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Schoen M, Evans R, Gubbins KE, Rabe JP, Thommes M, Jackson G. Gerhard Findenegg (1938–2019). Mol Phys 2021. [DOI: 10.1080/00268976.2021.1953272] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- Martin Schoen
- Technische Universität Berlin, Fakultät für Mathematik und Naturwissenschaften, Berlin, Germany
| | - Robert Evans
- H. H. Wills Physics Laboratory, University of Bristol, Bristol, UK
| | - Keith E. Gubbins
- Department of Chemical and Biomolecular Engineering, North Carolina State University, Raleigh, NC, USA
| | - Jürgen P. Rabe
- Department of Physics & IRIS Adlershof, Humboldt-Universität zu Berlin, Berlin, Germany
| | - Matthias Thommes
- Department of Chemical and Bioeengineering, Institute of Separation Science and Technology, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany
| | - George Jackson
- Department of Chemical Engineering, Imperial College London, London, UK
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Yabunaka S, Onuki A. Critical adsorption profiles around a sphere and a cylinder in a fluid at criticality: Local functional theory. Phys Rev E 2017; 96:032127. [PMID: 29346888 DOI: 10.1103/physreve.96.032127] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/23/2017] [Indexed: 06/07/2023]
Abstract
We study universal critical adsorption on a solid sphere and a solid cylinder in a fluid at bulk criticality, where preferential adsorption occurs. We use a local functional theory proposed by Fisher et al. [M. E. Fisher and P. G. de Gennes, C. R. Acad. Sci. Paris Ser. B 287, 207 (1978); M. E. Fisher and H. Au-Yang, Physica A 101, 255 (1980)PHYADX0378-437110.1016/0378-4371(80)90112-0]. We calculate the mean order parameter profile ψ(r), where r is the distance from the sphere center and the cylinder axis, respectively. The resultant differential equation for ψ(r) is solved exactly around a sphere and numerically around a cylinder. A strong adsorption regime is realized except for very small surface field h_{1}, where the surface order parameter ψ(a) is determined by h_{1} and is independent of the radius a. If r considerably exceeds a, ψ(r) decays as r^{-(1+η)} for a sphere and r^{-(1+η)/2} for a cylinder in three dimensions, where η is the critical exponent in the order parameter correlation at bulk criticality.
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Affiliation(s)
- Shunsuke Yabunaka
- Fukui Institute for Fundamental Chemistry, Kyoto University, Kyoto 606-8103, Japan
| | - Akira Onuki
- Department of Physics, Kyoto University, Kyoto 606-8502, Japan
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Grajek H. Regeneration of Adsorbents by the Use of Liquid, Subcritical and Supercritical Carbon Dioxide. ADSORPT SCI TECHNOL 2016. [DOI: 10.1260/0263617001493486] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022] Open
Abstract
The literature concerning the adsorption and desorption of environmental impurities from adsorbents by means of liquid, subcritical and supercritical carbon dioxide and the author's work on the subject have been reviewed. The influence of the adsorption and desorption temperature, the pressure and the density of the extraction solvent, the solubility of the adsorbate in the extraction solvent, the activation energy for adsorbate desorption and the particle size of the adsorbent on the adsorbate desorption efficiency by this method were discussed.
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Affiliation(s)
- Henryk Grajek
- Institute of Chemistry, Military Technical Academy, Kaliski Str., 2, 00-090 Warsaw, Poland
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Carrott P. Effect of Temperature on Neopentane Isotherms Determined on Non-Porous Non-Graphitized Carbon Black (Elftex). ADSORPT SCI TECHNOL 2016. [DOI: 10.1177/026361748900600205] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
Abstract
Adsorption isotherms of neopentane have been determined on the non-porous non-graphitized carbon black Elftex at temperatures from 282.8 K down to 249.0 K, i.e. from the boiling point of bulk neopentane to below its freezing point. It is shown that the shape of the isotherm in the multilayer region, and hence the magnitude of the FHH r value, is not directly affected be temperature, although an indirect effect, occurring as a result of a change in the properties of the adsorbed monolayer, is observed. It is also concluded that, if the properties of an adsorbed phase are dependent on coverage, then the adsorption isostere method is unlikely to lead to reliable values for the heat of adsorption.
