1
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Peeters J, Vanommeslaeghe K. A Simple Model for the Pauli Repulsion with Possible Utility in QM, MM and Chemical Education. J Chem Theory Comput 2024. [PMID: 39038213 DOI: 10.1021/acs.jctc.4c00748] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 07/24/2024]
Abstract
The Pauli repulsion is the intermolecular force responsible for the volume and low compressibility of condensed-phase matter at normal conditions. A simple model for this force is presented, wherein per-atom electron densities are represented as spherical charge distributions that are prevented from significantly overlapping. In the example of two noble gas atoms approaching one another beyond their van der Waals radii, the distance between the centers of the electronic charge distributions becomes larger than the distance between the nuclei, giving rise to an unfavorable electrostatic interaction. For the purpose of calculating this interaction, the model is further simplified by representing the per-atom electron density as a negative point charge, loosely inspired by the classical Drude oscillator. The dispersion interaction is simplified to an R-6 term, centered on the aforementioned point charges. Despite the gross simplicity of the resulting formalism, near-quantitative agreement with high-level QM interaction energies of noble gas dimers is achieved. Accordingly, the present model is thought to have utility in force fields, in post-HF and post-DFT dispersion corrections, and in chemical education.
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Affiliation(s)
- Jordy Peeters
- Department of Analytical Chemistry, Applied Chemometrics and Molecular Modelling, Vrije Universiteit Brussel (VUB), Laarbeeklaan 103, 1090 Brussels, Belgium
| | - Kenno Vanommeslaeghe
- Department of Analytical Chemistry, Applied Chemometrics and Molecular Modelling, Vrije Universiteit Brussel (VUB), Laarbeeklaan 103, 1090 Brussels, Belgium
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2
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Zhu M, Tong J, Liu X, Yang W, Gong X, Jiang W, Lu P, Li H, Song X, Wu J. Tunnelling of electrons via the neighboring atom. LIGHT, SCIENCE & APPLICATIONS 2024; 13:18. [PMID: 38228578 DOI: 10.1038/s41377-023-01373-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/11/2023] [Revised: 12/12/2023] [Accepted: 12/22/2023] [Indexed: 01/18/2024]
Abstract
As compared to the intuitive process that the electron emits straight to the continuum from its parent ion, there is an alternative route that the electron may transfer to and be trapped by a neighboring ionic core before the eventual release. Here, we demonstrate that electron tunnelling via the neighboring atomic core is a pronounced process in light-induced tunnelling ionization of molecules by absorbing multiple near-infrared photons. We devised a site-resolved tunnelling experiment using an Ar-Kr+ ion as a prototype system to track the electron tunnelling dynamics from the Ar atom towards the neighboring Kr+ by monitoring its transverse momentum distribution, which is temporally captured into the resonant excited states of the Ar-Kr+ before its eventual releasing. The influence of the Coulomb potential of neighboring ionic cores promises new insights into the understanding and controlling of tunnelling dynamics in complex molecules or environment.
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Affiliation(s)
- Ming Zhu
- School of Physics and Optoelectronic Engineering, Hainan University, Haikou, 570288, China
- School of Information and Communication Engineering, Hainan University, Haikou, 570288, China
| | - Jihong Tong
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai, 200241, China
| | - Xiwang Liu
- School of Physics and Optoelectronic Engineering, Hainan University, Haikou, 570288, China
| | - Weifeng Yang
- School of Physics and Optoelectronic Engineering, Hainan University, Haikou, 570288, China.
- Center for Theoretical Physics, Hainan University, Haikou, 570288, China.
