# List of Equations

The equations below are formatted with MathML. They are rendered in MathJax so should work across all browsers, mobile phones etc.

### Copying an equation.

• Right click on the equation
• From the popup menu chose: Show Math As, MathML Code.
• A new window will open. Select and copy the MathML code.

### To convert to other formats such as GIF

Paste the mathml code into http://www.mathmlcentral.com/Tools/FromMathML.jsp

### Paste into Microsoft word

In most word versions a shortcut is to right-click within the word document and select "Keep Text Only (T)"

• Insert, equation
• Paste the MathML code
• It should magically turn into a word equation that you can also edit
• If you still see MathML code, click on the drop down menu in word and change it to "Keep Text Only (T)"

$I={I}_{L}-{I}_{0}\left[\mathrm{exp}\left(\frac{qV}{nkT}\right)-1\right]$

$I={I}_{L}-{I}_{0}\left[\mathrm{exp}\left(\frac{qV}{nkT}\right)\right]$

${V}_{OC}=\frac{kT}{q}\mathrm{ln}\left[\frac{\left({N}_{A}+\Delta n\right)\Delta n}{{n}_{i}^{2}}\right]$

${I}_{D}=1.353×{0.7}^{\left(A{M}^{0.678}\right)}$

$Pb+S{{O}_{4}}^{2-}\underset{charge}{\overset{discharge}{⇔}}PbS{O}_{4}+2{e}^{-}$

$Pb{O}_{2}+Pb+2{H}_{2}S{O}_{4}\underset{charge}{\overset{discharge}{⇔}}2PbS{O}_{4}+2{H}_{2}O$

$Pb{O}_{2}+S{{O}_{4}}^{2-}+4{H}^{+}+2{e}^{-}\underset{charge}{\overset{discharge}{⇔}}PbS{O}_{4}+2{H}_{2}O$

$Li\to L{i}^{+}+{e}^{-}$

$L{i}^{+}+{e}^{-}\to Li$

$E={E}^{0}-\frac{RT}{nF}×\mathrm{ln}\left(Q\right)$

${n}_{0}{p}_{0}={n}_{i}^{2}$

$\frac{dE}{dx}=\frac{\rho }{\epsilon }=\frac{q}{\epsilon }\left(p\left(x\right)-n\left(x\right)-{N}_{A}^{-}+{N}_{D}^{+}\right)$

$\frac{d\mathbf{E}}{dx}=\frac{\rho }{\epsilon }$