0.76 | 5.10 | 3.05 | 3.54 |
21 | ADIM6 | 6 | 11.37 | 3.14 | 0.48 | 2.78 | 0.22 | 4.30 | 3.13 | 4.09 |
22 | PCONF | 10 | 10.08 | 5.35 | 3.68 | 2.27 | 2.97 | 3.60 | 1.28 | 1.33 |
23 | ACONF | 15 | 1.97 | 0.44 | 0.44 | 0.56 | 0.56 | 0.52 | 0.64 | 0.86 |
24 | SCONF | 17 | 17.52 | 2.39 | 3.05 | 2.61 | 2.38 | 5.87 | 1.67 | 1.32 |
(corr) means that energies are obtained by removing ZPVE and thermal corrections from the SQC results (see text).
Without MB08-165 and C20.
Upon geometry optimization, some of the artificial molecules adopted structures very different from the reference geometries so that the computed corrections may be less accurate in these cases (see text).
Subset W4-08 without multireference cases.
The adduct O3 + C2H2 is better described as an open-shell singlet at OMx-Dn.
Subset DC9 without C20 bowl/cage isomerization energy.
C20 bowl/cage isomerization energy.
For some SQC methods the corrections suffer from large accumulation errors (see text).
Reference dissociation energies of four (H2O)20 clusters were updated with more accurate values from ref (132) (see text).