Level 5 · Graduate study teaching kit · Master’s and early doctoral level
Advanced nuclear and lattice-assisted reactions
Use the learner record during the live investigation, then use the instructor guide to facilitate comparison, address misconceptions, and assess evidence-bounded reasoning.
Learner lab record
Reaction-network yield and facility-gain ledger
How do cross sections, screening, branching, detector acceptance, and beam power combine into a defensible nuclear-reaction claim?
Setup
Use the nuclear-network laboratory. Declare projectile flux, areal density, channel cross sections, screening, Q values, efficiencies, and acceptance; then compare physical yields, detector counts, heat, and facility input.
Predict first
- 1. Predict thin-target yield when beam rate doubles.
- 2. Predict whether detector efficiency changes physical reaction rate or only recorded counts.
| Variable | Role | Unit |
|---|---|---|
| Beam rate and target areal density | experimental inputs | particles/s and nuclei/area |
| Channel cross sections and screening | model inputs | area and dimensionless |
| Reaction yields and detector counts | dependent | events/s and counts/s |
| Nuclear energy, beam input, heat, facility gain | energy diagnostics | W and dimensionless |
Observation columns
Analyze
- 1. Do channel branches close probabilistically?
- 2. Which correction changes the reaction model versus detector response?
- 3. Are heat and nuclear products mutually consistent?
- 4. Does positive reaction Q imply facility gain above one?
Conclusion frame
For channel ___, modeled yield was ___ and expected counts ___; nuclear power ___ versus facility input ___ gives gain ___, supporting claim ___ only.
Instructor guide · 75–95 minutes
Teach the investigation, not the interface
Learning target: Learners connect reaction-network physics to calibrated multi-channel detection and separate reaction evidence, mechanism, heat, and engineering gain.
Prepare
- • Review cross-section and areal-density units.
- • Define every network branch and detector efficiency.
- • Prepare one calorimetric/product inconsistency case.
Facilitation moves
- • Trace nuclei before energy claims.
- • Keep screening, acceptance, and efficiency in separate columns.
- • Require independent channel closure and facility power accounting.
Accessibility and participation
- • Use a channel-flow diagram with numeric labels.
- • Translate cross sections into interaction probabilities.
- • Provide a separate reaction and facility ledger.
Evidence of learning
- • A closed reaction network
- • A detector-calibrated yield
- • A reaction-versus-facility-gain distinction
Misconception checks
Excess heat alone identifies a nuclear pathway.
Mechanism requires products, branching, kinematics, calibration, backgrounds, and energy consistency.
Positive Q value guarantees net useful power.
Reaction probability, beam/driver input, capture, thermal conversion, and facility loads determine gain.
Extension
Add a competing background channel and design two orthogonal detectors that identify branching without double counting.