# Deriving equation of potential energy of H2

1. Mar 25, 2012

### zimo123

1. The problem statement, all variables and given/known data

Derive the equation for the potential energy of a system of 2 hydrogen atoms as a function of internuclear distance.

2. Relevant equations

For electron/electron and nucleus/nucleus repulsion:

$V_E=\frac{e^2}{4\pi\epsilon_0 R}$

For electron/nucleus attraction:

$V_E=-\frac{e^2}{4\pi\epsilon_0 R}$

Schrodinger equation:

$-\frac{\hbar^2}{2m}\frac{\partial^2\psi (R)}{\partial R^2}+V(R)\psi (R)=E\psi (R)$

3. The attempt at a solution

I am really confused on what to take for V(R) ? There are 4 electric interactions (2 electrons and 2 positively charged nuclei). Also, I don't understand what I should graph, is it the wave function ? If someone could just give me a little hint, it would help a lot!

Thank you so much