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Ba3NiO4_167

Solved Structure

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Energy-R2 Fit

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Energy-R2 fit plot for Ba3NiO4_167

Run Summary

FormulaBa3NiO4
Crystal Systemtrigonal
Input SG167
Solved SG9
R20.9988
Chi20.0242
Rwp/Wr3.365
Statusaccepted
Valid Structures10
Candidates84
Total Time18m 08.3s
Search Details
Phase 1 SGs111
Phase 2 Pairs34
Refined Structures8
Refine Failures0

Reached maximum structure limit and Stop further generation.

Log Preview
Phase 1 — rank 96/111: spg=18 | Found 94 cell(s): vol=524.9–1475.4 ų
Phase 1 — rank 97/111: spg=58 | Found 88 cell(s): vol=751.0–1475.4 ų
Phase 1 — rank 98/111: spg=34 | Found 88 cell(s): vol=751.0–1475.4 ų
Phase 1 — rank 99/111: spg=52 | Found 84 cell(s): vol=835.3–1475.4 ų
Phase 1 — rank 100/111: spg=48 | Found 78 cell(s): vol=948.8–1451.1 ų
Phase 1 — rank 101/111: spg=71 | Found 54 cell(s): vol=1012.8–1451.1 ų
Phase 1 — rank 102/111: spg=44 | Found 54 cell(s): vol=1012.8–1451.1 ų
Phase 1 — rank 103/111: spg=24 | Found 9 cell(s): vol=1012.8–1451.1 ų
Phase 1 — rank 104/111: spg=23 | Found 9 cell(s): vol=1012.8–1451.1 ų
Phase 1 — rank 105/111: spg=60 | Found 73 cell(s): vol=835.3–1475.4 ų
Phase 1 — rank 106/111: spg=61 | Found 57 cell(s): vol=835.3–1475.4 ų
Phase 1 — rank 107/111: spg=15 | Found 10 cell(s): vol=485.5–1481.0 ų
Phase 1 — rank 108/111: spg=9 | Found 10 cell(s): vol=485.5–1481.0 ų
Phase 1 — rank 109/111: spg=12 | Found 21 cell(s): vol=485.5–1481.0 ų
Phase 1 — rank 110/111: spg=8 | Found 21 cell(s): vol=485.5–1481.0 ų
Phase 1 — rank 111/111: spg=5 | Found 21 cell(s): vol=485.5–1481.0 ų
Phase 2: ranked 34 (cell, SPG) pair(s) from 111 seed SPG candidates. Volume range: 461.3–1359.8 ų | Total candidates: 84
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     2     167   922.5       0.0011   28        6        0.046        7.959    16.816
2     1     9     615.2       0.0006   208       4        0.067       12.119     7.959     7.245    61.680
3     1     155   922.5       0.0011   76        6        0.076        7.959    16.816
4     1     161   922.5       0.0011   92        6        0.083        7.959    16.816
5     6     15    615.2       0.0006   444       4        0.098       12.119     7.959     7.245    61.680
6     2     5     615.2       0.0006   380       7        0.115       12.119     7.959     7.245    61.680
7     1     25    461.3       0.0014   202       27       0.194        6.891    16.822     3.980
8     1     25    461.3       0.0014   244       27       0.213        3.980    16.822     6.891
9     13    12    615.2       0.0006   1372      7        0.219       12.119     7.959     7.245    61.680
10    1     25    461.3       0.0014   284       27       0.230        3.980     6.891    16.822
11    1     9     645.6       0.0303   208       9        0.476        7.230     7.959    12.719    61.890
12    1     12    1135.5      0.0107   245       14       0.554        7.566    10.668    18.994    47.790
13    1     12    1248.1      0.0132   280       10       0.577       20.311    15.442     5.439    47.020
14    1     15    1135.5      0.0138   280       12       0.609        7.566    10.668    18.994    47.790
15    2     5     562.9       0.0325   385       10       0.652       11.486    10.668     4.694    78.160
16    1     12    1204.4      0.0153   329       10       0.653        8.844    34.219     5.422    47.220
17    6     15    645.6       0.0303   444       9        0.695        7.230     7.959    12.719    61.890
18    1     15    1045.3      0.0330   280       9        0.727        8.423    19.460     8.275    50.410
19    2     5     645.6       0.0303   380       12       0.733        7.230     7.959    12.719    61.890
20    1     12    1045.3      0.0330   245       12       0.775        8.423    19.460     8.275    50.410
21    1     12    1108.7      0.0305   273       11       0.785       22.536    13.197     4.636    53.530
22    1     12    1334.9      0.0245   259       12       0.800       10.755    19.460     8.618    47.740
23    1     15    1334.9      0.0245   296       11       0.822       10.755    19.460     8.618    47.740
24    1     61    1359.8      0.0126   256       26       0.886        7.959    11.418    14.963
25    1     61    1359.8      0.0126   256       26       0.886       11.418    14.963     7.959
26    1     61    1359.8      0.0126   256       26       0.886       14.963     7.959    11.418
27    1     61    1111.7      0.0189   240       27       0.930        7.956    10.668    13.098
28    1     61    1111.7      0.0189   240       27       0.930       10.668    13.098     7.956
29    1     61    1111.7      0.0189   240       27       0.930       13.098     7.956    10.668
30    1     61    1354.9      0.0167   288       27       1.068        7.586    22.439     7.959
31    1     61    1354.9      0.0167   288       27       1.068       22.439     7.959     7.586
32    1     61    1354.9      0.0167   288       27       1.068        7.959     7.586    22.439
33    13    12    562.9       0.0325   1195      10       1.149       11.486    10.668     4.694    78.160
34    13    12    645.6       0.0303   1372      12       1.393        7.230     7.959    12.719    61.890


