Scattering of thermal neutrons in beryllium

✍ Scribed by R.C. Bhandari

• Publisher: Elsevier Science
• Year: 1957
• Weight: 605 KB
• Volume: 6
• Category: Article
• ISSN: 0891-3919
• DOI: 10.1016/0891-3919(57)90185-7

✦ Synopsis

Assuming a Debye frequency spectrum for beryllium and without making use of the incoherent approximation, the elastic and the one-phonon inelastic scattering and transport crosssections have been calculated as functions of neutron energy. The total calculated scattering crosssection is in good agreement with the experimental values. The average logarithmic energy decrement 5, and the mean energy-loss per collision have also been calculated as functions of neutron energy and compared with the corresponding values obtained on the basis of the incoherent approximation by KOTHARI and SINGWI.

From the calculated values of the transport c&s-section as a function of neutron energy, the mean value of the diffusion coefficient D,,, corresponding to a Maxwell distribution for 300"K, is evaluated. For a beryllium density of 1.78 g/cm3 the value obtained is 1.26 x lo6 cm2/sec, which agrees to within 5 per cent with the experimental value of ANTONOV et al.