Hyperspherical harmonics for the representation of crystallographic texture

TitleHyperspherical harmonics for the representation of crystallographic texture
Publication TypeJournal Article
Year of Publication2008
AuthorsMason, JK, Schuh, CA
JournalActa Materialia
Volume56
Issue20
Pagination6141 - 6155
Date Published2008/12//
Abstract

The feasibility or representing crystallographic textures its quaternion distributions by it series expansion method is demonstrated using hyperpherical harmonics. This approach is refined by exploiting the sample and crystal symmetries to perforin the expansion more efficiently. The properties of the quaternion group space encourage a novel presentation of orientation statistics, simpler to interpret than the usual methods of texture representation. The result is it viable alternative to the Euler angle approach to texture standard in the literature today. (C) 2008 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.