Formulation of Time Dependent Bloch NMR Equations for Computational Analyses of Nano Particles in Porous Media
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Bibliographic record
Abstract
Nuclear Magnetic Resonance (NMR) has been very useful in the study of pore size distribution of porous materials and in molecular recognition.Important properties of the porous media have been shown to be very much dependent on the T 1 and T 2 relaxation times.The NMR transverse magnetization carries information on the pores' properties.This has been demonstrated by many experiments on porous media but analytical expressions showing the direct relationships between the pore features and the NMR parameters have been quite scarce in literature.In this study, formulation of time dependent Bloch NMR equation for computational analyses of nano particles in porous media has been presented.Since the nano particle is expected to be imaged in a nano-porous medium, we apply the transformation that makes the NMR transverse magnetization expressible in term of with porosity .Two new parameters which validate the transformation are properly defined in terms of the porosity, T 1 and T 2 relaxation parameters.The results obtained in this study can have applications in functional magnetic resonance imaging (fMRI), Petroleum exploration and well design, geological engineering and could be a frontier towards a very robust way of describing porousity and permeability in systems transporting particles of specific shape and form.
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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 | 0.001 | 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)
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