The Cambridge Cluster Database

Lowest minima located for the Thomson problem

on constant mean curvature surfaces

H. Kusumaatmaja and D.J. Wales

Phys. Rev. Lett., 110, 165502 (2013).

We study a family of catenoids with different values of the waist parameter c, and adjust the height parameter z_m so that the radius of the catenoid at z_m, c cosh(z_m/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.

$N$	Catenoid Waist Radius	Energy	Voronoi Image	xyz coordinates
200	0.4	310.1840282232	0.40.200.gif	0.40.200.xyz
200	0.5	298.9844521195	0.50.200.gif	0.50.200.xyz
200	0.525	297.3429974210	0.525.200.gif	0.525.200.xyz
200	0.55	296.5580640382	0.55.200.gif	0.55.200.xyz
200	0.575	296.8748662833	0.575.200.gif	0.575.200.xyz
200	0.6	298.3923892628	0.60.200.gif	0.60.200.xyz
200	0.7	314.8179205095	0.70.200.gif	0.70.200.xyz
200	0.8	365.9623745284	0.80.200.gif	0.80.200.xyz
250	0.4	589.6974548017	0.40.250.gif	0.40.250.xyz
250	0.5	569.2970178471	0.50.250.gif	0.50.250.xyz
250	0.525	566.6214502325	0.525.250.gif	0.525.250.xyz
250	0.55	565.2960344127	0.55.250.gif	0.55.250.xyz
250	0.575	565.8026826038	0.575.250.gif	0.575.250.xyz
250	0.6	568.2940115469	0.60.250.gif	0.60.250.xyz
250	0.7	598.3301087872	0.70.250.gif	0.70.250.xyz
250	0.8	690.0182235714	0.80.250.gif	0.80.250.xyz
300	0.4	978.1011161716	0.40.300.gif	0.40.300.xyz
300	0.5	945.1600518684	0.50.300.gif	0.50.300.xyz
300	0.525	940.8172375342	0.525.300.gif	0.525.300.xyz
300	0.55	939.0740287443	0.55.300.gif	0.55.300.xyz
300	0.575	940.0877599738	0.575.300.gif	0.575.300.xyz
300	0.6	944.2628706056	0.60.300.gif	0.60.300.xyz
300	0.7	992.4317820413	0.70.300.gif	0.70.300.xyz
300	0.8	1139.1159969727	0.80.300.gif	0.80.300.xyz
325	0.4	1215.6605216986	0.40.325.gif	0.40.325.xyz
325	0.5	1174.6234531945	0.50.325.gif	0.50.325.xyz
325	0.525	1170.5232332801	0.525.325.gif	0.525.325.xyz
325	0.55	1168.6776417526	0.55.325.gif	0.55.325.xyz
325	0.575	1169.0344760119	0.575.325.gif	0.575.325.xyz
325	0.6	1172.7712686720	0.60.325.gif	0.60.325.xyz
325	0.625	1180.8707291936	0.625.325.gif	0.625.325.xyz
325	0.65	1193.8416003371	0.65.325.gif	0.65.325.xyz
325	0.7	1232.3990624878	0.70.325.gif	0.70.325.xyz
325	0.8	1411.0813958049	0.80.325.gif	0.80.325.xyz
340	0.4	1372.2505964905	0.40.340.gif	0.40.340.xyz
340	0.5	1326.2064561462	0.50.340.gif	0.50.340.xyz
340	0.525	1321.0470761887	0.525.340.gif	0.525.340.xyz
340	0.55	1319.2455674904	0.55.340.gif	0.55.340.xyz
340	0.575	1320.9961624419	0.575.340.gif	0.575.340.xyz
340	0.6	1324.8948948968	0.60.340.gif	0.60.340.xyz
340	0.625	1333.1747377458	0.625.340.gif	0.625.340.xyz
340	0.7	1392.1467160449	0.70.340.gif	0.70.340.xyz
340	0.8	1591.5959377868	0.80.340.gif	0.80.340.xyz
350	0.4	1482.5142453843	0.40.350.gif	0.40.350.xyz
350	0.5	1433.5696499242	0.50.350.gif	0.50.350.xyz
350	0.525	1427.6816442941	0.525.350.gif	0.525.350.xyz
350	0.55	1425.3565655534	0.55.350.gif	0.55.350.xyz
350	0.575	1427.1543633480	0.575.350.gif	0.575.350.xyz
350	0.6	1432.6782438599	0.60.350.gif	0.60.350.xyz
350	0.625	1441.0756148463	0.625.350.gif	0.625.350.xyz
350	0.65	1455.2637289808	0.65.350.gif	0.65.350.xyz
350	0.7	1505.1815697812	0.70.350.gif	0.70.350.xyz
