Small-Angle Neutron Scattering - Kfki
Small-Angle Neutron Scattering - Kfki
Small-Angle Neutron Scattering - Kfki
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Effect of magnetic scattering<br />
Polydisperse case<br />
Size-polydisperse non-homogeneous particles<br />
2 2<br />
2 2<br />
2<br />
I ( 0) = n∆ρ~<br />
< Vc<br />
> + n < ( ρ − ρe)<br />
Vc<br />
> + (2 / 3) nρm<br />
< Vm<br />
2<br />
><br />
~<br />
R<br />
2<br />
g<br />
=<br />
2 2<br />
< Vc<br />
Rc<br />
><br />
(<br />
2<br />
< V ><br />
c<br />
+<br />
A<br />
~ −<br />
∆ρ<br />
B<br />
( ∆<br />
~ ρ)<br />
2<br />
) /(1 +<br />
D<br />
( ∆<br />
~ ρ)<br />
2<br />
)<br />
Mitglied in der Helmholtz-Gemeinschaft<br />
B<br />
1 2<br />
2<br />
A = ( < αV<br />
> + 2 < ( − )<br />
2 > )<br />
2 c<br />
ρ ρ<br />
e<br />
Vc<br />
R<br />
< V ><br />
c<br />
c<br />
= 1 2<br />
2<br />
2 2 2<br />
2 2<br />
( < βV<br />
> − < ( − ) > − < ( − ) > −(2 / 3) <<br />
2 ><br />
2 c<br />
ρ ρe<br />
αVc<br />
ρ ρe<br />
Vc<br />
Rc<br />
ρm<br />
Vm<br />
R<br />
< V ><br />
m<br />
c<br />
2 2<br />
2 2<br />
< ( ρ − ρe)<br />
Vc<br />
> (2 / 3) ρm<br />
< Vm<br />
><br />
D = +<br />
2<br />
2<br />
< Vc<br />
> < Vc<br />
><br />
)
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