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Fluctuations of steps at the faces of potassium dihydrophosphate crystals in a solution

  • Low-Dimensional Systems and Surface Physics
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Abstract

The time dependence of the step-displacement fluctuations at the faces of a prism and a bipyramid of potassium dihydrophosphate (KDP) crystals is determined by in situ atomic-force microscopy in the line-by-line scanning mode. It is shown that the build-up of fluctuations follows a t 1/4 law and not a t 1/2 dependence as for a single diffusing particle. Measurements are made during growth and dissolution in the vicinity of the equilibrium position. It is found that the fluctuations at the prism face during dissolution are stronger than those during growth. Voronkov’s theory is used to compute the basic parameters of crystallization and to interpret the obtained results.

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References

  1. M. Giesen-Seibert, R. Jentjenns, M. Poensgen, and H. Ibach, Phys. Rev. Lett. 71(21), 3521 (1993).

    Article  ADS  Google Scholar 

  2. L. Kuipers, M. S. Hoogeman, and J. W. M. Frenken, Phys. Rev. Lett. 71(21), 3517 (1993).

    Article  ADS  Google Scholar 

  3. L. Kuipers, M. S. Hoogeman, J. W. M. Frenken, and H. van Beijeren, Phys. Rev. B 52(15), 11387 (1995).

    Google Scholar 

  4. K. Sudoh, T. Yoshinobu, H. Iwasaki, and E. D. Williams, Phys. Rev. Lett. 80(23), 5152 (1998).

    Article  ADS  Google Scholar 

  5. W. K. Burton, N. Cabrera, and F. C. Frank, Philos. Trans. R. Soc. London, Ser. A 243, 299 (1951).

    ADS  MathSciNet  Google Scholar 

  6. A. Pimpinelli, J. Villain, D. E. Wolf, et al., Surf. Sci. 295, 143 (1993).

    Article  Google Scholar 

  7. T. Ihle, C. Misbah, and O. Pierre-Louis, Phys. Rev. B 58(4), 2289 (1998).

    Article  ADS  Google Scholar 

  8. A. I. Malkin, Y. G. Kuznetsov, T. A. Land, et al., Biophys. J. 72(5), 2357 (1997).

    Google Scholar 

  9. Yu. G. Kuznetsov, A. I. Malkin, and A. McPherson, J. Cryst. Growth 196, 489 (1999).

    Article  Google Scholar 

  10. L. N. Rashkovich, N. V. Gvozdev, and I. V. Yaminskii, Kristallografiya 43(4), 745 (1998) [Crystallogr. Rep. 43, 696 (1998)].

    Google Scholar 

  11. S.-T. Yau, B. R. Thomas, and P. G. Vekilov, Phys. Rev. Lett. 85(2), 353 (2000).

    Article  ADS  Google Scholar 

  12. L. N. Rashkovich, KDP-Family Single Crystals (Adam Hilger, Bristol, 1991).

    Google Scholar 

  13. V. V. Voronkov, in Crystal Growth, Properties, and Applications, Vol. 11: Modern Theory of Crystal Growth I, Ed. by A. A. Chernov and H. Muller-Krumbhaar (Yerevan. Univ., Yerevan, 1975; Springer-Verlag, Berlin, 1983), p.7.

    Google Scholar 

  14. L. N. Rashkovich, O. A. Shustin, and T. G. Chernevich, J. Cryst. Growth 206(3), 252 (1999).

    Article  Google Scholar 

  15. F. Mugele, A. Rettenberger, J. Boneberg, and P. Leiderer, Surf. Sci. 400(1–3), 80 (1998).

    Google Scholar 

  16. L. N. Rashkovich and N. V. Kronsky, J. Cryst. Growth 182, 434 (1997).

    Article  Google Scholar 

  17. A. S. Filonov and I. V. Yaminsky, in Program for Data Processing and Constructions for Probe Microscopy (Advanced Technologies Center, Moscow, 1999), p. 42; http://spm.genebee.msu.su.

    Google Scholar 

  18. N. Cabrera and D. A. Vermilyea, in Growth and Perfection of Crystals (Wiley, New York, 1958), p. 393.

    Google Scholar 

  19. A. A. Chernov, Prog. Cryst. Growth Charact. 26, 121 (1993).

    Google Scholar 

  20. T. A. Land, J. J. De Yoreo, T. L. Martin, and G. T. Palmore, Kristallografiya 44(4), 704 (1999) [Crystallogr. Rep. 44, 655 (1999)].

    Google Scholar 

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Translated from Fizika Tverdogo Tela, Vol. 42, No. 10, 2000, pp. 1869–1873.

Original Russian Text Copyright © 2000 by Rashkovich, Shustin, Chernevich.

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Rashkovich, L.N., Shustin, O.A. & Chernevich, T.G. Fluctuations of steps at the faces of potassium dihydrophosphate crystals in a solution. Phys. Solid State 42, 1921–1926 (2000). https://doi.org/10.1134/1.1318888

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  • DOI: https://doi.org/10.1134/1.1318888

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