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The Liu-Parr new local form of the correlation energy functional [Phys. Rev. A 53 (1996) 2211] has been applied to first- and second-row neutral atoms, positive ions, and both diatomic and polyatomic molecules. This local form originates from the adiabatic connection and functional expansion formulation in density functional theory. It consists of a sum of three or four integrals of density to the...
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