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Related papers: Variational calculations on the hydrogen molecular…

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The calculation of the hindered roton-phonon energy levels of a hydrogen molecule in a confining potential with different symmetries is systematized for the case when the rotational angular momentum $J$ is a good quantum number. One goal of…

Condensed Matter · Physics 2009-11-07 T. Yildirim , A. B. Harris

Analytic potentials are built for all four $^{2S+1}\Pi_{u/g}$ states of Li$_{2}$ dissociating to Li$(2S)$ + Li$(3P)$: $3b(3^{3}\Pi_{u})$, $3B(3^{1}\Pi_{u})$, $3C(3^{1}\Pi_{g}),$ and $3d(3^{3}\Pi_{g})$. These potentials include the effect of…

Chemical Physics · Physics 2015-09-24 Nikesh S. Dattani

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

We compute the bound and resonant states of hydrogen-like muonic ions ($\mu\mu p$, $\mu\mu d$, $\mu\mu t$) and three-body muonic molecular ions ($pp\mu$, $pd\mu$, $pt\mu$, $dd\mu$, $dt\mu$, $tt\mu$), and the four-body double-muonic hydrogen…

Atomic Physics · Physics 2026-04-01 Liang-Zhen Wen , Shi-Lin Zhu

An effective optimization strategy has been developed to construct highly accurate bound state wave functions in various three-body systems. Our procedure appears to be very effective for computations of weakly bound states and various…

Atomic Physics · Physics 2014-11-21 Alexei M. Frolov , David M. Wardlaw

We have performed an approximate ab initio calculation of vibrational properties of hydrogenated amorphous silicon (a-Si:H) using a molecular dynamics method. A 216 atom model for pure amorphous silicon (a-Si) has been employed as a…

Disordered Systems and Neural Networks · Physics 2009-10-31 Serge M. Nakhmanson , D. A. Drabold

Resonant vibrational-excitation cross sections and rate constants for electron scattering by molecular oxygen are presented. Transitions between all 42 vibrational levels of O$_2(\textrm{X}\ ^3\Sigma_g^- $) are considered. Molecular…

Plasma Physics · Physics 2016-04-21 V Laporta , R Celiberto , J Tennyson

The low-energy electron-impact dissociation of molecular hydrogen has been a source of disagreement between various calculations and measurements for decades. Excitation of the ground state of H$_2$ into the dissociative $b ^3\Sigma_u^+$…

Plasma Physics · Physics 2021-02-24 Liam H. Scarlett , Dmitry V. Fursa , Jack Knol , Mark C. Zammit , Igor Bray

Accurate predictions for hydrogen molecular levels require the treatment of electrons and nuclei on an equal footing. While nonrelativistic theory has been effectively formulated this way, calculation of relativistic and quantum…

Chemical Physics · Physics 2024-01-24 Krzysztof Pachucki , Jacek Komasa

Results are presented for highly accurate ab initio variational calculation of the rotation - vibration energy levels of H2O2 in its electronic ground state. These results use a recently computed potential energy surface and the variational…

Earth and Planetary Astrophysics · Physics 2014-06-27 Oleg L. Polyansky , Igor N. Kozin , Roman I. Ovsyannikov , Pawel Malyszek , Jacek Koput , Jonathan Tennyson , Sergei N. Yurchenko

After the study of the three body molecular system H$_2^+$ ({\it J. Phys. B: At. Mol. Opt. Phys.} {\bf 45} 065101), its isotopomer, the deuterium molecular ion D$_2^+$ is studied. The three-body Schr\"odinger equation is solved using the…

Atomic Physics · Physics 2015-06-15 Horacio Olivares Pilón

We present a combination of theoretical calculations and experiments for the low-lying vibrational excitations of H and D atoms adsorbed on the Pt(111) surface. The vibrational band states are calculated based on the full three-dimensional…

Statistical Mechanics · Physics 2009-11-07 S. C. Badescu , P. Salo , T. Ala-Nissila , S. C. Ying , K. Jacobi , Y. Wang , K. Bedurftig , G. Ertl

We present an ab initio study of the HeH$^+$ molecule. Using the quantum chemistry package MOLPRO and a large adapted basis set, we have calculated the adiabatic potential energy curves of the first 20 $^1 \Sigma^+$, 19 $^3\Sigma^+$, 12…

Atomic Physics · Physics 2015-05-14 J. Loreau , J. Lievin , P. Palmeri , P. Quinet , N. Vaeck

A detailed study of the low-lying electronic states ${}^1\Si,{}^3\Si,{}^3\Pi,{}^3\De$ of the $\rm{HeH}^+$ molecular ion in parallel to a magnetic field configuration (when $\al$-particle and proton are situated on the same magnetic line) is…

Atomic Physics · Physics 2009-11-13 A. V. Turbiner , N. L. Guevara

We recalculate the leading relativistic corrections for the ground electronic state of the hydrogen molecule using variational method with explicitly correlated functions which satisfy the interelectronic cusp condition. The new…

Chemical Physics · Physics 2017-05-31 Mariusz Puchalski , Jacek Komasa , Krzysztof Pachucki

We report on highly accurate calculations of Born-Oppenheimer potentials for excited $n\,\Sigma^{+}$ states of the hydrogen molecule for all possible combinations of singlet/triplet and gerade/ungerade symmetries up to $n=7$. A relative…

Atomic Physics · Physics 2023-02-28 Michał Siłkowski , Magdalena Zientkiewicz , Krzysztof Pachucki

We present theoretical thermally-averaged rate constants for vibrational and rotational (de-)excitation of the H3+ ion by electron impact. The constants are calculated using the multi-channel quantum-defect approach. The calculation…

Atomic Physics · Physics 2015-05-18 Viatcheslav Kokoouline , Alexandre Faure , Jonathan Tennyson , Chris H. Greene

The rotational sublevels of the key (000) and (010) vibrational states of the H2S molecule were modeled with an accuracy close to experimental uncertainty using the generating function and Euler approaches. The predictive ability of the…

Chemical Physics · Physics 2021-01-14 O. V. Naumenko , E. R. Polovtseva , A. D. Bykov

A trial function is presented for the $H_2$ molecule which provides the most accurate (the lowest) Bohr-Oppenheimer ground state energy among few-parametric trial functions (with $\leq 14$ parameters). It includes the electronic correlation…

Atomic Physics · Physics 2007-05-23 A. V. Turbiner , N. L. Guevara

Electronic structure calculations for compressed molecular hydrogen are performed to provide more insight into the diversity of phenomena recently observed experimentally. We perform full-potential LAPW calculations and analyze them in…

mtrl-th · Physics 2009-10-28 I. I. Mazin , Ronald E. Cohen
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