This
work systematically assesses the influence of reference orbitals,
regularization, and scaling on the performance of second- and third-order
Møller–Plesset perturbation theory wave function methods
for noncovalent interactions (NCIs). Testing on 19 data sets (A24,
DS14, HB15, HSG, S22, X40, HW30, NC15, S66, AlkBind12, CO2Nitrogen16,
HB49, Ionic43, TA13, XB18, Bauza30, CT20, XB51, and Orel26rad) covers
a wide range of different NCIs including hydrogen bonding, dispersion,
and halogen bonding. Inclusion of potential energy surfaces from different
hydrogen bonds and dispersion-bound complexes gauges accuracy for
nonequilibrium geometries. Fifteen methods are tested. In notation
where nonstandard choices of orbitals are denoted as methods:orbitals,
these are MP2, κ-MP2, SCS-MP2, OOMP2, κ-OOMP2, MP3, MP2.5,
MP3:OOMP2, MP2.5:OOMP2, MP3:κ-OOMP2, MP2.5:κ-OOMP2, κ-MP3:κ-OOMP2,
κ-MP2.5:κ-OOMP2, MP3:ωB97X-V, and MP2.5:ωB97X-V.
Furthermore, we compare these methods to the ωB97M-V and B3LYP-D3
density functionals, as well as CCSD. We find that the κ-regularization
(κ = 1.45 au was used throughout) improves the energetics in
almost all data sets for both MP2 (in 17 out of 19 data sets) and
OOMP2 (16 out of 19). The improvement is significant (e.g., the root-mean-square
deviation (RMSD) for the S66 data set is 0.29 kcal/mol for κ-OOMP2
versus 0.67 kcal/mol for MP2) and for interactions between stable
closed-shell molecules, not strongly dependent on the reference orbitals.
Scaled MP3 (with a factor of 0.5) using κ-OOMP2 reference orbitals
(MP2.5:κ-OOMP2) provides significantly more accurate results
for NCIs across all data sets with noniterative O(N
6) scaling (S66 data set RMSD: 0.10 kcal/mol). Across
the entire data set of 356 points, the improvement over standard MP2.5
is approximately a factor of 2: RMSD for MP3:κ-OOMP2 is 0.25
vs 0.50 kcal/mol for MP2.5. The use of high-quality density functional
reference orbitals (ωB97X-V) also significantly improves the
results of MP2.5 for NCI over a Hartree–Fock orbital reference.
All our assessments and conclusions are based on the use of the medium-sized
aug-cc-pVTZ basis to yield results that are directly compared against
complete basis set limit reference values.