On the Volume of Adsorption: A Thermodynamic Approach to Calculate the Pressure Effect on Interfacial Tension for Surfactant Containing Systems

References

• Hills , G. J. and Høiland , H. 1984 . Pressure‐dependence of the surface tension of mercury . J. Colloid Interf. Sci. , 99 : 463 – 467 .
   Web of Science ®Google Scholar
• Jennings , H. J. 1967 . The effect of temperature and pressure on the interfacial tension of benzene‐water and normal decane‐water . J. Colloid Interf. Sci. , 24 : 323 – 329 .
   Web of Science ®Google Scholar
• Harvey , R. R. 1958 . The effect of pressure on the interfacial tension of the benzene‐water system . J. Phys. Chem. , 62 : 322 – 325 .
   Web of Science ®Google Scholar
• Iyota , H. , Aratono , M. , Yamanaka , M. , Motomura , K. and Matuura , R. 1983 . Effect of pressure on the adsorption of 1‐octanol at oil/water interface . Bull. Chem. Soc. Jpn. , 65 : 2402 – 2406 .
   Web of Science ®Google Scholar
• Yamanaka , M. , Aratono , M. , Motomura , K. and Matuura , R. 1984 . Effect of pressure on the adsorption and micelle formation of aqueous dodecyltrimethylammonium chloride solution‐hexane system . Colloid Polym. Sci. , 262 : 338 – 341 .
   Web of Science ®Google Scholar
• Michaels , A. S. and Hauser , E. A. 1951 . Interfacial tension at elevated pressure and temperature II . J. Phys. Chem. , 55 : 408 – 421 .
   Web of Science ®Google Scholar
• Matubayasi , N. , Motomura , K. , Kaneshina , S. , Nakamura , M. and Matuura , R. 1977 . Effect of pressure on interfacial‐tension between oil and water . Bull. Chem. Soc. Jpn. , 50 : 523 – 524 .
   Web of Science ®Google Scholar
• Motomura , K. , Matubayasi , N. , Aratono , M. and Matuura , R. 1978 . Thermodynamic studies on adsorption at interfaces. 2. One surface‐active component system—tetradecanol at hexane‐water interface . J. Colloid. Interf. Sci. , 64 : 356 – 361 .
   Web of Science ®Google Scholar
• Motomura , K. , Iota , H. , Aratono , M. , Yamanaka , M. and Matuura , R. 1983 . Thermodynamic consideration of the pressure‐dependence of interfacial‐tension . J. Colloid. Interf. Sci. , 93 : 264 – 269 .
   Web of Science ®Google Scholar
• Aratono , M. , Yamanaka , M. , Matubayasi , N. , Motomura , K. and Matuura , R. 1980 . Thermodynamic study on the adsorption of dodecylammonium chloride at water‐hexane interface . J. Colloid. Interf. Sci. , 74 : 489 – 494 .
   Web of Science ®Google Scholar
• Motomura , K. , Aratono , M. , Matubayasi , N. and Matuura , R. 1978 . Thermodynamic studies on adsorption at interfaces. 3. Sodium dodecyl‐sulfate at water‐hexane interface . J. Colloid. Interf. Sci. , 67 : 247 – 254 .
   Web of Science ®Google Scholar
• Motomura , K. 1978 . Thermodynamic studies on adsorption at interfaces. 1. General formulation . J. Colloid. Interf. Sci. , 64 : 348 – 355 .
   Web of Science ®Google Scholar
• Vavruch , I. 1995 . Thermodynamic method for the evaluation of the pressure coefficient of a liquid–gas interface . Langmuir , 11 : 2843 – 2844 .
   Web of Science ®Google Scholar
• Hansen , G. , Denoyel , R. and Hamouda , A. A. 1999 . A Thermodynamic approach to the effect of pressure on solid/liquid interfacial tensions . Colloids Surfaces A‐Physicochemical Eng. Asp. , 154 : 353 – 363 .
   Web of Science ®Google Scholar
• Lewis , G. N. and Randall , M. 1923 . Thermodynamics 248 New York : McGraw‐Hill .
   Google Scholar
• Horváth‐Szabó , G. and Høiland , H. 1998 . Apparent molar volume of adsorbed‐state sodium dodecyl sulfate on the polystyrene/water interface . Langmuir , 14 : 5539 – 5545 .
   Web of Science ®Google Scholar
• Findenegg , G. H. 1971 . The volumetric behavior of hydrocarbon liquids near the graphon surface . J. Colloid Interf. Sci. , 35 : 249 – 253 .
   Web of Science ®Google Scholar
• Löring , R. and Findenegg , G. H. 1981 . The liquid/solid interface of propane/graphite. Surface excess measurements over a wide temperature range up to the critical point . J. Colloid Interf. Sci. , 84 : 355 – 361 .
   Web of Science ®Google Scholar
• Gibbs , J. W. 1906 . Scientific Papers Vol. 1 , 219 – 331 . London : Longmans . Dover reprint: New York, 1961
   Google Scholar
• Guggenheim , E. A. 1985 . Thermodynamics 26 Amsterdam : North‐Holland .
