Application of generalized two-dimensional correlation theory to gel permeation chromatographic analysis

Two-dimensional Correlation Gel Permeation Chromatography (2D GPC) Study of Aggregate–Aggregate Interactions during Polymerization of 3-(Triethoxysilyl)propyl-terminated Polystyrene

“…The time-resolved GPC trace intensity IðE; tÞ can be expressed as a function of the chromatographic elution time E and the sampling time t of the polymerization reaction for each aliquot collected during the period between T min and T max . [10][11][12]14 The reference GPC trace " I IðEÞ is set to be the time-average of trace profiles over the observation period, defined by…”

“…[10][11][12][13][14] It has been found that 2D correlation GPC spectra reflect directly the reaction mechanism of a polymerization process. [12][13][14] For the HCl-catalyzed polymerization of perfluorooctyl-triethoxysilane, 2D correlation GPC results have demonstrated that each elution band consists of two (reactive and less-reactive) components and that rapid growth of the polymeric aggregates may be caused by the appearance of the reactive components.…”

“…[12][13][14] For the HCl-catalyzed polymerization of perfluorooctyl-triethoxysilane, 2D correlation GPC results have demonstrated that each elution band consists of two (reactive and less-reactive) components and that rapid growth of the polymeric aggregates may be caused by the appearance of the reactive components. 13 In 2D correlation GPC, [10][11][12][13][14] a series of GPC traces is collected as a function of the sampling time, e.g., reaction time during the course of polymerization. The time-resolved GPC traces are then converted to two-dimensional correlation spectra by using a simple mathematical cross-correlation analysis.…”

Concentration-resolved 2D correlation gel permeation chromatography study of aggregate–aggregate interactions in the polymerization products of triethoxysilyl-terminated polystyrene silane-coupling agent

“…The concentration-resolved GPC intensity I(E, C ) is expressed as a function of chromatographic elution time E and the initial concentration C of the monomer, which is used in the reaction for each aliquot prepared in the range between the minimum concentration (C min ) and maximum concentration (C max ) [13][14][15][16][17]. The dynamic GPC trace intensityĨ(E, C ) of the concentration-resolved GPC profile can be defined as…”

Two-dimensional correlation analysis of the reproducibility of high-performance liquid chromatography columns

“…The first breakthrough was the work of Izawa et al [6]. In their study, the foundations of the two-dimensional correlation gel permeation chromatography (2D-GPC) were established [6].…”