ELNES at magic angle conditions.

If one needs to cancel the effects of the anisotropy of the sample in a EELS experiment in the TEM, a particular couple of values for the collection and convergence angle must be used, called magic angle conditions (MAC). Recent developments in the theory have shown that a full relativistic treatment is mandatory to correctly describe this effect and that the MAC are strongly dependent on the acceleration voltage. We show how the analytical formula can be derived and give the exact analytical solution for the MAC which can then be easily applied to every practical case.

Polarization dependence in ELNES: influence of probe convergence, collector aperture and electron beam incidence angle.

The differential scattering cross section in electron energy loss near edge spectroscopy (ELNES) generally depends on the orientation of the Q wave vector transferred from the incident electron to an atomic core electron. In the case where the excited atom belongs to a threefold, fourfold or sixfold main rotation axis, the dipole cross section depends on the angle of Q with respect to this axis. In this paper, we restrict to this situation called dichroism.

The magic angle: a solved mystery.

We resolve the long-standing mysterious discrepancy between the experimental magic angle in EELS--approximately 2theta(E)--and the quantum mechanical prediction of approximately 4theta(E). A relativistic approach surpassing the usually applied kinematic correction yields a magic angle close to the experimental value. The reason is that the relativistic correction of the inelastic scattering cross section in anisotropic systems is significantly higher than in isotropic ones.

HREM, FIM and tomographic atom probe investigation of Guinier-Preston zones in an Al-1.54at% Cu alloy.

An investigation of Guinier-Preston zones in Al-1.54at% Cu alloy annealed for 30h at 100 degrees C was carried out on the same monocrystal with complementary techniques of high-resolution electron microscopy (HREM) and tomographic atom probe-field ion microscopy (TAP-FIM). HREM results show that majority of GP1 zones are monolayers 1-9nm in size.