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022 _a0021-9584
037 _bRIEBPL Library
082 _a540.7
100 _aHuizhu Zhang and Zhenhua Chen
245 _a String-Based Method for Deriving Russell–Saunders Terms
_b (Journal Article)
260 _aUSA
_b:American Chemical Society
_cAugust 2023
300 _a2917-2925 p.
490 _aAmerican Chemical Society, Volume 100, Issue 8
505 _a***______{For Hard Copy, Please visit Library.}________***
520 _aAbstract 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.
650 _aAtomic Terms
650 _aMicrostate Symmetry
650 _a Particle-Hole Symmetry
650 _a Quantum Chemistry
650 _aUpper-Division Undergraduate
856 _u https://doi.org/10.1021/acs.jchemed.2c01109
942 _cPER
999 _c44868
_d44867