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FKNb4O5_123

Solved Structure

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Energy-R2 Fit

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Energy-R2 fit plot for FKNb4O5_123

Run Summary

FormulaFKNb4O5
Crystal Systemtetragonal
Input SG123
Solved SG123
R20.9986
Chi20.0211
Rwp/Wr3.6459
Statusaccepted
Valid Structures14
Candidates42
Total Time12m 39.8s
Search Details
Phase 1 SGs160
Phase 2 Pairs22
Refined Structures14
Refine Failures0

Reached maximum structure limit and Stop further generation.

Log Preview
Phase 1 — rank 126/160: spg=38 | Found 39 cell(s): vol=302.8–1468.8 ų
Phase 1 — rank 127/160: spg=65 | Found 39 cell(s): vol=302.8–1468.8 ų
Phase 1 — rank 128/160: spg=35 | Found 39 cell(s): vol=302.8–1468.8 ų
Phase 1 — rank 129/160: spg=21 | Found 18 cell(s): vol=302.8–1468.8 ų
Phase 1 — rank 130/160: spg=19 | Found 15 cell(s): vol=456.4–1484.6 ų
Phase 1 — rank 131/160: spg=58 | Found 63 cell(s): vol=456.4–1484.6 ų
Phase 1 — rank 132/160: spg=34 | Found 63 cell(s): vol=456.4–1484.6 ų
Phase 1 — rank 133/160: spg=48 | Found 57 cell(s): vol=456.4–1484.6 ų
Phase 1 — rank 134/160: spg=49 | Found 57 cell(s): vol=151.3–1468.8 ų
Phase 1 — rank 135/160: spg=27 | Found 32 cell(s): vol=151.3–1468.8 ų
Phase 1 — rank 136/160: spg=54 | Found 47 cell(s): vol=303.4–1468.8 ų
Phase 1 — rank 137/160: spg=52 | Found 46 cell(s): vol=456.4–1477.2 ų
Phase 1 — rank 138/160: spg=57 | Found 49 cell(s): vol=303.4–1468.8 ų
Phase 1 — rank 139/160: spg=29 | Found 49 cell(s): vol=303.4–1468.8 ų
Phase 1 — rank 140/160: spg=71 | Found 54 cell(s): vol=456.4–1484.6 ų
Phase 1 — rank 141/160: spg=44 | Found 54 cell(s): vol=456.4–1484.6 ų
Phase 1 — rank 142/160: spg=24 | Found 10 cell(s): vol=456.4–1484.6 ų
Phase 1 — rank 143/160: spg=23 | Found 10 cell(s): vol=456.4–1484.6 ų
Phase 1 — rank 144/160: spg=62 | Found 44 cell(s): vol=456.4–1477.2 ų
Phase 1 — rank 145/160: spg=33 | Found 44 cell(s): vol=456.4–1477.2 ų
Phase 1 — rank 146/160: spg=60 | Found 38 cell(s): vol=456.4–1485.0 ų
Phase 1 — rank 147/160: spg=56 | Found 37 cell(s): vol=456.4–1477.2 ų
Phase 1 — rank 148/160: spg=61 | Found 33 cell(s): vol=456.4–1468.8 ų
Phase 1 — rank 149/160: spg=74 | Found 43 cell(s): vol=456.4–1484.6 ų
Phase 1 — rank 150/160: spg=46 | Found 43 cell(s): vol=456.4–1484.6 ų
Phase 1 — rank 151/160: spg=39 | Found 25 cell(s): vol=428.1–1468.8 ų
Phase 1 — rank 152/160: spg=72 | Found 32 cell(s): vol=456.4–1484.6 ų
Phase 1 — rank 153/160: spg=45 | Found 32 cell(s): vol=456.4–1484.6 ų
Phase 1 — rank 154/160: spg=40 | Found 18 cell(s): vol=606.0–1468.8 ų
Phase 1 — rank 155/160: spg=67 | Found 25 cell(s): vol=428.1–1468.8 ų
Phase 1 — rank 156/160: spg=20 | Found 13 cell(s): vol=606.0–1468.8 ų
Phase 1 — rank 157/160: spg=63 | Found 18 cell(s): vol=606.0–1468.8 ų
Phase 1 — rank 158/160: spg=36 | Found 18 cell(s): vol=606.0–1468.8 ų
Phase 1 — rank 159/160: spg=66 | Found 15 cell(s): vol=606.0–1468.8 ų
Phase 1 — rank 160/160: spg=41 | Found 15 cell(s): vol=606.0–1468.8 ų
Phase 2: ranked 22 (cell, SPG) pair(s) from 160 seed SPG candidates. Volume range: 151.4–606.7 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     2     123   151.4       0.0002   32        6        0.017        4.210     8.541
2     1     26    302.8       0.0003   110       8        0.053        8.540     5.953     5.956
3     3     38    302.8       0.0003   165       8        0.065        8.540     5.953     5.956
4     2     129   302.8       0.0002   84        22       0.069        5.954     8.541
5     2     87    605.4       0.0004   176       8        0.115        5.952    17.087
6     1     26    303.4       0.0104   88        19       0.304       17.110     4.211     4.211
7     3     63    606.7       0.0083   156       13       0.436        5.958     5.951    17.110
8     1     26    303.4       0.0110   132       27       0.450        8.555     8.421     4.211
9     3     63    606.0       0.0061   261       13       0.499       17.110     8.412     4.211
10    1     26    303.4       0.0110   176       26       0.511        4.211     8.555     8.421
11    2     36    606.0       0.0061   294       13       0.530       17.110     8.412     4.211
12    1     26    305.7       0.0396   110       16       0.536       17.110     8.421     2.121
13    3     63    606.0       0.0058   288       15       0.549        8.412    17.110     4.211
14    1     26    303.4       0.0104   231       24       0.550        4.211     4.211    17.110
15    2     36    606.0       0.0058   384       15       0.634        8.412    17.110     4.211
16    2     36    606.7       0.0083   382       13       0.682        5.958     5.951    17.110
17    2     62    606.0       0.0050   277       28       0.686        4.211    17.110     8.412
18    2     62    606.0       0.0050   277       29       0.698        8.412    17.110     4.211
19    2     62    606.7       0.0070   245       29       0.750        5.958    17.110     5.951
20    2     62    606.0       0.0050   376       30       0.826        4.211     8.412    17.110
21    2     62    606.7       0.0071   377       29       0.934       17.110     5.951     5.958
22    2     62    606.7       0.0088   420       30       1.091        8.421     4.211    17.110


