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. Author manuscript; available in PMC: 2012 Mar 8.
Published in final edited form as: J Chem Theory Comput. 2011 Mar 8;7(3):658–668. doi: 10.1021/ct100651f

Table 5.

RMSDs, MUEs and Average Errors of all benchmarked DFT methods (in kcal/mol). B3LYP-MM represents results obtained with the correction scheme developed in this work.

Basis Set Counter-
poise
corrected
DFT-Method Whole Interaction Energy
DB (1715 datapointsa)
Conformational Energies
DB (700 data points)
MUEb RMSDc Avgd MUEb RMSDc Avgd
LACVP* no B3LYP-D3 2.11 2.87 −2.10 0.82 1.10 0.02
B3LYP-MM 0.41 0.68 0.04 0.55 0.71 0.05
M06-2X 1.20 1.97 −0.94 0.78 1.04 0.10
B3LYP 2.75 3.66 1.35 1.54 2.03 0.32

yes B3LYP-D3 1.21 1.91 −0.64 nae
B3LYP-MM 0.41 0.65 0.18 0.67f 0.87f 0.03f
M06-2X 1.20 1.97 −0.94 nae
B3LYP 3.53 4.87 2.81

aug-cc-pVDZ no B3LYP-D3 0.95 1.48 −0.72 0.39 0.49 −0.05
B3LYP-MM 0.37 0.53 0.09 0.37 0.47 0.07
M06-2X 0.73 1.17 −0.30 0.61 0.79 −0.02
B3LYP 3.11 4.36 2.73 1.57 2.15 0.25

yes B3LYP-D3 0.87 1.41 −0.56 nae
B3LYP-MM 0.32 0.48 0.11 0.38f 0.49f 0.09f
M06-2X 0.67 1.08 −0.10 nae
B3LYP 3.25 4.57 2.89
a

For the following levels of theory fewer number of cases were included due to SCF convergence problems: B3LYP/aug-cc-pVDZ without counterpoise correction (2 cases missing); M06-2X/LACVP* with explicit counterpoise correction (11 cases missing); M06-2X/aug-cc-pVDZ with explicit counterpoise correction (3 cases missing); M06-2X/aug-cc-pVDZ without counterpoise correction (4 cases missing)

b

Mean Unsigned Error.

c

Root Mean Square Deviation.

d

Average Error.

e

No consistent way to apply counterpoise corrections.

f

B3LYP energies were obtained without counterpoise corrections, however, the MM correction part was parametrized with counterpoise corrected interaction energies.