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Find the equilibrium separation between two materials

  1. Jun 14, 2014 #1
    1. The problem statement, all variables and given/known data

    Find the equilibrium separation between Diamond and Copper materials.

    2. Relevant equations

    Lennard-Jones force/unit area:

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

    I need to find [itex]z_0[/itex] which is the equilibrium separation.

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


    3. 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?
     
  2. jcsd
  3. Jun 15, 2014 #2

    Borek

    User Avatar

    Staff: Mentor

    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.
     
  4. Jun 15, 2014 #3
    Thanks for the info.
     
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