   Google Scholar
• Eriksson , J. C. 1983 . Some comments on the application of Hansen thermodynamic formalism for plane interfaces to surfactant solution surfaces . J. Colloid Interf. Sci. , 93 : 582 – 584 .
   Web of Science ®Google Scholar
• Guggenheim , E. A. 1940 . The thermodynamics of interfaces in systems of several components . Trans. Faraday Soc. , 36 : 397 – 412 .
   Google Scholar
• Turkevich , L. A. and Mann , J. A. 1990 . Pressure‐dependence of the interfacial‐tension between fluid phases. 1. Formalism and application to simple fluids . Langmuir , 6 : 445 – 446 .
   Web of Science ®Google Scholar
• Turkevich , L. A. and Mann , J. A. 1990 . Pressure‐dependence of the interfacial‐tension between fluid phases. 2. Application to liquid vapor interfaces and to interfaces of amphiphilic solutions . Langmuir , 6 : 457 – 470 .
   Web of Science ®Google Scholar
• Yang , C. and Li , D. Q. 1996 . Heat‐capacity of immiscible liquid/fluid interfaces and pressure‐dependence of the interfacial‐tension . J. Chem. Soc.‐Farad. Trans. , 92 : 4471 – 4477 .
   Web of Science ®Google Scholar
• Rusanov , A. I. 1981 . “ The centenial of Gibbs' theory of capillarity ” . In The Modern Theory of Capillarity Edited by: Goodrich , F. C. , Rusanov , A. I. , Sontag , H. and Bulov , M. 3 Berlin : Akademie‐Verlag .
   Google Scholar
• See Ref 20. In §4.43 “…We shall now derive formulae…, in which we do not neglect the terms in vdp or τdp. We however warn the reader that these formulae are too complicated to be of any practical use.”
   Google Scholar
• Davis , H. T. and Scriven , L. E. 1982 . Stress and structure in fluid interfaces . Adv. Chem. Phys. , 49 : 357 – 454 .
   Web of Science ®Google Scholar
• Hansen , R. S. 1962 . Thermodynamics of interfaces between condensed phases . J. Phys. Chem. , 66 : 410 – 415 .
   Web of Science ®Google Scholar
• Motomura , K. and Aratono , M. 1987 . Geometric formalism of the thermodynamics of adsorption at interfaces between 2 fluid phases . Langmuir , 3 : 304 – 306 .
   Web of Science ®Google Scholar
• Goodrich , F. C. 1969 . “ The thermodynamics of fluid interfaces ” . In Surface and Colloid Science Edited by: Matijevic , E. Vol. 1 , 1 New York : Wiley .
   Google Scholar
• Markin , V. S. and Volkov , A. G. 1990 . Hansen method for description of adsorption on a curved interface between immiscible liquids, as a generalization of the Gibbs method . J. Colloid Interf. Sci. , 135 : 553 – 561 .
   Web of Science ®Google Scholar
• Good , R. G. 1982 . Thermodynamics of adsorption and Gibbsian distance parameters. 3. Interfacial distances and the surface excess volume . J. Colloid Interf. Sci. , 85 : 141 – 146 .
   Web of Science ®Google Scholar
• Good , R. G. 1976 . Thermodynamics of adsorption and Gibbsian distance parameters in 2‐phase and 3‐phase systems . Pure Appl. Chem. , 48 : 427 – 433 .
   Web of Science ®Google Scholar
• Good , R. G. 1982 . Thermodynamics of adsorption and Gibbsian distance parameters. 2. The pressure coefficient of interfacial‐tension in ternary 2‐phase and 3‐phase systems . J. Colloid Interf. Sci. , 85 : 128 – 140 .
   Web of Science ®Google Scholar
• Good , R. G. 1986 . Thermodynamics of adsorption and Gibbsian distance parameters. 4. reply to Motomura, regarding surface excess volume and Gibbs dividing surfaces . J. Colloid Interf. Sci. , 110 : 298 – 300 .
   Web of Science ®Google Scholar
• Motomura , K. 1986 . Thermodynamics of adsorption and Gibbsian distance parameters—comments . J. Colloid Interf. Sci. , 110 : 294 – 297 .
   Web of Science ®Google Scholar
• Perron , V. E. and Desnoyers , J. E. 2002 . Apparent molar volumes and heat capacities of various adsorbed additives on polystyrene latexes . Langmuir , 18 : 6035 – 6048 .
   Web of Science ®Google Scholar
• The reader should not be confused by the similarity between our notation used for the surface excess mole densities, Γ i(k) G, and the notation used in the literature (for example see in Reference[40]) for the relative surface excess of the ith component, Γ i (1). In the former the k subscript in brackets stands for the number of components in the system, while in the latter the superscript 1 in the brackets stands for the component which has zero excess
   Google Scholar
• Lyklema , J. 1991 . Fundamentals of Interface and Colloid Science Vol. 1 , 2.80 London : Academic Press .
   Google Scholar
• Király , Z. and Dékány , I. 1988 . Algebraic and geometric interpretations of adsorption excess quantities . Colloid Polym. Sci. , 266 : 663 – 671 .
   Web of Science ®Google Scholar