以多电子精细结构哈密顿的球张量形式为基础,借助不可约张量理论,建立了类氟离子基态精细结构能量的解析表达式.完成了所有角向积分和自旋求和计算,使精细结构能量表示为若干个径向积分之和.在此基础上对类氟体系(Z=9~13)基态的精细结构能量进行了具体计算,计算结果与实验数据符合得较好.%Based on the tensor expressin of the fine-structure Hamiltonian for many-electron atoms, and with the help of the irreducibhle tensor theory ,and analytical method of calculating the fine-structure energy of fluo-rine-like atoms in the ground state has been established. All the angular integrations and spin summations involved in the problem have been carried out explicitly.The energy is expressed finally as sa sum of radial integrations.The fine-structure energies of the ground state of fluorine-like atoms from Z=9 to 13 have been calculated. The results are in close agreement with the experimental data.
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