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Capillary condensation in mesoporous silica with surface roughness

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Abstract

We construct an atomistic silica pore model mimicking templated mesoporous silica MCM-41, which has molecular-level surface roughness, with the aid of the electron density profile (EDP) of MCM-41 obtained from X-ray diffraction data. Then, we present the GCMC simulations of argon adsorption on our atomistic silica pore models for two different MCM-41 samples at 75, 80, and 87 K, and the results are compared with the experimental adsorption data. We demonstrate that accurate molecular modeling of the pore structure of MCM-41 by using the experimental EDP allows the prediction of experimental capillary evaporation pressures at all investigated temperatures. The experimental desorption branches of the two MCM-41 samples are in good agreement with equilibrium vapor–liquid transition pressures from the simulations, which suggests that the experimental desorption branch for the open-ended cylindrical pores is in thermodynamic equilibrium.

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References

  • Agrawal, R., Kofke, D.A.: Thermodynamic and structural-properties of model systems at solid–fluid coexistence. 2. Melting and sublimation of the Lennard-Jones system. Mol. Phys. 85, 43–59 (1995)

    Article  CAS  Google Scholar 

  • Bakaev, V.A., Steele, W.A., Bakaeva, T.I., Pantano, C.G.: Adsorption of CO2 and Ar on glass surfaces. Computer simulation and experimental study. J. Chem. Phys. 111, 9813–9821 (1999)

    Article  CAS  Google Scholar 

  • Bhattacharya, S., Coasne, B., Hung, F.R., Gubbins, K.E.: Modeling micelle-templated mesoporous material SBA-15: atomistic model and gas adsorption studies. Langmuir 25, 5802–5813 (2009)

    Article  CAS  Google Scholar 

  • Ciesla, U., Schuth, F.: Ordered mesoporous materials. Microprous Mesoporous Mater. 27, 131–149 (1999)

    Article  CAS  Google Scholar 

  • Coasne, B., Pellenq, R.J.M.: Grand canonical Monte Carlo simulation of argon adsorption at the surface of silica nanopores: effect of pore size, pore morphology, and surface roughness. J. Chem. Phys. 120, 2913–2922 (2004a)

    Article  CAS  Google Scholar 

  • Coasne, B., Pellenq, R.J.M.: A grand canonical Monte Carlo study of capillary condensation in mesoporous media: effect of the pore morphology and topology. J. Chem. Phys. 121, 3767–3774 (2004b)

    Article  CAS  Google Scholar 

  • Coasne, B., Ugliengo, P.: Atomistic model of micelle-templated mesoporous silicas: structural, morphological, and adsorption properties. Langmuir 28, 11131–11141 (2012)

    Article  CAS  Google Scholar 

  • Coasne, B., Galarneau, A., Di Renzo, F., Pellenq, R.J.M.: Gas adsorption in mesoporous micelle-templated silicas: MCM-41, MCM-48, and SBA-15. Langmuir 22, 11097–11105 (2006a)

    Article  CAS  Google Scholar 

  • Coasne, B., Hung, F.R., Pellenq, R.J.M., Siperstein, F.R., Gubbins, K.E.: Adsorption of sample gases in MCM-41 materials: the role of surface roughness. Langmuir 22, 194–202 (2006b)

    Article  CAS  Google Scholar 

  • Coasne, B., Galarneau, A., Di Renzo, F., Pellenq, R.J.M.: Effect of morphological defects on gas adsorption in nanoporous silicas. J. Phys. Chem. C 111, 15759–15770 (2007)

    Article  CAS  Google Scholar 

  • Coasne, B., Di Renzo, F., Galarneau, A., Pellenq, R.J.M.: Adsorption of simple fluid on silica surface and nanopore: effect of surface chemistry and pore shape. Langmuir 24, 7285–7293 (2008a)

