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Database |
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Lowest minima located for the Thomson problem
Lowest minima located for the Thomson problem
on constant mean curvature surfaces
H. Kusumaatmaja and D.J. Wales
Phys. Rev. Lett., in press (2013).
We study a family of catenoids with different values of the waist parameter c, and adjust the height parameter zm so that the radius of the catenoid at zm, c cosh(zm/c) = 1.
{x, y, z} = {c cosh(v/c) cos(u), c cosh(v/c) sin(u), v}. See the above paper for more details.
In addition, we also study the arrangement of charges on unduloids. See the paper for our parameterizations of the unduloids.
|
Unduloid [a, c] |
Energy |
Voronoi Image |
xyz coordinates |
|
200 |
[0.50, 885.89] |
169.8434357915 |
|
U0.50.200.xyz |
200 |
[0.55, 55.99] |
194.5944427479 |
|
U0.55.200.xyz |
200 |
[0.60, 8.75] |
245.4875647822 |
|
U0.60.200.xyz |
200 |
[0.65, 3.38] |
295.7423974997 |
|
U0.65.200.xyz |
200 |
[0.70, 1.57] |
337.2589134197 |
|
U0.70.200.xyz |
200 |
[0.75, 0.75] |
362.1259920218 |
|
U0.75.200.xyz |
200 |
[0.4993, 0.775] |
366.8859711826 |
|
U0.775.200.xyz |
200 |
[0.311, 0.80] |
365.4230038825 |
|
U0.80.200.xyz |
200 |
[0.2345, 0.8125] |
362.5749977393 |
|
U0.8125.200.xyz |
200 |
[0.1674, 0.825] |
358.4004545605 |
|
U0.825.200.xyz |
200 |
[0.1085, 0.8375] |
352.5050273826 |
|
U0.8375.200.xyz |
200 |
[0.06, 0.85] |
343.9854237477 |
|
U0.85.200.xyz |
|
400 |
[0.50, 885.89] |
1271.8640799533 |
|
U0.50.400.xyz |
400 |
[0.55, 55.99] |
1422.8910383377 |
|
U0.55.400.xyz |
400 |
[0.60, 8.75] |
1726.3997005679 |
|
U0.60.400.xyz |
400 |
[0.65, 3.38] |
2015.1559015921 |
|
U0.65.400.xyz |
400 |
[0.70, 1.57] |
2240.6729134395 |
|
U0.70.400.xyz |
400 |
[0.75, 0.75] |
2366.5731636666 |
|
U0.75.400.xyz |
400 |
[0.311, 0.80] |
2366.1792735346 |
|
U0.80.400.xyz |
400 |
[0.06, 0.85] |
2214.6385787794 |
|
U0.85.400.xyz |
|
600 |
[0.50, 885.89] |
3712.3503222968 |
|
U0.50.600.xyz |
600 |
[0.55, 55.99] |
4111.8992007510 |
|
U0.55.600.xyz |
600 |
[0.60, 8.75] |
4912.9418541828 |
|
U0.60.600.xyz |
600 |
[0.65, 3.38] |
5656.1536032285 |
|
U0.65.600.xyz |
600 |
[0.70, 1.57] |
6234.0347245611 |
|
U0.70.600.xyz |
600 |
[0.75, 0.75] |
6542.1715280859 |
|
U0.75.600.xyz |
600 |
[0.311, 0.80] |
6515.8794633966 |
|
U0.80.600.xyz |
600 |
[0.06, 0.85] |
6095.8807359193 |
|
U0.85.600.xyz |
|
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