类氧离子基态能量的变分计算

Variational Calculation of the Ground State Energy in the Oxygen-Like Atom

利用对角和法则,导出了类氧离子非相对论基态能量解析表达式,在考虑了电子间交换相互作用以及内外壳层电子的不同屏蔽效应的基础上,利用变分原理确定了类氧离子基态各电子的波函数,并进一步计算了类氧离子基态的不同光谱项的能量值,计算结果与实验数据,误差均小于0.5%。

Based on the diagonal sum rule, the non-relativistic energy levels of ground state of the oxygen-like atoms are given analytically. Taking the exchange interaction between the inner shell and outer shell electrons and the dissimilar screening parameters for the different shells into consideration, this paper obtains electronic wave function of Oxygen-like atom of ground state by variational method, and then calculates the energy levels of ground state of the oxygen-like atoms. The calculating results are in good agreement with the experimental data with only a difference of less than 0.5%.