Find the equilibrium separation between two materials

Click For Summary
SUMMARY

The discussion centers on calculating the equilibrium separation between Diamond and Copper using the Lennard-Jones potential. The relevant equation provided is the Lennard-Jones force per unit area, which includes parameters such as surface adhesion energy (w) and equilibrium separation (z0). The user seeks clarification on whether experimental data is necessary for determining z0 and expresses uncertainty about the appropriate forum for this inquiry. The conversation highlights the intersection of chemistry and physics in understanding material interactions.

PREREQUISITES
  • Understanding of Lennard-Jones potential
  • Familiarity with surface adhesion energy concepts
  • Basic knowledge of equilibrium forces in material science
  • Experience with mathematical modeling in physics
NEXT STEPS
  • Research experimental methods for measuring equilibrium separation in materials
  • Study the application of Lennard-Jones potential in material science
  • Learn about the significance of surface adhesion energy in material interactions
  • Explore advanced topics in molecular dynamics simulations
USEFUL FOR

Material scientists, physicists, and engineers interested in the properties of material interfaces and those involved in experimental and theoretical studies of material interactions.

TheFerruccio
Messages
216
Reaction score
0

Homework Statement



Find the equilibrium separation between Diamond and Copper materials.

Homework Equations



Lennard-Jones force/unit area:

p_a(z)=\frac{8w}{3z_0}\left[\left(\frac{z}{z_0}\right)^{-9}-\left(\frac{z}{z_0}\right)^{-3}\right]

I need to find z_0 which is the equilibrium separation.

w is the surface adhesion energy in Joules/m^2.

The Attempt at a Solution



I did not know where to post this question because I do not know if it even has a solution with the information that I have. It is a question I am asking myself because I am trying to predict some behavior to purchase some things. I know that equilibrium separation is where there is zero force/stress encountered. However, I do not know where actual data for equilibrium separation is obtained. Must it be done experimentally? Is it something non-trivial?

Is this the right board to post this in? Should this be in physics, or elsewhere?
 
Physics news on Phys.org
LJ potential is mentioned in the GenChem curriculum, other than that I don't see much chemistry here. Moving it to General Physics for you.
 
Thanks for the info.
 

Similar threads

High School My Third Post: Change of Intermolecular Distance?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Pair interaction potential with more than one mininum?
  • · Replies 4 ·
Replies
4
Views
3K
Temperature of two subsystems at equilibrium
  • · Replies 7 ·
Replies
7
Views
1K
Undergrad Direct Gibbs energy calculation from molecular dynamics
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad On a remark regarding the Cauchy integral formula
  • · Replies 2 ·
Replies
2
Views
3K
Find equilibrium profile T(x) Between Two Rods
  • · Replies 7 ·
Replies
7
Views
2K
Scale height ##z_0## of atmosphere's density profile
  • · Replies 2 ·
Replies
2
Views
2K
How should I find the equilibrium points and the general equation?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad What should be continuous at the interface of two materials?
  • · Replies 8 ·
Replies
8
Views
3K
Engineering Equilibrium equations of elastic body
  • · Replies 31 ·
2
Replies
31
Views
4K