Abstract

ROMEU, David. UNDERSTANDING THE STRUCTURE OF GRAIN BOUNDARIES. A HIGHER DIMENSIONAL APPROACH. . Rev. LatinAm. Met. Mat. [online]. 2001, vol.21, n.2, pp.13-20. ISSN 0255-6952.

A formalism to describe the crystallography of interfaces based on the representation of the dichromatic pattern in a higher dimensional space is presented. The interfacial structure is obtained when the resulting single crystal hyper-lattice is projected into physical space. It is shown that a new lattice called P-lattice associated with displacements in perpendicular space is required for the proper understanding of interfaces. The formalism allows the characterization of interfaces from the symmetry of the hyper lattice. It is also shown that interfaces and quasicrystals are equivalent systems and can both be regarded as a region in space where two (or more) lattices compete to contribute their points to the system, the strip-projection method solves the conflict and determines the final structure.

Keywords : Grain Boundaries; quasicrystals; crystallography; dislocations.