scholarly journals A general non-adiabatic quantum instanton approximation

2020 ◽  
Vol 152 (20) ◽  
pp. 204117 ◽  
Author(s):  
Joseph E. Lawrence ◽  
David E. Manolopoulos
Keyword(s):  
Quantum Instanton

Publisher’s Note: “Semiclassical analysis of the quantum instanton approximation” [J. Chem. Phys. 151, 144111 (2019)]

2019 ◽  
Vol 151 (18) ◽  
pp. 189902
Author(s):  
Christophe L. Vaillant ◽  
Manish J. Thapa ◽  
Jiři Vaniček ◽  
Jeremy O. Richardson
Keyword(s):  
Chem Phys ◽  
Semiclassical Analysis ◽  
Quantum Instanton

scholarly journals Quantum-instanton evaluation of the kinetic isotope effects

2005 ◽  
Vol 123 (5) ◽  
pp. 054108 ◽  
Author(s):  
Jiří Vaníček ◽  
William H. Miller ◽  
Jesús F. Castillo ◽  
F. Javier Aoiz
Keyword(s):  
Isotope Effects ◽  
Kinetic Isotope Effects ◽  
Kinetic Isotope ◽  
Quantum Instanton

scholarly journals Quantum Instanton Evaluations of the Thermal Rate Constants for Complex Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Yi Zhao ◽  
Wenji Wang
Keyword(s):  
Partition Function ◽  
Complex Systems ◽  
Rate Constants ◽  
Potential Energy Surfaces ◽  
Quantum Dynamics ◽  
Quantum Effect ◽  
Theoretical Data ◽  
Reaction Rate Constants ◽  
Energy Surfaces ◽  
Quantum Instanton

Quantum instanton (QI) approximation is recently proposed for the evaluations of the chemical reaction rate constants with use of full dimensional potential energy surfaces. Its strategy is to use the instanton mechanism and to approximate time-dependent quantum dynamics to the imaginary time propagation of the quantities of partition function. It thus incorporates the properties of the instanton idea and the quantum effect of partition function and can be applied to chemical reactions of complex systems. In this paper, we present the QI approach and its applications to several complex systems mainly done by us. The concrete systems include, (1) the reaction of H+CH4→H2+CH3, (2) the reaction of H+SiH4→H2+SiH3, (3) H diffusion on Ni(100) surface; and (4) surface-subsurface transport and interior migration for H/Ni. Available experimental and other theoretical data are also presented for the purpose of comparison.

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