| | - Xiaochun Gong
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai, 200241, China
| | - Wenyu Jiang
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai, 200241, China
| | - Peifen Lu
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai, 200241, China
| | - Hui Li
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai, 200241, China
| | - Xiaohong Song
- School of Physics and Optoelectronic Engineering, Hainan University, Haikou, 570288, China
| | - Jian Wu
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai, 200241, China
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3
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Leibin IV, Bezrukov DS, Buchachenko AA. Trapping and thermal migration of the first- and second-row atoms in Ar, Kr and Xe crystals. Phys Chem Chem Phys 2024; 26:958-973. [PMID: 38088087 DOI: 10.1039/d3cp04178f] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2024]
Abstract
Trapping and temperature-induced migration (TIM) of the first- and second-row atoms A from H to Ne in the face-centered cubic rare gas RG = Ar, Kr and Xe crystals are investigated within the classical crystal model parameterized by the empirically modified pairwise potentials. New ab initio coupled cluster A-RG potentials computed in a uniform way for all the atoms A are used to represent the atom-crystal interactions. Absolute and relative stabilities of the substitutional and interstitial trapping sites, their structures, interstitial migration pathways, related activation energies and rough estimates of the TIM rates are obtained. The isotropic model, which neglects non-zero atomic electronic orbital momentum, reveals that migration of interstitial atoms along the network of conjugated fcc octahedral voids is the generic case for atomic mobility. Anisotropic interactions with a crystal inherent to P-state atoms B, C, O and F are accounted for using the non-relativistic diatomics-in-molecule method. Depending on its sign, interaction anisotropy can alter the structures of interstitial trapping sites and transition states remarkably. This, in turn, can dramatically affect the TIM rates. Comparison with reliable experimental data available for oxygen and hydrogen indicates a systematic overestimation of the measured activation energies, by 30% at worst. A comprehensive literature review accomplished for other atoms reveals a lack of information on the TIM processes and rates, though makes it possible to verify a part of the present results on the trapping site energies and structures.
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Affiliation(s)
- Iosif V Leibin
- Skolkovo Institute of Science and Technology, Skolkovo Innovation Center, Moscow 121205, Russia.
| | - Dmitry S Bezrukov
- Department of Chemistry, M.V. Lomonosov Moscow State University, Moscow 119991, Russia
| | - Alexei A Buchachenko
- Skolkovo Institute of Science and Technology, Skolkovo Innovation Center, Moscow 121205, Russia
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4
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Khabibrakhmanov A, Fedorov DV, Tkatchenko A. Universal Pairwise Interatomic van der Waals Potentials Based on Quantum Drude Oscillators. J Chem Theory Comput 2023; 19:7895-7907. [PMID: 37875419 PMCID: PMC10653113 DOI: 10.1021/acs.jctc.3c00797] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/21/2023] [Revised: 09/30/2023] [Accepted: 10/05/2023] [Indexed: 10/26/2023]
Abstract
Repulsive short-range and attractive long-range van der Waals (vdW) forces play an appreciable role in the behavior of extended molecular systems. When using empirical force fields, the most popular computational methods applied to such systems, vdW forces are typically described by Lennard-Jones-like potentials, which unfortunately have a limited predictive power. Here, we present a universal parameterization of a quantum-mechanical vdW potential, which requires only two free-atom properties─the static dipole polarizability α1 and the dipole-dipole C6 dispersion coefficient. This is achieved by deriving the functional form of the potential from the quantum Drude oscillator (QDO) model, employing scaling laws for the equilibrium distance and the binding energy, and applying the microscopic law of corresponding states. The vdW-QDO potential is shown to be accurate for vdW binding energy curves, as demonstrated by comparing to the ab initio binding curves of 21 noble-gas dimers. The functional form of the vdW-QDO potential has the correct asymptotic behavior at both zero and infinite distances. In addition, it is shown that the damped vdW-QDO potential can accurately describe vdW interactions in dimers consisting of group II elements. Finally, we demonstrate the applicability of the atom-in-molecule vdW-QDO model for predicting accurate dispersion energies for molecular systems. The present work makes an important step toward constructing universal vdW potentials, which could benefit (bio)molecular computational studies.
