Moment analysis of chromatographic behavior in reversed‐phase liquid chromatography

Abstract

Chromatographic behavior, such as sample retention, band broadening, elution peak profile, column efficiency, separation performance, and so on, depends on both the retention equilibrium and mass transfer kinetics in the column. A great number of research works have been carried out so far on the retention equilibrium in chromatography. However, chromatographic behavior has not so abundantly been investigated from kinetic points of view because of some essential difficulties of kinetic study. Additionally, in contrast with the extensive applications of various HPLC instruments and separation media developed in recent decades, it seems that arrangements of theoretical bases and experimental strategies relating to the kinetic study are not well recognized by most chromatographers. In this review, some items of information about the moment analysis method and concrete examples about mass transfer kinetics derived by the method are provided. The progress of some strategies for the kinetic study on chromatography is also introduced.

Linear general rate model of chromatography for core–shell particles: Analytical solutions and moment analysis

“…Guiochon et al (2006), Kucera (1965), Miyabe (2007), Miyabe (2009), Ruthven (1984, and Schneider and Smith (1968) as well as Suzuki and Smith (1971). The Laplace transformation can be used as a basic tool to obtain moments.…”

“…Moment analysis has been comprehensively discussed in the literature for fully porous particles, see for example , , Kucera (1965), Schneider and Smith (1968), Suzuki (1973), Wolff et al (1979), Wolff et al (1980), Ruthven (1984), Lenhoff (1987), Gengliang and Zhide (1996), Antos et al (2003), Guiochon et al (2006), Miyabe and Guiochon (2000, 2007, 2009. In these partly classical papers analytical expressions have been generated for specific chromatographic models and boundary conditions.…”

Analytical solutions and moment analysis of chromatographic models for rectangular pulse injections

“…Moment analysis is an effective method for deducing important information about the retention equilibrium and mass transfer kinetics in the column [3,4,9,12,13,15,17,18,23]. The first and second moments predict the retention time and variance of the concentration profiles, respectively.…”

“…The moments are used to get expressions for retention times, band broadenings, front asymmetries and kurtosis. Such moment analysis is well-known and the approach has been found instructive in the literature [3,4,[7][8][9][10][11][12][13][15][16][17][18]. In this manuscript, the first four moments of the EDM and LKM are derived analytically for rectangular pulse injections under linear conditions.…”

Kinetic Study of the Intermolecular Interaction between 2-Phenoxypropionic Acid and β-Bromo-cyclodextrin Affixed on the Stationary Phase by Liquid Chromatography

“…Both PR [24][25][26] and PP 27 experiments were conducted under SEC and chiral separation conditions for deriving information about some related parameters. The experimental conditions are explained in Supporting Information.…”