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Strictly speaking, some single excitations of the CISD space are missing in MP2 calculations. However, these are the excitations that are not directly coupled with the Hartree-Fock reference determinant, owing to Brillouin's theorem. Such excitations contribute only very weakly to stabilize the ground state in a CI calculation.
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Even if symmetry-broken orbitals lower the Hartree-Fock energy relative to the symmetry-adapted solution, the reverse is true for the MPn energies. See for example: Ayala, P. Y.; Schlegel, H. B. J. Chem. Phys. 1998, 108, 7560.
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RS(UHF) at the abscissa of the correlated minimum. As this is precisely the difference that is responsible for the Hartree-Fock error, the latter can only increase when the slope difference increases.
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