C. F. Yu et al. / Natural Science 2 (2010) 184-189

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189

good results. This shows that the method of constructing

analytical potential energy function by means of phase is

effective and reliable. Compared with other potential

energy functions, the potential energy function given in

this paper has two merits: 1) The undetermined parame-

ter equations determined by experimental spectroscopic

parameters are linear equations. Because these linear

equations have unique real number solutions, so this

potential energy function has a extensive universality; 2)

This potential energy function can describe four different

kinds of diatomic molecules or ions—homonuclear neu-

tral diatomic molecules, homonuclear charged diatomic

molecular ions, heternuclear neutral diatomic molecules

and heternuclear charged diatomic molecular ions; In

addition, This potential energy function can also de-

scribe accurately the behaviors of potential curves over a

fairly wide range of internuclear distance.

Potential energy functions of diatomic molecules are

the basis to the studies of multi-atomic molecules, ions

and clusters, which have extremely significances and

applied values in the study of material science, molecu-

lar spectrum chemical reaction etc. Chemical reaction,

molecular collision and many other problems need pre-

cise analytical potential energy functions. Thus, the stud-

ies of analytical potential energy function will still be

important subject in atomic and molecular physics.

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