How Much Energy is Needed to Separate Two Atoms in a Vibrational State?

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SUMMARY

The discussion centers on calculating the minimum energy required to separate two neutral atoms in a vibrational state, as represented by a potential energy curve. The key takeaway is that at the minimum point of the potential energy graph, the force between the atoms is zero, indicating no attraction or repulsion. To achieve separation, one must supply enough energy to raise the system's energy to zero, effectively overcoming the binding energy represented in the potential energy curve.

PREREQUISITES
  • Understanding of potential energy curves in atomic interactions
  • Familiarity with the concepts of kinetic energy (K) and potential energy (U)
  • Knowledge of the conservation of energy principle
  • Basic grasp of vibrational states in quantum mechanics
NEXT STEPS
  • Study the principles of potential energy curves in atomic physics
  • Learn about the conservation of energy in mechanical systems
  • Explore vibrational states and their implications in quantum mechanics
  • Investigate methods for calculating binding energy in atomic interactions
USEFUL FOR

This discussion is beneficial for physics students, particularly those studying atomic interactions, quantum mechanics, and energy conservation principles. It is also useful for educators seeking to explain these concepts in a clear and practical manner.

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Homework Statement



This question seems like it should be really simple but I just can't figure it out.

1t5zz5.jpg


This diagram is the potential energy curve for the interaction of two neutral atoms. the heavy solid horizontal line indicates the two atoms are in a vibrational state.

What minimum (positive) amount of energy must be supplied to cause these two atoms to separate?

Homework Equations



Kf + Uf = Ki + Ui == > Conservation of Energy?

The Attempt at a Solution



I got the previous parts of the question correct. It asked to find K, U and K+U at the point r1.

I really don't know how to solve this part however. I know that at the minimum (lowest) point on the potential energy graph the force between the two atoms is zero. This would mean that they are neither repelling nor attracting right? Do i need to incorporate this somehow in this question?
 
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Likely "separate" means to move far apart where the interaction energy is zero. Just look at the graph and see how much must be added to bring the energy up to zero.
 

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