Small-Angle Neutron Scattering - Kfki
Small-Angle Neutron Scattering - Kfki
Small-Angle Neutron Scattering - Kfki
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Example: core-shell particles<br />
ρ 1<br />
, R 1<br />
ρ<br />
I ( q)<br />
= n[(<br />
ρ ρs ρ ρ Φ qR<br />
2<br />
1<br />
− ) V1Φ(<br />
qR1<br />
) − (<br />
1<br />
−<br />
0)<br />
V0<br />
(<br />
0)]<br />
Φ( x)<br />
= 3(sin x − x cos x) / x<br />
n is the particle number density<br />
3<br />
V<br />
i<br />
=<br />
3<br />
( 4 / 3) πRi<br />
ρ 0<br />
, R 0<br />
ρ s<br />
ρ =<br />
V<br />
V<br />
V<br />
( ρ<br />
0 0<br />
ρ0<br />
+ 1−<br />
)<br />
1<br />
V1<br />
1<br />
∆ρ<br />
=<br />
ρ −<br />
ρ s<br />
Mitglied in der Helmholtz-Gemeinschaft<br />
I( q) = nV ( ρ − ρ ) [ Φ( qR ) − Φ ( qR )] +<br />
2 2 2<br />
0 1 0 1 0<br />
+ 2 nVV ( ρ − ρ ) Φ( qR )[ Φ( qR ) − Φ( qR )]( ∆ ρ)<br />
+<br />
1 0 1 0 1 1 0<br />
+ nV Φ ( qR )( ∆ρ)<br />
2 2 2<br />
1 1<br />
Is<br />
Ics<br />
( q)<br />
( q)<br />
I ( ) c<br />
q