Least path criterion (LPC) for unique indexing in a two-dimensional decagonal quasilattice.
The least path criterion or least path length in the context of redundant basis vector systems is discussed and a mathematical proof is presented of the uniqueness of indices obtained by applying the least path criterion. Though the method has greater generality, this paper concentrates on the two-dimensional decagonal lattice. The order of redundancy is also discussed; this will help eventually to correlate with other redundant but desirable indexing sets.
Centre of Advanced Studies, Department of Metallurgical Engineering, Institute of Technology, Banaras Hindu University, Varanasi-221005, India. mukho@banaras.ernet.in
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Mukhopadhyay
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Lord