Ion-size effect at the surface of a silica hydrosol

Journal of Chemical Physics

Volumn 130, Issue 2, 2009, Pages

  Tikhonov, Aleksey M ^a  

^a KAPITZA INSTITUTE FOR PHYSICAL PROBLEMS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CESIUM; IONS; SILICA;

DOUBLE LAYER (ELECTRIC); SILICA NANO-PARTICLES; SINGLE IONS; SIZE EFFECTS; SYNCHROTRON X RAYS;

CESIUM COMPOUNDS;

EID: 58449103294     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3056663     Document Type: Article

References (47)

1. A. W. Adamson, Physical Chemistry of Surfaces, 3rd ed. (Wiley, New York, 1976).
2. P. Becher, Emulsions: Theory and Practice, 3rd ed. (American Chemical Society, Washington, D.C. / Oxford University Press, Oxford, 2001).
3. A. Yu. Grosberg, T. T. Nguyen, and B. I. Shklovskii, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.329 74, 329 (2002).
4. G. Gouy, J. Phys. 9, 457 (1910). 1742-6588
5. D. L. Chapman, Philos. Mag. 25, 475 (1913). 1478-6435
6. E. J. W. Verwey and K. F. Nielsen, Philos. Mag. 28, 435 (1935). 1478-6435
7. O. Stern, Z. Elektrochem. 30, 508 (1924). 1478-6435
8. C. Wagner, Phys. Z. 25, 474 (1924).
9. L. Onsager and N. N. T. Samaras, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1749522 2, 528 (1934).
10. Y. I. Kharkats and J. J. Ulstrup, Electroanal. Chem. ELCHAI 0070-9778 308, 17 (1991).
11. M. A. Vorotyntsev, Yu. A. Ermakov, V. S. Markin, and A. A. Rubashkin, Russ. J. Electrochem. 29, 730 (1993). 1023-1935
12. A. G. Volkov, D. W. Dreamer, D. L. Tanelli, and V. S. Markin, Prog. Surf. Sci. PSSFBP 0079-6816 10.1016/S0079-6816(97)82876-6 53, 1 (1996).
13. Y. Levin, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1321043 113, 9722 (2000).
14. V. S. Markin and A. G. Volkov, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp026229d 106, 11810 (2002).
15. J. Zwanikken and R. van Roij, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.178301 99, 178301 (2007).
16. I. Benjamin, Chem. Rev. (Washington, D.C.) CHREAY 0009-2665 10.1021/cr950230+ 96, 1449 (1996).
17. P. Jungwirth and D. J. Tobias, Chem. Rev. (Washington, D.C.) CHREAY 0009-2665 10.1021/cr0403741 106, 1259 (2006).
18. T. M. Chang and L. X. Dang, Chem. Rev. (Washington, D.C.) CHREAY 0009-2665 10.1021/cr0403640 106, 1305 (2006).
19. K. Kjaer, J. Als-Nielsen, C. Helm, P. Tippman-Krayer, and H. Möhwald, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100345a063 93, 3200 (1989).
20. M. J. Bedzyk, G. M. Bommarito, M. Caffrey, and T. L. Penner, Science SCIEAS 0036-8075 10.1126/science.2321026 248, 52 (1990).
21. V. M. Kaganer, H. Möhwald, and P. Dutta, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71.779 71, 779 (1999).
22. J. Daillant and M. Alba, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/63/10/203 63, 1725 (2000).
23. D. Vaknin, P. Krüger, and M. Lösche, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.178102 90, 178102 (2003).
24. K. Besteman, M. A. G. Zevenbergen, H. A. Heering, and S. G. Lemay, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.170802 93, 170802 (2004).
25. W. Bu, D. Vaknin and A. Travesset, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.060501 72, 060501 (R) (2005).
26. C. Park, P. A. Fenter, N. C. Sturchio, and J. R. Regalbuto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.076104 94, 076104 (2005).