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Affiliation(s)
- Almaz Khabibrakhmanov
- Department of Physics and Materials
Science, University of Luxembourg, L-1511 Luxembourg
City, Luxembourg
| | - Dmitry V. Fedorov
- Department of Physics and Materials
Science, University of Luxembourg, L-1511 Luxembourg
City, Luxembourg
| | - Alexandre Tkatchenko
- Department of Physics and Materials
Science, University of Luxembourg, L-1511 Luxembourg
City, Luxembourg
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5
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Prediction of interaction energy for rare gas dimers using machine learning approaches. J CHEM SCI 2023. [DOI: 10.1007/s12039-023-02131-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/17/2023]
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6
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Tong J, Liu X, Dong W, Jiang W, Zhu M, Xu Y, Zuo Z, Lu P, Gong X, Song X, Yang W, Wu J. Probing Resonant Photoionization Time Delay by Self-Referenced Molecular Attoclock. PHYSICAL REVIEW LETTERS 2022; 129:173201. [PMID: 36332237 DOI: 10.1103/physrevlett.129.173201] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/01/2021] [Revised: 03/28/2022] [Accepted: 09/23/2022] [Indexed: 06/16/2023]
Abstract
Attosecond time-resolved electron tunneling dynamics have been investigated by using attosecond angular streaking spectroscopy, where a clock reference to the laser field vector is required in atomic strong-field ionization and the situation becomes complicated in molecules. Here we reveal a resonant ionization process via a transient state by developing an electron-tunneling-site-resolved molecular attoclock in Ar-Kr^{+}. Two distinct deflection angles are observed in the photoelectron angular distribution in the molecular frame, corresponding to the direct and resonant ionization pathways. We find the electron is temporally trapped in the Coulomb potential wells of the Ar-Kr^{+} before finally releasing into the continuum when the electron tunnels through the internal barrier. By utilizing the direct tunneling ionization as a self-referenced arm of the attoclock, the time delay of the electron trapped in the resonant state is revealed to be 3.50±0.04 fs. Our results give an impetus to exploring the ultrafast electron dynamics in complex systems and also endow a semiclassical presentation of the electron trapping dynamics in a quantum resonant state.
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Affiliation(s)
- Jihong Tong
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200241, China
| | - Xiwang Liu
- School of Science and Center for Theoretical Physics, Hainan University, Haikou 570288, China
| | - Wenhui Dong
- Department of Physics, College of Science, Shantou University, Shantou, Guangdong 515063, China
| | - Wenyu Jiang
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200241, China
| | - Ming Zhu
- School of Science and Center for Theoretical Physics, Hainan University, Haikou 570288, China
| | - Yidan Xu
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200241, China
| | - Zitan Zuo
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200241, China
| | - Peifen Lu
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200241, China
| | - Xiaochun Gong
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200241, China
- Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, Shanxi 030006, China
| | - Xiaohong Song
- School of Science and Center for Theoretical Physics, Hainan University, Haikou 570288, China
| | - Weifeng Yang
- School of Science and Center for Theoretical Physics, Hainan University, Haikou 570288, China
| | - Jian Wu
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200241, China
- Chongqing Key Laboratory of Precision Optics, Chongqing Institute of East China Normal University, Chongqing 401121, China
- Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, Shanxi 030006, China
- CAS Center for Excellence in Ultra-intense Laser Science, Shanghai 201800, China
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7
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Trinter F, Miteva T, Weller M, Hartung A, Richter M, Williams JB, Gatton A, Gaire B, Sartor J, Landers AL, Berry B, Ben-Itzhak I, Sisourat N, Stumpf V, Gokhberg K, Dörner R, Jahnke T, Weber T. Ultrafast temporal evolution of interatomic Coulombic decay in NeKr dimers. Chem Sci 2022; 13:1789-1800. [PMID: 35282626 PMCID: PMC8827086 DOI: 10.1039/d1sc04630f] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/21/2021] [Accepted: 12/28/2021] [Indexed: 11/21/2022] Open
Abstract
We investigate interatomic Coulombic decay in NeKr dimers after neon inner-valence photoionization [Ne+(2s-1)] using a synchrotron light source. We measure with high energy resolution the two singly charged ions of the Coulomb-exploding dimer dication and the photoelectron in coincidence. By carefully tracing the post-collision interaction between the photoelectron and the emitted ICD electron we are able to probe the temporal evolution of the state as it decays. Although the ionizing light pulses are 80 picoseconds long, we determine the lifetime of the intermediate dimer cation state and visualize the contraction of the nuclear structure on the femtosecond time scale.
