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An Introduction to Neutron Scattering - Spallation Neutron Source

An Introduction to Neutron Scattering - Spallation Neutron Source

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Measuring Line Shapes for Inelastic <strong>Scattering</strong><br />

• Spin echo polarization is the FT of<br />

scattering within the spectrometer<br />

transmission function<br />

• <strong>An</strong> echo is obtained when<br />

d<br />

dk<br />

1<br />

⎡(<br />

Bd)<br />

⎢<br />

⎣ k1<br />

1<br />

2<br />

• Normally the lines of constant spinecho<br />

phase have no gradient in Q,ω<br />

space because the phase depends<br />

only on<br />

k<br />

( Bd)<br />

−<br />

k<br />

• The phase lines can be tilted by using<br />

“tilted” precession magnets<br />

2<br />

⎤<br />

⎥<br />

⎦<br />

=<br />

0<br />

⇒<br />

N<br />

k<br />

1<br />

2<br />

1<br />

=<br />

N<br />

k<br />

2<br />

2<br />

2<br />

ω<br />

ω<br />

Q<br />

Q

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