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Q: Calculating gravitation inside a lattice
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Uncle Al
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PostPosted: Mon Oct 13, 2008 3:10 pm    Post subject: Q: Calculating gravitation inside a lattice Reply with quote

http://www.mazepath.com/uncleal/example.png
Picture of the problem.
A dense lattice is within the hollow of a closed lattice membrane

Given: a chiral icosahedral (point group I not Ih) giant fullerene
(hollow) with 420 atoms (multiple bonds not displayed). Within it and
off-center is nested a point group T (not Td or Th) dense lump of 21
atoms, also chiral (pictured in red). The only data are the Cartesian
coordinates of each atom. I>d like to calculate the net gravitational
interaction by centers of mass (coward>s way out) and from the
summation of all fullerene-probe binary arom pairings (rigorous).

No mirror symmetry in either molecule. Nothing homogeneous or
isotropic about the atom distributions.

The spherical shell approximation won>t work. I have a programmer, I
have 20 such pairs of lattices, and the big fullerene in that list has
980 atoms. Do anybody have any clever procedural ideas? Cartesian
distance calculation obviously loses direction information.

Thank you!

--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
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