Genetic Synthesis of the Diffraction Profile
In this paper we describe theoretical synthesis of the x-ray diffraction line profile as a superposition of the spectral components Ka1 and Ka2 optimized to the experimental data by the genetic algorithm and nonlinear optimization methods 'Nelder-Mead downhill simplex' and Levenberg-Marqua...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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VSB-Technical University of Ostrava
2004-01-01
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| Series: | Advances in Electrical and Electronic Engineering |
| Subjects: | |
| Online Access: | http://advances.utc.sk/index.php/AEEE/article/view/265 |
| _version_ | 1797827099265859584 |
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| author | Stanislav Jurecka Milan Havlik Maria Jureckova |
| author_facet | Stanislav Jurecka Milan Havlik Maria Jureckova |
| author_sort | Stanislav Jurecka |
| collection | DOAJ |
| description | In this paper we describe theoretical synthesis of the x-ray diffraction line profile as a superposition of the spectral components Ka1 and Ka2 optimized to the experimental data by the genetic algorithm and nonlinear optimization methods 'Nelder-Mead downhill simplex' and Levenberg-Marquardt method. Such combination of global and local optimization methods results in a mathematical model of the diffraction profile, providing reliable determininig of diffraction line characteristics for the material structure properties study. Experimetal results of the optimization preocedures are given too. |
| first_indexed | 2024-04-09T12:42:49Z |
| format | Article |
| id | doaj.art-24def2d5ec534aa681b54da88acc0030 |
| institution | Directory Open Access Journal |
| issn | 1336-1376 1804-3119 |
| language | English |
| last_indexed | 2024-04-09T12:42:49Z |
| publishDate | 2004-01-01 |
| publisher | VSB-Technical University of Ostrava |
| record_format | Article |
| series | Advances in Electrical and Electronic Engineering |
| spelling | doaj.art-24def2d5ec534aa681b54da88acc00302023-05-14T20:50:06ZengVSB-Technical University of OstravaAdvances in Electrical and Electronic Engineering1336-13761804-31192004-01-01312730330Genetic Synthesis of the Diffraction ProfileStanislav JureckaMilan HavlikMaria JureckovaIn this paper we describe theoretical synthesis of the x-ray diffraction line profile as a superposition of the spectral components Ka1 and Ka2 optimized to the experimental data by the genetic algorithm and nonlinear optimization methods 'Nelder-Mead downhill simplex' and Levenberg-Marquardt method. Such combination of global and local optimization methods results in a mathematical model of the diffraction profile, providing reliable determininig of diffraction line characteristics for the material structure properties study. Experimetal results of the optimization preocedures are given too.http://advances.utc.sk/index.php/AEEE/article/view/265diffraction profilegenetic algorithmnonlinear optimizationmathematical model. |
| spellingShingle | Stanislav Jurecka Milan Havlik Maria Jureckova Genetic Synthesis of the Diffraction Profile Advances in Electrical and Electronic Engineering diffraction profile genetic algorithm nonlinear optimization mathematical model. |
| title | Genetic Synthesis of the Diffraction Profile |
| title_full | Genetic Synthesis of the Diffraction Profile |
| title_fullStr | Genetic Synthesis of the Diffraction Profile |
| title_full_unstemmed | Genetic Synthesis of the Diffraction Profile |
| title_short | Genetic Synthesis of the Diffraction Profile |
| title_sort | genetic synthesis of the diffraction profile |
| topic | diffraction profile genetic algorithm nonlinear optimization mathematical model. |
| url | http://advances.utc.sk/index.php/AEEE/article/view/265 |
| work_keys_str_mv | AT stanislavjurecka geneticsynthesisofthediffractionprofile AT milanhavlik geneticsynthesisofthediffractionprofile AT mariajureckova geneticsynthesisofthediffractionprofile |