The three-dimensional equilibrium crystal shape of Pb: Recent results of theory and experiment

Applied Physics A: Materials Science and Processing

Volumn 87, Issue 3, 2007, Pages 391-397

  Bonzel, H P ^a   Yu, D K ^b   Scheffler, M ^b  

^a FORSCHUNGSZENTRUM JÜLICH   (Germany)

^b FRITZ HABER INSTITUT DER MAX PLANCK GESELLSCHAFT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; INTERFACIAL ENERGY; RELAXATION PROCESSES; THREE DIMENSIONAL;

STEREOGRAPHIC TRIANGLE; SURFACE ATOMS; VICINAL SURFACES;

CRYSTAL SYMMETRY;

EID: 33947212345     PISSN: 09478396     EISSN: 14320630     Source Type: Journal    
DOI: 10.1007/s00339-007-3951-7     Document Type: Article

References (104)

1. E.D. Hondros, Proc. R. Soc. London A 286, 479 (1965)
2. E.D. Hondros, M. McLean, "Structure et Propriétés des Surfaces des Solides", presented at Colloques Intern, du CNRS, Paris (1969)
3. E.D. Hondros, Surface Energy Measurements, in Physicochemical Measurements in Metals Research, Techniques of Metals Research, ed. by R.A. Rapp (Interscience, New York, 1970), vol. IV, part 2, pp. 293-348
4. D. Sander, H. Ibach, Surface Free Energy and Surface Stress, in Physics of Covered Solid Surfaces, Vol. III-42-A2, (Landolt- Börnstein), ed. by H.P. Bonzel, New Series N Edn. (Springer, Berlin, 2002), vol. III-42-A2, pp. 4.4-1-49
5. A.R. Miedema, Z. Metallkd. 69, 287 (1978)
6. A.R. Miedema, R. Boom, Z. Metallkd. 69, 183 (1978)
7. I. Galanakis, N. Papanikolaou, P.H. Dederichs, Surf. Sci. 511, 1 (2002)
8. M. Mansfield, R.J. Needs, Phys. Rev. B 43, 8829 (1991)
9. M. Methfessel, D. Henning, M. Scheffler, Appl. Phys. A 55, 442 (1992)
10. M. Methfessel, D. Henning, M. Scheffler, Phys. Rev. B 46, 4816 (1992)
11. H.L. Skriver, N.M. Rosengaard, Phys. Rev. B 46, 7157 (1992)
12. P. Feibelman, Phys. Rev. B 52, 16845 (1995)
13. L. Vitos, A.V. Ruban, H.L. Skriver, J. Kollár, Surf. Sci. 411, 186 (1998)
14. P. Feibelman, Phys. Rev. B 62, 17020 (2000)
15. I. Galanakis, G. Bihlmayer, V. Bellini, N. Papanikolaou, R. Zeller, S. Blügel, P.H. Dederichs, Eur. Phys. Lett. 58, 751 (2002)
16. D. Yu, M. Scheffler, Phys. Rev. B 70, 155417 (2004)
17. J.L.F. Da Silva, C. Barreteau, K. Schroeder, S. Blügel, Phys. Rev. B 73, 125402 (2006)
18. D. Yu, H.P. Bonzel, M. Scheffler, Phys. Rev. B 74, 115408 (2006)
19. C. Bombis, A. Emundts, M. Nowicki, H.P. Bonzel, Surf. Sci. 511, 83 (2002)
20. J.L.F. Da Silva, C. Stampfl, M. Scheffler, Surf. Sci. 600, 703 (2006)
21. I.N. Stranski, Z. Phys. Chem. B 11, 342 (1931)
22. I.N. Stranski, R. Kaischew, Z. Kristallogr. 78, 373 (1931)
23. I.N. Stranski, R. Kaischew, Ann. Phys. 23, 330 (1935)
24. I.N. Stranski, R. Suhrmann, Z. Kristallogr. 105, 481 (1944)
25. I.N. Stranski, R. Suhrmann, Ann. Phys. 1, 153 (1947)
26. I.N. Stranski, Discuss. Faraday Soc. 5, 13 (1949)
27. C. Herring, Phys. Rev. 82, 87 (1951)
28. C. Herring, The Use of Classical Macroscopic Concepts in Surface Energy Problems, in Structure and Properties of Solid Surfaces, ed. by R. Gomer, C.S. Smith (University of Chicago, Chicago, 1952), p. 5
