Lattice constants, bulk moduli, band gaps, electronic bonding, and the stab
ility of 20 new nitrides with spinel structure are studied by first-princip
les calculations. Double nitrides AB(2)N(4) are found to be stable when the
counterparts BA(2)N(4) are metastable except for TiZr2N4. The four single
nitrides C3N4, Si3N4 Ge3N4, and Sn3N4 have direct band gaps at the Gamma po
int ranging from 1.14, to 3.45 eV while Zr3N4 and Ti3N4 have small indirect
gaps. For double nitrides, both metallic and insulating band structures ar
e possible. The total bond orders of the stable double nitrides are larger
than those of Constituent single nitrides. Among them, CSi2N4 shows excepti
onally strong covalent bonding and a large bulk modulus. A simple scaling l
aw based on bond lengths can describe the bulk moduli of these spinel nitri
des quite well.