Our present knowledge on the structure of icosahedral and decagonal quasicr
ystals has strongly profited from the combined information inferred from el
ectron diffraction patterns and high-resolution transmission electron micro
scopy (HRTEM) images. Many structural properties of quasicrystals can be re
cognized and quantified by the analysis of electron diffraction patterns al
one. Nevertheless, a much more complete understandings of the real structur
e of quasicrystals can be achieved by the additional analysis of the HRTEM
images. Compared to only diffraction-based techniques, transmission electro
n microscopy offers several advantages. Especially for decagonal quasicryst
als, the HRTEM has been very successful in analyzing the atomic as well as
the long-range structure. This is linked with the fact that decagonal quasi
crystals are periodic along one direction and the atoms thus form periodic
atom columns as in crystalline materials. Accordingly, the imaging theory e
stablished for crystals can also be applied to the HRTEM images of decagona
l quasicrystals taken with the electron beam parallel to the 10-fold axis.
The HRTEM images of decagonal Al-Mn-Pd and Al-Co-Ni quasicrystals have been
used to distinguish between disorder and order: such as, the difference be
tween a random tiling acid perfect quasiperiodicity. The structural analysi
s of icosahedral quasicrystals by HRTEM is briefly, but critically, analyze
d and applications for icosahedral Al-Mn-Pd quasicrystals are discussed. (C
) 2000 Elsevier Science B.V. All rights reserved.