Explicitly correlated R12/F12 methods for electronic structure

L Kong, FA Bischoff, EF Valeev - Chemical reviews, 2012 - ACS Publications
Electronic structure methods based on wave functions, or other many-electron quantities
(Greens function, reduced n-particle density matrices), are the most versatile tools in …

Explicitly correlated electrons in molecules

C Hattig, W Klopper, A Kohn, DP Tew - Chemical reviews, 2012 - ACS Publications
One of the central challenges of computational molecular investigation is the solution of the
time-independent, nonrelativistic BornÀ Oppenheimer electronic Schrödinger equation. For …

Deep-neural-network solution of the electronic Schrödinger equation

J Hermann, Z Schätzle, F Noé - Nature Chemistry, 2020 - nature.com
The electronic Schrödinger equation can only be solved analytically for the hydrogen atom,
and the numerically exact full configuration-interaction method is exponentially expensive in …

Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen

TH Dunning Jr - The Journal of chemical physics, 1989 - pubs.aip.org
In the past, basis sets for use in correlated molecular calculations have largely been taken
from single configuration calculations. Recently, Almlöf, Taylor, and co‐workers have found …

Exchange and correlation in atoms, molecules, and solids by the spin-density-functional formalism

O Gunnarsson, BI Lundqvist - Physical Review B, 1976 - APS
The aim of this paper is to advocate the usefulness of the spin-density-functional (SDF)
formalism. The generalization of the Hohenberg-Kohn-Sham scheme to and SDF formalism …

Benchmark calculations with correlated molecular wave functions. IV. The classical barrier height of the H+H2→H2+H reaction

KA Peterson, DE Woon, TH Dunning Jr - The Journal of chemical …, 1994 - pubs.aip.org
Using systematic sequences of correlation consistent Gaussian basis sets from double to
sextuple zeta quality, the classical barrier height of the H+ H2 exchange reaction has been …

Updated and expanded OPAL equation-of-state tables: implications for helioseismology

FJ Rogers, A Nayfonov - The Astrophysical Journal, 2002 - iopscience.iop.org
We are in the process of updating and extending the OPAL equation-of-state (EOS) and
opacity data to include low-mass stars. The EOS part of that effort now is complete, and the …

[KİTAP][B] Monte Carlo Methods In Ab Initio Quantum Chemistry

BL Hammond, WA Lester Jr, PJ Reynolds - 1994 - World Scientific
The following sections are included: Random Numbers and Statistical Analysis Probability
density and distribution functions Characterization of probability density functions Functions …

Fixed‐node quantum Monte Carlo for moleculesa) b)

PJ Reynolds, DM Ceperley, BJ Alder… - The Journal of Chemical …, 1982 - pubs.aip.org
The ground‐state energies of H2, LiH, Li2, and H2O are calculated by a fixed‐node
quantum Monte Carlo method, which is presented in detail. For each molecule, relatively …

Quantum defect theory

MJ Seaton - Molecular Applications of Quantum Defect Theory, 2019 - taylorfrancis.com
Quantum defect theory (qdt) is concerned with the properties of an electron in the field of a
positive ion and, in particular, with expressing those properties in terms of analytical …