Exact evaluation of the salt concentration dependence of interparticle distance in colloidal crystals by ultra-small-angle X-ray scattering. 2. The universality of the maximum in the interparticle distance - Salt concentration relationship

Langmuir

Volumn 12, Issue 23, 1996, Pages 5588-5594

  Matsuoka, Hideki ^a   Harada, Tamotsu ^a   Kago, Keitaro ^a   Yamaoka, Hitoshi ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001114429     PISSN: 07437463     EISSN: None     Source Type: Journal    
DOI: 10.1021/la950916x     Document Type: Article

References (65)

1. For a convenient review, see: Dosho, S.; et al. Langmuir 1993, 9, 394.
2. Kose, A.; Ozaki, M.; Takano, K.; Kobayashi, K.; Hachisu, S. J. Colloid Interface Sci. 1973, 44, 330.
3. Verwey, E. J. W.; Overbeek, J. Th. G. Theory of the Stability of Lyophobic Colloids; Elsevier: Amsterdam, 1948. Derjaguin, B. V.; Landau, L. Acta Physicochim. 1941, 14, 633.
4. Verwey, E. J. W.; Overbeek, J. Th. G. Theory of the Stability of Lyophobic Colloids; Elsevier: Amsterdam, 1948. Derjaguin, B. V.; Landau, L. Acta Physicochim. 1941, 14, 633.
5. Ise, N.; Okubo, T. Acc. Chem. Res. 1980, 13, 303.
6. Ito, K.; Yoshida, Y.; Ise, N. Chem. Lett. 1992, 2081. The top cover of Langmuir 1993, 9 (2).
7. Ito, K.; Yoshida, Y.; Ise, N. Chem. Lett. 1992, 2081. The top cover of Langmuir 1993, 9 (2).
8. Sogami, I. S. Phys. Lett. A 1983, 96, 199.
9. Sogami, I. S.; Ise, N. J. Chem. Phys. 1984, 81, 6320.
10. Sogami, I. S.; Shinohara, T.; Smalley, M. V. Mol. Phys. 1991, 74, 599. Sogami, I. S.; Shinohara, T.; Smalley, M. V. Mol. Phys. 1992, 76, 1.
11. Sogami, I. S.; Shinohara, T.; Smalley, M. V. Mol. Phys. 1991, 74, 599. Sogami, I. S.; Shinohara, T.; Smalley, M. V. Mol. Phys. 1992, 76, 1.
12. Levine, S.; Hall, D. G. Langmuir 1992, 8, 1090. Ettelaie, R. Langmuir 1993, 9, 1888. Overbeek, J. Th. G. Mol. Phys. 1993, 80, 685. Smalley, M. V. Langmuir 1995, 11, 1813. Smalley, M. V.; Sogami, I. S. Mol. Phys., in press.
13. Levine, S.; Hall, D. G. Langmuir 1992, 8, 1090. Ettelaie, R. Langmuir 1993, 9, 1888. Overbeek, J. Th. G. Mol. Phys. 1993, 80, 685. Smalley, M. V. Langmuir 1995, 11, 1813. Smalley, M. V.; Sogami, I. S. Mol. Phys., in press.
14. Levine, S.; Hall, D. G. Langmuir 1992, 8, 1090. Ettelaie, R. Langmuir 1993, 9, 1888. Overbeek, J. Th. G. Mol. Phys. 1993, 80, 685. Smalley, M. V. Langmuir 1995, 11, 1813. Smalley, M. V.; Sogami, I. S. Mol. Phys., in press.
15. Levine, S.; Hall, D. G. Langmuir 1992, 8, 1090. Ettelaie, R. Langmuir 1993, 9, 1888. Overbeek, J. Th. G. Mol. Phys. 1993, 80, 685. Smalley, M. V. Langmuir 1995, 11, 1813. Smalley, M. V.; Sogami, I. S. Mol. Phys., in press.
