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研究生: 梁智超
Liang, Chih–Chao
論文名稱: (1-x)Mg4Nb2O9-xATiO3 (A=Sr、Ca) 微波介電材料之研究與應用
Research and Application of (1-x)Mg4Nb2O9-xATiO3 (A=Sr、Ca) Microwave Dielectric Material
指導教授: 黃正亮
Huang, Cheng-Liang
學位類別: 碩士
Master
系所名稱: 電機資訊學院 - 電機工程學系
Department of Electrical Engineering
論文出版年: 2008
畢業學年度: 96
語文別: 中文
論文頁數: 120
中文關鍵詞: 陶瓷微波
外文關鍵詞: Microwave, ceramic
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  • 本論文將討論介電陶瓷材料系統(1-x)Mg4Nb2O9-xATiO3 (A=Sr、Ca),藉由正負共振頻率溫度係數的互補,使其達到平衡。Mg4Nb2O9的微波特性為εr~12.9, Q × f ~210000GHz以及τ約-70.4 ppm/℃;SrTiO3為εr~205、Q × f ~4200GHz以及τ約+1700 ppm/℃、CaTiO3為εr~170、Q×f~3600GHz以及τ約+800 ppm/℃,調整x值使其頻率溫度飄移係數趨近於零。在0.6Mg4Nb2O9-0.4SrTiO3材料裡,可在1300oC時燒結且具有最佳介電特性;介電常數εr為21.2,品質因素Q×f~112000GHz(9.7GHz),共振頻率溫度係數τ為+1.6ppm/oC。在0.5Mg4Nb2O9-0.5CaTiO3材料裡,可在1275oC時燒結且具有最佳介電特性;介電常數εr為24.8,品質因素Q×f為82000GHz(9GHz),共振頻率溫度係數τ為-0.3ppm/oC。由於添加0.5wt%B2O3於0.6Mg4Nb2O9-0.4SrTiO3材料裡,即可在1200oC時燒結且具有最佳介電特性;介電常數εr為20.53,品質因素Q×f為96000GHz(9.9GHz),共振頻率溫度係數τ為+2.3ppm/oC。
    最後,本論文以FR4、氧化鋁、自製基板0.6Mg4Nb2O9-0.4SrTiO3+0.5wt%B2O3,設計一中心頻率定為2GHz的帶通濾波器,再利用電腦模擬與實做量測結果比較。

    The microstructures and microwave dielectric properties of the (1-x)Mg4Nb2O9-xATiO3 (A=Sr、Ca) ceramic system were investigated in this paper. To achieve a temperature-stable material, we studied a method of combing a positive-temperature-coefficient material with a negative one. Mg4Nb2O9 has the following dielectric properties : a dielectric constant of εr~12.9, a Q×f value ~ 210000GHz and a negative τ~ -70.4 ppm/℃. SrTiO3 possesses a dielectric constant of εr~205, a Q × f value ~4200GHz and a positive τ~ +1700ppm/℃.
    CaTiO3 possesses a dielectric constant of εr~170, a Q × f value ~3600GHz and a positive τ~ +800ppm/℃.By appropriately adjusting x value in the (1-x)Mg4Nb2O9-xATiO3 (A=Sr、Ca) ceramic system, a zero value can be obtained. With x=0.4 and A=Sr, a dielectric constant
    εr~21.2, a Q×f value ~ 112000GHz(at 9.7GHz) and a τ~ +1.6 ppm/℃ were obtained for 0.6Mg4Nb2O9-0.4SrTiO3 ceramics sintered at 1300℃ for 4h. With x=0.5 and A=Ca, a dielectric constant εr~24.8, a Q×f value ~ 82000GHz(at 9GHz) and a τ~ -0.3 ppm/℃ were obtained for 0.5Mg4Nb2O9-0.5CaTiO3 ceramics sintered at 1275℃ for 4h. It is found that 0.6Mg4Nb2O9-0.4SrTiO3 ceramics can be sintered at 1200℃ due to the liquid phase effect of B2O3 additions. At 1200℃, 0.6Mg4Nb2O9-0.4SrTiO3 ceramics with 0.5wt% B2O3 addition possesses a dielectric constant εr~20.53, a Q×f value ~ 96000GHz(at 9.9GHz) and a τ~ +2.3 ppm/℃.
    Finally, we design and fabricate a band-pass filters with 2GHz center frequency on FR4、Al2O3、0.6Mg4Nb2O9-0.4SrTiO3+ 0.5wt%B2O3 substrate respectively. And we compared with the result of the simulation and measurement.

    第一章 緒論..............................................1 1-1 前言..................................................1 1-2 研究目的..............................................1 第二章 介電材料原理......................................3 2-1 微波介電材料的特性....................................3 2-2 介電共振器 (Dielectric Resonator, DR).................8 2-3 介電共振器理論 .......................................11 2-4 燒結原理.............................................12 2-5 液相燒結理論.........................................13 2-6 Corundum結構.........................................14 2-7 鈣鈦礦之結構.........................................16 第三章 微帶線及濾波器之原理.............................17 3-1 微帶線原理...........................................17 3-1-1 微帶傳輸線介紹.....................................17 3-1-2 微帶線傳輸組態.....................................17 3-1-3 微帶線各項參數公式計算及考量.......................18 3-2 微帶線濾波器簡介.....................................24 3-3 耦合共振器...........................................27 3-4 共振器耦合型態 .......................................27 3-4-1 耦合係數k的定義....................................27 3-4-2 諧振器間的耦合型態.................................28 3-5 諧振器間耦合量.......................................37 3-6 影響耦合係數之相關設計參數...........................38 3-7 利用磁場耦合結構設計帶通濾波器.......................45 第四章 實驗程序與量測方法...............................50 4-1 微波介電材料的製備...................................50 4-2 微波介電材料的特性分析與量測.........................53 4-2-1 X-Ray分析(XRD)...................................53 4-2-2 掃瞄式電子顯微鏡(SEM)分析........................53 4-2-3 密度之量測.........................................53 4-2-4 微波特性的量測.....................................54 4-3 濾波器之製作與量測...................................60 4-3-1 濾波器規格.........................................60 4-3-2 濾波器製作.........................................60 4-3-3 濾波器量測.........................................61 第五章 實驗結果與討論...................................62 5-1 (1-x)Mg4Nb2O9-xSrTiO3微波特性之探討..................62 5-2 (1-x)Mg4Nb2O9-xCaTiO3微波特性之探討..................72 5-3 0.6Mg4Nb2O9-0.4SrTiO3添加B2O3微波特性之探討..........84 5-4 濾波器的響應.........................................92 5-4-1 FR4基板............................................93 5-4-2 Al2O3基板..........................................95 5-4-3 0.6Mg4Nb2O9-0.4SrTiO3+0.5wt%基板..................98 5-5 不同基板的濾波器特性比較............................101 第六章 結論............................................102 參考文獻................................................103

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