A non-equilibrium thermodynamic coupling model is applied to diamond g
rowth in CH4/H-2 gas mixtures and oxyacetylene flames, and the phase d
iagrams of diamond synthesis in these two systems are calculated. Thes
e phase diagrams are different from those predicted by classical equil
ibrium thermodynamics, because a diamond growth region, where diamond
is a stable phase, exists in each calculated phase diagram. The appear
ance of the diamond growth region is attributed to the super-equilibri
um atomic hydrogen and/or oxygen during the growth processes. Accordin
g to the calculated phase diagrams stable growth of diamond in CH4/H-2
and C2H2/O-2 mixtures can be well understood.