本論文利用X-ray繞射與拉曼散射光譜的實驗，研究經不同退火後的二氧化鈦奈米管的結構特性。以純銳鈦礦相之樣品作為比較，發現經快速熱退火900oC的處理後，發現拉曼散射與XRD的半高寬比熱退火後的樣品還要窄，利用空間相關模型擬合拉曼峰值，發現最好的相關長度為為18.9nm。
分析不同溫度的拉曼散射光譜，隨溫度最低頻率拉曼Eg模式的峰值會藍移且半高寬會變寬，借由熱膨脹與Klemens模型擬合峰值位移，發現最低頻Eg模式聲子的能量衰減成兩個對稱的聲子，其頻率為67.5cm-1的聲學聲子。

In this article, We investigated the effect of annealing on the structural properties of titanium dioxide nanotubes by X-ray diffraction（XRD）and Raman scattering. We compared the anatase phase with different samples. After treating RTA at 900oC, we found narrower full width at half maximum (FWHM) by Raman scattering and XRD. By fitting Raman lineshape with spatial correlation model, and the best correlation length of TiO2 after RTA is 18.9nm.
From analyzing temperature-dependent Raman scattering of TiO2 nanotubes, peak position blueshifts and FWHM broadens with temperature. We analyzed Raman peak position with Klemens model and associated with thermal expansion. It was found the energy of the lowest frequency Raman Eg mode decays into two symmetric acustic phonons with frequency 67.5cm-1

摘要------------------------------------------------------------------------------------------I
Abstract-------------------------------------------------------------------------------------II
致謝----------------------------------------------------------------------------------------III
目錄----------------------------------------------------------------------------------------V
圖表目錄---------------------------------------------------------------------------------VII
第一章 緒論------------------------------------------------------------------------------1
第二章 樣品介紹------------------------------------------------------------------------7
2-1二氧化鈦奈米管的形成機制--------------------------------------------7
2-2二氧化鈦奈米管製備------------------------------------------------------9
2-3二氧化鈦奈米管的退火處理--------------------------------------------11
第三章 量測系統與實驗原理--------------------------------------------------------12
3-1 拉曼光譜系統原理-------------------------------------------------------12
3-2 X光繞射儀---------------------------------------------------------------16
3-3快速熱退火系統----------------------------------------------------------17
3-4 熱退火系統----------------------------------------------------------------17
第四章 結果與討論--------------------------------------------------------------------18
4-1比較不同退火效應對二氧化鈦奈米管的結構影--------------------18
4-2二氧化鈦奈米管的變溫拉曼實驗--------------------------------------28
第五章 結論-----------------------------------------------------------------------------37
參考文獻----------------------------------------------------------------------------------38

圖1.1 銳鈦礦相與金紅石相的晶體結構與堆疊方式-----------------------------2
圖1.2 二氧化鈦相圖--------------------------------------------------------------------3
圖1.3 模版製造法的流程圖-----------------------------------------------------------6
圖2.1 定電壓下陽極氧化二氧化鈦奈米管演化示意圖--------------------------8
圖2.2 二氧化鈦奈米管製備流程圖-----------------------------------------------10
圖2.3 二氧化鈦奈米管的SEM圖------------------------------------------------10
圖3.1雷利散射與拉曼散射示意圖------------------------------------------------13
圖3.2 矽的Rayleigh、anti-Stokes與Stokes拉曼光譜-----------------------14
圖3.3 一般拉曼散射與共振拉曼散射光譜能階---------------------------------15
圖3.4 拉曼散射實驗架設圖---------------------------------------------------------15
圖3.5 快速熱退火系統---------------------------------------------------------------17
圖4.1二氧化鈦奈米管X-ray晶格繞射---------------------------------------19
圖4.2銳鈦礦相2=25.3°X-ray繞射峰值半高寬------------------------------20
圖4.3不同退火處理的二氧化鈦奈米管最低頻繁拉曼Eg模式光譜圖---22
圖4.4 最低頻率Eg拉曼模式空間相關模型的擬合圖------------------------24
圖4.5 由空間相關模型擬合的相關長度結果----------------------------------25
圖4.6 最低頻率之拉曼Eg模式的拉曼位移與峰值半高寬---------------27
圖4.7 熱退火500℃二氧化鈦奈米管的變溫拉曼光譜圖---------------------29
圖4.8 最低頻率之拉曼Eg模式的變溫拉曼光譜圖---------------------------29
圖 4.9 最低頻率之拉曼Eg模式的峰值位移與峰值半高寬的數據-----------30
圖4.10 最低頻率拉曼Eg模式峰值位移之擬合圖-----------------------------33
圖4.11 隨溫度變化的最低頻率拉曼Eg模式之半高寬與聲子生命期的 擬合圖-----------------------------------------------------------------------36
表4.1 由空間相關模型擬合拉曼Eg模式所得到的相關長度------------25
表4.2 為公式【4.8】擬合參數之數據--------------------------------------------32
表4.3 擬合最低頻率Eg模式之聲子半高寬的參數--------------------------35

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