Abstract
In this letter we report that, at the molecular-size range, the surfaces of most materials are fractals, that is, at this range, surface geometric irregularities and defects are characteristically self-similar upon variations of resolution. The whole range of fractal dimension1, 2⩽D<3, is found in the many examples presented. Two representative examples, namely adsorption of polystyrene on alumina and adsorption of krypton on dolomite are discussed in some detail. Our findings suggest a simple solution to the problem of quantifying the degree of surface irregularity2,3 at a resolution which is of relevance to many aspects of surface science. The results provide a general explanation for phenomenological links between various surface parameters, and we derive a set of equations of use in predicting surface variables.
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References
Mandelbrot, B. B. The Fractal Geometry of Nature (Freeman, San Francisco, 1982).
Avnir, D. & Pfeifer, P. Nouv. J. Chim. 7, 71–72 (1983).
Pfeifer, P. & Avnir, D. J. chem. Phys. 79, 3558–3565 (1983).
Beddow, J.K. & Meloy, T.P. (eds) Advanced Paniculate Morphology (CRC, Florida, 1977).
Lovejoy, S. Science 216, 185–187 (1982).
Paumgartner, D., Losa, G. & Weibel, E. R. J. Microsc. 121, 51–63 (1981).
Kaye, B. H. Direct Characterization of Fine Particles (Wiley, New York, 1981).
Berry, M. V. & Hannay, J. H. Nature 273, 573 (1978).
Burrough, P. A. Nature 294, 240–242 (1981).
Allen, J. P., Calvin, J. T., Stinson, D. G., Flynn, C. P. & Stapelton, H. J. Biophys. J. 38, 299–310 (1982).
Avnir, D., Farin, D. & Pfeifer, P. J. chem. Phys. 79, 3566–3571 (1983).
Burns, H. Jr & Carpenter, D. K. Macromolecules 1, 384–390 (1968).
Love, K. S. & Whittaker, C. W. Agr. Food. Chem. 2, 1268–1272 (1954).
Carnahan, C. L., Castagnola, D. C. & Smith, M. E. U.S. Atomic Energy Comm. NVO-1229–98 (1968).
Urano, K., Omori, S. & Yamamoto, E. Env. Sci. Tech. 16, 10–14 (1982).
Cohen, W. H. & Knight, B. H. J. Soc. Chem. Ind. 66, 357–364 (1947).
Suzuki, S. et al. Ferrites, 556–560 (Tokyo, 1980).
Corn, M. et al. Am. ind. Hygiene J. 34, 279–285 (1973).
Cartwright, J., Wheatley, K. & Sing, K. S. W. J. appl. Chem. 8, 259–264 (1958).
Girgis, B. S. & Girgis, L. G. Powder Tech. 7, 85–91 (1973).
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Avnir, D., Farin, D. & Pfeifer, P. Molecular fractal surfaces. Nature 308, 261–263 (1984). https://doi.org/10.1038/308261a0
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DOI: https://doi.org/10.1038/308261a0
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