通过拟合相对论量子数亏损计算较高Z元素类氢离子的电离能

Calculation of ionization energy of higher Z hydrogen-like ions with fitting relativity quantum number defect

依据离子能级的单通道相对论量子亏损理论,给出了类氢离子相对论电离能的一种表达式.根据原子序数1至20的元素类氢离子电离能的实验数据,考虑到核体积与核质量修正,对相对论电离能表达式中的量子数亏损进行拟合,根据拟合结果计算的电离能理论值在实验误差范围与实验值完全相符.计算了原子序数21至55的类氢离子的电离能,并与其他方法的计算结果进行了对比分析.

Based on relativity quantum defect theory of ion＇s energy levels,an expression of relativity ionization energy of hydrogen-like ions has been obtained.Taking into account the correction of nuclear size and nuclear mass,with the experimental data of ionization energy of hydrogen-like ions from Z=1 to 20,the relationship of the quantum number defect with the atomic number is obtained by using curve fitting.The ionization energy of hydrogen-like ions based on the relationship is consistent with the experimental data.The ionization energy of hydrogen-like ions from Z=21 to 55 has been calculated and compared with the calculated results based other method.