Exact Exchange-Correlation Functional for the Infinitely Stretched   Hydrogen Molecule
  The exchange-correlation hole density of the infinitely stretched (dissociated) hydrogen molecule can be cast into a closed analytical form by using its exact wave function. This permits to obtain an explicit exchange-correlation energy functional of the electron density which allows for its functional derivation to yield the corresponding Kohh-Sham effective exchange-correlation potential. We have shown that this exchange-correlation functional is exact for the dissociated hydrogen molecule, yields its dissociation energy correctly, and its corresponding exchange-correlation potential has the correct $-1/r$ asymptotic behavior. 
Eduard Matito, David Casanova, Xabier Lopez and Jesus M. Ugalde
physics.chem-ph