Modeling Stretching Modes of Common Organic Molecules with the Quantum Mechanical Harmonic Oscillator. An Undergraduate Vibrational Spectroscopy Laboratory Exercise
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
An undergraduate exercise in vibrational spectroscopy is described, involving the prediction of wavenumber positions for absorptions associated with stretching vibrational modes of common organic molecules. This is done by modeling the portion of the molecule undergoing the bulk of the normal mode motion with a pseudodiatomic molecule, for which the known solution to the quantum-mechanical harmonic oscillator is approximately valid. Student-generated stretching vibrational mode data are used to determine an effective single-bond force constant for stretching modes of any typical covalently bound molecule composed of C, H, O, and N. Double- and triple-bond stretching modes are treated as having a force constant equal to twice or three times the single-bond value. The effective single-bond force constant is then refined to obtain the best possible value for stretching modes of organic molecules, 556 N m -1 for our data set. The exercise demonstrates that, for a well-behaved class of molecules, the major causes for the variation in the position of infrared spectroscopic absorptions due to stretching modes are (i) changes in the mass of the nuclei involved and (ii) changes in the order of the bond. The basic approach to refining a model is illustrated as well.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.001 |
| 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