Reproducible Textures

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Abstract
The orientation distribution function of a textured polycrystalline material may be split into an even and odd part; the latter is not reproducible from pole figure measurements as has been recently shown. The class of textures containing only a reproducible part is considered. In the case of axially symmetric textures (fibre textures), these take on a very simple form. They are, however, not the only type of reproducible textures as has been assumed. A sample having a reproducible texture is centrosymmetric, even in the most general case of non‐centrosymmetric, enantiomorphic crystals of one crystal form only. Symmetry elements of this kind have been called non‐conventional ones. They may be described by black‐and‐white or Shubnikov groups. Reproducible textures correspond to a non‐conventional centre of inversion as an element of sample symmetry and vice versa.

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