The electronic structure and magnetic properties of cubic iron nitrides FeN
with NaCl- and ZnS-type structures have been calculated by employing a fir
st-principle full-potential linearized muffin-tin orbital method. The resul
ts show that the local FeN octahedral coordination with a centred nitrogen
atom is an advantageous one with which to exhibit a large exchange splittin
g. Meanwhile, the local Fe-N tetrahedral coordination produces a non-magnet
ic phase, the ZnS-type structure. A super-exchange interaction can reasonab
ly explain the magnetism of the FeN nitrides. In comparison with other Fe-N
compounds, we find a linear dependence of the magnetic moment of iron atom
s with the volume, which corresponds to the octahedral coordination. Furthe
rmore, a magnetic moment instability is presented in the NaCl-type structur
e.