810
KOPEIKIN et al.
essed by the Zimm method, by double extrapolation
The experimentally determined intrinsic birefring-
ence [n] in a general case (dn/dc 0, where dn/dc is
the increment of the refractive index of the solution,
estimated for PAA Se H O and PMAA Se H O
systems at 0.245 and 0.165, respectively) has three
components: [n] = [n] + [n] + [n] , where [n] is
the intrinsic anisotropy; [n] , microform effect; and
2
(c
0,
0) of the plots of Kc/R vs. sin ( /2) +
kc (K is the calibration constant, and k, numerical
constant).
0
0
2
2
We determined the average hydrodynamic particle
e
fs
f
e
sizes R by quasielastic (dynamic) light scattering
H
fs
method [7]. Based on the experimental R -to-R ratio
g
H
[n] , macroform effect [5]. The full segment anisot-
f
for the nanostructures, we estimated the parameter *
characterizing the conformation of the nanostructure
[8 11].
ropy [n] + [n] is determined by the equilibrium
fs
e
rigidity A of the polymer chain and by the structure of
the polymer unit, and [n] is related to the shape
asymmetry parameter p of the macromolecule (par-
ticle) as
f
The optical component of the facility for measuring
the dynamic light scattering comprised an ALV-SP
(Germany) goniometer (a Spectra-Physics He Ne laser
with a wavelength = 632.8 nm, power ca. 20 mV, as
light source). The correlation function of the scattered
light intensity was obtained on a 288-channel Photo
Cor-FC correlator (Anteks Closed Joint-Stock Com-
pany, Russia). Data processing was carried out by
standard methods of cumulants and Tikhonov regulari-
zation, using appropriate software.
[n]f = [(n2s + 2)/3]2[Mw (dn/dc)2 f (p)]/(30 RTns )
= constMw (dn/dc)2f (p),
(1)
where M is the molecular weight of the adsorbate
macromolecule; n , refractive index of the solvent;
T, absolute temperature; R, universal gas constant; and
f(p), tabulated function of the ratio of the axes of a
rigid (impermeable by the solvent) ellipsoid approxi-
mating the particle [5].
w
s
According to the static light scattering data, the
7
parameter M remains unchanged (M = 27 10 ) in
w
w
0
going from the PAA H O to PAA Se H O system,
i.e., in the presence of PAA, no nanostructure is
formed. For the PMAA Se H O system, M was
estimated at 1.5 10 , i.e., it increased by a factor of
4300 relative to free PMAA macromolecules. This
unambiguously suggests the deciding importance of
hydrophobic interactions between macromolecules
2
2
Relationship (1) is valid both for isolated macro-
molecule and nanostructure; all what is needed of a
particle is to be impermeable by the solvent. Thus, for
high-molecular-weight flexible-chain and moderately
rigid-chain polymers (A < 5 nm), having minor optical
anisotropy and low-molecular-weight units, the intrin-
sic birefringence can be fitted by the approximation
[n] [n] , which allows the parameter p to be esti-
mated directly from the experimentally measured
birefringence [5].
0
2
w
8
0
and nano-Se in formation of nanostructures.
f
The second virial coefficient A for the PMAA
2
0
Se H O system is equal to zero, which suggests an
2
ideal thermodynamic quality of the solution. For the
PAA Se H O system, A is negative, namely, 0.8
Using the elastic (static) light scattering method
[6], we estimated M and the root-mean-square inertia
radii R of the polymers and nanostructures, as well as
their affinity for solvent, water (from the second virial
0
2
2
w
4
3
2
10
cm mol g , which suggests a bad thermo-
g
dynamic quality of the solution. Thus, adsorption of
0
macroions on nano-Se improves the thermodynamic
coefficient A ). Based on the ratio of the parameters
2
quality of the solution.
M
for poly acids and nanostructures they form, we
w
0
The parameter R for nano-Se particles obtained
determined the number of the macromolecules ad-
H
0
without polymeric stabilizer was estimated at 170 nm.
The particle size of the PMAA Se adsorbate, es-
sorbed on the nano-Se surface. The reduced intensity
of light scattering by solutions R was measured on
a Fica photogoniodiffusometer. The wavelength of the
incident, vertically polarized, light was 546.1 nm.
The measurements were carried out at light scattering
angles within 30 150 .The solutions and solvents
0
0
timated by dynamic and static light scattering meth-
ods, is much smaller (root-mean-square inertia radius
R = 90 nm and mean hydrodynamic radius R
=
g
H
90 nm). The parameter * = R /R is equal to unity,
g
H
3
were purified by centrifugation at 15 10 rpm for
which suggests virtually ideal spherical shape of the
particles of the adsorbate being formed [8 11].
1 1.5 h. The refractive index increment dn/dc was
determined from the refractive indices measured on an
IRF-23 instrument.
To determine the radius of the selenium particles
occurring in the core of the nanostructure, we lyo-
0
The experimental light scattering data were proc-
philically dried an aqueous solution of PMAA Se ,
RUSSIAN JOURNAL OF APPLIED CHEMISTRY Vol. 77 No. 5 2004