Abstract
Unlike most of the periodic table, many rare-earth elements display considerable resonant scattering for thermal neutrons. Although this property is accompanied by strong neutron absorption, modern high-intensity neutron sources make diffraction experiments possible with these elements. Computation of scattering intensities is accomplished by fitting the variation in resonant scattering lengths (b
0, b′ and b′′) to a semi-empirical Breit–Wigner formalism, which can be evaluated over the range of neutron energies useful for diffraction, typically E = 10–600 meV; λ = 0.4–2.8 Å (with good extrapolation to longer wavelengths).
Funder
U.S. Department of Energy, Office of Science
Publisher
International Union of Crystallography (IUCr)
Reference17 articles.
1. Koester, L., Rauch, H., Herkens, M. & Schroder, K. (1981). KFA Report Jul-1755. KFA Jülich, Federal Republic of Germany.
2. Larson, A. C. & Von Dreele, R. B. (2004). Report LAUR 86-748, Los Alamos National Laboratory, New Mexico, USA. https://subversion.xray.aps.anl.gov/EXPGUI/gsas/all/GSAS%20Manual.pdf.
3. Resonance effects in neutron scattering lengths of rare-earth nuclides
4. The energy dependence of the neutron coherent scattering length of europium
5. Mughabghab, S. F. (1984). Neutron Cross Sections, Vol. 1, Part B. New York: Academic Press.