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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 7.

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

Basis Set Counter-
poise
corrected
DFT-Method Hydrogen Bonded
Complexes (not charged)
(137 data points)
Complexes With Ionic
Interactions
(542 datapointsd)
MUEa RMSDb Avgc MUEa RMSDb Avgc
LACVP* no B3LYP-D3 3.42 3.71 −3.42 3.58 4.36 −3.57
B3LYP-MM 0.75 0.94 0.31 0.56 0.95 0.15
M06-2X 1.85 2.16 −1.81 2.08 3.07 −2.03
B3LYP 2.13 2.76 0.14 2.14 2.93 −1.76

yes B3LYP-D3 0.82 1.00 −0.51 2.57 3.18 −2.53
B3LYP-MM 0.55 0.91 0.34 0.52 0.84 0.10
M06-2X 0.85 1.01 0.53 1.35 2.11 −1.16
B3LYP 3.13 4.21 3.04 1.53 2.13 −0.71

aug-cc-pVDZ no B3LYP-D3 0.64 0.77 −0.45 2.14 2.51 −2.12
B3LYP-MM 0.37 0.54 0.10 0.38 0.58 0.00
M06-2X 0.61 0.76 0.25 1.13 1.78 −1.05
B3LYP 3.10 4.05 3.10 0.91 1.47 −0.31

yes B3LYP-D3 0.44 0.56 −0.25 2.05 2.41 −2.04
B3LYP-MM 0.36 0.51 0.24 0.41 0.64 0.02
M06-2X 0.63 0.78 0.52 1.09 1.67 −1.05
B3LYP 3.31 4.20 3.31 0.90 1.44 −0.23
a

Mean Unsigned Error.

b

Root Mean Square Deviation.

c

Average Error.

d

For the following levels of theory fewer number of cases were included due to SCF convergence problems: M06-2X/LACVP* with explicit counterpoise correction (11 cases missing); M06-2X/aug-cc-pVDZ with explicit counterpoise correction (3 cases missing).