State-to-state three-atom time-dependent reactive scattering in hyperspherical coordinates

2013 ◽  
Vol 138 (5) ◽  
pp. 054313 ◽  
Author(s):  
Jeff Crawford ◽  
Gregory A. Parker
Keyword(s):  
Time Dependent ◽  
Reactive Scattering ◽  
Hyperspherical Coordinates

scholarly journals High Order Split Operators for the Time-Dependent Wavepacket method of Triatomic Reactive Scattering in Hyperspherical Coordinates

Entropy ◽  
2019 ◽  
Vol 21 (10) ◽  
pp. 979
Author(s):  
Umair Umer ◽  
Hailin Zhao ◽  
Syed Kazim Usman ◽  
Zhigang Sun
Keyword(s):  
High Order ◽  
Time Dependent ◽  
Reactive Scattering ◽  
Hyperspherical Coordinates ◽  
Total Reaction ◽  
Sine Transform ◽  
Split Operator ◽  
Intermediate States ◽  
The Fourier Transform ◽  
Derivatives Of

Since the introduction of a series of methods for solving the time-dependent Schrödinger equation (TDSE) in the 80s of the last centry, such as the Fourier transform, the split operator (SO), the Chebyshev polynomial propagator, and complex absorbing potential, investigation of the molecular dynamics within quantum mechanics principle have become popular. In this paper, the application of the time-dependent wave packet (TDWP) method using high-order SO propagators in hyperspherical coordinates for solving triatomic reactive scattering was investigated. The fast sine transform was applied to calculate the derivatives of the wave function of the radial degree of freedom. These high-order SO propagators are examined in different forms, i.e., TVT (Kinetic–Potential–Kinetic) and VTV (Potential–Kinetic–Potential) forms with three typical triatomic reactions, H + H 2 , O + O 2 and F + HD. A little difference has been observed among the performances of high-order SO propagators in the TVT and VTV representations in the hyperspherical coordinate. For obtaining total reaction probabilities with 1% error, some of the S class high-order SO propagators, which have symmetric forms, are more efficient than second order SO for reactions involving long lived intermediate states. High order SO propagators are very efficient for obtaining total reaction probabilities.

Theoretical investigations of the Au++H2 reactive scattering by the time-dependent quantum wave packet method

2017 ◽  
Vol 31 (06) ◽  
pp. 1750039 ◽  
Author(s):  
Wentao Lee ◽  
Haixiang He ◽  
Maodu Chen
Keyword(s):  
Wave Packet ◽  
Cross Sections ◽  
Collision Energy ◽  
Time Dependent ◽  
Reactive Scattering ◽  
Total Reaction ◽  
Theoretical Investigations ◽  
Classical Trajectories ◽  
Quantum Wave

Employing the state-to-state time-dependent quantum wave packet method, the Au[Formula: see text]H2 reactive scattering with initial states [Formula: see text], [Formula: see text] and 1 were investigated. Total reaction probabilities, product state-resolved integral cross-sections (ICSs) and differential cross-sections (DCSs) were calculated up to collision energy of 4.5 eV. The numerical results show that total reaction probabilities and ICSs increase with increasing collision energies, and there is little effect to the reactive scattering processes from the rotational excitation of H2 molecule. Below collision energy of around 3.0 eV, the role of the potential well in the entrance channel is significant and the reactive scattering proceeds dominantly by an indirect process, which leads to a nearly symmetric shape of the DCSs. With collision energy higher than 4.0 eV, the reactive scattering proceeds through a direct process, which leads to a forward biased DCSs, and also a hotter rotational distributions of the products. Total ICS agrees with the results by the quasi-classical trajectories theory very well, which suggests that the quantum effects in this reactive process are not obvious. However, the agreement between the experimental total cross-section and our theoretical result is not so good. This may be due to the uncertainty of the experiment or/and the inaccuracy of the potential energy surface.

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