Chemistry Reference
In-Depth Information
d
−
d
,
(4)
S
=
410
R
surfl
u
p
where
S
u
is nanoshungite particles specific surface, calculated as follows
[28]:
3
,
(5)
S
=
u
ρ
np
where ρ
n
is the nanofiller particles aggregate density, determined accord-
ing to the formula [3]:
(
)
1/ 3
ρ =
0.188
R
.
(6)
n
p
The calculation according to the Eqs. (4)-(6) gives
d
surfl
=2.44. Further,
using the calculated by the indicated mode parameters, let us obtain from
the equation (1) the theoretical value of interfacial layer thickness
ifl
ifl
=7.8
nm. This value is close enough to the obtained one experimentally (their
discrepancy makes up ~ 10%).
The second method of value
T
ifl
ifl
estimation consists in using of the two
T
following equations [3, 29]:
(
)
ϕϕ
=
d
−
2
(7)
if
n
surfl
and
3
T
Rl
R
+
p
if
ϕϕ
=
−
1
,
(8)
if
n
p
�
�
where ϕ
if
and ϕ
n
are relative volume fractions of interfacial regions and
nanofiller, accordingly.
The combination of the indicated equations allows to receive the fol-
lowing formula for
ifl
ifl
calculation:
T
(
)
1/ 3
�
.
(9)
T
if
ifl
= −−
Rd
1
1
p
�
surfl
The calculation according to the Eq. (9) gives for the considered nanocom-
posite
ifl
ifl
=10.8 nm, that also corresponds well enough to the experiment (in
this case discrepancy between
ifl
if
and
T
ifl
ifl
makes up ~ 19%).
T
