Skip to main content
Log in

Fractal dimension of wood surfaces from sorption isotherms

  • Originals
  • Published:
Wood Science and Technology Aims and scope Submit manuscript

Summary

In this paper the method of fractal dimension is applied to characterize the wood surface by using water-sorption data. Three different methods are implemented to determine the fractal dimension. These methods are based on polymolecular sorption and capillary condensation and are found to estimate the fractal dimension in the range of 2.5–2.8. This implies that the estimation of the surface area of wood by determining the number of molecules of water corresponding to monolayer formation is not true. The surface in fact is far from two dimensional as being closer to a three dimensional one.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Adamson, A. W. 1990: Physical chemistry of surfaces. 5th edition. New York: J. Wiley & Sons

    Google Scholar 

  • Avramidis, S. 1986: Nonisothermal diffusion of moisture in wood and Sorption studies. Ph. D. dissertation, State University of New York, College of Environmental Science and Forestry, Syracuse, NY

    Google Scholar 

  • Avramidis, S. 1989: Evaluation of “three-variable” models for the prediction of equilibrium moisture content in wood. Wood. Sci. Technol., 23: 251–258

    Google Scholar 

  • Avramidis, S. 1992: Enthalpy-entropy compensation and thermodynamic considerations in sorption phenomena. Wood Sci. Technol., 26: 329–333

    Google Scholar 

  • Barnsley, M. F.; Devaney, R. L.; Mandelbrot, B.B.; Peitgen, H. O.; Saupe, D.; Voss, R. F. 1988: The science of fractal images. New York: Springer

    Google Scholar 

  • Feder, J. 1988: Fractals. New York: Plenum

    Google Scholar 

  • Fripiat, J. J.; Gatineau, L.; Van Damme, H. 1986: Multylayer physical adsorption on fractal surface. Langmuir, 2: 562–567

    Google Scholar 

  • Hartley, I.; Avramidis, S. 1993: Analysis of the wood sorption isotherm using clustering theory. Holzforschung, 47:163–167

    Google Scholar 

  • Kelsey, K. 1957: The sorption of water vapour by wood. Aust. J. Appl. Sci., 8: 42–54

    Google Scholar 

  • Kutarov, V. V.; Kats, B. M. 1993: Determination of the fractal dimension of ion-exchange fibers from adsorption data. russ. J. Phys. Chem., 67: 1854–1856

    Google Scholar 

  • Mandelbrot, B. B. 1982: The fractal geometry of nature. San Francisco: Freeman Publications.

    Google Scholar 

  • Neimark, A. V. 1990: Determination of the surface fractal dimensionality from the results of an adsorption experiment. russ. J. Phys. Chem., 64: 2593–2605

    Google Scholar 

  • Pfeifer, P. 1986. Fractals in physics. Proc. 6th Int. Symp. ICTP, Trieste. Pietronero, L.; Tasatti, E. (Eds.), Amsterdam: North Holland

    Google Scholar 

  • Pfeifer, P.; Avnir, D. 1983: Chemistry in noninteger dimensions between two and three I. Fractal theory of heterogeneous surfaces. J. Chem. Phys., 79: 3558–3565

    Google Scholar 

  • Siau, J. F. 1984: Transport processes in wood. Springer, Berlin, Heidelberg, New York

    Google Scholar 

  • Skaar, C. 1988: Wood-water relations. Heidelberg: Springer

    Google Scholar 

  • Takayasu, H. 1990: Fractals in the physical sciences. Manchester: Manchester Univ. Press

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hatzikiriakos, S.G., Avramidis, S. Fractal dimension of wood surfaces from sorption isotherms. Wood Sci.Technol. 28, 275–284 (1994). https://doi.org/10.1007/BF00204213

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00204213

Keywords

Navigation