Applied Mathematics and Physics
ISSN (Print): 2333-4878 ISSN (Online): 2333-4886 Website: http://www.sciepub.com/journal/amp Editor-in-chief: Vishwa Nath Maurya
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Applied Mathematics and Physics. 2014, 2(2), 53-58
DOI: 10.12691/amp-2-2-5
Open AccessArticle

The Effects of Golden Mean on the Diffraction by Monatomic One-Dimensional Quasicrystal

M. Sa’Id1, G. Babaji2 and S.G. Abdu3,

1Department of Physics, Sa’adatu Rimi College of Education, Kano-Nigeria

2Department of Physics, Bayero University, Kano-Nigeria

3Department of Physics, Kaduna State University, Kaduna-Nigeria

Pub. Date: March 27, 2014

Cite this paper:
M. Sa’Id, G. Babaji and S.G. Abdu. The Effects of Golden Mean on the Diffraction by Monatomic One-Dimensional Quasicrystal. Applied Mathematics and Physics. 2014; 2(2):53-58. doi: 10.12691/amp-2-2-5

Abstract

In this work, the code ‘Laue’ was used to simulate the diffraction pattern and to investigate the effects of varying the golden mean in a monatomic linear quasicrystal having a pseudo atomic potential. The work involved setting the parameters of the code required to simulate the diffraction, running the code and exporting the data generated to excel for analysis. It was found that the shape of the diffraction pattern and the background intensity for a given value of the golden mean is unique. Both the width of the diffraction pattern and the intensity of the central peak decrease with increasing golden mean. Results obtained illustrated the features of the diffraction by quasicrystal and proved the suitability and accuracy of the code in simulating the dynamics of quasicrystals.

Keywords:
quasicrystal diffraction pattern golden mean central peak

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