Force between 2 Atoms in solid state physics

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SUMMARY

The discussion focuses on calculating the force and energy required to separate two atoms in solid-state physics, described by the potential energy function U(r) = -A/(r^2) + B/(r^10). The energy for separation is determined by the difference in potential energy at infinity and at the equilibrium distance (r0). To calculate the force, one must derive the potential energy function with respect to distance, resulting in F(r) = -dU/dr. This method provides a clear approach to understanding atomic interactions and forces in molecular systems.

PREREQUISITES
  • Understanding of potential energy functions in physics
  • Knowledge of calculus, specifically differentiation
  • Familiarity with atomic models and interatomic forces
  • Basic concepts of solid-state physics
NEXT STEPS
  • Study the derivation of force from potential energy in atomic systems
  • Explore the implications of the Lennard-Jones potential in molecular interactions
  • Learn about equilibrium distance calculations in molecular physics
  • Investigate energy barriers in chemical reactions and separations
USEFUL FOR

This discussion is beneficial for physicists, materials scientists, and students studying solid-state physics, particularly those interested in atomic interactions and molecular forces.

TheDestroyer
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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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