Electrophoresis of soft particles: analytic approximations

Area of Science:

• Colloid and Surface Science
• Polymer Science
• Physical Chemistry

Background:

• Electrophoretic mobility is crucial for understanding particle behavior in electric fields.
• Existing models for soft particle mobility have limitations in scope and applicability.

Purpose of the Study:

• Derive a comprehensive analytic expression for the electrophoretic mobility of weakly charged spherical soft particles.
• Unify and extend existing theoretical frameworks for soft particle mobility.

Main Methods:

• Utilized the general mobility expression for soft particles.
• Developed an approximate analytic expression based on established theoretical principles.

Main Results:

• The derived expression accurately reproduces previously reported approximate results.
• Introduced new mobility formulas applicable to a wide range of soft particle parameters.
• The formula is valid for arbitrary polymer layer thickness, core radius, electrophoretic softness, and Debye length.

Conclusions:

• The new analytic expression provides a versatile tool for predicting electrophoretic mobility in complex soft particle systems.
• This work offers a unified approach to studying spherical polyelectrolytes and soft particles with varying core and layer properties.