The Z1 and Z2 potentials both have two maxima that resemble the Friedel oscillations
that can occur for metal potentials.
Like the Dzugutov potential they have a strong tendency for icosahedral and polytetrahedral order.
More information on the lowest-energy minima that we found for these two potentials
can be accessed from the following pages:
- Pictures of the global minima: Z1 and Z2
Points files for each minimum are accessible from the Table.
The work described on the above pages can be found in the following paper:
- J.P.K. Doye, D.J. Wales, F.H.M. Zetterling and M. Dzugutov, J. Chem. Phys. 118, 2792-2799 (2003)
The favoured cluster structures of model glass formers
If you can improve on any of the results given in these pages email me,
and I will update the database.
Dzugutov Clusters: Table of Global Minima
Global minima for clusters interacting with a modified Dzugutov potential up to N=250.
For each minimum the energy and point group are given.
Click on a label to access the points file for the structure in Cartesian coordinates.
Alternatively, click here to access a tar file containing all the points.
N |
Energy |
PG |
|
N |
Energy |
PG |
|
N |
Energy |
PG |
|
N |
Energy |
PG |
3 |
-1.744402 |
D3h |
|
65 |
-155.955677 |
C1 |
|
127 |
-325.339424 |
Cs |
|
189 |
-495.942049 |
C1 |
4 |
-3.488804 |
Td |
|
66 |
-158.687752 |
Cs |
|
128 |
-328.481644 |
C1 |
|
190 |
-498.979984 |
Cs |
5 |
-5.230623 |
D3h |
|
67 |
-161.395812 |
Cs |
|
129 |
-331.624346 |
D3d |
|
191 |
-501.995425 |
C1 |
6 |
-6.972190 |
C2v |
|
68 |
-164.048584 |
Cs |
|
130 |
-334.018766 |
Cs |
|
192 |
-504.990969 |
Cs |
7 |
-9.278569 |
D5h |
|
69 |
-166.758709 |
C1 |
|
131 |
-336.411288 |
Cs |
|
193 |
-507.758670 |
Cs |
8 |
-11.019910 |
Cs |
|
70 |
-169.553149 |
C1 |
|
132 |
-338.546275 |
C1 |
|
194 |
-510.514675 |
Cs |
9 |
-13.318503 |
C2v |
|
71 |
-172.295762 |
C1 |
|
133 |
-340.992261 |
Cs |
|
195 |
-513.275944 |
Cs |
10 |
-15.594865 |
C3v |
|
72 |
-175.317810 |
Cs |
|
134 |
-343.386067 |
Cs |
|
196 |
-516.069733 |
Cs |
11 |
-17.862780 |
C2v |
|
73 |
-178.121733 |
C1 |
|
135 |
-345.725412 |
C1 |
|
197 |
-519.103811 |
Cs |
12 |
-20.635915 |
C5v |
|
74 |
-180.982763 |
Cs |
|
136 |
-347.997584 |
C1 |
|
198 |
-522.120405 |
C1 |
13 |
-24.051801 |
Ih |
|
75 |
-184.127526 |
Cs |
|
137 |
-350.766455 |
C1 |
|
199 |
-525.140946 |
Cs |
14 |
-25.764585 |
C3v |
|
76 |
-187.266699 |
D3d |
|
138 |
-353.530975 |
C1 |
|
200 |
-527.938814 |
C1 |
15 |
-28.019093 |
C2v |
|
77 |
-189.688486 |
Cs |
|
139 |
-356.286129 |
C1 |
|
201 |
-530.783661 |
C2 |
16 |
-30.249290 |
