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Vibrational Convection During the Growth of Crystals

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Growth of Crystals

Part of the book series: Growth of Crystals ((GROC,volume 19))

Abstract

The effect of vibrations on the growth of a crystal has been the subject of many investigations (for example, [1–18]. Experimental data have been obtained regarding the influence of vibrations on the nature of the growth and such parameters and properties of single crystals as the rate of nucleation and crystal growth [1–4], the shape of a freely growing crystal [3, 8], the incorporation of impurities into a crystal [10, 11, 19, 20], its local inhomogeneity [9], and the dislocation density in a crystal [16]. These effects are evident to various degrees over a wide range of intensities and frequencies. The influence on the growth of crystals of vibrations in the ultrasonic (from tens of kHz to several MHz) [1–3,18,19], acoustic (usually tens to hundreds of Hz) [4, 5, 8–11, 16, 17], and even subsonic ranges (from 0.5 to 5 Hz) [6, 7, 15] has been investigated. The displacement amplitudes are usually confined to several micrometers for ultrasound [18] and reach 10–25 mm in experiments on the influence of subsound [6, 7].

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References

  1. V. I. Danilov, Structure and Crystallization of a Liquid: A Collection of Articles [in Russian], Izd. Akad. Nauk SSSR, Kiev (1956).

    Google Scholar 

  2. A. P. Kapustin, Effect of Ultrasound on Crystallization Kinetics [in Russian], Izd. Akad. Nauk SSSR, Moscow (1962).

    Google Scholar 

  3. Kh. S. Bagdasarov, Application of Ultrasound in Industry [in Russian], Mashgiz, Moscow (1959).

    Google Scholar 

  4. A. S. Borshchevskii and D. N. Tret’yakov, “Synthesis of semiconducting materials using vibrational stirring,” Fiz. Tverd. Tela, 1, No. 9, 1483–1485 (1959).

    CAS  Google Scholar 

  5. A. P. Izergin, Yu. S. Pavlenko, and S. A. Stroitelev, “On the effect of vibrations on the shape of Czochralski-grown single crystals,” Izv. Vyssh. Uchebn. Zaved., Ser. Fiz. No. 1, 107–109 (1959).

    Google Scholar 

  6. T. G. Petrov, “Method of growing single crystals,” USSR Pat. No. 136,057.

    Google Scholar 

  7. V. Sip and V. Vanisek, “New items of equipment for the production of monocrystals,” in: Growth of Crystals, Vol. 3, A. V. Shubnikov and N. N. Sheftal’ (eds.), Consultants Bureau, New York (1962), pp. 191–195.

    Google Scholar 

  8. B. Langanecker and W. H. Fransen, “The influence of sound waves on the growth of zinc single crystals,” Philos. Mag., 7, No. 84, 2079–2085 (1962).

    Article  Google Scholar 

  9. G. V. Nikitina, V. N. Romanenko, and V. S. Tuchkevich, “Effect of vibrations on the growth of single crystals of binary systems,” in: Crystallization and Phase Transitions [in Russian], Izd. Akad. Nauk BSSR, Minsk (1962), pp. 379–385.

    Google Scholar 

  10. A. F. Witt and H. C. Gatos, “Determination of microscopic rates of growth in single crystals,” J. Electrochem. Soc., 114, No. 4, 413–414(1967).

    Article  CAS  Google Scholar 

  11. R. S. Feigelson and A. Borshchevsky, “Method of growing single-crystal cadmium telluride,” USA Pat. No. 4,465,545.

    Google Scholar 

  12. V. S. Arakelyan, A. G. Avetisyan, É. G. Mirzabekyan, and F. M. Shaverdyan, “Observation of’ freezing’ of ultrasonic waves,” Pis’ma Zh. Eksp. Teor. Fiz., 27, No. 11, 656–657 (1978).

    Google Scholar 

  13. A. A. Wheeler, “The effect upon Czochralski growth of periodic modulation of the growth rate,” J. Cryst. Growth, 56, No. 1, 67–76 (1982).

    Article  CAS  Google Scholar 

  14. S. M. Manucharyan and H. G. Nalbandyan, “The effect of mechanical instability on crystallization rate in Czochralski growth system,” Cryst. Res. Technol., 17, No. 3, 295–298 (1982).

    Article  CAS  Google Scholar 

  15. M. D. Lyubalin, “Effect of low-frequency deformations of a melt column at an interface on crystal formation,” Izv. Akad. Nauk SSSR, Ser. Fiz., 47, No. 2, 338–341 (1983).

    CAS  Google Scholar 

  16. V. V. Klubovich, I. F. Kashevich, V. V. Mikhnevich, and N. K. Tolochko, “Effect of low-frequency vibrations on the growth of Rochelle salt crystals,” Kristallografiya, 29, No. 4, 822–823 (1984).

    CAS  Google Scholar 

  17. V. V. Klubovich, N. K. Tolochko, and I. F. Kashevich, “Experimental study of the growth of crystals from solution under the influence of vibrations,” Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk, No. 6, 42–47 (1985).

    Google Scholar 

  18. B. A. Agranat, M. N. Dubrovin, and N. N. Khavskii, “Effect of powerful ultrasound on the synthesis and growth of AIIBVI crystals,” Akust. Zh., 22, No. 1, 141–142 (1976).

    Google Scholar 

  19. V. S. Arakelyan and A. G. Avetisyan, “Effect of ultrasound on impurity incorporation into a Rochelle salt crystal,” Kristallografiya, 33, No. 5, 1239–1243 (1988).

