Geometries, Stabilities, and Vibrational Properties of Bimetallic Mo<sub>2</sub>-Doped Ge<i><sub>n</sub></i> (<i>n</i> = 9−15) Clusters: A Density Functional Investigation
Bibliographic record
Abstract
Geometries of the bimetallic Mo2Gen (n = 9-15) clusters have been investigated systematically with the density functional approach. The relative stabilities and charge-transfer and vibrational properties of these clusters are presented and discussed. The dominant geometries of Mo2Gen (n = 9-12) clusters can be described as one Mo atom inside a Ge cage and another Mo atom on the surface at smaller sizes with n = 9-12. Interestingly, the stable geometry of Mo2Ge9 cluster has the framework which is analogous to a recent experimental observation (Goicoechea, J. M.; Sevov, S. C. J. Am Chem. Soc. 2006, 128, 4155). The calculated fragmentation energies and the obtained relative stabilities demonstrate that the remarkable Mo2-doped Ge12 is the most stable species of all different sized clusters. The critical size of Mo2-encapsulated cagelike germanium clusters appears at n = 15. The largest energy gap and strongest stability of Mo2Ge12 enable this species to be a unit of multiple metal Mo-doped germanium nanotubes. Vibrational mode analyses of Mo2Gen clusters demonstrate that the Mo-Mo stretching vibrations are sensitive to the geometries of the germanium frame, and that the point-group symmetry of germanium clusters can vary the Mo-Mo stretching vibration relative to the IR inactive vibration.
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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) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 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 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".