Modeling of the hysteresis phenomena in finite-sized slitlike nanopores. Revision of the recent results by rigorous numerical analysis

Langmuir

Volumn 21, Issue 14, 2005, Pages 6613-6627

  Kowalczyk, Piotr ^a,b   Kaneko, Katsumi ^a   Solarz, Lech ^c   Terzyk, Artur P ^d   Tanaka, Hideki ^a   Holyst, Robert ^b  

^a CHIBA UNIVERSITY   (Japan)

^b INSTITUTE OF PHYSICAL CHEMISTRY   (Poland)

^c MILITARY UNIVERSITY OF TECHNOLOGY   (Poland)

^d NICOLAUS COPERNICUS UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ADSORPTION; ADSORPTION ISOTHERMS; CHEMISORPTION; DESORPTION; MATHEMATICAL MODELS; NANOSTRUCTURED MATERIALS; NUMERICAL ANALYSIS; PROBABILITY DENSITY FUNCTION; THERMAL EFFECTS;

ADSORPTION-DESORPTION ISOTHERMS; DENSITY FUNCTIONAL THEORY (DFT); HYSTERESIS LOOP; NANOPORES;

HYSTERESIS;

EID: 22444446741     PISSN: 07437463     EISSN: None     Source Type: Journal    
DOI: 10.1021/la0501132     Document Type: Article

References (111)

