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Tatarenko KA, Lazarev AV, Bokhan D, Trubnikov DN, Perera A. Long-range dispersion C 6 coefficient for SF 6 dimer: Experimental and theoretical study. J Chem Phys 2018; 149:124302. [PMID: 30278665 DOI: 10.1063/1.5049891] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The long-range dispersion C6 coefficient for the SF6 dimer is experimentally measured using a technique that uses the expansion of a supersonic pulse jet into a vacuum. A dynamic model of the jet enables us to correlate the position of the maximal peak in the time-of-flight spectrum with the initial conditions of the experiment and the parameters of the intermolecular interaction potential. Due to the low temperature of the jet target, the C6 coefficient can be extracted directly from the experimental results. Theoretical calculation of the C6 dispersion coefficient is also performed by using linearly approximated explicitly correlated coupled-cluster singles and doubles (CCSD(F12)) method with the subsequent utilization of the Casimir-Polder formula. Good agreement of experimental and theoretical results confirms the reliability of results.
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Affiliation(s)
- Kira A Tatarenko
- Laboratory of Molecular Beams, Physical Chemistry Division, Department of Chemistry, Moscow Lomonosov State University, Moscow 119991, Russian Federation
| | - Alexander V Lazarev
- Laboratory of Molecular Beams, Physical Chemistry Division, Department of Chemistry, Moscow Lomonosov State University, Moscow 119991, Russian Federation
| | - Denis Bokhan
- Laboratory of Molecular Beams, Physical Chemistry Division, Department of Chemistry, Moscow Lomonosov State University, Moscow 119991, Russian Federation
| | - Dmitrii N Trubnikov
- Laboratory of Molecular Beams, Physical Chemistry Division, Department of Chemistry, Moscow Lomonosov State University, Moscow 119991, Russian Federation
| | - Ajith Perera
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611, USA
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Constrained dipole oscillator strength distributions, sum rules, and dispersion coefficients for Br 2 and BrCN. Chem Phys Lett 2017. [DOI: 10.1016/j.cplett.2017.01.053] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Thakkar AJ, Wu T. How well do static electronic dipole polarizabilities from gas-phase experiments compare with density functional and MP2 computations? J Chem Phys 2015; 143:144302. [DOI: 10.1063/1.4932594] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Dipole–octopole polarizability of sulfur hexafluoride from isotropic and anisotropic light scattering experiments. Chem Phys Lett 2013. [DOI: 10.1016/j.cplett.2013.03.028] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Kendrick J, Leusen FJJ, Neumann MA. Empirical van der Waals corrections to solid-state density functional theory: Iodine and phosphorous containing molecular crystals. J Comput Chem 2012; 33:1615-22. [DOI: 10.1002/jcc.22994] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/29/2011] [Revised: 03/06/2012] [Accepted: 03/27/2012] [Indexed: 11/06/2022]
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Kumar A, Thakkar AJ. Ozone: Unresolved discrepancies for dipole oscillator strength distributions, dipole sums, and van der Waals coefficients. J Chem Phys 2011; 135:074303. [DOI: 10.1063/1.3626523] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023] Open
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9
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KUMAR ASHOK, MEATH WJ. Isotropic dipole properties for acetone, acetaldehyde and formaldehyde. Mol Phys 2010. [DOI: 10.1080/002689797172507] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
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BUNDGEN BPETER, THAKKAR AJITJ. Reliable anisotropic dipole properties and dispersion energy coefficients for NO, evaluated using constrained dipole oscillator strength techniques. Mol Phys 2010. [DOI: 10.1080/002689797172084] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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By SEAN A. C. McDOWELL and W. J. ME. Isotropic and anisotropic triple-dipole dispersion energy coefficients for three-body interactions involving He, Ne, Ar, Kr, Xe, H2, N2, CO, O2 and NO. Mol Phys 2010. [DOI: 10.1080/002689797172075] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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Anatole von Lilienfeld O, Tkatchenko A. Two- and three-body interatomic dispersion energy contributions to binding in molecules and solids. J Chem Phys 2010; 132:234109. [DOI: 10.1063/1.3432765] [Citation(s) in RCA: 180] [Impact Index Per Article: 12.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Kumar A, Thakkar AJ. Dipole oscillator strength distributions with improved high-energy behavior: Dipole sum rules and dispersion coefficients for Ne, Ar, Kr, and Xe revisited. J Chem Phys 2010; 132:074301. [DOI: 10.1063/1.3315418] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Contributions of Multipolar Polarizabilities to the Isotropic and Anisotropic Light Scattering Induced by Molecular Interactions in Gaseous Sulfur Hexafluoride. Z PHYS CHEM 2009. [DOI: 10.1524/zpch.218.10.1197.43591] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
