Dear Mohamed,
If you look closely at your converged orbitals/spinors, you’ll see that in the spin-free case the two open-shell orbitals are the Au 6s and a Au 6d. In the SO case, the calculation converged to 6d3/2 and a 6d5/2 spinors. You can either do some REORDER MOS on the latter converged spinors or I would recommend using the MJSELEC option to specify the mj of the occupied and open shell spinors. I would also recommend adding:
**ANALYZE
.MULPOP
*MULPOP
So that you get a little more detail on the character of the spinors in the Mulliken analysis.
Regards, -Kirk
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