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Affiliation(s)
- F Trinter
- Institut für Kernphysik, Goethe-Universität 60438 Frankfurt am Main Germany .,Molecular Physics, Fritz-Haber-Institut der Max-Planck-Gesellschaft 14195 Berlin Germany
| | - T Miteva
- Laboratoire de Chimie Physique Matière et Rayonnement, UMR 7614, Sorbonne Université, CNRS 75005 Paris France
| | - M Weller
- Institut für Kernphysik, Goethe-Universität 60438 Frankfurt am Main Germany .,Lawrence Berkeley National Laboratory, Chemical Sciences Division Berkeley California 94720 USA
| | - A Hartung
- Institut für Kernphysik, Goethe-Universität 60438 Frankfurt am Main Germany
| | - M Richter
- Institut für Kernphysik, Goethe-Universität 60438 Frankfurt am Main Germany
| | - J B Williams
- Department of Physics, University of Nevada Reno Nevada 89557 USA
| | - A Gatton
- Lawrence Berkeley National Laboratory, Chemical Sciences Division Berkeley California 94720 USA .,Department of Physics, Auburn University Auburn Alabama 36849 USA
| | - B Gaire
- Lawrence Berkeley National Laboratory, Chemical Sciences Division Berkeley California 94720 USA
| | - J Sartor
- Department of Physics, Auburn University Auburn Alabama 36849 USA
| | - A L Landers
- Department of Physics, Auburn University Auburn Alabama 36849 USA
| | - B Berry
- J. R. Macdonald Laboratory, Department of Physics, Kansas State University Manhattan Kansas 66506 USA
| | - I Ben-Itzhak
- J. R. Macdonald Laboratory, Department of Physics, Kansas State University Manhattan Kansas 66506 USA
| | - N Sisourat
- Laboratoire de Chimie Physique Matière et Rayonnement, UMR 7614, Sorbonne Université, CNRS 75005 Paris France
| | - V Stumpf
- Theoretische Chemie, Physikalisch-Chemisches Institut, Universität Heidelberg 69120 Heidelberg Germany
| | - K Gokhberg
- Theoretische Chemie, Physikalisch-Chemisches Institut, Universität Heidelberg 69120 Heidelberg Germany
| | - R Dörner
- Institut für Kernphysik, Goethe-Universität 60438 Frankfurt am Main Germany
| | - T Jahnke
- European XFEL GmbH 22869 Schenefeld Germany
| | - T Weber
- Lawrence Berkeley National Laboratory, Chemical Sciences Division Berkeley California 94720 USA
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8
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Sheng X, Toennies JP, Tang KT. Conformal Analytical Potential for All the Rare Gas Dimers over the Full Range of Internuclear Distances. PHYSICAL REVIEW LETTERS 2020; 125:253402. [PMID: 33416396 DOI: 10.1103/physrevlett.125.253402] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/27/2020] [Accepted: 11/18/2020] [Indexed: 06/12/2023]
Abstract
An analytical model for the potential between two rare gas atoms at distances between R=0 to R→∞ is assumed to be conformal with the previously published potential for He_{2} [J. Chem. Phys. 142, 131102 (2015)JCPSA60021-960610.1063/1.4916740]. The potential curves of the rare gas dimers all have the same shape and only depend on the well parameters D_{e} and R_{e}. The potentials and the vibrational levels for the 11 homonuclear and heteronuclear dimers for which recent ab initio calculations are available agree, within several percent, with the ab initio results. For the other rare gas dimers, the new potential provides the first realistic estimates for the potentials.
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Affiliation(s)
- Xiaowei Sheng
- Department of Physics, Anhui Normal University, Anhui, Wuhu 241000, China
| | - J Peter Toennies
- Max-Planck-Institut für Dynamik und Selbstorganisation, Am Fassberg 17, D-37077, Göttingen, Germany
| | - K T Tang
- Department of Physics, Pacific Lutheran University, Tacoma, Washington 98447, USA
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9
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Potential energy surface of interaction of two diatomic molecules for air flows simulation at intermediate temperatures. Chem Phys 2020. [DOI: 10.1016/j.chemphys.2020.110850] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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10
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Fakhardji W, Szabó P, El-Kader MSA, Gustafsson M. Molecular dynamics calculations of collision-induced absorption in a gas mixture of neon and krypton. J Chem Phys 2020; 152:234302. [PMID: 32571059 DOI: 10.1063/5.0006186] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We continue the development of the in-house molecular dynamics software package SpaCIAL and test it for the computation of the collision-induced absorption coefficients for a neon (Ne) and krypton (Kr) gas mixture. An apodization procedure for the dipole autocorrelation function is implemented and tested. We also carry out a statistical study of the convergence rate with respect to ensemble size. The resulting absorption coefficients show a good accordance with quantum mechanical results. Comparison with laboratory measurements shows agreement within 10%-20% at T = 295 K. At T = 480 K, a larger difference of 40%-80% is observed, which can presumably be explained by experimental uncertainties. For the study, an empirical (Barker, Fisher, and Watts) interaction-potential [Mol. Phys. 21, 657 (1971)] for Ne-Kr has been developed. Ab initio {coupled cluster with singles and doubles (triples) [CCSD(T)]} potentials for Ne-Ne, Kr-Kr, and Ne-Kr have been computed, as well as the CCSD(T) interaction-induced Ne-Kr dipole moment curve.
