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The potential energy curves for molecular ions up to $N_2^{4+}$ are calculated in an ab initio manner using the multi configurational self-consistent field method. Specifically, we implement in an automatic way a previously used double loop…

Atomic Physics · Physics 2023-07-26 Antonis Hadjipittas , Agapi Emmanouilidou

Exactly solvable rererence potentials of several smoothly joined Morse-type components were constructed for the lowest two excimer states of Ar2 molecule. The parameters of the potentials have been ascertained by fitting to the experimental…

Chemical Physics · Physics 2007-06-21 Matti Selg

We report state-of-the-art ab initio calculations of the potential energy curve for the $a^3\Sigma_u^+$ state of the lithium dimer conducted to achieve spectroscopic accuracy ($<$1cm$^{-1}$) without any prior adjustment to fit the…

Chemical Physics · Physics 2021-01-27 Michał Lesiuk , Monika Musiał , Robert Moszynski

We introduce affordable computational strategies for calculating orbital and pair-orbital energies in atomic and molecular systems. Our methods are based on the pair Coupled Cluster Doubles (pCCD) ansatz and its orbital-optimized variant.…

Chemical Physics · Physics 2025-02-06 Seyedehdelaram Jahani , Somayeh Ahmadkhani , Katharina Boguslawski , Paweł Tecmer

Detailed experimental data for physisorption potential-energy curves of H2 on low-indexed faces of Cu challenge theory. Recently, density-functional theory has been developed to also account for nonlocal correlation effects, including van…

Following the first principles the elements of the analytic theory of potential curves for diatomic molecules (diatomics) are presented. It is based on matching the perturbation theory at small internuclear distances $R$ and multipole…

Atomic Physics · Physics 2022-07-14 Alexander V. Turbiner , Horacio Olivares-Pilón

Energies of a certain class of fullerene molecules (elongated, contracted, and regular icosahedral fullerenes) are numerically calculated using a microscopic description of carbon-carbon bonding. It is shown how these results can be…

Soft Condensed Matter · Physics 2009-11-11 Antonio Siber

We calculate accurate potential energy curves for a ground-state He$^+$ ion interacting with a He atom in the lowest-energy metastable $^3\!S$ electronic state. We employ the full configuration interaction method, equivalent to exact…

Atomic Physics · Physics 2023-11-30 Jacek Gȩbala , Michał Przybytek , Marcin Gronowski , Michał Tomza

A potential energy curve (PEC) accurate to a fraction of 1 ppm ($1:10^6$) is computed for the $^3\Sigma_\mathrm{u}^+$ state of He$_2$ endowed with relativistic and QED corrections. The nuclear Schr\"odinger equation is solved on this PEC…

Chemical Physics · Physics 2026-02-25 Ádám Margócsy , Balázs Rácsai , Péter Jeszenszki , Edit Mátyus

Calculations of the lowest valence {\pi}* as well as the 3s and higher energy 3p{\sigma} Rydberg excited states of the CO2 molecule are carried out using density functionals with variational optimization of the orbitals, an approach…

Chemical Physics · Physics 2026-04-08 Darío Barreiro-Lage , Gianluca Levi , Hannes Jonssón , Thanja Lamberts

This work discusses a protocol for constructing highly accurate potential energy curves (PECs) for the lowest two states of Rb$_{2}^+$, i.e. $X\,{}^2{\Sigma}{_g^+}$ and $(1) {}^2\Sigma{_u^+}$, using an additivity scheme based on…

Atomic Physics · Physics 2022-09-21 Jan Schnabel , Lan Cheng , Andreas Köhn

The electron-detachment energy is measured by its ionization potential (IP). As a result, it is a fundamental observable and important molecular electronic signature in photoelectron spectroscopy. A precise theoretical prediction of…

Chemical Physics · Physics 2023-07-26 Saddem Mamache , Marta Gałyńska , Katharina Boguslawski

The experimentally-observed non-trivial electronic structure of the Cr$_2$ dimer has made the calculation of its potential energy curve a theoretical challenge in the last decades. By matching the perturbation theory at small internuclear…

Chemical Physics · Physics 2024-08-27 Horacio Olivares-Pilón , Daniel Aguilar-Díaz , Alexander V. Turbiner

We perform ab initio QED calculation of the (1s)^2(2s)^22p_{3/2} - (1s)^2(2s)^22p_{1/2} transition energy in the five-electron ion of argon. The calculation is carried out by perturbation theory starting with an effective screening…

Atomic Physics · Physics 2007-10-30 A. N. Artemyev , V. M. Shabaev , I. I. Tupitsyn , G. Plunien , V. A. Yerokhin

Potential energy curves and matrix elements of radial non-adiabatic couplings of 2{\Sigma}+ and 2{\Pi} states of the NeH molecule are calculated using the electronic structure package MOLPRO, in view of the study of the reactive collisions…

Instrumentation and Methods for Astrophysics · Physics 2025-01-31 R. Hassaine , D. Talbi , R. P. Brady , J. Zs. Mezei , J. Tennyson , and Ioan F. Schneider

A weak notion of elastic energy for (not necessarily regular) rectifiable curves in any space dimension is proposed. Our $p$-energy is defined through a relaxation process, where a suitable $p$-rotation of inscribed polygonals is adopted.…

Differential Geometry · Mathematics 2023-01-02 Domenico Mucci , Alberto Saracco

Quantum-mechanical close-coupling calculations for state-to-state cross sections and thermal rates are reported for H2+H2 collisions. Two recently developed potential energy surfaces (PES) for the H2-H2 system are applied, namely, the…

Chemical Physics · Physics 2009-11-11 Renat A. Sultanov , Dennis Guster

Potential energy surfaces of the hydrogen molecular ion H$_2^+$ in the Born-Oppenheimer approximation are computed by means of the Riccati-Pad\'e method (RPM). The convergence properties of the method are analyzed for different states. The…

Chemical Physics · Physics 2022-10-25 Francisco Marcelo Fernández , Javier Garcia

The potential energy surface (PES) of dissociative adsorption of H_2 on Pd(100) is investigated using density functional theory and the full-potential linear augmented plane wave (FP-LAPW) method. Several dissociation pathways are…

mtrl-th · Physics 2009-10-28 Steffen Wilke , Matthias Scheffler

This is a follow-up of our recently proposed work on pseudopotential calculation (Ref. [21]) of atoms and molecules within DFT framework, using cartesian coordinate grid. Detailed results are presented to demonstrate the usefulness,…

Chemical Physics · Physics 2015-05-18 Amlan K. Roy
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