Deriving equation of potential energy of H2

  • Thread starter zimo123
  • Start date
  • #1
18
0

Homework Statement



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

Homework 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]

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
 

Answers and Replies

Related Threads on Deriving equation of potential energy of H2

  • Last Post
Replies
0
Views
2K
Replies
5
Views
4K
  • Last Post
Replies
2
Views
640
Replies
12
Views
5K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
11
Views
5K
Replies
2
Views
7K
  • Last Post
Replies
8
Views
7K
  • Last Post
Replies
5
Views
3K
Top