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Volumn 312, Issue 7, 2010, Pages 1046-1054

Transition from nucleation to ripening in the classical nucleation model

Author keywords

A1. Computer simulation; A1. Nucleation; A2. Growth from solutions

Indexed keywords

A1. COMPUTER SIMULATION; A2. GROWTH FROM SOLUTIONS; CLASSICAL NUCLEATION; CLUSTER SIZES; CLUSTER-SIZE DISTRIBUTION; GROWTH FROM SOLUTION; INITIAL STAGES; NUCLEATION STAGES; NUMERICAL INTEGRATIONS; SINGLE VARIABLE; SURFACE FREE ENERGY; TIME EVOLUTIONS; TRANSITION POINT;

EID: 77249145304     PISSN: 00220248     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcrysgro.2010.01.017     Document Type: Article
Times cited : (23)

References (22)
  • 1
    • 77249129107 scopus 로고    scopus 로고
    • The classical nucleation model was first formulated by L. Farkas [Z. Phys. Chem. 125 (1927) 236] based on the idea of L. Szilard. The exact steady-state solution of the model was provided by Becker and Döring, and the model is sometimes called Becker-Döring model. Analysis for the case of time-dependent monomer number was first given by D. Kashchiev [Surf. Sci. 18 (1969) 293]. See Ref. [12] for a brief history of the classical nucleation model.
    • The classical nucleation model was first formulated by L. Farkas [Z. Phys. Chem. 125 (1927) 236] based on the idea of L. Szilard. The exact steady-state solution of the model was provided by Becker and Döring, and the model is sometimes called Becker-Döring model. Analysis for the case of time-dependent monomer number was first given by D. Kashchiev [Surf. Sci. 18 (1969) 293]. See Ref. [12] for a brief history of the classical nucleation model.
  • 11
    • 77249137404 scopus 로고    scopus 로고
    • note
    • Here we have simple condensation and evaporation (or deposition and dissolution) in mind, It is straightforward to extend this treatment to other systems by changing the exponent to frac(1, 2) (for two dimensions), to frac(1, 3) (for a diffusion-limited system) or to 0 (for a diffusion-limited system in two dimensions).
  • 12
    • 8344274270 scopus 로고
    • H. Ehrenreich, D. Turnbull Eds, Academic, New York
    • K.F. Kelton, in: H. Ehrenreich, D. Turnbull (Eds.), Solid State Physics, vol. 45, Academic, New York, 1991, pp. 75-177.
    • (1991) Solid State Physics , vol.45 , pp. 75-177
    • Kelton, K.F.1
  • 13
    • 77956674927 scopus 로고    scopus 로고
    • H. Ehrenreich, F. Spaepen Eds, Academic, New York
    • D.T. Wu, in: H. Ehrenreich, F. Spaepen (Eds.), Solid State Physics, vol. 50, Academic, New York, 1996, pp. 37-187.
    • (1996) Solid State Physics , vol.50 , pp. 37-187
    • Wu, D.T.1
  • 17
    • 77249134720 scopus 로고    scopus 로고
    • note
    • These values are taken from the direct numerical result, though they can be predicted from the standard nucleation theory with good accuracy.
  • 20
    • 77249177733 scopus 로고    scopus 로고
    • note
    • 1 enters explicitly so that the problem becomes analytically intractable. If the supersaturation is not too high, the critical sizes in both models are the same, and we may neglect this complication.
  • 21
    • 57949091020 scopus 로고    scopus 로고
    • note
    • After submission of the paper, we learned that a similar numerical integration of the CN model has been published: Z. Kožíšek and P. Demo, Aerosol Sci. 40 (2009) 44. The authors found the qualitative features of the intermediate stage reported in the present paper, although the connection to the final stage are not clearly explained in their paper. Our simulation results were first reported in the 15th International Conference on Crystal Growth (2007) (Abstract No. 345) prior to the publication of the above paper.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.