[Pair 1/22] vol=151.4 ų, spg=123, dims=   4.210     8.541: 2 WP choices.
WP #1: spg=123, count=1, dof=2, n_wps=6, wyckoff=[['1b'], ['1d'], ['2h', '2f'], ['4i', '1a']]
ID  1-3: * 11   4  123 P4/mmm         5.59 1b 1d 2h 2f 4i 1a ,  vol=151.4 ų 0.911, -8.028, 0.050, 0.082 12.511,  0.984,  0.248, -3.6, 17.2s [best-energy-ok]
ID  2-4: * 11   4  123 P4/mmm         5.59 1b 1d 2h 2f 4i 1a ,  vol=151.4 ų 0.913, -8.028, 0.048, 0.077 13.459,  0.981,  0.287, -4.0, 16.2s
ID  3-5: * 11   4  123 P4/mmm         5.59 1b 1d 2h 2f 4i 1a ,  vol=151.4 ų 0.911, -8.028, 0.048, 0.076 17.556,  0.968,  0.489, -5.7, 11.7s
ID  4-8: * 11   4  123 P4/mmm         5.59 1b 1d 2h 2f 4i 1a ,  vol=151.4 ų 0.905, -8.027, 0.058, 0.310 13.610,  0.981,  0.294, -4.0, 12.3s
ID  5-11: * 11   4  123 P4/mmm         5.59 1b 1d 2h 2f 4i 1a ,  vol=151.4 ų 0.913, -8.028, 0.048, 0.077 13.459,  0.981,  0.287, -4.0, 16.0s
ID  6-13: * 11   4  123 P4/mmm         5.59 1b 1d 2h 2f 4i 1a ,  vol=151.4 ų 0.914, -8.028, 0.048, 0.094 13.342,  0.981,  0.282, -3.9, 15.6s
ID  7-15: * 11   4  123 P4/mmm         5.59 1b 1d 2h 2f 4i 1a ,  vol=151.4 ų 0.911, -8.028, 0.048, 0.099 17.560,  0.968,  0.489, -5.7, 11.6s
Metrics: Wr=12.5114, R2=0.9836, Chi2=0.2482, score=-3.5787, accepted=False, E=-8.0281, dE=0.0001

