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Ca4MgSn3_140

Solved Structure

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Energy-R2 Fit

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Energy-R2 fit plot for Ca4MgSn3_140

Run Summary

FormulaCa4MgSn3
Crystal Systemtetragonal
Input SG140
Solved SG140
R20.9991
Chi20.039
Rwp/Wr2.9438
Statusaccepted
Valid Structures13
Candidates41
Total Time7m 34.7s
Search Details
Phase 1 SGs97
Phase 2 Pairs26
Refined Structures11
Refine Failures0

Reached maximum structure limit and Stop further generation.

Log Preview
Phase 1 — rank 61/97: spg=47 | Found 51 cell(s): vol=641.3–1396.5 ų
Phase 1 — rank 62/97: spg=25 | Found 27 cell(s): vol=641.3–1396.5 ų
Phase 1 — rank 63/97: spg=16 | Found 10 cell(s): vol=641.3–1396.5 ų
Phase 1 — rank 64/97: spg=17 | Found 22 cell(s): vol=641.3–1353.6 ų
Phase 1 — rank 65/97: spg=51 | Found 20 cell(s): vol=641.3–1353.6 ų
Phase 1 — rank 66/97: spg=28 | Found 20 cell(s): vol=641.3–1353.6 ų
Phase 1 — rank 67/97: spg=26 | Found 18 cell(s): vol=641.3–1353.6 ų
Phase 1 — rank 68/97: spg=62 | Found 7 cell(s): vol=641.3–1353.6 ų
Phase 1 — rank 69/97: spg=33 | Found 7 cell(s): vol=641.3–1353.6 ų
Phase 1 — rank 70/97: spg=18 | Found 18 cell(s): vol=641.3–1353.6 ų
Phase 1 — rank 71/97: spg=19 | Found 5 cell(s): vol=641.3–1353.6 ų
Phase 1 — rank 72/97: spg=59 | Found 23 cell(s): vol=641.3–1353.6 ų
Phase 1 — rank 73/97: spg=31 | Found 23 cell(s): vol=641.3–1353.6 ų
Phase 1 — rank 74/97: spg=58 | Found 7 cell(s): vol=926.6–1285.6 ų
Phase 1 — rank 75/97: spg=34 | Found 7 cell(s): vol=926.6–1285.6 ų
Phase 1 — rank 76/97: spg=48 | Found 3 cell(s): vol=926.6 ų
Phase 1 — rank 77/97: spg=53 | Found 6 cell(s): vol=926.6–1324.3 ų
Phase 1 — rank 78/97: spg=30 | Found 6 cell(s): vol=926.6–1324.3 ų
Phase 1 — rank 79/97: spg=52 | Found 2 cell(s): vol=926.6 ų
Phase 1 — rank 80/97: spg=55 | Found 7 cell(s): vol=926.6–1285.6 ų
Phase 1 — rank 81/97: spg=32 | Found 7 cell(s): vol=926.6–1285.6 ų
Phase 1 — rank 82/97: spg=71 | Found 3 cell(s): vol=926.6 ų
Phase 1 — rank 83/97: spg=57 | Found 5 cell(s): vol=926.6–1324.3 ų
Phase 1 — rank 84/97: spg=49 | Found 6 cell(s): vol=926.6–1324.3 ų
Phase 1 — rank 85/97: spg=44 | Found 3 cell(s): vol=926.6 ų
Phase 1 — rank 86/97: spg=29 | Found 5 cell(s): vol=926.6–1324.3 ų
Phase 1 — rank 87/97: spg=27 | Found 4 cell(s): vol=926.6–1324.3 ų
Phase 1 — rank 88/97: spg=24 | Found 1 cell(s): vol=926.6 ų
Phase 1 — rank 89/97: spg=23 | Found 1 cell(s): vol=926.6 ų
Phase 1 — rank 90/97: spg=56 | Found 3 cell(s): vol=926.6–1285.6 ų
Phase 1 — rank 91/97: spg=74 | Found 2 cell(s): vol=926.6 ų
Phase 1 — rank 92/97: spg=60 | Found 1 cell(s): vol=926.6 ų
Phase 1 — rank 93/97: spg=50 | Found 1 cell(s): vol=926.6 ų
Phase 1 — rank 94/97: spg=46 | Found 2 cell(s): vol=926.6 ų
Phase 1 — rank 95/97: spg=72 | Found 1 cell(s): vol=926.6 ų
Phase 1 — rank 96/97: spg=45 | Found 1 cell(s): vol=926.6 ų
Phase 1 — rank 97/97: spg=54 | Found 2 cell(s): vol=1285.6 ų
Phase 2: ranked 26 (cell, SPG) pair(s) from 97 seed SPG candidates. Volume range: 641.3–988.5 ų | Total candidates: 41
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     140   926.5       0.0002   66        1        0.011       12.373     6.052
2     2     130   926.5       0.0002   102       3        0.019       12.373     6.052
3     1     72    926.6       0.0001   72        9        0.023       12.370    12.376     6.053
4     1     71    926.6       0.0001   78        9        0.024        6.053    12.370    12.376
5     1     71    926.6       0.0001   78        9        0.024       12.370     6.053    12.376
6     1     71    926.6       0.0001   84        9        0.024       12.370    12.376     6.053
7     1     52    926.6       0.0001   108       9        0.028        6.053    12.370    12.376
8     1     52    926.6       0.0001   114       9        0.029       12.370     6.053    12.376
9     1     46    926.6       0.0001   132       9        0.031       12.370    12.376     6.053
10    1     57    926.6       0.0001   156       9        0.033       12.370    12.376     6.053
11    1     46    926.6       0.0001   156       9        0.033        6.053    12.370    12.376
12    1     136   926.5       0.0002   96        16       0.038       12.373     6.052
13    1     33    926.6       0.0001   240       9        0.041        6.053    12.370    12.376
14    1     33    926.6       0.0001   240       9        0.041       12.370    12.376     6.053
15    1     19    926.6       0.0001   240       9        0.041        6.053    12.370    12.376
16    2     58    926.6       0.0001   270       9        0.044        6.053    12.370    12.376
17    2     58    926.6       0.0001   270       9        0.044       12.370     6.053    12.376
18    2     58    926.6       0.0001   330       9        0.049       12.370    12.376     6.053
19    5     62    926.6       0.0001   642       9        0.068        6.053    12.370    12.376
20    5     62    926.6       0.0001   786       9        0.075       12.370     6.053    12.376
21    1     25    641.3       0.0063   152       23       0.200       17.498     4.200     8.726
22    1     25    641.3       0.0063   226       23       0.244        8.726    17.498     4.200
23    1     25    641.3       0.0063   278       23       0.270        8.726     4.200    17.498
24    1     19    988.5       0.0043   368       18       0.294        8.749    35.032     3.225
25    2     58    988.5       0.0043   568       13       0.314        8.749    35.032     3.225
26    2     58    988.5       0.0043   568       13       0.314       35.032     8.749     3.225


