Show how eqn 19.26 for a one-dimensional freely jointed chain can be used to derive eqn
Chapter 19, Problem 19.14(choose chapter or problem)
Show how eqn 19.26 for a one-dimensional freely jointed chain can be used to derive eqn 19.27 for a three-dimensional freely-jointed chain. Hint. Write the probability that the ends lie in the range nx to nx + dnx as dPx = Pdnx, with P given in eqn 19.26, and similarly for the other two dimensions. Multiply these probabilities together, and integrate dnxdnydnz over a shell of thickness dn. Dont count negative integers (that is, divide the volume of the shell by 8, corresponding to the all-positive octant of values).
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