Diffraction at the Edge
Brian Tanner (Durham)
switched tack to talk about variable energy (6.5 – 10 keV) grazing incidence
X-ray reflectivity and reflection from multiple layer transition metal films.
These permalloy NiFe/Cu multilayers with low magnetostriction find application
in hard disc drives and are therefore commercially important devices. The
interface structure (typically nanometres thick) is not normally easy to see
due to small differences in the scattering factor. However each metal possesses
characteristic changes in scattering power close to the K absorption edge. So
multi-wavelength measurements of reflectivity give more information on the
metal multilayer transition, the measurements being taken at a grazing
incidence of less than 1o. In the region above the absorption edges
an oscillatory component (Krammers-Kronig oscillations) in the spectrum was
observed, reminescent of Diffraction Absorption Fine Structure (DAFS), see for
example http://www.cars9.unchicago.edu/dafs/icas/icas.html. This method
combines the crystallographic long range order of XRD with local spectroscopic
sensitivity of X-ray absorption techniques. This enabled these workers to
observe a decrease in the nearest-neighbour distance around the Ni atoms in the
multilayers on annealing. With the advent of SRS the combined use of
spectroscopic, structural & crystallographic methods has been provided by
DAFS.
The next speaker John Goff
(Liverpool) continued the theme of magnetic materials by talking on “Resonant
X-ray scattering from magnetic multilayers and alloys” usually given the
acronym XMRS. The materials used in the study were Nd/Pr thin films
manufactured by Molecular Beam Epitaxy (MBE) having tailor made physical properties
and Ho-Ce alloys because single crystals were difficult to obtain. During the
1980’s long range magnetic ordering was shown in rare earth systems while
traditionally neutron diffraction techniques have been widely used. XMRS offers
advantages by tuning of the resonant energies enabling different components of
complex systems to be studied separately also there are enormous gains in the
signal-noise ratio. This latter point is of crucial importance for epitaxial
systems where the volume of the magnetic material is small. XMRS has thus
provided new insight into the complex magnetism of supperlattices and alloys.
The final lecture was an
extended talk of 1 hour by an invited speaker from Moscow, Vladimir
Dimitrienko, on a highly mathematical excursion into the realm of “Anisotropy
of anomalous scattering: An interface between crystallography and material
science”. This provided an opportunity to renew old acquaintances as I had met
Vladimir in Nijmegen, Netherlands for the Aperiodic 2000 conference. We were
reminded that X-ray “forbidden” Bragg reflections are excited at energies near
absorption edges because the X-ray susceptibility is anisotropic. This
anisotropy results from distortion of the atomic wave functions by crystal
fields so that near the absorption edges the scattering factors become
tensorial. Physical factors that can distort the atomic wave functions include
thermal motion or point defects and can thus be studied. Polarization
anisotropy of X-ray absorption is similar. The extinction rules for glide-plane
and screw-axis need to be relaxed so that the anisotropy induced “forbidden”
reflections can be observed. In conclusion this work may find theoretical
application to incommensurate crystals while observations have been made in
liquid crystals. Anisotropy forbidden reflections have also been observed in a
number of materials including NaBrO3, TiO2, Fe2O3
amongst them, to put this work on an empirical basis.
After three days of
stimulating talks on a whole range of topics, you could finally say we really
were “taken to the edge….”
Birkbeck College