TOPOLOGICAL ENUMERATION OF DECORATED [Cu2+ 2]N SHEETS IN HYDROXY-HYDRATED COPPER-OXYSALT MINERALS
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Bibliographic record
Abstract
Many hydroxy-(hydrated) Cu 2+ oxysalt minerals, particularly Cu 2+ sulfates, are based on structural units that are variants of the [ M ϕ 2 ] N sheets of edge-sharing octahedra, where M is an octahedrally coordinated cation (including vacancies) and ϕ is an anion. Where ϕ = O 2− ,OH,Cl,H 2 O, the sheet can be considered as a simple sheet; where ϕ = (SO 4 ) 2− , the sheet may be considered as a decorated sheet. In such structures, Cu 2+ ϕ 6 octahedra show strong axial elongation; Cu 2+ –ϕ(equatorial) bonds have a bond-valence of ~0.42 vu , and Cu 2+ –ϕ(apical) bonds have a bond-valence of ~0.17 vu. Local bond-valence requirements dictate that an (SO 4 ) 2− group can only link to a [Cu 2+ ϕ 2 ] N sheet if three Cu 2+ –ϕ(apical) bonds are incident to the linking anion. This constraint provides considerable restrictions on possible structural arrangements with small unit-cells ( 2+ atoms/plane). These may be derived by two-coloring the 6 3 net. There are currently 20 minerals known that correspond to this structural theme, and it is almost certain that many others await discovery.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.009 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it