    Article  CAS  Google Scholar 

  • Coasne, B., Galarneau, A., Di Renzo, F., Pellenq, R.J.M.: Molecular simulation of adsorption and intrusion in nanopores. Adsorption 14, 215–221 (2008b)

    Article  CAS  Google Scholar 

  • Coasne, B., Galarneau, A., Di Renzo, F., Pellenq, R.J.M.: Molecular simulation of nitrogen adsorption in nanoporous silica. Langmuir 26, 10872–10881 (2010)

    Article  CAS  Google Scholar 

  • Corma, A.: From microporous to mesoporous molecular sieve materials and their use in catalysis. Chem. Rev. 97, 2373–2419 (1997)

    Article  CAS  Google Scholar 

  • Edler, K.J., Reynolds, P.A., White, J.W., Cookson, D.: Diffuse wall structure and narrow mesopores in highly crystalline MCM-41 materials studied by X-ray diffraction. J. Chem. Soc. Faraday Trans. 93, 199–202 (1997)

    Google Scholar 

  • Gelb, L.D., Gubbins, K.E., Radhakrishnan, R., Sliwinska-Bartkowiak, M.: Phase separation in confined systems. Rep. Prog. Phys. 62, 1573–1659 (1999)

    Article  CAS  Google Scholar 

  • Gommes, C.J., Friedrich, H., Wolters, M., de Jongh, P.E., de Jong, K.P.: Quantitative characterization of pore corrugation in ordered mesoporous materials using image analysis of electron tomograms. Chem. Mater. 21, 1311–1317 (2009)

    Article  CAS  Google Scholar 

  • He, Y.F., Seaton, N.A.: Experimental and computer simulation studies of the adsorption of ethane, carbon dioxide, and their binary mixtures in MCM-41. Langmuir 19, 10132–10138 (2003)

    Article  CAS  Google Scholar 

  • Hofmann, T., Wallacher, D., Huber, P., Birringer, R., Knorr, K., Schreiber, A., Findenegg, G.H.: Small-angle X-ray diffraction of Kr in mesoporous silica: effects of microporosity and surface roughness. Phys. Rev. B 72, 064122-1–064122-7 (2005)

    Google Scholar 

  • Hung, F.R., Bhattacharya, S., Coasne, B., Thommes, M., Gubbins, K.E.: Argon and krypton adsorption on templated mesoporous silicas: molecular simulation and experiment. Adsorption 13, 425–437 (2007)

    Article  CAS  Google Scholar 

  • Imperor-Clerc, M., Davidson, P., Davidson, A.: Existence of a microporous corona around the mesopores of silica-based SBA-15 materials templated by triblock copolymers. J. Am. Chem. Soc. 122, 11925–11933 (2000)

    Article  CAS  Google Scholar 

  • Kanda, H., Miyahara, M., Higashitani, K.: Condensation model for cylindrical nanopores applied to realistic porous glass generated by molecular simulation. Langmuir 16, 6064–6066 (2000a)

    Article  CAS  Google Scholar 

  • Kanda, H., Miyahara, M., Yoshioka, T., Okazaki, M.: Verification of the condensation model for cylindrical nanopores. Analysis of the nitrogen isotherm for FSM-16. Langmuir 16, 6622–6627 (2000b)

    Article  CAS  Google Scholar 

  • Kresge, C.T., Leonowicz, M.E., Roth, W.J., Vartuli, J.C., Beck, J.S.: Ordered mesoporous molecular-sieves synthesized by a liquid-crystal template mechanism. Nature 359, 710–712 (1992)

    Article  CAS  Google Scholar 

  • Maddox, M.W., Olivier, J.P., Gubbins, K.E.: Characterization of MCM-41 using molecular simulation: heterogeneity effects. Langmuir 13, 1737–1745 (1997)

    Article  CAS  Google Scholar 

  • Miyahara, M., Kanda, H., Yoshioka, T., Okazaki, M.: Modeling capillary condensation in cylindrical nanopores: a molecular dynamics study. Langmuir 16, 4293–4299 (2000)

