01939nam a22002657a 4500 20231116092532.0 231020b ||||| |||| 00| 0 eng d 0021-9584 RIEBPL Library 540.7 Huizhu Zhang and Zhenhua Chen String-Based Method for Deriving Russell–Saunders Terms (Journal Article) USA :American Chemical Society August 2023 2917-2925 p. American Chemical Society, Volume 100, Issue 8 ***______{For Hard Copy, Please visit Library.}________*** Abstract In this paper, we propose a novel method for deriving Russell–Saunders terms of complex atomic systems with an arbitrary number of equivalent electrons in orbitals with a higher azimuthal number. The method can be regarded as an extension of the classic works of Douglas, McDaniel, and Hyde but with several notable improvements, including the introduction of symmetry and spin string, that simplify the enumeration process. Moreover, the method is simple for undergraduate students’ apprehension, requiring only basic knowledge of combinatorial mathematics at the high-school level. Last but not least, it reduces the computational cost for complex systems, which is illustrated not only by the paradigmatic example of the nd4 configuration in the text but also by two other much more complicated examples of nfm and ngm. Considering both the simplicity and efficiency of the new method, we expect that it would be generally applicable to the teaching practice of the derivation of Russell–Saunders terms in advanced physical chemistry courses. Atomic Terms Microstate Symmetry Particle-Hole Symmetry Quantum Chemistry Upper-Division Undergraduate https://doi.org/10.1021/acs.jchemed.2c01109 PER 0 0 0 0 RIEBPL RIEBPL 2023-11-16 0 540.7 2023-11-16 00:00:00 2023-11-16 PER 44868 44867