M.Zharkikh's personal site logo
Mail to site
Print version
News (RSS)
Colloid science / Electrical double layer / Structure of an electric double layer in a flat capillary

Structure of an electric double layer in a flat capillary

Zharkikh N. I., Dukhin S. S.

A function of the relationship between a wall charge with its potential ψs and the potential at the slit centre are the main characteristics of the structure of a double electric layer in a flat slit. For the simplest model (e. g. 1—1-valence elecrolyte, and equal charges on walls) the possibilities for obtaining analytic expressions for the aforesaid dependences have been analyzed on the basis of the following suppositions: κh >> 1; κh << 1; |Fψs/RT| << 1 (where κ is the inverse Debye radius; р is the slit half-width). These inequalities yield the first and second approximations and formulas holding with the simultaneous fulfilling of two inequalities (for instance, κh << 1 and |Fψs/RT| << 1). In total, there are derived 14 explicite formulas. Presented is a diagram showing the arrangement of the fields of their applicability on a ψs — κh plane.


1. Дерягин Б. В. Успехи химии, 1979, т. 48, № 7, с. 675.

2. Derjaguin В. V., Dukhin S. S., Shilov V. N. Adv. Colloid Interface Sci., 1980, v. 13, p. 153.

3. Derjaguin B. V., Churaev N. V., Martynov G. A. J. Colloid. Interface Sci., 1980, v. 75, N 2, 419.

4. Духин С. С., Эстрела-Льопис В. Р., Жолковский Э. К. Электроповерхностные явления и электрофильтрование. Киев: Наук, думка, 1984, с. 288.

5. Derjaguin B. V. Kolloid-Z., 1934, В. 69, № 2, S. 155.

6. Чураев Н. В., Дерягин Б. В. Докл. АН СССР, 1966, т. 169, № 2, с. 369

7. Healy Т. W., Chan D., White L. R. Pure Appl. Chem., 1980, v. 52, p. 1207

8. Devereux D. F., de Bruin P. L. Interaction of Plane Parallel Double Layers, Massa-chusets Institute of Technology, The MIT Press, 1963.

9. Муллер В. M. Коллоид. журн., 1976, т. 38, № 4, с. 704.

10. Дерягин Б. В., Чураев Н. В. Коллоид. журн., 1976, т. 38, № 3, с. 438.

11. Муллер В. М. В сб.: Поверхностные силы в тонких пленках и устойчивость коллоидов. М.: Наука, 1974, с. 245.

12. Муллер В. М. В сб.: Исследования в области поверхностных сил. М.: Наука, 1967, с. 272.

13. Verwey Е. I. W., Overbeek J. Th. G. Theory of the Stability of Lyophobic Colloids. N. Y. — Amsterdam: Elsevier Publ., 1948, p. 148.

14. Шилов В. Н. Коллоид. журн., 1972, т. 34, № 1, с. 147.

15. Шилов В. Н. Коллоид. журн., 1972, т. 37, № 6, с. 1143.

16. Справочник по специальным функциям/Под ред. Абрамовича М. А., Стиган И. М.: Наука, 1979. 832 с.

17. Янке Е., Эмде Ф., Леш Ф. Специальные функции: формулы, графики, таблицы. М.: Наука, 1977. 343 с.

Colloid and water chemistry institite, Academy of sciences of Ukraine, Kyiv

Received 10 Dec 1985

Published : Colloid Journal (Moscow), 1986, vol. 48, № 5, p. 891 – 900.

Full text in russian language.

Download free full text of the work ( 1.04 Mbytes)

Previous article | List of articles | Next article

Please this page? Help us to develop this site!

© 1978 – 2018 N.I.Zharkikh

Reprinting of articles from site are encouraged while
reference (hyperlink) to my site is provided

Site powered by

Load count : 1406

Modified : 25.08.2013

If you look up the type error
on this page, please select it
by mouse and press Ctrl+Enter.