1. Bah, A.; Dupont-Pavlovsky, N.; Duval, X. Surf. Sci. 1996, 352, 518.
2. Onishi, S.; Ohmori, T.; Ohkubo, T.; Noguchi, H.; Hanzawa, Y.; Kanoh, H.; Kaneko, K. Appl. Surf. Sci. 2002, 196, 81.
3. Iiyama, T.; Ruike, N.; Kaneko, K. Chem. Phys. Lett. 2000, 331, 359.
4. Tamon, H.; Okazaki, M. J. Colloid Interface Sci. 1996, 179, 181.
5. Terzyk, A. P. J. Colloid Interface Sci. 2003, 268, 301.
6. Patrykiejew, A.; Sokolowski, S.; Sokotowska, Z.; Pizio, O. J. Phys.: Condens. Matter 2001, 13, 6151.
7. Gales, L.; Mendes, A.; Costa, C. Carbon 2000, 38, 1083.
8. Rychlicki, G.; Terzyk, A. P. J. Therm. Anal. 1995, 45, 1183.
9. Rychlicki, G.; Terzyk, A. P.; Zawadzki, J. Pol. J. Chem. 1995, 69, 1328.
10. Field, J. S.; Swain, M. V. Carbon 1996, 34, 1357.
11. Morishige, K.; Kawano, K.; Hayashigi, T. J. Phys. Chem. B 2000, 104, 10298.
12. Huber, P.; Knorr, K. Phys. Rev. B. 1999, 60, 12657.
13. Molz, E. B.; Beamish, J. J. Low Temp. Phys. 1995, 101, 1055.
14. Faivre, C.; Bellet, D.; Dolino, G. Eur. Phys. J. B 1999, 7, 19.
15. Mackie, E. B.; Wolfson, R. A.; Arnold, L. M.; Lafdi, K.; Migone, A. D. Langmuir 1997, 13, 7197.
16. Adkins, B. D.; Davis, B. H. J. Phys. Chem. 1986, 90, 4866.
17. Morishige, K.; Nobuoka, K. J. Chem. Phys. 1997, 107, 6965.
18. Lee, C. K.; Lee, S. L. Heterog. Chem. Rev. 1996, 3, 269.
19. Liu, H.; Zhang, L.; Seaton, N. A. J. Colloid Interface Sci. 1993, 156, 285.
20. Bhatia, S. K.; Liu, F.; Arvind, G. Langmuir 2000, 16, 4001.
21. Maddox, M. W.; Lastoskie, C. M.; Quirke, N.; Gubbins, K. E. In Fundamentals of Adsorption; Le Van, M. D., Ed.; Boston, 1996; p 569.
22. Sarkisov, L.; Monson, P. M. Langmuir 2001, 17, 7600.
23. Mezzasalma, S. A. J. Phys. Chem. B 1999, 103, 7542.
24. Inoue, S.; Ichikuni, N.; Suzuki, T.; Uematsu, T.; Kaneko, K. J. Phys. Chem. B 1998, 102, 4689,
25. Gusev, V. Y. J. Colloid Interface Sci. 1997, 194, 256.
26. Inoue, S.; Hanzawa, Y.; Kaneko, K. Langmuir 1998, 14, 3079.
27. Morishige, K.; Fujii, H.; Uga, M.; Kinukawa, D. Langmuir 1997, 13, 3494.
28. Branton, P. J.; Sing, K. S. W.; White, J. W. J. Chem. Soc., Faraday Trans. 1997, 93, 2337.
29. Llewellyn, P. L.; Grillet, Y.; Rouquerol, J.; Martin, C.; Coulomb J. P. Surf. Sci. 1996, 352, 468.
30. Machin, W. D.; Murdey, R. J. Langmuir 1996, 12, 6501.
31. Inagaki, S.; Fukushima, Y.; Kuroda, K.; Kuroda, K. J. Colloid Interface Sci. 1996, 180, 623.
32. Kaneko,K.;Ohba, T.;Hattori, Y.;Sunaga, M.;Tanaka, H.;Kanoh, H. In Characterization of Porous Solids VI; Rodriguez-Reinoso, F., McEnaney, B., Rouquerol, J., Unger, K., Eds.; Elsevier: Amsterdam, 2002; p 11.
33. Papadopoulou, A.; Swol, F.; Marini, U.; Marconi, B. J. Chem. Phys. 1992, 97, 6942.
34. Nicholson, D. J. Chem. Soc., Faraday Trans. 1994, 90, 181.
35. Brodskaya, E. N.; Piotrovskaya, E. M. Langmuir 1997, 13, 6726.
36. Maddox, M. W.; Gubbins, K. E. Langmuir 1995, 11, 3988.
37. Acharyya, AM.; Stauffer, D. Eur. Phys. J. B 1998, 5, 571.
38. Sarkisov, L.; Monson, P. M. Langmuir 2000, 16, 9857.
39. Lopez, R. H.; Vidales, A. M.; Zgrablich, G. Langmuir 2000, 16, 6999.
40. Vishnyakov, A.; Neimark, A. V. Langmuir 2003, 19, 3240.
41. Kikkinides, E. S.; Kainourgiakis, M. E.; Stubos, A. K. Langmuir 2003, 19, 3338.
42. Rees, R. J.; Mainwaring, D. E.; Snook, I. K. J. Mol. Liq. 2003, 103, 423.