Abstract
Abstract
The binary isotropic and anisotropic collision-induced light scattering spectra of the gaseous sulfur hexafluoride at room temperature are analyzed in terms of recent intermolecular potential and interaction-induced pair polarizability models, using quantum line-shapes computations. The spectra at relatively low frequencies are determined largely by the effect of bound and free transitions. At intermediate frequencies the spectra are sensitive to both the attractive part of the potential and the short-range part of the polarizability trace and anisotropy. The high frequency wings are discussed in terms of the collision-induced rotational Raman effect and estimates for the dipole–octopole polarizability E, is obtained and checked with recent ab initio theoretical value. Absolute zeroth moment of both spectra have been measured and compared with theoretical calculations using different models of the intermolecular potentials. Also, the temperature dependence of the pressure second virial coefficient, viscosity and thermal conductivity are also discussed for the proposed potentials. The results show that (M3SV) is the most accurate potential yet reported for this system.
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Kumar A, Jhanwar BL, Meath W. Dipole oscillator strength distributions, properties, and dispersion energies for ethylene, propene, and 1-butene. CAN J CHEM 2007. [DOI: 10.1139/v07-057] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
Abstract
A recommended isotropic dipole oscillator strength distribution (DOSD) has been constructed for the ethylene molecule through the use of quantum mechanical constraint techniques and experimental dipole oscillator strength (DOS) data; the DOS data employed are recent experimental results not available at the time of the original constrained DOSD analysis of this molecule. The constraints are furnished by molar refractivity data and the Thomas–Reiche–Kuhn sum rule. The DOSD is used to evaluate a variety of isotropic dipole oscillator strength sums, logarithmic dipole oscillator strength sums, and mean excitation energies for ethylene. Pseudo-DOSDs for this molecule, and for propene and 1–butene, which are based on an earlier constrained DOSD analysis for these molecules, are developed. They are used to obtain reliable results for the isotropic dipole–dipole dispersion-energy coefficients C6, for the interactions of the alkenes with each other and with 47 other species, and the triple-dipole dispersion-energy coefficients C9 for interactions involving any triple of molecules taken from ethylene, propene, and 1–butene.Key words: alkenes, dipole properties, pseudo-states, dipole–dipole and triple-dipole dispersion energies, long-range additive, non-additive interaction energies.
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Johnson ER, Becke AD. A post-Hartree-Fock model of intermolecular interactions. J Chem Phys 2007; 123:24101. [PMID: 16050735 DOI: 10.1063/1.1949201] [Citation(s) in RCA: 625] [Impact Index Per Article: 36.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022] Open
Abstract
Intermolecular interactions are of great importance in chemistry but are difficult to model accurately with computational methods. In particular, Hartree-Fock and standard density-functional approximations do not include the physics necessary to properly describe dispersion. These methods are sometimes corrected to account for dispersion by adding a pairwise C6R6 term, with C6 dispersion coefficients dependent on the atoms involved. We present a post-Hartree-Fock model in which C6 coefficients are generated by the instantaneous dipole moment of the exchange hole. This model relies on occupied orbitals only, and involves only one, universal, empirical parameter to limit the dispersion energy at small interatomic separations. The model is extensively tested on isotropic C6 coefficients of 178 intermolecular pairs. It is also applied to the calculation of the geometries and binding energies of 20 intermolecular complexes involving dispersion, dipole-induced dipole, dipole-dipole, and hydrogen-bonding interactions, with remarkably good results.