Cs |
|
78 |
-192.102920 |
C2h |
|
140 |
-359.314799 |
C1 |
|
202 |
-533.926525 |
Cs |
17 |
-32.483563 |
Cs |
|
79 |
-194.241669 |
C1 |
|
141 |
-362.361755 |
C1 |
|
203 |
-537.069482 |
D3d |
18 |
-35.147124 |
C5v |
|
80 |
-196.619379 |
Cs |
|
142 |
-365.379193 |
C1 |
|
204 |
-539.315770 |
C1 |
19 |
-38.476478 |
D5h |
|
81 |
-199.060782 |
C1 |
|
143 |
-368.178403 |
C1 |
|
205 |
-541.535988 |
C1 |
20 |
-40.589581 |
C2v |
|
82 |
-201.479005 |
C1 |
|
144 |
-371.078591 |
Cs |
|
206 |
-543.802452 |
C1 |
21 |
-42.776585 |
C1 |
|
83 |
-204.196308 |
C1 |
|
145 |
-374.194582 |
C1 |
|
207 |
-546.451246 |
C1 |
22 |
-45.304102 |
Cs |
|
84 |
-206.897985 |
C1 |
|
146 |
-377.310684 |
Cs |
|
208 |
-548.701906 |
C1 |
23 |
-48.508446 |
D3h |
|
85 |
-209.557894 |
C1 |
|
147 |
-379.563552 |
C1 |
|
209 |
-551.180158 |
C1 |
24 |
-50.577230 |
Cs |
|
86 |
-212.187622 |
C1 |
|
148 |
-382.501473 |
D3h |
|
210 |
-554.186438 |
Cs |
25 |
-52.988623 |
Cs |
|
87 |
-214.757546 |
C1 |
|
149 |
-384.883926 |
C3v |
|
211 |
-556.962163 |
C1 |
26 |
-56.096674 |
Td |
|
88 |
-217.716297 |
C1 |
|
150 |
-387.614929 |
C2v |
|
212 |
-559.731739 |
Cs |
27 |
-58.297470 |
C2v |
|
89 |
-220.520602 |
C1 |
|
151 |
-390.365274 |
C2v |
|
213 |
-562.381470 |
C1 |
28 |
-60.475145 |
Cs |
|
90 |
-223.524480 |
C2v |
|
152 |
-393.160225 |
Cs |
|
214 |
-565.313964 |
C1 |
29 |
-63.435583 |
D3h |
|
91 |
-226.323374 |
Cs |
|
153 |
-396.204035 |
C2 |
|
215 |
-568.335470 |
Cs |
30 |
-65.681600 |
C2v |
|
92 |
-229.176899 |
C2 |
|
154 |
-399.239152 |
C1 |
|
216 |
-571.189098 |
C1 |
31 |
-67.794580 |
C2 |
|
93 |
-232.313913 |
C1 |
|
155 |
-402.274562 |
C2v |
|
217 |
-574.218315 |
Cs |
32 |
-70.566450 |
C2v |
|
94 |
-235.451751 |
C2v |
|
156 |
-405.041406 |
Cs |
|
218 |
-577.149428 |
Cs |
33 |
-72.452381 |
C1 |
|
95 |
-237.878467 |
Cs |
|
157 |
-407.800188 |
C2v |
|
219 |
-580.265170 |
C3v |
34 |
-75.192937 |
D2d |
|
96 |
-240.308539 |
C2v |
|
158 |
-410.541136 |
Cs |
|
220 |
-583.001198 |
Cs |
35 |
-77.118793 |
C1 |
|
97 |
-242.517148 |
C1 |
|
159 |
-413.336692 |
Cs |
|
221 |
-586.142533 |
C3v |
36 |
-80.103943 |
C2v |
|
98 |
-244.805836 |
C1 |
|
160 |
-416.371711 |
C2 |
|
222 |
-588.366881 |
Cs |
37 |
-82.816360 |
Cs |
|
99 |
-247.234168 |
C1 |
|
161 |
-419.392898 |
C1 |
|
223 |
-590.518248 |
C1 |
38 |
-86.062572 |
D6h |
|
100 |
-249.881880 |
Cs |
|
162 |
-422.418186 |
C2v |
|
224 |
-593.227871 |
Cs |
39 |
-88.605029 |
C6v |
|
101 |
-252.621530 |
Cs |
|
163 |
-425.215226 |
Cs |
|
225 |
-596.171693 |
C1 |
40 |
-90.810887 |
D6h |
|
102 |
-255.290925 |
Cs |
|
164 |
-428.055502 |
Cs |
