Line of charges in electrolyte solution near a half-space: II. Electric field of a single charge

The electric potential of a single charge in electrolyte solution near a dielectric or a semiconducting half-space is determined in closed form when the electrostatics is described by the linear Debye–Hückel (D–H) equation. The electric potential strongly depends on the Debye length of the solution, the substrate-to-solution dielectric constant ratio, and the Debye length of the semiconductor. The technique of Hankel transforms is shown to be a useful tool in solving such axially symmetric boundary value problems for the D–H equation.

Graphical abstractElectric field of a single charge in an electrolyte solution and above a half-space is determined in closed form for different electronic properties of the half-space.Figure optionsDownload full-size imageDownload as PowerPoint slide