Abstract
A methodology is described that enables the determination of symmetry groups of bicrystals manufactured from a given dichromatic complex. The dichromatic symmetry group is sectioned by a unique two-sided plane corresponding to the planar grain boundary and the symmetry elements of the bicrystal are established as those symmetry elements of the dichromatic group that leave the sectional plane invariant. The procedure is employed for investigating generic relations for bicrystals whose components have a given misorientation relationship. It is demonstrated that, for a dichromatic complex with point symmetry higher than 1, bicrystals of identical symmetry can be created by more than one crystallographically equivalent interfacial plane. Finally, a new scheme is proposed for the classification of grain boundaries. This scheme provides a comprehensive framework for describing the variation of bicrystal symmetry due to changes in the orientation and/or position of the associated interfacial plane.
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More From: Acta Crystallographica Section A Foundations of Crystallography
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