plot leonard jones formula in matlab

To plot the Leonard-Jones formula in MATLAB, you can follow these steps:

  1. Define the parameters of the formula: sigma, epsilon, and r (the distance between the two particles).
  2. Calculate the energy for each value of r using the Leonard-Jones formula: E = 4 * epsilon * ((sigma ./ r).^12 - (sigma ./ r).^6)
  3. Plot the energy as a function of r.

Here's the MATLAB code:

main.m
% Define parameters
sigma = 1;
epsilon = 1;
r = linspace(0.8, 2.5, 100); % array of distances between the two particles

% Calculate energy
E = 4 * epsilon * ((sigma ./ r).^12 - (sigma ./ r).^6);

% Plot energy as a function of r
plot(r, E);
xlabel('Distance (r)');
ylabel('Energy (E)');
title('Leonard-Jones Potential');
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This will generate a plot of the energy as a function of distance, which should resemble the typical shape of the Leonard-Jones potential.

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