We describe a hierarchy of approximations (MP2[x]) that allow one to estimate second-order Møller-Plesset (MP2) energies in a large basis set from small-basis calculations. The most cost-effective approximation, MP2[K], is significantly cheaper than full MP2 but numerical tests on small atoms and molecules indicate that it is nonetheless accurate. We conclude that MP2[K] is an attractive level ...

Attenuated second-order Møller-Plesset perturbation theory (MP2) within the finite aug-cc-pVTZ (aTZ) basis set is developed for inter- and intra-molecular non-bonded interactions. A single attenuation parameter is optimized on the S66 database of 66 intermolecular interactions, leading to a very large RMS error reduction by a factor of greater than 5 relative to standard MP2/aTZ. Attenuation in...

High level correlated quantum chemical calculations, using MP2 and local MP2 theory, have been performed for conformations of the disaccharide, beta-maltose, and the trisaccharide, 3,6-di-O-(alpha-D-mannopyranosyl)-alpha-D-mannopyranose. For beta-maltose, MP2 and local MP2 calculations using the 6-311++G** basis set are in good agreement, predicting a global minimum gas-phase conformation with ...

Several DFT functionals have been carried out to study the first hyperpolarizabilities βHRS of push-pull polyene as a function basis sets, electron correlation, size, frequency dispersion and geometry. These calculations confirm huge effects Møller– Plesset (MP2) results reproduces values hyperpolarizability obtained with reference CCSD(T) level. Among density functional theory exchange- correl...

We propose a simplified variant of the dual-basis MP2[K] scheme [ J. Chem. Phys. 2011, 134, 081103] that bootstraps a small-basis MP2 result to a large-basis one. This simplified method, which we call MP2[V], assumes the occupied orbitals are adequately described by the smaller basis, and, therefore, only the relaxation of the virtual orbitals is considered when shifting to the larger basis. Nu...

Short-Range Correlation Models in Electronic Structure Theory by Matthew Bryant Goldey Doctor of Philosophy in Chemistry University of California, Berkeley Professor Martin Head-Gordon, Chair Correlation methods within electronic structure theory focus on recovering the exact electronelectron interaction from the mean-field reference. For most chemical systems, including dynamic correlation, th...

Moller-Plesset second-order (MP2) perturbation theory breaks down at molecular geometries which are far away from equilibrium. We decompose the MP2 energy into contributions from different orbital subspaces and show that the divergent behavior of the MP2 energy comes from the excitations located within a small (or sometimes even the minimal) active space. The divergent behavior of the MP2 energ...

The performance of a variety of high-level composite procedures, as well as lower-cost density functional theory (DFT)- and second-order perturbation theory (MP2)-based methods, for the prediction of absolute and relative R-X bond dissociation energies (BDEs) was examined for R = Me, Et, i-Pr and t-Bu, and X = H, CH(3), OCH(3), OH and F. The methods considered include the high-level G3(MP2)-RAD...

A simplified approach to treating the electron correlation energy is suggested in which only the alpha-beta component of the second order Møller-Plesset energy is evaluated, and then scaled by an empirical factor which is suggested to be 1.3. This scaled opposite-spin second order energy (SOS-MP2), where MP2 is Møller-Plesset theory, yields results for relative energies and derivative propertie...