43. Pellenq, R. J.-M.; Levitz, P. E. Mol. Phys. 2002, 100, 2059.
44. Kozak, E.; Chmiel, G.; Patrykiejew, A.; Sokolowski, S. Phys. Lett. A 1994, 189, 94.
45. Neimark, A. V.; Ravikovitch, P. I.; Grun, M.; Schuth, F.; Unger, K. K. J. Colloid Interface Sci. 1998, 207, 159.
46. Neimark, A. V.; Ravikovitch, P. I.; Vishnyakov, A. Phys. Rev. E 2000, 62, 1493.
47. Chmiel, G.; Henderson, D.; Sokolowski, S. Pol. J. Chem. 1997, 71, 630.
48. Kierlik, E.; Monson, P. A.; Rosinberg, M. L.; Tarjus, G. J. Phys.: Condens. Matter 2002, 14, 9295.
49. Heffelfinger, G. S.; Swol, F.; Gubbins, K. E. J. Chem. Phys. 1988, 89, 5202.
50. Doghieri, F.; Sarti, G. C. Macromolecules 1996, 29, 7885.
51. Ravikovitch, P. I.; Haller, G. L.; Neimark, A. V. Adv. Colloid Interface Sci. 1988, 76-77, 203.
52. Lastoskie, C.; Quirke, N.; Gubbins, K. E. In Equilibria and Dynamics of Gas Adsorption on Heterogeneous Solid Surfaces; Rudzinski, W., Steele, W. A., Zgrablich, G., Eds.; Elsevier: Amsterdam, 1997; Vol. 104, p 745.
53. Evans, R. In Fundaments of Inhomogeneous Fluids; Henderson, D., Ed.; Marcel Dekker: New York, 1992; Chapter 3.
54. Hansen, J. P.; McDonald, I. R. Theory of Simple Liquids; Academic Press: London, 1990.
55. Olivier, J. P. J. Porous Mater. 1995, 2, 9.
56. Ustinov, E. A.; Do, D. D. J. Colloid Interface Sci. 2002, 253, 247.
57. Ustinov, E. A.; Do, D. D. Langmuir 2003, 19, 8349.
58. Kruk, M.; Jaroniec, M. In Surfaces of Nanoparticles and Porous Materials; Schwarz, J., Contescu, C., Eds.; Marcel Dekker: New York, 1998; Chapter 17, p 443.
59. Jaroniec, M.; Kruk, M.; Choma J. In Fundaments of Adsorption 7; Kaneko, K., Kanon, H., Hanazawa, Y., Eds.; International Adsorption Society: Chiba, Japan, 2002; p 570.
60. Ravikovitch, P. I.; Neimark, A. V. Colloids Surf., A 2001, 187-188, 11.
61. Lastoskie, C.; Gubbins, K. E.; Quirke, N. J. Phys. Chem. 1993, 97, 4786.
62. Derjaguin, B. V. Acta Physicochim. USSR 1940, 12, 181.
63. Broekhoff, J. C. P.; de Boer, J. H. J. Catal. 1967, 9, 8.
64. Dubinin, M. M.; Kataeva, L. I.; Ulin, V. I. Bull. Acad. Sci. USSR Chem. 1977, 26, 459.
65. Kowalczyk, P.; Gun'ko, V. M.; Terzyk, A. P.; Gauden, P. A.; Rong, H.; Ryu, Z.; Do D. D. Appl. Surf. Sci. 2003, 206, 67.
66. Ravikovitch, P. I.; Vishnyakov, A.; Neimark, A. V. Phys. Rev. E 2001, 64, 011602.
67. Tanaka, H. Molecular Confinement in Nanopores (Thesis); Graduate School of Science and Technology: Chiba University, 2002.
68. Schoen, M.; Rhykerd Jr., C. L.; Cushman, J. H.; Diestler, D. J. Mol. Phys. 1989, 66, 1171.
69. Sarkisov, L.; Monson, P. A. In Fundaments of Adsorption 7; Kaneko, K., Kanoh, H., Hanazawa, Y., Eds.; International Adsorption Society: Chiba, Japan, 2002; p 327.
70. Dobruskin, V. Kh. Carbon 2002, 40, 659.
71. Do, D. D.; Do, H. D. Adsorpt. Sci. Technol. 2003, 21, 389.
72. Neimark, V. A.; Eavikovitch, P. I.; Vishnyakov, A. In Fundaments of Adsorption 7; Kaneko, K., Kanoh, H., Hanazawa, Y., Eds.; International Adsorption Society: Chiba, Japan, 2002; p 319.
73. Kierlik, E.; Monson, P. A.; Rosinberg, M. L.; Sarkisov, L.; Tarjus G. Phys. Rev. Lett. 2001, 87, 055710.
74. Kierlik, E.; Rosinberg, M. L.; Tarjus, G.; Viot, P. Phys. Chem. Chem. Phys. 2001, 3, 1201.
