Work

A New Analytical Formulation for the Electrophoretic Mobility of a Colloidal Sphere

Year: 2025

Type: article

Abstract: A new analytical equation for the electrophoretic mobility of a colloidal sphere, homogeneously charged, is derived. This equation reduces to the well-known Henry’s formulation for low surface potentials. For high surface potentials, the equation is compared to the full numerical result. It is found that the equation performs well up to surface potentials of 50 mV. For larger surface potentials, the equation performs well for κa>10, where κ is the inverse of Debye’ s length and a the radius of the particle. Differences between analytical and numerical solutions for κa<10 are studied. The case of a particle with a constant surface charge is discussed. In that case, a very simple equation relates the surface charge of the particle to the electrophoretic mobility for κa>10.

Source: Entropy

DOI: 10.3390/e27040336

Authors: Angela Casarella, Simon Gourdin-Bertin, Claire Chassagne

Institutions: Chalmers University of Technology, Delft University of Technology

Language: English

Topic: Electrostatics and Colloid Interactions

Subfield: Physical and Theoretical Chemistry

Field: Chemistry

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W4408777508

FWCI: 0.437

Cites: 15

Cited by: 1

Related to: 10