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Updated: Jul 13, 2025

Analysis of Complex Molecules and Their Reactions on Surfaces by Means of Cluster-Induced Desorption/Ionization Mass Spectrometry
Published on: March 1, 2020
Surface coverage dynamics for reversible dissociative adsorption on finite linear lattices.
Enrique Mercado1, Hyun Tae Jung2, Changho Kim1
1Department of Applied Mathematics, University of California, Merced, California 95343, USA.
Surface coverage dynamics reveal that finite lattice size significantly impacts adsorption. An odd-even dependence in surface coverage is observed, influenced by the number of reactive sites and adsorption/desorption rates.
Area of Science:
- Surface Science
- Chemical Kinetics
- Statistical Mechanics
Background:
- Dissociative adsorption introduces dynamic correlations between surface sites.
- Understanding surface coverage dynamics is crucial for catalysis and materials science.
Purpose of the Study:
- To investigate surface coverage dynamics of reversible dissociative adsorption on a finite linear lattice.
- To analyze the influence of finite system size and adsorption/desorption rates on equilibrium surface coverage.
- To explore the impact of surface diffusion on these finite-size effects.
Main Methods:
- Derivation of analytical expressions for equilibrium surface coverage.
- Characterization of finite size effects based on the number of reactive sites (N).
- Validation of analytical results using kinetic Monte Carlo simulations.
Main Results:
- A significant finite size effect on equilibrium surface coverage was identified.
- An odd-even dependence was observed: finite size effects are larger for even N than odd N.
- Surface diffusion diminishes the odd-even dependence by increasing accessible configurations.
Conclusions:
- Finite lattice size and adsorption/desorption rates critically influence surface coverage dynamics.
- The odd-even dependence in finite-size effects is linked to the number of accessible configurations.
- Surface diffusion plays a key role in mitigating finite-size effects in adsorption systems.
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