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N5Nb4_87

Solved Structure

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Energy-R2 Fit

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Energy-R2 fit plot for N5Nb4_87

Run Summary

FormulaN5Nb4
Crystal Systemtetragonal
Input SG87
Solved SG87
R20.9984
Chi20.0228
Rwp/Wr3.9782
Statusaccepted
Valid Structures12
Candidates42
Total Time12m 38.5s
Search Details
Phase 1 SGs160
Phase 2 Pairs42
Refined Structures4
Refine Failures0

Reached maximum structure limit and Stop further generation.

Log Preview
Phase 1 — rank 142/160: spg=46 | Found 36 cell(s): vol=208.1–1458.3 ų
Phase 1 — rank 143/160: spg=54 | Found 47 cell(s): vol=416.2–1280.6 ų
Phase 1 — rank 144/160: spg=61 | Found 42 cell(s): vol=416.2–1280.6 ų
Phase 1 — rank 145/160: spg=38 | Found 51 cell(s): vol=320.1–1280.6 ų
Phase 1 — rank 146/160: spg=40 | Found 36 cell(s): vol=320.1–1280.6 ų
Phase 1 — rank 147/160: spg=39 | Found 31 cell(s): vol=416.2–1280.6 ų
Phase 1 — rank 148/160: spg=65 | Found 49 cell(s): vol=320.1–1280.6 ų
Phase 1 — rank 149/160: spg=35 | Found 49 cell(s): vol=320.1–1280.6 ų
Phase 1 — rank 150/160: spg=21 | Found 22 cell(s): vol=320.1–1280.6 ų
Phase 1 — rank 151/160: spg=20 | Found 26 cell(s): vol=320.1–1280.6 ų
Phase 1 — rank 152/160: spg=41 | Found 22 cell(s): vol=416.2–1280.6 ų
Phase 1 — rank 153/160: spg=67 | Found 31 cell(s): vol=416.2–1280.6 ų
Phase 1 — rank 154/160: spg=63 | Found 34 cell(s): vol=320.1–1280.6 ų
Phase 1 — rank 155/160: spg=36 | Found 34 cell(s): vol=320.1–1280.6 ų
Phase 1 — rank 156/160: spg=66 | Found 24 cell(s): vol=416.2–1280.6 ų
Phase 1 — rank 157/160: spg=37 | Found 24 cell(s): vol=416.2–1280.6 ų
Phase 1 — rank 158/160: spg=64 | Found 22 cell(s): vol=416.2–1280.6 ų
Phase 1 — rank 159/160: spg=68 | Found 18 cell(s): vol=416.2–1280.6 ų
Phase 1 — rank 160/160: spg=69 | Found 15 cell(s): vol=416.2–1280.6 ų
Phase 2: ranked 42 (cell, SPG) pair(s) from 160 seed SPG candidates. Volume range: 208.0–832.1 ų | Total candidates: 42
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     139   208.0       0.0001   12        2        0.008        6.937     4.323
2     1     87    208.0       0.0001   24        2        0.012        6.937     4.323
3     1     64    416.2       0.0001   44        2        0.020        9.813     9.811     4.323
4     1     64    416.2       0.0001   44        2        0.020        9.813     4.323     9.811
5     1     64    416.2       0.0001   44        2        0.020        4.323     9.813     9.811
6     1     63    416.2       0.0001   47        2        0.020        9.813     4.323     9.811
7     1     63    416.2       0.0001   57        2        0.022        9.813     9.811     4.323
8     1     137   208.0       0.0001   16        17       0.024        6.937     4.323
9     1     63    416.2       0.0001   72        2        0.025        4.323     9.813     9.811
10    1     55    416.2       0.0001   104       2        0.030        9.813     4.323     9.811
11    1     55    416.2       0.0001   104       2        0.030        4.323     9.813     9.811
12    1     62    416.2       0.0001   105       2        0.031        9.813     9.811     4.323
13    1     62    416.2       0.0001   105       2        0.031        4.323     9.813     9.811
14    1     36    416.2       0.0001   117       2        0.032        9.813     9.811     4.323
15    1     36    416.2       0.0001   117       2        0.032        9.813     4.323     9.811
16    1     62    416.2       0.0001   120       2        0.033        9.813     4.323     9.811
17    1     55    416.2       0.0001   144       2        0.036        9.813     9.811     4.323
18    1     36    416.2       0.0001   162       2        0.038        4.323     9.813     9.811
19    1     116   416.1       0.0001   65        26       0.086        9.811     4.323
20    1     116   416.1       0.0001   70        27       0.087        6.937     8.646
21    1     109   832.1       0.0001   153       13       0.093        9.811     8.645
22    1     92    416.1       0.0001   86        27       0.097        6.937     8.646
23    1     63    320.1       0.0076   57        11       0.239        6.650     9.811     4.906
24    1     36    320.1       0.0076   117       11       0.343        6.650     9.811     4.906
25    1     55    320.1       0.0076   120       14       0.388        9.811     6.650     4.906
26    1     55    320.1       0.0076   120       14       0.388        6.650     9.811     4.906
27    1     62    320.1       0.0076   96        28       0.483        4.906     6.650     9.811
28    1     62    320.1       0.0076   102       29       0.506        9.811     4.906     6.650
29    1     116   515.0       0.0305   80        14       0.700       14.719     2.377
30    1     55    359.6       0.0921   88        11       0.853        2.487     9.821    14.719
31    1     55    359.6       0.0921   88        11       0.853        9.821     2.487    14.719
32    1     62    359.6       0.0921   108       10       0.905        9.821    14.719     2.487
33    1     55    319.6       0.1516   88        11       0.982        9.813     2.216    14.694
34    1     55    319.6       0.1516   88        11       0.982        2.216     9.813    14.694
35    1     62    357.5       0.0512   144       17       1.054       14.643     2.488     9.813
36    1     62    319.6       0.1496   108       11       1.082        9.813    14.694     2.216
37    1     62    544.8       0.0406   120       21       1.196        4.905    22.071     5.033
38    1     62    544.8       0.0321   174       21       1.311       22.071     4.905     5.033
39    1     62    319.6       0.0881   144       21       1.369       14.694     2.216     9.813
40    1     62    544.8       0.0289   171       30       1.480        4.905     5.033    22.071
41    1     55    544.8       0.0321   216       22       1.494       22.071     5.033     4.905
42    1     55    544.8       0.0321   216       22       1.494        5.033    22.071     4.905