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Affiliation(s)
- Wissam Fakhardji
- Applied Physics, Division of Materials Science, Department of Engineering Science and Mathematics, Luleå University of Technology, 97187 Luleå, Sweden
| | - Péter Szabó
- Applied Physics, Division of Materials Science, Department of Engineering Science and Mathematics, Luleå University of Technology, 97187 Luleå, Sweden
| | - M S A El-Kader
- Department of Engineering Mathematics and Physics, Faculty of Engineering, Cairo University, Giza 12211, Egypt
| | - Magnus Gustafsson
- Applied Physics, Division of Materials Science, Department of Engineering Science and Mathematics, Luleå University of Technology, 97187 Luleå, Sweden
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11
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Peterson KI, Pullman DP, Lin W, Minei AJ, Arsenault EA, Novick SE. Structure and Dynamics of the Methane-Propane van der Waals Complex. J Phys Chem A 2019; 123:5274-5282. [DOI: 10.1021/acs.jpca.9b02486] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Karen I. Peterson
- Department of Chemistry and Biochemistry, San Diego State University, 5500 Campanile Road, San Diego, California 92182-1030, United States
| | - D. P. Pullman
- Department of Chemistry and Biochemistry, San Diego State University, 5500 Campanile Road, San Diego, California 92182-1030, United States
| | - Wei Lin
- Department of Chemistry, University of Texas Rio Grande Valley, Brownsville, Texas, United States
| | - Andrea J. Minei
- Department of Chemistry and Biochemistry, Division of Natural Sciences, College of Mount Saint Vincent, 6301 Riverdale Avenue, Riverdale, New York 10471, United States
| | - Eric A. Arsenault
- Department of Chemistry, Wesleyan University, 52 Lawn Avenue, Middletown, Connecticut 06459, United States
| | - Stewart E. Novick
- Department of Chemistry, Wesleyan University, 52 Lawn Avenue, Middletown, Connecticut 06459, United States
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12
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Detmar E, Yazdi Nezhad S, Deiters UK. Determination of the Residual Entropy of Simple Mixtures by Monte Carlo Simulation. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2017; 33:11603-11610. [PMID: 28732441 DOI: 10.1021/acs.langmuir.7b02000] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Extensive Monte Carlo simulations were performed for (neon + krypton) mixtures for temperatures between 200 K and 600 K and pressures up to 1 GPa, using Lennard-Jones potentials to describe the intermolecular interactions. The residual entropies were obtained via Widom's insertion method, as well as via an integration technique. At high pressures, the residual entropy is, to a very good approximation, a linear function of λa-1, which is the reciprocal value of the average Monte Carlo displacement parameter that gives the acceptance ratio a for translational moves. The slope of this linear function varies linearly with the mole fraction and is related to the effective collision diameters of the molecules. As the displacement parameter is available during Monte Carlo simulations of fluids, its linearity with the residual entropy can be used to compute this properties with negligible computational effort at high densities, when particle insertion methods become unreliable.
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Affiliation(s)
- Eric Detmar
- Institute of Physical Chemistry, University of Cologne , Luxemburger Str. 116, 50939 Köln, Germany
| | - Simin Yazdi Nezhad
- Institute of Physical Chemistry, University of Cologne , Luxemburger Str. 116, 50939 Köln, Germany
| | - Ulrich K Deiters
- Institute of Physical Chemistry, University of Cologne , Luxemburger Str. 116, 50939 Köln, Germany
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13
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Jäger B, Bich E. Thermophysical properties of krypton-helium gas mixtures from ab initio pair potentials. J Chem Phys 2017; 146:214302. [PMID: 28595411 DOI: 10.1063/1.4984100] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A new potential energy curve for the krypton-helium atom pair was developed using supermolecular ab initio computations for 34 interatomic distances. Values for the interaction energies at the complete basis set limit were obtained from calculations with the coupled-cluster method with single, double, and perturbative triple excitations and correlation consistent basis sets up to sextuple-zeta quality augmented with mid-bond functions. Higher-order coupled-cluster excitations up to the full quadruple level were accounted for in a scheme of successive correction terms. Core-core and core-valence correlation effects were included. Relativistic corrections were considered not only at the scalar relativistic level but also using full four-component Dirac-Coulomb and Dirac-Coulomb-Gaunt calculations. The fitted analytical pair potential function is characterized by a well depth of 31.42 K with an estimated standard uncertainty of 0.08 K. Statistical thermodynamics was applied to compute the krypton-helium cross second virial coefficients. The results show a very good agreement with the best experimental data. Kinetic theory calculations based on classical and quantum-mechanical approaches for the underlying collision dynamics were utilized to compute the transport properties of krypton-helium mixtures in the dilute-gas limit for a large temperature range. The results were analyzed with respect to the orders of approximation of kinetic theory and compared with experimental data. Especially the data for the binary diffusion coefficient confirm the predictive quality of the new potential. Furthermore, inconsistencies between two empirical pair potential functions for the krypton-helium system from the literature could be resolved.
