Issue
EPL
Volume 85, Number 1, January 2009
Article Number 16003
Number of page(s) 6
Section Condensed Matter: Structural, Mechanical and Thermal Properties
DOI http://dx.doi.org/10.1209/0295-5075/85/16003
Published online 19 January 2009
EPL, 85 (2009) 16003
DOI: 10.1209/0295-5075/85/16003

Nuclear inelastic scattering in powders of anisotropic materials

A. I. Rykov1, 2

1  Technology Crystals Laboratory - Institutskaya 4/1, 630090, Novosibirsk, Russia
2  School of Engineering, The University of Tokyo - Hongo 7-3-1, Bunkyo-ku, Tokyo 113-8656, Japan

rykov@woody.ocn.ne.jp

received 6 November 2008; accepted in final form 7 December 2008; published Janurary 2009
published online 19 January 2009

Abstract
The determination of the vibrational densities of states (DOS) in anisotropic materials from the spectra of inelastic nuclear absorption on a powder material is an inverse scattering problem, which can be solved with a certain degree of precision. To estimate this degree, we solve the direct problem, and find a difference between the powder-averaged DOS and the “apparent DOS" as is extracted from the spectra of a powder. These two quantities are fully equivalent only in single-site isotropic structures. We determine the temperature, energy and orientation dependencies of a difference between them in an anisotropic material, using the example of anisotropic DOS in iron borate. Deriving components of anisotropic DOS from multiple measurements on aligned powders is analysed vs. varying degree of alignment.

PACS
63.22.Np - Phonons or vibrational states in low-dimensional structures and nanoscale materials: Layered systems.
76.80.+y - Mössbauer effect; other $\gamma$-ray spectroscopy.

© EPLA 2009