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71st IUVSTA Workshop Model studies of the validity of trajectory methods for calculating very low energy (< 100 eV) electron transport in condensed media David Liljequist Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden cemd@fysik.su.se Trajectory methods, for example conventional detailed Monte Carlo trajectory simulation, are often used to calculate plural or multiple scattering of electrons in matter. However, due to the neglect of coherent scattering they cannot be generally valid, but must be regarded as a fortunately useful approximation of quantum scattering. In particular, one may suspect that coherence effect should be more strong with a larger wavelength, causing trajectory methods to fail at low electron energies. In order to study the limits of validity of trajectory methods, one may, if possible, compare them to a corresponding quantum calculation. Such calculations, which involve multiple wave scattering within clusters of atoms, are in general too complex to permit a comparison of scattering in, for example, amorphous matter, within reasonable computer time. There is however one case which permits a both rapid and exact quantum calculation, and that is the multiple elastic scattering of an electron in a cluster of point scatterers. It has recently been shown that this case can be extended to include a model of plural inelastic scattering. Using this method of comparison, the object in which the electron scattering occurs is a cluster with a size of a few nm, containing about 10 3 more or less randomly distributed point scatterers, each scatterer modelling an atom. This may seem a poor model for a real scattering medium, such as bulk amorphous solid or bulk liquid. However, the point scatterer is not a physically unreasonable model at very low electron energies, and simple phase considerations suggest that the validity limits obtained with the point scatterer model should be similar to those obtained for electrons in real amorphous solids or liquids. The presentation aims to give 1) a brief look at the theory of quantum scattering in a cluster of point scatterers, 2) the most recent procedure used for comparison with a corresponding trajectory simulation, and 3) the most important results so far. References D.Liljequist, Nucl.Instr.Meth.B 251 (2006) 27. D.Liljequist, Rad.Phys.Chem. 77 (2008) 835 D.Liljequist, Rad.Phys.Chem. 80 (2011) 291 D.Liljequist, Nucl.Instr.Meth.B 275 (2012) 69 45
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