[Pair 1/26] vol=926.5 ų, spg=140, dims=  12.373     6.052: 2 WP choices.
WP #1: spg=140, count=1, dof=3, n_wps=4, wyckoff=[['16k'], ['4b'], ['8h', '4a']]
ID  1-3: * 32   5  140 I4/mcm         3.88 16k 4b 8h 4a ,  vol=926.5 ų 0.993, -3.337, 0.002, 0.082  2.944,  0.999,  0.039, 0.3, 11.6s [best-energy-ok]
ID  2-8: * 32   5  140 I4/mcm         3.88 16k 4b 8h 4a ,  vol=926.5 ų 0.993, -3.337, 0.002, 0.038  2.944,  0.999,  0.039, 0.3, 2.9s [best-energy-ok]
ID  3-10: * 32   5  140 I4/mcm         3.88 16k 4b 8h 4a ,  vol=926.5 ų 0.993, -3.336, 0.002, 0.088  2.945,  0.999,  0.039, 0.3, 3.0s
ID  4-12: * 32   5  140 I4/mcm         3.88 16k 4b 8h 4a ,  vol=926.5 ų 0.992, -3.335, 0.003, 0.123  2.956,  0.999,  0.039, 0.3, 3.1s
ID  5-14: * 32   5  140 I4/mcm         3.88 16k 4b 8h 4a ,  vol=926.5 ų 0.992, -3.336, 0.002, 0.065  2.945,  0.999,  0.039, 0.3, 3.0s
ID  6-18: * 32   5  140 I4/mcm         3.88 16k 4b 8h 4a ,  vol=926.5 ų 0.968, -3.307, 0.002, 0.424  2.953,  0.999,  0.039, 0.3, 3.2s
ID  7-19: * 32   5  140 I4/mcm         3.88 16k 4b 8h 4a ,  vol=926.5 ų 0.993, -3.336, 0.003, 0.089  2.945,  0.999,  0.039, 0.3, 3.0s
ID  8-23: * 32   5  140 I4/mcm         3.88 16k 4b 8h 4a ,  vol=926.5 ų 0.993, -3.337, 0.003, 0.081  2.945,  0.999,  0.039, 0.3, 3.0s
ID  9-24: * 32   5  140 I4/mcm         3.88 16k 4b 8h 4a ,  vol=926.5 ų 0.633, -2.847, 0.024, 0.076
ID 10-26: * 32   5  140 I4/mcm         3.88 16k 4b 8h 4a ,  vol=926.5 ų 0.992, -3.331, 0.003, 0.256  2.945,  0.999,  0.039, 0.3, 2.8s
ID 11-28: * 32   5  140 I4/mcm         3.88 16k 4b 8h 4a ,  vol=926.5 ų 0.993, -3.337, 0.002, 0.082  2.944,  0.999,  0.039, 0.3, 3.1s
ID 12-33: * 32   5  140 I4/mcm         3.88 16k 4b 8h 4a ,  vol=926.5 ų 0.386, 3.857, 0.061, 0.023
ID 13-35: * 32   5  140 I4/mcm         3.88 16k 4b 8h 4a ,  vol=926.5 ų 0.991, -3.336, 0.002, 0.130  2.944,  0.999,  0.039, 0.3, 3.0s
Metrics: Wr=2.9438, R2=0.9991, Chi2=0.0390, score=0.3133, accepted=True, E=-3.3370, dE=0.0000
Early stop: excellent solution found.

Final refinement results: Wr=2.9438, R2=0.9991, Chi2=0.0390
Best structure saved to 0510/cifs/Match_Ca4MgSn3_140.cif
Accepted solution: spg=140, Wr=2.9438, R2=0.9991, Chi2=0.0390, score=0.3133, E=-3.3370, dE=0.0000, 
Good fit found early: spg=140, R2=0.9991, Chi2=0.0390, dE_global=0.0000. Stopping search after pair 1/26 and 1 WP candidate(s).
Reached maximum structure limit and Stop further generation.
Timing breakdown:
  1) SPG + cell inference: 4m 02.3s
  2) Structure inference: 3m 32.4s
  Total: 7m 34.7s
Best solution: spg=140, Wr=2.9438, R2=0.9991, Chi2=0.0390, score=0.3133, E=-3.3370, dE=0.0000, 
Return best result in spg=140.
Best inferred-SG score observed: 0.3133