Lennard Jones Potential Equation: Repulsive and Attractive terms?

In summary, the Lennard Jones Potential Equation is a mathematical model used to describe the interaction between two particles in a system, taking into account both the repulsive and attractive forces. It is commonly used in scientific research, particularly in molecular dynamics simulations and in fields such as chemistry and materials science. However, it has limitations such as not accounting for electrostatic forces and assuming spherical particles. Additionally, the temperature affects the equation by changing the strength of the attractive forces between particles.
  • #1
Lavace
62
0
http://www.ph.qmul.ac.uk/phy108/CM2008_week2_exercise1_solution.pdf

The L-J Potential Curve in question 2),

V(r) = V(r) repulsive + V(r) attractive

Is the ^12 term the repulsive term and ^6 is the attractive term?
 
Last edited by a moderator:
Physics news on Phys.org
  • #2
Well, [itex]\textbf F=-\nabla V[/itex]...what sign does an attractive force have? Which term in the potential produces a force with that sign?
 
  • #3
Alternatively, keeping in mind that the force acts in the direction of lower potential:

Image a graph of 1/r12. Is that an attractive or repulsive potential?

Do the same for a graph of -1/r6
 

1. What is the Lennard Jones Potential Equation?

The Lennard Jones Potential Equation is a mathematical model used to describe the interaction between two particles in a system. It takes into account both the repulsive and attractive forces between the particles.

2. What are the repulsive and attractive terms in the Lennard Jones Potential Equation?

The repulsive term in the equation represents the short-range repulsive force between particles due to their overlapping electron clouds. The attractive term represents the long-range attractive force due to dipole-dipole interactions between particles.

3. How is the Lennard Jones Potential Equation used in scientific research?

The Lennard Jones Potential Equation is commonly used in molecular dynamics simulations to study the behavior of particles in a system. It is also used in fields such as chemistry and materials science to understand the properties of molecules and materials.

4. What are the limitations of the Lennard Jones Potential Equation?

The Lennard Jones Potential Equation is a simplified model and does not take into account more complex interactions such as electrostatic forces. It also assumes spherical particles and does not account for anisotropic interactions.

5. How does temperature affect the Lennard Jones Potential Equation?

The Lennard Jones Potential Equation includes a temperature-dependent term that affects the strength of the attractive forces between particles. As temperature increases, the attractive forces decrease, leading to a decrease in potential energy between particles.

Similar threads

  • Atomic and Condensed Matter
Replies
4
Views
1K
  • Science and Math Textbooks
Replies
3
Views
706
  • Atomic and Condensed Matter
Replies
1
Views
1K
  • Advanced Physics Homework Help
Replies
16
Views
2K
  • Advanced Physics Homework Help
Replies
1
Views
1K
Replies
5
Views
4K
  • Advanced Physics Homework Help
Replies
1
Views
793
  • Advanced Physics Homework Help
Replies
5
Views
2K
  • Advanced Physics Homework Help
Replies
1
Views
2K
  • Advanced Physics Homework Help
Replies
6
Views
2K
Back
Top