DOI: 10.1002/recl.19580770911. Corrections of the theory of the flat diffuse double layer

Corrections of the theory of the flat diffuse double layer

10.1002/recl.19580770911

Crossref journal-article

Wiley

Recueil des Travaux Chimiques des Pays-Bas (311)

Abstract

AbstractThe potential distribution in the diffuse part of the ionic double layer, which is formed at the interface between a solid and an electrolyte solution, is given by the Poisson Boltzmann equation. This equation, involving some approximations, is modified such, that now the following effects are included: The effect of ionic sires. The effect of the dependence of the dielectric constant upon the ionic concentration and upon the electric field, present near the interface. Two opposed tendencies can be distinguished here: a) the solution near the interface is polarized [Prigogine, Mazur and Defay) usually giving rise to a decrease of the ionic concentration near the interface; b) Coulomb interactions near the interface, between the ions and the interface, are different from those, predicted from the unmodified theory. This will give rise to a relative increase of the ionic concentration. It appears, that tendency b) outweighs tendency a).A flat interface and a 1‐1 electrolyte solution are considered only. The effects are represented as correction terms added to the original Poisson Boltzmann equation. The new equation is integrated using elementary methods. The result of the calculations is, that corrections are negligibly small, when the electrolyte concentration is of the order of 10−3 normal. When the concentration is 10−2 normal, the corrections amount to 10‐20% of the value of the double layer potential, whereas the given treatment breaks down, when the concentrations are 10−1 normal or higher.

Bibliography

Sparnaay, M. J. (1958). Corrections of the theory of the flat diffuse double layer. Recueil Des Travaux Chimiques Des Pays-Bas, 77(9), 872â888. Portico.

Authors 1

M. J. Sparnaay (first)

References 30 Referenced 85

{'key': 'e_1_2_1_1_2', 'volume-title': 'Colloid Science', 'author': 'Kruyt H. R.', 'year': '1952'} / Colloid Science by Kruyt H. R. (1952)
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{'key': 'e_1_2_1_2_2', 'first-page': '770', 'volume': '29', 'author': 'Malsch J.', 'year': '1928', 'journal-title': 'Physik. Z.'} / Physik. Z. by Malsch J. (1928)
{'key': 'e_1_2_1_2_3', 'first-page': '837', 'volume': '30', 'year': '1929', 'journal-title': 'Physik. Z.'} / Physik. Z. (1929)
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10.1051/jcp/1953500146 / J. Chim. phys. by Prigogine I. (1953)
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{'key': 'e_1_2_1_7_3', 'first-page': '108', 'volume': '39', 'year': '1952', 'journal-title': 'Naturwissenschaften'} / Naturwissenschaften (1952)
{'key': 'e_1_2_1_7_4', 'first-page': '354', 'volume': '55', 'year': '1951', 'journal-title': 'Z. Elektrochemie'} / Z. Elektrochemie (1951)
{'key': 'e_1_2_1_7_5', 'first-page': '551', 'volume': '56', 'year': '1952', 'journal-title': 'Z. Elektrochemie'} / Z. Elektrochemie (1952)
{'key': 'e_1_2_1_7_6', 'first-page': '161', 'volume': '8', 'year': '1953', 'journal-title': 'Z. Naturforsch.'} / Z. Naturforsch. (1953)
10.1524/zpch.1955.3.3_4.135
10.1088/0370-1298/66/4/308
H. B. G.Casimir Contribution to a symposium held at Utrecht by the Nederlandse Chemische Vereniging on July 3rd and 4th1944.
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10.1063/1.1749393
10.1088/0370-1298/66/4/307
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H.Falkenhagen Elektrolyte 2nd ed. Leipzig1953 p.168.
J. D.van der WaalsandP.Kohnstamm Lehrbuch der Thermostatik I. Leipzig1927.114.
{'issue': '2', 'key': 'e_1_2_1_18_2', 'first-page': '263', 'volume': '12', 'author': 'Lange E.', 'year': '1933', 'journal-title': 'Handbuch der Experimentalphysik'} / Handbuch der Experimentalphysik by Lange E. (1933)
10.1524/zpch.1957.10.3_4.156
{'key': 'e_1_2_1_20_2', 'first-page': '713', 'volume': '58', 'author': 'Scatchard G.', 'year': '1954', 'journal-title': 'J. Phys. Chem.'} / J. Phys. Chem. by Scatchard G. (1954)
M. J.Sparnaay Disc. Faraday Soc.Sept.1957(Both discussion remarks).
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10.1039/tf9575300306

Dates

Type	When
Created	14 years, 11 months ago (Sept. 14, 2010, 1:19 a.m.)
Deposited	1 year, 9 months ago (Nov. 13, 2023, 6:59 p.m.)
Indexed	1 month, 3 weeks ago (July 2, 2025, 12:37 p.m.)
Issued	67 years, 7 months ago (Jan. 1, 1958)
Published	67 years, 7 months ago (Jan. 1, 1958)
Published Online	14 years, 11 months ago (Sept. 2, 2010)
Published Print	67 years, 7 months ago (Jan. 1, 1958)

Funders 0

None

BibTeX

@article{Sparnaay_1958, title={Corrections of the theory of the flat diffuse double layer}, volume={77}, ISSN={0165-0513}, url={http://dx.doi.org/10.1002/recl.19580770911}, DOI={10.1002/recl.19580770911}, number={9}, journal={Recueil des Travaux Chimiques des Pays-Bas}, publisher={Wiley}, author={Sparnaay, M. J.}, year={1958}, month=jan, pages={872–888} }

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