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El-Kader M, Maroulis G. An empirical multi-parameter anisotropic intermolecular potential, collision-induced absorption and predicted collision-induced light scattering spectra for CF4–He. Chem Phys 2011. [DOI: 10.1016/j.chemphys.2011.07.027] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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2
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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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3
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Becke AD, Johnson ER. Exchange-hole dipole moment and the dispersion interaction revisited. J Chem Phys 2007; 127:154108. [PMID: 17949133 DOI: 10.1063/1.2795701] [Citation(s) in RCA: 323] [Impact Index Per Article: 17.9] [Reference Citation Analysis] [Abstract] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We have recently introduced a model of the dispersion interaction based on the position-dependent dipole moment of the exchange hole [J. Chem. Phys. 122, 154104 (2005)]. The original derivation, involving simple dipole-induced-dipole electrostatics, was somewhat heuristic, however, and lacking in rigor. Here we present a much more satisfying derivation founded on second-order perturbation theory in the closure approximation and a semiclassical evaluation of the relevant interaction integrals. Expressions for C6, C8, and C10 dispersion coefficients are obtained in a remarkably straightforward manner. Their values agree very well with ab initio reference data on dispersion coefficients between the atoms H, He, Ne, Ar, Kr, and Xe. We also highlight the importance of the exchange-hole contribution to the dispersion coefficients, especially to C6.
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Affiliation(s)
- Axel D Becke
- Department of Chemistry, Dalhousie University, Halifax, Nova Scotia B3H 4J3, Canada.
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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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Corbin N, Meath WJ, Allnatt A. Second virial coefficients, including quantum corrections, for nitrogen using model potentials. Mol Phys 2006. [DOI: 10.1080/00268978400102231] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Kumar A, Meath WJ. Pseudo-spectral dipole oscillator strengths and dipole-dipole and triple-dipole dispersion energy coefficients for HF, HCl, HBr, He, Ne, Ar, Kr and Xe. Mol Phys 2006. [DOI: 10.1080/00268978500103191] [Citation(s) in RCA: 257] [Impact Index Per Article: 13.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Buck U, Kohlhase A, Secrest D, Phillips T, Scoles G, Grein F. Rotationally inelastic scattering and potential calculations for Ne + CH4. Mol Phys 2006. [DOI: 10.1080/00268978500102001] [Citation(s) in RCA: 39] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Affiliation(s)
- Fred Mulder
- a Department of Chemistry , University of Western Ontario , London , Canada , N6A 5B7
- b Chr. HEAO-Zwolle , Diezerstraat 80, Zwolle , The Netherlands
| | - William J. Meath
- a Department of Chemistry , University of Western Ontario , London , Canada , N6A 5B7
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Buck U, Kohl K, Kohlhase A, Faubel M, Staemmler V. Rotationally inelastic scattering and potential calculations for He + CH4. Mol Phys 2006. [DOI: 10.1080/00268978500102011] [Citation(s) in RCA: 53] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Douketis C, Hutson J, Orr B, Scoles G. Anisotropic intermolecular forces from Hartree-Fock plus damped dispersion (HFD) calculations. Mol Phys 2006. [DOI: 10.1080/00268978400101541] [Citation(s) in RCA: 62] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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12
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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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Dkhissi A, Alikhani M, Bouteiller Y. Methodological study of Becke3-LYP density functional adapted to the determination of accurate infrared signature for hydrogen-bonded complexes. J Mol Struct 1997. [DOI: 10.1016/s0022-2860(97)00037-9] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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14