[Pair 1/42] vol=208.0 ų, spg=139, dims=   6.937     4.323: 1 WP choices.
WP #1: spg=139, count=1, dof=2, n_wps=3, wyckoff=[['8h', '2a'], ['8i']]
ID  1-3: * 18   4  139 I4/mmm         7.05 8h 2a 8i ,  vol=208.0 ų 0.686, -9.053, 0.007, 0.067
ID  2-8: * 18   4  139 I4/mmm         7.05 8h 2a 8i ,  vol=208.0 ų 0.686, -9.053, 0.007, 0.067

[Pair 2/42] vol=208.0 ų, spg=87, dims=   6.937     4.323: 1 WP choices.
WP #1: spg=87, count=3, dof=4, n_wps=3, wyckoff=[['8h', '2b'], ['8h']]
ID  3-3: * 18   6   87 I4/m           7.05 8h 2b 8h ,  vol=208.0 ų 0.648, -8.423, 0.179, 0.044
ID  4-10: * 18   6   87 I4/m           7.05 8h 2b 8h ,  vol=208.0 ų 0.533, -7.554, 0.240, 0.018
ID  5-11: * 18   6   87 I4/m           7.05 8h 2b 8h ,  vol=208.0 ų 0.649, -8.423, 0.180, 0.074
ID  6-12: * 18   6   87 I4/m           7.05 8h 2b 8h ,  vol=208.0 ų 0.912, -8.588, 0.020, 0.089 11.294,  0.987,  0.184, -3.1, 21.5s
ID  7-13: * 18   6   87 I4/m           7.05 8h 2b 8h ,  vol=208.0 ų 0.983, -10.048, 0.001, 0.080  4.118,  0.998,  0.024, -0.2, 2.3s [best-energy-ok]
ID  8-18: * 18   6   87 I4/m           7.05 8h 2b 8h ,  vol=208.0 ų 0.456, -8.762, 0.169, 0.080
ID  9-19: * 18   6   87 I4/m           7.05 8h 2b 8h ,  vol=208.0 ų 0.655, -8.124, 0.158, 0.044
ID 10-20: * 18   6   87 I4/m           7.05 8h 2b 8h ,  vol=208.0 ų 0.983, -10.048, 0.000, 0.062  3.978,  0.998,  0.023, -0.1, 2.6s [best-energy-ok]
ID 11-22: * 18   6   87 I4/m           7.05 8h 2b 8h ,  vol=208.0 ų 0.883, -8.702, 0.259, 0.081  3.877,  0.998,  0.022, -0.1, 9.5s
ID 12-24: * 18   6   87 I4/m           7.05 8h 2b 8h ,  vol=208.0 ų 0.508, -7.864, 0.018, 0.077
Metrics: Wr=3.9782, R2=0.9984, Chi2=0.0228, score=-0.0983, accepted=True, E=-10.0484, dE=0.0000
Early stop: excellent solution found.

Final refinement results: Wr=3.9782, R2=0.9984, Chi2=0.0228
Best structure saved to 0510/cifs/Match_N5Nb4_87.cif
Accepted solution: spg=87, Wr=3.9782, R2=0.9984, Chi2=0.0228, score=-0.0983, E=-10.0484, dE=0.0000, 
Good fit found early: spg=87, R2=0.9984, Chi2=0.0228, dE_global=0.0000. Stopping search after pair 2/42 and 1 WP candidate(s).
Reached maximum structure limit and Stop further generation.
Timing breakdown:
  1) SPG + cell inference: 9m 55.7s
  2) Structure inference: 2m 42.9s
  Total: 12m 38.5s
Best solution: spg=87, Wr=3.9782, R2=0.9984, Chi2=0.0228, score=-0.0983, E=-10.0484, dE=0.0000, 
Return best result in spg=87.
Best inferred-SG score observed: -0.0983