Final refinement results: Wr=12.5114, R2=0.9836, Chi2=0.2482
Best structure saved to 0510/cifs/Match_FKNb4O5_123.cif
WP #2: spg=123, count=1, dof=2, n_wps=6, wyckoff=[['1d'], ['1b'], ['2h', '2f'], ['4i', '1a']]
ID  8-3: * 11   4  123 P4/mmm         5.59 1d 1b 2h 2f 4i 1a ,  vol=151.4 ų 0.982, -8.452, 0.004, 0.094  3.649,  0.999,  0.021, 0.0, 3.7s [best-energy-ok]
ID  9-4: * 11   4  123 P4/mmm         5.59 1d 1b 2h 2f 4i 1a ,  vol=151.4 ų 0.983, -8.452, 0.001, 0.094  3.718,  0.999,  0.022, 0.0, 3.1s
ID 10-5: * 11   4  123 P4/mmm         5.59 1d 1b 2h 2f 4i 1a ,  vol=151.4 ų 0.982, -8.452, 0.003, 0.091  3.646,  0.999,  0.021, 0.0, 3.4s [best-energy-ok]
ID 11-8: * 11   4  123 P4/mmm         5.59 1d 1b 2h 2f 4i 1a ,  vol=151.4 ų 0.981, -8.451, 0.009, 0.260  3.646,  0.999,  0.021, 0.0, 3.4s
ID 12-11: * 11   4  123 P4/mmm         5.59 1d 1b 2h 2f 4i 1a ,  vol=151.4 ų 0.983, -8.452, 0.001, 0.094  3.718,  0.999,  0.022, 0.0, 3.0s
ID 13-13: * 11   4  123 P4/mmm         5.59 1d 1b 2h 2f 4i 1a ,  vol=151.4 ų 0.981, -8.452, 0.005, 0.083  3.646,  0.999,  0.021, 0.0, 3.6s
ID 14-15: * 11   4  123 P4/mmm         5.59 1d 1b 2h 2f 4i 1a ,  vol=151.4 ų 0.983, -8.452, 0.001, 0.053  6.562,  0.996,  0.068, -1.1, 3.3s
Metrics: Wr=3.6459, R2=0.9986, Chi2=0.0211, score=0.0354, accepted=True, E=-8.4518, dE=0.0000
Early stop: excellent solution found.

Final refinement results: Wr=3.6459, R2=0.9986, Chi2=0.0211
Best structure saved to 0510/cifs/Match_FKNb4O5_123.cif
Accepted solution: spg=123, Wr=3.6459, R2=0.9986, Chi2=0.0211, score=0.0354, E=-8.4518, dE=0.0000, 
Good fit found early: spg=123, R2=0.9986, Chi2=0.0211, dE_global=0.0000. Stopping search after pair 1/22 and 2 WP candidate(s).
Reached maximum structure limit and Stop further generation.
Timing breakdown:
  1) SPG + cell inference: 9m 10.6s
  2) Structure inference: 3m 29.2s
  Total: 12m 39.8s
Best solution: spg=123, Wr=3.6459, R2=0.9986, Chi2=0.0211, score=0.0354, E=-8.4518, dE=0.0000, 
Return best result in spg=123.
Best inferred-SG score observed: 0.0354