350	0.8	1719.6074294923	0.80.350.gif	0.80.350.xyz
360	0.4	1597.8502159301	0.40.360.gif	0.40.360.xyz
360	0.5	1545.4991827993	0.50.360.gif	0.50.360.xyz
360	0.525	1539.4580014841	0.525.360.gif	0.525.360.xyz
360	0.55	1536.5398952011	0.55.360.gif	0.55.360.xyz
360	0.575	1537.8536450551	0.575.360.gif	0.575.360.xyz
360	0.6	1544.2274166233	0.60.360.gif	0.60.360.xyz
360	0.625	1554.2635749919	0.625.360.gif	0.625.360.xyz
360	0.7	1620.8810253338	0.70.360.gif	0.70.360.xyz
360	0.8	1852.8202382723	0.80.360.gif	0.80.360.xyz
375	0.4	1780.3276763691	0.40.375.gif	0.40.375.xyz
375	0.5	1722.2476495635	0.50.375.gif	0.50.375.xyz
375	0.525	1715.7448966261	0.525.375.gif	0.525.375.xyz
375	0.55	1712.7108300767	0.55.375.gif	0.55.375.xyz
375	0.575	1713.5334743002	0.575.375.gif	0.575.375.xyz
375	0.6	1719.8507388565	0.60.375.gif	0.60.375.xyz
375	0.625	1732.0404992798	0.625.375.gif	0.625.375.xyz
375	0.65	1749.1326544803	0.65.375.gif	0.65.375.xyz
375	0.7	1804.4871267995	0.70.375.gif	0.70.375.xyz
375	0.8	2060.4375911209	0.80.375.gif	0.80.375.xyz
400	0.4	2108.8244109929	0.40.400.gif	0.40.400.xyz
400	0.5	2040.5781353982	0.50.400.gif	0.50.400.xyz
400	0.525	2032.8982276200	0.525.400.gif	0.525.400.xyz
400	0.55	2030.2903592698	0.55.400.gif	0.55.400.xyz
400	0.575	2032.1885031903	0.575.400.gif	0.575.400.xyz
400	0.6	2038.1631306315	0.60.400.gif	0.60.400.xyz
400	0.625	2051.0557983980	0.625.400.gif	0.625.400.xyz
400	0.7	2137.5514675269	0.70.400.gif	0.70.400.xyz
400	0.8	2435.2613990312	0.80.400.gif	0.80.400.xyz
450	0.4	2861.7886392029	0.40.450.gif	0.40.450.xyz
450	0.5	2771.1611059660	0.50.450.gif	0.50.450.xyz
450	0.525	2761.2981958223	0.525.450.gif	0.525.450.xyz
450	0.55	2757.0963312529	0.55.450.gif	0.55.450.xyz
450	0.575	2758.5735485158	0.575.450.gif	0.575.450.xyz
450	0.6	2767.6595291897	0.60.450.gif	0.60.450.xyz
450	0.7	2899.9808416481	0.70.450.gif	0.70.450.xyz
450	0.8	3298.4191791529	0.80.450.gif	0.80.450.xyz
500	0.4	3745.1871683800	0.40.500.gif	0.40.500.xyz
500	0.5	3628.8900201337	0.50.500.gif	0.50.500.xyz
500	0.525	3615.9331131675	0.525.500.gif	0.525.500.xyz
500	0.55	3609.7382782770	0.55.500.gif	0.55.500.xyz
500	0.575	3612.3707237274	0.575.500.gif	0.575.500.xyz
500	0.6	3625.7108031839	0.60.500.gif	0.60.500.xyz
500	0.7	3797.3088467369	0.70.500.gif	0.70.500.xyz
500	0.8	4303.1024464806	0.80.500.gif	0.80.500.xyz
550	0.4	4762.6309446034	0.40.550.gif	0.40.550.xyz
550	0.5	4616.7981295410	0.50.550.gif	0.50.550.xyz
550	0.525	4600.1780500792	0.525.550.gif	0.525.550.xyz
550	0.55	4593.3641571444	0.55.550.gif	0.55.550.xyz
550	0.575	4597.8720316505	0.575.550.gif	0.575.550.xyz
550	0.6	4612.1681607311	0.60.550.gif	0.60.550.xyz
550	0.7	4824.9876536970	0.70.550.gif	0.70.550.xyz
550	0.8	5463.5477761936	0.80.550.gif	0.80.550.xyz
600	0.4	5916.7537164376	0.40.600.gif	0.40.600.xyz
600	0.5	5738.1130727151	0.50.600.gif	0.50.600.xyz
600	0.525	5718.1547773799	0.525.600.gif	0.525.600.xyz
600	0.55	5709.9161373612	0.55.600.gif	0.55.600.xyz
600	0.575	5713.6553066387	0.575.600.gif	0.575.600.xyz
600	0.6	5731.6982124241	0.60.600.gif	0.60.600.xyz
600	0.7	5994.8063773555	0.70.600.gif	0.70.600.xyz
600	0.8	6773.5652411633	0.80.600.gif	0.80.600.xyz

