Neutron Scattering by G. Kostorz (Eds.)

By G. Kostorz (Eds.)

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Maier-Leibnitz and Springer, 1966), reactor beam tubes cannot exceed a diameter of about 30 cm and have a minimum length of 3-4 m. At ILL they are typically 4-5 m long and have a maximum beam cross section of 15 x 15 cm2. The useful flux at the beam tube exit is thus about 4 x 10 ~5 times the isotropic flux at the beam tube entrance. 38 x 10 10 /cm 2 sec. Around the reactor, inside the experimental hall of 60 m diameter, 12 different neutron scattering instruments are currently placed on the various beam tubes, and the number of instruments is essentially limited by their floor space requirements.

C. +(a · P 0 ) + (a + · P0)ß + iP 0 (a + x a) (39) where P 0 is the polarization of the incident beam. B). As a general rule, the cross section is independent of P 0 , and there is no polarization created for systems in which there is no preferred direction. Thus, for example, for a simple two-sublattice antiferromagnet in which there is no net magnetization, the cross section is independent of P 0 , and P = 0 if P 0 = 0. However, if the antiferromagnet is subject to an external magnetic field, then the cross section depends on P 0 , and it is also possible to have P Φ 0 with P 0 = 0.

Following the standard convention, we define the polarization of a beam of neutrons as twice the average value of the spin of the neutrons. The polarization P must then have a magnitude between zero (unpolarized) and unity (completely polarized). An unpolarized beam can be regarded as the superposition of two completely polarized beams that possess opposite polarizations. The Fourier transform of the interaction potential is of the general form V(Q) = ß(Q) + 2a(Q) - s (38) where s is the spin of the neutron.

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