We present an experimental study of the influence of the Si substrate
orientation on the growth modes and relaxation mechanisms of Si1-xGex
for x ranging between 0 and 1 (misfit m up to 4%). At low misfits (m <
1%), strain is relaxed on both Si(001) and (111) orientations by the
well-known tetragonal distortion. The latter is about twice as large o
n (001) as on (111), in good agreement with linear elastic theory. In
this low stress regime, Si1-xGex/Si(001) heterostructures display surf
ace morphology fluctuations due to the kinetic roughening phenomenon.
With increasing thickness, this surface roughness orders into small is
otropic undulations of large wavelength. At larger misfits (l% < m < 2
.7%), in the regime of medium stress, the surface morphology dramatica
lly changes with the substrate orientation. While a growth instability
leads to undulation of Si0.7Ge0.3(001), the Si0.7Ge0.3(111) remains c
ompletely flat and strained. This indicates a total inhibition of the
growth instability on Si(111), whatever the elastic strain energy. We
suggest, in agreement with recent theoretical models, that the develop
ment of the growth instability is related also to atomic step interact
ions. This is consistent with our CBED, GIXRD and HREM analyses which
demonstrate a negligible elastic relaxation of the Si0.7Ge0.3(001) in-
plane parameter. Consequently, the elastic relaxation of the undulated
layer currently invoked in the literature cannot be the single underl
ying mechanism for the development of the growth instability in Si1-xG
ex epilayers. (C) 1998 Elsevier Science B.V. All rights reserved.