title: Equivalence between the equilibrium dispersive and the transport model in describing band broadening in analytical gradient liquid chromatography.
abstract: It is shown that the transport (TR) model may be equivalent to the equilibrium dispersive (ED) model in analytical gradient liquid chromatography when the column efficiency is not small. This result is obtained by assuming that the gradient profile is not distorted, the injection is an impulse, and the apparent axial dispersion coefficient (Da) of the ED model or the lumped kinetic coefficient (kfL) of the TR model varies with mobile phase composition. According to this equivalence, the plate height equation derived from the TR model in our previous work (Eq. (91) in Hao et al., 2013) is also suited for the ED model. This conclusion is confirmed by comparing the equation with the results obtained by Gritti and Guiochon from the ED model (Gritti and Guiochon, 2012).
authors.affiliation: High-Tech Research Institute of Nanjing University, Changzhou 213164, China; Key Laboratory of Cigarette Smoke Research, CNTC, Shanghai Tobacco Group Co. LTD, Shanghai 200082, China. Electronic address: haowq@hotmail.com.
authors.forename: Weiqiang
authors.initials: W
authors.lastname: Hao
authors.affiliation: Department of Pharmaceutical Analysis, China Pharmaceutical University, Nanjing 210009, China. Electronic address: ddw888@vip.sina.com.
authors.forename: Bin
authors.initials: B
authors.lastname: Di
authors.affiliation: High-Tech Research Institute of Nanjing University, Changzhou 213164, China.
authors.forename: Bangyi
authors.initials: B
authors.lastname: Yue
authors.affiliation: High-Tech Research Institute of Nanjing University, Changzhou 213164, China.
authors.forename: Qiang
authors.initials: Q
authors.lastname: Chen
authors.affiliation: High-Tech Research Institute of Nanjing University, Changzhou 213164, China; School of Chemical Engineering, Changzhou University, Changzhou 213164, China.
authors.forename: Shun
authors.initials: S
authors.lastname: Wu
authors.affiliation: High-Tech Research Institute of Nanjing University, Changzhou 213164, China; School of Chemical Engineering, Changzhou University, Changzhou 213164, China.
authors.forename: Peipei
authors.initials: P
authors.lastname: Zhang
mesh_terms: D002853:Chromatography, Liquid / Q000379:methods*; D007700:Kinetics; D008962:Models, Theoretical
keywords: Equilibrium dispersive model; Gradient elution; Liquid chromatography; Plate height; Transport model