Specific heat study and Landau analysis of the phase transition in PbTiO<sub>3</sub>single crystals
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Bibliographic record
Abstract
The specific heat of pure lead titanate (PbTiO3) crystals grown by the float-zone method is reported at temperatures of 325–1250 K. The excess specific heat associated with the ferroelectric phase transition was analysed using a 2–4–6 Landau potential to self-consistently determine the Curie–Weiss temperature, the transition points, the total transition enthalpy, as well as the latent heat and entropy discontinuity at the first-order phase change. The temperature ranges over which various excess thermodynamic quantities obeyed the mean-field predictions of the Landau theory were investigated. The coefficients of the Landau potential were also determined, and the results compared to corresponding measurements made on pure polycrystalline lead titanate specimens. The implications of the results with respect to prior discrepancies reported for the first-order character of the phase transition in lead titanate crystals are discussed.
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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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| 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) | 0.000 | 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