Equilibrium nanoshapes: From thermodynamics to atomistic simulations

Journal of Computational and Theoretical Nanoscience

Volumn 4, Issue 2, 2007, Pages 316-325

  Muller P ^a   Mottet, C ^a  

^a CNRS   (France)

Author keywords

Edge energy; Equilibrium shape; Facet energy; Laplace overpressure; Surface energy; Surface stress

Indexed keywords

EPITAXIAL GROWTH; FREE ENERGY; INTERFACIAL ENERGY; OPTIMIZATION; PHASE EQUILIBRIA;

EDGE ENERGY; EQUILIBRIUM SHAPE; FACET ENERGY; LAPLACE OVERPRESSURE;

NANOCRYSTALS;

EID: 34247401671     PISSN: 15461955     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (43)

1. M. A. El-Sayed, Acc. Chem. Res. 34, 257 (2001).
2. C. R. Henry, Surf. Sci. Rep. 31, 235 (1998).
3. T. van Buuren, L. N. Dinh, L. L. Chase, W. J. Siehaus, and L. J. Terminello, Phys. Rev. B 80, 3803 (1998).
4. G. Ledoux, O. Guillois, D. Porterat, C. Reynaud, F. Huisken, B. Kohn, and V. Paillard, Phys. Rev. B 62, 15942 (2000).
5. D. Kovalev, H. Heckler, G. Polisski, and F. Koch. Phys. Stat. Sol. (b) 215, 871 (1999).
6. G. Xiong, G. Wei, X. Yang, L. Lu, and X. Wang, J. Mater. Sci. 35, 931 (2000).
7. P. Curie, Bull. Soc. Fr. Min. Crist. 8, 145 (1885).
8. G. Wulff, Z. Krist. 34, 449 (1901).
9. R. Kaishew, Arbeitstagung Festköper Physik 81 (1952);
10. ibid, Commun. Bulg. Acad. Sci. 1, 100 (1950).
11. P. Müller and R. Kern, Surf. Sci. 457, 229 (2000).
12. P. Müller and R. Kern, Appl. Surf. Sci 164, 68 (2000).
13. M. Degawa, F. Salzma, and E. D. Williams, Surf. Sci 583, 126 (2005).
14. M. Dagawa and E. D. Williams, Surf. Sci. 595, 87 (2005).
15. J. W. Gibbs, The Collected Works of J. W. Gibbs, Longmans, Green and Co., New York (1928).
16. L. Landau and E. Lifshitz, Theory of Elasticity, Pergamon, Oxford (1970).
17. J. Farges, M. F. de Feraudy, B. Raoult, and G. Torchet, J. Chem. Phys. 84, 3491 (1986).
18. D. Reinhard, B. D. Hall, P. Berthoud, S. Valkealahti, and R. Monot, Phys. Rev. B 58, 4917 (1998).
19. F. Baletto and R. Ferrando, Rev. Mod. Phys. 77, 371 (2005).
20. F. Baletto, R. Ferrando, A. Fortunelli, F. Montalenti, and C. Mottet, J. Chem. Phys. 116, 3856 (2002).
21. C. Mottet. G. Tréglia, and B. Legrand, Surf. Sci. 383, L719 (1997).
22. D. K. Yu, R. Q. Zhang, and S. T. Lee, Phys. Rev. B 65, 245417 (2002).
23. D. J. Wales and J. P. K. Doye, J. Phys. Chem. A 101, 5111 (1997).
24. V. Bonacić-Koutecký, P. Fantucci, and J. Koutecký, Phys. Rev. B 37, 4369 (1998).
25. G. Rossi, A. Rapallo, C. Mottet, A. Fortunelli, F. Baletto, and R. Ferrando, Phys. Rev. Lett. 93, 105503 (2004).
26. F. Ducastelle, J. Phys. 31, 1055 (1970);
27. V. Rosato, M. Guillopé, and B. Legrand, Phil. Mag. A 59, 321 (1989).
28. C. Mottet, J. Goniakowski, F. Baletto, R. Ferrando, and G. Tréglia, Phase Transitions 77, 101 (2004).
29. D. Frenkel and B. Smith, Understanding Molecular Simulation: From Algorithms to Applications, Academic Press (1996).
30. R. Kern, Morphology of Crystals, edited by I. Sunagawa, Terra, Tokyo (1987), Chap. 2, Vol. A, pp. 77-206.
31. R. Kern and P. Müller, Surf. Sci. 392, 103 (1997).
32. P. Müller, P. Turban, L. Lapena, and S. Andrieu, Surf. Sci. 488, 52 (2001).
33. P. Müller and A. Saul, Surf. Sci. Rep. 54, 157 (2004).
34. I. N. Stranski, Crystal Growth: Discussions of the Faraday Society, No. 5, London Butterworths Scientific Publications (1959), pp. 13-21.
35. J. C. Hamilton, Phys. Rev. B 73, 125447 (2006).
36. W. Vervisch. C. Mottet, and J. Goniakowski, Eur. Phys. J. D 24, 311 (2003).
37. A. Barnard and P. Zapol, J. Chem. Phys. 121, 4276 (2004).
38. H. S. Lim, C. K. Ong, and F. Ercolessi, Surf. Sci. 269/270, 1109 (1992).
39. P. Müller and R. Kern, J. Cryst. Growth 193, 257 (1998).
40. F. K. Legoues, M. C. Reuter, J. Tersoff, M. Hammar, and R. M. Tromp, Phys. Rev. Lett. 73, 300 (1994).
41. W. Vervisch, C. Mottet, and J. Goniakowski, Phys. Rev. B 65, 245411 (2002).
42. J. Goniakowski and C. Mottet, J. Cryst. Growth 275, 29 (2005).
43. C. Mottet and J. Goniakowski, Surf. Sci. 566-568, 443 (2004).