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Affiliation(s)
- Benjamin Jäger
- Institut für Chemie, Universität Rostock, D-18059 Rostock, Germany
| | - Eckard Bich
- Institut für Chemie, Universität Rostock, D-18059 Rostock, Germany
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14
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Wei L, Li P, Tang K. Iterative combining rules for the van der Waals potentials of mixed rare gas systems. Chem Phys Lett 2017. [DOI: 10.1016/j.cplett.2017.02.066] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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15
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Jäger B, Hellmann R, Bich E, Vogel E. State-of-the-art ab initio potential energy curve for the krypton atom pair and thermophysical properties of dilute krypton gas. J Chem Phys 2016; 144:114304. [DOI: 10.1063/1.4943959] [Citation(s) in RCA: 72] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022] Open
Affiliation(s)
- Benjamin Jäger
- Institut für Chemie, Universität Rostock, D-18059 Rostock, Germany
| | - Robert Hellmann
- Institut für Chemie, Universität Rostock, D-18059 Rostock, Germany
| | - Eckard Bich
- Institut für Chemie, Universität Rostock, D-18059 Rostock, Germany
| | - Eckhard Vogel
- Institut für Chemie, Universität Rostock, D-18059 Rostock, Germany
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16
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Sharipov F, Benites VJ. Transport coefficients of helium-argon mixture based on ab initio potential. J Chem Phys 2015; 143:154104. [PMID: 26493894 DOI: 10.1063/1.4933327] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The viscosity, thermal conductivity, diffusion coefficient, and thermal diffusion factor of helium-argon mixtures are calculated for a wide range of temperature and for various mole fractions up to the 12th order of the Sonine polynomial expansion with an ab initio intermolecular potential. The calculated values for these transport coefficients are compared with other data available in the open literature. The comparison shows that the obtained transport coefficients of helium-argon mixture have the best accuracy for the moment.
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Affiliation(s)
- Felix Sharipov
- Departamento de Física, Universidade Federal do Paraná, Caixa Postal 19044, Curitiba 81531-990, Brazil
| | - Victor J Benites
- Departamento de Física, Universidade Federal do Paraná, Caixa Postal 19044, Curitiba 81531-990, Brazil
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17
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Waldrop JM, Song B, Patkowski K, Wang X. Accurate ab initio potential for the krypton dimer and transport properties of the low-density krypton gas. J Chem Phys 2015; 142:204307. [DOI: 10.1063/1.4921623] [Citation(s) in RCA: 28] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Jonathan M. Waldrop
- Department of Chemistry and Biochemistry, Auburn University, Auburn, Alabama 36849, USA
| | - Bo Song
- Key Laboratory of Thermo-Fluid Science and Engineering, Ministry of Education, School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, China
| | - Konrad Patkowski
- Department of Chemistry and Biochemistry, Auburn University, Auburn, Alabama 36849, USA
| | - Xiaopo Wang
- Key Laboratory of Thermo-Fluid Science and Engineering, Ministry of Education, School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, China
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18
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Shirkov L, Makarewicz J. Does DFT-SAPT method provide spectroscopic accuracy? J Chem Phys 2015; 142:064102. [DOI: 10.1063/1.4907204] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Sharipov F, Strapasson JL. Ab initio simulation of transport phenomena in rarefied gases. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 86:031130. [PMID: 23030889 DOI: 10.1103/physreve.86.031130] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/26/2012] [Indexed: 06/01/2023]
Abstract
Ab initio potentials are implemented into the direct simulation Monte Carlo (DSMC) method. Such an implementation allows us to model transport phenomena in rarefied gases without any fitting parameter of intermolecular collisions usually extracted from experimental data. Applying the method proposed by Sharipov and Strapasson [Phys. Fluids 24, 011703 (2012)], the use of ab initio potentials in the DSMC requires the same computational efforts as the widely used potentials such as hard spheres, variable hard sphere, variable soft spheres, etc. At the same time, the ab initio potentials provide more reliable results than any other one. As an example, the transport coefficients of a binary mixture He-Ar, viz., viscosity, thermal conductivity, and thermal diffusion factor, have been calculated for several values of the mole fraction.
