ProblemSet1_Spring2010

ProblemSet1_Spring2010 - Physics 177 Spring 2010 Problem...

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Physics 177 Spring 2010 Problem Set #1: Chain Statistics Due: 1. The characteristic ratio of a polymer is defined as: C N = <h 2 >/Nl 2 relating the mean square end-to-end distance h 2 , the number of segments in the polymer, N, and the length of the segment, l. For a freely rotating chain show that C 4 = 1 + (6 α + 4 α 2 + 2 α 3 )/4, where α = <cos Θ >. The characteristic ratio is important because is a measure of the stiffness of the chain. Notice that for a freely jointed chain C N = 1, for all values of N. For real, stiffer, chains, C N adopts and asymptotic value, C usually greater than 1. 2. The characteristic ratio of polypeptides have been experimentally determined to be 10. Suppose that a polypeptide chain has the function of linking two organelles in the cell and maintaining their distance at 50Å. Determine how many structural units should there be in the peptide so that a distance of 50Å is maintained on average without tension or compression using the freely jointed chain model. Assume a virtual bond length of 3.8 Å.
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ProblemSet1_Spring2010 - Physics 177 Spring 2010 Problem...

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