Neutron scattering length determination by means of total scattering

Abstract

A new method for the measurement of bound coherent neutron scattering lengths is reported. It is shown that a relative measurement of the neutron scattering length, , of an element can be made by analysis of the neutron correlation function of a suitable oxide crystal powder. For this analysis, it is essential to take into account the average density contribution to the correlation function, as well as the contributions arising from distances between atoms in the crystal. The method is demonstrated and verified by analysis of the neutron correlation function for the corundum form of Al2O3, yielding a value = 3.44 (1) fm for Al, in good agreement with the literature. The method is then applied to the isotopes of iridium, for which the values of the scattering lengths were unknown, and which are difficult to investigate by other methods owing to the large cross sections for the absorption of neutrons. The neutron correlation function of a sample of Sr2IrO4 enriched in 193Ir is used to determine values = 9.71 (18) fm and = 12.1 (9) fm for 193Ir and 191Ir, respectively, and these are consistent with the tabulated scattering length and cross sections of natural Ir. These values are of potential application for obtaining improved neutron diffraction results on iridates by the use of samples enriched in 193Ir, so that the severe absorption problems associated with 191Ir are avoided. Rietveld refinement of the neutron diffraction pattern of isotopically enriched Sr2IrO4 is used to yield a similar result for Ir. However, in practice the Rietveld result is shown to be less reliable because of correlation between the parameters of the fit.

Pressure-induced collapse of the spin-orbital Mott state in the hyperhoneycomb iridate β−Li2IrO3

“…The anvils were single-toroidal zirconia-toughened alumina (ZTA), and an encapsulated TiZr gasket was used [39]. In order to minimize the neutron absorption by 191 Ir, we prepared an isotope-enriched powder sample of β-7 Li 2 193 IrO 3 [40]. Deuterium substituted methanolethanol mixture (4:1 by volume) was used as a hydrostatic pressure medium.…”

Quantum materials with strong spin–orbit coupling: challenges and opportunities for materials chemists

“…Using a novel total scattering -based technique we determined the scattering length of 193 Ir, allowing samples enriched in this isotope it to be used in neutron scattering studies effectively. 107 As such, high-resolution structural data (including detailed studies at high pressures that were effectively impossible previously 57 ) can now be obtained for iridates as a matter of course, allowing unprecedented access to the structural information that is crucial for unravelling the origin of the exotic ground states and properties of these materials.…”

Deciphering the structure and potassium-ion transport mechanism of potassium borate glass

“…The i ( Q ) data were subjected to Fourier transformation and Lorch correction 37 to obtain the total correlation function T ( r ). The relevant calculation equations follow, 38,39 where the distinct scattering i ( Q ) is given by the following equation:…”