❚❤❡ P❛r❛♠❡t❡r✐③❛t✐♦♥ ❛♥❞ ❱❛❧✐❞❛t✐♦♥ ♦❢ ●❡♥❡r❛❧✐③❡❞ ❇♦r♥ ▼♦❞✲
❡❧s ✉s✐♥❣ t❤❡ P❛✐r✇✐s❡ ❉❡s❝r❡❡♥✐♥❣ ❆♣♣r♦①✐♠❛t✐♦♥
Julien Michel, Jonathan W. Essex
School of Chemistry, University of Southampton, Highfield, Southampton, SO17 1BJ, UK
Richard D. Taylor
Astex Technology Ltd, 436 Cambridge Science Park, Milton Road Cambridge, CB4 0QA, UK
Supplementary Information
1
I : Experimental and Predicted Free energies of hydration for the four
different GBSA models
Energies are in kcal.mol
−1.
Table 1: Dataset - Training I
Compound Exp PDAnum-1 PDAnum-2 PDAexp-1 PDAexp-2 Linear Alkanes
ethane 1.80 1.39 1.39 1.57 1.57
propane 2.00 1.60 1.60 1.79 1.78
butane 2.20 1.82 1.82 2.01 2.00
hexane 2.50 2.28 2.28 2.47 2.45
heptane 2.60 2.51 2.28 2.71 2.68
octane 2.90 2.74 2.74 2.94 2.91
Branched Alkanes
2-methylpentane 2.50 2.15 2.15 2.36 2.35
2,4-dimethylpentane 2.90 2.37 2.37 2.49 2.47
neopentane 2.50 1.94 1.94 2.06 2.04
Cycloalkanes
cyclopropane 0.80 1.12 1.12 1.26 1.24
cyclohexane 1.20 2.00 2.00 2.06 2.05
methyl-cyclohexane 1.70 2.22 2.22 2.26 2.24 cis-1,2-dimethylcyclohexane 1.60 2.36 2.36 2.35 2.33
Alkenes
2-methylpropene 1.20 1.03 1.03 1.11 1.09
1-butene 1.40 1.03 1.03 1.19 1.17
cyclopentene 0.60 0.88 0.88 0.80 0.79
(E)2-pentene 1.30 1.45 1.45 1.51 1.47
1-pentene 1.70 1.28 1.28 1.41 1.38
trans-1,3-butadiene 0.60 0.03 0.03 0.21 0.19 Alkynes
propyne -0.30 -0.19 -0.19 0.07 0.07
1-butyne -0.20 0.22 0.22 0.46 0.46
Table 2: Dataset - Training II
Compound Exp PDAnum-1 PDAnum-2 PDAexp-1 PDAexp-2 Arenes
anthracene -4.20 -3.04 -3.04 -4.14 -3.97
benzene -0.90 -1.30 -1.30 -1.61 -1.56
ethylbenzene -0.80 -0.46 -0.46 -0.94 -0.90 o-xylene -0.90 -0.40 -0.40 -0.94 -0.90 m-xylene -0.80 -0.27 -0.27 -0.79 -0.76 toluene -0.90 -0.78 -0.78 -1.20 -1.16 Alcohols
2-butanol -4.50 -4.50 -4.50 -3.77 -4.47 3-pentanol -4.30 -3.78 -3.78 -3.24 -3.96 4-methylphenol -6.10 -7.27 -7.27 -6.33 -6.08 ethanol -5.00 -6.48 -6.48 -5.11 -5.69 1-octanol -4.10 -4.76 -4.76 -3.45 -4.03
phenol -6.60 -7.82 -7.82 -6.76 -6.49
t-butanol -4.50 -4.94 -4.94 -4.28 -4.97 Aldehydes
benzaldehyde -4.00 -5.07 -5.07 -5.78 -5.38 butanal -3.20 -3.48 -3.48 -3.70 -3.44 ethanal -3.50 -4.48 -4.48 -4.60 -4.27 propanal -3.40 -3.76 -3.76 -3.98 -3.71
Ketones
2-butanone -3.60 -2.51 -2.51 -3.32 -3.25 2-hexanone -3.30 -1.87 -1.87 -2.68 -2.61 3,3-dimethylbutanone -2.90 -1.87 -1.87 -2.79 -2.88 3-pentanone -3.40 -1.74 -1.74 -2.66 -2.65 acetone -3.90 -3.30 -3.30 -3.97 -3.84 cyclopentanone -4.50 -2.54 -2.54 -3.15 -3.12 Carboxylic Acids
