I wanted to express my heartfelt thanks for taking the time to address my query regarding Pauli repulsion.
Thank you again for your kindness and expertise!
Total interaction energy: -1831.63 kcal/mol
Physical components of interaction energy derived by sobEDA:
Electrostatic (E_els): -935.60 kcal/mol
Exchange (E_x): -36.20 kcal/mol
Pauli repulsion (E_rep): 170.01 kcal/mol
Exchange-repulsion (E_xrep = E_x + E_rep): 133.81 kcal/mol
Orbital (E_orb): -1002.25 kcal/mol
DFT correlation (E_DFTc): -7.54 kcal/mol
Dispersion correction (E_dc): -20.05 kcal/mol
Coulomb correlation (E_c = E_DFTc + E_dc): -27.59 kcal/mol
In the template.gjf you sent to me, Ga uses SDD. The key reason for your weird result I think is the SDD basis set embedded in Gaussian is too poor for Ga, there is even no d polarization function. Even def2-SVP is much better (at least there are d polarization functions). So, my suggestion is never using SDD for Ga, In, Tl, just using def2-TZVP for them like C and O.
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