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

Table 5. MSE and MAE of the Solvation Free Energy in kcal/mol for 20 Polar Aprotic Solvents Computed Using the ESE-PM7 Model in Comparison with uESE-CM5 and SMD (Total of 338 Entries).

  uESE-CM5b
SMDc
ESE-PM7
solventa MSE MAE MSE MAE MSE MAE SD
bromoethane (7) –0.04 0.61 –0.67 0.80 –0.09 0.72 1.05
2-methylpyridine (6) 0.09 0.53 –0.03 0.60 0.11 0.54 0.71
o-dichlorobenzene (11) –0.06 0.41 –0.85 0.85 0.00 0.80 1.05
dichloroethane (39) 0.07 0.51 –0.18 0.49 0.06 0.57 0.77
4-methyl-2-pentanone (MIBK) (13) 0.21 1.01 –0.02 0.77 0.22 0.94 1.21
pyridine (7) 0.07 0.48 –0.19 0.65 0.00 0.61 0.91
cyclohexanone (10) 0.31 1.05 0.28 0.96 0.18 0.88 1.28
acetophenone (9) 0.20 0.69 –0.26 0.61 0.06 0.58 0.87
butanone (13) 0.00 0.81 –0.64 0.96 –0.09 0.90 1.16
benzonitrile (PhCN) (7) –0.01 0.56 –0.64 0.77 –0.13 0.82 1.13
o-nitrotoluene (6) 0.01 0.16 –0.14 0.51 –0.06 0.41 0.60
nitroethane (7) 0.03 0.30 –0.37 0.58 –0.07 0.68 0.84
nitrobenzene (15) 0.01 0.22 –0.43 0.62 –0.07 0.54 0.73
acetonitrile (MeCN)              
neutral solutes (7) 0.65 0.69 –0.56 0.74 0.24 0.92 1.21
cations (39) –0.28 2.01 7.65 7.93 –0.53 2.41 4.01
anions (30) 0.25 1.82 –2.63 3.01 0.60 1.60 1.96
all ions (69) –0.18 1.97 3.18 5.79 –0.04 2.06 3.28
nitromethane (MeNO2) (7) 0.06 0.53 –0.46 0.85 –0.01 0.78 0.94
dimethylformamide (DMF) (7) 0.12 0.49 0.07 0.65 0.02 0.67 0.90
dimethylacetamide (DMA) (7) 0.11 0.54 –0.01 0.76 0.03 0.64 0.89
sulfolane (7) 0.12 0.54 1.42 1.48 0.04 0.86 1.04
dimethyl sulfoxide (DMSO)              
neutral solutes (7) 0.12 0.75 0.53 0.88 –1.03 1.62 2.59
cations (4) 0.15 2.25 8.31 8.31 0.30 1.85 2.53
anions (66) –0.14 2.01 –1.69 3.55 –0.39 3.00 3.95
methylformamide (NMF) (7) 0.17 0.85 0.23 0.86 0.07 0.96 1.15
polar aprotic              
neutrals (199) 0.10 0.59 –0.18 0.73 –0.01 0.74 1.07
cations (43) –0.24 2.03 7.71 7.96 –0.46 2.36 3.90
anions (96) –0.02 1.95 –1.99 3.38 –0.08 2.57 3.46
all polar aprotic (338) 0.02 1.16 0.31 2.40 –0.08 1.47 2.45
a

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

b

Calculated using the Gaussian program package.47

c

Data from ref (37) calculated using the Gaussian program package.47