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Migration and elution equations in gradient liquid chromatography.

Leonid M Blumberg1

  • 1Advachrom, P.O. Box 1243, Wilmington, DE, 19801, USA.

Journal of Chromatography. A
|June 2, 2019
PubMed
Summary
This summary is machine-generated.

The fundamental equation for gradient elution (FEGE) is expanded for non-uniform solvent velocity. New equations predict solute migration in gradient liquid chromatography (LC) under dynamic conditions, improving accuracy for complex separations.

Keywords:
Absolute void timeGeneral elution equationGeneral migration equationSolute mobile timeSolute stationary timeSolvent-controlled solute-column interaction

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Area of Science:

  • Analytical Chemistry
  • Chromatography
  • Separation Science

Background:

  • The fundamental equation for gradient elution (FEGE) traditionally applies to uniform, static conditions in liquid chromatography (LC).
  • Existing models often fail to account for dynamic changes in solvent velocity and column properties during gradient elution.
  • The general migration equation offers broader applicability across different chromatography types but requires adaptation for specific gradient LC scenarios.

Purpose of the Study:

  • To extend the validity of the FEGE to include non-uniform solvent velocities in gradient LC.
  • To develop new migration equations for gradient LC under various unconventional operational conditions, including dynamic solvent velocity.
  • To identify and evaluate novel time parameters characterizing mobile phase flow in gradient LC.

Main Methods:

  • Derivation of gradient LC migration equations starting from the general migration equation.
  • Analysis of operational conditions including non-uniform, non-static solvent velocities and the Neue-Kuss retention model.
  • Theoretical and numerical prediction of solute migration times under diverse gradient elution scenarios.

Main Results:

  • The conditions for FEGE validity were successfully expanded to encompass non-uniform solvent velocities.
  • The FEGE was found to be invalid for gradient LC with dynamic solvent velocities, such as those occurring at constant pressure.
  • New migration equations were developed and applied to unconventional gradient LC operations, revealing several new mobile phase flow time parameters.

Conclusions:

  • The study successfully generalized migration equations for gradient LC, enhancing their applicability beyond conventional uniform conditions.
  • Limitations of the FEGE in dynamic gradient LC scenarios were highlighted, necessitating the use of newly developed equations.
  • The identified time parameters offer new insights into mobile phase behavior, aiding in method development and optimization for complex separations.