Question: Use the pair correlation function (13.1.8) and (13.1.9) to determine analytically the structure factor for hard spheres in one dimension. Show that (S(k)) is given

Use the pair correlation function (13.1.8) and (13.1.9) to determine analytically the structure factor for hard spheres in one dimension. Show that \(S(k)\) is given by equation (13.1.21). Plot \(g(x)\) and \(S(k)\) for \(n D=0.25,0.50,0.75\), and 0.90 .

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