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 …

Theory and application of explicitly correlated Gaussians

J Mitroy, S Bubin, W Horiuchi, Y Suzuki… - Reviews of modern …, 2013 - APS
The variational method complemented with the use of explicitly correlated Gaussian basis
functions is one of the most powerful approaches currently used for calculating the …

Born–Oppenheimer and non-Born–Oppenheimer, atomic and molecular calculations with explicitly correlated Gaussians

S Bubin, M Pavanello, WC Tung, KL Sharkey… - Chemical …, 2013 - ACS Publications
Since the early work of Hylleraas on the helium atom, 1 it has been common knowledge that,
to accurately account for the interaction between the electrons in an atom or a molecule …

Explicitly correlated wave function for a boron atom

M Puchalski, J Komasa, K Pachucki - Physical Review A, 2015 - APS
We present results of high-precision calculations for a boron atom's properties using wave
functions expanded in the explicitly correlated Gaussian basis. We demonstrate that the well …

Evaluation of the Bethe logarithm: from atom to chemical reaction

D Ferenc, E Mátyus - The Journal of Physical Chemistry A, 2023 - ACS Publications
A general computational scheme for the (nonrelativistic) Bethe logarithm is developed,
opening the route to “routine” evaluation of the leading-order quantum electrodynamics …

Ground and excited states of the beryllium atom

I Hornyák, L Adamowicz, S Bubin - Physical Review A, 2019 - APS
Benchmark calculations of the total and transition energies of the four lowest S 1 states of
the beryllium atom are performed. The computational approach is based on variational …

Direct local sampling method for solving the Schrödinger equation with the free complement-local Schrödinger equation theory

H Nakatsuji, H Nakashima - Chemical Physics Letters, 2022 - Elsevier
In the free complement (FC)-local Schrödinger equation (LSE) theory for solving the
Schrödinger equation, we need an efficient sampling methodology in the LSE step. We …

Isotope shift in a beryllium atom

M Puchalski, K Pachucki, J Komasa - Physical Review A, 2014 - APS
We calculate the isotope shift of 2 1 P 0− 2 1 S 0, 3 1 S 0− 2 1 S 0 transitions and of the 2 1 S
0 ionization potential in the four-electron beryllium atom. The achieved precision is high …

Theoretical study of the and bound states and C ground configuration: Fine and hyperfine structures, isotope shifts, and transition probabilities

T Carette, MR Godefroid - Physical Review A—Atomic, Molecular, and Optical …, 2011 - APS
This work is an ab initio study of the 2 p 3 4 S 3/2 o, and 2 D 3/2, 5/2 o states of C-and 2 p 2 3
P 0, 1, 2, 1 D 2, and 1 S 0 states of neutral carbon. We use the multiconfiguration Hartree …

[HTML][HTML] Benchmark calculations of the energy spectra and oscillator strengths of the beryllium atom

S Nasiri, L Adamowicz, S Bubin - Journal of Physical and Chemical …, 2021 - pubs.aip.org
In this work, we present a series of benchmark variational calculations for the ground and 19
lowest bound excited singlet S and P states of the beryllium atom. The nonrelativistic wave …