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We are asked to construct an energy level diagram (molecular orbital) for the molecule SO. We are then asked to comment on the ionic species of SO - bond order, bond distance etc. So far so good.

Then we are asked the bond order of SO^4+ (assuming that it is formed).
I have laboriously drawn out the whole thing (not attached) and the bond order appears to be 3.
This is on the presumption that total electrons would be 20 (16 for S and 4 for O^4+).
This ion would not be paramagnetic.

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In SO4^2- the negative charge on the ion is distributed on two of the oxygen atoms there are six unpaired electrons needed on the sulphur. Promotion of two electrons to the 3d orbitals ...

Solution Summary

The solution constructs an energy level diagram for SO^4+