Abstract
We report an application of a previously developed force field for adsorption of hydrocarbons in silicalite (Pascual, P., et al. in Phys. Chem. Chem. Phys. 5:3684–3693, 2003), to the case of the linear alkane-sodium faujasite systems. In order to extend this force field from siliceous to cationic zeolites, we propose to take into account the polarization part of the zeolite-molecule interaction energy. A first order polarization term is explicitly considered for this purpose, using standard molecular polarizabilities. Polarization appears to amount to 30–40% of the zeolite-alkane interaction energy, as a consequence of the strong electric field created by the sodium cation distribution and negatively charged framework. This approach is compared with experimental adsorption isotherms of ethane, propane, n-octane and n-decane in NaY from the literature and with original measurements of n-butane isotherms in NaY obtained by thermal gravimetry. Henry constants and heats of adsorption at zero coverage of n-alkanes (n=6–10) are also compared with experimental measurements. Although no specific parameter has been calibrated for extending the force field, the general agreement between simulation results and experiments is satisfactory. Cation redistribution upon alkane adsorption is not observed in these simulations.
Similar content being viewed by others
Abbreviations
- a i :
-
Torsion parameters
- A :
-
Parameter of Henry constant expression, mol/kg/Pa
- B :
-
Parameter of Henry constant expression
- E i :
-
Local electrical field, J/mol
- ΔG :
-
Gibbs free energy, kJ/mol
- ΔH 0 :
-
Heat of adsorption, kJ/mol
- ΔS 0,local :
-
Entropy of adsorption at low coverage, kJ/mol/K
- f i :
-
Fugacity of molecule i, Pa
- k :
-
Ideal gas constant, J/mol/K
- K H :
-
Henry constant, mol/kg/Pa
- K′:
-
preexponential factor, mol/kg/Pa
- N :
-
Number of adsorbed molecules
- N i :
-
Number of adsorbed molecules i
- p θ :
-
Standard pressure, bar
- r ij :
-
Distance between two centres of force i and j, Å
- T :
-
Temperature, K
- U bend :
-
Bond-bending interaction, J/mol
- \(\bar{U}_{\mathit{ext}\_\mathit{new}}\) :
-
Lennard Jones energy obtained with the United Atom model, J/mol
- U s ext :
-
Intermolecular interactions in the adsorbed phase, J/mol
- U intra :
-
Intramolecular interaction, J/mol
- U LJ :
-
Lennard-Jones potential, J/mol
- U pol :
-
Polarization energy, J/mol
- U tors :
-
Torsion interaction, J/mol
- V :
-
Unit volume, Å3
- W new :
-
Rosenbluth factor
- σ i :
-
Lennard-Jones parameter of the centre of force i, Å
- ε i :
-
Lennard-Jones parameter of the centre of force i, K
- σ ij :
-
Crossing Lennard-Jones parameter between the centre of force i and j, Å
- ε ij :
-
Crossing Lennard-Jones parameter between the centre of force i and j, K
- θ :
-
Bending angle, degree
- φ :
-
Dihedral angle, degree
- α p :
-
Polarizability tensor
- \(\bar{\mu}_{i}\) :
-
Chemical potential
- n T :
-
Number of adsorption sites
References
Abdul-Rehman, H.B., Hasanain, N.A., Loughlin, K.F.: Quaternary, ternary, binary, and pure-component sorption on zeolites. 1. Light alkanes on Linde S-115 silicalite at moderate to high pressures. Ind. Eng. Chem. Res. 29, 1525 (1990)
Atkinson, D., Curthoys, G.: Heats and entropies of adsorption of saturated hydrocarbons by zeolites X and Y. J. Chem. Soc. Faraday Trans. 1 77, 897 (1981)
Beauvais, C., Guerrault, X., Coudert, F.-X., Boutin, A., Fuchs, A.H.: Distribution of sodium cations in faujasite-type zeolite: a canonical parallel tempering simulation study. J. Phys. Chem. B 108, 399 (2004)
Beerdsen, E., Smit, B., Calero, S.: The influence of non-framework sodium cations on the adsorption of alkanes in MFI- and MOR-type zeolites. J. Phys. Chem. B 106, 10659 (2002)