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Affiliation(s)
- Erin R Johnson
- Department of Chemistry, Queen's University Kingston, Ontario, Canada, K7L 3N6
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Rosenbaum AW, Freedman MA, Sibener SJ. Vibrational Properties of Disordered Mono- and Bilayers of Physisorbed Sulfur Hexafluoride on Au(111). J Phys Chem A 2006; 110:5537-41. [PMID: 16623487 DOI: 10.1021/jp0567772] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We have examined the low-energy single-phonon vibrations of disordered mono- and bilayers of sulfur hexafluoride physisorbed on Au(111) with inelastic helium atom scattering. At monolayer coverages, SF6 exhibits a dispersionless Einstein mode at 3.6 +/- 0.4 meV. We observed two distinct overtones of this vibration as both creation and annihilation events at 7.1 +/- 0.7 meV and 10.9 +/- 1.4 meV, respectively. The overtones are harmonic multiples of the fundamental Einstein oscillation. Bilayers of SF6 exhibit a softer fundamental vibration with an excitation energy of 3.3 +/- 0.3 meV. This softening, due to the weaker SF6 binding, also results in reduced overtone energies of 6.6 +/- 0.7 meV and 9.8 +/- 0.6 meV. The disordered bilayer does not exhibit dispersion, indicating that the molecules are still behaving like Einstein oscillators and not beginning to act as bulk crystalline SF6. The results have improved our understanding of the adsorbate-substrate and interadsorbate interactions which govern the properties of this model molecular physisorption system.
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Affiliation(s)
- A W Rosenbaum
- The James Franck Institute and Department of Chemistry, The University of Chicago, 5640 South Ellis Ave., Chicago, Illinois 60637, USA
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Adamovic I, Gordon * MS. Dynamic polarizability, dispersion coefficient C6and dispersion energy in the effective fragment potential method. Mol Phys 2005. [DOI: 10.1080/00268970512331317246] [Citation(s) in RCA: 104] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Kumar A, Jhanwar BL, Meath WJ. Dipole Oscillator Strength Distributions and Properties for Methanol, Ethanol and Propan-1-ol and Related Dispersion Energies. ACTA ACUST UNITED AC 2005. [DOI: 10.1135/cccc20051196] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
Abstract
Recommended isotropic dipole oscillator strength distributions (DOSDs) have been constructed for the methanol and ethanol molecules through the use of quantum mechanical constraint techniques and experimental dipole oscillator strength (DOS) data; the DOS data employed are recent experimental results not available at the time of the original constrained DOSD analysis of these molecules. The constraints are furnished by molar refractivity data and the Thomas-Reiche-Kuhn sum rule. The DOSDs are used to evaluate a variety of isotropic dipole oscillator strength sums, logarithmic dipole oscillator strength sums, and mean excitation energies for the molecules. Pseudo-DOSDs for these molecules, and for propan-1-ol based on an earlier constrained DOSD analysis for this molecule, are also presented. They are used to obtain reliable results for the isotropic dipole-dipole dispersion energy coefficients C6, for the interactions of the alcohols with each other and with 36 other species, and the triple-dipole dispersion energy coefficients C9for interactions involving any triple of molecules involving methanol, ethanol and propan-1-ol.
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Hohm U, Zarkova L. Semi-empirical calculation of second Kerr-effect virial coefficients of atoms and small molecules. Chem Phys Lett 2004. [DOI: 10.1016/j.cplett.2004.03.113] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Hohm U, Zarkova L. Extending the approach of the temperature-dependent potential to the small alkanes CH4, C2H6, C3H8, n-C4H10, i-C4H10, n-C5H12, C(CH3)4, and chlorine, Cl2. Chem Phys 2004. [DOI: 10.1016/j.chemphys.2003.11.026] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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KUMAR ASHOK, KUMAR MUKESH, MEATH WILLIAMJ. Dipole oscillator strengths, dipole properties and dispersion energies for SiF4. Mol Phys 2003. [DOI: 10.1080/0026897031000092986] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Kumar A, Kumar M, Meath WJ. Dipole oscillator strength properties and dispersion energies for SiH4. Chem Phys 2003. [DOI: 10.1016/s0301-0104(02)00926-6] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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KUMAR MUKESH, KUMAR ASHOK, MEATH WILLIAMJ. Dipole oscillator strength properties and dispersion energies for CI2. Mol Phys 2002. [DOI: 10.1080/00268970210162682] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Kumar A. Reliable isotropic dipole properties and dispersion energy coefficients for CCl4. ACTA ACUST UNITED AC 2002. [DOI: 10.1016/s0166-1280(02)00213-0] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Abstract
Average energy approximations for the anisotropic triple-dipole dispersion energy coefficients are tested using reliable results for these coefficients, which are available for all interactions involving the rare gases, H2, N2, CO, O2, and NO. The original average energy approximation does not reproduce any of the anisotropic coefficients to within their estimated uncertainties. More recently derived average energy approximation formulae, requiring the isotropic and anisotropic polarizabilities and average energies for the interacting species as input, reproduce all but 69 of the 680 isotropic and anisotropic coefficients considered to within their estimated uncertainties.Key words: nonadditive, three-body interactions, dispersion energies.
