Open AccessEXTENDED ONE-DIMENSIONAL FIBONACCI STRUCTURES
Author(s) -
An Hu,
JIANG SHU-SHENG,
PENG RU-WEN,
ZHANG CHUN-SHENG,
Feng Duan
Publication year - 1992
Publication title -
wuli xuebao
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.