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Neutron Scattering

Neutron Scattering - JuSER - Forschungszentrum Jülich

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For any practical application the imite lifetime of the neutron has no consequence . At neutron<br />

velocities in the order of 1000m/s and distances in experiments up te,<br />

are negligible .<br />

100m lifetime effects<br />

The neutron cames a spin of 1/2 which is accompanied by a magnetic dipole moment<br />

Ii" = -1 .913 p,, (2 .2)<br />

where uN is the nuclear magneton . The kinetic energy of the neutron E n = z ni, - un<br />

may be<br />

given in différent units as follows<br />

1 meV = 1 .602 - 10 -22 J =:> 8.066 cm- '<br />

since E = hv 1 meV=> 0.2418 . 10 12 Hz<br />

since E = kBT : 1 meV=> 11 .60 K<br />

The neutron wavelengths is obtained from the de Broglie relation<br />

_ h h<br />

m n Un =/( 21n E" )1i2<br />

(2 .3)<br />

According to the conditions for moderation, neutrons in different wavelength regimes are<br />

separated into different categories as displayed in Fig .2 .3 . They are produced by moderation<br />

in particular moderators which are kept at different temperatures .<br />

hot thermal cold very cold ultra cold<br />

AM<br />

102<br />

v v v<br />

10 -2 10-4 10 -6<br />

E [eV]<br />

Figure 2 .3 : Relation between neutron wavelength and their corresponding kinetic energies .<br />

2-4

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