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Small-Angle Neutron Scattering - Kfki

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Magnetic neutron scattering<br />

Cross-section of the magnetic moment<br />

of one atom in domain:<br />

dσ<br />

dΩ<br />

2 2<br />

( ) = m<br />

vm<br />

p<br />

p - magnetic scattering length<br />

vm<br />

= γ −η ( ηγ )<br />

- magnetic interaction vector<br />

Nuclear + magnetic scattering:<br />

dσ<br />

=<br />

dΩ<br />

b<br />

2<br />

+<br />

2 2<br />

2bp(<br />

vm t ) + vm<br />

p<br />

Mitglied in der Helmholtz-Gemeinschaft<br />

unit vector along the<br />

magnetic moment<br />

direction<br />

ν m<br />

=sinα, α - angle between<br />

unit vector along<br />

the scattering vector<br />

γ<br />

and<br />

q<br />

neutron spin<br />

non-polarized beam:<br />

dσ<br />

=<br />

dΩ<br />

b<br />

disoriented domains:<br />

dσ<br />

dΩ<br />

2<br />

+ v<br />

2<br />

m<br />

p<br />

b<br />

2 v<br />

2 p<br />

2 b<br />

2<br />

= + <<br />

m<br />

><br />

Ω<br />

= +<br />

2<br />

2 p<br />

3<br />

2

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