You may want to study Mg-doped GaN as this would be a p-type semiconductor but 
you certainly would not want to study antiferromagnetic coupling between Mg2+ 
ions as Prof. Blaha has pointed out.
However if you were interested in Mg-doped GaN you would probably want a low 
level of dopant and hence a large supercell.
Or you may have been asked to look at manganese (Mn) rather than magnesium 
(Mg).  You would then need to decide on the oxidation state of the Mn ion, 
possibly Mn3+ on a Ga site.

Elaine A. Moore
Department of Chemistry and Analytical Science
The Open University
UK




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