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Leng JG, Sharples TR, McKendrick KG, Costen ML. Stereodynamics of rotational energy transfer in NO( A2Σ +) + Kr collisions. Phys Chem Chem Phys 2022; 24:6525-6534. [PMID: 35257129 DOI: 10.1039/d1cp05960b] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
A crossed molecular beam, velocity-map ion imaging apparatus has been used to determine differential cross sections (DCSs) and angle-resolved rotational angular momentum alignment moments for the state-resolved rotationally inelastic scattering of NO(A2Σ+, v = 0, j = 0.5 f1) with Kr at an average collision energy of 785 cm-1. The experimental results are compared to close-coupled quantum scattering (QS) calculations performed on a literature ab initio potential energy surface (J. Kłos et al., J. Chem. Phys., 2008, 129, 244303). DCSs are very strongly forward scattered, with weaker side and backward scattered peaks becoming progressively more important at higher-N'. Good agreement is found between experimental and QS DCSs, indicating that the PES is an accurate reflection of the NO(A)-Kr interaction energies. Partial wave analysis of the QS DCSs isolates multiple scattering mechanisms contributing to the DCSs, including L-type rainbows and Fraunhofer diffraction. Measured alignment moments are not well described by a hard-shell kinematic apse scattering model, showing deviations in the forward scattering hemisphere that are in agreement with QS calculations and arise from attractive regions of the PES. These discrepancies emphasise that established scattering mechanisms for molecules such as NO with lighter noble gases cannot be extrapolated safely to heavier, more polarisable members of the series.
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Affiliation(s)
- Joseph G Leng
- Institute of Chemical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, UK.
| | - Thomas R Sharples
- Institute of Chemical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, UK.
| | | | - Matthew L Costen
- Institute of Chemical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, UK.
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Kim LY, Lee JH, Kim YT, Park S, Lee CY, Schöllkopf W, Zhao BS. Experimental test of Babinet's principle in matter-wave diffraction. Phys Chem Chem Phys 2021; 23:8030-8036. [PMID: 33587734 DOI: 10.1039/d0cp05694d] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We report on an experimental test of Babinet's principle in quantum reflection of an atom beam from diffraction gratings. The He beam is reflected and diffracted from a square-wave grating at near grazing-incidence conditions. According to Babinet's principle the diffraction peak intensities (except for the specular-reflected beam) are expected to be identical for any pair of gratings of complementary geometry. We observe conditions where Babinet's principle holds and also where it fails. Our data indicate breakdown conditions when either the incident or a diffracted beam propagates close to the grating surface. At these conditions, the incident or the diffracted He beam is strongly affected by the dispersive interaction between the atoms and the grating surface. Babinet's principle is also found to break down, when the complementary grating pair shows a large asymmetry in the strip widths. For very small strip widths, edge diffraction from half planes becomes dominant, whereas for the complementary wide strips the atom-surface interactions leads to a strong reduction of all non-specular diffraction peak intensities.
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Affiliation(s)
- Lee Yeong Kim
- Department of Physics, Ulsan National Institute of Science and Technology (UNIST), Ulsan 44919, Korea.
