NASA studies Crop Circles???

Bob Paddock ( bpaddock@csonline.net )
Sat, 17 Jul 1999 16:30:24 -0400

[To be fair to NASA their use of "Crop Circles" means some
thing diffrent to them than to us, but it is not defined in
the paper at hand so maybe.... I post it because it seems
related to 'Shape Power' to me.]

I've taken on a new 'job' of sorts. Each month I'm writting
a "Resource Page" for http://www.circuitcellar.com/online.

One of my upcoming topics is going to be about
Nanotechnolgies. If any one has any links or any thing in
that area they'd like to share please send me a e-mail.

While doing my research I came across a paper on NASA's
study of Crop Circles that I thought some here would find of
interest:

NAS Technical Reports

http://science.nas.nasa.gov/Pubs/TechReports/NASreports/NAS-97-015/

Toroidal Single Wall Carbon Nanotubes in Fullerene Crop Circles

Jie Han NASA Ames Research Center
Mail Stop T27A-1
Moffett Field, CA 94035-1000
han@nas.nasa.gov
NAS-97-015
June 1997

Abstract

We investigate energetics and structure of circular and
polygonal single wall carbon nanotubes (SWNTs) using large
scale molecular simulations on NAS SP2, motivated by their
unusual electronic and magnetic properties. The circular
tori are formed by bending tube (n, n) whereas the polygonal
tori are constructed by turning the joint of two tubes of
(n, n), (n+1, n-1) and (n+2, n-2) with topological
pentagon-heptagon defect, in which n=5, 8 and 10. The strain
energy of circular tori relative to straight tube decreases
by 1/Dư where D is torus diameter. As D increases, these <---
tori change from buckling to an energetically stable state. <---
The stable tori are perfect circular in both toroidal and <---
tubular geometry with strain < 0.03 eV/atom when D > 10, 20
and 40 nm for torus (5,5), (8,8) and (10,10). Polygonal
tori, whose strain is proportional to the number of defects
and 1/D, are energetically stable even for D < 10 nm.
However, their strain is higher than that of perfect
circular tori. In addition, the local maxium strain of
polygonal tori is much higher than that of perfect circulat
tori. It is ~0.03 eV/atom or less for perfect circular torus
(5,5), but 0.13 and 0.21 eV/atom for polygonal tori
(6,4)/(5,5) and (7,3)/(5,5). Therefore, we conclude that the
circular tori with no topological defects are more
energetically stable and kinetically accessible than the
polygonal tori containing the pentagon-heptagon defects for
the laser-grown SWNTs and Fullerene crop circles."

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