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

Abstract

In geometry, Waclaw Sierpinski described fractals such as Sierpinski triangle, Sierpinski gasket and Sierpinski carpet. In this work, 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 and an equation between the atomic numbers and atomic weights. Also, the resulted the atomic numbers and atomic weights are compared with the real ones. 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 of the atomic numbers and atomic weights which are shown in tables. Finally, the resulted equation of correlation between the atomic numbers and the atomic weights of elements based on Sierpinski triangle is determinate to calculate the atomic weights of the future discovered elements in eighth period. This work is a combination research in chemistry and geometry.