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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 104, 2006 - Issue 1: A Special Issue in Honour of Professor Mark Child. Special Issue Editor: Jonathan Connor
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Original Articles

Theory of forward glory scattering for chemical reactions: accuracy of semiclassical approximations using a J-shifted Eckart parameterization for the scattering matrix element

Chengkui Xiahou† School of Chemistry, The University of Manchester, Manchester M13 9PL, UKView further author information
&
J. N. L. Connor School of Chemistry, The University of Manchester, Manchester M13 9PL, UKCorrespondence[email protected]
Pages 159-175 | Received 13 Jul 2005, Accepted 12 Aug 2005, Published online: 21 Feb 2007

Citations (29)

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Xiao Shan, Chengkui Xiahou & J. N. L. Connor. (2023) Influence of Regge poles on rainbow angular scattering for state-to-state chemical reactions using Heisenberg’s S matrix programme. Molecular Physics 121:7-8.
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Articles from other publishers (28)

Chengkui Xiahou, J. N. L. Connor, Dario De Fazio & Dmitri Sokolovski. (2024) A single resonance Regge pole dominates the forward-angle scattering of the state-to-state F + H 2 → FH + H reaction at E trans = 62.09 meV . Physical Chemistry Chemical Physics 26:4, pages 3647-3666.
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Jayakrushna Sahoo & S. Mahapatra. (2023) Electronic nonadiabatic effects in the state-to-state dynamics of the H + H 2 → H 2 + H exchange reaction with a vibrationally excited reagent . Physical Chemistry Chemical Physics 25:41, pages 28309-28325.
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Dulat Bostan, Bikramaditya Mandal, Carolin Joy & Dmitri Babikov. (2023) Description of quantum interference using mixed quantum/classical theory of inelastic scattering. Physical Chemistry Chemical Physics 25:23, pages 15683-15692.
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Shihao Li, Yiyang Shu, Zhibing Lu, Chang Luo, Yuxin Tan, Wentao Chen, Xueming Yang & Xingan Wang. (2023) State-to-state reactive dynamics of H+HD→H2+D at 2.20 eV. Fundamental Research.
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Chang Luo, Yuxin Tan, Shihao Li, Zhibing Lu, Yiyang Shu, Wentao Chen, Daofu Yuan, Xueming Yang & Xingan Wang. (2022) Crossed Molecular Beam Study of the H + HD → H 2 + D Reaction at 0.60 and 1.26 eV Using the Near-Threshold Ionization Velocity Map Ion Imaging . The Journal of Physical Chemistry A 126:27, pages 4444-4450.
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Chengkui Xiahou & J. N. L. Connor. (2021) Glories, hidden rainbows and nearside–farside interference effects in the angular scattering of the state-to-state H + HD → H 2 + D reaction . Physical Chemistry Chemical Physics 23:23, pages 13349-13369.
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Chengkui Xiahou, Xiao Shan & J. N. L. Connor. (2019) Application of the Partial Wave QP Decomposition to the Angular Scattering of the State-to-State F + H 2 Reaction at E trans = 0.04088 eV . The Journal of Physical Chemistry A 123:49, pages 10500-10513.
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Chengkui Xiahou, Xiao Shan & J N L Connor. (2019) Rainbows, supernumerary rainbows and interference effects in the angular scattering of chemical reactions: effect of varying the modulus of the S matrix in the context of Heisenberg’s S matrix programme. Physica Scripta 94:6, pages 065401.
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Daofu Yuan, Shengrui Yu, Wentao Chen, Jiwei Sang, Chang Luo, Tao Wang, Xin Xu, Piergiorgio Casavecchia, Xingan Wang, Zhigang Sun, Dong H. Zhang & Xueming Yang. (2018) Direct observation of forward-scattering oscillations in the H+HD→H2+D reaction. Nature Chemistry 10:6, pages 653-658.
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Xiao Shan, Chengkui Xiahou & J. N. L. Connor. (2018) Rainbows, supernumerary rainbows and interference effects in the angular scattering of chemical reactions: an investigation using Heisenberg's S matrix programme . Physical Chemistry Chemical Physics 20:2, pages 819-836.
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Xiao Shan & J. N. L. Connor. (2016) State-to-State F + H 2 Reaction at E trans = 0.04088 eV: QP Decomposition, Parametrized S Matrix Incorporating Regge Poles, and Uniform Asymptotic Complex Angular Momentum Analysis of the Angular Scattering . The Journal of Physical Chemistry A 120:32, pages 6317-6331.
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A. J. Totenhofer, J. N. L. Connor & Gunnar Nyman. (2015) Angular Scattering Dynamics of the CH 4 + Cl → CH 3 + HCl Reaction Using Nearside–Farside, Local Angular Momentum, and Resummation Theories . The Journal of Physical Chemistry B 120:8, pages 2020-2032.
