Quasilocalized Vibrations in Vitreous Silica
Bibliographic record
Abstract
The properties of quasilocalized atomic vibrations in numerical models of vitreous silica are studied by means of a demixing technique. The low‐frequency vibrational modes are decomposed into bare non‐localized (plane‐wave‐like) modes and bare localized modes (BLMs). The BLMs are shown to exhibit three distinct spatial regions, characterized by different decay behaviors of the displacement field amplitude: the core, tail, and crossover regions. In the core region near the center of localization, the displacement amplitude decays exponentially with a typical localization length being on the order of the interatomic spacing. In the tail region, the decay of the displacement amplitude follows approximately a power law characterized by a decay exponent α , found to be in the range . The crossover between the core and tail regions takes place at about 10 Å. By means of a local symmetry‐mode comparative projection technique, a distinct similarity in the local vibrational motion for quasilocalized modes in vitreous silica and optic phonons in α ‐cristobalite is demonstrated.
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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 | 0.000 | 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) | 0.001 | 0.001 |
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".