Abstract The multi-reference configuration interaction method and aug-cc-pvqz (AVQZ) have been used to calculate potential energy curves (PECs) of the singlet and triplet states of the $\prod _{\rm u}$ and $\prod _{\rm g}$ symmetry of B$_{2}^{ + + }$. All of the four states ($^1\prod_{\rm u}$, $^{ 1\!}\prod _{\rm g}$, $^{ 3\!}\prod _{\rm u }$ and $^{3\!}\prod _{\rm g})$ are found to be metastable states, though the potential well of $^{3\!}\prod _{\rm u }$ symmetry is very shallow. Based on the PECs, the analytical potential energy functions (APEFs) of these states have been fitted using the least square fitting method and two models of function. The spectroscopic parameters of each state are also calculated, and are compared with other investigations in the literature. The credibility and veracity of the two functions are evaluated. Some ideas to improve the fitting accuracy are presented. Also the vibrational levels for each state are predicted by solving the Schr\"{o}dinger equation of nuclear motion.
Received: 30 November 2005
Revised: 22 May 2006
Accepted manuscript online:
PACS:
05.45.Xt
(Synchronization; coupled oscillators)
Cite this article:
Zhang Xiao-Yan(张晓燕), Yang Chuan-Lu(杨传路), Gao Feng(高峰), and Ren Ting-Qi(任廷琦) Potential energy curves and analytical potential energy functions of the metastable states of B22+ 2006 Chinese Physics 15 1981
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