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Small-Angle Neutron Scattering - Kfki

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Nuclear and magnetic particle form-factors<br />

Nuclear scattering<br />

Magnetic scattering<br />

F<br />

2<br />

( q)<br />

= [<br />

R<br />

max<br />

∫<br />

0<br />

sin( qr)<br />

( ρ(<br />

r)<br />

− ρs<br />

)<br />

qr<br />

4πr<br />

2<br />

dr]<br />

2<br />

F<br />

2<br />

N<br />

( q)<br />

= [( ρ0<br />

- ρ1)<br />

V0Φ(<br />

qR0<br />

) + ( ρ1<br />

- ρs<br />

) V1Φ(<br />

qR1<br />

)]<br />

2<br />

F<br />

2<br />

M<br />

( q)<br />

= [ ρmVmΦ(<br />

qRm<br />

)]<br />

2<br />

Mitglied in der Helmholtz-Gemeinschaft<br />

Model spherical “core-shell”<br />

Model “homogeneous sphere”<br />

Unmagnetized FF<br />

Φ( x)<br />

= 3(sin( x)<br />

− x cos( x)) / x<br />

I +<br />

2<br />

3<br />

2<br />

2<br />

( q)<br />

= nF N<br />

nFM<br />

3

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