EXTENDED ONE-DIMENSIONAL FIBONACCI STRUCTURES | Zendy

An Hu | Zendy; JIANG SHU-SHENG | Zendy; PENG RU-WEN | Zendy; ZHANG CHUN-SHENG | Zendy; Feng Duan | Zendy

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EXTENDED ONE-DIMENSIONAL FIBONACCI STRUCTURES

Author(s) -

An Hu,

JIANG SHU-SHENG,

PENG RU-WEN,

ZHANG CHUN-SHENG,

Feng Duan

Publication year - 1992

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.41.62

Subject(s) - fibonacci number , diffraction , projection (relational algebra) , extension (predicate logic) , mathematics , chain (unit) , combinatorics , computer science , algorithm , physics , optics , quantum mechanics , programming language

A one-dimensional k-component Fibonacci structure, which includes k incommensurate intervals, is the natural extension of the Fibonacci structure with two intervals. The projection method is applied to deal with the pattern and indexing problems of X-ray diffraction. The theoretical simulation is performed to prove the projection method for this extended Fibonacci structures. The diffraction spectrum will lead to chaos for a finite chain provided that k is sufficiently large.

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