Condensed Matter Physics, 2007, vol. 10, No. 3(51), p. 323-330, English
DOI:10.5488/CMP.10.3.323

Title: Application of a recently proposed test to the hypernettedchain approximation for the electric double layer
Author(s):
  D.Henderson (Depament of Chemistry and Biochemistry,Brigham Young University, Provo UT 84602-5700) ,
  M.Alawneh (Depament of Chemistry and Biochemistry,Brigham Young University, Provo UT 84602-5700) ,
  R.Saavedra-Barrera ( Depamentof Physics, Universidad Autónoma Metropolitana, ApaadoPostal 55-534, 09340 México, DF, México) ,
  M.Lozada-Cassou (Molecular Engineering Research Program, Instituto Mexicano delPetroleo, Apaado Postal 14-805, 07730 México DF,México) ,

Bhuiyan, Outhwaite, and Henderson, J. Electroanal. Chem., 2007, 607, 54, have studied the electric double layer formed by a symmetric electrolyte in the restricted primitive model and suggested that an examination of the product of the coion and counter ion profiles, normalized to the one when the distance of an ion from the electrode is large, is an interesting and useful test of a theory. This product is identically one in the Poisson-Boltzmann theory but simulation results show that, at contact, this product can be greater or smaller than one at small electrode charge but always seems to tend to zero at large electrode charge. In this study we report the results of the hypernetted chain approximation (HNC/MSA version) for this product and find that, at contact, for this theory this product is always greater than the one at small electrode charge but tends to zero at large electrode charge.

Key words: double layer, ion profiles, integral equations, hypernetted chain approximation
PACS: 5.10.Ln, 5.20.Jj, 61.21, 82.45.+z


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