16. Levine, S.; Hall, D. G. Langmuir 1992, 8, 1090. Ettelaie, R. Langmuir 1993, 9, 1888. Overbeek, J. Th. G. Mol. Phys. 1993, 80, 685. Smalley, M. V. Langmuir 1995, 11, 1813. Smalley, M. V.; Sogami, I. S. Mol. Phys., in press.
17. Rayleigh, R. Philos. Mag. 1871, 41, 107, 447.
18. Mie, G. Ann. Phys. 1908, 25, 377.
19. van de Hulst, H. C. Light Scattering by Small Particles; Dover: New York, 1957.
20. Kerker, M.; Farone, W. A.; Matijevic, E. J. Opt. Soc. Am. 1963, 53, 758.
21. Kerker, M. The Scattering of Light and Other Electromagnetic Radiation; Academic: London, 1969.
22. For example: Hertl, W.; Versmold, H.; Wittig, U. Ber. Bunsen-Ges. Phys. Chem. 1984, 88, 1063.
23. Brown, J. C.; Pusey, P. N.; Goodwin, J. W.; Ottewill, R. H. J. Phys. A: Math. Gen. 1975, 35, 1448.
24. Gruener, F.; Lehmann, W. J. Phys. A: Math. Gen. 1980, 13, 2155.
25. Pusey, P. N.; Tough, R. J. A. In Dynamic Light Scattering; Pecora, R., Ed.; Plenum: New York, 1985; Chapter 4.
26. Bonse, U.; Hart, M. Z. Phys. 1966, 189, 151.
27. Matsuoka, H.; Kakigami, K.; Ise, N. The Rigaku J. 1991, 8, 21.
28. Matsuoka, H.; Kakigami, K.; Ise, N.; Kobayashi, Y.; Machitani, Y.; Kikuchi, T.; Kato, T. Proc. Natl. Acad. Sci. USA 1991, 88, 6618.
29. Matsuoka, H.; Kakigami, K.; Ise, N. Proc. Jpn. Acad. 1991, 67B, 170.
30. Matsuoka, H.; Nakatani, Y.; Yamakawa, M.; Ise, N. J. Phys. IV 1993, 3, 451, Colloque C8.
31. Matsuoka, H.; Ise, N. Chemtract 1993, 4, 53.
32. Matsuoka, H.; Ise, N. Adv. Polym. Sci. 1994, 114, 187.
33. Ise, N.; Ito, K.; Okubo, T.; Dosho, S. Sogami, I. J. Am. Chem. Soc. 1985, 107, 8074.
34. Matsuoka, H.; Harada, T.; Yamaoka, H. Langmuir 1994, 10, 4423.
35. Guinier, A.; Fournet, G. Small-angle Scattering of X-rays; Wiley: New York, 1955.
36. Hashimoto, T.; Fujimura, M.; Kawai, H. Macromolecules 1980, 13, 1660.
37. Grady, B. P.; Matsuoka, H.; Ise, N.; Nakatani, Y.; Cooper, S. L. Macromolecules 1993, 26, 4064.
38. Hayter, J. B.; Penfold, J. Colloid Polym. Sci. 1983, 26, 1022.
39. Sumaru, K.; Yamaoka, H.; Ito, K. Ber. Bunsen-Ges. Phys. Chem. 1996, 100, 1176.
40. Cullity, D. B. Elements of X-ray Diffraction, 2nd ed.; Addison-Wesley: Reading, PA, 1977.
41. Warren, B. E. X-ray Diffraction; Addison-Wesley: Reading, PA, 1969.
42. If the colloidal crystal grows and becomes single-crystal-like, additional peaks appear on the powder-like diffraction pattern. The positions of the additional peaks depend on the orientation of the sample. Matsouka, H.; et al. In preparation.
43. Tata, B. V. Private communication.
44. Yamanaka, J.; Koga, T.; Ise, N.; Hashimoto, T. Proceedings of 48th Annual Meeting on Colloid and Surface Chemistry; Chemical Society of Japan: Sapporo, 1995; p 40.
45. Sood, A. K. In Solid State Physics; Ehrenreich, H., Turnbull, D., Eds.; Academic Press: New York, 1991; Vol. 45, p 1. Tata, B. V.; Arora, A. K.; Valsakumar, M. C. Phys. Rev. E 1993, 47, 3404.
