Chemistry Reference
In-Depth Information
FIGURE 15.2
The dependence of critical temperatures
T
cr
on reciprocal value of nanocluster
structure stability measure ∆
i
for PC (1) and PAr(2), 3 -
T
ll
value for PC [19].
The authors of Ref. [14, 15] considered synergetics principles applica-
tion for the description of behavior of separate nanocluster structure, charac-
terized by the integral parameter φ
cl
nanoclusters in the system for the same
amorphous glassy polymers. This aspect is very important, since, as it will
be shown is subsequent sections, just separate nanoclusters characteristics
define natural nanocomposites properties by critical mode. One from the
criterions of nanoparticle definition has been obtained in Ref. [16]: atoms
number
N
at
in it should not exceed 10
3
÷ 10
4
. In Ref. [15] this criterion was
applied to PC local order regions, having the greatest number of statistical
segments
n
cl
= 20. Since nanocluster is amorphous analog of crystallite with
the stretched chains and at its functionality
F
a number of chains emerging
from it is accepted, then the value
n
cl
is determined as follows [4]:
F
n
=
,
(15.1)
cl
2
where the value
F
was calculated according to the Eq. (1.7).
The statistical segment volume simulated as a cylinder, is equal to
l
st
S
and further the volume per one atom of substance (PC)
a
3
can be calculated
according to the equation [17]:
