It is well known that the potential curve of ground state for almost a
ll neutral diatomic molecules has only one minimum. However, the doubl
y charged diatomic ions may have both potential minimum and maximum or
singly repulsive branch. In order to describe the potential of this k
ind of diatomic ions, two of the authors Zhu and Wang have proposed a
new analytical potential function with four parameters a(i) (i=1,...,4
), and rho = R - R-min for those with both minimum and maximum, and rh
o = R for those with singly repulsive branch. The present work has der
ived this new potential function for HBe2+ with R-min = 0.182 nm, R-ma
x = 0.335 nm and Delta E = E-max - E-min = 0.84 eV, and for HB2+ with
R-min = 0.147 nm, R-max = 0.185 nm and Delta E = E-max - E-min = 0.062
eV. It is found that the potential for HF2+ is one with singly repuls
ive branch. The dissociation limits, parameters a(i)(i=1,...,4), force
constants and spectroscopic data of these ions all are given out.