在本篇論文中，我們使用重心版模組來開發四面體等校電路模型，此模組能以任意四面體當基本元素，模擬三維的半導體元件；我們主要為開發電場的方法，在三維平面法的開發中，我們克服了以往二維提升至三維所遭遇的維度問題，並且另外開發了軸線法的程式，利用兩種方法做簡單電場驗證且求得我們核心方程式所需之參數，接著驗證電子流、電洞流密度，最後將四面體組成單顆立方體電阻及複數顆電阻做驗證，證實四面體網格之可靠性。

In this thesis, we use barycenter module to develop equivalent circuit model of tetrahedron. This module can be applied to any tetrahedron mesh elements to simulate 3D semiconductor devices. We develop two methods for the internal electric field in each tetrahedron. The two methods include the plane method and the axis method. We solved the difficult problems to use the plane method in 3D application. Additionally, we developed the axis method. The two methods are used for the verification of the electric field, the electron current density, and the hole current density. Finally, we verify the two methods by a 3D resistor which is composed of many tetrahedrons.

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