Chemistry Reference
In-Depth Information
The first from the indicated points was considered in detail above. The
authors of Refs. [20, 21] showed that nanoclusters surface fractal dimension
changes within the range of 2.15 ÷ 2.85 that is their well developed surface
sign. And at last, let us consider quantum (wave) aspect of nanoclusters na-
ture on the example of PC [22]. Structural levels hierarchy formation and
development “scenario” in this case can be presented with the aid of iterated
process [23]:
k
k
+
1
,
(15.4)
l
=
a
B
;
l
=
a
B
;
k
=
0
1
2
,...
k
l
k
l
where
l
k
is specific spatial scale of structural changes,
k
is length of irradia-
tion sequence, which is due to structure reformation,
k
is structural hierarchy
sublevel number,
B
λ
= l
b
/〈
a
〉 = 2.61 is discretely wave criterion of microfrac-
ture, l
b
is the smallest length of acoustic irradiation sequence.
FIGURE 15.8
The dependences of structural changes specific spatial scale
l
k
at
B
λ
= 1.06
(1) and 1.19 (2) and nanoclusters radius
r
cl
(3) on testing temperature
T
for PC [22].
In Fig. 15.8, the dependences of
l
k
and nanoclusters radius
r
cl
on
T
are
adduced, where
l
k
was determined according to the Eq. (15.4) and the value
r
cl
was calculated according to the Eq. (4.64). As it follows from the data of
Fig. 15.8, the values
l
k
and
r
cl
agree within the whole studied temperatures
range. Let us note, that if in Ref. [23] the value
B
λ
= 2.61, then for PC the
indicated above agreement was obtained at
B
λ
= 1.19 and 1.06. This distinc-
tion confirms the thesis about distinction of synergetics laws in reference to
