Packing of crystalline structures of binary hard spheres: An analytical approach and application to amorphization

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 76, Issue 4, 2007, Pages

  Brouwers, H J H ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

AMORPHIZATION; COLLOIDS; MATHEMATICAL MODELS; MODAL ANALYSIS;

AMORPHOUS PACKING; CRYSTALLINE STRUCTURES; FACE-CENTERED CUBIC (FCC);

SPHERES;

EID: 35548995024     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.041304     Document Type: Article

References (50)

1. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic, New York, 1976).
2. E. ParthÃ, Z. Kristallogr. ZEKRDZ 0044-2968 115, 52 (1961);
3. E. ParthÃ, Crystal Chemistry of Tetrahedral Structures (Gordon and Breach, New York, 1964).
4. W. Hume-Rothery, G. W. Mabbott, and K. M. Channel-Evans, Philos. Trans. R. Soc. London, Ser. A PTRMAD 0962-8428 10.1098/rsta.1934.0014 233, 1 (1934);
5. W. Hume-Rothery, R. E. Smallman, and C. W. Haworth, The Structure of Metals and Alloys, 5th ed. (revised) (Institute of Metals, London, 1969).
6. L. S. Darken and R. W. Gurry, Physical Chemistry of Metals (McGraw-Hill, New York, 1953).
7. J. R. Chelikowsky, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.19.686 19, 686 (1979).
8. A. R. Miedema, P. F. de ChÃtel, and F. R. de Boer, Physica B & C PHBCDQ 0378-4363 10.1016/0378-4363(80)90054-6 100, 1 (1980).
9. B. Rauschenbach and K. Hohmuth, Phys. Status Solidi A PSSABA 0031-8965 10.1002/pssa.2210720229 72, 667 (1982) (in German).
10. T. Egami and Y. Waseda, J. Non-Cryst. Solids JNCSBJ 0022-3093 10.1016/0022-3093(84)90210-2 64, 113 (1984).
11. S. H. Liou and C. L. Chien, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.35.2443 35, 2443 (1987).
12. O. N. Senkov and D. B. Miracle, Mater. Res. Bull. MRBUAC 0025-5408 10.1016/S0025-5408(01)00715-2 36, 2183 (2001).
13. W. Luck, M. Klier, and H. Wesslau, Ber. Bunsenges. Phys. Chem. BBPCAX 0005-9021 67, 75 (1963) (in German).
14. P. N. Pusey and W. van Megen, Nature (London) NATUAS 0028-0836 10.1038/320340a0 320, 340 (1986).
15. C. C. Furnas, Department of Commerce, Bureau of Mines, Report of Investigation Serial No. 2894, 1928 (unpublished);
16. C. C. Furnas, Bull U.S. Bureau Mines 307, 74 (1929).
17. P. C. Mangelsdorf and E. L. Washington, Nature (London) NATUAS 0028-0836 10.1038/187930a0 187, 930 (1960).
18. H. J. H. Brouwers, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74. 031309 74, 031309 (2006);
19. H. J. H. Brouwers, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74. 069901 74, 069901 (E) (2006).
20. G. D. Scott, Nature (London) NATUAS 0028-0836 10.1038/188908a0 188, 908 (1960);
21. G. D. Scott and D. M. Kilgour, Br. J. Appl. Phys. BJAPAJ 0508-3443 2, 863 (1969).
22. A. R. Kansal, S. Torquato, and F. H. Stillinger, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1511510 117, 8212 (2002).
23. R. K. McGeary, J. Am. Ceram. Soc. JACTAW 0002-7820 10.1111/j.1151-2916. 1961.tb13716.x 44, 513 (1961).
24. A. S. Clarke and J. D. Wiley, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.35.7350 35, 7350 (1987).
25. J. W. Retgers, Z. Phys. Chem., Stoechiom. Verwandtschaftsl. ZEPCAC 0372-8501 3, 497 (1889) (in German).
26. E. Zen, Am. Mineral. AMMIAY 0003-004X 41, 523 (1956).
27. A. E. Van Arkel and J. Basart, Z. Kristallogr. ZEKRDZ 0044-2968 68, 475 (1928) (in German).
28. L. Vegard, Z. Phys. ZEPYAA 0044-3328 10.1007/BF01349680 5, 17 (1921) (in German).
29. P. Jalali and M. Li, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71. 014206 71, 014206 (2005).
30. A. R. Denton and N. W. Ashcroft, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.42.7312 42, 7312 (1990).
31. A. R. Denton (private communication).
32. W. Luck (private communication).
33. H. E. v. Steinwehr, Z. Kristallogr. ZEKRDZ 0044-2968 125, 360 (1967) (in German).
34. W. G. T. Kranendonk and D. Frenkel, Mol. Phys. MOPHAM 0026-8976 10.1080/00268979100100501 72, 679 (1991);
35. W. G. T. Kranendonk and D. Frenkel, Mol. Phys. MOPHAM 0026-8976 10.1080/00268979100100521 72, 715 (1991).
36. E. Dickinson and R. Parker, J. Phys. (France) Lett. JPSLBO 0302-072X 10.1051/jphyslet:01985004606022900 46, L229 (1985).
37. J. L. Barrat, M. Baus, and J. P. Hansen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.1063 56, 1063 (1986);
38. J. L. Barrat, M. Baus, and J. P. Hansen, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/20/10/011 20, 1413 (1987).
39. P. N. Pusey, J. Phys. (Paris) JOPQAG 0302-0738 10.1051/jphys: 01987004805070900 48, 709 (1987).
40. P. Bartlett and P. B. Warren, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.1979 82, 1979 (1999).
41. D. A. Kofke and P. G. Bolhuis, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.618 59, 618 (1999).
42. B. X. Liu, W. L. Johnson, and M. A. Nicolet, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.93767 42, 45 (1983).
43. M. A. Arranz, T. MuÃoz, and J. M. Riveiro, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.144417 66, 144417 (2002).
44. V. M. Goldschmidt, Z. Phys. Chem., Stoechiom. Verwandtschaftsl. ZEPCAC 0372-8501 133, 397 (1928) (in German).
45. W. B. Pearson, Lattice Spacings and Structure of Metals and Alloys, (Pergamon, New York, 1958), Vols. 1 and 2.
46. H. W. King, J. Mater. Sci. JMTSAS 0022-2461 10.1007/BF00549722 1, 79 (1966).
47. M. Iannella, B.Eng. thesis, University of Wollongong, Wollongong, Australia, 1985.
48. A. B. Yu, N. Standish, and A. McLean, J. Am. Ceram. Soc. JACTAW 0002-7820 10.1111/j.1151-2916.1993.tb04021.x 76, 2813 (1993).
49. A. N. Patankar and G. Mandal, Trans. J. Br. Ceram. Soc. TJBCAD 0307-7357 79, 59 (1980).
50. A. H. M. Andreasen and J. Andersen, Kolloid-Z. KOZEA7 0368-6590 10.1007/BF01422986 50, 217 (1930) (in German).