    Article  CAS  Google Scholar 

  • Miyasaka, K., Neimark, A.V., Terasaki, O.: Density functional theory of in situ synchrotron powder X-ray diffraction on mesoporous crystals: argon adsorption on MCM-41. J. Phys. Chem. C 113, 791–794 (2009)

    Article  CAS  Google Scholar 

  • Monson, P.A.: Understanding adsorption/desorption hysteresis for fluids in mesoporous materials using simple molecular models and classical density functional theory. Microporous Mesoporous Mater. 160, 47–66 (2012)

    Article  CAS  Google Scholar 

  • Morishige, K., Ishino, M.: Lower closure point of adsorption hysteresis in ordered mesoporous silicas. Langmuir 23, 11021–11026 (2007)

    Article  CAS  Google Scholar 

  • Morishige, K., Ito, M.: Capillary condensation of nitrogen in MCM-41 and SBA-15. J. Chem. Phys. 117, 8036–8041 (2002)

    Article  CAS  Google Scholar 

  • Morishige, K., Nakamura, Y.: Nature of adsorption and desorption branches in cylindrical pores. Langmuir 20, 4503–4506 (2004)

    Article  CAS  Google Scholar 

  • Morishige, K., Fujii, H., Uga, M., Kinukawa, D.: Capillary critical point of argon, nitrogen, oxygen, ethylene, and carbon dioxide in MCM-41. Langmuir 13, 3494–3498 (1997)

    Article  CAS  Google Scholar 

  • Muroyama, N., Ohsuna, T., Ryoo, R., Kubota, Y., Terasaki, O.: An analytical approach to determine the pore shape and size of MCM-41 materials from X-ray diffraction data. J. Phys. Chem. B 110, 10630–10635 (2006)

    Article  CAS  Google Scholar 

  • Muroyama, N., Yoshimura, A., Kubota, Y., Miyasaka, K., Ohsuna, T., Ryoo, R., Ravikovitch, P.I., Neimark, A.V., Takata, M., Terasaki, O.: Argon adsorption on MCM-41 mesoporous crystal studied by in situ synchrotron powder X-ray diffraction. J. Phys. Chem. C 112, 10803–10813 (2008)

    Article  CAS  Google Scholar 

  • Neimark, A.V., Vishnyakov, A.: Gauge cell method for simulation studies of phase transitions in confined systems. Phys. Rev. E 62, 4611–4622 (2000)

    Article  CAS  Google Scholar 

  • Neimark, A.V., Ravikovitch, P.I., Vishnyakov, A.: Adsorption hysteresis in nanopores. Phys. Rev. E 62, R1493–R1496 (2000)

    Article  CAS  Google Scholar 

  • Neimark, A.V., Ravikovitch, P.I., Vishnyakov, A.: Bridging scales from molecular simulations to classical thermodynamics: density functional theory of capillary condensation in nanopores. J. Phys. Condens. Matter 15, 347–365 (2003)

    Article  CAS  Google Scholar 

  • Peterson, B.K., Gubbins, K.E.: Phase-transitions in a cylindrical pore—grand canonical Monte-Carlo, mean field-theory and the Kelvin equation. Mol. Phys. 62, 215–226 (1987)

    Article  CAS  Google Scholar 

  • Peterson, B.K., Walton, J., Gubbins, K.E.: Fluid behavior in narrow pores. J. Chem. Soc. Faraday Trans. II(82), 1789–1800 (1986)

    Google Scholar 

  • Ravikovitch, P.I., Neimark, A.V.: Density functional theory model of adsorption on amorphous and microporous silica materials. Langmuir 22, 11171–11179 (2006)

    Google Scholar 

  • Ravikovitch, P.I., Vishnyakov, A., Neimark, A.V.: Density functional theories and molecular simulations of adsorption and phase transitions in nanopores. Phys. Rev. E 64, 011602-1–011602-20 (2001)