29. J. Friedel, B.D. Cullity, C. Crussard, Acta Metall, 1, 79 (1953)
30. J.K. MacKenzie, A.J.W. Moore, J.F. Nicholas, J. Phys. Chem. Solids 23, 185 (1962)
31. I.N. Stranski, Z. Phys. Chem. 136, 259 (1928)
32. W.K. Burton, N. Cabrera, Discuss. Faraday Soc. 5, 33 (1949)
33. W.K. Burton, N. Cabrera, F.C. Frank, Philos. Trans. R. Soc. London 243A, 299 (1951)
34. E.F. Gruber, W.W. Mullins, J. Phys. Chem. Solids 28, 875 (1967)
35. W.W. Mullins, Solid Surface Morphologies Governed by Capillarity, in Metal Surfaces: Structure, Energetics and Kinetics, ed. by W.D. Robertson, N.A. Gjostein (American Soc. for Metals, Metals Park, Ohio, USA, 1963), pp. 17-66
36. N. Cabrera, Surf. Sci. 2, 320 (1964)
37. C. Jayaprakash, C. Rottman, W.F. Saam, Phys. Rev. B 30, 6549 (1984)
38. C. Jayaprakash, W.F. Saam, Phys. Rev. B 30, 3916 (1984)
39. N. Garcia, P.A. Serena, Surf. Sci. 330, 1, 665 (1995)
40. J.J. Sáenz, N. García, Surf. Sci. 155, 24 (1985)
41. C. Rottman, M. Wortis, J.C. Heyraud, J.J. Métois, Phys. Rev. Lett. 52, 1009 (1984)
42. J.J. Métois, J.C. Heyraud, Surf. Sci. 180, 647 (1987)
43. M. Nowicki, C. Bombis, A. Emundts, H.P. Bonzel, P. Wynblatt, New J. Phys. 4, 60 (2002)
44. H.P. Bonzel, Phys. Rep. 385, 1 (2003)
45. G. Wulff, Z. Kristallogr. 34, 449 (1901)
46. A. Dinghas, Z. Kristallogr. 105, 304 (1944)
47. L.D. Landau, E.M. Lifshitz, Statistical Physics (Addison-Wesley, Reading, 1958), vol. V, p. 460
48. A.R. Roosen, R. McCormack, W.C. Carter, Wulff Construction Software: http://www.ctcms.nist.gov/wulffman/, National Institute of Standards and Technology (1999)
49. J.C. Heyraud, J.J. Métois, J. Cryst. Growth 50, 571 (1980)
50. J.C. Heyraud, J.J. Métois, Acta Metall. 28, 1789 (1980)
51. J.C. Heyraud, J.J. Métois, Surf. Sci. 128, 334 (1983)
52. J.J. Métois, G.D.T. Spiller, J.A. Venables, Philos. Mag. A 46, 1015 (1982)
53. H.P. Bonzel, A. Emundts, Phys. Rev. Lett. 84, 5804 (2000)
54. M. Wortis, in Chemistry and Physics of Solid Surfaces, ed. by R. Vanselow, R. Howe (Springer, New York, 1988), vol. 7, p. 367-405
55. D. Yu, H.P. Bonzel, M. Scheffler, New J. Phys. 8, 65 (2006)
56. P. Feibelman, Phys. Rev. B 65, 129902 (2002)
57. CM. Wei, M.Y. Chou, Phys. Rev. B 66, 233408 (2002)
58. M. Fuchs, M. Scheffler, Comput. Phys. Commun. 119, 67 (1999)
59. S. Wei, M.Y. Chou, Phys. Rev. B 50, 4859 (1994)
60. C. Rottman, M. Wortis, Phys. Rev. B 29, 328 (1984)
61. R. Smoluchowski, Phys. Rev. 60, 661 (1941)
62. M.W. Finnis, V. Heine, J. Phys. F Met. Phys. 4, L37 (1974)
63. M.C. Desjonquéres, D. Spanjaard, C. Barreteau, F. Raouafi, Phys. Rev. Lett. 88, 056104 (2002)
64. M. Nowicki, A. Emundts, H.P. Bonzel, Prog. Surf. Sci. 74, 123 (2003)
65. J.J. Métois, J.C. Heyraud, J. Cryst. Growth 57, 487 (1982)
66. G. Rao, D.B. Zhang, P. Wynblatt, Acta Metall. Mater. 41, 3331 (1993)
67. A. Emundts, P. Coenen, G. Pirug, B. Voigtländer, H.P. Bonzel, P. Wynblatt, Rev. Sci. Instrum. 72, 3546 (2001)
