THE CRYSTAL CHEMISTRY OF SILICATE MINERALS WITH CHAINS OF (TiO6) OCTAHEDRA
Bibliographic record
Abstract
Chains of (TiO6) octahedra occur in several crystal structures as fundamental building blocks, confirming the tendency of self-polymerization for (TiO6) octahedra. There are two topologically distinct types of chains based on linkage of (TiO6) octahedra, corner-sharing chains and edge-sharing chains. In this paper, we focus on the diversity of linkages between chains of (TiO6) octahedra and (SiO4) tetrahedra. In Ti-silicate structures based on chains of corner-sharing (Ti 4+ 6) octahedra, the chains are neither branched nor looped; they are topologically simple [Ti5] chains. The chemical formulae of such structures may be written in a very general way as Na2a (TiO)a [Sic O2(a+c)] (H2O)n and Naa (Ti{OH})a [Sic O2(a+c)] (H2O)n, where a and c are integers. These are not arbitrary formulae; the bond topology is such that all anions obey the valence-matching principle. The formulae of batisite, narsarsukite, titanite, the minerals of the labuntsovite group and quartz (Ti-free) are in accord with this general formula. In structures based on chains of edge-sharing (Ti 4+ 6) octahedra, the chains may be simple, branched or looped, and there is usually another complicating factor to the bond topology: additional components [e.g., (PO4), Cl, [4] Al, Cr 3+ ] are common. None of the resultant structures have cubic, hexagonal or trigonal symmetry. There are numerous silicate minerals containing chains of (TiO6) octahedra. In contrast, layers of (TiO6) octahedra are rare and occur only in four structure types, and frameworks of (TiO6) octahedra are not known in silicate minerals.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| 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) | 0.002 | 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".