中文摘要：

研究了铜的二维电解沉淀物在限制条件下的分形维数，拍摄了铜沉淀物随时间变化的照片，使用盒维法分析了各种条件下的豪斯多夫分形维数，并建立了计算机评估模型，以证明电压对豪斯多夫维数的重要影响．根据照片显示沉淀物的欧几里德几何形状也有着规则的变化。

英文摘要：

Fractal dimensions of two-dimensional electro-deposited Cu under limited conditions are investigated through a series of controlled experiments. In the experiment, time-related photos of the Cu deposit patterns are taken. To quantify the change in relation with the voltage, Hausdorff dimensions in each condition are analyzed with a box-counting method. A model is also established with computer evaluation which proofs that the voltage plays an important role in determining the Hausdorff dimension. Moreover, the general Euclidian geometric shapes of the deposit vary in a regular way according to the photos.