In addition, we also study the arrangement of charges on unduloids. See the paper for our parameterizations of the unduloids.

$N$	Unduloid [a, c]	Energy	Voronoi Image	xyz coordinates
200	[0.50, 885.89]	169.8434357915	U0.50.200.gif	U0.50.200.xyz
200	[0.55, 55.99]	194.5944427479	U0.55.200.gif	U0.55.200.xyz
200	[0.60, 8.75]	245.4875647822	U0.60.200.gif	U0.60.200.xyz
200	[0.65, 3.38]	295.7423974997	U0.65.200.gif	U0.65.200.xyz
200	[0.70, 1.57]	337.2589134197	U0.70.200.gif	U0.70.200.xyz
200	[0.75, 0.75]	362.1259920218	U0.75.200.gif	U0.75.200.xyz
200	[0.4993, 0.775]	366.8859711826	U0.775.200.gif	U0.775.200.xyz
200	[0.311, 0.80]	365.4230038825	U0.80.200.gif	U0.80.200.xyz
200	[0.2345, 0.8125]	362.5749977393	U0.8125.200.gif	U0.8125.200.xyz
200	[0.1674, 0.825]	358.4004545605	U0.825.200.gif	U0.825.200.xyz
200	[0.1085, 0.8375]	352.5050273826	U0.8375.200.gif	U0.8375.200.xyz
200	[0.06, 0.85]	343.9854237477	U0.85.200.gif	U0.85.200.xyz
400	[0.50, 885.89]	1271.8640799533	U0.50.400.gif	U0.50.400.xyz
400	[0.55, 55.99]	1422.8910383377	U0.55.400.gif	U0.55.400.xyz
400	[0.60, 8.75]	1726.3997005679	U0.60.400.gif	U0.60.400.xyz
400	[0.65, 3.38]	2015.1559015921	U0.65.400.gif	U0.65.400.xyz
400	[0.70, 1.57]	2240.6729134395	U0.70.400.gif	U0.70.400.xyz
400	[0.75, 0.75]	2366.5731636666	U0.75.400.gif	U0.75.400.xyz
400	[0.311, 0.80]	2366.1792735346	U0.80.400.gif	U0.80.400.xyz
400	[0.06, 0.85]	2214.6385787794	U0.85.400.gif	U0.85.400.xyz
600	[0.50, 885.89]	3712.3503222968	U0.50.600.gif	U0.50.600.xyz
600	[0.55, 55.99]	4111.8992007510	U0.55.600.gif	U0.55.600.xyz
600	[0.60, 8.75]	4912.9418541828	U0.60.600.gif	U0.60.600.xyz
600	[0.65, 3.38]	5656.1536032285	U0.65.600.gif	U0.65.600.xyz
600	[0.70, 1.57]	6234.0347245611	U0.70.600.gif	U0.70.600.xyz
600	[0.75, 0.75]	6542.1715280859	U0.75.600.gif	U0.75.600.xyz
600	[0.311, 0.80]	6515.8794633966	U0.80.600.gif	U0.80.600.xyz
600	[0.06, 0.85]	6095.8807359193	U0.85.600.gif	U0.85.600.xyz