The stochastic theory of chromatography is reconsidered through the fundamental characteristic function method of the probability theory. The means of obtaining expressions for plate height H, specific asymmetry Z, and specific flatness F is described, and six different chromatographic models of progressively greater complexity are analyzed. All the models assume a constant mobile-phase velocity and equal sorption sites and do not take into account flow pattern and mobile-phase diffusion effects. The role of the random nature of both the stationary-phase entries and the sorption processes is considered from a general point of view. The rate of convergence toward the Gaussian law is described by using the general Berry-Essden theorem of the probability theory, and the approximation properties of the Edgeworth-Cramer series are described for a general chromatographic model. Examples of mixed retention on a single site by a bifunctional solute molecule are given, and influence on the peak shape is described.
The characteristic function method in the stochastic theory of cromatography
DONDI, Francesco;REMELLI, Maurizio
1986
Abstract
The stochastic theory of chromatography is reconsidered through the fundamental characteristic function method of the probability theory. The means of obtaining expressions for plate height H, specific asymmetry Z, and specific flatness F is described, and six different chromatographic models of progressively greater complexity are analyzed. All the models assume a constant mobile-phase velocity and equal sorption sites and do not take into account flow pattern and mobile-phase diffusion effects. The role of the random nature of both the stationary-phase entries and the sorption processes is considered from a general point of view. The rate of convergence toward the Gaussian law is described by using the general Berry-Essden theorem of the probability theory, and the approximation properties of the Edgeworth-Cramer series are described for a general chromatographic model. Examples of mixed retention on a single site by a bifunctional solute molecule are given, and influence on the peak shape is described.I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
