Structure of liquid GaSb at pressures up to 20 GPa

Physical Review B - Condensed Matter and Materials Physics

Volumn 68, Issue 22, 2003, Pages

  Hattori, T ^a   Tsuji, K ^a   Taga, N ^a   Takasugi, Y ^a   Mori, T ^a  

^a KEIO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ANTIMONY DERIVATIVE; CESIUM; GALLIUM; TELLURIUM;

ANISOTROPY; ARTICLE; CALCULATION; CRYSTAL; ENERGY; ENTROPY; LIQUID; MATHEMATICAL ANALYSIS; MODEL; PHYSICAL PHASE; PRESSURE; STRUCTURE ANALYSIS; TEMPERATURE; X RAY DIFFRACTION;

EID: 2142724036     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.68.224106     Document Type: Article

References (67)

1. E. Rapoport, J. Chem. Phys. 46, 2891 (1967).
2. Y. Katayama, T. Mizutani, W. Utsumi, O. Shimomura, M. Yamakata, and K. Funakoshi, Nature (London) 403, 170 (2000).
3. M.I. McMahon and R.J. Nelmes, J. Phys. Chem. Solids 56, 485 (1995), and references therein.
4. C.B. Vanpeteghem, R.J. Nelmes, D.R. Allan, and M.I. McMahon, Phys. Rev. B 65, 012105 (2001).
5. N. Funamori and K. Tsuji, Phys. Rev. Lett. 88, 255508 (2002).
6. T. Mori, Master thesis, Keio University, 2000.
7. J. Kōga and F. Yonezawa, Phys. Rev. B 66, 064211 (2002).
8. J.C. Phillips, Bonds and Bands in Semiconductors (Academic Press, New York, 1973).
9. N. Funamori and K. Tsuji, Phys. Rev. B 65, 014105 (2001).
10. W. Utsumi, K. Funakoshi, S. Urakawa, Y. Yamakata, K. Tsuji, H. Konishi, and O. Shimomura, Rev. High Pressure Sci. Technol. 7, 1484 (1998).
11. D. Martínez-Garcia, Y.L. Godec, G. Syfosse, and J.P. Itié, Phys. Status Solidi B 211, 475 (1999).
12. A. Jayaraman, W. K., Jr., and G.C. Kennedy, Phys. Rev. 130, 540 (1963).
13. H.P. Mokrovskii and A.R. Regel, J. Tech. Phys. 22, 1282 (1952).
14. J.C. Jamieson, Science 139, 845 (1963).
15. C. Yu and I.L. Spain, Solid State Commun. 25, 49 (1978).
16. S.T. Weir, Y.K. Vohra, and A.L. Ruoff, Phys. Rev. B 36, 4543 (1987).
17. M.I. McMahon, R.J. Nelmes, N.G. Wright, and D.R. Allan, Phys. Rev. B 50, 13 047 (1994).
18. M. Mezouar, H. Libotte, S. Deputier, T.L. Bihan, and D. Häusermann, Phys. Status Solidi B 211, 395 (1999).
19. K. Tsuji, K. Yaoita, M. Imai, O. Shimomura, and T. Kikegawa, Rev. Sci. Instrum. 60, 2425 (1989).
20. The diffraction profiles were taken at 2θ = 3°, 4°, 5°, 6°, 8°, 10°, 12°, 15°, and 20° for the experiments using the MAXIII apparatus, and at 2θ = 3°, 4°, 5°, 6°, 8°, 11°, and 15° for the experiment using the SPEED1500 apparatus.
21. D.L. Decker, J. Appl. Phys. 42, 3239 (1971).
22. The intensity of liquid in the subtracted region was estimated by interpolating the data in the lower- and higher-Q regions by a third polynomial function.
23. J.A. Ibers and W. Hamilton, International tables for X-ray crystallography (Kynoch, Birmingham, UK, 1974), Vol. IV.
24. D.T. Cromer and J.B. Mann, J. Chem. Phys. 47, 1892 (1967).
25. D.T. Cromer, J. Chem. Phys. 50, 4857 (1969).
26. T.E. Faber and J.M. Ziman, Philos. Mag. 11, 153 (1965).
27. We estimated the volume jump on melting at high pressures from that at ambient pressure and the slope of melting curve on the basis of Clausius-Clapeyron relation. Here, we assumed that the entropy change on melting is independent of pressure in the pressure range of the present study.
28. The thermal-expansion coefficient of the liquid was assumed to be equal to that of the crystalline phase before melting at each pressure. The error caused by this assumption is negligibly small because the contribution of the thermal expansion to the number density is small (within 1%).
29. R. Kaplow, S.L. Strong, and B. Averbach, Phys. Rev. 138, 1336 (1965).
30. Y. Waseda, The Structure of Non-Crystalline Materials (McGraw-Hill, New York, 1980).
31. J. Mizuki, K. Kakinoki, M. Misawa, T. Fukunaga, and N. Watanabe, J. Phys.: Condens. Matter 5, 3391 (1993).
32. Y. Wang, K. Lu, and C. Li, Phys. Rev. Lett. 79, 3664 (1997).
