Journal of Materials Science

, Volume 40, Issue 12, pp 3121–3127 | Cite as

A stereoscopic method for dihedral angle measurement

  • L. Felberbaum
  • A. Rossoll
  • A. Mortensen


A new method is presented for the measurement of equilibrium dihedral angles in intergranular inclusions, and illustrated with pure copper containing 1 wt% lead. The method is based on the selective dissolution of inclusions visible along a polished metallographic section. Scanning electron microscopy stereo image pairs are then taken and processed so as to enable a three-dimensional digital reconstruction of the inclusion/matrix interface along each inclusion. Spherical caps describing the Cu/Pb interface over non-facetted orientations are then fitted to the measured digital inclusion envelope reconstructions. Knowing the center and radius of these spheres, the true dihedral angle of each specific inclusion can then be deduced with good precision.

It is found that the true dihedral angle in the Cu/Pb alloy is not a unique function of temperature, reflecting the (known) anisotropy of high-angle grain boundary energy in copper.


Dihedral Angle Stereo Image Microscopy Stereo Selective Dissolution Metallographic Section 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science + Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Laboratory for Mechanical Metallurgy, Institute of MaterialsSwiss Federal Institute of Technology in Lausanne (EPFL)LausanneSwitzerland

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