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  • Sutton-Chen Clusters
    • The Sutton-Chen family of potentials can be used to model a variety of transition metal clusters. The 12-6 potential models silver and rhodium, the 9-6 potential nickel and copper, and the 10-8 potential gold and platinum. For these three potentials we have attempted to find the global minima of all clusters with up to 80 atoms have been found.

        Points files for each minimum are accessible from the Tables.

      The work described on the above pages can be found in the following paper:

      • J.P.K. Doye and D.J. Wales, New J. Chem., 22, 733-744 (1998)

      • Global minima for transition metal clusters described by Sutton-Chen potentials

      If you can improve on any of the results given in these pages email us, and I will update the database.

      Sutton-Chen 12-6 Clusters: Table of Global Minima

      Global minima for Sutton-Chen 12-6 clusters with N<80. For each minimum the energy and point group are given and a structural assignment made if possible. The structural categories are: icosahedral with an anti-Mackay (aM) or a Mackay overlayer (M); decahedral with n atoms along the decahedral axis (dn); close-packed fcc (f), hcp (h), or involving a mixture of stacking sequences and twin planes (c); and clusters involving disclination lines (dis). Click on a label to access the points file for the structure in Cartesian coordinates. The unit of distance is the latttice constant, a. The first line contains the values of the parameters in the Sutton-Chen potential e, c, a, n and m.

      pic/SC/1.gjf

      Alternatively, click here to access a tar file containing all the points.

      N Energy/e PG     N Energy/e PG  
      3 -1704.6905 D3h     42 -39301.6696 Cs M
      4 -2601.8447 Td     43 -40341.8543 Cs M
      5 -3461.3452 D3h     44 -41310.9157 C1 M
      6 -4378.8875 Oh     45 -42345.0912 Cs d4
      7 -5271.2947 D5h     46 -43436.2827 C2v M
      8 -6129.7564 D2d     47 -44405.1884 C1 M
      9 -7048.7552 C2v     48 -45470.1069 C2v d4
      10 -7972.0971 C3v     49 -46521.2131 C3v M
      11 -8889.9627 C2v     50 -47518.6719 D3h c
      12 -9871.2458 C5v     51 -48522.4267 C2v M
      13 -10968.5082 Ih M   52 -49616.1377 C3v M
      14 -11798.8479 C3v aM   53 -50706.4665 C2v M
      15 -12742.9841 C2v aM   54 -51796.0777 C5v M
      16 -13672.6475 Cs aM   55 -52884.6806 Ih M
      17 -14606.3231 C2 aM   56 -53756.6516 C3v M
      18 -15535.3810 Cs aM   57 -54700.1733 Cs aM
      19 -16595.0561 D5h aM   58 -55753.8515 C3v aM
      20 -17510.9209 C2v aM   59 -56751.4572 Td c
      21 -18433.0300 C1 aM   60 -57763.6760 Cs aM
      22 -19422.7209 Cs     61 -58809.0448 C2v aM
      23 -20383.3977 D3h     62 -59765.2180 C2v aM
      24 -21315.4208 C2v h   63 -60822.3826 Cs d5
      25 -22339.6319 C3v d3   64 -61925.6244 C2v d5
      26 -23337.2211 D3h h   65 -62903.7387 C2v d5
      27 -24284.3891 Cs h   66 -63959.3105 Cs d5
      28 -25276.9501 C3v M   67 -65011.2767 C2v d5
      29 -26263.2779 C2v d4   68 -65980.5983 C3v c
      30 -27253.8536 C2v d3   69 -67020.4042 C1 d5
      31 -28274.4371 C2v d4   70 -68114.9462 Cs d5
      32 -29265.3320 C2v M   71 -69216.6518 C2v d5
      33 -30274.9603 C2v d4   72 -70171.4663 C1 d5
      34 -31231.7697 C2v c   73 -71225.8547 C2v d5
      35 -32280.3945 C2v d4   74 -72318.7243 C5v d5
      36 -33253.9352 Cs M   75 -73421.0521 D5h d5
      37 -34302.6067 C3v c   76 -74375.6975 Cs d5
      38 -35419.9804 Oh f   77 -75430.9852 C2v d5
      39 -36364.8587 C4v f   78 -76385.4318 C1 d5
      40 -37324.3708 Cs M   79 -77456.0255 D3h c
      41 -38316.5698 Cs c   80 -78414.6271 Cs c
Sutton-Chen 9-6 Clusters: Table of Global Minima

Alternatively, click here to access a tar file containing all the points.