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Affiliation(s)
- P.J.M. Carrott
- Departamento de Quimica, Faculdade de Ciências, Universidade de Lisboa, Rua da Escola Politécnica, 58, 1200 Lisboa, Portugal
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Giesy TJ, Chou AS, McFeeters RL, Baird JK, Barlow DA. Critical-point universality in adsorption: the effect of charcoal on a mixture of isobutyric acid and water near the consolute point. Phys Rev E 2011; 83:061201. [PMID: 21797350 DOI: 10.1103/physreve.83.061201] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/06/2010] [Indexed: 11/07/2022]
Abstract
The mixture of isobutyric acid and water has a consolute point at a temperature of 25.75 °C and mole fraction 0.1148 isobutyric acid. When charcoal is added to this mixture, the concentration of isobutyric acid is reduced by adsorption. We have measured the action of charcoal on solutions of isobutyric acid and water as a function of isobutyric acid mole fraction at temperatures of 25.85 and 32.50 °C. At the higher temperature, the specific adsorption density (y(2)(α)/m) satisfies the Freundlich equation (y(2)(α)/m)=KX(2)(1/n), where y(2)(α) is the mass of isobutyric acid adsorbed, m is the mass of charcoal, X(2) is the equilibrium mole fraction of isobutyric acid, n is the Freundlich index, and K=K(T) is an amplitude that depends upon the temperature T. At 25.85 °C, a critical endpoint is located at an isobutyric acid mole fraction X(2)(ce)=0.09. When compared with the Freundlich equation at this temperature, a plot of the specific adsorption density as a function of X(2) in the vicinity of the critical-endpoint composition assumes a shape which is reminiscent of the derivative of a Dirac delta function. Using critical-point scaling theory, we show that this divergent pattern is consistent with the principle of critical point universality.
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Affiliation(s)
- Timothy J Giesy
- Department of Chemical Engineering, University of Alabama in Huntsville, Huntsville, Alabama 35899, USA
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Do DD, Do HD, Fan C, Nicholson D. On the existence of negative excess isotherms for argon adsorption on graphite surfaces and in graphitic pores under supercritical conditions at pressures up to 10,000 atm. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2010; 26:4796-4806. [PMID: 20205401 DOI: 10.1021/la903549f] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
In this paper, we consider in detail the computer simulation of argon adsorption on a graphite surface and inside graphitic slit pores under supercritical conditions. Experimental results in the literature for graphitic adsorbents show that excess isotherms pass through a maximum and then become negative at high pressures (even for adsorption on open surfaces) when a helium void volume is used in the calculation of the excess amount. Here we show that, by using the appropriate accessible volume (which is smaller than the helium void volume), the excess isotherms still have a maximum but are always positive. The existence and the magnitude of this maximum is because the rate of change of the adsorbed density is equal to that of the bulk gas, which has a large change in bulk gas density for a small variation in pressure for temperatures not far above the critical point. However for temperatures far above T(c), this change in the bulk gas density is no longer significant and the maximum in the surface excess density becomes less pronounced and even disappears at high enough temperatures. The positivity of the adsorption excess persists for all pressures up to 10,000 atm for adsorption on surfaces and in slit pores of all sizes. For adsorption on a surface, the surface excess density eventually reaches a plateau at high pressures as expected, because the change in the adsorbed phase is comparable to that of the bulk gas. Positive excess lends support to our physical argument that the adsorbed phase is denser than the bulk gas, and this is logical as the forces exerted by the pore walls should aid to the compression of the adsorbed phase.
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Affiliation(s)
- D D Do
- School of Chemical Engineering, University of Queensland, St. Lucia, Qld 4072, Australia.
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Effects of potential models on the adsorption of carbon dioxide on graphitized thermal carbon black: GCMC computer simulations. Colloids Surf A Physicochem Eng Asp 2006. [DOI: 10.1016/j.colsurfa.2005.11.094] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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Do DD, Do HD. Adsorption of benzene on graphitized thermal carbon black: reduction of the quadrupole moment in the adsorbed phase. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2006; 22:1121-8. [PMID: 16430274 DOI: 10.1021/la052545i] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/06/2023]
Abstract
The performance of intermolecular potential models on the adsorption of benzene on graphitized thermal carbon black at various temperatures is investigated. Two models contain only dispersive sites, whereas the other two models account explicitly for the dispersive and electrostatic sites. Using numerous data in the literature on benzene adsorption on graphitized thermal carbon black at various temperatures, we have found that the effect of surface mediation on interaction between adsorbed benzene molecules must be accounted for to describe correctly the adsorption isotherm as well as the isosteric heat. Among the two models with partial charges tested, the WSKS model of Wick et al. that has only six dispersive sites and three discrete partial charges is better than the very expensive all-atom model of Jorgensen and Severance. Adsorbed benzene molecules on graphitized thermal carbon black have a complex orientation with respect to distance from the surface and also with respect to loading. At low loadings, they adopt the parallel configuration relative to the graphene surface, whereas at higher loadings (still less than monolayer coverage) some molecules adopt a slant orientation to maximize the fluid-fluid interaction. For loadings in the multilayer region, the orientation of molecules in the first layer is influenced by the presence of molecules in the second layer. The data that are used in this article come from the work of Isirikyan and Kiselev, Pierotti and Smallwood, Pierce and Ewing, Belyakova, Kiselev, and Kovaleva, and Carrott et al.
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Affiliation(s)
- D D Do
- Department of Chemical Engineering, University of Queensland, St. Lucia, Qld 4072, Australia.
