中文摘要：

结合代数方法（AM）和最近建立的计算精确的分子离解能的新解析表达式，进一步研究了部分双原子离子电子态的完全振动能谱和离解能，获得了与实验值符合得非常好的理论结果．研究结果表明，AM方法和新解析式相结合的理论方法同样也适用于双原子离子体系，该方法在理论上提供了获得双原子离子精确的振动光谱和离解能的物理新方法．

英文摘要：

A parameter-free analytical formula for dissociation energy of diatomic system is suggested recently by Sun et al. Together with the algebraic method （AM） which was presented to obtain accurate full vibrational energies for diatomic molecules in their previous work, the new formula is applied to study the dissociation energies and the full vibrational spectra of some diatomic ions in this work. The results show that the AM vibrational spectra and dissociation energies have excellent agreement with experimental values.