Analysis of the Metric in Quasicrystals—Linear Response in Logarithmically Periodic Solids

• 作者: Antony J. Bourdillon
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: QUASICRYSTALS METRIC lin-log RESPONSE Measurement Logarithmic PERIODIC Hierarchic Structure
• 年，卷（期）: 2014,（12）
• 页码范围: 1079-1084
• 页数: 6页
• 分类号: O1

摘要

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.