New tetragonal phases of crystalline carbon nitride (CN) and their atomic s
tructures have been identified using a self-consistent-charge density-funct
ional tight-binding method. A tetragonal rocksalt structure provides theore
tical support to recent experimental evidence for a stoichiometric CN phase
with tetragonal symmetry. A body-centered tetragonal CN phase with 1:I sto
ichiometry is predicted to be highly stable and of interesting atomic struc
ture with complicated C-C and N-N dimerizations along the c axis. The cubic
-to-tetragonal transitions are carefully examined to understand the underly
ing mechanism.