Where Is the Lennard-Jones Potential Minimized?

[terp.asessed]

Homework Statement

At what distance r is the Lennard Jones potential minimized?

Homework Equations

Typical graph of Lennard Jones potential, U(r) vs. r/σ

The Attempt at a Solution

I thought that from looking at the graph, r = ∞ for potential minimization. However, the answer turned out to be (2)^1/6σ. Could someone explain?

 

[mfb]

I thought that from looking at the graph, r = ∞ for potential minimization.

Why? Zero is not the minimum.

However, the answer turned out to be (2)^1/6σ. Could someone explain?

You should have the function definition given somewhere. Finding the minimum is simple mathematics.