铝原子和类铝离子基态能量的变分计算

Calculation of the Energy Level of the Ground State of Aluminum-Like Atoms

利用对角和法则,导出了铝原子和类铝离子(Z=13-18)基态非相对论能量的解析表达式,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,利用变分原理计算了非相对论能量值,计算结果与实验数据符合得较好,误差均小于0.3%.

Based on the diagonal sum rule, the non-relativistic energy levels of ground state of the aluminum-like atoms from Z = 13 to 18 is derived analytically. The exchange interaction between the inner shell and outer shell electrons and the dissimilar screening parameters for the different shells are considered. Then the energy levels have been calculated by variational method. The calculated results are in good agreement with the experimental data, and the difference between the calculated result and the experimental data is less than 0.3 %.