Question

 

                                                                                                            If r0 = 20869 χ 10-10 m and E0 /KB= 10.22 K for He calculate and plot the Lennard Jones potential? Set one molecule at a fixed (pinned) position on the x-axis, say at x = 5 nm.  The other molecule starts at the origin with initial velocity v0  =v0 (x cosβ +y sinβ) where β is small angle between v0  and the x-axis.  Develop a computer program to calculate the trajectory of the moving particle in the x-y plane for various v0 and β , based on (a) the rigid-elastic-sphere assumption and (b) the intermolecular force field. Comment on the differences between the results obtained from the two models?

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