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An Introduction to Neutron Scattering - Spallation Neutron Source

An Introduction to Neutron Scattering - Spallation Neutron Source

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The Underlying Physics of <strong>Neutron</strong> Spin Echo (NSE)<br />

Technology is Larmor Precession of the <strong>Neutron</strong>’s Spin<br />

• The time evolution of the expectation value of the spin of a<br />

spin-1/2 particle in a magnetic field can be B<br />

determined classically as:<br />

r<br />

ds<br />

r r<br />

= γs<br />

∧ B ⇒ ω L<br />

dt<br />

= γ B<br />

s<br />

−1<br />

−1<br />

γ = −2913<br />

* 2π<br />

Gauss . s<br />

• The <strong>to</strong>tal precession angle of the spin, φ, depends on the time<br />

the neutron spends in the field: φ = ω t<br />

B(Gauss)<br />

10<br />

ω L (10 3 rad.s -1 )<br />

183<br />

L<br />

N (msec -1 )<br />

29<br />

Turns/m for<br />

4 Å neutrons<br />

~29

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