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Lang J, Przybytek M, Lesiuk M, Jeziorski B. Collision-induced three-body polarizability of helium. J Chem Phys 2023; 158:114303. [PMID: 36948830 DOI: 10.1063/5.0137879] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/23/2023] Open
Abstract
We present the first-principles determination of the three-body polarizability and the third dielectric virial coefficient of helium. Coupled-cluster and full configuration interaction methods were used to perform electronic structure calculations. The mean absolute relative uncertainty of the trace of the polarizability tensor, resulting from the incompleteness of the orbital basis set, was found to be 4.7%. Additional uncertainty due to the approximate treatment of triple and the neglect of higher excitations was estimated at 5.7%. An analytic function was developed to describe the short-range behavior of the polarizability and its asymptotics in all fragmentation channels. We calculated the third dielectric virial coefficient and its uncertainty using the classical and semiclassical Feynman-Hibbs approaches. The results of our calculations were compared with experimental data and with recent Path-Integral Monte Carlo (PIMC) calculations [Garberoglio et al., J. Chem. Phys. 155, 234103 (2021)] employing the so-called superposition approximation of the three-body polarizability. For temperatures above 200 K, we observed a significant discrepancy between the classical results obtained using superposition approximation and the ab initio computed polarizability. For temperatures from 10 K up to 200 K, the differences between PIMC and semiclassical calculations are several times smaller than the uncertainties of our results. Except at low temperatures, our results agree very well with the available experimental data but have much smaller uncertainties. The data reported in this work eliminate the main accuracy bottleneck in the optical pressure standard [Gaiser et al., Ann. Phys. 534, 2200336 (2022)] and facilitate further progress in the field of quantum metrology.
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Affiliation(s)
- J Lang
- Faculty of Chemistry, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland
| | - M Przybytek
- Faculty of Chemistry, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland
| | - M Lesiuk
- Faculty of Chemistry, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland
| | - B Jeziorski
- Faculty of Chemistry, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland
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Głaz W, Haskopoulos A, Maroulis G, Bancewicz T. Modeling of interaction induced polarizability of H 2-H, numerical analysis. J Chem Phys 2019; 151:014111. [DOI: 10.1063/1.5100265] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Waldemar Głaz
- Nonlinear Optics Division, Faculty of Physics, Adam Mickiewicz University, ul. Uniwersytetu Poznańskiego 2, 61-680 Poznań, Poland
| | | | - George Maroulis
- Department of Chemistry, University of Patras, GR-26500 Patras, Greece
| | - Tadeusz Bancewicz
- Nonlinear Optics Division, Faculty of Physics, Adam Mickiewicz University, ul. Uniwersytetu Poznańskiego 2, 61-680 Poznań, Poland
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Lee HK, Li X, Miliordos E, Hunt KLC. The interaction-induced dipole of H 2–H: New ab initioresults and spherical tensor analysis. J Chem Phys 2019; 150:204307. [DOI: 10.1063/1.5098900] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Hua-Kuang Lee
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
| | - Xiaoping Li
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
| | - Evangelos Miliordos
- Department of Chemistry and Biochemistry, Auburn University, Auburn, Alabama 36489, USA
| | - Katharine L. C. Hunt
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
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Hohm U, Kerl K. Interferometric Determination of Mean Polarizabilities and Second Density Virial Coefficients of Methane Between 128 K and 890 K. ACTA ACUST UNITED AC 2010. [DOI: 10.1002/bbpc.19910950107] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Dixneuf S, Chrysos M, Rachet F. Anisotropic collision-induced Raman scattering by the Kr:Xe gas mixture. J Chem Phys 2009; 131:074304. [DOI: 10.1063/1.3200929] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Gustafsson M, Frommhold L, Li X, Hunt KLC. Roto-translational Raman spectra of pairs of hydrogen molecules from first principles. J Chem Phys 2009; 130:164314. [DOI: 10.1063/1.3123163] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022] Open
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Chrysos M, Kouzov AP, Egorova NI, Rachet F. Exact low-order classical moments in collision-induced bands by linear rotors: CO2-CO2. PHYSICAL REVIEW LETTERS 2008; 100:133007. [PMID: 18517948 DOI: 10.1103/physrevlett.100.133007] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/04/2007] [Indexed: 05/26/2023]
Abstract
Exact and general analytic expressions are reported for the integrated intensity and the width of collision-induced absorption (CIA) and collision-induced scattering (CIS) bands by gases of centrosymmetric linear molecules. These expressions provide significant insight and allow assignment of partial second moments to the degrees of freedom of the colliding molecules. The expressions are applied to ambient CO(2), whose collisional spectra are reputed to be useful probes for terrestrial and planetary atmospheres. Compelling evidence of the substantial role of hitherto missing polarization and polarizability mechanisms is provided and is in remarkable agreement with experimental observation. Our findings allow the long-overdue simple interpretation of CIA and CIS by CO(2)-CO(2) without the need to resort to short-range interactions to offset the discrepancies between theory and experiment.
