中文摘要：

从双原子分子能级的物理表达式出发进行多次微分,建立了预测双原子分子体系R支高振转跃迁谱线的新解析公式.使用新解析公式预测双原子体系R支高阶跃迁谱线的数据时,最多只需15条精确的实验跃迁谱线和该跃迁带中对应的上下振动态的转动光谱常数Bv′和Bv″将该解析公式用于预测Cl2^＋离子A~2Πu—X~2Πg跃迁系（3,7）带和（4,8）带的跃迁谱线,不仅精确的重复了实验给出的较低阶的跃迁光谱数据值,而且正确预言了所研究体系中缺失的振转跃迁谱线,尤其是高阶的跃迁谱线数据.

英文摘要：

Based on the physical energy expression of diatomic molecule,an analytical formula is developed by taking multiple differences to predict the R-branch rovibrational transition spectral lines of diatomic system.Only 15 accurate experimental transition lines,and two rotational constants B（v＇）,B（v＂） corresponding to transition band（v＇,v＂） are needed when the new formula is used.The new formula is used to study the transition lines of（3,7） and（4,8） bands of the A^2Πu-X^2Πg system of Cl2~＋ion.Not only the experimental transition lines are reproduced,but also the lost ones,especially the high-lying transitions ones are obtained.