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Colloid stability 211
Table 8.1 Critical coagulation concentrations (in millimoles per dm^3 ) for hydrophobic
sols^96 (By courtesy of Elsevier Publishing Company)

As2$3 (~ve so/) Agl (—ve sol) A1 2 O 3 (+ve sol)

LiCl
NaCl
KCI
KNO 3
K acetate

CaCI 2
MgCI 2
MgSO 4

A1C1 3
M>A1 2 (SO 4 ) 3
AI(N0 3 ) 3

58
51
49.5
50
110

0.65
0.72
0.81

0.093
0.096
0.095

UNO,
NaNO 3
KNO,
RbNO,
AgN0 3

Ca(N0 3 ) 2
Mg(N0 3 ) 2
Pb(N0 3 ) 2

A1(N0 3 ) 3
La(N0 3 ) 3
Ce(N0 3 ) 3

165
140
136
126
0.01)

2.40
2.60
2.43

0.067
0.069
0.69

NaCl
KCI
KNO 3

K 2 SO 4
K 2 Cr 207
K 2 oxalate

K 3 [Fe(CN) 6 ]

43.5
46
60

0.30
0.63
0.69

0.08

electrolyte causes a compression of the diffuse parts of the double
layers around the particles and may, in addition, exert a specific
effect through ion adsorption into the Stern layer. The sol coagulates
when the range of double-layer repulsive interaction is sufficiently
reduced to permit particles to approach close enough for van der
Waals forces to predominate.
The critical coagulation concentration (c.c.c.) of an indifferent
(inert) electrolyte (i.e. the concentration of the electrolyte which is
just sufficient to coagulate a lyophobic sol to an arbitrarily defined
extent in an arbitrarily chosen time) shows considerable dependence
upon the charge number of its counter-ions. In contrast, it is
practically independent of the specific character of the various ions,
the charge number of the co-ions and the concentration of the sol,
and only moderately dependent on the nature of the sol. These
generalisations are illustrated in Table 8.1, and are known as the
Schulze-Hardy rule.


The Deryagin-Landau and Verwey-Overbeek theory
(introduction)


Deryagin and Landau^194 and Verwey and Overbeek^97 independently
developed a quantitative theory in which the stability of lyophobic

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