Calculated absolute cross sections for the electron-impact ionization of the lanthanide atoms using the Deutsch-Märk (DM) formalism

Ionization Cross Sections for Low Energy Electron Transport

“…In fact, when subject to the validation process described in section VII, the calculated DM cross sections are compatible with experimental data in most of the test cases exhibiting relatively large discrepancies with respect to recently published original values: apart from cerium, gadolinium and dysprosium, all the elements exhibiting greater than 10% average difference with respect to original references are compatible with experimental data with 0.05 significance over the energy range covered by measurements; the calculations for gadolinium and dysprosium are compatible with measurements above 20 eV. It is worthwhile to note that also the cross sections for cerium, gadolinium and dysprosium recently published by the original authors [58] exhibit visible differences with respect to experimental data. Regarding the discrepancy between calculated and original cross sections for argon, the controversial experimental situation depicted in Fig.…”

“…The formulation of the DM model was revised in 2004; therefore, only cross section values published since then [48], [49], [57], [58] were considered as a reference in the software verification process.…”

“…Cross sections for the ionization of atoms based on the BEB and DM models have been previously subject to comparison with experimental measurements (e.g. [46], [49], [57], [58], [68]- [71]); these comparisons involve a limited number of target elements and experimental data sets, and rely on qualitative visual appraisal of the compatibility between models and measurements. They concern calculations performed by the original authors, which, as discussed in the previous sections, in some cases cannot be reproduced, as not all the original parameters in the model formulation are publicly documented.…”