Neutron & Activation neutron_activation_calc
Thermal Neutron Activation & Saturation
Calculates neutron capture (n,γ) radioisotope production, saturation activity limits in reactor flux traps, and residual activity after decay cooling.
A = N × σ × Φ × (1 − e^(−λ t_irr)) × e^(−λ t_cool)
RADCALC HEALTH PHYSICS & NUCLEAR ENGINEERING WORKSHEET
Thermal Neutron Activation & Saturation (Neutron Activation)
Domain: Neutron Shielding & Activation · Tool ID:
neutron_activation_calc · Engine: 100% Local Browser WASM A = N × σ × Φ × (1 − e^(−λ t_irr)) × e^(−λ t_cool)
Operational Notes:
Guided Stepper Workflow All Input Parameters & Solver
1
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2
Start from a Field Scenario Preset (Optional)
Pre-fill realistic health physics values, then refine individual parameters or jump straight to the result.
All Parameters Entered
Review Inputs & Calculated Result
Solved Output Live WASM Readout
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Entered Input Parameters (Tap any row to edit)
Calculated Result & Visual Analysis
Nominal Solved Value Updated automatically
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Enter parameters on the left to calculate.
CLIENT-SIDE 3D SIMULATION Thermal Neutron Activation & Saturation 3D Transport Field
Interactive 3D Geometry & Particle Transport
WebGPU / WebGL2 Ready
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Checking Browser 3D Capabilities… Probing WebGPU adapter, WebGL 2.0, and WebGL 1.0 contexts locally.
Geometry & Field Diagram
Interactive Model
Sensitivity Curve
Normalized Base-Unit & WebMCP Tool Payload neutron_activation_calc
1. Input & Solved Parameter Ledger
| Role | Symbol | Parameter Name | Entered / Display Value | Normalized Base Unit | Definition |
|---|
2. Neutron Physics & Activation Schedule
Governing Equation & Parameters
Induced Activity (Bq) = Target Nuclei × Capture Cross-Section × Thermal Flux × Saturation Factor × Cooling Factor
| Symbol | Parameter | Default Unit | Definition |
|---|---|---|---|
| m | Target Element Mass | g | Physical mass of the target element irradiated in grams. |
| σ | Thermal Capture Cross-Section | barns | Microscopic radiative capture cross-section in barns (10⁻²⁴ cm²). |
| Φ | Thermal Neutron Flux | n/(cm2*s) | Thermal neutron fluence rate in neutrons/(cm²·s). |
| T_½ | Product Half-Life | s | Radioactive half-life of the activation product in seconds. |
| t_irr | Irradiation Duration | s | Total beam irradiation time in seconds. |
| t_cool | Decay Cooling Duration | s | Post-irradiation decay cooling time in seconds before handling. |
| M | Target Molar Mass | g/mol | Standard molar mass of target element in g/mol. |
| θ | Target Isotopic Abundance | fraction | Fractional isotopic abundance of the target nuclide (0 to 1.0). |
| A | Induced Radioactivity | Bq | Resulting product radioactivity at end of cooling in Becquerels. |
Health Physics Notes & Related Calculators
Operational Guidance & Physics Assumptions
- Target nuclei count: N = (m * abundance * N_A) / M_molar, where N_A = 6.02214 × 10²³ mol⁻¹.
- Saturation activity A_sat = N * σ * Φ is the physical maximum activity achievable; at t_irr = 1 half-life, activity reaches 50% of saturation; at 3 half-lives, 87.5%.
- Thermal neutron cross-sections are expressed in barns (1 barn = 10⁻²⁴ cm²).
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