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Affiliation(s)
- M Chrysos
- Laboratoire des Propriétés Optiques des Matériaux et Applications, UMR CNRS 6136, Université d'Angers, 2 boulevard Lavoisier, 49045 Angers, France.
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Li X, Ahuja C, Harrison JF, Hunt KLC. The collision-induced polarizability of a pair of hydrogen molecules. J Chem Phys 2007; 126:214302. [PMID: 17567191 DOI: 10.1063/1.2121548] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/25/2022] Open
Abstract
Collision-induced light scattering, impulsive stimulated scattering, and subpicosecond-induced birefringence all depend on the transient changes Deltaalpha in molecular polarizabilities that occur when molecules collide. Ab initio results for Deltaalpha are needed to permit comparisons with accurate experimental results for these spectra and for refractive index virial coefficients and dielectric virial coefficients. In this work, we provide results for Deltaalpha for a pair of hydrogen molecules, treated at CCSD(T) level, with an aug-cc-pV5Z (spdf) basis set. Our values replace the best previous ab initio results for the variation of Deltaalpha with intermolecular separation, the self-consistent-field results obtained by Bounds [Mol. Phys. 38, 2099 (1979)] with a relatively small (3s2p) basis set for H2. For the six geometrical configurations studied by Bounds, the inclusion of correlation and improvements in the basis tend to increase both the trace Deltaalpha(0)0 and the anisotropy Deltaalpha2m of the pair polarizability. The change in the anisotropy is relatively small, but our values for the trace differ by factors of 2 or more from Bounds' results. For use in computing experimental line shapes, intensities, and virial coefficients, we have calculated Deltaalpha for 18 different relative orientations of a pair of H2 molecules, with the intermolecular separation R ranging from 2 a.u. (3 a.u. for a linear pair) to 10 a.u. The H2 bond length is fixed at the vibrationally averaged internuclear separation in the ground state r=1.449 a.u. Our results agree well with the CCSD(T) results for Deltaalpha obtained by Maroulis [J. Phys. Chem. A 104, 4772 (2000)] for two pair configurations of H2...H2 (linear and T-shaped) at a fixed internuclear distance of R=6.5 a.u. in a [6s4p1d] basis. As the intermolecular distance increases (for R>or=8 a.u.), the spherical-tensor components of Deltaalpha converge to the results from a long-range model that includes dipole-induced-dipole (DID) interactions, higher-multipole induction, nonuniformity of the local field, hyperpolarization, and van der Waals dispersion. Deviations from the first-order DID model are still evident for R between 8 and 10 a.u. in most orientations of the pair. At shorter range, overlap damping, exchange, and orbital distortion reduce both Deltaalpha0(0) and Deltaalpha(2)0 below their long-range limiting forms.
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Affiliation(s)
- X Li
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
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Avramopoulos A, Papadopoulos MG, Sadlej AJ. Relativistic effects on interaction-induced electric properties of weakly interacting systems: The HF…AuH dimer. J Chem Phys 2002. [DOI: 10.1063/1.1520131] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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TEBOUL VICTOR. Three-body interaction-induced light scattering in krypton gas: a computer simulation of the spectral line shapes. Mol Phys 1999. [DOI: 10.1080/00268979909483107] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Kirillov SA. Interactions and picosecond dynamics in molten salts: a rewiew with comparison to molecular liquids. J Mol Liq 1998. [DOI: 10.1016/s0167-7322(98)00052-x] [Citation(s) in RCA: 56] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Li X, Hunt KLC, Pipin J, Bishop DM. Long‐range, collision‐induced hyperpolarizabilities of atoms or centrosymmetric linear molecules: Theory and numerical results for pairs containing H or He. J Chem Phys 1996. [DOI: 10.1063/1.472867] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Moszynski R, Heijmen TGA, Wormer PES, van der Avoird A. Ab initiocollision‐induced polarizability, polarized and depolarized Raman spectra, and second dielectric virial coefficient of the helium diatom. J Chem Phys 1996. [DOI: 10.1063/1.471416] [Citation(s) in RCA: 57] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Li X, Hunt KLC. Transient changes in polarizability for centrosymmetric linear molecules interacting at long range: Theory and numerical results for H2...H2, H2...N2, and N2...N2. J Chem Phys 1994. [DOI: 10.1063/1.466834] [Citation(s) in RCA: 28] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Hohm U. A new method for the determination of the dispersion of the second refractivity virial coefficientbR(λ) and its application to Ar, Kr, and CO2. Mol Phys 1991. [DOI: 10.1080/00268979100102931] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Stelle WA. Computer simulation of the depolarized rayleigh scattering in fluid N2. J Mol Liq 1991. [DOI: 10.1016/0167-7322(91)80018-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Frattini R, Sampoli M, Vallauri R. Collision induced contributions on Rayleigh and Raman allowed spectra from fluids composed of linear molecules : A comparison between experimental and computer simulation results. J Mol Liq 1989. [DOI: 10.1016/0167-7322(89)80019-4] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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