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De S, Shapir Y, Chimowitz EH, Kumaran V. Critical behavior in quenched random structures: Mean-field lattice-gas approach. AIChE J 2006. [DOI: 10.1002/aic.690470223] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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Do DD, Do HD. Adsorption of argon from sub- to supercritical conditions on graphitized thermal carbon black and in graphitic slit pores: A grand canonical Monte Carlo simulation study. J Chem Phys 2005; 123:084701. [PMID: 16164315 DOI: 10.1063/1.1996573] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
In this paper we consider the adsorption of argon on the surface of graphitized thermal carbon black and in slit pores at temperatures ranging from subcritical to supercritical conditions by the method of grand canonical Monte Carlo simulation. Attention is paid to the variation of the adsorbed density when the temperature crosses the critical point. The behavior of the adsorbed density versus pressure (bulk density) shows interesting behavior at temperatures in the vicinity of and those above the critical point and also at extremely high pressures. Isotherms at temperatures greater than the critical temperature exhibit a clear maximum, and near the critical temperature this maximum is a very sharp spike. Under the supercritical conditions and very high pressure the excess of adsorbed density decreases towards zero value for a graphite surface, while for slit pores negative excess density is possible at extremely high pressures. For imperfect pores (defined as pores that cannot accommodate an integral number of parallel layers under moderate conditions) the pressure at which the excess pore density becomes negative is less than that for perfect pores, and this is due to the packing effect in those imperfect pores. However, at extremely high pressure molecules can be packed in parallel layers once chemical potential is great enough to overcome the repulsions among adsorbed molecules.
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Affiliation(s)
- D D Do
- Department of Chemical Engineering, University of Queensland, Saint Lucia, Qld 4072, Australia.
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De S, Shapir Y, Chimowitz EH. Diffusion in dilute binary fluids confined in porous structures near the solvent critical point. J Chem Phys 2003. [DOI: 10.1063/1.1577532] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Abstract
A short review of various components of surface forces acting in a non-symmetrical system such as wetting films is presented here. Experimental results are compared with modified DLVO theory, which includes, besides dispersion and electrostatic, structural (solvation) forces caused by a change in liquid structure in conditions of confined geometry. The peculiarities of disjoining pressure isotherms and conditions of the film stability of non-polar and polar simple liquids, as well as of aqueous solutions of electrolytes and surfactants, are systematically considered from a historical perspective.
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Affiliation(s)
- N V Churaev
- The Institute of Physical Chemistry of the Russian Academy of Sciences, Leninsky Prospect 31, 119991, Moscow, Russia.
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Zhao X, Kwon S, Vidic RD, Borguet E, Johnson JK. Layering and orientational ordering of propane on graphite: An experimental and simulation study. J Chem Phys 2002. [DOI: 10.1063/1.1508363] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022] Open
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Bahr C, Booth CJ, Fliegner D, Goodby JW. Critical Adsorption at the Free Surface of a Smectic Liquid Crystal Possessing a Second-Order Phase Transition. PHYSICAL REVIEW LETTERS 1996; 77:1083-1086. [PMID: 10062986 DOI: 10.1103/physrevlett.77.1083] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Yonker CR, Smith RD. Sorption isotherms of mobile phase components in capillary supercritical fluid chromatography. J Chromatogr A 1990. [DOI: 10.1016/s0021-9673(01)93073-0] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Liu AJ, Fisher ME. Universal critical adsorption profile from optical experiments. PHYSICAL REVIEW. A, GENERAL PHYSICS 1989; 40:7202-7221. [PMID: 9902136 DOI: 10.1103/physreva.40.7202] [Citation(s) in RCA: 39] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Marconi UM. Critical adsorption and finite-geometry effects. PHYSICAL REVIEW. A, GENERAL PHYSICS 1988; 38:6267-6279. [PMID: 9900385 DOI: 10.1103/physreva.38.6267] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Martire DE. Unified theory of adsorption chromatography: gas, liquid and supercritical fluid mobile phases. J Chromatogr A 1988. [DOI: 10.1016/s0021-9673(01)81432-1] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Martire DE. Unified Theory of Adsorption Chromatography with Heterogenous Surfaces: Gas, Liquid and Supercritical Fluid Mobile Phases. ACTA ACUST UNITED AC 1988. [DOI: 10.1080/01483918808069026] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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22
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Lipowsky R. Critical effects at complete wetting. PHYSICAL REVIEW. B, CONDENSED MATTER 1985; 32:1731-1750. [PMID: 9937218 DOI: 10.1103/physrevb.32.1731] [Citation(s) in RCA: 83] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Blümel S, Findenegg GH. Critical adsorption of a pure fluid on a graphite substrate. PHYSICAL REVIEW LETTERS 1985; 54:447-450. [PMID: 10031518 DOI: 10.1103/physrevlett.54.447] [Citation(s) in RCA: 24] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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