Russian Chemical Bulletin

, Volume 54, Issue 1, pp 16–30 | Cite as

Condensation route of evolution of nanodispersed substances

  • I. V. Melikhov
  • V. E. Bozhevol’nov


Numerous experimental data indicate that nanosystems develop by stages. The evolution route of closed nanosystems includes stages of nanoparticle nucleation, growth, ripening, and agglomeration, and texture and composition ordering. In closed systems, nanodispersed substances occur in the nano-state for a limited period of time, which can be changed by varying the supersaturation of the medium with respect to nanoparticles. Nanoparticles in open systems tend to degrade due to chemical transformations, dissolution, or evaporation and the lifetime of open systems can be estimated. At every stage of development of nanosystems, the rates of variation of the state parameters of nanoparticles fluctuate over a scale much exceeding the molecular scale. The behavior of the set of nanoparticles is described by a Fokker—Planck type equation, which may underlie the formulation of the principal equation of physicochemical evolution of nanosystem.

Key words

nanosystems evolution particle nucleation growth of nanocrystals agglomeration composition and structure ordering Fokker—Planck equation 


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  1. 1.
    M. C. Roco, R. S. Williams, and P. Alivisatos, Nanotechnology Research Directions, I. W. G. N. Workshop Report., Kluwer Acad. Publ., Dordrecht, 2000.Google Scholar
  2. 2.
    A. S. Edelstein and R. C. Camarata, Nanomaterials: Synthesis, Properties and Application, Inst. Physics. Publ., Bristol-Philadelphia, 1996.Google Scholar
  3. 3.
    I. V. Melikhov and V. E. Bozhevolnov, J. Nanoparticle Res., 2003, 5, 465.CrossRefGoogle Scholar
  4. 4.
    Yu. I. Petrov, Klastery i malye chastitsy [Clusters and Small Particles], Nauka, Moscow, 1986 (in Russian).Google Scholar
  5. 5.
    I. V. Kazakova, G. V. Godiyak, Khim. Fizika [Chem. Phys.] 1997, 16, 118 (in Russian).Google Scholar
  6. 6.
    M. Volmer, Kinetik der Phasenbildung, Nh. Steinkopfverb., Dresden-Leipzig, 1939.Google Scholar
  7. 7.
    I. V. Melikhov, E. D. Kozlovskaya, A. M. Kutepov, M. V. Fedotova, V. N. Trosnin, and V. V. Kuznetsov, Kontsentrirovannye i nasyshchennye rastvory [Concentrated and Saturated Solutions], Nauka, Moscow, 2002 (in Russian).Google Scholar
  8. 8.
    V. F. Komarov, A. V. Severin, and I. V. Melikhov, Crystalografiya, 2000, 45, 364 [Crystallogr. Repts, 2000, 45 (Engl. Transl.)].Google Scholar
  9. 9.
    I. V. Melikhov, V. F. Komarov, and Yu. A. Kozel, Kolloid. zh., 1988, 49, 690 [Colloid. J. USSR, 1988, 49 (Engl. Transl.)].Google Scholar
  10. 10.
    D. Balarev, Stroezh na realnokristalnite sistemy, Nauka i izkustvo, Sofia, 1964.Google Scholar
  11. 11.
    N. P. Yushkin, Teoriya microblochnogo rosta crystalov v prirodnykh geterogennykh rastvorakh [Theory of Microblock Crystal Growth in Natural Heterogeneous Solutions], Komi FAN SSSR, Syktyvkar, 1971 (in Russian).Google Scholar
  12. 12.
    I. V. Melikhov and V. G. Pechnikov, Zh. Fiz. Khimii, 1970, 44, 2239 [Russ. J. Phys. Chem., 1970, 44 (Engl. Transl.)].Google Scholar
  13. 13.
    I. V. Melikhov, E. N. Kitova, A. N. Kamenskaya, N. B. Mikheev, and S. A. Kulyukhin, Kolloid. Zh., 1997, 59, 78 [Colloid. J., 1997, 59 (Engl. Transl.)].Google Scholar
  14. 14.
    N. B. Mikheev, I. V. Melikhov, and A. N. Kamenskaya, Radiokhimiya, 1997, 39, 523 [Russ. Radiochem., 1997, 39 (Engl. Transl.)].Google Scholar
  15. 15.
    I. V. Melikhov, S. B. Baronov, and S. S. Berdonosov, Zhurn. Fiz. Khimii, 2004, 78, 1794 [Russ. J. Phys. Chem., 2004, 78 (Engl. Transl.)].Google Scholar
  16. 16.
    I. V. Melikhov, E. D. Kozlovskaya, L. B. Berliner, and M. A. Prokofiev, J. Colloid. Interface Sci., 1987, 117, 1.CrossRefGoogle Scholar
