Analytical Potential Energy Function for Doubly Charged Ions O2+2, Be2+2 and He2+2

A new analytical potential function is proposed in our preceding paper as 　　　V=(a1)/(ρ-a2)-(a3)/((ρ+a4)2) which can be used to describe the potential curves for doubly charged diatomic ions with both potential minimum and maximum where ρ=R-Rmin, if R=Rmin, ρ=0, if R=Rmax, ρ=Rmax-Rmin. The parameters a1～a4 are obtained by a least-squares fit based on the ab initio calculations, the values of parameters Rmin and Rmax are fixed from the same calculations. The application of this function is quite flexibly, for it can be also used to describe the potential curves without any potential minimum and maximum, i.e., no stationary point, where ρ=R. The present paper is to examine the proposed potential function form further by describing potential curves of O2+2, Be2+2 and He2+2. The calculations using the theoretical method CID with basis set 6-311++G* have showed the Rmin(?) and Rmax(?) to be 1.045 and 1.60, 2.141 and 3.50, and 0.736 and 1.05 for the ground state X1Σ+g of O2+2, Be2+2 and He2+2, respectively, which are in good agreement with reference data. The analytical potential function for the ground state of these doubly charged diatomic ions have been successfully derived for the first time.