臺灣博碩士論文加值系統

高分子運動學的研究已經有很長的歷史，在自然環境中可以觀察到生物大分子的擴散行為，很多交互運動仍在研究中，例如DNA在細胞膜上的擴散係數與覆蓋率的關係呈一Λ型線，擴散係數隨覆蓋率上升的原因尚未被了解。我們的震動台和珠鏈實驗則可以藉由碰撞行為和已有的高分子動力學模型來說明這些現象。我們選擇垂直震動中的珠鏈來模擬分子鏈的運動，來探討珠鏈的質心在二維表面上，水平投影的運動特性，再藉由質心的位移來討論在不同鏈長、不同表面覆蓋率，以及不同表面材質下的運動行為。從改變表面材質的實驗，得到擴散係數與鏈長的指數率呈現不同的數值。我們發現震動中的珠鏈質心運動確實具有隨機行走的行為，也已經成功的重現高分子在膜表面的Λ型數據線。我們觀察到在表面覆蓋率0.08以下的區域，珠鏈之間相互碰撞使得珠鏈被瞬間加速的機會提高，增加表面覆蓋率會使得擴散係數明顯上升。擴散係數在覆蓋率0.08時達到最大值，而覆蓋率越高時，擴散係數的變化卻完全相反，過了最大值之後快速下降而後趨緩，在鋁板上得到擴散係數與鏈長有〖D∝N〗^(-１)的關係。在粗砂紙表面觀察到擴散係數變小，指數也是-1。在海綿上除了看到擴散係數變小之外，指數變為-0.76。在”non-slip”的表面觀察到指數率變為-1.51，並且完全看不到Λ型的趨勢，我們相信”non-slip” 的表面性質造成每一次碰撞後細微的位移變化就足以導致此現象消失。

摘要 2
第一章 簡介 5
第二章 計畫與目標 11
第三章
3-1實驗儀器系統與技術 12
3-2 實驗裝置設定
3-2-1 震動台系統 13
3-2-2 攝影機 13
3-2-3 震動台的垂直加速度控制 14
3-2-4 實驗的設定參數 14
3-2-5 降低實驗誤差的設定參數 15
3-3數據分析流程
3-3-1 使用攝影機取得數據 16
3-3-2 不同亮度的分辨 17
3-3-3 質心水平投影位置的標定 17
3-3-4 水平投影軌跡 17
3-3-5 不同時間間隔的平方位移 18
3-3-6 取得平均平方位移與時間的關係圖 20
第四章 結果與討論
4-1 擴散係數與表面覆蓋率的關係
4-1-1 平均平方位移與表面覆蓋率的關係 21
4-1-2 擴散係數與表面覆蓋率的關係 25
4-2 擴散係數與珠鏈長度的關係
4-2-1 平均平方位移與珠鏈長度的關係 29
4-2-2 擴散係數與珠鏈長度的關係 30
4-3 擴散係數與振動幅度的關係 32
4-4 擴散係數與表面材質的關係
4-4-1　粗砂紙 32
4-4-2　海綿 34
4-4-3　“non-slip”止滑墊 37
第五章 結論 42
參考文獻 44

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