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Hf4N3_139

Solved Structure

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Energy-R2 Fit

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Energy-R2 fit plot for Hf4N3_139

Run Summary

FormulaHf4N3
Crystal Systemtetragonal
Input SG139
Solved SG121
R20.9878
Chi20.1192
Rwp/Wr10.9603
Statusaccepted
Valid Structures10
Candidates61
Total Time6m 13.5s
Search Details
Phase 1 SGs71
Phase 2 Pairs43
Refined Structures8
Refine Failures0

Reached maximum structure limit and Stop further generation.

Log Preview
Phase 1 — rank 53/71: spg=139 | Found 15 cell(s): vol=46.8–833.3 ų
Phase 1 — rank 54/71: spg=121 | Found 15 cell(s): vol=46.8–833.3 ų
Phase 1 — rank 55/71: spg=119 | Found 15 cell(s): vol=46.8–833.3 ų
Phase 1 — rank 56/71: spg=107 | Found 15 cell(s): vol=46.8–833.3 ų
Phase 1 — rank 57/71: spg=97 | Found 15 cell(s): vol=46.8–833.3 ų
Phase 1 — rank 58/71: spg=87 | Found 15 cell(s): vol=46.8–833.3 ų
Phase 1 — rank 59/71: spg=82 | Found 15 cell(s): vol=46.8–833.3 ų
Phase 1 — rank 60/71: spg=79 | Found 15 cell(s): vol=46.8–833.3 ų
Phase 1 — rank 61/71: spg=110 | Found 6 cell(s): vol=187.3–833.3 ų
Phase 1 — rank 62/71: spg=140 | Found 10 cell(s): vol=187.3–833.3 ų
Phase 1 — rank 63/71: spg=120 | Found 10 cell(s): vol=187.3–833.3 ų
Phase 1 — rank 64/71: spg=108 | Found 10 cell(s): vol=187.3–833.3 ų
Phase 1 — rank 65/71: spg=98 | Found 9 cell(s): vol=187.3–833.3 ų
Phase 1 — rank 66/71: spg=80 | Found 9 cell(s): vol=187.3–833.3 ų
Phase 1 — rank 67/71: spg=122 | Found 8 cell(s): vol=187.3–833.3 ų
Phase 1 — rank 68/71: spg=109 | Found 8 cell(s): vol=187.3–833.3 ų
Phase 1 — rank 69/71: spg=141 | Found 6 cell(s): vol=187.3–436.2 ų
Phase 1 — rank 70/71: spg=88 | Found 6 cell(s): vol=187.3–436.2 ų
Phase 1 — rank 71/71: spg=142 | Found 5 cell(s): vol=187.3–436.2 ų
Phase 2: ranked 43 (cell, SPG) pair(s) from 71 seed SPG candidates. Volume range: 142.3–610.4 ų | Total candidates: 61
Phase 2 strategy: globally rank every (cell, SPG) pair by a balanced score combining relative estimated trials and relative volume (trial_weight=0.65, volume_weight=0.35), then break ties by (fewer estimated trials, smaller volume, fewer candidates), then (symmetry, SG prediction rank, missing, chi2).

Pair  WPs   SPG   Volume(ų)  Chi2    EstTrials Missing  BalScore  Dims
--------------------------------------------------------------------------------------------------------
1     1     121   187.3       0.0001   13        11       0.021        4.532     9.121
2     1     121   234.1       0.0001   11        12       0.021        7.166     4.560
3     2     139   234.1       0.0001   16        12       0.025        7.166     4.560
4     2     139   187.3       0.0001   36        11       0.034        4.532     9.121
5     2     141   374.7       0.0001   24        17       0.049        6.409     9.121
6     1     122   374.7       0.0001   27        17       0.052        6.409     9.121
7     1     122   374.6       0.0001   30        13       0.053        4.532    18.239
8     2     141   374.6       0.0001   40        13       0.061        4.532    18.239
9     1     109   374.7       0.0001   54        17       0.074        6.409     9.121
10    1     109   374.6       0.0001   84        13       0.089        4.532    18.239
11    1     166   251.7       0.0169   9         6        0.126        9.102     3.507
12    1     194   209.4       0.0434   10        18       0.290        5.571     7.794
13    2     160   251.7       0.0169   48        6        0.290        9.102     3.507
14    2     187   142.3       0.0425   24        11       0.292        3.215    15.898
15    2     187   162.9       0.0153   40        17       0.329        5.244     6.841
16    1     176   209.4       0.0434   20        18       0.410        5.571     7.794
17    2     176   610.4       0.0005   266       20       0.441       16.020     2.747
18    2     187   209.4       0.0434   40        18       0.580        5.571     7.794
19    1     147   251.7       0.0169   66        20       0.589        9.102     3.507
20    1     187   418.5       0.0308   40        24       0.820        5.568    15.588
21    1     144   251.7       0.0169   147       20       0.880        9.102     3.507
22    1     147   270.3       0.0478   106       12       0.923        3.712    22.653
23    1     147   327.6       0.0351   72        25       1.046       10.511     3.424
24    1     147   327.4       0.0447   82        18       1.051        5.244    13.751
25    2     176   568.4       0.0042   223       26       1.053       13.682     3.506
26    2     176   571.1       0.0081   176       28       1.270        6.409    16.054
27    1     187   387.0       0.1315   40        20       1.292        5.286    15.991
28    2     176   534.3       0.0154   190       19       1.368        5.266    22.246
29    1     147   315.7       0.0971   92        17       1.452        4.561    17.528
30    1     187   348.9       0.0723   96        19       1.460       12.110     2.748
31    1     144   327.4       0.0447   161       18       1.473        5.244    13.751
32    1     144   327.6       0.0351   161       25       1.564       10.511     3.424
33    1     187   339.9       0.1956   48        26       1.763        6.282     9.948
34    1     187   390.8       0.1248   56        29       1.798        7.202     8.699
35    2     159   418.5       0.0308   260       24       2.090        5.568    15.588
36    1     147   327.0       0.1861   70        28       2.121        9.064     4.595
37    2     159   348.9       0.0723   216       19       2.190       12.110     2.748
38    1     187   352.1       0.2226   88        23       2.412       11.477     3.086
39    2     176   535.8       0.0590   234       23       2.852       14.660     2.879
40    1     144   327.0       0.1861   154       28       3.146        9.064     4.595
41    2     159   387.0       0.1315   260       20       3.294        5.286    15.991
42    2     159   339.9       0.1956   204       26       3.635        6.282     9.948
43    2     159   352.1       0.2226   212       23       3.744       11.477     3.086


