Abstract
ABOVE a characteristic temperature, the free energy required to form a step on the surface of a growing crystal may fall to zero; the surface then undergoes a transition from smooth (faceted) to irregular (rough) growth. Here we describe studies of the growth of n-C21H44crystals from n-hexane solutions close to the roughening transition. Beginning with equilibrium crystal growth at a temperature slightly above the roughening transition, we introduce progressively greater supersaturations by lowering the temperature. Observations of the growth morphology reveal a transition from rough to smooth growth, followed at greater supersaturations by a transition back to rough growth. To our knowledge, such a sequence of rough–smooth–rough crystal growth has not been reported before. Our measurements of the step free energy of the {110} faces indicate that it vanishes discontinuously at the equilibrium roughening transition temperature, in contrast to the continuous (critical) behaviour predicted by theoretical models1–11
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References
Burton, W. K. & Cabrera, N. Discuss. Faraday Soc. 5, 33–40 (1949).
Burton, W. K., Cabrera, N. & Frank, F. C. Phil. Trans. R. Soc. A243, 299–358 (1951).
Onsager, L. Phys. Rev. 45, 117–149 (1944).
van Beijeren, H. Phys. Rev. Lett. 38, 993–996 (1977).
van der Eerden, J. P. & Knops, H. J. F. Phys. Lett. A66, 334–336 (1978).
Temkin, D. E. in Crystallization Processes (Consultants Bureau, New York, 1966).
Swendsen, R. H. Phys. Rev. B15, 5421–5431 (1977).
Kosterlitz, J. M. & Thouless, D. J. J. Phys. C6, 1181–1203 (1973).
Kosterlitz, J. M. J. Phys. C7, 1046–1060 (1974).
Wolf, P. E. et al. J. Phys. 46, 1987–2007 (1985).
Noziėres, P. & Gallet, F. J. Phys. 48, 353–367 (1987).
Gilmer, G. H. & Bennema, P. J. Cryst Growth 13/14, 148–153 (1972); J. appl. Phys. 43, 1347–1360 (1972).
de Haan, S. W. H. et al. J. Cryst Growth 24/25, 491–494 (1974).
Quirke, N. & Jaccucci, G. Surf. Sci. 144, 92–95 (1984).
Ong, C. K., Tan, A. K. & Tan, H. S. J. Phys. C21, 3655–3661 (1988).
Weeks, J. D. & Gilmer, G. H. Adv. chem. Phys. 40, 157–228 (1979).
Gallet, F., Balibar, S. & Rolley, E. J. Phys. 48, 369–377 (1987).
Lipson, S. G. & Polturak, E. in Progress in Low Temperature Physics (ed. Brewer, D. F.) 128–188 (Elsevier, 1987).
Pavlovska, A. & Nenow, D. J. Cryst. Growth 39, 346–352 (1977).
Pavlovska, A. J. Cryst. Growth 46, 551–556 (1979).
Nenow, D. & Stoyanova, V. J. Cryst. Growth 46, 779–782 (1979).
Avron, J. E. et al. Phys. Rev. Lett. 45, 814–817 (1980).
Ohachi, T. & Taniguchi, I. J. Cryst. Growth 65, 84–88 (1983).
Jackson, K. A. & Miller, C. E. J. Cryst. Growth 40, 169–172 (1977).
Camel, D., Lesoult, G. & Eustathopoulos, N. J. Cryst Growth 53, 327–336 (1981).
Bennema, P. & Gilmer, G. H. in Crystal Growth: an Introduction (ed. Hartman, P.) 263–327 (North Holland, Amsterdam, 1973).
Bennema, P. & van der Eerden, J. P. in Morphology of Crystals (ed. Sunagawa, I.) 1–75 (Terra, Tokyo, 1987).
Elwenspoek, M. & van der Eerden, J. P. J. Phys. A20, 669–678 (1987).
Elwenspoek, M. & Boerhof, W. Phys. Rev. B36, 5326–5329 (1987).
Liu, X. Y. & Bennema, P. J. Cryst. Growth (submitted).
Broadhurst, M. G. J. Res. natn. Bureau Standard A66, 241–249 (1962).
Smith, A. E. J. chem. Phys. 21, 2229–2231 (1953).
Bennema, P. et al. J. Cryst. Growth (in the press).
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Liu, XY., Bennema, P. & van der Eerden, J. Rough–flat–rough transition of crystal surfaces. Nature 356, 778–780 (1992). https://doi.org/10.1038/356778a0
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DOI: https://doi.org/10.1038/356778a0
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