acetic acid -6.70 -7.72 -7.72 -5.69 -4.46 propanoic acid -6.50 -6.79 -6.79 -5.03 -4.05 butanoic acid -6.40 -6.36 -6.36 -4.62 -3.66 pentanoic acid -7.00 -6.09 -6.10 -4.36 -3.40
Esters
butylacetate -2.55 -2.97 -2.97 -3.12 -2.65 ethylacetate -3.10 -3.65 -3.65 -3.79 -3.30 methylacetate -3.30 -4.36 -4.36 -4.23 -3.63 methylbenzoate -2.20 -4.46 -4.46 -4.88 -4.52 methylpentanoate -2.60 -2.87 -2.87 -2.95 -2.54 propylacetate -2.90 -3.23 -3.23 -3.39 -2.92
Ethers
Table 3: Dataset - Training III
Compound Exp PDAnum-1 PDAnum-2 PDAexp-1 PDAexp-2 Aliphatic amines
ammonia -4.30 -10.42 -10.42 -6.01 -6.04 azetidine -5.60 -3.57 -3.57 -4.00 -4.08 diethylamine -4.10 -1.35 -1.35 -2.40 -2.55 dimethylamine -4.30 -3.36 -3.36 -3.85 -4.03 dipropylamine -3.70 -0.59 -0.59 -1.65 -1.80 nbutylamine -4.30 -4.09 -4.09 -2.99 -3.08 npropylamine -4.40 -4.35 -4.35 -3.23 -3.32 piperazine -7.40 -6.21 -6.21 -7.37 -7.12 pyrrolidine -5.50 -2.26 -2.26 -3.15 -3.21 trimethylamine -3.20 -1.34 -1.34 -3.54 -3.75 Aromatic amines
2,4-dimethylpyridine -4.90 -3.99 -3.99 -4.27 -4.08 2,6-dimethylpyridine -4.60 -3.71 -3.71 -4.00 -3.83 2-ethylpyrazine -5.50 -7.94 -7.94 -7.24 -6.68 2-methylpyrazine -5.60 -8.66 -8.66 -7.81 -7.25 4-methylpyridine -4.90 -4.68 -4.68 -4.79 -4.61 pyridine -4.70 -5.14 -5.14 -5.16 -4.98
Nitriles
acetonitrile -3.90 -5.80 -5.80 -4.64 -4.57 benzonitrile -4.10 -5.36 -5.36 -4.52 -4.39 propionitrile -3.90 -4.68 -4.68 -3.56 -3.48
Amides
acetamide -9.70 -8.64 -8.64 -8.58 -7.96 N-methylacetamide -10.10 -6.86 -6.86 -7.40 -7.03 propionamide -9.40 -7.43 -7.43 -7.64 -7.14
Sulfurs
benzenethiol -2.55 -2.58 -2.58 -2.43 -2.35 diethylsulfide -1.30 -0.18 -0.18 -0.11 -0.14 dimethyldisulfide -1.80 -1.90 -1.90 -1.33 -1.32 ethanethiol -1.30 -1.67 -1.67 -1.26 -1.26 methanethiol -1.20 -2.13 -2.13 -1.63 -1.63 thioanisole -2.70 -1.87 -1.87 -1.92 -1.86 Multifunctionals
1-methylthymine -10.40 -11.73 -11.73 -11.12 -10.30 2-methoxyethanol -6.80 -8.85 -8.85 -7.31 -7.69 4-amino-3,5,6-trichloro -12.00 -14.45 -14.18 -9.19 -7.95
-2-carboxy-pyridine
Table 4: Dataset - Training IV
Compound Exp PDAnum-1 PDAnum-2 PDAexp-1 PDAexp-2 Halides
trifluoroethanol -4.30 -8.57 -8.57 -4.86 -3.68 1,1-difluoroethane -0.10 -1.71 -1.71 -1.01 -0.91 1-bromobutane -0.40 0.25 0.25 0.53 0.54 1-chlorobutane -0.10 -0.01 -0.01 0.26 0.27 1-iodopentane -0.10 -0.64 -0.64 -0.22 -0.20 2-bromopropane -0.50 -0.11 -0.11 0.13 0.14 2-chloropropane -0.25 -0.36 -0.36 -0.13 -0.13
bromoethane -0.70 -0.38 -0.38 -0.13 -0.12 chlorobenzne -1.10 -1.30 -1.30 -1.23 -1.14 fluorobenzene -0.80 -0.91 -0.91 -0.82 -0.74 fluoroform -0.80 -4.12 -4.12 -1.52 -1.11 hexafluoropropane 3.90 0.06 0.06 4.33 4.67
