We examined this curve for the potential energy of two atoms as a function of their separation...

Question

We examined this curve for the potential energy of two atoms as a function of their separation distance. Mathematically, we can model this curve by the expression: U (r) = A — — B rn I'm where A, B, m, and n are positive constants.
a) Show that the binding energy can be given by U bind (ro) = Bn — 1 I where ro
is the equilibrium separation distance.
b) The binding energy must be negative for a stable atom to form. What condition does this place on m and n ?
c) Recall that force is given by F = -dU/dr. If we apply an external force which exceeds the maximum interatomic force, we can break up the molecule. Show that a molecule formed by two atoms will break up once the atoms are pulled apart to a n+11/(n-m) 1 distance rb = ro [—m +1
4

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David · Accepted Answer

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a. At equilibrium separation, net force on atom should be zero, 
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Now, for equilibrium, r=r0
Hence,               

  
  
Binding Energy,

We examined this curve for the potential energy of two atoms as a function of their separation distance. Mathematically, we can model this curve by the expression: U (r) = A — — B rn I'm where A, B,...

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