Nonlinear material properties of quartz determined by the resonator method
Bibliographic record
Abstract
Attempts to provide least-squares estimates of all 31 independent thrid-order nonlinear electromechanical constants of alpha quartz using the resonator method produce parameters containing third-order elastic constants linearly combined with the remaining three types of electromechanical nonlinearities: electroelastic, electrostrictive and dielectric. To maximize the yield of the resonator method in terms of these latter three types of nonlinear constants, the third-order elastic constants must be "imported" from an external source. They can be introduced, with the same effect, before or after the least-squares process is executed. Their reliability is crucial for the quality of the electroelastic constants and apparently (considering the size of their respective standard errors) less important for the electrostrictive and third-order dielectric constants. A comparison with the results of others, yielding in most cases an excellent agreement, is facilitated by introducing uniformity into the values of the linear constants used for their determination. This produces changes in the calculated nonlinear parameters but does not remove the few differences which were noted.
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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 | 0.001 | 0.003 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.003 | 0.002 |
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".