Mechanical resonance of clamped silicon nanowires measured by optical interferometry
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Bibliographic record
Abstract
The mechanical resonance of laterally grown silicon nanowires measured by an optical interferometric technique is reported. The lengths and diameters of the nanowires ranged from L=2to20μm and D=39to400nm, respectively. The wires showed resonant frequencies in the f0=1–12MHz range and resonant quality factors Q at low pressure ranging from Q=5000 to Q=25000. The dependence of resonant frequency on the ratio of diameter to length squared, D∕L2, yielded a ratio of E∕ρ=9400±450m∕s. Assuming a density of ρ=2330kg∕m3, this experimental result yields an experimental Young modulus of E=205±10GPa, consistent with that of a bulk silicon. As the wires were cooled from T=270KtoT=77K, a 0.35% increase of resonant frequency was observed. This increase of resonant frequency with cooling resulted from a change in Young’s modulus and from the thermal contraction of silicon. The quality factor did not vary significantly from P=10−4to102Torr, suggesting that viscous damping does not dominate the dissipative processes in this pressure range. Although viscous damping became important above P=102Torr, relatively high quality factors of Q=7000 were still observed at atmospheric pressure.
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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 | 0.000 |
| 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)
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