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Leonard-Jones potential: Further reading

  1. Mar 18, 2013 #1
    Dear All,

    Recently I've started looking at the Leonard-Jones potential for a project; and I'm trying to look for a book that covers the potential in additional detail beyond the standard +ve and -ve contributions.

    Can anyone please recommend some books for further reading?

    Most of the books I've come across treat the potential as a sort of run-by thing. They mention it and then just forget about it later on...

    Cheers,
    Z
     
    Last edited: Mar 18, 2013
  2. jcsd
  3. Mar 18, 2013 #2

    DrDu

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  4. Mar 18, 2013 #3
    Ooooh thanks. I had a look at that and it looks rather useful at understanding the subject matter. However it seem to not elucidate on the potential in solids.

    I'm wondering if the Lenard Jones potential/interatomic potentials can describe the mechanical properties of a solid and been trying to find some books on that. :/
     
  5. Mar 19, 2013 #4
    Lennard Jones potential can describe closed shell solids reasonably well, that is the crystals of the noble gases (He, Ar, ....). But it is definitely a bad representation of metals and of course not adequate for covalent elements (Si, Ge,....).

    L-J as a pair potential (2-body in contrast to many body potentials such as EAM and the like) fails in:
    1) It gives C11=C44 (elastic constants) which is not observed in most metals
    2) It gives "outward" surface relaxation which is not the case for many materials (it is indeed inward).


    More on these aspects can be found in any text on atomistic simulation such as

    https://www.amazon.com/Understanding-Molecular-Simulation-Second-Computational/dp/0122673514

    Another good resource is MIT video lectures . All what I mentioned and more is discussed in lecture 2 and 3

    http://ocw.mit.edu/courses/material...aterials-sma-5107-spring-2005/video-lectures/
     
    Last edited by a moderator: May 6, 2017
  6. Mar 25, 2013 #5
    Thank you :)
     
  7. Apr 12, 2013 #6
    Oh apologies for reviving an old thread, but I thought if anyone was interested in the matter they could read this under the sub-section of interatomic potentials

    http://www.uic.edu/labs/trl/1.OnlineMaterials/nano.publications/03.Nanostructures.InterMoleForce.pdf [Broken]

    and proceed from there onwards
     
    Last edited by a moderator: May 6, 2017
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