| 000 | 01939nam a22002657a 4500 | ||
|---|---|---|---|
| 005 | 20231116092532.0 | ||
| 008 | 231020b ||||| |||| 00| 0 eng d | ||
| 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) |
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| 260 |
_aUSA _b:American Chemical Society _cAugust 2023 |
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| 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 |
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