The theory of CVD diamond growth has developed into a mature subject o
f study over the last few years. In this paper, we do not try to repro
duce or summarize all the work performed to date, but rather focus on
the important conceptual differences between the theoretical methods u
sed and their practical differences with selected results from suggest
ed CVD diamond reaction schemes. We conclude with an examination of tw
o recent theoretical results which indicate that surface diffusion on
{110} surfaces is probable and highly anisotropic and on some diamond
surfaces (e.g. {111} surfaces at ledges and where twin boundaries pene
trate) a displacive transition to a graphite layer can occur.