Skip to main content
. Author manuscript; available in PMC: 2008 Nov 10.
Published in final edited form as: J Chem Theory Comput. 2007;3(2):407–433. doi: 10.1021/ct600185a

Table 8.

Performance of the “top fifteen” functionals along with the aug-cc-pVDZ basis set.

HOF IP EA H-bond Freq Length Angle Conf E SRBH LSBH
B98 18.38 4.90 3.42 0.40 73.9 0.0114 1.24 9.85 4.98 4.68
B1B95 14.13 4.53 4.54 1.13 88.3 0.0093 1.20 8.06 3.72 4.67
TPSS1KCIS 8.35 5.30 4.64 0.55 68.5 0.0109 1.21 11.70 5.48 5.58
PBE1PBE 8.82 5.27 4.66 0.56 86.5 0.0104 1.17 10.71 5.17 5.92
B3LYP 18.66 5.28 3.78 0.63 70.5 0.0111 1.22 12.34 5.37 4.12
PBE1KCIS 11.63 4.84 3.79 0.37 82.2 0.0109 1.54 11.84 6.37 4.71
TPSSTPSS 8.72 5.53 4.49 0.57 50.9 0.0159 1.23 8.99 8.61 8.02
TPSSKCIS 8.31 5.96 4.13 0.55 52.1 0.0157 1.25 9.58 7.51 7.64
B3PW91 12.02 5.42 4.08 1.09 77.6 0.0104 1.15 11.80 4.96 5.52
MPWPW91 8.58 5.36 4.03 0.69 51.1 0.0177 1.27 11.17 8.85 8.77
MPWPBE 8.91 5.27 3.89 0.72 50.9 0.0180 1.27 11.29 8.92 8.85
MPW1KCIS 12.57 4.78 3.58 0.76 70.9 0.0121 1.58 12.64 7.00 5.92
BB95 9.94 5.00 3.85 1.58 52.6 0.0179 1.31 8.98 8.62 8.50
B1LYP 34.07 5.93 4.63 0.68 77.6 0.0092 1.20 12.61 4.15 3.19
BB1K 2.129 6.50 5.94 0.93 119.3 0.0107 1.23 8.31 1.69 4.54
Lowest Err. PW91LYP B1B95 B98 PBEKCIS G96LYP B1LYP cSVWN5 B1B95 BB1K B1LYP
Value 8.24 4.53 3.43 0.32 48 0.009 1.25 8.1 1.69 3.19
Highest Err. SPL cSVWN5 B3P86 cSVWN5 BB1K BLYP BLYP VSXC SPL SPL
Value 128.62 19.06 13.99 10.26 119 0.029 1.6 51.5 18.2 12.54
Avg. Error 16.23 5.77 4.77 1.00 62.2 0.016 1.30 12.33 7.84 7.15

Notes: Errors given in the following units: bond length (Å), bond angle (degrees), frequency (cm−1), ionization potential (kcal/mol), electron affinity (kcal/mol), heat of formation (kcal/mol), hydrogen-bond interaction energy (kcal/mol), conformational energy (percent error), reaction barrier height (kcal/mol). Average errors include none 37 density functionals considered in this work.