68. S. Surnev, P. Coenen, B. Voigtländer, H.P. Bonzel, P. Wynblatt, Phys. Rev. B 56, 12131 (1997)
69. S. Surnev, K. Arenhold, P. Coenen, B. Voigtländer, H.P. Bonzel, P. Wynblatt, J. Vac. Sci. Technol. A 16, 1059 (1998)
70. K. Arenhold, S. Surnev, H.P. Bonzel, P. Wynblatt, Surf. Sci. 424, 271 (1999)
71. H.P. Bonzel, Prog. Surf. Sci. 67, 45 (2001)
72. H.P. Bonzel, Interface Sci. 9, 21 (2001)
73. K. Thürmer, J.E. Reutt-Robey, E.D. Williams, M. Uwaha, A. Emundts, H.P. Bonzel, Phys. Rev. Lett. 87, 186 102 (2001)
74. A. Emundts, M. Nowicki, H.P. Bonzel, Surf. Sci. 496, L35 L42 (2002)
75. M. Nowicki, C. Bombis, A. Emundts, H.P. Bonzel, P. Wynblatt, Eur. Phys. Lett. 59, 239 (2002)
76. M. Nowicki, C. Bombis, A. Emundts, H.P. Bonzel, Phys. Rev. B 67, 075 405 (2003)
77. H.P. Bonzel, M. Nowicki, Phys. Rev. B 70, 245430 (2004)
78. W.W. Mullins, G.S. Rohrer, J. Am. Ceram. Soc. 83, 214 (2000)
79. G.S. Rohrer, C.L. Rohrer, W.W. Mullins, J. Am. Ceram. Soc. 84, 2099 (2001)
80. J.P. Perdew, J.A. Chevary, S.H. Vosko, K.A. Jackson, M.R. Pederson, D.J. Singh, C. Flolhais, Phys. Rev. B 46, 6671 (1992)
81. J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996)
82. V.N. Staroverov, G.E. Scuseria, J. Tao, J.P. Perdew, Phys. Rev. B 69, 075 102 (2004)
83. V.K. Kumikov, K.B. Khokonov, J. Appl. Phys. 54, 1346 (1983)
84. D. Chatain, J.J. Métois, Surf. Sci. 291, 1 (1993)
85. D. Alfe, M.J. Gillan, J. Phys. C Condens. Matter 18, L435 (2006)
86. N. Akutsu, Y. Akutsu, J. Phys. C Condens. Matter 11, 6635 (1999)
87. C. Steimer, M. Giesen, L. Verheij, H. Ibach, Phys. Rev. B 64, 085416 (2001)
88. D.C. Schlösser, L.K. Verheij, G. Rosenfeld, G. Comsa, Phys. Rev. Lett. 82, 3843 (1999)
89. G. Schulze Icking-Konert, M. Giesen, H. Ibach, Phys. Rev. Lett. 83, 3880 (1999)
90. P. Feibelman, Phys. Rev. B 60, 11118 (1999)
91. A. Pavlovska, K. Faulian, E. Bauer, Surf. Sci. 221, 233 (1989)
92. A. Pavlovska, D. Dobrev, E. Bauer, Surf. Sci. 326, 101 (1995)
93. U. Gangopadhyay, P. Wynblatt, Met. Mater. Trans. A 25, 607 (1994)
94. J.C. Heyraud, J.J. Métois, J. Cryst. Growth 82, 269 (1987)
95. L. Kuipers, J.W.M. Frenken, Phys. Rev. Lett. 70, 3907 (1993)
96. L. Kuipers, M.S. Hoogeman, J.W.M. Frenken, Surf. Sci. 340, 231 (1995)
97. K. Thürmer, J.E. Reutt-Robey, E.D. Williams, Surf. Sci. 537, 123 (2003)
98. M. Ranganathan, D.B. Dougherty, W.G. Cullen, T. Zhao, J.D. Weeks, E.D. Williams, Phys. Rev. Lett. 95, 225505 (2005)
99. M. Degawa, W. Cullen, A. Pimpinelli, T.L. Einstein, E.D. Williams, Phys. Rev. Lett. 97, 080601 (2006)
100. N. Moll, A. Kley, E. Pehlke, M. Scheffler, Phys. Rev. B 54, 8844 (1996)
101. Q.K.K. Liu, N. Moll, M. Scheffler, E. Pehlke, Phys. Rev. B 60, 17008 (1999)
102. E. Pehlke, N. Moll, A. Kley, M. Scheffler, Appl. Phys. A 65, 525 (1997)
103. N. Moll, M. Scheffler, E. Pehlke, Phys. Rev. B 58, 4566 (1998)
104. M. Degawa, F. Szalma, E.D. Williams, Surf. Sci. 583, 126 (2005)