75. Rocken, S.; Tarazona, P. J. Chem. Phys. 1996, 105, 2034.
76. Rojas, F.; Kornhauser, I.; Felipe, C.; Esparza, J. M.; Cordero, S.; Dominguez, A.; Riccardo J. R. Phys. Chem. Chem. Phys. 2002, 4, 2346.
77. Salmas, C. E.; Ladavos, A. K.; Skaribas, S. P.; Pomonis, P. J.; Androutsopoulos, G. P. Langmuir 2003, 19, 8777.
78. Androutsopoulos, G. P.; Salmas, C. S. Ind. End. Chem. Res. 2000, 39, 3747.
79. Androutsopoulos, G. P.; Salmas, C. S. Ind. End. Chem. Res. 2000, 39, 3764.
80. Donohue, M. D.; Aranovich, G. L. J. Colloid Interface Sci. 1998, 205, 121.
81. Sangwichien, C.; Aranovich, G. L.; Donohue, M. D. Colloids Surf., A 2002, 206, 313.
82. Ono, S.; Kondo, S. In Encyclopedia of Physics; Flügge, S., Ed.; Springer: Berlin, 1960; Vol. 10, p 134.
83. Aranovich, G. L.; Donohue, M. D. J. Colloid Interface Sci. 1998, 200, 273.
84. Aranovich, G. L.; Donohue, M. D. Phys. Rev. E 1992, 60, 5552.
85. Kowalczyk, P.; Tanaka, H.; Kanoh, H.; Kaneko, K. Langmuir 2004, 20, 2324.
86. Kowalczyk, P.; Kaneko, K.; Terzyk, A. P.; Tanaka, H.; Kanoh, H.; Gauden, P. A. Carbon 2004, 42, 1813.
87. Everett, D. H., In The Solid-Gas Interface; Flood, E. A., Ed.; Marcel Dekker: New York, 1967.
88. Aranovich, G. L.; Donohue, M. D. J. Chem. Phys. 2000, 112, 2361.
89. Lane, J. E. Aust. J. Chem. 1968, 21, 827.
90. Korn, G. A.; Korn, T. M. Mathematical Handbook for Scientists and Engineers; McGraw-Hill: New York, 1961; Chapter 11.3.
91. Rouquerol, F.; Rouquerol, J.; Sing, K. S. W. Adsorption by Powders and Porous Solids; Academic Press: San Diego, 1999.
92. Lapunov, A. M. General Problem of Motion Stability; ONTI: Moskov, 1935 (in Russian).
93. Bogusz, W.; Dzygadlo, Z.; Rogula, D.; Sobczyk, K.; Solarz, L. Stud. Appl. Mechan. 1991, 30, 87.
94. Cohan, L. H. J. Am. Chem. Soc. 1938, 60, 433.
95. Wolfram, S. The Mathematica Book, 3rd ed.; Wolfram Media/Cambridge University Press: Cambridge, 1993.
96. Stepniak, K.; Patrykiejew, A.; Sokolowska, Z.; Sokolowski, S. J. Colloid Interface Sci. 1999, 214, 91.
97. Franke, O.; Schulz-Ekloff, G.; Rathousky, J.; Starek, J.; Zukal, A. J. Chem. Soc., Chem. Commun. 1993, 9, 724.
98. Evans, R. In Microscopic Theories of Simple Fluids and Their Interfaces; Charvolin, J., Joanny, J. F., Zinn-Justin, J., Eds.; Elsevier Science Publishers: Amsterdam, 1990; p 4.
99. Bryk, P.; Reszko-Zygmunt, J.; Sokolowski, S. Mol. Phys. 1999, 96, 1509.
100. Sing, K. S. W.; Everett, D. H.; Haul, R. A. W.; Moscou, L.; Pierotti, R. A.; Rouquerol, J.; Siemieniewska, T. Pure Appl. Chem. 1985, 57, 403.
101. Thommes, M.; Kohn, R.; Froba, M. J. Phys. Chem. B 2000, 104, 7932.
102. Huber, P.; Knorr, K. Phys. Rev. B 1999, 60, 12657.
103. Naono, H.; Hakuman, M. J. Colloid Interface Sci. 1993, 158, 19.
104. Gros, S.; Findenegg, G. H. Ber. Bunsen-Ges. Phys. Chem. 1997, 101, 1726.
105. Machin, W. D. Langmuir 1994, 10, 1235.
106. Machin, W. D.; Golding, P. D. J. Chem. Soc., Faraday Trans. 1990, 86, 175.
107. Machin, W. D. Langmuir 1999, 15, 169.
108. Morishige, K.; Shikimi, M. J. Chem. Phys. 1998, 108, 7821.
109. Brovschenko, I.; Geiger, A.; Oleinikova, A. Phys. Chem. Chem. Phys. 2001, 3, 1567.
110. Libby, B.; Monson, P. A. Langmuir 2004, 20, 4289.
111. Ravikovitch, P. I.; Neimark, A. V. Langmuir 2002, 18, 9830.