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. 1998 Jun;64(6):2295–2300. doi: 10.1128/aem.64.6.2295-2300.1998

TABLE 1.

Notations used

Symbol Meaning
ψ Electrostatic potential (volts)
ψD Donnan potential, the constant potential well inside the membrane
ψ0 Surface potential, ψ(x = 0)
ɛ0 8.85419 × 10−12 F/m, vacuum permittivity
ɛm Dielectric constant of the membrane
ρm Fixed charge density in the membrane (C/m3)
ɛs Dielectric constant of the solution
Cib Concentration (mol/m3) of particular ionic species in the bulk, far away from the membrane
N Total number of different ionic species in solution
Zi Charge of ionic species (integer number)
y = Inline graphic Reduced potential (dimensionless number)
yD = Inline graphic Reduced Donnan potential (dimensionless number)
y0 = y(x = 0) Reduced surface potential
F 9.6485 × 104 C/mol (Faraday constant)
R 8.31451 J/(mol K) (universal gas constant)
T Temperature (300 K used)
u dy/dx (gradient of the reduced potential)
I Ionic strength of solution