Table 1.
Functional | Type | c | Exchange functional | Correlation functional | DC class | Description | Selected basis sets in study | Refs |
---|---|---|---|---|---|---|---|---|
PBE | LDA | Not used in studies reviewed | ||||||
GGA | 0 | PBE | PBE | None | Used to study inactivation mechanism Good at predicting solid-state properties Inaccurate in determining atomization energies and reaction barriers for molecular reactions. |
Not mentioned | 35., 36., 41. | |
Meta-GGA | Not used in studies reviewed | |||||||
B3LYP | Hybrid GGA | 20 | B88 | Lee-Yang-Parr (LYP) | None | Widely used for many different types of ligand because of its relatively high accuracy and low cost; B3LYP is more suitable for main-group elements than for transition metals | 6-31G, 6-31G* 6-311G(d,p) 6-311G* LANL2DZ def2-SVP |
14., 15., 18., 20., 25., 32., 33., 37., 42. |
B3PW91 | 20 | B88 | Perdew-Wang91 | None | B3PW91 is similar to B3LYP; performs better for systems with uniform density | 6-311++G** | 36., 43. | |
PBE0 | 25 | PBE | PBE | None | PBE0 is PBE functional with a 25% HF exchange functional; used to study inactivation mechanisms through covalent binding | 6-31G* 6-311++G** |
43., 44 | |
PBE0-D3 | 25 | PBE | PBE | III | PBE0-D3 is PBE0 with semiclassical correction on dispersion; describes thermochemistry better with low numerical complexity; dispersion correction does not affect density expression of system; used to study enzyme–substrate complex dynamical properties | 6-31G** | 39., 45. | |
M06-2X | Hybrid meta-GGA | 54 | M06-2X | M06-2X | II | Performs well in determining main-group thermochemical properties, noncovalent interactions, and barrier heights; however, not suitable for transition metal chemistry | 6-311(d,p) | 29, 37. |
ωB97X-D | RSH GGA | 22, 100d | Becke97 | Becke97 | III | Performs well for bonded interactions and barrier heights | def2-TZVP 6-31+G(d,p) |
21., 36., 43. |
The types of XC functional are sorted by their levels of accuracy and computational complexity from low (top rows) to high (bottom rows). Some information is from35., 36., 37., 39., 46..
Abbreviations: DC Class, Dispersion-Correction Class (defined in39GGA, generalized gradient approximation; GH, global hybrid; RSH, range-separation hybrid.
: magnitude of the percentage of HF exchange functional in the total exchange functional part.
20 for short range exchange functional and 100 for long range exchange functional.