Landau model for the elastic properties of the ferroelastic crystal Rb<sub>4</sub>LiH<sub>3</sub>(SO<sub>4</sub>)<sub>4</sub>
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Bibliographic record
Abstract
Using sound velocity measurements, we report a detailed investigation of the elastic properties of Rb(4)LiH(3)(SO(4))(4) realized as a function of temperature and pressure. Results are compared to predictions of a phenomenological Landau model. Supported by recent Raman scattering measurements, we assume that the [Formula: see text] structural transformation observed at T(c) = 134 K corresponds to a pseudo-proper ferroelastic transition. For the numerical analysis, all coupling parameters are determined using the temperature dependence of the frequency of the soft optical B mode, the temperature dependence of spontaneous strains, and the pressure dependence dT(c)/dP = 191 ± 2 K GPa(-1) also determined in this work. Our comparison indicates that the [Formula: see text] structural transition in Rb(4)LiH(3)(SO(4))(4) is fully consistent with predictions derived using our pseudo-proper ferroelastic model. Thus, all data presented in this paper corroborate that the mechanism leading to the structural transition at T(c) = 134 K results from the softening of the B optical mode observed at 31 cm(-1). This detailed analysis also refutes the idea that Rb(4)LiH(3)(SO(4))(4) shows incomplete softening of the soft acoustic mode also associated with that structural transition.
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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) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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