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Small-Angle Neutron Scattering - Kfki

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<strong>Small</strong>-angle neutron scattering (SANS)<br />

Non-polarized neutrons<br />

= 0<br />

k<br />

qsinφ<br />

qcosφ<br />

k r k r<br />

0<br />

θ<br />

q r<br />

r<br />

q = k r<br />

−k r<br />

0<br />

4π<br />

θ<br />

q=<br />

sin<br />

λ 2<br />

θ <<br />

10<br />

o<br />

k 0<br />

For diluted samples (ϕ m < 3 vol. %)<br />

Mitglied in der Helmholtz-Gemeinschaft<br />

H r )<br />

Differential<br />

cross section<br />

dσ<br />

d<br />

Ω Ω<br />

=<br />

dσ<br />

(q<br />

dΩ<br />

dσ<br />

( q)<br />

dΩ<br />

2<br />

≈ FN ( q)<br />

+<br />

Nuclear formfactor<br />

2<br />

3<br />

F<br />

2<br />

M<br />

( q)<br />

Magnetic formfactor

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