Open AccessWavefunctions for ground state 4f3 6s2 configuration of praseodymium to calculate energy of fine levels and other spectroscopic quantities
Author(s) -
Roohi Zafar,
Saba Javaid,
Zaheer Uddin
Publication year - 2020
Publication title -
journal of physics communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.407
H-Index - 17
ISSN - 2399-6528
DOI - 10.1088/2399-6528/ab7955
Subject(s) - wave function , angular momentum , physics , algorithm , atomic physics , mathematics , quantum mechanics
Wave functions for terms with the same orbital angular momentum L and spin angular momentum S, but different parents can be written as a linear combination of the pure parentage wave functions. These wavefunctions are important because various spectroscopic quantities e.g. energy and transition probability can be calculated with the help of these wavefunctions. In this study we present 46 wavefunctions of seventeen terms ( 2 P, 2 D, 2 F, 2 G, 2 H, 2 I, 2 K, 2 L, 4 S, 4 D, 4 F, 4 G, 4 I,( 2 D, 2 F, 2 G, 2 H) are repeated terms, all terms have seniorty number 3 except 2 F whose seniorty number is 1) of 4 f 3 6 s 2 configuration of Pr I, with seven parents ( 1 S, 1 D, 1 G, 1 I, 3 P, 3 F, 3 H) belonging to f 2 . Some of the wavefunctions are non-orthogonal as they belong to same term symbol, having different seniority number. Gram-Schmidt procedure was used to make them orthogonal.