Electron momentum density and Compton profile by a semi-empirical approach
Here we propose a semi-empirical approach to describe with good accuracy the electron momentum densities and Compton profiles for a wide range of pure crystalline metals. In the present approach, we use an experimental Compton profile to fit an analytical expression for the momentum densities of the...
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00223697_v83_n_p64_Aguiar http://hdl.handle.net/20.500.12110/paper_00223697_v83_n_p64_Aguiar |
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paper:paper_00223697_v83_n_p64_Aguiar2023-06-08T14:50:19Z Electron momentum density and Compton profile by a semi-empirical approach Mitnik, Dario Marcelo Approximation Compton profile Electron momentum density Lam-Platzman correction Local density Beryllium Compton scattering Distribution functions Electron gas Electron-electron interactions Ground state Kinetic energy Kinetics Momentum Analytical expressions Approximation Compton profiles Conduction electrons Electron momentum densities Fermi-Dirac distribution function Local density Semi-empirical approach Electrons Here we propose a semi-empirical approach to describe with good accuracy the electron momentum densities and Compton profiles for a wide range of pure crystalline metals. In the present approach, we use an experimental Compton profile to fit an analytical expression for the momentum densities of the valence electrons. This expression is similar to a Fermi-Dirac distribution function with two parameters, one of which coincides with the ground state kinetic energy of the free-electron gas and the other resembles the electron-electron interaction energy. In the proposed scheme conduction electrons are neither completely free nor completely bound to the atomic nucleus. This procedure allows us to include correlation effects. We tested the approach for all metals with Z=3-50 and showed the results for three representative elements: Li, Be and Al from high-resolution experiments. © 2015 Elsevier Ltd. All rights reserved. Fil:Mitnik, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00223697_v83_n_p64_Aguiar http://hdl.handle.net/20.500.12110/paper_00223697_v83_n_p64_Aguiar |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Approximation Compton profile Electron momentum density Lam-Platzman correction Local density Beryllium Compton scattering Distribution functions Electron gas Electron-electron interactions Ground state Kinetic energy Kinetics Momentum Analytical expressions Approximation Compton profiles Conduction electrons Electron momentum densities Fermi-Dirac distribution function Local density Semi-empirical approach Electrons |
| spellingShingle |
Approximation Compton profile Electron momentum density Lam-Platzman correction Local density Beryllium Compton scattering Distribution functions Electron gas Electron-electron interactions Ground state Kinetic energy Kinetics Momentum Analytical expressions Approximation Compton profiles Conduction electrons Electron momentum densities Fermi-Dirac distribution function Local density Semi-empirical approach Electrons Mitnik, Dario Marcelo Electron momentum density and Compton profile by a semi-empirical approach |
| topic_facet |
Approximation Compton profile Electron momentum density Lam-Platzman correction Local density Beryllium Compton scattering Distribution functions Electron gas Electron-electron interactions Ground state Kinetic energy Kinetics Momentum Analytical expressions Approximation Compton profiles Conduction electrons Electron momentum densities Fermi-Dirac distribution function Local density Semi-empirical approach Electrons |
| description |
Here we propose a semi-empirical approach to describe with good accuracy the electron momentum densities and Compton profiles for a wide range of pure crystalline metals. In the present approach, we use an experimental Compton profile to fit an analytical expression for the momentum densities of the valence electrons. This expression is similar to a Fermi-Dirac distribution function with two parameters, one of which coincides with the ground state kinetic energy of the free-electron gas and the other resembles the electron-electron interaction energy. In the proposed scheme conduction electrons are neither completely free nor completely bound to the atomic nucleus. This procedure allows us to include correlation effects. We tested the approach for all metals with Z=3-50 and showed the results for three representative elements: Li, Be and Al from high-resolution experiments. © 2015 Elsevier Ltd. All rights reserved. |
| author |
Mitnik, Dario Marcelo |
| author_facet |
Mitnik, Dario Marcelo |
| author_sort |
Mitnik, Dario Marcelo |
| title |
Electron momentum density and Compton profile by a semi-empirical approach |
| title_short |
Electron momentum density and Compton profile by a semi-empirical approach |
| title_full |
Electron momentum density and Compton profile by a semi-empirical approach |
| title_fullStr |
Electron momentum density and Compton profile by a semi-empirical approach |
| title_full_unstemmed |
Electron momentum density and Compton profile by a semi-empirical approach |
| title_sort |
electron momentum density and compton profile by a semi-empirical approach |
| publishDate |
2015 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00223697_v83_n_p64_Aguiar http://hdl.handle.net/20.500.12110/paper_00223697_v83_n_p64_Aguiar |
| work_keys_str_mv |
AT mitnikdariomarcelo electronmomentumdensityandcomptonprofilebyasemiempiricalapproach |
| _version_ |
1768543407192408064 |