The Influence of Errors of X-Ray Texture Measurements on ODF Calculation with Central Normal Distribution Approximation

Author:

Ivanova T.M.1,Lubman H.U.,Savyolova T.I.2,Serebryany Vladimir3

Affiliation:

1. National Research Nuclear University

2. Moscow Engineering Physical Institute

3. Russian Academy of Science

Abstract

Experimental pole figures are measured by x-ray method for materials with hexagonal symmetry (Ti and Mg alloys). The Orientation Distribution Function is calculated by approximation method with central normal distribution. Texture inhomogeneities and effects of defocusing are the main sources of pole density errors. The measurement errors depend on crystal direction {hkl} and are different for maximum and minimum regions on pole figure. The influence of texture measurement errors on accuracy of the ODF calculation is investigated.

Publisher

Trans Tech Publications, Ltd.

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Reference6 articles.

1. T.I. Bucharova, T.I. Savyolova: Textures and Microstructures Vol. 23 (1993), p.161.

2. K. Helming, D. Schmidt, K. Ullemeyer: Textures and Microstructures Vol. 25 (1996), p.211.

3. D.J. Hudson: Statistics (Geneva 1964).

4. D. Kahaner, C. Moler, S. Nash: Numerical Methods and Softwear (NJ: Prentice-Hall Englewood Cliffs 1989).

5. G.H. Golub, C.F. Van Loan: Matrix Computations (Johns Hopkins University Press, Baltimore 1989).

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