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Marlies Hankel & J. N. L. Connor. (2015) Nearside-farside, local angular momentum and resummation theories: Useful tools for understanding the dynamics of complex-mode reactions. AIP Advances 5:7.
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Hui Wu, Dongyue Liang & Pei-Yu Zhang. (2015) Time-dependent wave packet state-to-state quantum dynamics study of the abstraction reaction S(3P)+H2(v=0, j=0) on 13A″ electronic state. Chemical Physics 453-454, pages 47-53.
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Xiao Shan & J. N. L. Connor. (2014) Application of Heisenberg’s S Matrix Program to the Angular Scattering of the State-to-State F + H 2 Reaction . The Journal of Physical Chemistry A 118:33, pages 6560-6573.
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Chengkui Xiahou & J. N. L. Connor. (2014) The 6Hankel asymptotic approximation for the uniform description of rainbows and glories in the angular scattering of state-to-state chemical reactions: derivation, properties and applications. Phys. Chem. Chem. Phys. 16:21, pages 10095-10111.
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J. N. L. Connor. (2013) Resonance Regge poles and the state-to-state F + H2 reaction: QP decomposition, parametrized S matrix, and semiclassical complex angular momentum analysis of the angular scattering. The Journal of Chemical Physics 138:12.
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Xiao Shan & J. N. L. Connor. (2012) Application of Heisenberg’s S Matrix Program to the Angular Scattering of the H + D 2 ( v i = 0, j i = 0) → HD( v f = 3, j f = 0) + D Reaction: Piecewise S Matrix Elements Using Linear, Quadratic, Step-Function, and Top-Hat Parametrizations . The Journal of Physical Chemistry A 116:46, pages 11414-11426.
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Xiao Shan & J. N. L. Connor. (2012) Semiclassical glory analyses in the time domain for the H + D2( v i = 0, j i = 0) → HD( v f = 3, j f = 0) + D reaction . The Journal of Chemical Physics 136:4.
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Chengkui Xiahou, J. N. L. Connor & Dong H. Zhang. (2011) Rainbows and glories in the angular scattering of the state-to-state F + H2 reaction at Etrans = 0.04088 eV. Physical Chemistry Chemical Physics 13:28, pages 12981.
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Xiao Shan & J. N. L. Connor. (2011) Angular scattering using parameterized Smatrix elements for the H + D 2 (v i = 0, j i = 0) → HD(v f = 3, j f = 0) + D reaction: an example of Heisenberg's Smatrix programme . Phys. Chem. Chem. Phys. 13:18, pages 8392-8406.
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A. J. Totenhofer, C. Noli & J. N. L. Connor. (2010) Dynamics of the I + HI → IH + I reaction: application of nearside–farside, local angular momentum and resummation theories using the Fuller and Hatchell decompositions. Physical Chemistry Chemical Physics 12:31, pages 8772.
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Chengkui Xiahou & J. N. L. Connor. (2009) A New Rainbow: Angular Scattering of the F + H 2 ( v i = 0, j i = 0) → FH( v f = 3, j f = 3) + H Reaction . The Journal of Physical Chemistry A 113:52, pages 15298-15306.
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Marcelo P. de Miranda & Brian K. Kendrick. (2009) Single-Parameter Quantification of the Sensitivity of a Molecular Collision to Molecular Polarization. The Journal of Physical Chemistry A 113:52, pages 14943-14951.
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P. D. D. Monks, J. N. L. Connor & F. Bouakline. (2009) Filtering Reaction Dynamics Using Nearside−Farside Theory and Local Angular Momentum Theory: Application to the Angular Scattering of the H + D 2 ( v i = 0, j i = 0) → HD( v f = 3, j f = 0) + D Reaction in the Energy and Time Domains . The Journal of Physical Chemistry A 113:16, pages 4746-4757.
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D. Sokolovski. (2007) Weak values, “negative probability,” and the uncertainty principle. Physical Review A 76:4.
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P. D. D. Monks, J. N. L. Connor & S. C. Althorpe. (2007) Nearside−Farside and Local Angular Momentum Analyses of Time-Independent Scattering Amplitudes for the H + D 2 ( v i = 0, j i = 0) → HD ( v f = 3, j f = 0) + D Reaction . The Journal of Physical Chemistry A 111:41, pages 10302-10312.
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P. D. D. Monks, Chengkui Xiahou & J. N. L. Connor. (2006) Local angular momentum–local impact parameter analysis: Derivation and properties of the fundamental identity, with applications to the F+H2, H+D2, and Cl+HCl chemical reactions. The Journal of Chemical Physics 125:13.
Crossref

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