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Title
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Generalised oscillator strength for core-shell electron excitation by fast electrons based on Dirac solutions
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Author
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Abstract
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| Inelastic excitation as exploited in Electron Energy Loss Spectroscopy (EELS) contains a rich source of information that is revealed in the scattering process. To accurately quantify core-loss EELS, it is common practice to fit the observed spectrum with scattering cross-sections calculated using experimental parameters and a Generalized Oscillator Strength (GOS) database [1]. The GOS is computed using Fermi’s Golden Rule and orbitals of bound and excited states. Previously, the GOS was based on Hartree-Fock solutions [2], but more recently Density Functional Theory (DFT) has been used [3]. In this work, we have chosen to use the Dirac equation to incorporate relativistic effects and have performed calculations using Flexible Atomic Code (FAC) [4]. This repository contains a tabulated GOS database based on Dirac solutions for computing double differential cross-sections under experimental conditions. We hope the Dirac-based GOS database can benefit the EELS community for both academic use and industry integration. Database Details: - Covers all elements (Z: 1-108) and all edges - Large energy range: 0.01 - 4000 eV - Large momentum range: 0.05 -50 Å-1 - Fine log sampling: 128 points for energy and 256 points for momentum - Data format: GOSH [3] Calculation Details: - Single atoms only; solid-state effects are not considered - Unoccupied states before continuum states of ionization are not considered; no fine structure - Plane Wave Born Approximation - Frozen Core Approximation is employed; electrostatic potential remains unchanged for orthogonal states when - core-shell electron is excited - Self-consistent Dirac–Fock–Slater iteration is used for Dirac calculations; Local Density Approximation is assumed for electron exchange interactions; continuum states are normalized against asymptotic form at large distances - Both large and small component contributions of Dirac solutions are included in GOS - Final state contributions are included until the contribution of the previous three states falls below 0.1%. A convergence log is provided for reference. Version 1.1 release note: - Update to be consistent with GOSH data format [3], all the edges are now within a single hdf5 file. A notable change in particular, the sampling in momentum is in 1/m, instead of previously in 1/Å. Great thanks to Gulio Guzzinati for his suggestions and sending conversion script. Version 1.2 release note: - Add “File Type / File version” information [1] Verbeeck, J., and S. Van Aert. Ultramicroscopy 101.2-4 (2004): 207-224. [2] Leapman, R. D., P. Rez, and D. F. Mayers. The Journal of Chemical Physics 72.2 (1980): 1232-1243. [3] Segger, L, Guzzinati, G, & Kohl, H. Zenodo (2023). doi:10.5281/zenodo.7645765 [4] Gu, M. F. Canadian Journal of Physics 86(5) (2008): 675-689. |
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Language
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English
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Publication
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Zenodo
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2023
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DOI
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10.5281/ZENODO.8360240
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Volume/pages
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Full text (Publisher's DOI)
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