iodobenzene -1.70 -1.40 -1.40 -1.21 -1.12 iodoethane -0.70 -1.58 -1.58 -1.19 -1.16 methyliodide -0.90 -2.17 -2.17 -1.67 -1.64 o-chlorotoluene -1.15 -0.90 -0.90 -0.90 -0.82 p-bromotoluene -1.40 -0.85 -0.85 -0.81 -0.71 p-dichlorobenzene -1.00 -1.21 -1.21 -0.89 -0.78 trichloromethane -1.10 -1.87 -1.87 -0.91 -0.72
Nitro
1-nitrobutane -3.10 -1.60 -1.77 -1.08 -0.85 1-nitropropane -3.30 -1.90 -2.06 -1.39 -1.16 2-methyl-1-nitrobenzene -3.60 -2.64 -2.80 -2.55 -2.41 nitroethane -3.70 -2.35 -2.52 -1.85 -1.59 Charged oxygen
acetate -80.0 -79.42 -82.33 -80.54 -81.02 propionate -79.0 -76.86 -79.73 -78.78 -79.47 Charged Nitrogen
ammonium -86.0 -87.89 -88.45 -87.20 -86.06 anilinium -66.0 -63.57 -63.38 -63.20 -63.43 pyridinium -59.0 -57.18 -57.18 -56.57 -55.66 methylammonium -71.0 -74.81 -74.77 -74.50 -74.24 nbutylammonium -66.0 -65.58 -65.67 -65.58 -65.06 N,N-dimethylanilinium -52.0 -50.98 -50.55 -51.51 -52.17 piperidinium -60.0 -56.34 -56.11 -56.27 -56.33 tbutylammonium -63.0 -61.58 -61.84 -61.84 -61.02 trimethylammonium -57.0 -59.02 -58.54 -59.14 -59.77
Charged Sulfur
Table 5: Dataset - Validation I
Compound Exp PDAnum-1 PDAnum-2 PDAexp-1 PDAexp-2 Linear Alkanes
methane 2.00 1.15 1.15 1.30 1.30
pentane 2.30 2.05 2.05 2.24 2.23
Branched Alkanes
isobutane 2.30 1.78 1.78 1.95 1.94
Cycloalkanes
cyclopentane 1.20 1.78 1.78 1.88 1.87
Alkenes
ethylene 1.30 0.33 0.33 0.62 0.61
1-propene 1.30 0.71 0.71 0.89 0.87
Alkynes
1-pentyne 0.00 0.53 0.53 0.77 0.77
Arenes
naphtalene -2.40 -2.27 -2.27 -3.00 -2.89 phenanthrene -3.95 -3.07 -3.07 -4.14 -3.98
Alcohols
methanol -5.10 -7.55 -7.55 -5.79 -6.33 nbutanol -4.70 -5.74 -5.74 -4.42 -5.00 npropanol -4.80 -6.01 -6.01 -4.68 -5.26 Aldehydes
octanal -2.30 -2.29 -2.29 -2.49 -2.25
pentanal -3.00 -3.22 -3.22 -3.44 -3.18 Ketones
4-heptanone -2.90 -1.01 -1.01 -1.93 -1.92 acetophenone -4.60 -4.20 -4.20 -5.39 -5.20 Carboxylic Acids
hexanoic acid -6.20 -5.83 -5.83 -4.10 -3.14 Esters
methylbutanoate -2.80 -3.16 -3.16 -3.25 -2.83 methylpropanoate -2.90 -3.56 -3.56 -3.64 -3.20
Ethers
dimethylether -1.90 -2.94 -2.94 -2.77 -3.24 methylpropylether -1.70 -1.79 -1.79 -1.85 -2.35
Aliphatic amines
ethylamine -4.50 -4.76 -4.76 -3.57 -3.66 methylamine -4.60 -6.26 -6.26 -4.66 -4.78 piperidine -5.10 -1.53 -1.53 -2.67 -2.72 Aromatic amines
2-methylpyridine -4.80 -4.44 -4.44 -4.64 -4.44
aniline -4.90 -5.63 -4.73 -5.03 -8.47
Nitriles
butanonitrile -3.60 -4.41 -4.41 -3.28 -3.20 Amides
N,N-dimethylacetamide -8.50 -5.03 -5.03 -5.92 -5.90 Sulfurs
Table 6: Dataset - Validation II
