๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The generalized Mackenzie distribution: Disorientation angle distributions for arbitrary textures

โœ Scribed by J.K. Mason; C.A. Schuh

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
705 KB
Volume
57
Category
Article
ISSN
1359-6454

No coin nor oath required. For personal study only.

โœฆ Synopsis

A general formulation for the disorientation angle distribution function is derived. The derivation employs the hyperspherical harmonic expansion for orientation distributions, and an explicit solution is presented for materials with cubic crystal symmetry and arbitrary textures. The result provides a significant generalization to the well-known Mackenzie distribution function [Mackenzie JK. Biometrika 1958;45:229] for materials with random crystal orientations. This derivation also demonstrates that the relatively new hyperspherical harmonic expansion provides access to results that have been inaccessible with the more traditional ''generalized spherical harmonic" expansion that is in current use throughout the field.

๐Ÿ“œ SIMILAR VOLUMES

A method for the high-speed generation o
A method for the high-speed generation of random numbers with arbitrary distributions
โœ T. Ishikawa; P.Y. Wang; K. Wakui; T. Yabe ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 666 KB

A new method for the high-speed generation of random numbers with arbitrary distributions is proposed. The method stores random numbers in two memories, and then picks out two random numbers and assembles them, resulting in a new random number. When the method is. realized with Fortran, the method c