Binding Energy given a function?

AI Thread Summary
The binding energy of a two-particle system is the energy needed to separate the particles from their lowest energy state to infinity. The potential energy for a diatomic molecule is given by U(r) = -a/(r^6) + b/(r^12), where r is the interatomic distance and a and b are positive constants. To find the binding energy, one must determine the minimum potential energy, Umin, by taking the derivative of U(r) and finding the critical points. The binding energy can then be calculated using the difference between Umin and Umax, where Umax approaches zero as r approaches infinity. This approach effectively utilizes the definition of binding energy in the context of the given potential energy function.
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Homework Statement


The binding energy of a two-particle system is defined as the energy required to separate the two particles from their state of lowest energy to r=infinity. The potential energy of the two atoms in a diatomic (two-atom) molecule can be written
U(r)=-a/(r^6)+b/(r^12)
where r is the distance between the two atoms and a and b are positive constants.
Determine the binding energy. (in terms of a and b)

Homework Equations



The Attempt at a Solution



I don't even know where to start.. do i take the derivative of U(r) and find the minimum value of r and plug that in which would be the binding energy?
 
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Basically, find Umin and Umax. Use the definition given to determine the binding energy.
 

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