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. 2021 Sep 15;61(9):4544–4553. doi: 10.1021/acs.jcim.1c00885

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
a

The number of entries in the data set is given in parentheses.

b

Calculated using the Gaussian program package.47