    Google Scholar 

  • Ravikovitch, P.I., Odomhnaill, S.C., Neimark, A.V., Schuth, F., Unger, K.K.: Capillary hysteresis in nanopores: theoretical and experimental studies of nitrogen adsorption on MCM-41. Langmuir 11, 4765–4772 (1995)

    Article  CAS  Google Scholar 

  • Ravikovitch, P.I., Haller, G.L., Neimark, A.V.: Density functional theory model for calculating pore size distributions: pore structure of nanoporous catalysts. Adv. Colloid Interface Sci. 76, 203–226 (1998)

    Article  Google Scholar 

  • Rosenfeld, Y.: Free-energy model for the inhomogeneous hard-sphere fluid mixture and density-functional theory of freezing. Phys. Rev. Lett. 63, 980–983 (1989)

    Article  CAS  Google Scholar 

  • Schumacher, C., Gonzalez, J., Wright, P.A., Seaton, N.A.: Generation of atomistic models of periodic mesoporous silica by kinetic Monte Carlo simulation of the synthesis of the material. J. Phys. Chem. B 110, 319–333 (2006)

    Article  CAS  Google Scholar 

  • Siperstein, F.R., Gubbins, K.E.: Phase separation and liquid crystal self-assembly in surfactant-inorganic-solvent systems. Langmuir 19, 2049–2057 (2003)

    Article  CAS  Google Scholar 

  • Soler-Illia, G.J.D., Sanchez, C., Lebeau, B., Patarin, J.: Chemical strategies to design textured materials: from microporous and mesoporous oxides to nanonetworks and hierarchical structures. Chem. Rev. 102, 4093–4138 (2002)

    Article  Google Scholar 

  • Sonwane, C.G., Jones, C.W., Ludovice, P.J.: A model for the structure of MCM-41 incorporating surface roughness. J. Phys. Chem. B 109, 23395–23404 (2005)

    Article  CAS  Google Scholar 

  • Tarazona, P.: Free-energy density functional for hard-spheres. Phys. Rev. A 31, 2672–2679 (1985)

    Article  CAS  Google Scholar 

  • Tarazona, P., Marconi, U.M.B., Evans, R.: Phase-equilibria of fluid interfaces and confined fluids—nonlocal versus local density functionals. Mol. Phys. 60, 573–595 (1987)

    Article  CAS  Google Scholar 

  • Vanbeest, B.W.H., Kramer, G.J., Vansanten, R.A.: Force-fields for silicas and aluminophosphates based on abinitio calculations. Phys. Rev. Lett. 64, 1955–1958 (1990)

    Article  CAS  Google Scholar 

  • Vishnyakov, A., Neimark, A.V.: Studies of liquid–vapor equilibria, criticality, and spinodal transitions in nanopores by the gauge cell Monte Carlo simulation method. J. Phys. Chem. B 105, 7009–7020 (2001)

    Article  CAS  Google Scholar 

  • Zhao, D.Y., Feng, J.L., Huo, Q.S., Melosh, N., Fredrickson, G.H., Chmelka, B.F., Stucky, G.D.: Triblock copolymer syntheses of mesoporous silica with periodic 50 to 300 angstrom pores. Science 279, 548–552 (1998)

    Article  CAS  Google Scholar 

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Acknowledgments

The authors are grateful to Prof. A. Matsumoto of Toyohashi University of Technology, Prof. T. Okubo, Prof. A. Shimojima, and Dr. M. Kubo of The University of Tokyo, for donating the MCM-41 samples. H. T. thanks Dr N. Muroyama for fruitful discussions. This work was financially supported by a Grant-in-Aid for Scientific Research (B) 24360318 from MEXT.

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Correspondence to Minoru T. Miyahara.

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Tanaka, H., Hiratsuka, T., Nishiyama, N. et al. Capillary condensation in mesoporous silica with surface roughness. Adsorption 19, 631–641 (2013). https://doi.org/10.1007/s10450-013-9486-7

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