Lennard-Jones potential graph w/ attractive/repulsive force

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SUMMARY

The discussion centers on the interpretation of the Lennard-Jones potential graph, specifically regarding the force direction between two molecules as described by the equation F = -dΦ/dr. It is established that when the force is positive, the interaction is attractive, and when it is negative, the interaction is repulsive. The critical distance, rm, is highlighted as the threshold where the nature of the force changes from attractive to repulsive. This clarification is essential for understanding molecular interactions in physical chemistry.

PREREQUISITES
  • Understanding of the Lennard-Jones potential
  • Familiarity with the equation F = -dΦ/dr
  • Basic knowledge of molecular forces
  • Graph interpretation skills in physical chemistry
NEXT STEPS
  • Study the implications of the Lennard-Jones potential in molecular dynamics simulations
  • Learn about the significance of the critical distance rm in molecular interactions
  • Explore graphical representations of potential energy curves
  • Investigate other potential models used in molecular physics
USEFUL FOR

This discussion is beneficial for physicists, chemists, and students studying molecular interactions, particularly those focusing on the Lennard-Jones potential and its applications in simulations and theoretical models.

destroyer130
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Based on this and the equation F = -d\Phi/dr. I can't visualize what is positive and negative force direction (what is positive direction). So is that just mean whenever the force between 2 molecules (+), it's repulsive; and whenever it's (-), it's attractive? Thanks for checking this out.
 
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destroyer130 said:
View attachment 54775

Based on this and the equation F = -d\Phi/dr. I can't visualize what is positive and negative force direction (what is positive direction). So is that just mean whenever the force between 2 molecules (+), it's repulsive; and whenever it's (-), it's attractive? Thanks for checking this out.
What this graph is telling you is that, if the two molecules are farther apart than rm, the force between them is attractive, but if they are closer together than this, the force is repulsive.
 
What Chestermiller said.

I just want to point out that with the equation you posted the force is attractive when it is positive and repulsive when negative (not the other way around) (When the slope of the potential curve is negative the force is positive)
 

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