14. Protein conformations. Assume a protein has six different discrete conformations, with energies given in Figure 10.13. A. -5 kcal mol-1 B. -3 kcal mol-1 C. -3 kcal mol-1 D. 1 kcal mol-1 E. 1 kcal mol-1 F. 2 kcal mol-1 Figure 10.13 (a) Write an expression for the probability p(i) of finding the protein in conformation i. (b) Write an expression for the probability p(E) of finding the protein having energy E. (c) Use the expressions you wrote in (a) and (b) to calculate the following probabilities: (i) p(State B). (ii) p(State A). (iii) p(State D). (iv) p(1 kcal mol-1). (v) p(-5 kcal mol-1). (d) What is the average energy of the ensemble of conformations?
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The Boltzmann factor for a state with energy E is given by e^(-E/kT), where k is the Boltzmann constant and T is the temperature. Assuming the temperature T is such that kT = 1 kcal/mol, the partition function Z is: Z = e^(-5) + e^(-5) + e^(-5) + e^(-5) + Show moreā¦
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(a) Write an expression for the probability p(i) of finding the protein in conformation i. (b) Write an expression for the probability p(E) of finding the protein having energy E. (c) Use the expressions you wrote in (a) and (b) to calculate the following probabilities: (i) p(State B) (ii) p(State A) (iii) p(State D) (iv) p(1 kcal mol^-1) p(-5 kcal mol^-1).
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