[Pair 1/43] vol=187.3 ų, spg=121, dims=   4.532     9.121: 1 WP choices.
WP #1: spg=121, count=2, dof=2, n_wps=3, wyckoff=[['8i'], ['4d', '2b']]
ID  1-3: * 14   4  121 I-42m         13.40 8i 4d 2b ,  vol=187.3 ų 0.976, -10.246, 0.267, 0.034 12.078,  0.985,  0.145, -3.4, 9.6s [best-energy-ok]
ID  2-4: * 14   4  121 I-42m         13.40 8i 4d 2b ,  vol=187.3 ų 0.976, -10.246, 0.268, 0.041 11.009,  0.988,  0.120, -2.9, 2.3s [best-energy-ok]
ID  3-8: * 14   4  121 I-42m         13.40 8i 4d 2b ,  vol=187.3 ų 0.977, -10.246, 0.268, 0.043 14.935,  0.977,  0.221, -4.6, 2.5s
ID  4-11: * 14   4  121 I-42m         13.40 8i 4d 2b ,  vol=187.3 ų 0.976, -10.246, 0.268, 0.041 10.960,  0.988,  0.119, -2.9, 2.3s [best-energy-ok]
ID  5-12: * 14   4  121 I-42m         13.40 8i 4d 2b ,  vol=187.3 ų 0.976, -10.246, 0.267, 0.034 12.078,  0.985,  0.145, -3.4, 2.1s
Metrics: Wr=10.9603, R2=0.9878, Chi2=0.1192, score=-2.9262, accepted=True, E=-10.2464, dE=0.0000

Final refinement results: Wr=10.9603, R2=0.9878, Chi2=0.1192
Best structure saved to 0510/cifs/Match_Hf4N3_121.cif
Accepted solution: spg=121, Wr=10.9603, R2=0.9878, Chi2=0.1192, score=-2.9262, E=-10.2464, dE=0.0000, 
Good fit found for spg=121, but skipping early stop because only 5 structures have been explored 

[Pair 2/43] vol=234.1 ų, spg=121, dims=   7.166     4.560: 1 WP choices.
WP #1: spg=121, count=2, dof=2, n_wps=3, wyckoff=[['8i'], ['4d', '2b']]
ID  6-3: * 14   4  121 I-42m         10.72 8i 4d 2b ,  vol=234.1 ų 0.906, -8.902, 0.036, 0.055 36.687,  0.863,  1.335, -13.6, 10.4s
ID  7-4: * 14   4  121 I-42m         10.72 8i 4d 2b ,  vol=234.1 ų 0.906, -8.902, 0.036, 0.055 36.687,  0.863,  1.335, -13.6, 10.5s
ID  8-5: * 14   4  121 I-42m         10.72 8i 4d 2b ,  vol=234.1 ų 0.906, -8.902, 0.036, 0.043 36.171,  0.867,  1.298, -13.4, 10.0s
ID  9-6: * 14   4  121 I-42m         10.72 8i 4d 2b ,  vol=234.1 ų 0.306, -8.091, 0.041, 0.003
ID 10-7: * 14   4  121 I-42m         10.72 8i 4d 2b ,  vol=234.1 ų 0.306, -8.091, 0.042, 0.015
Early stop triggered after 10 local / 10 global structures; terminating current WP search.
Accepted solution found and structure budget reached (10/10); stopping search.
Reached maximum structure limit and Stop further generation.
Timing breakdown:
  1) SPG + cell inference: 4m 18.6s
  2) Structure inference: 1m 54.9s
  Total: 6m 13.5s
Best solution: spg=121, Wr=10.9603, R2=0.9878, Chi2=0.1192, score=-2.9262, E=-10.2464, dE=0.0000, 
Return best result in spg=121.
Best inferred-SG score observed: -2.9262