question about multiplicity


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I have a system which I am trying to run a broken symmetry calculation. The two fragments are antiferromagnetically-coupled.

The first fragment has charge -1 and S=9/2.

The second fragment has charge -1 and also S=9/2.

The overall molecule has charge -2 and S=0.

When my input specifies the first fragment with charge= -1 multiplicity= -10, second fragment with charge=-1 multiplicity= 10, and overall molecule with charge= -2 multiplicity= 1, I do not get any error.

However, when my input specifies the first fragment with charge= -1 multiplicity= -8, second fragment with charge=-1 multiplicity= 10, and overall molecule with charge= -2 multiplicity= 1, I get an error.

Does anyone know why this is so?

I thought multiplicity is 2S+1, and so if I treat the first fragment as spin up and second fragment as spin down, the second scenario should work and not the first?

Thanks so much for any help!