A method for measuring and mapping displacement fields and strain fiel
ds has been developed. It is based on the Fourier analysis of a HRTEM
lattice image selecting a strong Bragg reflection and performing an in
verse Fourier transform. The phase component of the resulting complex
image gives information on local displacements of atomic planes. The t
wo-dimensional (2D) displacement field can then be derived by applying
the method to two non-collinear Fourier components. Local strain tens
or components epsilon(xx)((r) over bar), epsilon(yy)((r) over bar), ep
silon(xy)((r) over bar) and epsilon(yx)((r) over bar) can be obtained
by analysing the derivative of the displacement field. Applied to HRTE
M images of thin films, this technique gives quantitative information
on the variations of the strain relaxations in the different layers. T
he method is illustrated studying a fully relaxed GaSb/GaAs interface.
(C) 1998 Elsevier Science S.A.