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a
b
p
R core
~
Φ ion
2/5
Φ ion
6
~
~
2
Φ ion
Φ ion
6/5
~ Φ ion
1/5
~
~
Φ ion
H corona
Φ ion
Φ ion
c
d
~ α b
2/11
p
R core
6
α b
~
α b
α b
2
~
unimers
−12/11
~
α b
~
H corona
α b
~ −4/11
unimers
α b
α b
Fig. 8 Dependency of ( a ) aggregation number p ;( b ) radius of the core R core and thickness of
the corona H corona in crew-cut spherical micelles with pH-sensitive coronal block as a function of
salt concentration. The pH is fixed according to the position of the vertical dotted arrow in Fig. 5 .
Dependency of ( c ) p ,and( d ) R core and H corona as a function of pH. Salt concentration is fixed
according to the position of horizontal dotted arrow in Fig. 7
deviates from CMC n ,cf.( 103 ) . In region CC qn , the coronal blocks are ionized,
α α b , but the electrostatic interactions are strongly screened due to high salt con-
centration, and structural parameters of the micelles are the same as in region CC qn .
Line
Φ ( 1 )
ion
separates regions CC qn and CC osm . The bold line indicates the transi-
Φ ion = Φ ion ( α b )
tion line
, where weakly ionized osmotic crew-cut micelles abruptly
transform into strongly charged starlike micelles (region S ch )
.InregionCC ch ,
the
Φ ( 2 )
charged micelles acquire crew-cut shape. Line
ion separates regions CC osm from
CC ch . Upon crossing this line, a continuous transformation of micelles occurs.
The evolution in aggregation number, core radius, degree of dissociation, and
extension of the coronal chains in a crew-cut micelle, as a function of salt concen-
tration and pH
are schematically presented in Fig. 8 .
In contrast to a nonmonotonous behavior of the equilibrium parameters of crew-
cut micelles, the CMC decreases monotonously as a function of the bulk salt
concentration,
,
Φ ion . Namely:
ln CMC CC = γ (
2
/
3
N B / ϕ )
, Φ ion Φ ( 2 )
N A [ α b Φ ion / γ (
2
N A ln
(
1
α b )
1
α b )]
ion ,
+
(123)
N 3 / 5
A
( 2 )
ion
2
/
5
2
b
2
/
5
(
v A + α
/
)
,
Φ
.
γ
2
Φ
Φ
ion
ion
 
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