We propose to apply expanded Wang-Landau simulations to study the adsorption of atomic and molecular fluids in porous materials. This approach relies on a uniform sampling of the number of atoms and molecules adsorbed. The method consists in determining a high-accuracy estimate of the grand-canonical partition function for the adsorbed fluids. Then, using the formalism of statistical mechanics, we calculate absolute and excess thermodynamic properties relevant to adsorption processes. In this paper, we examine the adsorption of argon and carbon dioxide in the isoreticular metal-organic framework (IRMOF-1). We assess the reliability of the method by showing that the predicted adsorption isotherms and isosteric heats are in excellent agreement with simulation results obtained from grand-canonical Monte Carlo simulations. We also show that the proposed method is very efficient since a single expanded Wang-Landau simulation run at a given temperature provides the whole adsorption isotherm. Moreover, this approach provides a direct access to a wide range of thermodynamic properties, such as, e.g., the excess Gibbs free energy and the excess entropy of adsorption.
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14 May 2012
Research Article|
May 11 2012
Evaluation of the grand-canonical partition function using expanded Wang-Landau simulations. II. Adsorption of atomic and molecular fluids in a porous material
Caroline Desgranges;
Caroline Desgranges
Department of Chemistry,
University of North Dakota
, Grand Forks, North Dakota 58202, USA
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Jerome Delhommelle
Jerome Delhommelle
Department of Chemistry,
University of North Dakota
, Grand Forks, North Dakota 58202, USA
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J. Chem. Phys. 136, 184108 (2012)
Article history
Received:
February 21 2012
Accepted:
April 21 2012
Citation
Caroline Desgranges, Jerome Delhommelle; Evaluation of the grand-canonical partition function using expanded Wang-Landau simulations. II. Adsorption of atomic and molecular fluids in a porous material. J. Chem. Phys. 14 May 2012; 136 (18): 184108. https://doi.org/10.1063/1.4712025
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