Beerdsen, E., Dubbeldam, D., Smit, B., Vlugt, T.J.H., Calero, S.: Simulating the effect of nonframework cations on the adsorption of alkanes in MFI-type zeolites. J. Phys. Chem. B 107, 12088 (2003)
Bourasseau, E., Ungerer, Ph., Boutin, A., Fuchs, A.H.: Monte Carlo simulation of branched alkanes and long chain n-alkanes with anisotropic united atoms intermolecular potential. Mol. Simul. 28, 317 (2002a)
Bourasseau, E., Ungerer, Ph., Boutin, A.: Prediction of equilibrium properties of cyclic alkanes by Monte Carlo simulation—new anisotropic united atoms potential—new transfer bias method. J. Phys. Chem. B 106, 5483 (2002b)
Bourasseau, E., Haboudou, M., Boutin, A., Fuchs, A.H., Ungerer, Ph.: New optimization method for intermolecular potentials—optimization of a new anisotropic united atoms potential for olefins—prediction of equilibrium properties. J. Chem. Phys. 118, 3020 (2003)
Boutin, A., Buttefey, S., Fuchs, A.H., Cheetham, A.K.: Molecular simulation of adsorption of guest molecules in zeolitic materials: a comparative study of intermolecular potentials. Mol. Simul. 27, 371 (2001)
Boyd, R.H.: An off-lattice constant-pressure simulation of liquid polymethylene. Macromolecules 22, 2477 (1989)
Calero, S., Dubbeldam, D., Krishna, R., Smit, B., Vlugt, T.J.H., Denayer, J.F.M., Martens, J.A., Maesen, T.L.M.: Understanding the role of sodium during adsorption: a force field for alkanes in sodium-exchanged faujasites. J. Am. Chem. Soc. 126(36), 11377 (2004)
Dang, L.X.: Mechanism and thermodynamics of ion selectivity in aqueous solutions of 18-crown-6-ether—a molecular dynamics study. J. Am. Chem. Soc. 117, 6954 (1995)
Delhommelle, J., Millié, P., Fuchs, A.H.: On the role of the definition of potential models in Gibbs ensemble simulations of the H2S-n-pentane mixture. Mol. Phys. 98, 1895 (2000)
Denayer, J.F.M., Baron, G.V.: Adsorption of normal and branched paraffins in faujasite NaY, HY, Pt/NaY and USY. Adsorption 3, 251 (1997)
Denayer, J.F.M., Souverijns, W., Jacobs, P.A., Martens, J.A., Baron, G.V.: High-temperature low-pressure adsorption of branched C5-C8 alkanes on zeolite beta, ZSM-5, ZSM-22, zeolite Y, and mordenite. J. Phys. Chem. B 102, 4588 (1998)
Dubbeldam, D., Calero, S., Vlugt, T.J.H., Krishna, R., Maesen, T.L.M., Smit, B.: United atom force field for alkanes in nanoporous materials. J. Phys. Chem. B 108, 12301 (2004)
Fitch, A.N., Jobic, H., Renouprez, A.: Localization of benzene in sodium-Y zeolite by powder neutron diffraction. J. Phys. Chem. 90, 1311 (1986)
Frenkel, D., Smit, B.: Understanding Molecular Simulation. From Algorithms to Applications. Academic, San Diego (1996)
Fuchs, A.H., Cheetham, A.K.: Adsorption of guest molecules in zeolitic materials: computational aspects. J. Phys. Chem. B 105, 7375 (2001)
Gener, I., Buntinx, G., Bremart, C.: Sorption of biphenyl in non-acidic MFI-type zeolites: spectroscopic and modelling studies. Microporous Mesoporous Mater. 41, 253 (2000)
Hampson, J.A., Rees, L.V.C.: Adsorption of ethane and propane in Silicalite-1 and zeolite NaY: determination of single components, mixture and partial adsorption data using isosteric system. J. Chem. Soc. Trans. 89, 3169 (1993)
Jaramillo, E., Auerbach, S.M.: New force field for Na cations in faujasite-type zeolites. J. Phys. Chem. B 103, 9589 (1999)
Lachet, V., Boutin, A., Tavitian, B., Fuchs, A.H.: Computational study of p-xylene/m-xylene mixtures adsorbed in NaY zeolite. J. Phys. Chem. B 102, 9224 (1998)
Lachet, V., Boutin, A., Tavitian, B., Fuchs, A.H.: Molecular simulation of p-xylene and m-xylene adsorption in Y zeolites, single components and binary mixtures study. Langmuir 15, 8678 (1999)
