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Title: Surface coverage dynamics for reversible dissociative adsorption on finite linear lattices

Journal Article · · Journal of Chemical Physics
DOI: https://doi.org/10.1063/5.0171207 · OSTI ID:2439706

Dissociative adsorption onto a surface introduces dynamic correlations between neighboring sites not found in non-dissociative absorption. We study surface coverage dynamics where reversible dissociative adsorption of dimers occurs on a finite linear lattice. We derive analytic expressions for the equilibrium surface coverage as a function of the number of reactive sites, N, and the ratio of the adsorption and desorption rates. Using these results, we characterize the finite size effect on the equilibrium surface coverage. For comparable N’s, the finite size effect is significantly larger when N is even than when N is odd. Moreover, as N increases, the size effect decays more slowly in the even case than in the odd case. The finite-size effect becomes significant when adsorption and desorption rates are considerably different. These finite-size effects are related to the number of accessible configurations in a finite system where the odd-even dependence arises from the limited number of accessible configurations in the even case. We confirm our analytical results with kinetic Monte Carlo simulations. We also analyze the surface-diffusion case where adsorbed atoms can hop into neighboring sites. As expected, the odd-even dependence disappears because more configurations are accessible in the even case due to surface diffusion.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); National Science Foundation (NSF)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
2439706
Journal Information:
Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 14 Vol. 159; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (27)

Heterogeneous Catalysis journal February 2015
Equivalence of on-lattice stochastic chemical kinetics with the well-mixed chemical master equation in the limit of fast diffusion journal December 2011
Solving the master equation without kinetic Monte Carlo: Tensor train approximations for a CO oxidation model journal June 2016
Realistic multisite lattice-gas modeling and KMC simulation of catalytic surface reactions: Kinetics and multiscale spatial behavior for CO-oxidation on metal (100) surfaces journal December 2013
From Macro- to Nanoscale: Finite Size Effects on Metal–Organic Framework Switchability journal April 2021
Langmuir’s Theory of Adsorption: A Centennial Review journal March 2019
Unraveling the Complexity of Catalytic Reactions via Kinetic Monte Carlo Simulation: Current Status and Frontiers journal November 2012
CO Oxidation on Pd(111): A First-Principles-Based Kinetic Monte Carlo Study journal May 2014
Intramolecular Reaction between Neighboring Substituents of Vinyl Polymers journal June 1939
Finite Size Effects in Submonolayer Catalysts Investigated by CO Electrosorption on Pt sML /Pd(100) journal September 2017
Dissociative Adsorption of NO on TiO 2 (110)-(1 × 2) Surface:  Ti 2 O 3 Rows as Actives Sites for the Adsorption journal July 2007
Hydrogen adsorption on doped MoS2 nanostructures journal November 2017
CO oxidation reaction on Pt(111) studied by the dynamic Monte Carlo method including lateral interactions of adsorbates journal January 2007
Does phenomenological kinetics provide an adequate description of heterogeneous catalytic reactions? journal May 2007
Adlayer inhomogeneity without lateral interactions: Rationalizing correlation effects in CO oxidation at RuO 2 (110) with first-principles kinetic Monte Carlo journal February 2011
Transitions between strongly correlated and random steady-states for catalytic CO-oxidation on surfaces at high-pressure journal April 2015
Nature of intrinsic uncertainties in equilibrium molecular dynamics estimation of shear viscosity for simple and complex fluids journal July 2018
Density-dependent finite system-size effects in equilibrium molecular dynamics estimation of shear viscosity: Hydrodynamic and configurational study journal September 2019
Kinetic Monte Carlo simulations for heterogeneous catalysis: Fundamentals, current status, and challenges journal March 2022
Broken Symmetries journal August 1962
First-principles kinetic Monte Carlo simulations for heterogeneous catalysis: Application to the CO oxidation at Ru O 2 ( 110 ) journal January 2006
Transport limitations and bistability for in situ CO oxidation at RuO 2 ( 110 ) : First-principles based multiscale modeling journal August 2010
Diffusive dynamics of deposition-evaporation systems, jamming, and broken symmetries in related quantum-spin models journal June 1993
Jamming and kinetics of deposition-evaporation systems and associated quantum spin models journal February 1993
Random and cooperative sequential adsorption journal October 1993
Simulations: The dark side journal January 2013
A Practical Guide to Surface Kinetic Monte Carlo Simulations journal April 2019