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    Title: 離子尺寸對不同幾何形狀逆微胞結構中電場及離子分佈之影響
    Other Titles: Effects of Ionic Size on the Electric Field and Ionic Distribution in Various Types Reverse Micelle Structures
    Authors: 曾琇瑱
    Contributors: 淡江大學數學學系
    Keywords: 離子尺寸效應;逆微胞結構;離子分佈;界面活性劑層;修飾之波松-波茲曼方程式
    Date: 2004
    Issue Date: 2009-03-16 13:00:28 (UTC+8)
    Abstract: 本計畫擬由理論的角度探討逆微胞中之電場及離子的空間分佈行為。在傳統的分析中, 一般假設離子為點電荷而忽略其體積,計畫中將特別討論離子尺寸效應的影響。吾人將考慮 圓柱、平行平板、與球形等三類的逆微胞,這些幾何形狀基本上涵蓋了在應用層面上所觀察 到的逆微胞。所考慮的逆微胞,內部為電解質水溶液,外部為一界面活性劑層。分析之重點 在於推導考慮離子尺寸之波松-波茲曼方程式的近似解析解,以無窮級數的方式呈現。另外, 亦將以數值模擬的方式描述系統主要參數,如離子尺寸、逆微胞形狀及尺寸、及界面活性劑 等對於離子分佈的影響。
    Appears in Collections:[Graduate Institute & Department of Mathematics] Research Paper

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