Reversible work transition state theory: application to dissociative adsorption of hydrogen

1994/11/18 by Gregory Mills, Hannes Jónsson, Hannes Jonsson +1 · 2,347 citations
Chemistry · Mathematics · Physics and Astronomy · #Adsorption #Advanced Chemical Physics Studies #Advanced Thermodynamics and Statistical Mechanics #Atomic physics #Catalysis #Chemistry #Degrees of freedom (physics and chemistry) #Desorption #Geometry #Ground state #Hydrogen #Hyperplane #Kinetics #Mathematics #Path integral formulation #Physical chemistry #Physics #Quantum #Quantum mechanics #Quantum tunnelling #Quantum, superfluid, helium dynamics #Reaction rate constant #Sticking coefficient #Sticking probability #Thermodynamics #Transition metal #Transition state #Transition state theory #Work (physics) #chem-ph #physics.chem-ph

paper · pdf · doi:10.1016/0039-6028(94)00731-4

published in Surface Science 324(2-3), 305-337 (Elsevier BV) · Surface Science (in press), 42 pages without figures, tex, 16 postscript figures available via WWW at http://www-theory.chem.washington.edu/~mills/h2cufigures.html

arxiv created 1994/11/18 · openalex publication_date 1995/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A practical method for finding free energy barriers for transitions in high-dimensional classical and quantum systems is presented and used to calculate the dissociative sticking probability of H2 on a metal surface within transition state theory (TST). The reversible work involved in shifting the system confined to a hyperplane from the reactant region towards products is evaluated directly. Quantum mechanical degrees of freedom are included by using Feynman Path Integrals with the hyperplane constraint applied to the centroid of the cyclic paths. An optimal dividing surface for the rate estimated by TST is identified naturally in the course of the reversible work evaluation. The free energy barrier is determined relative to the reactant state directly, so an estimate of the transition rate can be obtained without requiring a solvable reference model for the transition state. The method has been applied to calculations of the sticking probability of a thermalized hydrogen gas on a Cu(110) surface. The two hydrogen atoms were included quantum mechanically, and over two hundred atoms in the Cu crystal where included classically. The activation energy for adsorption and desorption was determined and found to be significantly lowered by tunneling at low temperature. The calculated values agree quite well with experimental estimates. Dynamical corrections to the classical TST rate estimate were evaluated and found to be small.

Citations

• Molecular dynamics simulations at constant pressure and/or temperature

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