*USING MATLAB

Problem 3 Lennard-Jones potential is a simple model for particle interaction given by the following:

Problem 3-Lennard-Jones potential is a simple model for particle interaction given by the following: 12 4 (a) Plot the function in y-(V/c) vs. x=(r/) coordinates for (r/)-09-2 range and confirm that there is a minimum (b) Using calculus method, determine the value of (r/a) that minimizes the function. (c) Using fminbnd or golden, find the minimum and confirm that the result is same as that from (b). Problem 3-Lennard-Jones potential is a simple model for particle interaction given by the following: 12 4 (a) Plot the function in y-(V/c) vs. x=(r/) coordinates for (r/)-09-2 range and confirm that there is a minimum (b) Using calculus method, determine the value of (r/a) that minimizes the function. (c) Using fminbnd or golden, find the minimum and confirm that the result is same as that from (b)