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Affiliation(s)
- Felix Sharipov
- Departamento de Física, Universidade Federal do Paraná, Caixa Postal 19044, Curitiba 81531-990, Brazil.
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Islampour R, Gharibi M, Khavaninzadeh A. A comparative study of intermolecular potential energy functions proposed for the rare gas dimers. J STRUCT CHEM+ 2011. [DOI: 10.1134/s0022476611040044] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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21
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Song B, Wang X, Wu J, Liu Z. Calculations of the thermophysical properties of binary mixtures of noble gases at low density from ab initiopotentials. Mol Phys 2011. [DOI: 10.1080/00268976.2011.576654] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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22
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Arion T, Mucke M, Förstel M, Bradshaw AM, Hergenhahn U. Interatomic Coulombic decay in mixed NeKr clusters. J Chem Phys 2011; 134:074306. [PMID: 21341843 DOI: 10.1063/1.3552082] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Tiberiu Arion
- Max-Planck-Institut für Plasmaphysik, EURATOM Association, Garching bei München, Germany
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Niu M, Xu XT, Chen X, Hu XL, Feng EY. Three-dimensional Potential Energy Surface and Bound States of the Ar2-Ne Complex. CHINESE J CHEM PHYS 2010. [DOI: 10.1088/1674-0068/23/05/549-552] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Mantina M, Chamberlin AC, Valero R, Cramer CJ, Truhlar DG. Consistent van der Waals radii for the whole main group. J Phys Chem A 2009; 113:5806-12. [PMID: 19382751 DOI: 10.1021/jp8111556] [Citation(s) in RCA: 1082] [Impact Index Per Article: 72.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022]
Abstract
Atomic radii are not precisely defined but are nevertheless widely used parameters in modeling and understanding molecular structure and interactions. The van der Waals radii determined by Bondi from molecular crystals and data for gases are the most widely used values, but Bondi recommended radius values for only 28 of the 44 main-group elements in the periodic table. In the present Article, we present atomic radii for the other 16; these new radii were determined in a way designed to be compatible with Bondi's scale. The method chosen is a set of two-parameter correlations of Bondi's radii with repulsive-wall distances calculated by relativistic coupled-cluster electronic structure calculations. The newly determined radii (in A) are Be, 1.53; B, 1.92; Al, 1.84; Ca, 2.31; Ge, 2.11; Rb, 3.03; Sr, 2.49; Sb, 2.06; Cs, 3.43; Ba, 2.68; Bi, 2.07; Po, 1.97; At, 2.02; Rn, 2.20; Fr, 3.48; and Ra, 2.83.
