The modified component method for calculation of orientation distribution function from pole figures

Abstract

The main problem of the quantitative texture analysis is discussed. The sharp texture of nanocrystalline magnesium is under investigation. The well-known harmonic (Roe–Bunge) method of texture determination does not give good results for the materials with low sample symmetry. The robust component fit method for the determination of the orientation distribution function from the set of incomplete X-ray pole figures is used in this work. A unique and reliable solution is achieved.

Keywords:

• quantitative texture analysis
• orientation distribution function determination
• pole figure
• ill-posed problem
• component fit method

AMS Subject Classifications::

• 65D15
• 65K10
• 93B40

Acknowledgements

This work is supported by the State contract ‘Investigation of textures and plastic anisotropy magnesium nanomaterials’ No. 02.513.11.3340. The authors thank research worker of IMET, V.I. Serebryany, for consultation about experimental part of the work and given PFs.