The Moment Equations of Chromatography for Monolithic Stationary Phases

and, Kanji Miyabe†; Guiochon, Georges

doi:10.1021/jp020555b

Cited by 96 publications

(64 citation statements)

References 56 publications

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“…17,26,27 On the other hand, the moment equations have also been developed for different separation media having various structural characteristics, such as the full-porous cylindrical fibers (monolith) and the superficially porous particles. [29][30][31][32] Similar moment equations for the superficially porous particles were also developed in a different manner. 33,34 Equations (11) and (12) comprehensively indicate the moment equations of μ1 and μ2′ for chromatography using the various packing materials: [29][30][31][32] µ τ ε ε ε ε ε 1 2 1 1 1 1…”

Section: Moment Equationsmentioning

confidence: 99%

Moment Analysis of Chromatographic Behavior of Superficially Porous Particles

2011

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Peak parking experiments were conducted to study the chromatographic behavior in a RPLC system consisting of a column packed with superficially porous C18-particles and a mixture of methanol and water (70/30, v/v). The values of the surface diffusion coefficient and the retention equilibrium constant of a column packed with superficially porous C18-particles were comparable to those of columns packed with a C18-silica monolith and full-porous C18-silica gel particles. The flow-rate dependence of HETP was hypothetically calculated by using moment equations to clarify the influence of the structural characteristics on the chromatographic behavior. The column efficiency of a column packed with the superficially porous particles is higher in the high flow-rate range than that with full-porous spherical particles. This is attributed to the smaller contribution of the intraparticulate mass transfer in the superficially porous particles to band broadening. The moment equations are effective for the quantitative analysis of chromatographic behavior of superficially porous particles.

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Section: Moment Equationsmentioning

confidence: 99%

Moment Analysis of Chromatographic Behavior of Superficially Porous Particles

2011

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“…The moment analysis (MA) method is one of the strategies for extracting information about chemical equilibrium and mass transfer and reaction kinetics from the values of μ1 and μ2′ of the elution peaks. [8][9][10][11][12][13][14][15][16][17][18] In the field of CE, a moment equation for μ1 was proposed to determine the association and dissociation equilibrium constants of intermolecular interactions. 19 Other moment equations have also been developed for CE systems, in which all components in a capillary, i.e., solute, ligand, and solute-ligand complex, simultaneously migrate.…”

Section: Introductionmentioning

confidence: 99%

Moment Analysis of Mass Transfer Kinetics in Micellar Electrokinetic Chromatography Systems

Miyabe

Suzuki

2018

ANAL. SCI.

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Moment equations were developed for quantitatively studying the separation characteristics of micellar electrokinetic chromatography (MEKC). They explain how the first absolute and second central moments of elution peaks are correlated with some fundamental parameters of the partition equilibrium and mass transfer kinetics in MEKC systems. In order to discuss the influence of the mass transfer kinetics on peak broadening, the moment equations were used to analyze the separation behavior in MEKC systems. Separation conditions were chosen on the basis of practical MEKC experiments previously conducted. It was quantitatively clarified that both the solute permeation at the interfacial boundary of surfactant micelles and axial diffusion of solute molecules in a capillary had a predominant contribution to the spreading of the elution peaks in MEKC systems. This is a preliminary study for the analytical determination of rate constants concerning solute permeation at the interface of surfactant micelles from elution peak profiles measured by MEKC. In addition, it was also indicated that the experimental conditions of MEKC systems could be controlled so that the interfacial solute permeation would have a predominant role for the band broadening. For example, the contribution of the interfacial permeation was about 33 times larger than that of the axial diffusion of solute molecules under the MEKC conditions in a previous study. This means that the rate constants could appropriately be determined for the interfacial solute permeation.

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“…Recently [14], it has been shown that all the different analytical expressions for H Cm and H Cs used in the literature [15][16][17][18][19][20][21][22][23][24][25] can all be reduced to the same single expressions although they often appear very different and employ totally different symbols. Slightly adapting the nomenclature from that used in [14] and using a notation that is specific for the presently considered PAC case, these expressions can be written as:…”

Section: Introductionmentioning

confidence: 99%

“…Another poorly tested approximation is that the mass transfer in the mobile and stationary zone occur independently of each other and that their contribution to the observed plate height is therefore additive. In addition, yet another problem is that the mass transfer rate in the mobile zone still has to be estimated from semi-empirical correlations such as the Wilson-Geankoplis [26] or the penetration model [27] that have not been truly validated, not even for non-porous columns [28].…”

Section: Introductionmentioning

confidence: 99%

Modelling the relation between the species retention factor and the C‐term band broadening in pressure‐driven and electrically driven flows through perfectly ordered 2‐D chromatographic media

Wilde

Detobel

Billen

et al. 2009

J of Separation Science

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The band broadening that can be expected in perfectly ordered cylindrical pillar arrays has been calculated for a wide range of intra-particle diffusion coefficients (D sz ) and zone retention factors (0ok 00 o10) using an in-house-developed computational fluid dynamicsalgorithm. Both pressure-driven and electrically driven (PD and ED) flows are considered. In the case of a large intra-pillar diffusion coefficient (D sz /D mol 5 0.5), the minimal reduced plate height varies between h 5 0.8 (low k 00 ) and h 5 1.2 (high k 00 ), while the C-term range of the Van Deemter curve depends only slightly on k 00 . In the case of a small intra-pillar diffusion coefficient (D sz /D mol 5 0.1), h is nearly independent of k 00 and approximately equals h min 5 1.1, while the C-term band broadening decreases strongly with increasing k 00 . The difference between ED and PD flows in perfectly ordered porous pillar arrays is much smaller than in packed beds, generally only 3% difference around the minimum of the plate-height curve and maximally 10% at high-reduced velocities. The generated data sets were also ideal to verify the accuracy of k 00 and D sz dependency of the general plate height model of chromatography. Determining the values of the geometrical parameters appearing in the model through curve fitting, the average fitting error can be reduced to a value of about 1%.

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The Moment Equations of Chromatography for Monolithic Stationary Phases

Cited by 96 publications

References 56 publications

Moment Analysis of Chromatographic Behavior of Superficially Porous Particles

Moment Analysis of Chromatographic Behavior of Superficially Porous Particles

Moment Analysis of Mass Transfer Kinetics in Micellar Electrokinetic Chromatography Systems

Modelling the relation between the species retention factor and the C‐term band broadening in pressure‐driven and electrically driven flows through perfectly ordered 2‐D chromatographic media

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