Lennard-Jones potential graph w/ attractive/repulsive force

In summary, the equation F = -d\Phi/dr shows that the force between two molecules is attractive when it is positive and repulsive when it is negative. This is illustrated by the graph, which indicates that the force is attractive when the molecules are farther apart than rm, and repulsive when they are closer together. This is contrary to what Chestermiller stated, as the slope of the potential curve is negative when the force is positive.
  • #1
destroyer130
18
0
Capture.PNG


Based on this and the equation F = -d[itex]\Phi[/itex]/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.
 
Engineering news on Phys.org
  • #2
destroyer130 said:
View attachment 54775

Based on this and the equation F = -d[itex]\Phi[/itex]/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.
 
  • #3
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)
 

1. What is the Lennard-Jones potential graph?

The Lennard-Jones potential graph is a mathematical representation of the intermolecular potential energy between two particles as a function of their separation distance. It is commonly used to model the interactions between atoms or molecules in a system.

2. What does the "attractive/repulsive force" refer to in the Lennard-Jones potential graph?

The "attractive/repulsive force" in the Lennard-Jones potential graph refers to the two components of the intermolecular potential energy: the attractive force due to van der Waals interactions and the repulsive force due to the overlap of electron clouds in the atoms or molecules.

3. How does the attractive/repulsive force affect the shape of the Lennard-Jones potential graph?

The attractive force causes the potential energy to decrease as the particles get closer together, while the repulsive force causes it to increase as the particles get too close. This results in a potential energy curve that is shallow at long distances, has a minimum energy at an optimal distance, and increases rapidly at short distances due to the repulsive force.

4. What is the significance of the "well depth" on the Lennard-Jones potential graph?

The "well depth" on the Lennard-Jones potential graph represents the minimum potential energy that the two particles can have. This depth is determined by the strength of the attractive force between the particles and is a measure of the stability of the system.

5. How is the Lennard-Jones potential graph used in scientific research?

The Lennard-Jones potential graph is used in various fields of science, such as chemistry, physics, and materials science, to model the interactions between particles in a system. It is also used in molecular dynamics simulations to study the behavior and properties of molecules and materials. Additionally, it can be used to predict the phase behavior and stability of a substance under different conditions.

Similar threads

  • Atomic and Condensed Matter
Replies
1
Views
1K
  • Atomic and Condensed Matter
Replies
4
Views
1K
  • Other Physics Topics
Replies
4
Views
1K
  • Classical Physics
Replies
7
Views
838
  • Introductory Physics Homework Help
Replies
5
Views
180
  • Differential Equations
Replies
3
Views
231
  • Introductory Physics Homework Help
Replies
14
Views
2K
  • Atomic and Condensed Matter
Replies
1
Views
2K
Back
Top