Using Born-Oppenheimer approximation, we separate the nuclear and electronic parts of the wavefunction, and treat them separately. We include the terms that have direct dependence on the electronic positions in the electronic Hamiltonian,
$$\hat{H}_{e} = \hat{T}_e + \hat{V}_{eN} + \hat{V}_{ee}$$
Thus, the total Hamiltonian is given by:
$$ \hat{H} = \hat{H}_{e} + \hat{V}_{NN} $$
So, what is the definition of electronic energy? According to the source mentioned below, electronic energy does not include $\hat{V}_{NN}$, which makes sense. But, all the electronic structure packages quote the Total energy as the electronic energy. The following is quoted from Gaussian website:
Zero-point correction= .023261 (Hartree/Particle)
Thermal correction to Energy= .026094
Thermal correction to Enthalpy= .027038
Thermal correction to Gibbs Free Energy= .052698
Sum of electronic and zero-point Energies=-527.492585
Sum of electronic and thermal Energies= -527.489751
Sum of electronic and thermal Enthalpies=-527.488807
Sum of electronic and thermal Free Energies=-527.463147
Why is this discrepancy? What is the actual definition of electronic energy?
Source for my argument: http://vergil.chemistry.gatech.edu/notes/quantrev/node31.html