Simple kinetic Monte Carlo models for dissolution pitting induced by crystal defects

Journal of Chemical Physics

Volumn 129, Issue 20, 2008, Pages

  Meakin, Paul ^a   Rosso, Kevin M ^b  

^a IDAHO NATIONAL LABORATORY   (United States)

^b PACIFIC NORTHWEST NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL ACTIVATION; CRYSTAL DEFECTS; DEFECTS; DISLOCATIONS (CRYSTALS); DISSOLUTION; GROWTH (MATERIALS); METAL RECOVERY; MONTE CARLO METHODS; POINT DEFECTS; RADIATION DAMAGE; SURFACE DEFECTS;

COARSENING PROCESSES; DISSOLUTION MECHANISMS; EMPTY CORES; ETCH PITS; FAR FIELDS; HOLLOW TUBES; KINETIC MONTE CARLO MODELS; LATTICE SITES; LINE DEFECTS; NANOPIPES; PIT FORMATIONS; PIT GROWTHS; REGULAR ARRAYS; SIMPLIFIED MODELS; STEP FLOWS; STRAIN ENERGY DENSITIES; THERMAL FLUCTUATIONS;

ACTIVATION ENERGY;

EID: 57149135817     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3021478     Document Type: Article

References (70)

1. M. T. Heald, J. Geol. 64, 16 (1956).
2. S. Schwarz and B. Stockhert, Tectonophysics 255, 203 (1996).
3. R. A. Berner and J. Schott, Am. J. Sci. 282, 1214 (1982).
4. M. R. Lee and I. Parsons, Geochim. Cosmochim. Acta 59, 4465 (1995).
5. R. A. Berner, A. C. Lasaga, and R. M. Garrels, Am. J. Sci. 283, 641 (1983).
6. W. D. Gunter, E. H. Perkins, and I. Hutcheon, Appl. Geochem. 15, 1085 (2000).
7. J. P. Kaszuba, D. R. Janecky, and M. G. Snow, Appl. Geochem. 18, 1065 (2003).
8. M. Akatsuka, K. Sueoka, and T. Yamamoto, J. Cryst. Growth 210, 366 (2000).
9. B. Dam, N. J. Koeman, J. H. Rector, B. Stauble Pumpin, U. Poppe, and R. Griessen, Physica C 261, 1 (1996).
10. C. T. Lin, J. Cryst. Growth 143, 110 (1994).
11. I. Yonenaga, T. Taishi, X. Huang, and K. Hoshikawa, J. Appl. Phys. 89, 5788 (2001).
12. E. K. Wheeler, R. Fluck, B. Woods, and P. K. Whitman, Appl. Opt. 42, 5545 (2003).
13. J. Zhou, J. E. Reddic, M. Sinha, W. S. Ricker, J. Karlinsey, J. W. Yang, M. A. Khan, and D. A. Chen, Appl. Surf. Sci. 202, 131 (2002).
14. M. S. Joshi, P. N. Kotru, and I. Ma, Sov. Phys. Crystallogr. 15, 83 (1970).
15. M. S. Joshi and A. S. Vag, Sov. Phys. Crystallogr. 12, 573 (1968).
16. M. W. Wegner and J. M. Christie, Contrib. Mineral. Petrol. 43, 195 (1974).
17. M. W. Wegner and J. M. Christie, Phys. Chem. Miner. 9, 67 (1983).
18. J. J. Gilman and W. G. Johnston, edited by, J. C. Fisher, W. G. Johnston, R. Thomson, and, T. Vreeland, Dislocations and Mechanical Properties of Crystals (Wiley, New York, 1957), p. 116.
19. A. E. Blum and A. C. Lasaga, in Aquatic Surface Chemistry: Chemical Processes at the Particle-Water Interface, edited by, W. Stumm, (Wiley, New York, 1987), p. 255.
20. N. Cabrera, M. M. Levine, and J. S. Plaskett, Phys. Rev. 96, 1153 (1954).
21. F. C. Frank, Acta Crystallogr. 4, 497 (1951).
22. A. C. Lasaga and A. E. Blum, Geochim. Cosmochim. Acta 50, 2363 (1986).
23. A. C. Lasaga and A. Luttge, Eur. J. Mineral. 15, 603 (2003).
24. M. D. Vinson and A. Luttge, Am. J. Sci. 305, 119 (2005).
25. S. Yanina and K. M. Rosso, Science 320, 218 (2008).
26. S. Yanina, K. M. Rosso, and P. Meakin, Geochim. Cosmochim. Acta 70, 1113 (2006).
27. A. L. Barabasi and H. E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, 1995).
28. W. K. Burton, N. Cabrera, and F. C. Frank, Philos. Trans. R. Soc. London, Ser. A 243, 299 (1951).