Lachet, V., Buttefey, S., Boutin, A., Fuchs, A.H.: Molecular simulation of adsorption equilibria of xylene isomer mixtures in faujasite zeolites. A study of cation exchange effect on adsorption selectivity. Phys. Chem. Chem. Phys. 3, 80 (2001)
Loyens, L.D.J.C., Smit, B., Esselink, K.: Parallel Gibbs-ensemble simulations. Mol. Phys. 86, 171 (1995)
Marantzas, V.G., Theodorou, D.N.: Atomistic simulation of polymer melt elasticity: calculation of the free energy of an oriented polymer melt. Macromolecules 31, 6310 (1998)
Mellot, C.F., Cheetham, A.K.: Energetics structures of fluoro- and chlorofluorocarbons in zeolites: force field development and Monte Carlo simulations. J. Phys. Chem. B 103, 3864 (1999)
Pablo, J.J., Laso, M., Suter, U.W.: Simulation of polyethylene above and below the melting point. J. Chem. Phys. 96, 2395 (1992)
Pascual, P., Pernot, P., Ungerer, Ph., Tavitian, B., Boutin, A.: Development of a transferable guest-host force field for adsorption hydrocarbons in zeolites. Reinvestigation of alkanes adsorption in silicalite by grand canonical Monte Carlo simulation. Phys. Chem. Chem. Phys. 5, 3684 (2003)
Pascual, P., Boutin, A., Ungerer, Ph., Tavitian, B., Fuchs, A.H.: Adsorption of hydrocarbons in zeolites from molecular simulations. The alkane–ferrierite system revisited. Chem. Phys. Chem. 6, 2015 (2004)
Pascual, P., Kirsch, H., Boutin, A., Paillaud, J.-L., Soulard, M., Tavitian, B., Faye, D., Fuchs, A.H.: Adsorption of various hydrocarbons in siliceous zeolites: a molecular simulation study. Adsorption 11, 379 (2005)
Ramachandran, C.E., Williams, B.A., van Bokhoven, J.A., Miller, J.T.: Observation of a compensation relation for n-hexane adsorption in zeolites with different structures: implications for catalytic activity. J. Catal. 233, 100 (2005)
Smit, B., Maesen, T.L.M.: Commensurate freezing of alkanes in the channels of a zeolite. Nature 374, 42 (1995)
Smit, B., Siepmann, I.J.: Computer simulations of the energetics and siting of n-alkanes in zeolites. J. Phys. Chem. 98, 8442 (1994)
Smit, B., Karaborni, S., Siepmann, I.J.: Computer simulation of vapor-liquid phase equilibria of n-alkanes. J. Chem. Phys. 102, 2126 (1995)
Stach, H., Lohse, U., Thamm, H., Schirmer, W.: Adsorption equilibria of hydrocarbons on highly dealuminated zeolites. Zeolites 6, 74 (1986)
Sun, M.S., Shah, D.B., Xu, H.H., Talu, O.: Adsorption equilibria of C1 to C4 alkanes, CO2, and SF6 on silicalite. J. Phys. Chem. B 102, 1466 (1998)
Ungerer, Ph., Beauvais, C., Delhommelle, J., Boutin, A., Rousseau, B., Fuchs, A.H.: Optimization of the anisotropic united atoms intermolecular potential for n-alkanes. J. Chem. Phys. 112, 5499 (2000)
Ungerer, Ph., Tavitian, B., Boutin, A.: Applications of Molecular Simulation in the Oil and Gas Industry—Monte Carlo Methods. Editions Technip, Paris (2005)
Uytterhoeven, L., Dompas, D., Mortier, W.J.J.: Theoretical investigations on the interaction of benzene in faujasite. Chem. Soc. Faraday Trans. 18, 2753 (1992)
Vacatello, M., Avitabile, G., Corradini, P., Tuzi, A.: A computer model of molecular arrangement in a n-paraffinic liquid. J. Chem. Phys. 73, 548 (1980)
Vitale, G., Mellot, C.F., Bull, L.M., Cheetham, A.K.: Neutron diffraction and computational study of zeolite NaX: influence of SIII’ cations on its complex with benzene. J. Phys. Chem. B 101, 4559 (1997)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wender, A., Barreau, A., Lefebvre, C. et al. Adsorption of n-alkanes in faujasite zeolites: molecular simulation study and experimental measurements. Adsorption 13, 439–451 (2007). https://doi.org/10.1007/s10450-007-9036-2
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10450-007-9036-2