Multiple elastic scattering of electrons in condensed matter
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A. Jablonski
A. JablonskiInstitute of Physical Chemistry, Polish Academy of Sciences
Description of this data
Since the 1940s, much attention has been devoted to the problem of accurate theoretical description of electron transport in condensed matter. The needed information for describing different aspects of the electron transport is the angular distribution of electron directions after multiple elastic collisions. This distribution can be expanded into a series of Legendre polynomials with coefficients, A_l. In the present work, a database of these coefficients for all elements up to uranium (Z=92) and a dense grid of electron energies varying from 50 eV to 5000 eV has been created. The database makes possible the following applications: (i) accurate interpolation of coefficients A_l for any element and any energy from the above range, (ii) fast calculations of the differential and total elasticscattering cross sections, (iii) determination of the angular distribution of directions after multiple collisions, (iv) calculations of the probability of elastic backscattering from solids, and (v) calculations of the calibration curves for determination of the inelastic mean free paths of electrons. The last two applications provide data with comparable accuracy to Monte Carlo simulations, yet the running time is accelerated by several orders of magnitude. All of the above applications are implemented in the Fortran program MULTI_SCATT. Numerous illustrative runs of this program are described. Despite a relatively large volume of the database of coefficients A_l, the program MULTI_SCATT can be readily run on personal computers.
Experiment data files
Description of this data
Since the 1940s, much attention has been devoted to the problem of accurate theoretical description of electron transport in condensed matter. The needed information for describing different aspects of the electron transport is the angular distribution of electron directions after multiple elastic collisions. This distribution can be expanded into a series of Legendre polynomials with coefficients, A_l. In the present work, a database of these coefficients for all elements up to uranium (Z=92) and a dense grid of electron energies varying from 50 eV to 5000 eV has been created. The database makes possible the following applications: (i) accurate interpolation of coefficients A_l for any element and any energy from the above range, (ii) fast calculations of the differential and total elasticscattering cross sections, (iii) determination of the angular distribution of directions after multiple collisions, (iv) calculations of the probability of elastic backscattering from solids, and (v) calculations of the calibration curves for determination of the inelastic mean free paths of electrons. The last two applications provide data with comparable accuracy to Monte Carlo simulations, yet the running time is accelerated by several orders of magnitude. All of the above applications are implemented in the Fortran program MULTI_SCATT. Numerous illustrative runs of this program are described. Despite a relatively large volume of the database of coefficients A_l, the program MULTI_SCATT can be readily run on personal computers.
Experiment data files
This data is associated with the following peer reviewed publication:
Multiple elastic scattering of electrons in condensed matter
Cite this article
Latest version

Version 1
20160922
Published: 20160922
DOI: 10.17632/cvt9yz9gj8.1
Cite this dataset
Jablonski, A. (2016), “Multiple elastic scattering of electrons in condensed matter”, Mendeley Data, v1 http://dx.doi.org/10.17632/cvt9yz9gj8.1
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The files associated with this dataset are licensed under a GNU Public License Version 3 licence.
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