    CAS  Google Scholar 

  20. Y. Hayakawa, M. Nagura, and W. Kumagawa, “Exclusion of rotational striations in pulled crystals by improved Czochralski method,” Semicond. Sci. Technol., 3, 372–376 (1988).

    Article  CAS  Google Scholar 

  21. B. A. Agranat, M. N. Dubrovin, N. N. Khavskii, and G. I. Éskin, Principles of Physics and Techniques of Ultrasound [in Russian], Vyssh. Shkola, Moscow (1987).

    Google Scholar 

  22. M. A. Margulis, Principles of Acoustic Chemistry: Chemical Reactions in Acoustical Fields. Textbook [in Russian], Vyssh. Shkola, Moscow (1984).

    Google Scholar 

  23. C. T. Walker and C. E. Adams, “Thermal effects of acoustic streaming near a cylindrical obstacle,” J. Acoust. Soc. Am., 31, No. 6, 813–814(1959).

    Article  Google Scholar 

  24. M. E. Arkhangel’skii, “Effect of acoustic vibrations on diffusion,” Usp. Fiz. Nauk, 92, No. 2, 181–206 (1967).

    CAS  Google Scholar 

  25. V. E. Nakoryakov, A. P. Burdukov, A. M. Boldarev, and P. N. Terleev, Heat and Mass Transfer in an Acoustic Field [in Russian], Inst. Tekh. Fiz., Sib. Otd. Akad. Nauk SSSR, Novosibirsk (1970).

    Google Scholar 

  26. W. L. M. Nyborg, “Acoustic streaming,” in: Physical Acoustics, Vol. 2, Part B, W. P. Mason (ed.), Academic Press, New York and London (1965), pp. 265–331.

    Google Scholar 

  27. H. Schlichting, Boundary Layer Theory, Pergamon Press, London (1955).

    Google Scholar 

  28. V. V. Klubovich, S. E. Mozzharov, N. V. Sobolenko, et al., “Growth of crystals from aqueous solutions under the influence of vibrations,” in: Expanded Abstracts of the VIIth All-Union Conf. on the Growth of Crystals, Vol. 2 [in Russian], Moscow (1988), pp. 114–115.

    Google Scholar 

  29. E. V. Zharikov, L. V. Prikhod’ko, and N. R. Storozhev, “Formation of stationary liquid fluxes under the influence of vibrations of a solid,” preprint No. 18, Inst. Gen. Phys. Acad. Sci., Moscow (1989).

    Google Scholar 

  30. E. V. Zharikov, L. V. Prihod’ko, and N. R. Storozhev, “Bulk flow phenomenon in Czochralski configuration caused by low frequency vibrations,” Cryst. Res. Technol., 24, No. 8, 716–765 (1989).

    Google Scholar 

  31. G. Z. Gershuni and E. M. Zhukhovitskii, “Free thermal convection in a vibration field under weightless conditions,” Dokl. Akad. Nauk SSSR, 249, No. 3, 580–584 (1979).

    Google Scholar 

  32. M. P. Zavarykin, S. V. Zorin, and G. F. Putin, “Experimental study of vibrational convection,” 281, No. 4, 815–816 (1985).

    Google Scholar 

  33. FRG Pat. No. 970,926, Jan. 4, 1948.

    Google Scholar 

  34. V. L. Aref’ ev, S. I. Lukomskii, A. G. Slanov, and A. Ya. Tkachenko, “Use of vibration to intensify liquid stirring: Review,” TsNIII TÉITsM, Moscow (1977).

    Google Scholar 

  35. W.-S. Lieu, M. F. Wolf, D. Elwell, and R. S. Feigelson, “Low frequency vibrational stirring: A new method for rapidly mixing solutions and melts during growth,” J. Cryst. Growth, 82, No. 4, 589–597 (1987).

    Article  Google Scholar 

  36. E. D. Sorokodum, “Acoustic streaming and friction forces in the boundary layer of a Chaplygin profile,” Akust. Zh., 19, No. 5, 767–772 (1973).

    Google Scholar 

  37. L. D. Landau and E. M. Lifshits, Hydrodynamics [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  38. O. M. Belotserkovskii, Numerical Modelling in the Mechanics of Complicated Solutions [in Russian], Nauka, Moscow (1984).

    Google Scholar 

  39. J. R. Carruthers, “Flow transitions and interface shapes in the Czochralski growth of oxide crystals,” J. Cryst. Growth, 36, No. 4, 212–214 (1976).

    Article  CAS  Google Scholar 

  40. V. I. Polezhaev and A. Ch. Prostomolotov, “Numerical study of the hydrodynamics and heat and mass transfer in a model of Czochralski growth of crystals,” in: Mathematical Modelling [in Russian], Nauka, Moscow (1986), pp. 66–75.

    Google Scholar 

  41. R. Lamprecht, D. Schwabe, A. Scharmann, and E. Schultheiss, “Experiments on buoyant, thermocapillary, and forced convection in Czochralski configuration,” J. Cryst. Growth, 65, No. 1/3, 143–152 (1983).

    Article  Google Scholar 

  42. Handbook of Molten Salts, Vol. 1 [Russian translation], Khimiya, Leningrad (1971).

    Google Scholar 

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Zharikov, E.V., Prikhod’ko, L.V., Storozhev, N.R. (1993). Vibrational Convection During the Growth of Crystals. In: Givargizov, E.I., Grinberg, S.A. (eds) Growth of Crystals. Growth of Crystals, vol 19. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2379-6_7

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  • DOI: https://doi.org/10.1007/978-1-4615-2379-6_7

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