Put the title of the example as the first cell, so the website example
renderer shows something useful as the example summary. Fix small typos
in some math content. Use notebook matplotlib magic for plots.
The new example demonstrates use of the BinarySolutionTabulatedThermo
class, to calculate the open circuit potential for a standard Li ion
battery (graphite anode, LCO cathode) for a range of anode and cathode
Li stoichiometries.
The notebook demonstrates cell potential calculations via two methods:
a kinetic method where the current is set to zero and the correct
electric potentials are fit using scipy.optimize.fsolve, and a
thermodynamic method whereby the equilibrium potential at each
electrode interface is calculated according to the gibbs free energy
of reaction.
The notebook can readily be extended to simulate charge-discharge of
the battery, and preliminary functionality for such an extension is
already programmed into the notebook.
