A new technique is presented to directly measure strains in epitaxial
systems from high-resolution electron microscope (HREM) images. This m
ethod involves the calculation of the cumulative sum (CUSUM) of deviat
ions from an average lattice fringe spacing value. Even when the varia
tion in individual lattice fringe spacings is large compared to the di
fference in fringe spacing due to strain, the CUSUM method is capable
of providing reliable strain determinations. The CUSUM approach was ap
plied to three samples of semiconductor In1-xAlxSb/InSb (0 less than o
r equal to x less than or equal to 0.5) bilayer and superlattice syste
ms in [1(1) over bar0$] zone-axis projection. It was found that the ep
itaxial strains obtained from the HREM CUSUM method agreed with the bu
lk X-ray diffraction values when the sample thicknesses were on the or
der of 80-100 nm. Thinner specimens, on the order of 10-20 nm, display
ed significant surface relaxation effects.