# Lennard-Jones Potential

1. May 8, 2010

### Lavace

1. The problem statement, all variables and given/known data
[PLAIN]http://img94.imageshack.us/img94/4287/len2.jpg [Broken]

2. Relevant equations
[PLAIN]http://img710.imageshack.us/img710/2428/len1y.jpg [Broken]

3. The attempt at a solution
I know my way around the Lennard-Jones potential formula, but this question stumps me.

Any clues on how to proceed are greatly thanked!

Last edited by a moderator: May 4, 2017
2. May 8, 2010

### nickjer

Just define a new unitless variable as $X=r/\sigma$.

3. May 9, 2010

### Lavace

I used your defined variable and plugged it in, but still cannot arrive at the proof given in the question, could you possibly expand further?

Thank you!

4. May 9, 2010

### nickjer

I wouldn't call that a proof. You are just doing a change of variables. You can replace $r/\sigma$ with $X$ in the above equation. Unless 'X' has a meaning that I am unaware of.