Quantum theory of enhanced unimolecular reaction rates below the ergodicity threshold

被引:21
作者
Leitner, David M.
Wolynes, Peter G.
机构
[1] Univ Nevada, Dept Chem, Reno, NV 89557 USA
[2] Univ Nevada, Chem Phys Program, Reno, NV 89557 USA
[3] Univ Calif San Diego, Dept Chem & Biochem, La Jolla, CA 92093 USA
[4] Univ Calif San Diego, Dept Phys, La Jolla, CA 92093 USA
关键词
quantum energy flow; unimolecular reaction kinetics;
D O I
10.1016/j.chemphys.2006.05.013
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
A variety of unimolecular reactions exhibit measured rates that exceed Rice-Ramsperger-Kassel-Marcus (RRKM) predictions. We show using the local random matrix theory (LRMT) of vibrational energy flow how the quantum localization of the vibrational states of a molecule, by violating the ergodicity assumption, can give rise to such an enhancement of the apparent reaction rate. We present an illustrative calculation using LRMT for a model 12-vibrational mode organic molecule to show that below the ergodicity threshold the reaction rate may exceed many times the RRKM prediction due to quantum localization of vibrational states. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:163 / 167
页数:5
相关论文
共 44 条
[1]   Influence of vibrational energy flow on isomerization of flexible molecules: Incorporating non-Rice-Ramsperger-Kassel-Marcus kinetics in the simulation of dipeptide isomerization [J].
Agbo, JK ;
Leitner, DM ;
Evans, DA ;
Wales, DJ .
JOURNAL OF CHEMICAL PHYSICS, 2005, 123 (12)
[2]   EVALUATED KINETIC AND PHOTOCHEMICAL DATA FOR ATMOSPHERIC CHEMISTRY SUPPLEMENT-IV - IUPAC SUBCOMMITTEE ON GAS KINETIC DATA EVALUATION FOR ATMOSPHERIC CHEMISTRY [J].
ATKINSON, R ;
BAULCH, DL ;
COX, RA ;
HAMPSON, RF ;
KERR, JA ;
TROE, J .
JOURNAL OF PHYSICAL AND CHEMICAL REFERENCE DATA, 1992, 21 (06) :1125-1568
[3]   Non-statistical chemical reactions: The isomerization over low barriers in methyl and ethyl cyclohexanones [J].
Baer, T ;
Potts, AR .
JOURNAL OF PHYSICAL CHEMISTRY A, 2000, 104 (42) :9397-9402
[4]   HOW ACCURATE IS THE RICE-RAMSPERGER-KASSEL-MARCUS THEORY - THE CASE OF H-3(+) [J].
BERBLINGER, M ;
SCHLIER, C .
JOURNAL OF CHEMICAL PHYSICS, 1994, 101 (06) :4750-4758
[5]   REACTION-RATE FOR ISOMERIZATION IN A MOLECULAR-BEAM [J].
BERNE, BJ .
CHEMICAL PHYSICS LETTERS, 1984, 107 (02) :131-135
[6]   A SIMPLE MATRIX MODEL OF INTRAMOLECULAR VIBRATIONAL REDISTRIBUTION AND ITS IMPLICATIONS [J].
BIGWOOD, R ;
GRUEBELE, M .
CHEMICAL PHYSICS LETTERS, 1995, 235 (5-6) :604-613
[7]   The vibrational energy flow transition in organic molecules: Theory meets experiment [J].
Bigwood, R ;
Gruebele, M ;
Leitner, DM ;
Wolynes, PG .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1998, 95 (11) :5960-5964
[8]   RANDOM-MATRIX PHYSICS - SPECTRUM AND STRENGTH FLUCTUATIONS [J].
BRODY, TA ;
FLORES, J ;
FRENCH, JB ;
MELLO, PA ;
PANDEY, A ;
WONG, SSM .
REVIEWS OF MODERN PHYSICS, 1981, 53 (03) :385-479
[9]   Nonstatistical dynamics in thermal reactions of polyatomic molecules [J].
Carpenter, BK .
ANNUAL REVIEW OF PHYSICAL CHEMISTRY, 2005, 56 :57-89
[10]  
FIELD RW, 1994, PROG THEOR PHYS SUPP, P143, DOI 10.1143/PTPS.116.143