46. Sood, A. K. In Solid State Physics; Ehrenreich, H., Turnbull, D., Eds.; Academic Press: New York, 1991; Vol. 45, p 1. Tata, B. V.; Arora, A. K.; Valsakumar, M. C. Phys. Rev. E 1993, 47, 3404.
47. Hosemann, R.; Bagchi, S. N. Direct Analysis of Diffraction by Matter; North Holland: Amsterdam, 1966.
48. Matsuoka, H.; et al. Phys. Rev. B 1987, 36, 1754. Matsuoka, H.; et al. Phys. Rev. B 1990, 41, 3854.
49. Matsuoka, H.; et al. Phys. Rev. B 1987, 36, 1754. Matsuoka, H.; et al. Phys. Rev. B 1990, 41, 3854.
50. Matsuoka, H.; Harada, T.; Kago, K.; Yamaoka, H. Polym. Prepr. Jpn. 1995, 44, 2959. Matsuoka, H.; Harada, T.; Kago, K.; Yamaoka, H. Proceedings of 48th Annual Meeting on Colloid and Surface Chemistry; Chemical Society of Japan: Sapporo, 1995; p 576. Matsuoka, H.; Harada, T.; Kago, K.; Yamaoka, H. In preparation.
51. Matsuoka, H.; Harada, T.; Kago, K.; Yamaoka, H. Polym. Prepr. Jpn. 1995, 44, 2959. Matsuoka, H.; Harada, T.; Kago, K.; Yamaoka, H. Proceedings of 48th Annual Meeting on Colloid and Surface Chemistry; Chemical Society of Japan: Sapporo, 1995; p 576. Matsuoka, H.; Harada, T.; Kago, K.; Yamaoka, H. In preparation.
52. Matsuoka, H.; Harada, T.; Kago, K.; Yamaoka, H. Polym. Prepr. Jpn. 1995, 44, 2959. Matsuoka, H.; Harada, T.; Kago, K.; Yamaoka, H. Proceedings of 48th Annual Meeting on Colloid and Surface Chemistry; Chemical Society of Japan: Sapporo, 1995; p 576. Matsuoka, H.; Harada, T.; Kago, K.; Yamaoka, H. In preparation.
53. Li, Y. Q.; Tao, N. J.; Pan, J.; Garcia, A. A.; Lindsay, S. M. Langmuir 1993, 9, 637.
54. Mizukami, M.; Kurihara, K. Polym. Prepr. Jpn. 1995, 44, 298.
55. Prieve, D. C.; Frej, N. A. Langmuir 1990, 6, 396.
56. Tanimoto, S.; Matsuoka, H.; Yamaoka, H. Colloid Polym. Sci. 1995, 273, 1201.
57. Ray, J.; Manning, G. S. Langmuir 1994, 10, 2450. Yoshino, S. Polym. Prepr. Jpn. 1994, 43, 1454.
58. Ray, J.; Manning, G. S. Langmuir 1994, 10, 2450. Yoshino, S. Polym. Prepr. Jpn. 1994, 43, 1454.
59. Liu, Y. C.; Ku, C. Y.; LoNostro, P.; Chen, S. H. Phys. Rev. E 1995, 51, 4598.
60. Sumaru, K.; Matsuoka, H.; Yamaoka, H.; Wignall, G. D. Phys. Rev. E 1996, 53, 1744.
61. Ninham, B. W.; Parsegian, U. A. In Dispersion Forces; Mahanty, J., Ninham, B. W., Eds.; Academic: New York, 1976; Chapter 7.
62. Lin, S. C.; Lee, W. I.; Schurr, J. M. Biopolymers 1978, 17, 1041.
63. Schumacher, G. A.; van de Ven, T.; Faraday Discuss. Chem. Soc. 1987, 83, 75.
64. Yamanaka, J.; Ise, N.; Miyoshi, H.; Yamaguchi, T. Phys. Rev. E 1995, 51, 1276.
65. Under the condition that the colloidal crystal forms a very large single crystal compared to the capillary size, the wall effect becomes significant and the crystal has some special orientation to the capillary wall (see: Konishi; et al. Phys. Rev. B 1995, 51, 3914).