Interactive Resource icon  Definition of Euler Angles

Use this resource: Use this resource icon
Link to this page:
View at:        
Resource type: Interactive Resource
Description: It is common to describe a rotation in terms of Euler angles. This interactive exercise defines the orientation of the grain with respect to the specimen geometry. By using sliders the system x, y, z can be rotated around axes by angles (Euler angles) until each of the axes becomes parallel to a corresponding pllane AB, BC and CA. Three Euler angles φ1, Φ and φ2 uniquely define the rotation of x, y, z into A, B, C and hence uniquely define the orientation of the cell/grain.
Keywords: Euler angles • rotation
Categories: Science approaches > Structure, bonding & defects > Crystal structure
Science approaches > Structure, bonding & defects > Crystallography
Materials > Metals & alloys > Aluminium & alloys
Created by: Gunter Gottstein, IMM-RWTH
Markus Buescher, IMM-RWTH
MATTER, The University of Liverpool
Contributions: Jürgen Hirsch, Hydro Aluminium Deutschland GmbH
Published by: European Aluminium Association, Brussels
License: This resource is released under the Creative Commons Attribution Non-Commercial No Derivatives license (2.0 UK: England & Wales).
Creative Commons Attribution Non-Commercial No Derivatives logo
You are free:
  • to share – to copy, distribute and transmit the work
Under the following conditions:
  • attribution – You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
  • noncommercial – You may not use this work for commercial purposes.
  • No Derivative Works – You may not alter, transform, or build upon this work.
View the full legal code here.
Date created: 24 April 2003
Date added: 21 December 2009
Resource ID: 2623