The Lennard-Jones potential is minimized at a distance of \( r = (2)^{1/6} \sigma \). This conclusion is derived from analyzing the graph of the potential \( U(r) \) versus \( r/\sigma \). Contrary to initial assumptions that the potential minimizes at infinity, the correct minimum occurs at a finite distance, highlighting the importance of understanding the function's behavior through mathematical analysis.
PREREQUISITESStudents in physics or chemistry, researchers in molecular dynamics, and anyone interested in understanding intermolecular forces and potential energy minimization.
Why? Zero is not the minimum.terp.asessed said:I thought that from looking at the graph, r = ∞ for potential minimization.
You should have the function definition given somewhere. Finding the minimum is simple mathematics.However, the answer turned out to be (2)1/6σ. Could someone explain?