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Kendrick B, Pack RT. Potential energy surfaces for the low‐lying 2A‘ and 2A’ States of HO2: Use of the diatomics in molecules model to fit ab initio data. J Chem Phys 1995. [DOI: 10.1063/1.468765] [Citation(s) in RCA: 94] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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LeRoy RJ, Bissonnette C, Wu TH, Dham AK, Meath WJ. Improved modelling of atom–molecule potential-energy surfaces: illustrative application to He–CO. Faraday Discuss 1994. [DOI: 10.1039/fd9949700081] [Citation(s) in RCA: 70] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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16
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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: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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17
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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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Meath WJ, Koulis M. On the construction and use of reliable two- and many-body interatomic and intermolecular potentials. ACTA ACUST UNITED AC 1991. [DOI: 10.1016/0166-1280(91)80002-p] [Citation(s) in RCA: 86] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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19
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Ebel G, Krohne R, Meyer H, Buck U, Schinke R, Seelemann T, Andresen P, Schleipen J, ter Meulen JJ, Diercksen GHF. Rotationally inelastic scattering of NH3 with H2: Molecular‐beam experiments and quantum calculations. J Chem Phys 1990. [DOI: 10.1063/1.458958] [Citation(s) in RCA: 20] [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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Lovejoy CM, Nesbitt DJ. Mode specific internal and direct rotational predissociation in HeHF, HeDF, and HeHCl: van der Waals complexes in the weak binding limit. J Chem Phys 1990. [DOI: 10.1063/1.459663] [Citation(s) in RCA: 85] [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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21
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Matías M, Varandas A. Atom-molecule dispersion-energy coefficients and their dependence on the intramolecular coordinate: A-H2systems. Mol Phys 1990. [DOI: 10.1080/00268979000102631] [Citation(s) in RCA: 29] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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22
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23
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Phillips TR, Secrest D. A study of the neon–methane interaction potential as determined from low energy molecular beam experiments. J Chem Phys 1990. [DOI: 10.1063/1.457852] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Phillips T, Secrest D. Close‐coupling and coupled states calculation of low energy He–CH4and Ne–CH4collisions. J Chem Phys 1989. [DOI: 10.1063/1.456953] [Citation(s) in RCA: 21] [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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26
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Dham AK, Allnatt A, Meath WJ, Aziz RA. The Kr-Kr potential energy curve and related physical properties; the XC and HFD-B potential models. Mol Phys 1989. [DOI: 10.1080/00268978900101821] [Citation(s) in RCA: 86] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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27
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Thakkar AJ. Higher dispersion coefficients: Accurate values for hydrogen atoms and simple estimates for other systems. J Chem Phys 1988. [DOI: 10.1063/1.455105] [Citation(s) in RCA: 87] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Palma A, Green S, DeFrees DJ, McLean AD. Intermolecular potential for thermal H2O-He collisions. J Chem Phys 1988; 89:1401-7. [PMID: 11538473 DOI: 10.1063/1.455139] [Citation(s) in RCA: 33] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Theoretical potentials for rotational excitation of H2O by He were constructed via several methods, all of which start with a large basis set SCF interaction. The semiempirical Hartree-Fock with damped dispersion (HFD) model adds a damped long-range attraction with parameters adjusted to fit experimental total differential cross sections. Purely ab initio potentials add correlation energies obtained via perturbation theory (MP2 and MP4) or a variational method (ICF1). Scattering calculations were performed on all surfaces to compare with available beam scattering and pressure broadening data and to assess sensitivity of state-to-state rates to uncertainties in the potential. From comparison with the limited experimental data, the ICF1 surface appears to be marginally better than the MP4 surface. Thermal rates calculated from this surface should be accurate to better than 50%, at least for the larger, more important rates.
