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AVRAMI–KOLMOGOROV–JOHNSON–MEHL KINETICS FOR NANOPARTICLES

VLADIMIR P. ZHDANOV

Department of Applied Physics, Chalmers University of Technology, S-41296 Göteborg, Sweden

Boreskov Institute of Catalysis, Russian Academy of Sciences, Novosibirsk 630090, Russia

https://doi.org/10.1142/S0218625X08011937Cited by:2 (Source: Crossref)

Abstract

In the conventional Avrami–Kolmogorov–Johnson–Mehl model, the reaction or phase transition occurring in the 2D or 3D infinite medium is considered to start and proceed around randomly distributed and/or appearing nucleation centers. The radius of the regions transformed is assumed to linearly increase with time. The Monte Carlo simulations presented, illustrate what may happen if the transformation takes place in nanoparticles. The attention is focused on nucleation on the regular surface, edge and corner sites, and on the dependence of the activation energy for elementary reaction events on the local state of the sites.

Keywords:

PACS: 68.35.Rh, 82.65.+r, 82.40.Np, 82.20.Wt

References

A. N. Kolmogorov, Izv. Acad. Nauk SSSR, Ser. Fiz. 3, 355 (1937). Google Scholar
M. Avrami, J. Chem. Phys. 7, 1103 (1939), DOI: 10.1063/1.1750380. Crossref, Web of Science, ADS, Google Scholar
W. A. Johnson and R. Mehl, Trans. Am. Inst. Min. Metall. Eng. 135, 416 (1939). Google Scholar
Sci. Cit. Ind. (2008) . Google Scholar
V. P. Zhdanov, Phys. Lett. A 179, 419 (1993), DOI: 10.1016/0375-9601(93)90101-5. Crossref, Web of Science, ADS, Google Scholar
M. Tomellini and M. Fanfoni, Surf. Sci. 440, L849 (1999), DOI: 10.1016/S0039-6028(99)00829-8. Crossref, Web of Science, Google Scholar
A. Korobov, Phys. Rev. B 76, 085430 (2007), DOI: 10.1103/PhysRevB.76.085430. Crossref, Web of Science, Google Scholar
M. E. Brown , D. Dollimore and A. K. Galwey , Reactions in the Solid State ( Elsevier , Amsterdam , 1980 ) . Google Scholar
M. C. Weinberg, D. P. Birnie and V. A. Shneidman, J. Non-Cryst. Sol. 219, 89 (1997), DOI: 10.1016/S0022-3093(97)00261-5. Crossref, Web of Science, ADS, Google Scholar
B. R. Stanmore, J. F. Brilhac and P. Gilot, Carbon 39, 2247 (2001), DOI: 10.1016/S0008-6223(01)00109-9. Crossref, Web of Science, Google Scholar
A. Messerer, R. Niessner and U. Pöschl, Carbon 44, 307 (2006), DOI: 10.1016/j.carbon.2005.07.017. Crossref, Web of Science, Google Scholar
N. K. Meyer and Z. D. Ristovski, Environ. Sci. Technol. 41, 7309 (2007), DOI: 10.1021/es062574v. Crossref, Web of Science, ADS, Google Scholar
V. P. Zhdanov, P.-A. Carlsson and B. Kasemo, Chem. Phys. Lett. 454, 341 (2008), DOI: 10.1016/j.cplett.2008.02.047. Crossref, Web of Science, ADS, Google Scholar
M. C. Weinberg, J. Non-Cryst. Sol. 142, 126 (1992), DOI: 10.1016/S0022-3093(05)80015-8. Crossref, Web of Science, ADS, Google Scholar
B. A. Berg and S. Dubey, Phys. Rev. Lett. 100, 165702 (2008), DOI: 10.1103/PhysRevLett.100.165702. Crossref, Web of Science, ADS, Google Scholar
V. P. Zhdanov , Elementary Physicochemical Processes on Solid Surfaces ( Plenum , New York , 1991 ) . Crossref, Google Scholar
V. P. Zhdanov and B. Kasemo, Chem. Phys. Lett. 452, 285 (2008), DOI: 10.1016/j.cplett.2008.01.006. Crossref, Web of Science, ADS, Google Scholar
V. P. Zhdanov and B. Kasemo, Chem. Phys. Lett. 460, 158 (2008), DOI: 10.1016/j.cplett.2008.05.067. Crossref, Web of Science, ADS, Google Scholar