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Imaging quantum stereodynamics through Fraunhofer scattering of NO radicals with rare-gas atoms. Nat Chem 2016; 9:226-233. [DOI: 10.1038/nchem.2640] [Citation(s) in RCA: 42] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/25/2016] [Accepted: 09/08/2016] [Indexed: 11/08/2022]
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Brouard M, Chadwick H, Gordon SDS, Hornung B, Nichols B, Kłos J, Aoiz FJ, Stolte S. Fully quantum state-resolved inelastic scattering of NO(X) + Kr: Differential cross sections and product rotational alignment. J Chem Phys 2014; 141:164306. [DOI: 10.1063/1.4897558] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- M. Brouard
- The Department of Chemistry, University of Oxford, The Physical and Theoretical Chemistry Laboratory, South Parks Road, Oxford OX1 3QZ, United Kingdom
| | - H. Chadwick
- The Department of Chemistry, University of Oxford, The Physical and Theoretical Chemistry Laboratory, South Parks Road, Oxford OX1 3QZ, United Kingdom
| | - S. D. S. Gordon
- The Department of Chemistry, University of Oxford, The Physical and Theoretical Chemistry Laboratory, South Parks Road, Oxford OX1 3QZ, United Kingdom
| | - B. Hornung
- The Department of Chemistry, University of Oxford, The Physical and Theoretical Chemistry Laboratory, South Parks Road, Oxford OX1 3QZ, United Kingdom
| | - B. Nichols
- The Department of Chemistry, University of Oxford, The Physical and Theoretical Chemistry Laboratory, South Parks Road, Oxford OX1 3QZ, United Kingdom
| | - J. Kłos
- Department of Chemistry and Biochemistry, University of Maryland, College Park, Maryland 20742, USA
| | - F. J. Aoiz
- Departamento de Química Física, Facultad de Química, Universidad Complutense, 28040 Madrid, Spain
| | - S. Stolte
- Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China
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von Zastrow A, Onvlee J, Vogels SN, Groenenboom GC, van der Avoird A, van de Meerakker SYT. State-resolved diffraction oscillations imaged for inelastic collisions of NO radicals with He, Ne and Ar. Nat Chem 2014; 6:216-21. [DOI: 10.1038/nchem.1860] [Citation(s) in RCA: 92] [Impact Index Per Article: 9.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/25/2013] [Accepted: 12/20/2013] [Indexed: 11/09/2022]
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6
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Zhang X, Eyles CJ, Taatjes CA, Ding D, Stolte S. A general scaling rule for the collision energy dependence of a rotationally inelastic differential cross-section and its application to NO(X) + He. Phys Chem Chem Phys 2013; 15:5620-35. [PMID: 23471220 DOI: 10.1039/c3cp50558h] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The quasi-quantum treatment (QQT) (Gijsbertsen et al., J. Am. Chem. Soc., 2006, 128, 8777) provides a physically compelling framework for the evaluation of rotationally inelastic scattering, including the differential cross sections (DCS). In this work the QQT framework is extended to treat the DCS in the classically forbidden region as well as the classically allowed region. Most importantly, the QQT is applied to the collision energy dependence of the angular distributions of these DCSs. This leads to an analytical formalism that reveals a scaling relationship between the DCS calculated at a particular collision energy and the DCS at other collision energies. This scaling is shown to be exact for QM calculated or experimental DCSs if the magnitude of the (kinematic apse frame) underlying scattering amplitude depends solely on the projection of the incoming momentum vector onto the kinematic apse vector. The QM DCSs of the NO(X)-He collision system were found to obey this scaling law nearly perfectly for energies above 63 meV. The mathematical derivation is accompanied by a mechanistic description of the Feynman paths that contribute to the scattering amplitude in the classically allowed and forbidden regions, and the nature of the momentum transfer during the collision process. This scaling relationship highlights the nature of (and limits to) the information that is obtainable from the collision-energy dependence of the DCS, and allows a description of the relevant angular range of the DCSs that embodies this information.
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Affiliation(s)
- Xia Zhang
- Institute of Atomic and Molecular Physics, Jilin University, Changchun, 130012, China
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Eyles CJ, Brouard M, Chadwick H, Hornung B, Nichols B, Yang CH, Kłos J, Aoiz FJ, Gijsbertsen A, Wiskerke AE, Stolte S. Fully Λ-doublet resolved state-to-state differential cross-sections for the inelastic scattering of NO(X) with Ar. Phys Chem Chem Phys 2012; 14:5403-19. [PMID: 22434386 DOI: 10.1039/c2cp23258h] [Citation(s) in RCA: 39] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Fully Λ-doublet resolved state-to-state differential cross-sections (DCSs) for the collisions of the open-shell NO(X, (2)Π(1/2), ν = 0, j = 0.5) molecule with Ar at a collision energy of 530 cm(-1) are presented. Initial state selection of NO(X, (2)Π(1/2), j = 0.5, f) was performed using a hexapole so that the (low field seeking) parity of ε = -1, corresponding to the f component of the Λ-doublet, could be selected uniquely. Although the Λ-doublet levels lie very close in energy to one another and differ only in their relative parities, they exhibit strikingly different DCSs. Both spin-orbit conserving and spin-orbit changing collisions have been studied, and the previously unobserved structures in the fully quantum state-to-state resolved DCSs are shown to depend sensitively on the change in parity of the wavefunction of the NO molecule on collision. In all cases, the experimental data are shown to be in excellent agreement with rigorous quantum mechanical scattering calculations.
