Force between 2 Atoms in solid state physics

AI Thread Summary
The potential energy between two atoms is described by the equation U(r) = -A/(r^2) + B/(r^10), where A and B are constants. To calculate the force, one can derive the potential energy function with respect to distance, yielding F(r) = -dU/dr. The energy required to completely separate the atoms is determined by the difference in potential energy at infinity and at the equilibrium distance. Additionally, to find the force needed to increase the distance by a specified percentage from the equilibrium position, the same force equation can be applied at the new distance. Understanding these calculations is essential for accurately determining atomic interactions in solid-state physics.
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If we have a molcule of 2 atoms, and the potential energy between them is given as a funcion to the distance between them r:
U(r)=-A/(r^2)+B/(r^10)
Where A,B are constants,

How can we calculate the FORCE and ENERGY required to completelty separate them? and how can we calculate the force required to increase the distance between them from the equilibrium distance plus 5% or any specified distance?

And thanks
 
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The energy required for 'separation' is given by the difference between the potentials at infinity (for which the 1/rn potential is zero) and at the nominal separation distance when the atoms are bound in the molecule (ro).

If one knows the potential, how does one determine a force?

See - http://hyperphysics.phy-astr.gsu.edu/HBASE/pegrav.html, particularly plate #2.
 
Thanks, hope this works (Professor accept it), because this professor just know how to read from books, he dosn't know how to integrate dx lol, and I'm not getting same as his result!

Thanks again
 
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