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MgO12Pb4Ti2W_139

Solved Structure

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Energy-R2 Fit

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Energy-R2 fit plot for MgO12Pb4Ti2W_139

Run Summary

FormulaMgO12Pb4Ti2W
Crystal Systemtetragonal
Input SG139
Solved SG139
R20.9987
Chi20.0171
Rwp/Wr3.5683
Statusaccepted
Valid Structures28
Candidates28
Total Time21m 16.9s
Search Details
Phase 1 SGs136
Phase 2 Pairs24
Refined Structures9
Refine Failures0

Reached maximum structure limit and Stop further generation.

Log Preview
Phase 1 — rank 122/136: spg=66 | Found 17 cell(s): vol=1038.9–1474.0 ų
Phase 1 — rank 123/136: spg=37 | Found 17 cell(s): vol=1038.9–1474.0 ų
Phase 1 — rank 124/136: spg=68 | Found 15 cell(s): vol=1038.9–1469.7 ų
Phase 1 — rank 125/136: spg=69 | Found 9 cell(s): vol=1038.9–1469.7 ų
Phase 1 — rank 126/136: spg=42 | Found 9 cell(s): vol=1038.9–1469.7 ų
Phase 1 — rank 127/136: spg=22 | Found 2 cell(s): vol=1038.9–1469.7 ų
Phase 1 — rank 128/136: spg=71 | Found 27 cell(s): vol=519.3–1469.7 ų
Phase 1 — rank 129/136: spg=44 | Found 27 cell(s): vol=519.3–1469.7 ų
Phase 1 — rank 130/136: spg=24 | Found 5 cell(s): vol=519.3–1469.7 ų
Phase 1 — rank 131/136: spg=23 | Found 5 cell(s): vol=519.3–1469.7 ų
Phase 1 — rank 132/136: spg=74 | Found 20 cell(s): vol=519.3–1469.7 ų
Phase 1 — rank 133/136: spg=46 | Found 20 cell(s): vol=519.3–1469.7 ų
Phase 1 — rank 134/136: spg=72 | Found 10 cell(s): vol=799.8–1469.7 ų
Phase 1 — rank 135/136: spg=45 | Found 10 cell(s): vol=799.8–1469.7 ų
Phase 1 — rank 136/136: spg=73 | Found 6 cell(s): vol=1469.7 ų
Phase 2: ranked 24 (cell, SPG) pair(s) from 136 seed SPG candidates. Volume range: 183.9–601.2 ų | Total candidates: 28
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     71    519.3       0.0003   52        12       0.044        5.675    16.136     5.672
2     1     71    519.3       0.0003   52        12       0.044        5.675     5.672    16.136
3     1     71    519.3       0.0003   52        12       0.044       16.136     5.675     5.672
4     3     139   519.4       0.0005   148       7        0.068        5.673    16.139
5     1     25    183.9       0.0074   104       16       0.147       16.060     4.037     2.837
6     1     25    183.9       0.0074   120       16       0.158        2.837    16.060     4.037
7     1     111   259.9       0.0165   56        13       0.161        4.025    16.046
8     1     83    259.9       0.0165   64        13       0.172        4.025    16.046
9     1     25    260.1       0.0038   128       22       0.172        4.011    16.060     4.037
10    3     123   259.9       0.0165   88        13       0.201        4.025    16.046
11    1     25    183.9       0.0074   216       16       0.212        2.837     4.037    16.060
12    1     25    260.1       0.0038   224       22       0.228        4.011     4.037    16.060
13    1     25    367.6       0.0041   132       28       0.242       16.145     5.674     4.012
14    1     25    367.6       0.0041   140       28       0.250       16.145     4.012     5.674
15    1     25    373.6       0.0058   120       30       0.277        8.073    16.060     2.882
16    1     38    523.4       0.0105   134       13       0.294       16.060     5.673     5.745
17    1     25    367.6       0.0041   228       28       0.319        4.012     5.674    16.145
18    1     25    373.6       0.0058   168       30       0.327       16.060     2.882     8.073
19    1     25    394.2       0.0252   132       11       0.333        8.073    16.060     3.040
20    1     25    394.2       0.0252   172       11       0.380        3.040    16.060     8.073
21    1     25    373.6       0.0058   232       30       0.385        8.073     2.882    16.060
22    1     38    601.2       0.0200   136       15       0.439       16.145     8.046     4.628
23    1     25    394.2       0.0252   236       11       0.445        8.073     3.040    16.060
24    1     38    601.2       0.0200   160       15       0.476       16.145     4.628     8.046


