Chemistry Reference
In-Depth Information
makes up 311-1510 nm, that corresponds well enough to the indicated
above self-similarity range.
S
−
, corresponding to the
relationship (26), for nanocomposites on the basis of BSR. The designations are the same,
that in Fig. 6.5.
D
/
2
FIGURE 6.7
The dependences of (N
i
-N
i+1
) on the value
n
In Refs. [38, 39] it has been shown, that measurement scales
S
i
mini-
mum range should contain at least one self-similarity iteration. In this case
the condition for ratio of maximum
S
max
and minimum
S
min
areas of cover-
ing quadrates should be fulfilled [39]:
S
S
max
2/
D
.
(27)
>
2
min
Hence, accounting for the defined above restriction let us obtain
S
max
/
S
min
=121/20.25=5. 975, that is larger than values
2
2
for the studied
nanocomposites, which are equal to 2.71-3.52. This means, that measure-
ment scales range is chosen correctly.
The self-similarity iterations number m can be estimated from the in-
equality [39]:
/
D
