Toward a better description of the nucleation rate of crystals and crystalline monolayers

Journal of Chemical Physics

Volumn 129, Issue 16, 2008, Pages

  Kashchiev, Dimo ^a  

^a INSTITUTE OF PHYSICAL CHEMISTRY   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS; ATOMS; BINDING SITES; COMPUTATIONAL METHODS; CRYSTALLINE MATERIALS; CRYSTALLOGRAPHY; CRYSTALS; ELECTRON ENERGY LEVELS; MONOMERS; NUCLEAR ENERGY; NUCLEATION; POTENTIAL ENERGY; POWDERS; SINGLE CRYSTALS; SUPERSATURATION; SURFACE CHEMISTRY; SURFACE TENSION; THREE DIMENSIONAL; TWO DIMENSIONAL;

CLASSICAL NUCLEATION THEORIES; EXPERIMENTAL DATUMS; KOSSEL CRYSTALS; LINEAR PORTIONS; NUCLEATION RATES; NUCLEATION THEORIES; NUCLEUS SIZES; QUANTITATIVE DESCRIPTIONS; SIMULATION DATUMS; SIMULATION RESULTS; STATIONARY NUCLEATION RATES; SURFACE ENERGIES; UNKNOWN PARAMETERS;

BINDING ENERGY;

EID: 55349095013     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2996505     Document Type: Article

References (65)