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Affiliation(s)
- A Palma
- Department of Chemistry, Columbia University, New York 10027, USA
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29
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Towards Classification and Analytical Description of Molecular Interactions Including Quantum-Mechanical Many-Body Effects. ACTA ACUST UNITED AC 1988. [DOI: 10.1007/978-94-009-2851-0_16] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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30
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Transition metal atom-water complexes: A quantum chemical study including electron correlation. ACTA ACUST UNITED AC 1987. [DOI: 10.1016/0166-1280(87)87029-x] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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31
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Billing G. Cross sections for rotational/vibrational transitions in HF-HF collisions: effect of initial state. Chem Phys 1987. [DOI: 10.1016/0301-0104(87)85026-7] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Boughton C, Miller R, Vohralik P, Watts R. The helium-hydrogen fluoride differential scattering cross-section. Mol Phys 1986. [DOI: 10.1080/00268978600101601] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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34
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Meyer H, Buck U, Schinke R, Diercksen GHF. Rotationally inelastic scattering and potential calculation for NH3+He. J Chem Phys 1986. [DOI: 10.1063/1.450849] [Citation(s) in RCA: 54] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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35
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Corbin N, Allnatt A, Meath W. Second virial coefficients and the simulation of equilibrium properties of liquid nitrogen using model potentials. Mol Phys 1986. [DOI: 10.1080/00268978600100961] [Citation(s) in RCA: 9] [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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36
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Cardini G, O'Shea S, Impey RW, Klein ML. Solid and liquid carbon monoxide studied with the use of constant-pressure molecular dynamics. PHYSICAL REVIEW. B, CONDENSED MATTER 1986; 33:3441-3447. [PMID: 9938726 DOI: 10.1103/physrevb.33.3441] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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37
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Billing GD. Semiclassical calculation of cross sections for vibration–rotation energy transfer in HF–HF collisions. J Chem Phys 1986. [DOI: 10.1063/1.450329] [Citation(s) in RCA: 23] [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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38
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Billing GD, Poulsen LL, Diercksen GH. Rate constants for rotational excitation of ortho- and para-NH3 colliding with 4He on an Ab initio potential energy surface. Chem Phys 1985. [DOI: 10.1016/0301-0104(85)87096-8] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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39
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Kumar A, Fairley GRG, Meath WJ. Dipole properties, dispersion energy coefficients, and integrated oscillator strengths for SF6. J Chem Phys 1985. [DOI: 10.1063/1.449794] [Citation(s) in RCA: 61] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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40
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Visser F, Wormer PE. The non-empirical calculation of second-order molecular properties by means of effective states. II. Effective TDCHF spectra for NO+ CO, CO2, and C2H2. Chem Phys 1985. [DOI: 10.1016/0301-0104(85)80012-4] [Citation(s) in RCA: 31] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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42
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Kumar A, Meath WJ. Pseudo-spectral dipole oscillator-strength distributions for SO2, CS2 and OCS and values of some related dipole—dipole and triple-dipole dispersion energy constants. Chem Phys 1984. [DOI: 10.1016/0301-0104(84)80073-7] [Citation(s) in RCA: 25] [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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43
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The C6 coefficients for NeHF. Improved polarizabilities and dispersion coefficients by a simple level-shifting technique. Chem Phys Lett 1984. [DOI: 10.1016/0009-2614(84)80539-4] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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Schinke R, Meyer H, Buck U, Diercksen GHF. A new rigid‐rotor H2–CO potential energy surface from accurateabinitiocalculations and rotationally inelastic scattering data. J Chem Phys 1984. [DOI: 10.1063/1.446663] [Citation(s) in RCA: 68] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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46
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Szczȩśniak MM, Scheiner S. Studies of dispersion energy in hydrogen‐bonded systems. H2O–HOH, H2O–HF, H3N–HF, HF–HF. J Chem Phys 1984. [DOI: 10.1063/1.446903] [Citation(s) in RCA: 34] [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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47
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Calculation of the van der Waals atom-atom interactions on the basis of a hydrogen-like approximation of the electron density of the outer shell and the dipole polarizability of the atom. J STRUCT CHEM+ 1984. [DOI: 10.1007/bf00808551] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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48
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van Hemert MC. Potential energy surface for the study of inelastic collisions between nonrigid CO and H2. J Chem Phys 1983. [DOI: 10.1063/1.445034] [Citation(s) in RCA: 29] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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