The name is absent

Chapter 4

The equations for Gouy-Stern-Grahame model are as follows:^{[16L [17]}

σ_s+σ_i+σ_d=0                                               [4.1]

ψ_s~ψ_i=-                                       [4.2]

^εb

Vi-Vd=²-^-                                           [4-3]

^εd

σ_d = -sign(σ_d){2^T^ς⁰[exp(-z_i.e^∕^T)-l]}^ιz2                      [4.4]

i

b and d: thickness of compact layer and diffuse layer.

σ_s, σ∣ and σ_d: charge density of solid surface, Stern layer and diffuse layer.

ψ_s, ψ∣ and ψ_d: potential of solid surface, IHP and OHP.

ε_b and ε_d: permittivity in compact layer and diffuse layer.

z∣: valency of ion species.

ε: permittivity of bulk solution.

C∕°: concentration of ion species i in the bulk.

Gouy-Stern-Grahame model can be simplified if making assumptions are

made.

1) The shear surface coincides with the Outer Helmholtz Plane (OHP), thus
zeta potential ζ = ψ_d.

2) The charge of solids surface and Stern layer are combined into net

surface charge, σo = σ_s + σ,.

Ill

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