A Crystallographically Supported Equation for Calculating Water in Emerald from the Sodium Content
Bibliographic record
Abstract
ABSTRACT Emerald is the most well-recognized beryl (Be3Al2Si6O18) variety, and although it has been extensively studied, a satisfactory method for quantifying the water content within the structural channels of the crystal lattice has yet to be proposed. Water is frequently present in the structural channels of beryl and can occur in two orientations (Type I and Type II). While spectroscopic methods are ideal for determining the orientation of the water molecules, measuring the overall water content often requires expensive or destructive analytical techniques. Sodium is necessary to charge-balance divalent cation substitutions at the Al site of beryl; it is also correlated with H2O in the structural channels, which typically occurs as Type II water. In this study, we present equations that can be used to easily calculate the H2O content of an emerald beryl with significant Na+ content based on either Na+apfu or Na2O weight percent. Unlike previous work, these equations are derived from single-crystal X-ray diffraction data which can be used to accurately measure both the Na+ and H2O contents. We checked the validity of the data using electron probe microanalyses for elements heavier than O. We compared the results with hypothetical scenarios in which different cation substitutions are prevalent, as weight percentages are variable based on the elemental contents. Our results indicate that Na+ or Na2O weight percent can be used to calculate H2O content in emerald beryl with reasonable accuracy, which will allow future researchers to use a simple calculation instead of expensive or destructive techniques when determining H2O content in emeralds.
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How this classification was reachedexpand
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 | 0.001 | 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) | 0.001 | 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 teacher head, 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".