Interactive Resource icon  Euler Angles and Euler Space

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Description: Three Euler angles φ1, Φ and φ2 can be representated by a single point on a 3D graph called Euler Space. Since an orientation is determined by its rotation, a set of Euler angles uniquely defines an orientation. If we define a space in which the three coordinates correspond to the Euler angles, each point in this space represents an orientation. This interactive exercise defines Euler Space, by using the sliders the orientation can be changed and one can observe the point moving in Euler Space.
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).
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Date created: 15 January 2008
Date added: 21 December 2009
Resource ID: 2624