Langmuir’s Theory of Adsorption: A Centennial Review

Swenson, Hans; Stadie, Nicholas P.

doi:10.1021/acs.langmuir.9b00154

Cited by 322 publications

(277 citation statements)

References 117 publications

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“…Comparing R 2 values, the Langmuir adsorption isotherm model is more consistent with the data of this adsorption experiment, which indicates that the BiFeO 3 /biochar coupled magnetic material has a uniform surface and uniformly distributed adsorption sites. The good fit of the model indicates that a single-layer adsorption reaction may occur because the Langmuir adsorption isotherm model is based on the assumption that only monolayer adsorption occurs on the surface of the adsorbent [48,49]. In addition, the parameters of the Temkin isotherm adsorption model show that the binding energies (b T ) in the three systems in this study are 0.969, 0.707, and 0.811 kJ•mol −1 .…”

Section: Adsorption Isothermsmentioning

confidence: 62%

Design and Preparation of Chitosan-Crosslinked Bismuth Ferrite/Biochar Coupled Magnetic Material for Methylene Blue Removal

Cai

Jiang

Liu

et al. 2019

IJERPH

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Biochar obtained by pyrolysis of the fiber plant kenaf was mixed with bismuth ferrite (BiFeO3) in a chitosan-containing acetic acid solution, magnetized, and modified to prepare a chitosan-crosslinked BiFeO3/biochar coupled magnetic material. The adsorption properties of the composite were investigated using methylene blue dissolved in water, and the effects of external conditions, such as pH, methylene blue concentration, reaction time, and temperature, on the adsorption performance were studied. The adsorption data were fitted and analyzed with kinetic and isotherm models, and the results showed that the BiFeO3/biochar coupled magnetic material effectively adsorbed methylene blue. The amounts adsorbed onto this magnetic material increased with increasing initial methylene blue concentration, reaction time, and temperature, and the adsorption performance improved under neutral and alkaline conditions. The pseudo-first-order kinetic and Langmuir isotherm models satisfactorily fitted the adsorption data, showing that the adsorption of methylene blue involved both chemical and physical adsorption. The maximum adsorption capacity of methylene blue onto the BiFeO3/biochar coupled magnetic material reached 18.942 mg·g−1 at 25 °C, confirming the excellent dye binding activity of this material.

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Section: Adsorption Isothermsmentioning

confidence: 62%

Design and Preparation of Chitosan-Crosslinked Bismuth Ferrite/Biochar Coupled Magnetic Material for Methylene Blue Removal

Cai

Jiang

Liu

et al. 2019

IJERPH

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“…The models provide the fraction of R/K bound to silica which is again proportional to the measured Henry coefficient. Depending on the interaction strength between the AA and the buffer species in an adsorbed state, we invoke one of the two different kinds of Langmuir models [51] as shown schematically in Figure 4 below. As the name suggests, in the noncooperative model ( Figure 4a) the interaction between the adsorbates (A and B) are neglected while the cooperative model ( Figure 4b) is formulated assuming an interaction between the adsorbates.…”

Section: Binding Of R and K To Silica In Presence Of Tris Buffermentioning

confidence: 99%

“…Although, Langmuir model was originally developed to study adsorption from the gas phase, the model is much more general and appears in variety of other physical situations (e. g. ligand binding to protein) described by a simple combination reaction where loss of mass action is valid in equilibrium. [51] Therefore, use of Langmuir model to describe adsorption in Liquid-Solid interface is fully justified. Esposito et al [53] fitted their experimental adsorption isotherm with this kind of multicomponent Langmuir model to study the bio-separation of metal ions.…”

Section: Binding Of R and K To Silica In Presence Of Tris Buffermentioning

confidence: 99%

Buffer Influence on the Amino Acid Silica Interaction

et al. 2020

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Protein-surface interactions are exploited in various processes in life sciences and biotechnology. Many of such processes are performed in presence of a buffer system, which is generally believed to have an influence on the protein-surface interaction but is rarely investigated systematically. Combining experimental and theoretical methodologies, we herein demonstrate the strong influence of the buffer type on protein-surface interactions. Using state of the art chromatographic experiments, we measure the interaction between individual amino acids and silica, as a reference to understand protein-surface interactions. Among all the 20 proteinogenic amino acids studied, we found that arginine (R) and lysine (K) bind most strongly to silica, a finding validated by free energy calculations. We further measured the binding of R and K at different pH in presence of two different buffers, MOPS (3-(N-morpholino)propanesulfonic acid) and TRIS (tris(hydroxymethyl)aminomethane), and find dramatically different behavior. In presence of TRIS, the binding affinity of R/K increases with pH, whereas we observe an opposite trend for MOPS. These results can be understood using a multiscale modelling framework combining molecular dynamics simulation and Langmuir adsorption model. The modelling approach helps to optimize buffer conditions in various fields like biosensors, drug delivery or bio separation engineering prior to the experiment.

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“…We first briefly review the classic, single-site Langmuir adsorption model, 47 to which we will compare our RMS-MOF model. The unit cell of a Langmuirian MOF offers a single, independent gas adsorption site, .…”

Section: Background: the Langmuir Adsorption Modelmentioning

confidence: 99%

Statistical Mechanical Model of Gas Adsorption in a Metal-Organic Framework Harboring a Rotaxane Molecular Shuttle

Carney¹,

Roundy²,

Simon³

2020

Preprint

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Metal-organic frameworks (MOFs) are modular and tunable nano-porous materials with applications in gas storage, separations, and sensing. Flexible/dynamic components that respond to adsorbed gas can give MOFs unique or enhanced adsorption properties. Here, we explore the adsorption properties that could be imparted to a MOF by a rotaxane molecular shuttle (RMS) in its pores. In the unit cell of an RMS-MOF, a macrocyclic wheel is mechanically interlocked with a strut of the MOF scaffold. The wheel shuttles between stations on the strut that are also gas adsorption sites. At a level of abstraction similar to the seminal Langmuir adsorption model, we pose and analyze a simple statistical mechanical model of gas adsorption in an RMS-MOF that accounts for (i) wheel/gas competition for sites on the strut and (ii) gas-induced changes in the configurational entropy of the shuttling wheel. We determine how the amount of gas adsorbed, position of the wheel, and differential energy of adsorption depend on temperature, pressure, and the interactions of the gas/wheel with the stations. Our model reveals that, compared to a rigid, Langmuir material, the chemistry of the RMS-MOF can be tuned to render gas adsorption more or less temperature-sensitive and to release more or less heat upon adsorption. The model also uncovers a non-monotonic relationship between the temperature and the position of the wheel if gas out-competes the wheel for its preferable station.

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Langmuir’s Theory of Adsorption: A Centennial Review

Cited by 322 publications

References 117 publications

Design and Preparation of Chitosan-Crosslinked Bismuth Ferrite/Biochar Coupled Magnetic Material for Methylene Blue Removal

Design and Preparation of Chitosan-Crosslinked Bismuth Ferrite/Biochar Coupled Magnetic Material for Methylene Blue Removal

Buffer Influence on the Amino Acid Silica Interaction

Statistical Mechanical Model of Gas Adsorption in a Metal-Organic Framework Harboring a Rotaxane Molecular Shuttle

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