Molecule‐Specific Uncertainty Quantification in Quantum Chemical Studies

M Reiher - Israel Journal of Chemistry, 2022 - Wiley Online Library
Solving the electronic Schrödinger equation for changing nuclear coordinates provides
access to the Born‐Oppenheimer potential energy surface. This surface is the key starting …

The ELF perspective of chemical bonding

Y Grin, A Savin, B Silvi - The Chemical Bond: Fundamental …, 2014 - Wiley Online Library
The electron localization function (ELF) identifies regions of space that can be associated
with electron pairs. It is usually obtained from quantum mechanical calculations, and helps …

The fourth age of quantum chemistry: molecules in motion

AG Csaszar, C Fabri, T Szidarovszky… - Physical Chemistry …, 2012 - pubs.rsc.org
Developments during the last two decades in nuclear motion theory made it possible to
obtain variational solutions to the time-independent, nuclear-motion Schrödinger equation of …

Molecular structure calculations: A unified quantum mechanical description of electrons and nuclei using explicitly correlated Gaussian functions and the global vector …

E Mátyus, M Reiher - The Journal of Chemical Physics, 2012 - pubs.aip.org
We elaborate on the theory for the variational solution of the Schrödinger equation of small
atomic and molecular systems without relying on the Born–Oppenheimer paradigm. The all …

Pre-Born–Oppenheimer molecular structure theory

E Mátyus - Molecular Physics, 2019 - Taylor & Francis
ABSTRACT In pre-Born–Oppenheimer (pre-BO) theory a molecule is considered as a
quantum system as a whole, including the electrons and the atomic nuclei on the same …

Exact quantum dynamics developments for floppy molecular systems and complexes

E Mátyus, AM Santa Daría, G Avila - Chemical Communications, 2023 - pubs.rsc.org
Molecular rotation, vibration, internal rotation, isomerization, tunneling, intermolecular
dynamics of weakly and strongly interacting systems, intra-to-inter-molecular energy …

Determining Factors for the Accuracy of DMRG in Chemistry

SF Keller, M Reiher - arxiv preprint arxiv:1401.5497, 2014 - arxiv.org
The Density Matrix Renormalization Group (DMRG) algorithm has been a rising star for the
accurate ab initio exploration of Born-Oppenheimer potential energy surfaces in theoretical …

Studying chemical reactivity in a virtual environment

MP Haag, M Reiher - Faraday discussions, 2014 - pubs.rsc.org
Chemical reactivity of a set of reactants is determined by its potential (electronic) energy
(hyper) surface. The high dimensionality of this surface renders it difficult to efficiently …

Quantum Definition of Molecular Structure

L Lang, HM Cezar, L Adamowicz… - Journal of the American …, 2024 - ACS Publications
Molecular structure, a key concept of chemistry, has remained elusive from the perspective
of all-particle quantum mechanics, despite many efforts. Viewing molecular structure as a …

Extracting elements of molecular structure from the all-particle wave function

E Mátyus, J Hutter, U Müller-Herold… - The Journal of chemical …, 2011 - pubs.aip.org
Structural information is extracted from the all-particle (non-Born–Oppenheimer) wave
function by calculating radial and angular densities derived from n-particle densities. As a …