  17. 17.
    I. V. Melikhov, Zh. Fiz. Khimii, 1989, 63, 476 [Russ. J. Phys. Chem., 1989, 63 (Engl. Transl.)].Google Scholar
  18. 18.
    L. B. Berliner and I. V. Melikhov, Teoret. Osnovy Khim. Tekhnologii, 1985, 19, 24 [Theor. Foundations Chem. Technol., 1985, 19 (Engl. Transl.)].Google Scholar
  19. 19.
    I. V. Melikhov and B. D. Nebylitsin, Rost crystallov [Crystal Growth], Izd. Erevanskogo Univ., 1977, 12, 103 (in Russian).Google Scholar
  20. 20.
    O. M. Todes, V. A. Seballo, and A. D. Gol’tsiker, Massovaya Crystalizatsiya iz Rastvorov, Khimiya, Leningrad, 1984 (in Russian).Google Scholar
  21. 21.
    P. H. Singer, Semiconductor International, 1998, 21, 111.Google Scholar
  22. 22.
    I. V. Melikhov and G. Vucovic, Radiochim. Acta, 1998, 77, 83.Google Scholar
  23. 23.
    I. V. Melikhov, V. A. Prisyazhnyuk, Crystalografiya, 1978, 23, 595 [Sov. Phys.-Crystallogr., 1978, 23 (Engl. Transl.)].Google Scholar
  24. 24.
    V. E. Bozhevolnov, L. N. Ivanov, V. K. Kozlov, V. V. Voronov, Yu. P. Timofeev, and V. V. Karelin, Phys. Stat. Sol., 1976, 78, 483.Google Scholar
  25. 25.
    V. V. Karelin, Yu. N. Orlov, V. E. Bozhevol’nov, L. N. Ivanov, Vestn. MGU, Seriya 2. Khimiya, 1981, 22, 63 [Vestn. Mosk. Univ., Ser. Khim., 1981 (Engl. Transl.)].Google Scholar
  26. 26.
    V. I. Aleshin, V. E. Bozhevol’nov, L. N. Ivanov, V. V. Karelin, Izv. Akad. Nauk SSSR, Ser. fiz., 1986, 50, 571 [Bull. Acad. Sci. USSR, Div. Phys. Sci., 1986 (Engl. Transl.)].Google Scholar
  27. 27.
    I. V. Melikhov, V. M. Podkopov, B. A. Ilyin, and E. D. Kozlovskaya, Chem. Eng. Sci., 1996, 51, 671.CrossRefGoogle Scholar
  28. 28.
    R. Kaischev and E. Budevski, Contemp. Phys., 1967, 8, 489.Google Scholar
  29. 29.
    J. D. Wright and N. A. J. M. Sommerdijk, Sol Gel Materials: Chemystry and Applications, Taylor and Francis, New York, 2001.Google Scholar
  30. 30.
    E. I. Suvorova, L. E. Popak, V. F. Komarov, and I. V. Melikhov, Crystalografiya, 2000, 45, 1520 [Crystallogr. Repts, 2000, 45 (Engl. Transl.)].Google Scholar
  31. 31.
    I. V. Melikhov, E. N. Kitova, A. Ya. Gorbachevskii, Yu. D. Perfil’ev, V. P. Shantarovich, I. O. Bogatyrev, I. B. Kevdina, and A. L. Nikolaev, Zh. Fiz. Khim., 1993, 67, 75 [Russ. J. Phys. Chem., 1993, 67 (Engl. Transl.)].Google Scholar
  32. 32.
    I. V. Melikhov, Zh. Vukovich, B. D. Nebylitsin, Zh. Fiz. Khim., 1972, 46, 1952 [Russ. J. Phys. Chem., 1972, 46 (Engl. Transl.)].Google Scholar
  33. 33.
    I. V. Melikhov and M. S. Merkulova, Socrystalizatsiya [Co-Crystallization], Nauka, Moscow, 1975 (in Russian).Google Scholar
  34. 34.
    P. M. Ajayan, L. S. Schlager, and P. V. Braun, Nanocomposite Science and Technology, Willey VCH Verlag, Weinheim, 2003.Google Scholar
  35. 35.
    S. Mann, Biomineralization: Principle and Concepts in Bioinorganic Materials Chemistry, Oxford Univ. Press., Oxford, 2002.Google Scholar
  36. 36.
    G. M. Whitesides, J. P. Mathias, and C. T. Seto, Science, 1991, 254, 1312.Google Scholar
  37. 37.
    I. V. Melikhov and A. S. Kelebeev, Crystalografiya, 1979, 24, 410 [Sov. Phys.-Crystallogr., 1979, 24 (Engl. Transl.)].Google Scholar
  38. 38.
    I. V. Melikhov, A. S. Kelebeev, and S. Bacic, J. Colloid Interface Sci., 1986, 53, 784.Google Scholar
  39. 39.
    I. V. Melikhov, M. Ya. Belousova, N. A. Rudnev, N. T. Buludov, Crystalografiya, 1974, 19, 784 [Sov. Phys.-Crystallogr., 1974, 19 (Engl. Transl.)].Google Scholar
  40. 40.
    V. F. Komarov, A. G. Chaliyan, I. V. Melikhov, Zh. Neorg. Khim., 1966, 41, 533 [J. Inorg. Chem. USSR, 1966, 41 (Engl. Transl.)].Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • I. V. Melikhov
    • 1
  • V. E. Bozhevol’nov
    • 1
  1. 1.Department of ChemistryM. V. Lomonosov Moscow State UniversityMoscowRussian Federation

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