N Energy/e PG     N Energy/e PG  
3 -480.8560 D3h     42 -9892.1913 Cs  
4 -709.5396 Td     43 -10140.5484 Cs  
5 -929.7341 D3h     44 -10391.3783 C2  
6 -1163.9640 Oh     45 -10642.7040 Cs d4
7 -1388.5116 D5h     46 -10900.4123 C2v M
8 -1611.8509 D2d     47 -11145.6538 C1 M
9 -1839.9790 C2v     48 -11411.4049 C2v d4
10 -2072.2436 C3v     49 -11662.0840 C3v M
11 -2302.4939 C2v     50 -11920.7434 D3h c
12 -2543.1611 C5v     51 -12160.5960 Cs c
13 -2808.5765 Ih M   52 -12424.6351 C2v M
14 -3023.9716 C3v aM   53 -12689.2438 C2v M
15 -3267.5300 D6d dis   54 -12953.6990 C5v M
16 -3505.2600 Cs     55 -13217.8963 Ih i
17 -3742.6166 C2v     56 -13445.8961 Cs  
18 -3978.1268 C2v     57 -13684.1489 Cs  
19 -4221.3539 D5h aM   58 -13943.4015 D3h d4
20 -4455.5507 C2v aM   59 -14202.4032 Td c
21 -4700.7823 C1     60 -14445.8412 C2v d5
22 -4949.3235 Cs     61 -14703.3954 C3v c
23 -5191.4317 C2     62 -14951.2644 Cs  
24 -5427.4229 C2     63 -15213.6371 C2v  
25 -5670.7723 C3     64 -15480.8530 C2v d5
26 -5920.3488 D3h h   65 -15724.8185 C2v d5
27 -6165.3671 Cs     66 -15985.0232 Cs d5
28 -6411.2387 C1     67 -16244.0284 C2v d5
29 -6654.0358 C2     68 -16490.5019 C3v c
30 -6903.2657 Cs     69 -16744.2741 C2v d5
31 -7153.4410 C3     70 -17012.0775 Cs d5
32 -7400.8234 D2d     71 -17279.8708 C2v d5
33 -7644.6441 Cs d4   72 -17520.4788 C1 d5
34 -7889.3674 C2     73 -17779.2971 Cs d5
35 -8147.0475 D3     74 -18047.0929 C5v d5
36 -8392.4962 C2v     75 -18315.1577 D5h d5
37 -8646.8835 C3v c   76 -18554.6196 C2v d5
38 -8917.7056 Oh f   77 -18814.0659 C2v d5
39 -9156.5715 C4v f   78 -19054.3977 Cs d5
40 -9397.0850 Cs     79 -19321.0094 D3h c
41 -9643.6606 Cs c   80 -19560.8966 Cs c

Sutton-Chen 10-8 Clusters: Table of Global Minima

Alternatively, click here to access a tar file containing all the points.

N Energy/e PG     N Energy/e PG  
3 -480.8560 D3h     42 -9892.1913 Cs  
4 -709.5396 Td     43 -10140.5484 Cs  
5 -929.7341 D3h     44 -10391.3783 C2  
6 -1163.9640 Oh     45 -10642.7040 Cs d4
7 -1388.5116 D5h     46 -10900.4123 C2v M
8 -1611.8509 D2d     47 -11145.6538 C1 M
9 -1839.9790 C2v     48 -11411.4049 C2v d4
10 -2072.2436 C3v     49 -11662.0840 C3v M
11 -2302.4939 C2v     50 -11920.7434 D3h c
12 -2543.1611 C5v     51 -12160.5960 Cs c
13 -2808.5765 Ih M   52 -12424.6351 C2v M
14 -3023.9716 C3v aM   53 -12689.2438 C2v M
15 -3267.5300 D6d dis   54 -12953.6990 C5v M
16 -3505.2600 Cs     55 -13217.8963 Ih i
17 -3742.6166 C2v     56 -13445.8961 Cs  
18 -3978.1268 C2v     57 -13684.1489 Cs  
19 -4221.3539 D5h aM   58 -13943.4015 D3h d4
20 -4455.5507 C2v aM   59 -14202.4032 Td c
21 -4700.7823 C1     60 -14445.8412 C2v d5
22 -4949.3235 Cs     61 -14703.3954 C3v c
23 -5191.4317 C2     62 -14951.2644 Cs  
24 -5427.4229 C2     63 -15213.6371 C2v  
25 -5670.7723 C3     64 -15480.8530 C2v d5
26 -5920.3488 D3h h   65 -15724.8185 C2v d5
27 -6165.3671 Cs     66 -15985.0232 Cs d5
28 -6411.2387 C1     67 -16244.0284 C2v d5
29 -6654.0358 C2     68 -16490.5019 C3v c
30 -6903.2657 Cs     69 -16744.2741 C2v d5
31 -7153.4410 C3     70 -17012.0775 Cs d5
32 -7400.8234 D2d     71 -17279.8708 C2v d5
33 -7644.6441 Cs d4   72 -17520.4788 C1 d5
34 -7889.3674 C2     73 -17779.2971 Cs d5
35 -8147.0475 D3     74 -18047.0929 C5v d5
36 -8392.4962 C2v     75 -18315.1577 D5h d5
37 -8646.8835 C3v c   76 -18554.6196 C2v d5
38 -8917.7056 Oh f   77 -18814.0659 C2v d5
39 -9156.5715 C4v f   78 -19054.3977 Cs d5
40 -9397.0850 Cs     79 -19321.0094 D3h c
41 -9643.6606 Cs c   80 -19560.8966 Cs c
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