27. G. Luo, S. Malkova, J. Yoon, D. G. Schultz, B. Lin, M. Meron, I. Benjamin, P. Vanysek, and M. L. Schlossman, Science SCIEAS 0036-8075 10.1126/science.1120392 311, 216 (2006).
28. E. Sloutskin, J. Baumert, B. M. Ocko, I. Kuzmenko, A. Checco, L. Tamam, E. Ofer, T. Gog, and M. Deutsch, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2431361 126, 054704 (2007).
29. M. L. Schlossman and A. M. Tikhonov, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 10.1146/annurev.physchem.59.032607.093822 59, 153 (2008).
30. B. S. Gourary and F. S. Adrian, Solid State Phys. SSPHAE 0081-1947 10.1088/0022-3719/10/6/004 10, 127 (1960).
31. J. E. Huheey, E. A. Keiter, and R. L. Keiter, Inorganic Chemistry: Principles of Structure and Reactivity, 4th ed. (Harper Collins, New York, 1993).
32. A. M. Tikhonov, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp055597p 110, 2746 (2006).
33. A. M. Tikhonov, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2189848 124, 164704 (2006).
34. A. M. Tikhonov, J. Phys. Chem. C 111, 930 (2007). 1932-7447
35. A. M. Tikhonov, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2734542 126, 171102 (2007).
36. I. Danielewicz-Ferchmin and A. R. Ferchmin, J. Phys. Chem. JPCHAX 0022-3654 10.1021/jp961630j 100, 17281 (1996).
37. Solid KOH, RbOH H2 O, and CsOH H2 O (99.95% on metal basis) were obtained from Sigma-Aldrich. Grace Davidson kindly supplied the monodispersed silica hydrosol of 22 nm particles Ludox TM-50 (~50% of SiO2 and ~0.2% of Na by weight) that was further dissolved in de-ionized water to form the sol containing ~30% of SiO2 (by weight).
38. The solubility of Li+ and Na+ in the silica hydrosols is limited to ~0.15 mol/l since they cause the sols to coagulate at pH>11, whereas K+, Rb+, Cs+ cations are ineffective, and remain so even at much higher bulk concentrations; J. Depasse and A. Watillon, J. Colloid Interface Sci. JCISA5 0021-9797 10.1016/0021-9797(70)90235-3 33, 430 (1970).
39. M. L. Schlossman, D. Synal, Y. Guan, M. Meron, G. Shea-McCarthy, Z. Huang, A. Acero, S. M. Williams, S. A. Rice, and P. J. Viccaro, Rev. Sci. Instrum. RSINAK 0034-6748 10.1063/1.1148399 68, 4372 (1997).
40. L. G. Parratt, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.95.359 95, 359 (1954).
41. J. Als-Nielsen, Topics in Current Physics, Structure and Dynamics of Surfaces (Springer-Verlag, Berlin, 1986), Vol. 2.
42. P. S. Pershan, Faraday Discuss. Chem. Soc. FDCSB7 0301-7249 10.1039/dc9908900231 89, 231 (1990).
43. F. P. Buff, R. A. Lovett, and F. H. Stillinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.15.621 15, 621 (1965).
44. J. Daillant, L. Bosio, B. Harzallah, and J. J. Benattar, J. Phys. II JPAHER 1155-4312 10.1051/jp2:1991102 1, 149 (1991).
45. D. K. Schwartz, M. L. Schlossman, E. H. Kawamoto, G. J. Kellogg, P. S. Pershan, and B. M. Ocko, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.41.5687 41, 5687 (1990).
46. A. Braslau, P. S. Pershan, G. Swislow, B. M. Ocko, and J. Als-Nielsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.38.2457 38, 2457 (1988).
47. The distribution of the electron density in the layer 1 can be obtained from the model's electron-density profile ρ (z) ≈ 1 2 ρ 3 + 1 2 m=0 2 (ρ m+1-ρ m) erf (tm (z) / m 2), tm (z) =z+ i=0 m zi, and erf (t) = (2/π) 0t e- s2 ds by subtracting from it the contributions of layers 2-3 and the hydrosol's bulk.