Results 251 to 260 of about 44,939 (298)

Modeling Langmuir isotherms with the Gillespie stochastic algorithm

Journal of Chromatography A, 2015
The overall goal of this work is to develop a robust modeling approach that is capable of simulating single and multicomponent isotherms for biological molecules interacting with a variety of adsorbents. Provided the ratio between the forward and reverse adsorption/desorption constants is known, the Gillespie stochastic algorithm has been shown to be ...
J. Epstein, J. Michael, C. Mandona, F. Marques, A.C. Dias-Cabral, M. Thrash   +5 more
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Surface Pressure Isotherm for the Fluid State of Langmuir Monolayers

The Journal of Physical Chemistry B, 2006
The equation of state for the monolayer comprised of the molecules of different sizes (water and biopolymers) is modified to describe the fluid (liquid-expanded and gaseous) state of the insoluble molecules monolayer. In contrast to the equation of state derived previously in ref 1, this equation does not involve either the Gibbs' adsorption equation ...
Fainerman, V., Vollhardt, D.
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A Sorbent Concentration-Dependent Langmuir Isotherm

Acta Physico-Chimica Sinica, 2012
Batch adsorption experiments of Pb(II) and Cu(II) on kaolinite as a function of kaolinite concentration were conducted. An obvious sorbent concentration effect (Cs-effect) was observed; namely, the adsorption isotherm declines as sorbent concentration (Cs) increases. The experimental data were fitted to the classic Langmuir model.
ZHAO Ling-Xi, SONG Shu-E, DU Na, HOU Wan-Guo   +3 more
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Langmuir isotherm explains maximum foamability

Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2016
Abstract The relevant and promising empirical observation of M. Rosen regarding the maximum foam height in a column at the critical micelle concentration is explained using basic thermodynamic analysis. Elasticity determined isothermally from the equilibrium π − A curve and Gibbs elasticity modulus, is evaluated by means of the Langmuir isotherm ...
Oscar Arciniega Saavedra, Jesús Gracia Fadrique   +1 more
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A Statistical Derivation of Langmuir's Adsorption Isotherm

Mathematical Proceedings of the Cambridge Philosophical Society, 1935
The commonest form of Langmuir's adsorption isotherm iswhere θ is the fraction of the surface of the solid covered by adsorbed molecules, p the gas pressure in equilibrium with the adsorbed layer and A = A (T) a function of the temperature alone.
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On the derivation of the Langmuir isotherm for adsorption kinetics

Journal of Physics A: Mathematical and General, 1991
The Langmuir isotherm, essentially an equilibrium relation but often used as a boundary condition in modelling adsorption kinetics, is introduced and discussed. Starting from a more fundamental, and therefore more generally applicable, boundary condition the authors justify mathematically the use of the isotherm relation in this context, showing under ...
S McKee, D Swailes
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Spectral properties of Bi-Langmuir isotherms

Chemical Engineering Science, 2013
Abstract The paper discusses spectral properties of adsorption equilibria described by the Bi-Langmuir isotherm. The standard Langmuir isotherm and the so-called modified Langmuir isotherm are included as special cases. These spectral properties are of fundamental importance for the theoretical analysis of chromatographic separation processes using ...
Flockerzi, D., Kaspereit, M., Kienle, A. ; https://orcid.org/0000-0002-9011-0451   +2 more
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Synthesis and langmuir isotherms of difluorostearic acids

Journal of Fluorine Chemistry, 1998
Abstract The CF 2 containing 6,6- and 10,10-difluorooctadecanoic acids 7 and 8 , respectively have been synthesised and their Langmuir isotherms evaluated. In marked contrast to the behaviour of octadecanoic acid (stearic acid) 1 it is demonstrated that spreading on an aqueous subphase generates an unstable monolayer which reorganises to a more
David O'Hagan, Itsumaro Kumadaki, Michael Petty, Hiroaki Takaya, Christopher Pearson   +4 more
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On the derivation of the Langmuir adsorption isotherms

Kolloid-Zeitschrift & Zeitschrift für Polymere, 1965
An intermediate relation obtained byJellinek in his derivation of theLangmuir adsorption isotherm equation is found to be equivalent tode Witte's extension ofJ. J. Thomson's adsorption theorem. To transform this relation into theLangmuir equationJellinek assumes the quantity\(b' = \frac{{RT}}{b}e^{\frac{{ - \Delta W_\alpha }}{{RT}}} \), to be a ...
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Characterization of Molecularly Imprinted Polymers with the Langmuir−Freundlich Isotherm

Analytical Chemistry, 2001
The majority of binding models that have been applied to molecularly imprinted polymers (MIPs) have been homogeneous models. MIPs, on the other hand, are heterogeneous materials containing binding sites with a wide array of binding affinities and selectivities.
R J, Umpleby, S C, Baxter, Y, Chen, R N, Shah, K D, Shimizu   +4 more
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