Complete Nuclear Dipolar Line Shapes for High Transverse Field μSR
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Bibliographic record
Abstract
It is common in analysis of transverse field TF-μSR data to assume that the line shape contribution of the nuclear spin lattice is Gaussian. Yet, evaluation of the muon-nuclear dipolar Hamiltonian is trivial in the high field limit subject to conditions of the TF-μSR experiment. Here we clarify the experimental requirements needed to satisfy the high field limit, and point the reader to previously published calculations in this regime. We describe our calculation method and present line shapes for the tetrahedral and octahedral sites in copper for external magnetic field directions parallel to the method of Van Vleck. As illustrated by the calculated line shapes, dipolar broadening at the muon site is highly sensitive to the direction of the external magnetic field. Judicious choice of the external field direction can be used to minimize dipolar broadening and departures of the line shape from a gaussian character. The calculation is a valuable tool to predict field dependence for a given muon site. Alternatively, it may be used to determine the muon site from experimental data obtained at various field orientations. In situations where the line shape is not well fit by a Gaussian and/or where the muon induces lattice distortion, the calculation is a valuable tool to better fit the μSR data.
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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) | 0.000 | 0.000 |
Machine scores (provisional)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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