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

作　　者：李耀宗[1] 张知侠[1] 梁昌慧[1] 张小安[2] 

机构地区：[1]咸阳师范学院,陕西咸阳712000 [2]中国科学院近代物理研究所,甘肃兰州730000

出　　处：《西北师范大学学报（自然科学版）》2012年第1期36-40,共5页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11075135);咸阳师范学院重点科研项目(11XSYK203)

摘　　要：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.

关 键 词：类氢离子 电离能 量子数亏损 

分 类 号：O562.4[理学—原子与分子物理]