|
226 |
-599.209107 |
C1 |
41 |
-92.949641 |
C2v |
|
103 |
-257.529456 |
Cs |
|
165 |
-431.196530 |
Cs |
|
227 |
-602.224542 |
C1 |
42 |
-96.065006 |
C2v |
|
104 |
-260.452780 |
C1 |
|
166 |
-434.337989 |
Td |
|
228 |
-605.212512 |
C1 |
43 |
-98.556421 |
Cs |
|
105 |
-263.408170 |
C1 |
|
167 |
-436.699059 |
C3v |
|
229 |
-607.979778 |
C1 |
44 |
-100.726432 |
Cs |
|
106 |
-266.214030 |
C1 |
|
168 |
-439.052263 |
C2v |
|
230 |
-610.736427 |
C1 |
45 |
-102.895923 |
Cs |
|
107 |
-269.194381 |
Cs |
|
169 |
-441.177936 |
C2v |
|
231 |
-613.502734 |
C1 |
46 |
-106.070409 |
C2v |
|
108 |
-271.999994 |
C1 |
|
170 |
-443.722067 |
Cs |
|
232 |
-616.296965 |
C1 |
47 |
-108.514224 |
Cs |
|
109 |
-274.869147 |
Cs |
|
171 |
-446.028040 |
C1 |
|
233 |
-619.332390 |
C1 |
48 |
-110.890752 |
Cs |
|
110 |
-278.004201 |
Cs |
|
172 |
-448.448178 |
C1 |
|
234 |
-622.349813 |
C1 |
49 |
-113.527851 |
C1 |
|
111 |
-281.138054 |
C3v |
|
173 |
-451.454485 |
Cs |
|
235 |
-625.370000 |
C1 |
50 |
-116.109835 |
C1 |
|
112 |
-283.636920 |
C2h |
|
174 |
-454.229854 |
C1 |
|
236 |
-628.168597 |
C1 |
51 |
-118.908345 |
C1 |
|
113 |
-285.961400 |
C1 |
|
175 |
-456.998946 |
Cs |
|
237 |
-631.074777 |
C2v |
52 |
-121.631919 |
C1 |
|
114 |
-288.167084 |
C1 |
|
176 |
-459.634473 |
C1 |
|
238 |
-634.190226 |
Cs |
53 |
-124.620929 |
C2v |
|
115 |
-290.935392 |
C1 |
|
177 |
-462.579581 |
C1 |
|
239 |
-637.303484 |
C2v |
54 |
-127.430104 |
Cs |
|
116 |
-293.739063 |
C1 |
|
178 |
-465.605637 |
Cs |
|
240 |
-639.664725 |
Cs |
55 |
-130.257983 |
C2v |
|
117 |
-296.526750 |
C1 |
|
179 |
-468.436352 |
C1 |
|
241 |
-641.793084 |
C1 |
56 |
-133.417582 |
Cs |
|
118 |
-299.545878 |
Cs |
|
180 |
-471.457883 |
Cs |
|
242 |
-644.161788 |
C1 |
57 |
-136.584769 |
Td |
|
119 |
-302.316582 |
C1 |
|
181 |
-474.416285 |
Cs |
|
243 |
-646.686280 |
C1 |
58 |
-139.042652 |
C3v |
|
120 |
-305.084568 |
C1 |
|
182 |
-477.528650 |
C3v |
|
244 |
-648.815448 |
C1 |
59 |
-141.404086 |
C2v |
|
121 |
-307.848193 |
C1 |
|
183 |
-480.236450 |
C1 |
|
245 |
-651.654423 |
Cs |
60 |
-144.143788 |
C3v |
|
122 |
-310.619449 |
Cs |
|
184 |
-483.382667 |
D3h |
|
246 |
-654.400741 |
Cs |
61 |
-146.602408 |
C3v |
|
123 |
-313.625290 |
Cs |
|
185 |
-485.649898 |
Cs |
|
247 |
-657.001095 |
Cs |
62 |
-148.883783 |
Cs |
|
124 |
-316.671994 |
C1 |
|
186 |
-487.786110 |
C1 |
|
248 |
-659.725777 |
Cs |
63 |
-151.018937 |
Cs |
|
125 |
-319.695982 |
Cs |
|
187 |
-490.410926 |
Cs |
|
249 |
-662.539357 |
Cs |
64 |
-153.212907 |
Cs |
|
126 |
-322.494492 |
Cs |
|
188 |
-492.884737 |
Cs |
|
250 |
-665.554781 |
C1 |