1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Deriving equation of potential energy of H2

  1. Mar 25, 2012 #1
    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:

    [itex]V_E=\frac{e^2}{4\pi\epsilon_0 R}[/itex]

    For electron/nucleus attraction:

    [itex]V_E=-\frac{e^2}{4\pi\epsilon_0 R}[/itex]

    Schrodinger equation:

    [itex]-\frac{\hbar^2}{2m}\frac{\partial^2\psi (R)}{\partial R^2}+V(R)\psi (R)=E\psi (R)[/itex]

    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
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?