Editing Euler angles (section)

===Crystallographic texture===
[[File:MAUD-MTEX-TiAl-hasylab-2003-Liss.png|thumb|Pole figures displaying crystallographic texture of gamma-TiAl in an alpha2-gamma alloy, as measured by high energy X-rays.<ref name=Liss>{{ cite journal |vauthors=Liss KD, Bartels A, Schreyer A, Clemens H |title=High energy X-rays: A tool for advanced bulk investigations in materials science and physics |journal=Textures Microstruct. |year=2003 |volume=35 |issue=3/4 |pages=219–52 |doi=10.1080/07303300310001634952 |doi-access=free }}</ref>]]
In materials science, crystallographic [[texture (crystalline)|texture]] (or preferred orientation) can be described using Euler angles. In texture analysis, the Euler angles provide a mathematical depiction of the orientation of individual crystallites within a polycrystalline material, allowing for the quantitative description of the macroscopic material.<ref>{{Citation
  |last1 = Kocks
  |first1 = U.F.
  |last2 = Tomé
  |first2 = C.N.
  |last3 = Wenk
  |first3 = H.-R.
  |title = Texture and Anisotropy: Preferred Orientations in Polycrystals and their effect on Materials Properties
  |publisher = [[Cambridge University Press|Cambridge]]
  |year = 2000
  |isbn = 978-0-521-79420-6}}</ref>  
The most common definition of the angles is due to Bunge and corresponds to the ''ZXZ'' convention.  It is important to note, however, that the application generally involves axis transformations of tensor quantities, i.e. passive rotations.  Thus the matrix that corresponds to the Bunge Euler angles is the transpose of that shown in the table above.<ref>{{Citation
  |last = Bunge
  |first = H.
  |title = Texture Analysis in Materials Science: Mathematical Methods
  |publisher = [[Cuvillier Verlag]]
  |year = 1993
  |asin = B0014XV9HU}}</ref>