Abstract

Leila Hojatkashani

DOI : http://dx.doi.org/10.13005/ojc/330247

Waclaw Sierpinski described fractal geometries such as Sierpinski triangle, gasket and carpet. In this paper, Sierpinski triangle is used to find any equation between the atomic number and the atomic weight of elements in the periodic table. First by using Matlab program, an algorithm is written to create a right angle triangle between the atomic numbers and atomic weights. Then this original triangle is divide to 8 smaller triangles on the hypotenuse of the original triangle to get more accurate results and reduce errors. Finally, equations of correlation between the atomic numbers and the atomic weights of elements are obtained to calculate the atomic weights of the elements in eighth period.

Sierpinski’s fractals; self-similarity; the periodic table of the elements; atomic number; atomic weight; right angled triangle; Matlab program

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