A billion times smaller than us: helping students comprehend the molecular scale
Bibliographic record
Abstract
Abstract Comprehension of molecular scale is an essential component of a chemistry student’s education. However, it is especially difficult for most to wrap their heads around just how small the nanometer scale is at which the molecules they are taught about exist. Using 3D printing techniques to aid in visualization, we can model spherical molecules, namely buckminsterfullerene (C 60 ) and the cuboctahedral gold cluster Au 55 , and scale them up by eight orders of magnitude. The new size of these molecules is comparable to a globe 13 cm in diameter, a model of the Earth scaled down by eight orders of magnitude. Seeing and holding both of these objects resized to similar dimensions, students are able to get a sense of how the molecular scale compares to the handheld scale. The fact that the molecule is scaled up by a factor of 10 24 in volume also nicely contextualizes the magnitude of Avogadro’s number (∼0.6 × 10 24 ), the constant of proportionality that converts the molecular scale to the handheld scale.
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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 | 0.002 | 0.002 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.031 | 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".