本研究以懸掛氣泡之有限元素模型(pendant bubble finite element model )和傳統球狀氣泡模型(classical spherical model)，模擬CmEn界劑在不同擴散係數下的吸附行為，並求得動態張力曲線和其真實吸附實驗的動態張力曲線做最適化比對，找出最適化擴散係數。定義擴散係數偏差比率，比較和探討兩種模型最適化擴散係數之間的差異。再以懸掛氣泡之有限元素模型所獲得的擴散係數，進一步探討次界面濃度隨氣-液界面之弧長的變化情形與溶液本體相(bulk phase)的濃度分佈。
球狀氣泡模式在沒有考慮針頭和氣泡形狀的影響下， CmEn界劑的最適化擴散係數都比掛氣泡之有限元素模型來的小，表示傳統球狀氣泡模型會低估其真實擴散係數。而考慮到形狀效應和針頭效應的懸掛氣泡之有限元素模型，所得到的最適化擴散係數則較接近真實的擴散係數。

My study used pendant bubble finite element model and classical spherical model for CmEn surfactants of adsorption behavior to obtain the optimal diffusion coefficient with experiment data from the optimal fit of dynamic surface tension profile。Defined the relative diffusion coefficient difference to compare and discuss between pendant bubble finite element model and classical spherical model difference。And used the optimal diffusion coefficient of the pendant bubble finite element model to discuss further that sublayer concentration changed with arc length of interface and the bulk phase concentration profile 。
Classical spherical model has not consider the influence of needle and bubble shape，the optimal diffusion coefficient of CmEn surfactants is smaller than the optimal diffusion corfficient
of pendant bubble finite element model ，this result showed that classical spherical model underestimated the real diffusion coefficient。

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