Kohlrausch regulating function and other conservation laws in electrophoresis

Area of Science:

• Analytical Chemistry
• Physical Chemistry
• Separation Science

Background:

• Electrophoresis relies on conservation laws, like the Kohlrausch regulating function (KRF), for calculating constituent concentrations.
• Electrophoretic systems can exhibit conservation behavior, linked to system eigenmobilities and stationary zones (e.g., water peak).

Purpose of the Study:

• To review and derive conservation functions in electromigration.
• To explore conservation laws in multivalent electrolyte systems.
• To discuss nonconservation behavior in electrophoretic systems.

Main Methods:

• Review of existing literature on electromigration conservation functions.
• Derivation of historical and novel conservation functions.
• Analysis of systems with multivalent electrolytes.
• Discussion of nonconservation electrophoretic systems.
• Dynamic simulation and graphical depiction of conservation functions.

Main Results:

• Identified two types of electrophoretic systems: conservation and nonconservation.
• Demonstrated the relationship between zero eigenmobility and conservation functions/stationary zones.
• Derived new conservation functions for multivalent electrolytes.
• Illustrated conservation function behavior through simulations.

Conclusions:

• Conservation laws are fundamental to understanding specific electrophoretic systems.
• The presence of near-zero eigenmobility indicates a conservation system and a stationary zone.
• This work provides a framework for analyzing diverse electrophoretic behaviors, including nonconservation systems.