# 表面电荷

## 表面电荷密度

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

### 导体

${\displaystyle \sigma =E\epsilon _{0}}$

## 界面电势

### 古依-恰普曼模型

${\displaystyle C=C_{0}e^{-({\frac {\psi ze}{kT}})}}$

${\displaystyle C_{o}}$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

${\displaystyle \sigma ={\sqrt {8C_{0}\epsilon \epsilon _{0}k_{B}T}}\sinh \left({\frac {ze\psi _{0}}{2k_{B}T}}\right)}$

${\displaystyle \sigma ={\frac {\epsilon \epsilon _{0}\psi _{0}}{\lambda _{D}}}}$

## 参考文献

1. Hans-Jurgen, Butt; Graf, Karlheinz; Kappl, Michael. Physics and chemistry of interfaces. Germany: Wiley-VCH. 2006: 45, 55, 56, 76–82. ISBN 978-3-527-40629-6.
2. ^ Weisstein, 缺少或|title=为空 (帮助)
3. ^ Nave, Carl R. Gaussian surfaces. Georgia State University. 2010 [27 April 2011].
4. Marek Kosmulski, "Chemical properties of material surfaces", Marcel Dekker, 2001. Retrieved 30 May 2011
5. Lewis, JA (2000). 'Colloidal processing of ceramics', Journal of the American Ceramic Society vol. 83, no. 10, pp.2341-2359. Retrieved 30 May 2011
6. ^ Jolivet J.P., Metal oxide chemistry and synthesis. From solution to solid state, John Wiley & Sons Ltd. 2000,ISBN 0-471-97056-5 (English translation of the original French text, De la solution à l'oxyde, InterEditions et CNRS Editions, Paris, 1994). Retrieved 30 May 2011
7. ^ Kosmulski M and Saneluta C (2004). 'Point of zero charge/isoelectric point of exotic oxides: Tl2O3', Journal of Colloid and Interface Science vol. 280, no. 2, pp. 544-545. Retrieved 30 May 2011
8. ^ Origins of surface charge. Silver Colloids. 2010 [27 April 2011].
9. ^ The electric double layer. Silver Colloids. 2010 [27 April 2011].
10. ^ The electrical double layer. 2011 [27 April 2011]. （原始内容存档于2011年5月31日）.
11. ^ Ehrenstein, Gerald. Surface charge (PDF). 200 [30 May 2011]. （原始内容 (PDF)存档于2011年9月28日）.
12. ^ SMIRNOV, Gerald. Double bilayer. 2011 [30 May 2011].
13. ^ Zeta potential measurement. Brookhaven Instruments Ltd. 2007 [16 Apr 2011].[永久失效連結]
14. ^ Hubbe, Martin. Flocculation of colloids or of fiber slurries. North Carolina State University. 2007 [16 Apr 2011].
15. ^ Chapter 4: Electrophoresis - Introduction. Dr. William H. Heidcamp, Biology Department, Gustavus Adolphus College. 1995 [30 May 2011]. （原始内容存档于2013-09-02）.
16. ^ Escobar, Laura; Root, Michael J.; MacKinnon, Robert. Influence of protein surface charge on the bimolecular kinetics of a potassium channel peptide inhibitor. Biochemistry. July 1993, 32 (27): 6982–6987 [16 April 2011]. PMID 7687466. doi:10.1021/bi00078a024. http://pubs.acs.org/doi/pdf/10.1021/bi00078a024