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. Author manuscript; available in PMC: 2023 Jul 12.
Published in final edited form as: J Chem Theory Comput. 2022 Jun 16;18(7):4304–4317. doi: 10.1021/acs.jctc.2c00151

Table 3:

Comparison of DFTB2+ML KIE values computed from path integral simulations to those computed from Bigeleisen’s equation. The columns N, σ, “Min.”, and “Max.” are the number of KIE values, the standard deviation of the KIE distribution, and minimum and maximum KIE values, respectively.

System Atom TD-FEP Bigeleisen
KIE KIE N σ Min. Max.

Native O2′ 0.989 ± 0.001 0.991 ± 0.001 26 0.005 0.980 0.998
O5′ 1.024 ± 0.000 1.038 ± 0.002 26 0.008 1.023 1.051
OP1 1.003 ± 0.000 1.004 ± 0.001 26 0.003 1.000 1.016
OP2 1.002 ± 0.001 1.003 ± 0.000 26 0.002 0.999 1.007
S12 O2′ 0.993 ± 0.001 0.996 ± 0.001 19 0.005 0.989 1.010
O5′ 1.013 ± 0.000 1.024 ± 0.002 19 0.009 1.004 1.035
SP1 1.000 ± 0.000 1.001 ± 0.000 19 0.001 1.000 1.003
SP2 1.000 ± 0.000 1.001 ± 0.000 19 0.001 0.998 1.003
S1P O2′ 0.990 ± 0.000 0.993 ± 0.001 62 0.005 0.983 1.005
O5′ 1.018 ± 0.000 1.032 ± 0.001 62 0.009 1.010 1.051
SP1 1.000 ± 0.000 1.002 ± 0.000 62 0.002 0.994 1.007
OP2 1.003 ± 0.000 1.003 ± 0.000 62 0.003 0.996 1.012
S2′ S2′ 0.997 ± 0.000 1.001 ± 0.001 30 0.007 0.996 1.028
O5′ 1.021 ± 0.000 1.032 ± 0.002 30 0.014 0.993 1.054
OP1 1.003 ± 0.000 1.008 ± 0.001 30 0.007 0.992 1.032
OP2 1.002 ± 0.001 1.008 ± 0.002 30 0.010 0.995 1.051
S3′ O2′ 0.988 ± 0.001 0.994 ± 0.001 19 0.005 0.986 1.005
O5′ 1.021 ± 0.001 1.037 ± 0.002 19 0.010 1.016 1.050
OP1 1.002 ± 0.001 1.003 ± 0.001 19 0.004 0.997 1.010
OP2 0.998 ± 0.000 1.001 ± 0.001 19 0.004 0.994 1.013
S5′ O2′ 1.008 ± 0.001 1.026 ± 0.001 111 0.012 0.988 1.051
S5′ 1.000 ± 0.000 1.003 ± 0.000 111 0.002 0.998 1.024
OP1 1.002 ± 0.001 1.004 ± 0.000 111 0.004 0.995 1.015
OP2 1.002 ± 0.000 1.002 ± 0.000 111 0.003 0.993 1.009