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We present a unified variational treatment of the magnetic dipole matrix elements, Einstein coefficients and line strength for general open-shell diatomic molecules in the general purpose diatomic code Duo. Building on previous work in…

Atmospheric and Oceanic Physics · Physics 2025-04-08 Wilfrid Somogyi , Sergey N. Yurchenko , Gap-Sue Kim

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

A new line list for AlH is produced. The WYLLoT line list spans two electronic states $X\,{}^1\Sigma^+$ and $A\,{}^1\Pi$. A diabatic model is used to model the shallow potential energy curve of the $A\,{}^1\Pi$ state, which has a strong…

Solar and Stellar Astrophysics · Physics 2018-08-21 Sergei N. Yurchenko , Henry Williams , Paul C. Leyland , Lorenzo Lodi , Jonathan Tennyson

A new phosphorous mononitride (${}^{31}$P${}^{14}$N, ${}^{31}$P${}^{15}$N) line list PaiN covering infrared, visible and ultraviolet regions is presented. The PaiN line list extending to the $A\,{}^{1}\Pi$ -- $X\,{}^{1}\Sigma^{+}$ vibronic…

Earth and Planetary Astrophysics · Physics 2024-10-25 Mikhail Semenov , Nayla El-Kork , Sergei N. Yurchenko , Jonathan Tennyson

An analytical representation for the potential energy curve for the ground state $X^1\Sigma^+$ of the hydrogen fluoride molecule (HF) is presented in the frame of the Born-Oppenheimer approximation. The analytical expression for the…

Chemical Physics · Physics 2021-10-29 Laura E. Angeles Gantes , Horacio Olivares-Pilón

The absorption spectrum of CO$_2$ in the wavelength range 120\,nm --- 160\,nm is analyzed by means of quantum mechanical calculations performed using vibronically coupled PESs of five singlet valence electronic states and the coordinate…

Chemical Physics · Physics 2015-06-15 Sergy Yu. Grebenshchikov

In the construction of diabatic vibronic Hamiltonians for quantum dynamics in the excited-state manifold of molecules, the coupling constants are often extracted solely from information on the excited-state energies. Here, a new protocol is…

Chemical Physics · Physics 2018-04-02 Maria Fumanal , Felix Plasser , Sebastian Mai , Chantal Daniel , Etienne Gindensperger

Analytic consideration of the Bohr-Oppenheimer (BO) approximation for diatomic molecules is proposed: accurate analytic interpolation for potential curve consistent with its rovibrational spectra is found. It is shown that in the…

Atomic Physics · Physics 2019-08-07 Horacio Olivares-Pilón , Alexander V. Turbiner

Analytical formulas for the excitation energies as well as for the electric quadrupole reduced transition probabilities in the ground, beta and gamma bands were derived within the coherent state model for the near vibrational and well…

Nuclear Theory · Physics 2015-05-30 A. A. Raduta , R. Budaca , Amand Faessler

Comprehensive and accurate rovibronic line lists for the X $^{1}\Sigma^{+}$ and A $^{1}\Pi$ states of $^{12}$C$^{1}$H$^{+}$ and $^{13}$C$^{1}$H$^{+}$ which should be applicable up to temperatures of 5000 K are presented. Available empirical…

Solar and Stellar Astrophysics · Physics 2023-08-09 Oliver Pearce , Sergei N. Yurchenko , Jonathan Tennyson

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

The carbon dimer, the $^{12}$C$_2$ molecule, is ubiquitous in astronomical environments. Experimental-quality rovibronic energy levels are reported for $^{12}$C$_2$, based on rovibronic transitions measured for and among its singlet,…

We combined high-resolution Fourier-transform spectroscopy and large-scale electronic structure calculation to study energy and radiative properties of the high-lying (3)1{\Pi} and (5)1{\Sigma}+ states of the RbCs molecule. The…

Atomic Physics · Physics 2019-05-22 K. Alps , A. Kruzins , O. Nikolayeva , M. Tamanis , R. Ferber , E. A. Pazyuk , A. V. Stolyarov

Combining first-principles calculations with a technique for many-body problems, we investigate properties of the transition metal oxide ${\rm Sr_{2}VO_{4}}$ from the microscopic point of view. By using the local density approximation…

Strongly Correlated Electrons · Physics 2007-05-23 Yoshiki Imai , Masatoshi Imada

Multi-reference configuration interaction (MRCI) potential energy curves (PECs) and spin-orbit couplings for the X $^2\Pi$, A $^2 \Sigma^+$, 1 $^2 \Sigma^-$, 1 $^4 \Sigma^-$, and 1 $^4 \Pi$ states of OH are computed and refined against…

Chemical Physics · Physics 2024-04-23 Georgi B. Mitev , Jonathan Tennyson , Sergey N. Yurchenko

Accurate line lists for three molecules, BeH, MgH and CaH, in their ground electronic states are presented. These line lists are suitable for temperatures relevant to exoplanetary atmospheres and cool stars (up to 2000K). A combination of…

Solar and Stellar Astrophysics · Physics 2012-08-22 Benjamin Yadin , Thomas Veness , Pierandrea Conti , Christian Hill , Sergei N. Yurchenko , Jonathan Tennyson

A variational approach is developed for bound state calculations in three- and four-electron atomic systems. This approach can be applied to determine, in principle, an arbitrary bound state in three- and four-electron ions and atoms. Our…

Atomic Physics · Physics 2015-05-19 Alexei M Frolov , David M. Wardlaw

Vibronic coupling constants in the monoanionic, trianionic, and excited states of picene are evaluated from the total energy gradients using the density functional theory. Employing the calculated vibronic coupling constants in the excited…

Chemical Physics · Physics 2015-06-04 Tohru Sato , Naoya Iwahara , Kazuyoshi Tanaka

We perform a study on extended adiabatic potential energy curves of nearly 38 states of 1,3$\Sigma^+$, 1,3$\Pi$ and 1,3$\Delta$ symmetries for the (SrNa)$^+$ ion, though only the ground and first two excited states are used for the study of…

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