RESONANCES IN H+HLi SCATTERING FOR NONZERO TOTAL ANGULAR MOMENTUM (J > 0): A TIME-DEPENDENT WAVE PACKET APPROACH

2006 ◽  
Vol 05 (04) ◽  
pp. 871-885 ◽  
Author(s):  
R. PADMANABAN ◽  
S. MAHAPATRA
Keyword(s):  
Angular Momentum ◽  
Wave Packet ◽  
Total Angular Momentum ◽  
Energy Surface ◽  
Chem Phys ◽  
Time Dependent ◽  
Coriolis Coupling ◽  
Initial State ◽  
Sudden Approximation ◽  
Franck Condon

The resonances in H + HLi scattering for nonzero total angular momentum (J > 0) are examined here by a time-dependent wave packet approach employing an ab initio potential energy surface (PES) [Dunne LJ, Murrell JN, Jemmer P, Chem Phys Lett336: 1, 2001] of the system. The resonances are identified by calculating a set of pseudospectra corresponding to the Franck–Condon transition of a hypothetical initial state to the interaction region of the H + HLi PES. The resonances are characterized by calculating their eigenfunctions and linewidth lifetimes. The resonances for J ≠ 0 are discussed in relation to their counterpart for J = 0. The effect of Coriolis coupling on the resonances obtained from the centrifugal sudden approximation for J = 2 and for K = 0,1,2 is examined.

PHOTODISSOCIATION OF OZONE IN THE HARTLEY BAND: FRAGMENT ROTATIONAL QUANTUM STATE DISTRIBUTIONS

2004 ◽  
Vol 03 (03) ◽  
pp. 443-449 ◽  
Author(s):  
MEI-YU ZHAO ◽  
KE-LI HAN ◽  
GUO-ZHONG HE ◽  
JOHN Z. H. ZHANG
Keyword(s):  
Angular Momentum ◽  
Potential Energy ◽  
Wave Packet ◽  
Total Angular Momentum ◽  
Energy Surface ◽  
Potential Surface ◽  
Rotational State ◽  
Time Dependent ◽  
Correct Treatment ◽  
Hartley Band

In this paper, we have calculated the rotational state distributions following the photodissociation of ozone in the Hartley band with total angular momentum J'=1. The calculated results are obtained by using time-dependent wave packet calculations on the Sheppard–Walker potential energy surface (PES). It is found that the physically more correct treatment with J'=1 semi-quantitatively reproduces the rotational state distributions of the CARS. Compared with the previous theoretical works, which had taken J=0 on both the ground and excited potential surface, J'=1 treatment makes the rotational distributions of the fragment closer to the experimental ones.

Effect of collision energy on cross sections and product alignments for the C(1D) + H2 (v = 0, j = 0) insertion reactions

2010 ◽  
Vol 88 (5) ◽  
pp. 453-457 ◽  
Author(s):  
Lihua Kang ◽  
Bin Dai
Keyword(s):  
Angular Momentum ◽  
Potential Energy ◽  
Potential Energy Surface ◽  
Cross Sections ◽  
Total Angular Momentum ◽  
Collision Energy ◽  
Energy Surface ◽  
Chem Phys ◽  
Classical Trajectory ◽  
Insertion Reactions

Quasi-classical trajectory (QCT) calculations of total reaction probabilities and vibrationally state-resolved reaction probabilities at total angular momentum J = 0 as a function of collision energy for the C(1D) + H2 (v = 0, j = 0) reactions have been performed on an ab initio potential-energy surface [ J. Chem. Phys. 2001, 115, 10701]. In addition, the integral cross sections as a function of collision energy have been carried out for the same reaction. The product rotational alignments have also been calculated, which are almost invariant with respect to collision energies.

A quasi-classical trajectory study of the reagent initial rotation quantum state effect on the reaction He + T2+ → HeT+ + T using an improved ab initio potential energy surface

2012 ◽  
Vol 90 (2) ◽  
pp. 230-236 ◽  
Author(s):  
Ningjiu Zhao ◽  
Yufang Liu
Keyword(s):  
Angular Momentum ◽  
Potential Energy ◽  
Potential Energy Surface ◽  
Quantum Number ◽  
Relative Velocity ◽  
Energy Surface ◽  
Rotational Quantum Number ◽  
Chem Phys ◽  
Classical Trajectory ◽  
Positive Direction

In this work, we employed the quasi-classical trajectory (QCT) method to study the vector correlations and the influence of the reagent initial rotational quantum number j for the reaction He + T2+ (v = 0, j = 0–3) → HeT+ + T on a new potential energy surface (PES). The PES was improved by Aquilanti co-workers (Chem. Phys. Lett. 2009. 469: 26–30). The polarization-dependent differential cross sections (PDDCSs) and the distributions of P(θr), P([Formula: see text]r), and P(θr, [Formula: see text]r) are presented in this work. The plots of the PDDCSs provide us with abundant information about the distribution of the product angular momentum polarization. The P(θr) is used to describe the correlation between k (the relative velocity of the reagent) and j′ (the product rotational angular momentum). The distribution of dihedral angle P([Formula: see text]r) shows the k–k′–j′ (k′ refers to the relative velocity of the product) correlation. The PDDCS calculations illustrate that the product of this reaction is mainly backward scatter and it has the strongest polarization in the backward and sideways scattering directions. At the same time, the results of the P([Formula: see text]r) demonstrate that the product HeT+ tends to be oriented along the positive direction of the y axis and it tends to rotate right-handedly in planes parallel to the scattering plane. Moreover, the distribution of the P(θr) manifests that the product angular momentum is aligned along different directions relative to k. The direction of the product alignment may be perpendicular, opposite, or parallel to k. Moreover, our calculations are independent of the initial rotational quantum number.

