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.