中文摘要：

功能被介绍的构造分析势能上的一个新方法，然后为精确计算两价的分子和离子的系列的相对通用的分析势能功能被导出。而且，六种普通势能弯包含三主要潜在的弯曲即稳定的州的、亚稳的状态和排斥状态从这势能功能被获得。最后，包括 tc 的 13 个两价的分子和离子的分光镜的参数被使用潜在的函数计算，作为后果，所有计算结果在对试验性的数据的好同意。

英文摘要：

A new method on constructing analytical potential energy functions is presented, and then a relatively universal analytical potential energy function for precisely calculating the spectra of ＇iatomic molecules and ions is derived. Furthermore, six kinds of common potential energy curves containing three main potential curves i,e. steady state, metastable state and repulsive state are obtained from this potential energy function. Finally, spectroscopic parameters of thirteen diatomic molecules and ions including BeD-X^2∑＋, BeT-X^2∑^＋ and Na2-X^1∑g^＋ etc are calculated by using the potential function, as a consequence, all calculation results are in good agreement with experimental data.