The Fibonacci ruler
作者:
Matthew J. McIrvin,
期刊:
American Journal of Physics
(AIP Available online 1993)
卷期:
Volume 61,
issue 1
页码: 36-39
ISSN:0002-9505
年代: 1993
DOI:10.1119/1.17406
出版商: American Association of Physics Teachers
关键词: QUASICRYSTALS;DIFFRACTION GRATINGS;SOLID STRUCTURE;EDUCATIONAL TOOLS
数据来源: AIP
摘要:
The sharp peaks present in the diffraction pattern of a one‐dimensional Fibonacci quasicrystal are explained physically. The explanation rests upon the discovery of periodically positioned spatial regions, with mutually incommensurable spacings, which completely or partially exclude the atoms of the quasicrystal. These sets of periodic exclusion zones act individually as gratings. A ruler‐like optical analog of a 1‐D quasicrystal, in which grating lines replace the hypothetical atoms of the quasicrystal, provides an opportunity to observe quasicrystal diffraction directly. Such a grating can be produced by hand with simple equipment.
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