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Bündgen P, Thakkar AJ, Grein F, Ernzerhof M, Marian CM, Nestmann B. Moments of the quadrupole oscillator strength distribution for O2, N2, CO, HF, HCl, N2O, CO2, OCS, CS2 and C2H2: ab initio sum rule calculations. Chem Phys Lett 1996. [DOI: 10.1016/0009-2614(96)01019-6] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Kumar A, Meath WJ, Bündgen P, Thakkar AJ. Reliable anisotropic dipole properties, and dispersion energy coefficients, for O2evaluated using constrained dipole oscillator strength techniques. J Chem Phys 1996. [DOI: 10.1063/1.472344] [Citation(s) in RCA: 44] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Li X, Hunt KLC. Nonadditive, three‐body dipoles and forces on nuclei: New interrelations and an electrostatic interpretation. J Chem Phys 1996. [DOI: 10.1063/1.472280] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Kumar A, Meath WJ. Reliable isotropic and anisotropic dipole properties, and dipolar dispersion energy coefficients, for CO evaluated using constrained dipole oscillator strength techniques. Chem Phys 1994. [DOI: 10.1016/0301-0104(94)00309-2] [Citation(s) in RCA: 46] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Meinander N. An isotropic intermolecular potential for sulfur hexafluoride based on the collision‐induced light scattering spectrum, viscosity, and virial coefficient data. J Chem Phys 1993. [DOI: 10.1063/1.465589] [Citation(s) in RCA: 26] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Chartrand DJ, LeRoy RJ, Kumar A, Meath WJ. Effect of three‐body forces on the statics and dynamics of SF6–(Rg)n and (Rg)13 clusters. J Chem Phys 1993. [DOI: 10.1063/1.464882] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Taylor WL, Hurly JJ. Thermal diffusion factors and intermolecular potentials for noble gas–SF6systems. J Chem Phys 1993. [DOI: 10.1063/1.465052] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Kumar A, Meath WJ. Dipole oscillator strength properties and dispersion energies for acetylene and benzene. Mol Phys 1992. [DOI: 10.1080/00268979200100251] [Citation(s) in RCA: 60] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Constrained anisotropic dipole oscillator strength distribution techniques, and reliable results for anisotropic and isotropic dipole molecular properties, with applications to H2 and N2. ACTA ACUST UNITED AC 1992. [DOI: 10.1007/bf01113134] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Spackman MA. Time‐dependent Hartree–Fock second‐order molecular properties with a moderately sized basis set. II. Dispersion coefficients. J Chem Phys 1991. [DOI: 10.1063/1.460039] [Citation(s) in RCA: 36] [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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Aziz RA, Slaman MJ, Taylor WL, Hurly JJ. An improved intermolecular potential for sulfur hexafluoride. J Chem Phys 1991. [DOI: 10.1063/1.460059] [Citation(s) in RCA: 30] [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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Spackman MA. Time‐dependent Hartree–Fock second‐order molecular properties with a moderately sized basis set. I. The frequency dependence of the dipole polarizability. J Chem Phys 1991. [DOI: 10.1063/1.460038] [Citation(s) in RCA: 52] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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El‐Sheikh SM, Tabisz GC, Pack RT. Search for a multiproperty empirical intermolecular potential for XeSF6. J Chem Phys 1990. [DOI: 10.1063/1.457781] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Geertsen J, Oddershede J, Sabin JR. Calculation of molecular mean excitation energies via the polarization propagator formalism: H2 and H2O. PHYSICAL REVIEW. A, GENERAL PHYSICS 1986; 34:1104-1111. [PMID: 9897368 DOI: 10.1103/physreva.34.1104] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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