Skip to main content
SpringerLink
Log in

Application of the LBET class models to describe the structure of microporous activated carbons on the basis of argon and benzene adsorption isotherms

  • Published:
Adsorption Aims and scope Submit manuscript

Abstract

The reported research is concerned with the properties of the new LBET class models designed to describe the heterogeneous adsorption on microporous carbonaceous materials. In particular, the new adsorption models were applied to a computer analysis of the microporous structure of two active carbons on the basis of argon and benzene adsorption isotherms. This paper provides for more thorough information on the properties of the proposed models and identification technique presented in the earlier papers.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

m p :

Amount of adsorbate

m hA :

Number of primary sites

θ kj :

Coverage ratio of jth layer at kth type clusters

θ :

Coverage ratio of the layers above the first layer

π :

Relative pressure

α :

Geometrical parameter of the porous structure

β :

Pore shape parameter

B Ak ,B fk :

Energy parameters

Q cp :

Molar adhesion energy in ideal adsorbent-adsorbate contacts

Q A :

First layer adsorption energy Q L =Q A /RT

R :

Gas constant

T :

Temperature

Z f θ :

Averaged value of upper boundary parameter of the distribution function range

Z fk :

Distribution function range

V hA :

Volume of the first adsorption layer

Z A ,Z C :

Correction factors of energy

w id :

Identifiability index

σe min  and σe opt:

Standard deviation error of the best fitting

σ e opt :

Sequence of increasing deviation error of the ten well fitted models

References

  • Aranovich, G.L., Donohue, M.D.: Vapor adsorption on microporous adsorbents. Carbon 38, 701–708 (2000)

    Article  CAS  Google Scholar 

  • Cao, D., Wang, W., Shen, Z., Chen, J.: Determination of pore size distribution and adsorption of methane and CCl on activated carbon by molecular simulation. Carbon 40, 2359–2365 (2002)

    Article  CAS  Google Scholar 

  • Choma, J.: Mikroporowate adsorbenty węglowe w ujęciu zmodyfikowanej zależności potencjałowej teorii adsorpcji. Przem. Chem. 62(11), 634–637 (1983)

    CAS  Google Scholar 

  • Dubinin, M.M.: The potential theory of adsorption of gases and vapors for adsorbents with energetically non-uniform surfaces. Chem. Rev. 60, 235–241 (1960)

    Article  CAS  Google Scholar 

  • Dubinin, M.M.: Fundamentals of the theory of adsorption in micropores of carbon adsorbents characteristics of their adsorption properties and microporous structures. Carbon 27, 457–467 (1989)

    Article  CAS  Google Scholar 

  • Dubinin, M.M., Astakhov, V.A.: Description of adsorption equilibrium of vapors on zeolites over wide ranges of temperatures and pressure. Adv. Chem. Ser. 102, 69–85 (1971)

    Article  CAS  Google Scholar 

  • Duda, J.T., Milewska-Duda, J., Kwiatkowski, M.: Evaluation of adsorption energy distribution of miscroporous materials by a multivariant identification. Appl. Surf. Sci. 252, 570–581 (2005a)

    Article  CAS  Google Scholar 

  • Duda, J.T., Kwiatkowski, M., Milewska-Duda, J.: Computer modeling and analysis of heterogeneous structures of microporous carbonaceous materials. J. Mol. Model. 11(4–5), 416–430 (2005b)

    Article  CAS  Google Scholar 

  • Erdem-Senatalar, A., Tatller, M., Sirkecioglu, A.: The relationship of the geometric factor in the Dubinin–Astakhov isotherm equation with the fractal dimension. Colloids Surf. A: Physicochem. Eng. Aspects 173, 51–59 (2000)

    Article  CAS  Google Scholar 

  • Gil, A.: Analysis of the micropore structure of various microporous materials from nitrogen adsorption at 77 K. Adsorption 4, 197–206 (1998)

    Article  CAS  Google Scholar 

  • Gil, A., Grange, P.: Application of the Dubinin–Radushkevich and Dubinin–Astakhov equations in the characterization of microporous solids. Colloids Surf. A: Physicochem. Eng. Aspects 113, 39–50 (1996)

    Article  CAS  Google Scholar 

  • Gomez-Serrano, V., Gonzalez-Garcia, C.M., Gonzalez-Martin, M.L.: Nitrogen adsorption isotherms on carbonaceous materials. Comparison of BET and Langmuir surface areas. Powder Technol. 11, 6103–6108 (2001)