29. G. H. Gilmer, Science 208, 355 (1980).
30. P. Meakin, Fractals, Scaling and Growth Far from Equilibrium (Cambridge University Press, Cambridge, 1998).
31. J. M. McCoy and J. P. LaFemina, Surf. Sci. 373, 288 (1997).
32. A. J. Gratz and P. Bird, Geochim. Cosmochim. Acta 57, 965 (1993).
33. J. W. Tester, W. G. Worley, B. A. Robinson, C. O. Grigsby, and J. L. Feerer, Geochim. Cosmochim. Acta 58, 2407 (1994).
34. W. G. Worley, J. W. Tester, and C. O. Grigsby, AIChE J. 42, 3442 (1996).
35. M. S. Paterson, Rev. Geophys. 11, 355 (1973).
36. R. Raj and C. K. Chyung, Acta Metall. 29, 159 (1981).
37. E. H. Rutter, Philos. Trans. R. Soc. London, Ser. A 283, 203 (1976).
38. P. K. Weyl, J. Geophys. Res. 64, 2001 (1959).
39. M. D. Johnson, C. Orme, A. W. Hunt, D. Graff, J. Sudijono, L. M. Sander, and B. G. Orr, Phys. Rev. Lett. 72, 116 (1994).
40. M. I. Larsson, R. F. Sabiryanov, K. Cho, and B. Clemens, J. Appl. Phys. 94, 3470 (2003).
41. J. M. Burgers, Proc. K. Ned. Akad. Wet. 42, 293 (1939).
42. R. B. Hetnarski and J. Ignaczak, Mathematical Theory of Elasticity (Taylor and Francis, London, 2004).
43. J. P. Hirth and J. Lothe, Theory of Dislocations, 2nd ed. (Wiley, New York, 1982).
44. D. Hull and D. J. Bacob, Introduction to Dislocations, 4th ed. (Butterworth-Heinemann, Oxford, 2001).
45. S. D. Piersall and J. B. Anderson, J. Chem. Phys. 95, 971 (1991).
46. T. Vicsek and F. Family, Phys. Rev. Lett. 52, 1669 (1984).
47. C. C. Battaile and D. J. Srolovitz, Annu. Rev. Mater. Res. 32, 297 (2002).
48. R. Weinkamer, P. Fratzl, H. S. Gupta, O. Penrose, and J. L. Lebowitz, Phase Transitions 77, 433 (2004).
49. S. M. Auerbach and H. I. Metiu, J. Chem. Phys. 105, 3753 (1996).
50. M. J. Caturla, Comput. Mater. Sci. 12, 319 (1998).
51. R. M. Ziff, E. Gulari, and Y. Barshad, Phys. Rev. Lett. 56, 2553 (1986).
52. A. Saul, G. Treglia, and B. Legrand, Surf. Sci. 307, 804 (1994).
53. E. van Veendaal, P. van Buerden, W. J. P. van Enkevort, and E. Vlieg, J. Appl. Phys. 88, 4595 (2000).
54. M. Belhadj, H. E. Alper, and R. M. Levy, Chem. Phys. Lett. 179, 13 (1991).
55. M. Y. Frenkel and E. A. Wasserman, Geokhimiya (8), 1194 (1991).
56. J. Hautman and M. L. Klein, Mol. Phys. 75, 379 (1992).
57. Y. J. Rhee, J. W. Halley, J. Hautman, and A. Rahman, Phys. Rev. B 40, 36 (1989).
58. D. Bratko and D. Henderson, Phys. Rev. E 49, 4140 (1994).
59. L. L. Lee, M. Llano Restrepo, W. G. Chapman, and K. P. Shukla, J. Chin. Inst. Chem. Eng. 27, 213 (1996).
60. A. P. Lyubartsev and L. Nordenskiold, J. Phys. Chem. 99, 10373 (1995).
61. H. J. Strauch and P. T. Cummings, Fluid Phase Equilib. 83, 213 (1993).
62. P. P. Ewald, Ann. Phys. 64, 253 (1921).
63. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys. 21, 1087 (1953).
64. P. A. Maksym, Semicond. Sci. Technol. 3, 594 (1988).
65. D. Kuhlmann-Wilsdorf, Phys. Rev. 140, A 1599 (1965).
66. P. Hahner, K. Bay, and M. Zaiser, Phys. Rev. Lett. 81, 2470 (1998).
67. F. Szekely, I. Groma, and J. Lendvai, Mater. Sci. Eng., A 309, 352 (2001).
68. F. Szekely, I. Groma, and J. Lendvai, Mater. Sci. Eng., A 324, 179 (2002).
69. J. Weiss and D. Marsan, Science 299, 89 (2003).
70. A. Luttge, U. Winkler, and A. C. Lasaga, Geochim. Cosmochim. Acta 67, 1099 (2003).