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Affiliation(s)
- C J Eyles
- The Department of Chemistry, University of Oxford, The Physical and Theoretical Chemistry Laboratory, South Parks Road, Oxford, OX1 3QZ, UK
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Lemeshko M, Jambrina PG, de Miranda MP, Friedrich B. Communications: When diffraction rules the stereodynamics of rotationally inelastic collisions. J Chem Phys 2010; 132:161102. [DOI: 10.1063/1.3386530] [Citation(s) in RCA: 10] [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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9
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Lemeshko M, Friedrich B. An analytic model of the stereodynamics of rotationally inelastic molecular collisions. Phys Chem Chem Phys 2010; 12:1038-41. [DOI: 10.1039/b920899b] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Lemeshko M, Friedrich B. Model Analysis of Rotationally Inelastic Ar + H2O Scattering in an Electric Field. J Phys Chem A 2009; 113:15055-63. [DOI: 10.1021/jp9051598] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Mikhail Lemeshko
- Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, D-14195 Berlin, Germany
| | - Bretislav Friedrich
- Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, D-14195 Berlin, Germany
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Lemeshko M, Friedrich B. An analytic model of rotationally inelastic collisions of polar molecules in electric fields. J Chem Phys 2008; 129:024301. [DOI: 10.1063/1.2948392] [Citation(s) in RCA: 23] [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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Sanchez-Fortún Stoker J, Dham AK, McCourt FRW, Dickinson AS. Accuracy of recent potential energy surfaces for the He–N2 interaction. II. Molecular beam scattering and bulk gas relaxation phenomena. J Chem Phys 2008; 128:214309. [DOI: 10.1063/1.2928805] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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13
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Dham AK, McCourt FRW, Dickinson AS. Accuracy of recent potential energy surfaces for the He–N2 interaction. I. Virial and bulk transport coefficients. J Chem Phys 2007; 127:054302. [PMID: 17688335 DOI: 10.1063/1.2753483] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022] Open
Abstract
A new exchange-Coulomb semiempirical model potential energy surface for the He-N2 interaction has been developed. Together with two recent high-level ab initio potential energy surfaces, it has been tested for the reliability of its predictions of second-virial coefficients and bulk transport phenomena in binary mixtures of He and N2. The agreement with the relevant available measurements is generally within experimental uncertainty for the exchange-Coulomb surface and the ab initio surface of Patel et al. [J. Chem. Phys. 119, 909 (2003)], but with slightly poorer agreement for the earlier ab initio surface of Hu and Thakkar [J. Chem. Phys. 104, 2541 (1996)].
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Affiliation(s)
- Ashok K Dham
- Department of Chemistry, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
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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: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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15
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Rijks W, Gerritsen M, Wormer P. Computation of the short range repulsion energy from correlated monomer wavefunctions in van der Waals dimers containing He, Ne, and N2. Mol Phys 2006. [DOI: 10.1080/00268978900100641] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
- W. Rijks
- a Institute of Theoretical Chemistry, University of Nijmegen, Toernooiveld , 6525 ED , Nijmegen , The Netherlands
| | - M. Gerritsen
- a Institute of Theoretical Chemistry, University of Nijmegen, Toernooiveld , 6525 ED , Nijmegen , The Netherlands
| | - P.E.S. Wormer
- a Institute of Theoretical Chemistry, University of Nijmegen, Toernooiveld , 6525 ED , Nijmegen , The Netherlands
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Graham AP, Hofmann F, Toennies JP, Manson JR. Helium atom scattering from isolated CO molecules on copper(001). J Chem Phys 1996. [DOI: 10.1063/1.472075] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023] Open
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17
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Gianturco F, Ragnetti F, Faubel M, Martínez-Haya B, Rusin L, Sondermann F, Tappe U. A further test of the shape and anisotropy of the FH2 interaction potential. Chem Phys 1995. [DOI: 10.1016/0301-0104(95)00255-3] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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18
