Leonard-Jones potential: Further reading

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Discussion Overview

The discussion centers around the Lennard-Jones potential, particularly in the context of seeking further reading materials that delve deeper into its applications and implications beyond the basic positive and negative contributions. Participants explore its relevance to solid materials and mechanical properties.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks recommendations for books that provide a more comprehensive treatment of the Lennard-Jones potential, expressing frustration with existing literature that only briefly mentions it.
  • Another participant suggests the original article on the Lennard-Jones potential as a useful resource.
  • A participant acknowledges the original article but notes its lack of focus on the potential's application to solids, questioning whether the Lennard-Jones potential can adequately describe the mechanical properties of solid materials.
  • One participant argues that the Lennard-Jones potential can describe closed shell solids, such as noble gas crystals, but is inadequate for metals and covalent elements, citing specific failures in predicting elastic constants and surface relaxation behavior.
  • Additional resources are provided, including a textbook on atomistic simulation and MIT video lectures that discuss the limitations of the Lennard-Jones potential.
  • A later reply shares a link to a publication on interatomic potentials, suggesting it may be of interest to those following the discussion.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of the Lennard-Jones potential to various types of materials, particularly in relation to solids, metals, and covalent elements. There is no consensus on its effectiveness or limitations.

Contextual Notes

Participants highlight limitations in the Lennard-Jones potential's ability to accurately represent certain materials, particularly regarding elastic constants and surface relaxation, but do not resolve these issues.

letshin
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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
 
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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. :/
 
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/dp/0122673514/?tag=pfamazon01-20

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/
 
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Thank you :)
 
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

and proceed from there onwards
 
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