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We use density functional theory and the Green function formalism with charge energy effect included in the self-consistent calculation of the Ⅰ- Ⅴ characteristics of a single benzene ring with an appendage of cf3, and identify some interesting properties of the Ⅰ-Ⅴ characteristics at low bias. The molecule picks up a fractional charge at zero bias, then the additional fractional charge produces a barrier on the junction of the molecule and contacts to perturb current flow on the molecule. This phenomenon may be useful for the design of future molecular devices.