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McCourt FRW, ter Horst MA, Jameson CJ. N2–Kr interaction: A multiproperty analysis. J Chem Phys 1995. [DOI: 10.1063/1.469306] [Citation(s) in RCA: 14] [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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19
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Carré M, Lemoine D. Fully quantum study of the 3D diffractive scattering of He from isolated CO adsorbates on Pt(111). J Chem Phys 1994. [DOI: 10.1063/1.467384] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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McCabe P, Connor JNL, Thylwe K. Complex angular momentum theory of molecular collisions: New phase rules for rotationally inelastic diffraction scattering in atom–homonuclear diatomic molecule collisions. J Chem Phys 1993. [DOI: 10.1063/1.464123] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Faubel M, Rusin LY, Schlemmer S, Sondermann F, Tappe U, Toennies JP. Inelastic F–H2scattering. ACTA ACUST UNITED AC 1993. [DOI: 10.1039/ft9938901475] [Citation(s) in RCA: 24] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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22
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Gianturco F, Palma A, Sanna N. The HeN2 interaction revisited: A comparison of measured and computed differential cross sections. Chem Phys 1991. [DOI: 10.1016/0301-0104(91)87056-2] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Beneventi L, Casavecchia P, Volpi GG, Wong CCK, McCourt FRW, Corey GC, Lemoine D. On the N2–He potential energy surface. J Chem Phys 1991. [DOI: 10.1063/1.461604] [Citation(s) in RCA: 39] [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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Beneventi L, Casavecchia P, Pirani F, Vecchiocattivi F, Volpi GG, Brocks G, van der Avoird A, Heijmen B, Reuss J. The Ne–O2potential energy surface from high‐resolution diffraction and glory scattering experiments and from the Zeeman spectrum. J Chem Phys 1991. [DOI: 10.1063/1.461475] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.0] [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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Thylwe K, Connor JNL. Complex angular momentum analysis of rotationally inelastic diffraction scattering in sudden atom‐homonuclear–molecule collisions. J Chem Phys 1989. [DOI: 10.1063/1.457075] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Tanuma H, Kita S, Kusunoki I, Shimakura N. Rotational and vibrational excitation in the large-angle scattering of Na+ ions from N2 molecules. PHYSICAL REVIEW. A, GENERAL PHYSICS 1988; 38:5053-5065. [PMID: 9900225 DOI: 10.1103/physreva.38.5053] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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28
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Beneventi L, Casavecchia P, Vecchiocattivi F, Volpi GG, Lemoine D, Alexander MH. The Ne–N2potential energy surface from high‐resolution total differential scattering experiments and a close‐coupling and infinite‐order‐sudden analysis. J Chem Phys 1988. [DOI: 10.1063/1.454922] [Citation(s) in RCA: 44] [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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29
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Bowers MS, Tang KT, Toennies JP. The anisotropic potentials of He–N2, Ne–N2, and Ar–N2. J Chem Phys 1988. [DOI: 10.1063/1.454557] [Citation(s) in RCA: 96] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Drolshagen G, Vollmer R. Atom scattering from surfaces with isolated impurities: Calculations for hard wall and soft potentials. J Chem Phys 1987. [DOI: 10.1063/1.452807] [Citation(s) in RCA: 29] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Lahee AM, Manson JR, Toennies JP, Wöll C. Helium atom differential cross sections for scattering from single adsorbed CO molecules on a Pt(111) surface. J Chem Phys 1987. [DOI: 10.1063/1.452321] [Citation(s) in RCA: 104] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Gottwald E, Bergmann K, Schinke R. Supernumerary rotational rainbows in Na2–He, Ne, Ar scattering. J Chem Phys 1987. [DOI: 10.1063/1.452071] [Citation(s) in RCA: 16] [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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34
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Beneventi L, Casavecchia P, Volpi GG. High‐resolution total differential cross sections for scattering of helium by O2, N2, and NO. J Chem Phys 1986. [DOI: 10.1063/1.451389] [Citation(s) in RCA: 102] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Lahee AM, Manson JR, Toennies JP, Wöll C. Observation of interference oscillations in helium scattering from single surface defects. PHYSICAL REVIEW LETTERS 1986; 57:471-474. [PMID: 10034068 DOI: 10.1103/physrevlett.57.471] [Citation(s) in RCA: 48] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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