[Pair 1/24] vol=519.3 ų, spg=71, dims=   5.675    16.136     5.672: 1 WP choices.
WP #1: spg=71, count=1, dof=6, n_wps=8, wyckoff=[['2a'], ['8n', '8m', '8l'], ['8k'], ['2c', '2b'], ['2d']]
ID  1-5: * 40   9   71 Immm           8.47 2a 8n 8m 8l 8k 2c 2b 2d ,  vol=519.3 ų 0.411, -5.822, 0.068, 0.041
ID  2-9: * 40   9   71 Immm           8.47 2a 8n 8m 8l 8k 2c 2b 2d ,  vol=519.3 ų 0.409, -5.845, 0.053, 0.069
ID  3-17: * 40   9   71 Immm           8.47 2a 8n 8m 8l 8k 2c 2b 2d ,  vol=519.3 ų 0.410, -5.845, 0.053, 0.047
ID  4-20: * 40   9   71 Immm           8.47 2a 8n 8m 8l 8k 2c 2b 2d ,  vol=519.3 ų 0.388, -4.258, 0.169, 0.161
ID  5-29: * 40   9   71 Immm           8.47 2a 8n 8m 8l 8k 2c 2b 2d ,  vol=519.3 ų 0.411, -5.822, 0.068, 0.096
ID  6-43: * 40   9   71 Immm           8.47 2a 8n 8m 8l 8k 2c 2b 2d ,  vol=519.3 ų 0.411, -5.822, 0.068, 0.067

[Pair 2/24] vol=519.3 ų, spg=71, dims=   5.675     5.672    16.136: 1 WP choices.
WP #1: spg=71, count=1, dof=6, n_wps=8, wyckoff=[['2a'], ['8n', '8m', '8l'], ['8k'], ['2c', '2b'], ['2d']]
ID  7-8: * 40   9   71 Immm           8.47 2a 8n 8m 8l 8k 2c 2b 2d ,  vol=519.3 ų 0.399, -5.862, 0.043, 0.074
ID  8-9: * 40   9   71 Immm           8.47 2a 8n 8m 8l 8k 2c 2b 2d ,  vol=519.3 ų 0.399, -5.892, 0.045, 0.081
ID  9-15: * 40   9   71 Immm           8.47 2a 8n 8m 8l 8k 2c 2b 2d ,  vol=519.3 ų 0.408, -5.835, 0.034, 0.080
ID 10-20: * 40   9   71 Immm           8.47 2a 8n 8m 8l 8k 2c 2b 2d ,  vol=519.3 ų 0.391, -5.875, 0.067, 0.090
ID 11-33: * 40   9   71 Immm           8.47 2a 8n 8m 8l 8k 2c 2b 2d ,  vol=519.3 ų 0.392, -5.875, 0.066, 0.082
ID 12-49: * 40   9   71 Immm           8.47 2a 8n 8m 8l 8k 2c 2b 2d ,  vol=519.3 ų 0.414, -5.751, 0.053, 0.079

[Pair 3/24] vol=519.3 ų, spg=71, dims=  16.136     5.675     5.672: 1 WP choices.
WP #1: spg=71, count=1, dof=6, n_wps=8, wyckoff=[['2a'], ['8n', '8m', '8l'], ['8k'], ['2c', '2b'], ['2d']]
ID 13-5: * 40   9   71 Immm           8.47 2a 8n 8m 8l 8k 2c 2b 2d ,  vol=519.3 ų 0.414, -5.751, 0.054, 0.090
ID 14-6: * 40   9   71 Immm           8.47 2a 8n 8m 8l 8k 2c 2b 2d ,  vol=519.3 ų 0.392, -5.875, 0.066, 0.081
ID 15-9: * 40   9   71 Immm           8.47 2a 8n 8m 8l 8k 2c 2b 2d ,  vol=519.3 ų 0.399, -5.861, 0.043, 0.085
ID 16-22: * 40   9   71 Immm           8.47 2a 8n 8m 8l 8k 2c 2b 2d ,  vol=519.3 ų 0.411, -5.806, 0.076, 0.088
ID 17-30: * 40   9   71 Immm           8.47 2a 8n 8m 8l 8k 2c 2b 2d ,  vol=519.3 ų 0.391, -5.875, 0.066, 0.055
ID 18-37: * 40   9   71 Immm           8.47 2a 8n 8m 8l 8k 2c 2b 2d ,  vol=519.3 ų 0.399, -5.861, 0.042, 0.081
ID 19-39: * 40   9   71 Immm           8.47 2a 8n 8m 8l 8k 2c 2b 2d ,  vol=519.3 ų 0.391, -5.875, 0.065, 0.084

