Localized Basis Set Density Functional Theory Study:The calculation of Spin Density and Atomic Charge of LaMnO3

碩士 === 國立臺灣大學 === 物理研究所 === 94 === The spin and charge densities of ABO3(A=La,B=Mn) with a cubic unit cell has been studied using periodic boundary condition and localized basis sets. The calculation method performed through this work is density functional theory (DFT) with the functional BLYP. We...

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Main Authors: Wei-Lin Pan, 潘煒琳
Other Authors: Cheng-Hsuan Chen
Format: Others
Language:zh-TW
Published: 2006
Online Access:http://ndltd.ncl.edu.tw/handle/58486307550956553687
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spelling ndltd-TW-094NTU051980402015-12-16T04:38:21Z http://ndltd.ncl.edu.tw/handle/58486307550956553687 Localized Basis Set Density Functional Theory Study:The calculation of Spin Density and Atomic Charge of LaMnO3 局域基底函數之泛函密度理論研究:LaMnO3之自旋密度及原子電荷計算 Wei-Lin Pan 潘煒琳 碩士 國立臺灣大學 物理研究所 94 The spin and charge densities of ABO3(A=La,B=Mn) with a cubic unit cell has been studied using periodic boundary condition and localized basis sets. The calculation method performed through this work is density functional theory (DFT) with the functional BLYP. We have discussed the changes of spin density and atomic charge on B-site (Mn) as the crystal parameters are individually expanded or compressed from 0.02% to 0.2%(and, from 0.5%~5.5%). In the calculations of both single-unit-cell and double-unit-cells (combined by two neighboring single unit cell) cases, there exhibits the highly dependence between the electron spin density and crystal parameter while the changes of electron spin density and atomic charge become smaller as the dimension of expansion (compression) decreases. The spin density of Mn in double-unit-cell case exhibits almost complete inversion (from +4 to -4) at each 0.02% expansion or compression of crystal parameter and it takes nearly twice times of percentage in the same dimension to reach the spin-inversed result in the single-unit-cell one. Finally, the calculation results also show that the atomic charge is almost independent of the change of the crystal parameter. Cheng-Hsuan Chen 陳正弦 2006 學位論文 ; thesis 84 zh-TW
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description 碩士 === 國立臺灣大學 === 物理研究所 === 94 === The spin and charge densities of ABO3(A=La,B=Mn) with a cubic unit cell has been studied using periodic boundary condition and localized basis sets. The calculation method performed through this work is density functional theory (DFT) with the functional BLYP. We have discussed the changes of spin density and atomic charge on B-site (Mn) as the crystal parameters are individually expanded or compressed from 0.02% to 0.2%(and, from 0.5%~5.5%). In the calculations of both single-unit-cell and double-unit-cells (combined by two neighboring single unit cell) cases, there exhibits the highly dependence between the electron spin density and crystal parameter while the changes of electron spin density and atomic charge become smaller as the dimension of expansion (compression) decreases. The spin density of Mn in double-unit-cell case exhibits almost complete inversion (from +4 to -4) at each 0.02% expansion or compression of crystal parameter and it takes nearly twice times of percentage in the same dimension to reach the spin-inversed result in the single-unit-cell one. Finally, the calculation results also show that the atomic charge is almost independent of the change of the crystal parameter.
author2 Cheng-Hsuan Chen
author_facet Cheng-Hsuan Chen
Wei-Lin Pan
潘煒琳
author Wei-Lin Pan
潘煒琳
spellingShingle Wei-Lin Pan
潘煒琳
Localized Basis Set Density Functional Theory Study:The calculation of Spin Density and Atomic Charge of LaMnO3
author_sort Wei-Lin Pan
title Localized Basis Set Density Functional Theory Study:The calculation of Spin Density and Atomic Charge of LaMnO3
title_short Localized Basis Set Density Functional Theory Study:The calculation of Spin Density and Atomic Charge of LaMnO3
title_full Localized Basis Set Density Functional Theory Study:The calculation of Spin Density and Atomic Charge of LaMnO3
title_fullStr Localized Basis Set Density Functional Theory Study:The calculation of Spin Density and Atomic Charge of LaMnO3
title_full_unstemmed Localized Basis Set Density Functional Theory Study:The calculation of Spin Density and Atomic Charge of LaMnO3
title_sort localized basis set density functional theory study:the calculation of spin density and atomic charge of lamno3
publishDate 2006
url http://ndltd.ncl.edu.tw/handle/58486307550956553687
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