Quantum wave-packet studies on ion–molecule reaction with and without Coriolis-coupling effect

2019 ◽  
Vol 97 (8) ◽  
pp. 864-868
Author(s):  
Xian-Long Wang ◽  
Feng Gao ◽  
Ting Xu ◽  
Qing-Tian Meng ◽  
Shou-Bao Gao
Keyword(s):  
Wave Packet ◽  
Collision Energy ◽  
Energy Surface ◽  
Coupling Effect ◽  
Quantum Scattering ◽  
Coriolis Coupling ◽  
Title Reaction ◽  
Molecule Reaction ◽  
Quantum Wave ◽  
Approximation Calculation

The time-dependent quantum scattering calculation with Chebyshev wave packet propagation scheme has been carried out based on an accurate electronic potential energy surface of H2O+(X4A″). Due to the influence of the deep potential well, the reaction probability of [Formula: see text] shows resonance structures regardless of the Coriolis-coupling (CC) effect or centrifugal sudden (CS) approximation. In the range of collision energy 0.0–1.0 eV, the integral cross section obtained by the CS approximation calculation is smaller than that by the CC calculation, which indicates that the CC effect plays a significant role in the title reaction.

The dynamics of the Br + HgBr (v = 0, j = 0) → Br2 + Hg reaction based on quasi-classical trajectory calculations

2018 ◽  
Vol 96 (8) ◽  
pp. 926-932 ◽  
Author(s):  
Guan-Qing Ren ◽  
Ai-Ping Fu ◽  
Shu-Ping Yuan ◽  
Tian-Shu Chu
Keyword(s):  
Angular Momentum ◽  
Cross Sections ◽  
Relative Velocity ◽  
Total Angular Momentum ◽  
Collision Energy ◽  
Energy Surface ◽  
Classical Trajectory ◽  
Title Reaction ◽  
Trajectory Calculations ◽  
Angular Momentum Quantum Number

To investigate the dynamics mechanism of the Br + HgBr → Br2 + Hg reaction, the quasi-classical trajectory calculations are performed on Balabanov’s potential energy surface (PES) of ground electronic state. Both the scalar and vector properties are investigated to recognize the dynamics of the title reaction. Reaction probability for the total angular momentum quantum number J = 0 is determined at the collision energies (denoted as Ec) in a range of 1–25 kcal/mol, and the product vibrational distributions are given and compared between Ec = 20 and 40 kcal/mol. Other calculation values characterizing product polarizations including polarization-dependent differential cross sections (PDDCSs), distributions of P(θr), P([Formula: see text]), and P(θr, [Formula: see text]), are all discussed and compared between the two different collision energies in detail to analyze the alignment and orientation characteristics. It is revealed that the products prefer forward scattering and the PDDCSs are anisotropic in the whole range of the scattering angle. The product rotational angular momentum j′ shows a tendency to align perpendicular to the reagent relative velocity k. In fact, the product polarization of the title reaction is weak at both collision energies. In terms of horizontal comparison, the alignment is slightly stronger but the orientation is even less remarkable at higher collision energy.

THE FAILURE OF CS APPROXIMATION IN QUANTUM REACTION SCATTERING WITH DOUBLE DEEP WELL: TIME-DEPENDENT CALCULATION FOR O + NH REACTION

2005 ◽  
Vol 04 (03) ◽  
pp. 857-865 ◽  
Author(s):  
DONGSHENG WANG ◽  
MINGHUI YANG ◽  
KE-LI HAN ◽  
DONGHUI ZHANG
Keyword(s):  
Wave Packet ◽  
Energy Surface ◽  
Time Dependent ◽  
Propagation Time ◽  
Title Reaction ◽  
Close Coupling ◽  
Deep Well ◽  
Deep Wells ◽  
Quantum Wave ◽  
Quantum Reaction

The present paper shows the failure of CS (centrifugal sudden or coupled states) approximation in the time-dependent (TD) quantum wave packet calculation for the exoergicity reaction O + NH on the 1A′ potential energy surface [Guadagnini, Schatz and Walch, J Chem Phys102:774 (1995)] that has double deep wells. In order to show this, total reaction probabilities and rate constants for the title reaction are presented in this study with the CS approximation and the CC (close-coupling) method, respectively. The results show that by carrying out the wave packet propagation to several picoseconds with the CC method, we can resolve all the resonance features for the title reaction and the differences between the CS and the CC become larger as J becomes larger. When J becomes larger the agreement between the CS and the CC gets progressively worse. The failure of the CS approximation can be explained with the results of double deep wells, which cause long propagation time and make the coupling of K states important.

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