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De Bruijn, N,G, (1981), Ned. Acad. Weten. Proc. Ser. A 43, 39-53.

has been cited by the following article:

Article

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

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


Applied Mathematics and Physics. 2014, Vol. 2 No. 2, 53-58
DOI: 10.12691/amp-2-2-5
Copyright © 2014 Science and Education Publishing

Cite this paper:
M. Sa’Id, G. Babaji, 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.

Correspondence to: S.G.  Abdu, Department of Physics, Kaduna State University, Kaduna-Nigeria. Email: sgabdul@yahoo.com

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.

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