Repulsive term in Born-Mayer potentials

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SUMMARY

The Born-Mayer potential includes an exponential repulsive term, which is definitively expressed as exp(-r), where r represents the interatomic distance. This formulation accurately describes short-range repulsive interactions, as it approaches infinity when r equals zero. Although some sources reference exp(1/r), the exp(-r) term is more widely accepted in the literature, including Phys. Rev. 178, 76 (1969). The discussion highlights the importance of understanding these terms in the context of ionic interactions and dispersion forces.

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sphericalCat
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Hi, folks,

Is the exponential (repulsive) term in Born-Mayer potentials supposed to be exp(-r) or exp(1/r)? - r is the interatomic distance; constants ignored

I've seen both versions pop up in what appear to be reputable sources. The second one seems to be more popular, but, to me at least, the first one seems to make more sense (goes to infinity at r=0).

Which one is the right one and why?

Thanks
 
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sphericalCat said:
Hi, folks,

Is the exponential (repulsive) term in Born-Mayer potentials supposed to be exp(-r) or exp(1/r)? - r is the interatomic distance; constants ignored

I've seen both versions pop up in what appear to be reputable sources. The second one seems to be more popular, but, to me at least, the first one seems to make more sense (goes to infinity at r=0).

Which one is the right one and why?

Thanks

Check out : Phys. Rev. 178, 76 (1969)

The exp(-r) describes the short term repulsive interaction. Aside the Coulombic part (1/r) there are socalled "dispersion interactions of the ions". These terms are always attractive and are present due to the effect of perturbations in an ion's electron distribution on a neighbouring ion's electron distribution. Check ou the third term in http://nickwilson.co.uk/research/ox.ac.uk/Part2/node4.html

I did not find the exp(r) part. Could you show me reference where this mentioned ?

marlon
 

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