[Pair 1/34] vol=922.5 ų, spg=167, dims=   7.959    16.816: 2 WP choices.
WP #1: spg=167, count=2, dof=2, n_wps=4, wyckoff=[['18e'], ['6a'], ['18e', '6b']]
ID  1-9: * 48   4  167 R-3c           5.77 18e 6a 18e 6b ,  vol=922.5 ų 0.990, -5.656, 0.005, 0.020  9.922,  0.990,  0.210, -2.5, 11.5s [best-energy-ok]
ID  2-13: * 48   4  167 R-3c           5.77 18e 6a 18e 6b ,  vol=922.5 ų 0.988, -5.655, 0.003, 0.177  3.375,  0.999,  0.024, 0.1, 3.4s [best-energy-ok]
Metrics: Wr=3.3754, R2=0.9988, Chi2=0.0244, score=0.1432, accepted=True, E=-5.6546, dE=0.0018

Final refinement results: Wr=3.3754, R2=0.9988, Chi2=0.0244
Best structure saved to 0510/cifs/Match_Ba3NiO4_167.cif
Accepted solution: spg=167, Wr=3.3754, R2=0.9988, Chi2=0.0244, score=0.1432, E=-5.6546, dE=0.0018, 
Good fit found for spg=167, but skipping early stop because only 2 structures have been explored 
WP #2: spg=167, count=4, dof=2, n_wps=4, wyckoff=[['18e'], ['6b'], ['18e', '6a']]
ID  3-3: * 48   4  167 R-3c           5.77 18e 6b 18e 6a ,  vol=922.5 ų 0.796, -5.065, 0.038, 0.050 71.891,  0.461, 11.049, -30.3, 3.3s
ID  4-8: * 48   4  167 R-3c           5.77 18e 6b 18e 6a ,  vol=922.5 ų 0.796, -5.065, 0.038, 0.050 71.891,  0.461, 11.049, -30.3, 3.1s
ID  5-9: * 48   4  167 R-3c           5.77 18e 6b 18e 6a ,  vol=922.5 ų 0.775, -5.056, 0.036, 0.261
ID  6-13: * 48   4  167 R-3c           5.77 18e 6b 18e 6a ,  vol=922.5 ų 0.795, -5.065, 0.038, 0.028 71.766,  0.463, 11.011, -30.2, 3.2s
Accepted solution: spg=167, Wr=3.3754, R2=0.9988, Chi2=0.0244, score=0.1432, E=-5.6546, dE=0.0018, 
Good fit found for spg=167, but skipping early stop because only 6 structures have been explored 

[Pair 2/34] vol=615.2 ų, spg=9, dims=  12.119     7.959     7.245    61.680: 1 WP choices.
WP #1: spg=9, count=1, dof=24, n_wps=8, wyckoff=[['4a', '4a', '4a'], ['4a'], ['4a', '4a', '4a', '4a']]
ID  7-1: * 32  28    9 Cc             5.77 4a 4a 4a 4a 4a 4a 4a 4a ,  vol=615.2 ų 0.951, -5.572, 0.019, 0.070  3.365,  0.999,  0.024, 0.1, 7.1s [best-energy-ok]
Metrics: Wr=3.3650, R2=0.9988, Chi2=0.0242, score=0.1474, accepted=True, E=-5.5722, dE=0.0842

Final refinement results: Wr=3.3650, R2=0.9988, Chi2=0.0242
Best structure saved to 0510/cifs/Match_Ba3NiO4_9.cif
Accepted solution: spg=9, Wr=3.3650, R2=0.9988, Chi2=0.0242, score=0.1474, E=-5.5722, dE=0.0842, 
Good fit found for spg=9, but skipping early stop because only 7 structures have been explored 

[Pair 3/34] vol=922.5 ų, spg=155, dims=   7.959    16.816: 1 WP choices.
WP #1: spg=155, count=3, dof=7, n_wps=5, wyckoff=[['9e', '9d'], ['6c'], ['18f', '6c']]
ID  8-3: * 48   9  155 R32            5.77 9e 9d 6c 18f 6c ,  vol=922.5 ų 0.792, -5.270, 0.054, 0.091 73.027,  0.444, 11.401, -30.8, 10.7s
ID  9-5: * 48   9  155 R32            5.77 9e 9d 6c 18f 6c ,  vol=922.5 ų 0.795, -4.437, 0.046, 0.216 76.008,  0.398, 12.351, -32.3, 2.1s
ID 10-12: * 48   9  155 R32            5.77 9e 9d 6c 18f 6c ,  vol=922.5 ų 0.605, -4.750, 0.104, 0.092
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: 12m 39.6s
  2) Structure inference: 5m 28.7s
  Total: 18m 08.3s
Best solution: spg=9, Wr=3.3650, R2=0.9988, Chi2=0.0242, score=0.1474, E=-5.5722, dE=0.0842, 
Return best result in spg=9.
Best inferred-SG score observed: 0.1474