Question: Derive equation (13.1.9) for hard spheres in one dimension from equation (13.1.7). Plot the pair correlation function for (n D=0.25,0.50,0.75), and 0.90 . Determine the

Derive equation (13.1.9) for hard spheres in one dimension from equation (13.1.7). Plot the pair correlation function for \(n D=0.25,0.50,0.75\), and 0.90 . Determine the structure factor \(S(k)\) numerically and plot it for the same densities. Compare your results with equation (13.1.21).

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