Hi Keith--

> 
> I'm using a somewhat older force field (see below. The Lennard-Jones
> potential is implemented differently. 

Are you using a different version of Xplor-NIH than what we distribute?

> For example S (radius = 1.05 angstroms) 

That seems rather short.

> sigma is 3.7458 in this setup. After double checking the
> formula given (sigma*2^(-5/6))I believe is wrong - it should include 
> division by 2 . So for S I get 3.7458(0.561)/2 = 1.05 angstroms.
> 
> I pretty sure the sigma I should use is 4.635 to approximate r = 1.20
> angstroms.
> 

In the nonbonded VDW potential used in Xplor-NIH,

 http://nmr.cit.nih.gov/xplor-nih/doc/2.34/xplor/node118.html
(hopefully this is working by the time you look)

the basic form of the potential is:

 E = sigma^12/R^12 - sigma^6 /R^6

where R is the interatomic distance, not radius (rather, it's 2*radius
for interactions between two of the same type of atoms).

The minimum in this energy is at

   R = sigma * 2^(1/6).

Therefore, atomic radius = sigma * 2^(1/6) / 2 = sigma * 2^(-5/6)

best regards--
Charles

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