Chemistry Reference
In-Depth Information
D
/2
S
S
max
m
.
(28)
>
2
min
Using the indicated above values of the included in the inequality Eq. (28)
parameters, m=1.42-1.75 is obtained for the studied nanocomposites, that
is, in our experiment conditions self-similarity iterations number is larger
than unity, that again confirms correctness of the value
D
n
estimation [35].
And let us consider in conclusion the physical grounds of smaller val-
ues
D
n
for elastomeric nanocomposites in comparison with polymer mi-
crocomposites, that is, the causes of nanofiller particles (aggregates of par-
ticles) “chains” formation in the first ones. The value
D
n
can be determined
theoretically according to the equation [4]:
D
+
2.55
d
−
7.10
,
(29)
n
0
φ
=
if
4.18
where ϕ
if
is interfacial regions relative fraction,
d
0
is nanofiller initial par-
ticles surface dimension.
The dimension
d
0
estimation can be carried out with the help of the Eq.
(4) and the value ϕ
if
can be calculated according to the Eq. (7). The results
of dimension
D
n
theoretical calculation according to the Eq. (29) are ad-
duced in (Table 6.2), from which a theory and experiment good correspon-
dence follows. The Eq. (29) indicates unequivocally to the cause of a filler
in nano- and microcomposites different behavior. The high (close to 3,
see Table 6.2) values
d
0
for nanoparticles and relatively small (
d
0
=2.17 for
graphite [4]) values
d
0
for microparticles at comparable values ϕ
if
is such
cause for composites of the indicated classes [3, 4].
TABLE 6.2
The Dimensions of Nanofiller Particles (Aggregates of Particles) Structure
in Elastomeric Nanocomposites
Nanocomposite
D
n
, the
Eq. (23)
D
n
, the Eq.
(25)
d
0
d
surf
D
n
, the
Eq. (29)
ϕ
n
BSR/TC
1.19
1.17
2.86
2.64
0.48
1.11
BSR/nanoshungite
1.10
1.10
2.81
2.56
0.36
0.78
BSR/microshungite
1.36
1.39
2.41
2.39
0.32
1.47
