A physical picture of molecular beam epitaxy (MBE) growth is presented
in a consistent form taking into consideration the atomistic nature o
f crystallization phenomena occurring in this process. To this end, th
e entire MBE growth system directly involved in epitaxial crystallizat
ion is divided into three different parts. The crystalline solid phase
of the substrate, or the already grown epilayer, is one extreme, the
gaseous phase of the intersecting molecular beams is the second extrem
e and the transition layer in between, where transition from a gas to
a crystal occurs, creates the third part of the system. The transition
layer, where all processes leading to epitaxy occur, is obviously the
most important part of the growth system. Its geometrical form and th
e processes occurring there depend strongly on the growth conditions c
hosen. The following approaches have been considered when discussing t
he attributes of MBE growth processes: (i) thermodynamics, (ii) ''surf
ace sites-particle'' interaction analysis, and (iii) chemical bond qua
ntum mechanics. Taking as examples: (i) MBE of non-stoichiometric stru
ctures, (ii) UHV atomic layer epitaxy, and (iii) self-organization eff
ects in MBE, the importance of the transition layer concept for unders
tanding MBE growth processes has been illustrated.