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. Author manuscript; available in PMC: 2020 Dec 9.
Published in final edited form as: J Org Chem. 2015 Sep 25;80(20):9900–9909. doi: 10.1021/acs.joc.5b01370

Table 1.

Calculated Relative Stabilitiesa (in kcal/mol) for the Tautomers of Warfarin in Gas and Aqueous Phase (PCM Solvation Model) at Different Computational Levels of Theory, with Population Percentages and Frontier Orbital Energy Differences Given

Gas phase
Aqueous phase
Tautomer Form DFTb DFTb DFT-Dc Boltzmann ratiod,e HOMOe LUMOe AE
T0S chain 7.17 6.07 7.2 0.003 −6.67 −1.81 4.86
T1S_R chain 7.33 7.83 5.46 0 −7.09 −2.59 4.5
T1S_S chain 7.03 7.48 5.29 0 −7.1 −2.6 4.5
T2S_E chain 22.52 20.59 22.46 0 −6.55 −1.83 4.73
T2S_Z chain 16.72 19.41 21.14 0 −6.64 −1.86 4.78
T3S chain 24.87 23.29 23.93 0 −6.59 −1.85 4.74
T4S chain 0 2.6 2.86 1.022 −6.7 −2.05 4.65
T5S_RE chain 20.38 18.11 18.08 0 −6.52 −2.55 3.97
T5S_RZ chain 20.15 16.54 17.21 0 −6.4 −2.49 3.9
T5S_SE chain 19.96 18.27 18.12 0 −6.54 −2.52 4.02
T5S_SZ chain 19.58 16.6 17.22 0 −6.37 −2.49 3.88
T6S_R chain 21.7 19.29 18.73 0 −6.65 −2.54 4.11
T6S_S chain 22.12 20.73 19.89 0 −6.63 −2.55 4.09
T7S_E chain 15.03 12.96 14.7 0 −6.52 −1.96 4.56
T7S_Z chain 10.14 11.87 13.46 0 −6.61 −2.01 4.6
T8S chain 17.38 15.56 16.07 0 −6.61 −2.02 4.59
T9S_R ring 9.42 8.07 8.35 0 −6.8 −1.85 4.95
T9S_S ring 10 9.01 10.19 0 −6.73 −1.85 4.87
T10S_R ring 1.59 0 0 82.817 −6.74 −1.97 4.76
T10S_S ring 2.1 0.97 1.89 16.158 −6.71 −1.99 4.71
a

The Gibbs free energy of the most stable tautomer is taken as the reference (0.0 kcal/mol); this is tautomer T4S for the gas phase and T10S_R for the aqueous phase.

b

DFT calculations performed using B3LYP/6-311++G(d,p).

c

DFT-D calculations performed using empirical dispersion method D3 added to the DFT computation as in [b].

d

Calculated according to the Boltzmann equation at T = 298.15 K.

e

Calculated based on DFT calculations in the aqueous phase.