Calculation of Suspension Peptization Page: 15
134 p. : graphs, tables ; 28 cm.View a full description of this report.
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generalized results, which are discussed below, can be applied to particular
situations defined by particle radius, surface potential, ionic concentra-
tion, valence of the counterion, and temperature. The following development
of the repulsive potential energy follows closely that later given by Over-
beek (1952).
The Gouy-Chapman concept of the diffuse double layer can be established
by applying three equations to the physical system of a charged surface in
contact with an ion-containing solution. The charged surface tends to at-
tract ions of opposite sign and repel ions of the same sign. The first
equation, Poisson's, relates the electrical potential to the distribution
of mobile charge (Overbeek, p. 128, eq. 37).
I_ (19)
2 2 2
where A = the LaPlace operator, + + 2
dx 3y 8z
-f*= electrical potential at any point relative to that in the
solution far from the solid interface
p = charge density in amount per unit volume
E = dielectric constant
The use of this equation is simplified by assuming that (1) the charge
density is uniform over the surface, (2) the charges in solution exist
as points, and (3) the solvent is a continuous medium that influences
the double layer only through its dielectric constant.
The second equation relates the ion concentration at any point to
the electrical potential at the same point (Overbeek, p. 128, eq. 38):
zierf-
ni = oe exp - kT (20)
where ni = concentration of ith ion (number per unit volume)
nio = concentration of ith ion far from the surface
zi = valence (including sign) of the ith ion
e = charge of the electron
k = Boltzmann constant
T = temperature15
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Sweeton, F. H. Calculation of Suspension Peptization, report, 1960; Oak Ridge, Tennessee. (https://digital.library.unt.edu/ark:/67531/metadc100288/m1/17/: accessed April 25, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.