title: Analysis of the ideal model for a single component in preparative gradient elution chromatography.
abstract: The analytical solutions of the ideal model of chromatography for a single component were studied by using the method of characteristics for solving partial differential equations. By assuming that the mobile-phase gradient entering the column is not affected by any sorption of mobile-phase solvents on the column, we demonstrated that the stationary-phase concentration of the component is kept constant along the characteristic curve irrespective of the isotherm and gradient profile used. By using this property and assuming a Langmiur isotherm, we also calculated the band profiles for single linear, stepwise, and ladderlike gradients, respectively. These band profiles were compared with those computed by using the finite-difference method. The results were found to be in good agreement.
authors.affiliation: Department of Chemistry, Fudan University, Shanghai 200433, China.
authors.forename: Weiqiang
authors.initials: W
authors.lastname: Hao
authors.forename: Xiangmin
authors.initials: X
authors.lastname: Zhang
authors.forename: Fengli
authors.initials: F
authors.lastname: Hu