Compound Exp PDAnum-1 PDAnum-2 PDAexp-1 PDAexp-2 Multifunctionals
butenyne 0.00 -1.16 -1.16 -0.89 -0.87
m-hydroxybenzaldehyde -9.50 -10.87 -10.87 -10.14 -9.33 p-bromophenol -7.10 -7.63 -7.63 -6.20 -5.75
Halides
2-iodopropane -0.50 -1.10 -1.10 -0.78 -0.77 bromobenzene -1.50 -1.34 -1.34 -1.22 -1.12 chloroethane -0.60 -0.66 -0.66 -0.40 -0.39 chlorofluoromethane -0.80 -2.91 -2.91 -1.77 -1.62 dibromomethane -2.10 -1.29 -1.29 -0.74 -0.65 fluoromethane -0.20 -1.06 -1.06 -0.66 -0.65 tetrafluoromethane 3.20 -1.53 -1.53 1.022 1.33
Nitro
2-nitropropane -3.10 -1.82 -1.99 -1.46 -1.36 nitrobenzene -4.10 -3.17 -3.33 -2.90 -2.65 Charged Oxygen
benzoate -76.0 -71.47 -74.08 -74.11 -74.52 Charged Nitrogen
dimethylammonium -64.0 -65.52 -65.16 -65.46 -65.77 npropylammonium -67.0 -66.82 -66.92 -66.85 -66.34 tetramethylammonium -52.0 -54.64 -54.15 -54.91 -55.71
Charged sulfur
2
II : Potentials of Mean Force of systems reported in table 8 and 9 of the
main article
3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9
C-C distance / Å
-1 -0.75 -0.5 -0.25 0 0.25 0.5 0.75 1
Free energy / kcal.mol
-1
Vacuum PDAnum-1 PDAexp-2 PDAexp-1
Figure 1: Potential of mean force Methane-Methane
4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5
center-center distance / Å
-2 -1.5 -1 -0.5 0 0.5 1 1.5 2
Free energy / kcal.mol
-1
Vacuum PDAnum-1 PDAexp-2 PDAexp-1
5 6 7 8 9
Free energy / kcal.mol
-1
PDAnum-1 PDAnum-2 PDAexp-1 PDAexp-2
Figure 3: Potential of mean force Arg+ Arg+, planar
3 4 5 6 7 8 9 10
Free energy / kcal.mol
-1
PDAnum-1 PDAnum-2 PDAexp-1 PDAexp-2
Figure 4: Potential of mean force Arg+ Arg+, stacked
4 5 6 7 8 9
Free energy / kcal.mol
-1
PDAnum-1 PDAexp-1 PDAexp-2
4 5 6 7 8 9
Free energy / kcal.mol
-1
PDAnum-1 PDAnum-2 PDAexp-1 PDAexp-2
Figure 6: Potential of mean force Glu- Glu-, planar
3 4 5 6 7
Free energy / kcal.mol
-1
PDAnum-1 PDAnum-2 PDAexp-1 PDAexp-2
Figure 7: Potential of mean force HisD Glu-, planar
3 4 5 6 7
Free energy / kcal.mol
-1
PDAnum-1 PDAexp-1 PDAexp-2
3 4 5 6 7
Free energy / kcal.mol
-1
PDAnum-1 PDAnum-2 PDAexp-1 PDAexp-2
Figure 9: Potential of mean force HisP Glu-, planar
3 4 5 6 7
Free energy / kcal.mol
-1
PDAnum-1 PDAexp-1 PDAexp-2
Figure 10: Potential of mean force HisP HisE, planar
4 5 6 7 8 9
Free energy / kcal.mol
-1
PDAnum-1 PDAexp-1 PDAexp-2
3 4 5 6 7 8
center-center distance / Å
-3 -2 -1 0 1 2
Free energy / kcal.mol
-1
PDAnum-1 PDAexp-1 PDAexp-2
Figure 12: Potential of mean force HisP HisP, stacked
3 4 5 6 7
N-C distance / Å
-4 -3 -2 -1 0 1 2
Free energy / kcal.mol
-1
PDAnum-1 PDAnum-2 PDAexp-1 PDAexp-2