A ligand is bound to a protein with a spring-like square-law energy e(x), where x is the distance between the ligand and protein as shown in the figure. e(x) = }cx² Protein Ligand (a) For constant (T,V,N), write an expression for the probability distribution p(x) of the ligand separation from the protein. (b) Sketch a plot of p(x) vs x. (c) Write an expression for the average location of the ligand, (x). (d) Write an expression for the second moment of the location of the ligand, (x²). (e) Calculate the average energy, (e) of the system.

A ligand is bound to a protein with a spring-like square-law energy e(x), where x is the distance between the ligand and protein as shown in the figure. e(x) = }cx² Protein Ligand (a) For constant (T,V,N), write an expression for the probability distribution p(x) of the ligand separation from the protein. (b) Sketch a plot of p(x) vs x. (c) Write an expression for the average location of the ligand, (x). (d) Write an expression for the second moment of the location of the ligand, (x²). (e) Calculate the average energy, (e) of the system.

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter20: Molecular Spectroscopy And Photochemistry

Section: Chapter Questions

Problem 6P

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