Jp. Mccaffrey et al., MEASUREMENT OF INDIUM SEGREGATION IN STRAINED INXGA1-XAS GAAS QUANTUM-WELLS BY TRANSMISSION ELECTRON-MICROSCOPY/, Philosophical magazine. A. Physics of condensed matter. Structure, defects and mechanical properties, 75(3), 1997, pp. 803-821
During the production of InxGa1-xAs quantum wells by the crystal growt
h technique of molecular beam epitaxy, the indium tends to accumulate
in the surface layer and to float on the crystal growth surface. This
effect delays incorporation of the indium into the quantum well and re
sults in a graduated value of x across the well. Detailed indium conce
ntration profile information is essential if accurate theoretical mode
ls are to be applied to describe these quantum wells. Therefore, to qu
antify this indium segregation we combine the complementary results of
two experimental techniques: transmission electron microscopy (TEM) a
nd double-crystal X-ray diffraction (DCXRD). The indium concentration
well profiles were determined through an analysis of the contrast vari
ation in (200) dark-held TEM images. Differences of less than 0.5% ind
ium concentration were discernible. The DCXRD analysis provided an acc
urate value for the total amount of indium in the individual wells whi
ch was used as the scaling factor for the TEM concentration profile. T
o ensure that the observed contrast differences were due to variations
in indium concentration and were not merely TEM sample preparation ar
tefacts, high-quality cross-sectional TEM samples with parallel cleave
d surfaces free of ion-milling damage were required. Accurate thicknes
s values for the samples were also needed. A TEM sample preparation te
chnique was developed to provide these requirements. Indium concentrat
ion profiles were taken from intensity line scans across dark-held TEM
images of these samples. These profiles were interpreted by a simple
kinematical theory (structure factor) calculation, and then by a more
rigorous model using the dynamical theory of electron diffraction. The
results of these two models were then checked for consistency with th
e results of the DCXRD measurement. The model profiles of indium segre
gation within the quantum wells, calculated using the structure factor
approach for up to 35% indium content, matched very closely the profi
les produced by the use of dynamical theory. Both sets of model profil
es strongly supported the DCXRD results. These results demonstrate tha
t a simple structure factor calculation in conjunction with a DCXRD me
asurement can allow an accurate measure of quantum well profiles and o
f the abruptness of InxGa1-xAs on GaAs and GaAs on InxGa1-xAs interfac
es. This information is a powerful aid in the modelling and understand
ing of devices based on these structures.