Table 6. MSE and MAE of the Solvation Free Energy in kcal/mol for 57 Nonpolar Solvents Computed Using the ESE-PM7 Model in Comparison with uESE-CM5 and SMD (Total of 1554 Entries).
| uESE-CM5 |
SMDb |
ESE-PM7 |
|||||
|---|---|---|---|---|---|---|---|
| solventa | MSE | MAE | MSE | MAE | MSE | MAE | SD |
| pentane (26) | –0.01 | 0.28 | –0.22 | 0.35 | –0.01 | 0.34 | 0.50 |
| hexane (59) | –0.01 | 0.36 | –0.01 | 0.52 | 0.03 | 0.48 | 0.65 |
| heptane (69) | 0.02 | 0.37 | 0.22 | 0.55 | 0.07 | 0.42 | 0.60 |
| isooctane (32) | –0.03 | 0.39 | –0.32 | 0.45 | –0.02 | 0.39 | 0.55 |
| octane (38) | –0.01 | 0.28 | 0.06 | 0.43 | 0.01 | 0.36 | 0.50 |
| nonane (26) | –0.02 | 0.22 | 0.04 | 0.37 | 0.01 | 0.18 | 0.22 |
| decane (39) | –0.04 | 0.30 | 0.02 | 0.43 | –0.02 | 0.29 | 0.47 |
| undecane (13) | 0.02 | 0.33 | 0.27 | 0.49 | 0.05 | 0.40 | 0.46 |
| dodecane (8) | –0.12 | 0.34 | 0.06 | 0.30 | 0.02 | 0.18 | 0.21 |
| cyclohexane (92) | –0.04 | 0.46 | 0.32 | 0.60 | –0.01 | 0.49 | 0.68 |
| perfluorobenzene (15) | 0.06 | 0.36 | 0.49 | 0.56 | 0.03 | 0.38 | 0.46 |
| pentadecane (9) | –0.12 | 0.31 | 0.39 | 0.48 | 0.04 | 0.13 | 0.16 |
| hexadecane (198) | –0.05 | 0.45 | 0.32 | 0.68 | –0.04 | 0.45 | 0.71 |
| decalin (27) | 0.02 | 0.30 | 0.57 | 0.67 | 0.02 | 0.37 | 0.51 |
| carbon tetrachloride (79) | 0.01 | 0.35 | 0.02 | 0.53 | 0.02 | 0.45 | 0.60 |
| isopropyltoluene (6) | 0.02 | 0.22 | 0.49 | 0.49 | 0.01 | 0.15 | 0.17 |
| mesitylene (7) | 0.02 | 0.25 | 0.09 | 0.54 | 0.05 | 0.39 | 0.50 |
| tetrachloroethene (10) | 0.02 | 0.26 | 0.57 | 0.74 | 0.01 | 0.18 | 0.21 |
| benzene (75) | 0.14 | 0.51 | 0.58 | 0.81 | 0.20 | 0.71 | 1.05 |
| sec-butylbenzene (5) | 0.04 | 0.16 | 0.12 | 0.25 | 0.04 | 0.19 | 0.21 |
| tert-butylbenzene (14) | 0.03 | 0.25 | 0.09 | 0.40 | 0.04 | 0.29 | 0.44 |
| butylbenzene (10) | 0.03 | 0.26 | 0.34 | 0.50 | 0.05 | 0.32 | 0.45 |
| trimethylbenzene (11) | 0.01 | 0.21 | 0.23 | 0.46 | 0.02 | 0.20 | 0.28 |
| isopropylbenzene (19) | –0.02 | 0.25 | –0.05 | 0.39 | –0.04 | 0.28 | 0.46 |
| toluene (51) | 0.01 | 0.30 | 0.35 | 0.58 | –0.01 | 0.39 | 0.52 |
| triethylamine (7) | –0.03 | 0.58 | 0.77 | 0.98 | –0.01 | 0.60 | 0.82 |
| xylene (48) | 0.03 | 0.34 | 0.45 | 0.60 | 0.01 | 0.39 | 0.53 |
| ethylbenzene (29) | –0.03 | 0.30 | 0.17 | 0.47 | –0.04 | 0.35 | 0.46 |