    Google Scholar 

  • Gregg, S.J., Sing, K.S.W.: In: Adsorption, Surface Area and Porosity, pp. 7–297. Academic Press, London (1967)

    Google Scholar 

  • Jaroniec, M., Madey, R., Choma, J., McEnaney, B., Mays, T.J.: Comparison of adsorption methods for characterizing the microporosity of activated carbons. Carbon 27, 77–83 (1989)

    Article  Google Scholar 

  • Klinik, J.: The comparison of various methods used for the determination of mesopore structure of porous solids. In: Rouquerol, J., Rodriguez-Reinoso, F., Sing, K.S.W., Unger, K.K. (eds.) Studies in Surface Science and Catalysis Characterisation of Porous Solids III Proceedings of the UPAC Symposium, pp. 119–128. Elsevier, Amsterdam (1994)

    Google Scholar 

  • Kwiatkowski, M.: Computer analysis of microporous structure by employing the LBET class models with various variants of the adsorption energy distribution in comparison to the classical equations. Langmuir 23, 2569–2581 (2007a)

    Article  CAS  Google Scholar 

  • Kwiatkowski, M.: Comparison of the evaluation reliability of microporous structure parameters by employing single and double adsorption isotherms. Colloids Surf. A: Physicochem. Eng. Aspects 294, 92–101 (2007b)

    Article  CAS  Google Scholar 

  • Milewska-Duda, J., Duda, J., Jodłowski, G., Kwiatkowski, M.: A model for multilayer adsorption of small molecules in microporous materials. Langmuir 16, 7294–7303 (2000)

    Article  CAS  Google Scholar 

  • Nicholson, D.: Simulation study of nitrogen adsorption in parallel-sided micropores with corrugated potential functions. J. Chem. Soc. Faraday Trans. 90, 181–185 (1994)

    Article  CAS  Google Scholar 

  • Puziy, A.M., Volkov, V.V., Poznayeva, O.I., Bogillo, V.I., Shkilev, V.P.: Comparison of various numerical procedures for analysis of structural heterogeneity. Langmuir 13, 1303–1306 (1997)

    Article  CAS  Google Scholar 

  • Rodrıguez-Reinosou, F., Molina-Sabio, M.: Textural and chemical characterization of microporous carbons. Adv. Colloid Interface Sci. 76–77, 271–294 (1998)

    Article  Google Scholar 

  • Rudziński, W., Everett, D.H.: Adsorption of Gases on Heterogeneous Surfaces. Academic Press, London (1992)

    Google Scholar 

  • Ryu, Z., Zheng, J., Wang, M., Zhang, B.: Characterization of pore size distributions on carbonaceous adsorbents by DFT. Carbon 37, 1257–1264 (1999)

    Article  CAS  Google Scholar 

  • Sánchez-Montero, M.J., Herdes, C., Salvador, F., Vega, L.F.: New insights into the adsorption isotherm interpretation by a coupled molecular simulation—experimental procedure. Appl. Surf. Sci. 252(3), 519–528 (2005)

    Article  CAS  Google Scholar 

  • Sing, K.: The use of nitrogen adsorption for the characterisation of porous materials. Colloids Surf. A: Physicochem. Eng. Aspects 187–188, 3–9 (2001)

    Article  Google Scholar 

  • Shahsavand, A., Ahmadpour, A.: Application of optimal RBF neural networks for optimization and characterization of porous materials. Comput. Chem. Eng. 29(10), 2134–2143 (2005)

    Article  CAS  Google Scholar 

  • Storck, S., Bretinger, H., Maier, W.F.: Characterization of micro- and mesoporous solids by physisorption methods and pore-size analysis. Appl. Catal. A Gen. 174, 137–146 (1998)

    Article  CAS  Google Scholar 

  • Suzuki, T., Kaneko, K., Setoyama, N., Maddox, M., Gubbins, K.: Grand Canonical Monte Carlo Simulation for nitrogen adsorption in graphic slit micropores: effect of interlayer distance. Carbon 34, 909–912 (1996)

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Fuels and Energy, AGH-University of Science and Technology, Al. Mickiewicza 30, 30-059, Krakow, Poland

    Mirosław Kwiatkowski

Authors
  1. Mirosław Kwiatkowski
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mirosław Kwiatkowski.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kwiatkowski, M. Application of the LBET class models to describe the structure of microporous activated carbons on the basis of argon and benzene adsorption isotherms. Adsorption 14, 37–53 (2008). https://doi.org/10.1007/s10450-007-9044-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10450-007-9044-2

Keywords

Search

Navigation