# 表面电荷

## 表面电荷密度

$\sigma=\frac{q}{A}$

### 导体

$\sigma=E\epsilon_0$

## 界面电势

### 古依-恰普曼模型

$C=C_0e^{-(\frac{\psi ze}{kT})}$

$C_o$为反离子在电势为零处的浓度， z 为离子的离子价， e 为一个质子的电量， k 为 波耳兹曼常数， ψ 为表面附近溶液中的电势分布。

### 表面电荷与表面电势

$\sigma=\sqrt{8C_0\epsilon\epsilon_0k_BT}\sinh\left(\frac{ze\psi_0}{2k_BT}\right)$

$\sigma=\frac{\epsilon\epsilon_0\psi_0}{\lambda_D}$

## 参考文献

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