| carbon disulfide (15) | –0.13 | 0.43 | 0.12 | 0.65 | –0.14 | 0.71 | 1.16 |
| tetralin (9) | –0.31 | 0.71 | –1.08 | 1.30 | –0.35 | 0.71 | 1.17 |
| dibutyl ether (15) | 0.06 | 0.60 | 0.61 | 0.79 | 0.06 | 0.58 | 0.86 |
| diisopropyl ether (22) | 0.03 | 0.91 | 0.41 | 0.76 | –0.01 | 1.00 | 1.23 |
| hexadecyl iodide (9) | –0.03 | 0.23 | –0.07 | 0.42 | –0.02 | 0.17 | 0.22 |
| phenyl ether (6) | –0.09 | 0.35 | –1.05 | 1.05 | –0.11 | 0.48 | 0.76 |
| fluorooctane (6) | –0.01 | 0.06 | –0.48 | 0.48 | –0.02 | 0.14 | 0.18 |
| ethoxybenzene (7) | –0.09 | 0.34 | 0.08 | 0.45 | –0.13 | 0.47 | 0.74 |
| anisole (8) | –0.05 | 0.27 | 0.31 | 0.51 | –0.08 | 0.46 | 0.75 |
| diethyl ether (72) | –0.01 | 0.78 | 0.26 | 0.82 | 0.03 | 0.89 | 1.13 |
| bromoform (12) | –0.04 | 0.24 | 0.72 | 0.72 | –0.05 | 0.26 | 0.44 |
| iodobenzene (20) | –0.07 | 0.45 | –0.20 | 0.34 | –0.06 | 0.50 | 0.75 |
| chloroform (109) | 0.00 | 0.64 | 0.28 | 0.79 | 0.06 | 0.81 | 1.15 |
| dibromoethane (10) | –0.10 | 0.34 | 0.63 | 0.70 | –0.08 | 0.34 | 0.47 |
| butyl acetate (22) | 0.08 | 0.56 | 1.08 | 1.15 | 0.08 | 0.66 | 0.92 |
| bromooctane (5) | –0.04 | 0.16 | –0.88 | 0.88 | –0.05 | 0.27 | 0.32 |
| bromobenzene (27) | –0.07 | 0.39 | –0.48 | 0.51 | –0.05 | 0.51 | 0.70 |
| fluorobenzene (7) | –0.13 | 0.51 | –0.79 | 0.83 | –0.16 | 0.69 | 0.96 |
| chlorobenzene (38) | –0.07 | 0.39 | –0.63 | 0.65 | –0.03 | 0.47 | 0.66 |
| chlorohexane (11) | –0.01 | 0.17 | –1.10 | 1.10 | –0.02 | 0.30 | 0.40 |
| ethyl acetate (24) | 0.10 | 0.85 | 0.99 | 1.10 | 0.01 | 0.97 | 1.34 |
| acetic acid (7) | 0.06 | 0.46 | 2.37 | 2.37 | –0.01 | 0.73 | 0.98 |
| aniline (10) | 0.22 | 0.70 | 0.76 | 0.78 | 0.20 | 0.84 | 1.23 |
| dimethylpyridine (6) | –0.05 | 0.59 | 0.13 | 0.69 | 0.00 | 0.52 | 0.62 |
| tetrahydrofuran (7) | –0.13 | 0.58 | 0.33 | 0.77 | –0.17 | 0.72 | 0.97 |
| decanol (11) | 0.06 | 0.62 | 1.17 | 1.22 | 0.11 | 0.91 | 1.00 |
| tributyl phosphate (16) | 0.04 | 0.54 | 0.38 | 0.56 | 0.02 | 0.43 | 0.52 |
| nonanol (10) | 0.03 | 0.83 | 0.67 | 0.73 | 0.09 | 1.33 | 1.44 |
| dichloromethane (11) | –0.18 | 0.67 | –0.61 | 0.65 | –0.29 | 0.83 | 1.14 |
| all nonpolar (1554) | –0.01 | 0.44 | 0.22 | 0.65 | 0.01 | 0.51 | 0.77 |
The number of entries in the data set is given in parentheses.
Calculated using the Gaussian program package.47