1. Author's translation of "Man könnte die Frage stellen, ob es sinnvoll ist, Betrachtungen an derartigen schematisierten Modellen anzustellen. Darauf muss geantwortet werden, dass das prinzipiell Wichtige bei den Vorgangen das Wachstums und Auflösens an Kristallen auch am einfachsten Modell zu erkennen sein muss, ganz unabhängig davon, ob das gedanklich konstruierte Modell in der Natur realisiert ist oder nicht, wenn es nur frei von inneren Widersprüchen ist." (Ref., p. 104).
2. I. N. Stranski and R. Kaischew, Z. Phys. Chem. Abt. B 26, 100 (1934).
3. R. Kaischew and I. N. Stranski, Z. Phys. Chem. Abt. B 26, 114 (1934).
4. I. N. Stranski and R. Kaischew, Z. Phys. Chem. Abt. B 26, 312 (1934).
5. R. Kaischew and I. N. Stranski, Z. Phys. Chem. Abt. B 26, 317 (1934).
6. R. Kaischew and I. N. Stranski, Z. Phys. Chem. Abt. A 170, 295 (1934).
7. K. Huang, Statistical Mechanics (Wiley, New York, 1963).
8. R. Becker and W. Döring, Ann. Phys. (Leipzig) 0003-4916 24, 719 (1935).
9. M. Volmer, Kinetik der Phasenbildung (Steinkopff, Dresden, 1939).
10. G. H. Gilmer and P. Bennema, J. Appl. Phys. 0021-8979 10.1063/1.1661325 43, 1347 (1972).
11. C. van Leeuwen, R. van Rosmalen, and P. Bennema, Surf. Sci. 0039-6028 10.1016/0039-6028(74)90103-4 44, 213 (1974).
12. D. Kashchiev, J. P. van der Eerden, and C. van Leeuwen, J. Cryst. Growth 0022-0248 10.1016/0022-0248(77)90030-6 40, 47 (1977).
13. J. D. Weeks and G. H. Gilmer, Adv. Chem. Phys. 40, 157 (1979). 0065-2385
14. R. A. Ramos, P. A. Rikvold, and M. A. Novotny, Phys. Rev. B 0163-1829 10.1103/PhysRevB.59.9053 59, 9053 (1999).
15. P. -M. Lam, D. Bayayoko, and X. -Y. Hu, Surf. Sci. 0039-6028 10.1016/S0039-6028(99)00361-1 429, 161 (1999).
16. V. A. Shneidman, K. A. Jackson, and K. M. Beatty, J. Chem. Phys. 0021-9606 10.1063/1.479985 111, 6932 (1999).
17. V. A. Shneidman, K. A. Jackson, and K. M. Beatty, J. Cryst. Growth 0022-0248 10.1016/S0022-0248(00)00024-5 212, 564 (2000).
18. S. Wonczak, R. Strey, and D. Stauffer, J. Chem. Phys. 0021-9606 10.1063/1.482003 113, 1976 (2000).
19. J. H. ter Horst and P. J. Jansens, Surf. Sci. 0039-6028 10.1016/j.susc.2004.10.020 574, 77 (2005).
20. J. H. ter Horst and D. Kashchiev, J. Chem. Phys. 0021-9606 10.1063/1.2039076 123, 114507 (2005).
21. K. Brendel, G. T. Barkema, and H. van Beijeren, AIP Conf. Proc. 0094-243X 10.1063/1.2138592 800, 39 (2005).
22. K. Brendel, G. T. Barkema, and H. van Beijeren, Phys. Rev. E 1063-651X 10.1103/PhysRevE.71.031601 71, 031601 (2005).
23. V. M. Kaganer, K. H. Ploog, and K. K. Sabelfeld, Phys. Rev. B 0163-1829 10.1103/PhysRevB.73.115425 73, 115425 (2006).
24. V. M. Kaganer, W. Braun, and K. K. Sabelfeld, Phys. Rev. B 0163-1829 10.1103/PhysRevB.76.075415 76, 075415 (2007).
25. B. J. Kooi, Phys. Rev. B 0163-1829 10.1103/PhysRevB.77.024303 77, 024303 (2008).
26. J. H. ter Horst and D. Kashchiev, J. Phys. Chem. B 1089-5647 10.1021/jp800865p 112, 8614 (2008).
27. R. Kaischew, Acta Phys. Acad. Sci. Hung. 8, 75 (1957).
28. R. Kaischew, Z. Elektrochem. 61, 35 (1957).
29. A. E. Nielsen, Kinetics of Precipitation (Pergamon, Oxford, 1964).
30. A. G. Walton, in Nucleation, edited by, A. C. Zettlemoyer, (Dekker, New York, 1969), p. 225.
31. D. Kashchiev, Nucleation: Basic Theory with Applications (Butterworth-Heinemann, Oxford, 2000).
32. D. Walton, J. Chem. Phys. 0021-9606 10.1063/1.1732985 37, 2182 (1962).
33. D. Walton, in Nucleation, edited by, A. C. Zettlemoyer, (Dekker, New York, 1969), p. 379.
34. S. Stoyanov, Thin Solid Films 0040-6090 10.1016/0040-6090(73)90225-3 18, 91 (1973).
35. B. Lewis, J. Cryst. Growth 0022-0248 10.1016/0022-0248(74)90146-8 21, 29 (1974).
36. B. Lewis, in Crystal Growth, edited by, B. R. Pamplin, (Pergamon, Oxford, 1975), p. 12.
37. B. Lewis and J. C. Anderson, Nucleation and Growth of Thin Films (Academic, New York, 1978).
38. S. Stoyanov, in Current Topics in Materials Science, edited by, E. Kaldis, (North-Holland, Amsterdam, 1979), Vol. 3, p. 421.
39. A. Milchev, S. Stoyanov, and R. Kaischew, Thin Solid Films 0040-6090 10.1016/0040-6090(74)90296-X 22, 255 (1974).
40. A. Milchev, S. Stoyanov, and R. Kaischew, Thin Solid Films 0040-6090 10.1016/0040-6090(74)90297-1 22, 267 (1974).
41. A. Milchev, Contemp. Phys. 0010-7514 10.1080/00107519108223705 32, 321 (1991).
42. A. Milchev, Electrocrystallization: Fundamentals of Nucleation and Growth (Kluwer, Boston, 2002).
43. V. A. Shneidman and G. M. Nita, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.89.025701 89, 025701 (2002).
44. V. A. Shneidman and G. M. Nita, Phys. Rev. E 1063-651X 10.1103/PhysRevE.68.021605 68, 021605 (2003).
45. V. A. Shneidman and G. M. Nita, J. Chem. Phys. 0021-9606 10.1063/1.1814080 121, 11232 (2004).
46. V. A. Shneidman and G. M. Nita, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.97.065703 97, 065703 (2006).
47. V. A. Shneidman, J. Stat. Phys. 0022-4715 10.1023/A:1023687822656 112, 293 (2003).
48. V. A. Shneidman, New J. Phys. 1367-2630 10.1088/1367-2630/7/1/012 7, 12 (2005).
49. E. J. Neves and R. H. Schonmann, Commun. Math. Phys. 0010-3616 10.1007/BF02431878 137, 209 (1991).
50. V. A. Shneidman, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.95.115701 95, 115701 (2005).
51. L. Farkas, Z. Phys. Chem. 125, 236 (1927). 0942-9352
52. M. Blander and J. L. Katz, J. Stat. Phys. 0022-4715 10.1007/BF01008471 4, 55 (1972).
53. S. L. Girshick and C. -P. Chiu, J. Chem. Phys. 0021-9606 10.1063/1.459191 93, 1273 (1990).
54. S. L. Girshick, J. Chem. Phys. 0021-9606 10.1063/1.460309 94, 826 (1991).
55. G. Wilemski, J. Chem. Phys. 0021-9606 10.1063/1.469822 103, 1119 (1995).
56. I. N. Stranski, Ber. Wien. Akad. 145, 840 (1936).
57. R. Kaischew, in Rost Kristallov, edited by, N. N. Sheftal, (Nauka, Moscow, 1965), Vol. 5, p. 45.
58. D. Kashchiev and V. Bostanov, J. Chem. Phys. 0021-9606 10.1063/1.2813430 127, 244709 (2007).
59. D. Kashchiev, J. Chem. Phys. 0021-9606 10.1063/1.442808 76, 5098 (1982).
60. D. Kashchiev, J. Chem. Phys. 0021-9606 10.1063/1.2210483 125, 014502 (2006).
61. H. J. Leamy, G. H. Gilmer, and K. A. Jackson, in Surface Physics of Materials, edited by, J. B. Blakeley, (Academic, New York, 1975), Vol. I, p. 121.
62. X. -M. Bai and M. Li, J. Chem. Phys. 0021-9606 10.1063/1.1931661 122, 224510 (2005).
63. X. -M. Bai and M. Li, J. Chem. Phys. 0021-9606 10.1063/1.2184315 124, 124707 (2006).
64. J. -M. Leyssale, J. Delhommelle, and C. Millot, J. Chem. Phys. 0021-9606 10.1063/1.2753147 127, 044504 (2007).
65. The reader is invited to obtain the solution (if any) of this problem.