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請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/67416
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor周美吟(Mei-Yin Chou)
dc.contributor.authorTee Wei Shenen
dc.contributor.author鄭偉勝zh_TW
dc.date.accessioned2021-06-17T01:31:20Z-
dc.date.available2022-09-01
dc.date.copyright2020-09-16
dc.date.issued2020
dc.date.submitted2020-08-19
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dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/67416-
dc.description.abstract能源議題是人類社會面對的一個重大課題,而現今的能源大部分取得自燃燒化石燃料,其中又有約 80% 的能量會以廢氣伴隨著廢熱的形式排到環境。熱電材料是一個能夠將熱能轉成電能的材料,有望收集那些原本不可回收的廢熱,所以被廣泛研究。
本論文利用第一原理研究碲化鍺 (GeTe) 這個熱電材料的晶格結構與電子結構。我們會著重於探討立方 (cubic) 碲化鍺,並以菱形 (rhombohedral) 碲化鍺為輔助,敘述碲化鍺的物理性質。我們會討論鍺空缺 (Ge vacancy),銻取代 (Sb Substitution),和鎢取代 (W Substitution) 對碲化鍺的影響。
zh_TW
dc.description.abstractThe energy issue is a big topic in the human society. Most of our energy comes from fossil fuels. We burn those fossil fuels to support all kinds of human activities. However, around 80% of industrial waste heat is released as heated gas. Thermoelectric materials, believed to be the solution to energy issue, are solid-state energy converters converting waste heat into electrical power.
We use first-principles calculations to investigate the crystal structure and band structure of GeTe, which is a thermoelectric material. The cubic phase of GeTe will be mainly focused, while the rhombohedral phase is presented as a reference. We consider the cases with Ge vacancies, Sb substitution, and W substitution located on the Ge-sublattice. Then we will provide a theoretical analysis on how they affect the GeTe properties.
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en
dc.description.tableofcontents致謝 i
摘要 iii
Abstract v
Contents vii
List of Figures xi
List of Tables xvii
Chapter 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.1 First-principles calculations . . . . . . . . . . . . . . . . . . . . . 1
1.2 Thermoelectric materials . . . . . . . . . . . . . . . . . . . . . . . 2
1.3 GeTe based material . . . . . . . . . . . . . . . . . . . . . . . . . . 3
Chapter 2 Theoretical Background . . . . . . . . . . . . . . . . . . . . . 5
2.1 Density Functional Theory . . . . . . . . . . . . . . . . . . . . . . . 5
2.2 Transport properties . . . . . . . . . . . . . . . . . . . . . . . .. . 7
2.2.1 Macroscopic view . . . . . . . . . . . . . . . . . . . . . . . . . .. 7
2.2.2 Microscopic view . . . . . . . . . . . . . . . . . . . . . . . . .. . 9
2.3 Phonon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
2.4 Band unfolding . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
2.5 Bader Charge Analysis . . . . . . . . . . . . . . . . . . . . . . . . . 19
2.6 Computational Details . . . . . . . . . . . . . . . . . . . . . . . . . 20
Chapter 3 Theoretical analysis of GST . . . . . . . . . . . . . . . . . . . 23
3.1 Structure of GeTe . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
3.2 Phase stability . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
3.3 Energetics and phonon analysis of GeTe . . . . . . . . . . . . . . . . 28
3.4 Atomic relaxations around a single VGe or SSb in c-GeTe . . . . . . . 35
3.5 Atomic relaxations around a single VGe or SSb in r-GeTe . . . . . . . 40
3.6 Atomic configuration of coexisting VGe and SSb in GeTe . . . . . . . 43
3.6.1 Lattice distortion and energetics of VGe + SSb pair . . . . . . . . . 43
3.6.2 Superposition of VGe and SSb in GeTe . . . . . . . . . . . . . . . . 45
3.7 Atomic configuration of two VGe’s in GeTe . . . . . . . . . . . . . . 49
3.8 Energetics of defect formation . . . . . . . . . . . . . . . . . . . . 50
3.9 Bader charge analysis of GeTe . . . . . . . . . . . . . . . . . . . . . 57
3.10 Band structure and density of states of GeTe . . . . . . . . . . . . . 59
3.10.1 Pristine c-GeTe . . . . . . . . . . . . . . . . . . . . . . . . . . 59
3.10.2 Band structure with defects . . . . . . . . . . . . . . . . . . . . 60
3.10.3 Quantitative measure of band rigidity . . . . . . . . . . . . . .. . 65
3.11 Fermi level versus the effective number of holes . . . . . . . . . . . 71
3.12 Seebeck Coefficients . . . . . . . . . . . . . . . . . . . . . . . . . 75
3.13 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
Chapter 4 Theoretical Analysis of W-doped GeTe . . . . . . . . . . . . . . 79
4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
4.2 Structural relaxation of single SW in c- and r-GeTe . . . . . . . . . . 79
4.3 Energetic of SW formation . . . . . . . . . . . . . . . . . . . . . . . 83
4.4 Band structure and DOS of Ge1−xWxTe . . . . . . . . . . . . . . . . 87
4.5 Charge distribution . . . . . . . . . . . . . . . . . . . . . . . . . . 93
4.6 Magnetic moment of Ge1−xWxTe . . . . . . . . . . . . . . . . . . . 96
4.7 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99
dc.language.isoen
dc.subject第一原理zh_TW
dc.subject碲化鍺zh_TW
dc.subject剛性能帶結構zh_TW
dc.subject熱電材料zh_TW
dc.subject聲子zh_TW
dc.subject能帶展開zh_TW
dc.subject波茲曼傳輸理論zh_TW
dc.subjectthermoelectricsen
dc.subjectfirst-principlesen
dc.subjectBoltzmann tranport theoryen
dc.subjectband unfoldingen
dc.subjectphononen
dc.subjectrigid band modelen
dc.subjectGeTeen
dc.title碲化鍺化合物添加雜質之第一原理研究zh_TW
dc.titleFirst-Principles Study of GeTe with Defectsen
dc.typeThesis
dc.date.schoolyear108-2
dc.description.degree碩士
dc.contributor.oralexamcommittee魏金明(Ching-Ming Wei),陳貴賢(Kuei-Hsien Chen)
dc.subject.keyword第一原理,熱電材料,碲化鍺,剛性能帶結構,聲子,能帶展開,波茲曼傳輸理論,zh_TW
dc.subject.keywordfirst-principles,thermoelectrics,GeTe,rigid band model,phonon,band unfolding,Boltzmann tranport theory,en
dc.relation.page111
dc.identifier.doi10.6342/NTU202003546
dc.rights.note有償授權
dc.date.accepted2020-08-20
dc.contributor.author-college理學院zh_TW
dc.contributor.author-dept物理學研究所zh_TW
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