Effect of Charge Density Gradient on Characteristics
of Electric Double Layer for Salt Melts

N. K. Tkachev and M. A. Kobelevz

Institute of High-Temperature Electrochemistry, Ural Division Russian Academy of Sciences,
GSP-146, ul. S. Kovalevskoi 22, Ekaterinburg, 620219 Russia

Received October 20, 2006

Abstract—The equilibrium conditions are analyzed for a spatially inhomogeneous ionic liquid using the den-
sity functional theory with allowance made for the second order gradient corrections. Solutions for the distri-
bution of potential and charge density in the electric double layer at the ionic liquid/vapor interface are obtained
using a parameterized total density profile normal to the surface. It is shown that taking into account the effects
of the charge density gradient in the theory results in the appearance of damped oscillations of the charge den-
sity near the surface, while the double layer localized on the surface is reduced.

Key words: asymmetric electrolytes, double electric layer, density functional theory, mean spherical approxi-
mation

DOI: 10.1134/S1023193507120063


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