Abstract
Long range order in materials can be aperiodic. Quasiperiodic lattices are mathematically derived from cross-section of objects which are periodically arranged in a higher dimensional space. Experimental investigations of these structures require the specification of more parameters than for classical crystallography. Neutron diffraction, with the special technique of contrast variation, allows a reasonable approach to this problem. Average structures may be described in terms of atomic decorations of 3-dimensional Penrose lattice, with superimposed chemical and/or topological modulation. But descriptions in terms of statistical cluster arrangements or families of atomic plans might be better alternatives.
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