[Pair 4/24] vol=519.4 ų, spg=139, dims=   5.673    16.139: 3 WP choices.
WP #1: spg=139, count=1, dof=5, n_wps=8, wyckoff=[['2b'], ['8h', '8f', '4e', '4e'], ['8g'], ['4e'], ['2a']]
ID 20-3: * 40   7  139 I4/mmm         8.47 2b 8h 8f 4e 4e 8g 4e 2a ,  vol=519.4 ų 0.991, -6.080, 0.083, 0.059  5.771,  0.997,  0.045, -0.8, 12.0s [best-energy-ok]
ID 21-4: * 40   7  139 I4/mmm         8.47 2b 8h 8f 4e 4e 8g 4e 2a ,  vol=519.4 ų 0.991, -6.080, 0.081, 0.095  5.771,  0.997,  0.045, -0.8, 4.6s [best-energy-ok]
ID 22-14: * 40   7  139 I4/mmm         8.47 2b 8h 8f 4e 4e 8g 4e 2a ,  vol=519.4 ų 0.989, -6.115, 0.083, 0.090  5.605,  0.997,  0.042, -0.8, 4.4s [best-energy-ok]
ID 23-20: * 40   7  139 I4/mmm         8.47 2b 8h 8f 4e 4e 8g 4e 2a ,  vol=519.4 ų 0.987, -6.114, 0.080, 0.213  5.291,  0.997,  0.038, -0.6, 4.9s [best-energy-ok]
ID 24-30: * 40   7  139 I4/mmm         8.47 2b 8h 8f 4e 4e 8g 4e 2a ,  vol=519.4 ų 0.993, -7.000, 0.001, 0.071  3.569,  0.999,  0.017, 0.1, 3.9s [best-energy-ok]
ID 25-31: * 40   7  139 I4/mmm         8.47 2b 8h 8f 4e 4e 8g 4e 2a ,  vol=519.4 ų 0.989, -6.115, 0.083, 0.056  5.605,  0.997,  0.042, -0.8, 4.2s
ID 26-47: * 40   7  139 I4/mmm         8.47 2b 8h 8f 4e 4e 8g 4e 2a ,  vol=519.4 ų 0.993, -7.000, 0.002, 0.078  3.568,  0.999,  0.017, 0.1, 4.3s [best-energy-ok]
ID 27-55: * 40   7  139 I4/mmm         8.47 2b 8h 8f 4e 4e 8g 4e 2a ,  vol=519.4 ų 0.989, -6.115, 0.083, 0.089  5.605,  0.997,  0.042, -0.8, 4.2s
ID 28-68: * 40   7  139 I4/mmm         8.47 2b 8h 8f 4e 4e 8g 4e 2a ,  vol=519.4 ų 0.985, -6.114, 0.084, 0.373  5.605,  0.997,  0.042, -0.8, 4.3s
Metrics: Wr=3.5683, R2=0.9987, Chi2=0.0171, score=0.0673, accepted=True, E=-6.9997, dE=0.0000
Early stop: excellent solution found.

Final refinement results: Wr=3.5683, R2=0.9987, Chi2=0.0171
Best structure saved to 0510/cifs/Match_MgO12Pb4Ti2W_139.cif
Accepted solution: spg=139, Wr=3.5683, R2=0.9987, Chi2=0.0171, score=0.0673, E=-6.9997, dE=0.0000, 
Good fit found early: spg=139, R2=0.9987, Chi2=0.0171, dE_global=0.0000. Stopping search after pair 4/24 and 1 WP candidate(s).
Reached maximum structure limit and Stop further generation.
Timing breakdown:
  1) SPG + cell inference: 7m 40.3s
  2) Structure inference: 13m 36.6s
  Total: 21m 16.9s
Best solution: spg=139, Wr=3.5683, R2=0.9987, Chi2=0.0171, score=0.0673, E=-6.9997, dE=0.0000, 
Return best result in spg=139.
Best inferred-SG score observed: 0.0673