Adsorption from solutions on patchwise heterogeneous solids

Rudziński, W.; Ościk, J.; Dąbrowski, A.

doi:10.1016/0009-2614(73)85194-2

Cited by 29 publications

(11 citation statements)

References 11 publications

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“…[17], but introducing the concept of surface heterogeneity of adsorbent (41). Now, we reconsider once again these experimental data of Sircar and Myers, introducing first the concept of multilayer adsorption and additionally, the concept of surface heterogeneity.…”

Section: Resultsmentioning

confidence: 91%

“…After the partial correction for non-ideality of the solution, Sircar and Myers obtained curves which correctly described the adsorption at very small and very high concentrations of benzene, but whose maxima lay on the left of experimental maxima. Thus neither non-ideality nor multilayer effects can be responsible for this deviation, We have shown previously that this deviation is removed by taking into account surface heterogeneity (41).…”

Section: Resultsmentioning

confidence: 95%

“…Recently, we have proposed an approximate method for quantitative estimation of the heterogeneity of surface in adsorption from solutions (41). The basic idea of this work was to generalize the integral representation of Halsey and Taylor for the case of surface excess isotherms which consist additively of appropriate contributions from homogeneous patches of surface.…”

Section: Effects Of Surface Heterogeneitymentioning

confidence: 99%

See 2 more Smart Citations

On the formation of multilayers in adsorption from binary liquid mixtures

Ościk¹,

Dąbrowski²,

Rudziński

1977

Colloid Polymer Sci

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Section: Resultsmentioning

confidence: 91%

Section: Resultsmentioning

confidence: 95%

Section: Effects Of Surface Heterogeneitymentioning

confidence: 99%

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On the formation of multilayers in adsorption from binary liquid mixtures

Ościk¹,

Dąbrowski²,

Rudziński

1977

Colloid Polymer Sci

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“…Adsorption of one dilute component in a multicomponent liquid mixture can be described by an equation similar to Eq. [13] if all the other components in the mixture show a similar type of interaction with the adsorbent surface while the dilute component shows completely different behavior (3,18). In this case, ε characterizes the difference in adsorption energy between the dilute component and all the other components in the mixture.…”

Section: Adsorption Energy Distributionmentioning

confidence: 93%

Heterogeneity of Surface Energies in Reversed-Phase Perfusive Packings

Geng

Loh

2001

Journal of Colloid and Interface Science

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“…Therefore, the method of determining the distribution function Z(e), proposed by Cerofolini (6) can be mostly limited by the fact that it can be only used to describe adsorbents with a distribution function X(e) showing one maximum. It is, however, known that the majority of adsorbents are characterized by very differentiated heterogeneous surfaces with respect to energy (19)(20)(21)(22)(23).…”

mentioning

confidence: 99%

Determination of energy distribution function from observed adsorption isotherms

Jaroniec¹,

Rudziński²,

Sokołowski³

et al. 1975

Colloid Polymer Sci

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One of great unsolved problems of physical adsorption is the influence of heterogeneity on adsorptive properties of adsorption systems (1). Many theoretical procedures have been proposed in order to describe the heterogeneity effects (2-10). One of the most widely known and often used procedures is the integral representation for the overall adsorption isotherm Otwhere 01 is the local adsorption isotherm, )~(e) is the differential energy distribution, and Q is the range of possible variation of the adsorption energy e. The most interesting problem here is to solve the eq. [1] with respect to the function Z(e), when Ot and 01 are known as analytical expressions.Hobson and Armstron9 (11) were the first who investigated theoretically the Dubinin-Radushkievieh equation (D -R) as the overall adsorption isotherm. The D -R isotherm firstly proposed, and widely verified for porous adsorbents (12), has been found to hold for many non-porous adsorbents (metals, glasses) in the submonolayer range. The source of this success has been theoretically investigated by Hobson (13), Haul and Gottwald (14), Ricca, Medana and Bellardo (15), Sparnaay (8), and Marsh and Rand (16). Their results suggested that the D -R behaviour is due to a particular structure of the adsorbing surfaces.Most advanced theoretical results are due to Misra (9) and Cerofolini (6). Assuming that 01 corresponds to a Langmuir isotherm 0~(e,p)= 1 + --e x p ~-~[2] P they have pointed out though in different ways, that the D -R isotherm is related to special distribution Z (s), which is probably characteristic for the majority of heterogeneous adsorbents. Constant K is connected with the molecular partition function for molecules from the monolayer.These results has been obtained by Misra (9) by solving the Stieltjes transform, which is obtained from eq. [1], using the Langmuir isotherm for 01 (17) and by Heer (18) on the basic of statistical mechanics.Cerofolini ( Above B and Pm are two characteristic constants in the equation D-R. However, the energy s and the minimal adsorption energy s,. are given by the following relations P --.[5] e = -R T l n -~ and sm= RTIn K PmAs it appears from the eqs.[4] and r5] the form of the distribution function X(s) depends on the

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Adsorption from solutions on patchwise heterogeneous solids

Cited by 29 publications

References 11 publications

On the formation of multilayers in adsorption from binary liquid mixtures

On the formation of multilayers in adsorption from binary liquid mixtures

Heterogeneity of Surface Energies in Reversed-Phase Perfusive Packings

Determination of energy distribution function from observed adsorption isotherms

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