Journal of Modern Physics
Volume 5, Issue 12 (July 2014)
ISSN Print: 2153-1196 ISSN Online: 2153-120X
Google-based Impact Factor: 0.86 Citations h5-index & Ranking
Analysis of the Metric in Quasicrystals—Linear Response in Logarithmically Periodic Solids ()
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ABSTRACT
The metric, that enables measurement of structural data from diffraction in quasicrystals, is analyzed. A modified compromise spacing effect is the consequence of scattering of periodic electromagnetic or electron waves by atoms arranged on a geometric grid in an ideal hierarchic structure. This structure is infinitely extensive, uniquely aligned and uniquely icosahedral. The approximate analytic factor that converts the geometric terms base τ, into periodic terms modulo 2π, is . It matches the simulated metric cs=0.947, consistently used in second (Bragg) order, over a wide scale from atomic dimensions to sixth order superclusters.
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