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Affiliation(s)
- Manjeera Mantina
- Department of Chemistry and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, USA
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25
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Eskandari Nasrabad A. Theory and atomistic simulation of krypton fluid. J Chem Phys 2008; 129:244504. [DOI: 10.1063/1.3046564] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022] Open
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Makarewicz J. Ab initio intermolecular potential energy surfaces of the water-rare gas atom complexes. J Chem Phys 2008; 129:184310. [DOI: 10.1063/1.3009270] [Citation(s) in RCA: 57] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Pernpointner M, Kryzhevoi NV, Urbaczek S. Possible electronic decay channels in the ionization spectra of small clusters composed of Ar and Kr: A four-component relativistic treatment. J Chem Phys 2008; 129:024304. [DOI: 10.1063/1.2952272] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023] Open
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DeYonker NJ, Peterson KA, Wilson AK. Systematically Convergent Correlation Consistent Basis Sets for Molecular Core−Valence Correlation Effects: The Third-Row Atoms Gallium through Krypton. J Phys Chem A 2007; 111:11383-93. [DOI: 10.1021/jp0747757] [Citation(s) in RCA: 129] [Impact Index Per Article: 7.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Nathan J. DeYonker
- Center for Advanced Scientific Computing and Modeling (CASCaM), Department of Chemistry, University of North Texas, Denton, Texas 76203, and Department of Chemistry, Washington State University, Pullman, Washington 99164
| | - Kirk A. Peterson
- Center for Advanced Scientific Computing and Modeling (CASCaM), Department of Chemistry, University of North Texas, Denton, Texas 76203, and Department of Chemistry, Washington State University, Pullman, Washington 99164
| | - Angela K. Wilson
- Center for Advanced Scientific Computing and Modeling (CASCaM), Department of Chemistry, University of North Texas, Denton, Texas 76203, and Department of Chemistry, Washington State University, Pullman, Washington 99164
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Housden MP, Pyper NC. The noble gas dimers as a probe of the energetic contributions of dispersion and short-range electron correlation in weakly bound systems. Mol Phys 2007. [DOI: 10.1080/00268970701618432] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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Gerber IC, Angyán JG. London dispersion forces by range-separated hybrid density functional with second order perturbational corrections: The case of rare gas complexes. J Chem Phys 2007; 126:044103. [PMID: 17286458 DOI: 10.1063/1.2431644] [Citation(s) in RCA: 70] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022] Open
Abstract
A satisfactory account of the van der Waals (vdW) (London dispersion) forces is, in general not possible by the Kohn-Sham method using standard local, semilocal generalized gradient approximation (GGA), or meta-GGA density functionals. The recently proposed range-separated hybrid (RSH) approach, supplemented by second order perturbational corrections (MP2) to include long-range dynamic correlation effects, offers a physically consistent, seamless description of dispersion forces. It is based on a rigorous generalization of the Kohn-Sham method, where long-range exchange and correlation effects are treated by wave function methods, while short-range electron exchange and correlation are handled by local or semilocal functionals. The method is tested on a series of rare gas dimers in comparison with standard wave function theory and density functional theory approaches. In contrast to the most successful exchange correlation functionals, which describe at best the vdW minimum, the RSH+MP2 approach is valid also in the asymptotic region and the potential curve displays the correct 1/R(6) behavior at large internuclear separations. In contrast to usual MP2 calculations, the basis set superposition error is considerably reduced, making RSH+MP2 an ideal tool for exploring the potential energy surface of weakly bound molecular complexes.
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Affiliation(s)
- I C Gerber
- Laboratoire de Cristallographie et de Modélisation des Matériaux Minéraux et Biologiques, UMR 7036, CNRS, Nancy Université, B.P. 239, F-54506 Vandoeuvre-lès-Nancy, France
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Bouazza MT, Bouledroua M. Diffusion coefficient of krypton atoms in helium gas at low and moderate temperatures. Mol Phys 2007. [DOI: 10.1080/00268970601129050] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- M. T. Bouazza
- Physics Department, Badji Mokhtar University, B.P. 12, Annaba 23000, Algeria
| | - M. Bouledroua
- Physics Department, Badji Mokhtar University, B.P. 12, Annaba 23000, Algeria
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Xu * Y, Wijngaarden JV, Jäger * W. Microwave spectroscopy of ternary and quaternary van der Waals clusters. INT REV PHYS CHEM 2005. [DOI: 10.1080/01442350500252039] [Citation(s) in RCA: 51] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Abstract
This work is dedicated to Gerhard Herzberg and his prodigious contributions to molecular spectroscopy. Of particular relevance here is Herzberg's seminal 1987 article (Annu. Rev. Phys. Chem. 38, 27 (1987)) in which he discussed the electronic structures of several groups of molecules he termed "Rydberg molecules". Among these are the rare gas dimers (Rg2), a group whose study has benefited significantly from recent advances in laser excitation and synchrotron-based spectroscopies, as well as in theory. Following the spirit of Herzberg's 1987 article, this paper reviews some of the more prominent features of Rydberg states in the Rg2 family as viewed from the current perspective.Key words: rare gas dimers, rare gas dimer excited states, Rg2 electronic structures, Rydberg states of He2, Ne2, Ar2, Kr2, and Xe2, electronic states of He2, Ne2, Ar2, Kr2, and Xe2.
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34
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López Cacheiro J, Fernández B, Marchesan D, Coriani S, Hättig C, Rizzo A. Coupled cluster calculations of the ground state potential and interaction induced electric properties of the mixed dimers of helium, neon and argon. Mol Phys 2004. [DOI: 10.1080/00268970410001668606] [Citation(s) in RCA: 55] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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