In-plane structure of the liquid-vapor interfaces of dilute bismuth:gallium alloys: X-ray-scattering studies

Journal of Chemical Physics

Volumn 105, Issue 21, 1996, Pages 9615-9624

  Lei, Ning ^a   Huang, Zhengqing ^a   Rice, Stuart A ^a   Grayce, Christopher J ^b  

^a UNIVERSITY OF CHICAGO   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BISMUTH; CALCULATIONS; CRYSTAL STRUCTURE; INTEGRAL EQUATIONS; MONOLAYERS; PHASE INTERFACES; SEGREGATION (METALLOGRAPHY); SURFACE TENSION; X RAY DIFFRACTION;

BISMUTH GALLIUM ALLOYS; GRAZING INCIDENCE X RAY DIFFRACTION; LIQUID VAPOR INTERFACES; TWO DIMENSIONAL HARD DISK FLUID MIXTURE; TWO DIMENSIONAL SUPERCOOLED LIQUID; X RAY SCATTERING;

BISMUTH ALLOYS;

EID: 0030419334     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.472773     Document Type: Article

References (33)

1. A. W. Adamson, Physical Chemistry of Surfaces (Wiley, New York, 1990), Chaps. 3 and 4.
2. J. S. Rowlinson and B. Widom, Molecular Theory of Capillarity (Oxford University Press, New York, 1982), Chap. 4.
3. S. A. Rice, Proc. Natl. Acad. Sci. 84, 4709 (1987).
4. O. M. Magnussen, B. M. Ocko, M. J. Regan, K. Penanen, P. S. Pershan, and M. Deutsch, Phys. Rev. Lett. 74, 4444 (1995).
5. M. J. Regan, E. H. Kawamoto, S. Lee, P. S. Pershan, N. Maskil, M. Deutsch, O. M. Magnussen, B. M. Ocko, and L. E. Berma, Phys. Rev. Lett. 75, 2498 (1995).
6. M. P. D'Evelyn and S. A. Rice, J. Chem. Phys. 78, 5225 (1983).
7. M. P. D'Evelyn and S. A. Rice, J. Chem. Phys. 78, 5081 (1983).
8. J. G. Harris, J. Gryko, and S. A. Rice, J. Stat. Phys. 48, 1109 (1987).
9. J. G. Harris, J. Gryko, and S. A. Rice, J. Chem. Phys. 87, 3069 (1987).
10. M. A. Gomez and S. A. Rice, J. Chem. Phys. 101, 8094 (1994).
11. Ning Lei, Zhengqing Huang, and S. A. Rice, J. Chem. Phys. 124, (1996).
12. B. N. Thomas, S. W. Barton, F. Novak, and S. A. Rice, J. Chem. Phys. 86, 1036 (1987).
13. E. B. Flom, Z.-h. Cai, A. Acero, B.-h. Lin, N. Maskil, L. Liu, and S. A. Rice, J. Chem. Phys. 96, 4743 (1992).
14. E. B. Flom, M. Li, A. Acero; N. Maskil, and S. A. Rice, Science 260, 332 (1993).
15. M. A. Van Hove, W. H. Weinberg, and C.-M. Chan, Low-Energy Electron Diffraction (Springer, New York, 1986), Chap. 7.
16. B. Plius, Ph.D. thesis, University of Leiden, 1990.
17. E. Flom, Ph.D. thesis, University of Chicago, 1993.
18. A. H. Narten, J. Chem. Phys. 56, 1185 (1972).
19. U. Dahlborg and M. Davidovic, Phys. Chem. Liquids 15, 243 (1986).
20. S. K. Sinha, E. B. Sirota, S. Garoff, and H. B. Stanley, Phys. Rev. B 38, 2297 (1988).
21. M. K. Sanyal, S. K. Sinha, K. G. Huang, and B. M. Ocko, Phys. Rev. Lett. 66, 628 (1991).
22. L. Rovner, A. Drowart, and J. Drowart, Trans. Faraday Soc. C 89, 2906 (1967).
23. D. Chandler, and H. C. Anderson, J. Chem. Phys. 57, 1930 (1972);
24. D. Chandler, in The Liquid State of Matter: Fluids, Simple and Complex, edited by E. W. Montroll and J. I. Lebowitz (North-Holland, Amsterdam, 1982), p. 275.
25. Unfortunately in two-dimensions known "fast" Hankel transform algorithms [e.g., A. A. Mohsen and E. A. Hashish, Geophys. Prospecting 42, 131 (1994)] appear to require logarithmic spacing of abscissas, which is not convenient for the study of liquid correlation functions. So we used here the "slow" Hankel (2D Fourier) transform. As we were repeatedly transforming over the same set of points we were able to cache and reuse the Bessel function kernel, which speeds up the calculation.
26. C. J. Grayce and J. J. de Pablo, J. Chem. Phys. 101, 6013 (1994);
27. D. Chandler and L. R. Pratt, J. Chem. Phys. ibid. 65, 2925 (1976).
28. See, for example, E. B. Flora, Z.-h. Cai, A. Acero, B.-h. Lin, N. Maskil, L. Liu, and S. A. Rice, J. Chem. Phys. 96, 4743 (1992).
29. H. J. F. Jansen, A. J. Freeman, M. Weinert, and E. Wimmer, Phys. Rev. B 28, 593 (1983).
30. D. G. Triezenberg and R. Zwanzig, Phys. Rev. Lett. 28, 1183 (1972).
31. Binary Alloy Phase Diagrams, edited by T. B. Massalski (ASM International, Materials Park, 1990).
32. T. Iida and Roderick, I. L. Guthrie, The Physical Properties of Liquid Metals (Oxford University Press, New York, 1988).
33. Selected Values of the Thermodynamic Properties of the Elements, edited by R. Hultgren, P. D. Desai, D. T. Hawkins, M. Gleiser, K. Kelley, and D. Wagman (American Society for Metals, Metals Park, 1973).