A simpler expression for Henry's function describing the electrophoretic mobility of spherical colloids.

Area of Science:

• Colloid and Surface Science
• Physical Chemistry
• Electrochemistry

Background:

• Electrophoretic mobility is crucial for characterizing colloidal particles.
• Existing models for Henry's function are accurate but can be complex.
• Low surface potential approximations are widely used in colloid science.

Purpose of the Study:

• To develop a simpler, approximate expression for Henry's function.
• To model electrophoretic mobility under low surface potential conditions.
• To provide a generalized approach for particle mobility calculations.

Main Methods:

• Physical analogy to a linearly slipping surface.
• Mathematical derivation of an approximate Henry's function.
• Comparison with existing Henry's function for error analysis.

Main Results:

• A novel approximate expression for Henry's function was derived.
• The approximation shows a high accuracy, with a relative error below 0.1%.
• The method was extended for generalized electrophoretic mobility calculations.

Conclusions:

• The developed approximate Henry's function offers a computationally efficient alternative.
• This approach provides valuable insights into colloidal particle behavior.
• Further validation is needed for the generalized mobility calculations.