33. Y. Waseda and K. Suzuki, Z. Phys. B 20, 339 (1975).
34. J.P. Gabathuler and S. Steeb, Z. Naturforsch. A34, 1314 (1979).
35. W.A. Harrison, Electronic Structure and the Properties of Solids (Freemann and Company, San Francisco, 1980).
36. We calculated the positions of the peaks at ambient pressure by extrapolating the respective values at high pressures toward ambient pressure.
37. Y. Morimoto, S. Kato, N. Toda, Y. Katayama, K. Tsuji, K. Yaoita, and O. Shimomura, Rev. High Pressure Sci. Technol. 7, 245 (1998).
38. The gradual increase of the nearest-neighbor distance is likely to occur in liquids because two characteristic distances for the low-and high-pressure forms cannot be divided in liquids because of the large distribution of the bond length.
39. Y.K. Vohra, K.E. Brister, S. Desgreniers, A.L. Ruoff, K.J. Chang, and M.L. Cohen, Phys. Rev. Lett. 56, 1944 (1986).
40. W. Klement (unpublished).
41. V. Petkov, S. Takeda, Y. Waseda, and K. Sugiyama, J. Non-Cryst. Solids 168, 97 (1994).
42. Y. Waseda, K. Shinoda, K. Sugiyama, S. Takeda, and K. Terashima, Jpn. J. Appl. Phys., Part 1 34, 4124 (1995).
43. C.B. Vanpeteghem, R.J. Nelmes, D.R. Allan, M.I. McMahon, A.V. Sapelkin, and S.C. Bayliss, Phys. Status Solidi B 223, 405 (2001).
44. E. Rapoport, Phys. Rev. Lett. 19, 345 (1967).
45. E. Rapoport, J. Chem. Phys. 48, 1433 (1968).
46. We calculated the lattice parameters for each local structure from the volume of the liquid which does not involve the volume jump on melting to avoid the overestimation of the interatomic distance for the local structures in liquids. It is because the volume jump on melting is considered to originate from the formation of voids in liquid, rather than from the abrupt increase of the interatomic distance.
47. J.C. Jamieson, Science 139, 762 (1963).
48. J.D. Barnett, R.B. Bennion, and H.T. Hall, Science 141, 1041 (1963).
49. H. Olijnyk, S.K. Sikka, and W.B. Holzapfel, Phys. Lett. 103A, 137 (1984).
50. J.Z. Hu and I.L. Spain, Solid State Commun. 51, 263 (1984).
51. S. Desgreniers, Y.K. Vohra, and A.L. Ruoff, Phys. Rev. B 39, 10 359 (1989).
52. C.A. Vanderborgh, Y.K. Vohra, and A.L. Ruoff, Phys. Rev. B 40, 12 450 (1989).
53. M.I. McMahon and R.J. Nelmes, Phys. Rev. B 47, 8337 (1993).
54. M.I. McMahon and R.J. Nelmes, Phys. Status Solidi B 198, 389 (1996).
55. The coordination number for the β-Sn structure is counted as 4 + 2 because the first coordination shell cannot be distinguished from the second one due to the small difference in the distance (within 5%). Similarly, the coordination number for the bcc structure is counted as 8 + 6.
56. The experimentally determined coordination number at 19.6 GPa is not equal to the value for the bcc structure (6 + 8) because the change of the local structure is not completed at 19.6 GPa.
57. A.G. Umnov, J. Phys.: Condens. Matter 6, 4625 (1994).
58. Although the bcc-type GaSb has not been reported in c-GaSb in the pressure region below 35 GPa, the phase is expected to exist at the pressure much higher than 35 GPa because Sn and InSb, which have a similar electronic structure to GaSb, have the bcc-type higher-pressure crystalline phase (Refs. 48 and 52).
59. 3/atom.
60. R.J. Nelmes, H. Liu, S.A. Belmonte, J.S. Loveday, M.I. McMahon, D.R. Allan, D. Häusermann, and M. Hanfland, Phys. Rev. B 53, R2907 (1986).
61. K. Tsuji, J. Non-Cryst. Solids 117-118, 27 (1990).
62. Y. Katayama, K. Tsuji, H. Kanda, H. Nosaka, K. Yaoita, T. Kikegawa, and O. Shimomura, J. Non-Cryst. Solids 205-207, 451 (1996).
63. Y. Katayama, T. Mizutani, W. Utsumi, O. Shimomura, and K. Tsuji, Phys. Status Solidi B 223, 401 (2001).
64. J. Sietsma and B.J. Thijsse, J. Non-Cryst. Solids 101, 135 (1988).
65. V. Petkov, A. Apostolov, and V. Skumryev, J. Non-Cryst. Solids 110, 184 (1989).
66. JCPDS no. 4-0673.
67. JCPDS no. 5-0390.