Open AccessA Study on Radial Properties of Hydrogenic Ions using Laguerre Polynomials
Author(s) -
Gerda Pandu,
Redi Kristian Pingak,
Albert Zicko Johannes,
Zakarias Seba Ngara
Publication year - 2021
Publication title -
buletin fisika
Language(s) - English
Resource type - Journals
eISSN - 2580-9733
pISSN - 1411-4690
DOI - 10.24843/bf.2022.v23.i02.p01
Subject(s) - laguerre polynomials , bohr model , ion , atomic physics , radial function , radial basis function , principal quantum number , physics , radial distribution function , polynomial , electron density , electron , quantum , quantum mechanics , mathematics , mathematical analysis , machine learning , artificial neural network , computer science , quantum dissipation , molecular dynamics
A preliminary study has been carried out on the radial properties of the hydrogenic systems using the Laguerre polynomial. The aims of this study were to investigate radial properties of hydrogenic ions by evaluating the radial probability density, the most probable radial distance and the average distance of electron from the nuclei of hydrogenic ions. Based on the research results for Z=1 to Z=10 with the principal quantum number (n)=1 to 5, 150 radial function forms, 150 radial probability density, 150 most probable radial distance values and 150 electron average distance values were obtained. The most probable radial distance from the nucleus was compared with the Bohr model and showed the same results as the Bohr model.