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To determine the Coulombic and exchange energies, we need more information. Please provide the following details:
1. The atomic orbitals involved: Specify the type of orbitals (e.g., 1s, 2p, etc.) and the atoms they belong to.
2. The number of electrons in each orbital: This is represented by the arrows (up or down) in your provided state.
3. The atomic number of the atom/ion: This allows us to calculate the nuclear charge (Z) which influences Coulombic interactions.
With this information, we can calculate the Coulombic and exchange energies using quantum mechanical methods like the Hartree-Fock approximation.