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研究生: 王紹芸
Wang, Shao-yun
論文名稱: 核磁共振技術量測CaAl2-xSi2+x之電子結構
NMR probe of electronic structures in CaAl2-xSi2+x
指導教授: 呂欽山
Lue, Chin-shan
學位類別: 碩士
Master
系所名稱: 理學院 - 物理學系
Department of Physics
論文出版年: 2007
畢業學年度: 95
語文別: 中文
論文頁數: 39
中文關鍵詞: 半金屬
外文關鍵詞: semimetallic
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  • Ca-Al-Si三元素可組成兩種不同的混合物CaAlSi和CaAl2Si2,皆具有層狀結構。MgB2是著名的高溫超導,超導溫度39K,CaAlSi和MgB2具有相同結構,同樣具有超導溫度7.8K,所以引起注意。而另一個由Ca-Al-Si三元素組成的化合物為CaAl2Si2,失去超導性質,呈現出半金屬特性。能帶結構計算CaAl2Si2也顯示出在費米面附近出現贗位能。我們藉著NMR的量測,分析隨著不同程度CaAl2-xSi2+x的摻雜,在贗位能上的電子態密度會如何改變。藉著奈特位移(Knight Shift K)和自旋晶格鬆弛時間(spin-lattice relaxation time T1)在77K~300K間的量測結果,我們推得費米面上有能隙的分裂,和理論能帶計算的結果相符。

    The ternary Ca-Al-Si systems have two kinds of compound with characteristic layered structure. CaAlSi is a superconductor with transition temperature (Tc) of about 7.8K which is isostructural to MgB2 of high Tc about 39K. The other kind of Ca-Al-Si compound is CaAl2Si2, which shows no superconducting behavior but semimetallic characteristics. Band structure calculation on CaAl2Si2 also resolved a pseudogap in the vicinity of Fermi-level. In this study we examine the electronic states in the pseudogap region of CaAl2-xSi2+x by means of the nuclear magnetic resonance (NMR) spectroscopy. The quadrupole splitting, Knight Shift, and spin-lattice relaxation time ( T1 ) for CaAl2-xSi2+x have been measured between 77K and 300K. We connect these observations to the energy splitting near the Fermi energy, and compare the band-filling behavior to a recent band-structure calculation.

    摘要………………………………………………………Ⅰ Abstract…………………………………………………Ⅱ 致謝………………………………………………………Ⅲ 目錄………………………………………………………Ⅳ 表目錄……………………………………………………Ⅵ 圖目錄……………………………………………………Ⅶ 第一章 前言………………………………………………1 第二章 核磁共振基本原理………………………………3 2-1 黎曼效應…………………………………3 2-2 核自旋運動………………………………4 2-3 電子躍遷機率……………………………6 2-4 線形………………………………………7 2-5 奈特位移…………………………………9 2-6 四重極效應………………………………11 2-7 自旋晶格鬆弛時間………………………12 第三章 樣品製備…………………………………………16 3-1 電弧爐……………………………………16 3-2 x-ray量測…………………………………17 第四章 實驗儀器…………………………………………18 4-1 核磁共振儀………………………………18 4-2 NMR量測方法………………………………21 4-2.1 Spin-Echo…………………………21 4-2.2 反轉恢復法…………………………22 第五章 實驗結果與討論…………………………………24 5-1 x-ray結果…………………………………24 5-2 線形………………………………………25 5-3 奈特位移…………………………………29 5-4 自旋晶格鬆弛率…………………………30 第六章 結論………………………………………………38 引用文獻……………………………………………………39

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