Study of Sierpinski Triangle Fractals Effect on the Atomic Numbers and the Atomic Weights of Elements in the Periodic Table

Waclaw Sierpinski defined fractals such the Sierpinski triangle, Sierpinski gasket, and Sierpinski carpet in geometry. The Sierpinski triangle is utilised in this research to determine any equation between the atomic number and atomic weight of elements in the periodic table. An algorithm is first created in Matlab to build a right angle triangle and an equation between atomic numbers and atomic weights. In addition, the calculated atomic numbers and weights are compared to the genuine ones. The hypotenuse of the original triangle is then divided into eight smaller triangles to obtain more precise results and reduce mistakes in the atomic numbers and atomic weights reported in tables. Finally, the Sierpinski triangle-based equation of correlation between atomic numbers and atomic weights of elements is determinative for calculating the atomic weights of future found elements in the eighth period. This project combines chemical and geometry studies.

Author (S) Details

Leila Hojatkashani
Department of Chemistry, College of Basic Sciences, Yadegar-e-Imam Khomeini (RAH) Branch, Islamic Azad University, Tehran, Iran.

View Book :- https://stm.bookpi.org/CACS-V2/article/view/2658

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