Small-Angle Neutron Scattering - Kfki
Small-Angle Neutron Scattering - Kfki
Small-Angle Neutron Scattering - Kfki
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SANS on non-magnetized MFs:<br />
direct modeling<br />
D-solvents<br />
H-solvents<br />
I ( q)<br />
≈ (4 / 3)<br />
D n<br />
( R)<br />
2<br />
2 2<br />
3<br />
3<br />
2<br />
I(<br />
q)<br />
= (4 / 3) π n∫[(<br />
ρ − ρ ) R Φ(<br />
qR)<br />
+ ( ρ − ρ )( R + h)<br />
Φ(<br />
q(<br />
R + h))]<br />
D ( R dR +<br />
0<br />
∫<br />
1<br />
2 2 2<br />
6 2<br />
+ (4 / 3) π nρ<br />
( R −δ<br />
) Φ ( q(<br />
R −δ<br />
)) D ( R dR<br />
∫<br />
2<br />
2 6 2<br />
π n(<br />
ρ0<br />
− ρs ) R Φ ( qR)<br />
Dn<br />
( R)<br />
dR<br />
1 ⎛ ln<br />
exp<br />
⎜ −<br />
RS 2π<br />
⎝<br />
=<br />
2<br />
2<br />
( R<br />
2S<br />
R ⎞<br />
0)<br />
⎟<br />
⎠<br />
m n<br />
)<br />
100<br />
10<br />
1<br />
s n<br />
)<br />
Magnetite (ϕ m ~ 2 %) / OA / benzene<br />
H-benzene H-бензол<br />
D-benzene D-бензол<br />
Mitglied in der Helmholtz-Gemeinschaft<br />
Fitting parameters:<br />
• SLDs of the components (up to 4),<br />
• parameters of size distribution function (up to 4)<br />
• thicknesses of surfactant and non-magnetic<br />
layers (2)<br />
• concentration, background (2)<br />
Contrast variation is independent method<br />
for check-up multiparameter fits, especially<br />
for aggregated systems!<br />
I(q), см -1<br />
1<br />
0.1<br />
0.01<br />
1E-3<br />
D N<br />
(R)<br />
0.04<br />
0.02<br />
SANS МУРН<br />
0.00<br />
0 2 4 6 8 10<br />
• Avdeev, M.V., Balasoiu, M., Torok, Gy., et al., J. Magn. Magn. Mater. 252 (2002) 86-88<br />
• Aksenov, V.L., Avdeev, M.V., Balasoiu, M., et al., Appl. Phys. A 74 (2002) S943-S944<br />
R, нм<br />
TEM ПЭМ<br />
0.1 1<br />
q, нм -1
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