Beta & Electron beta_range_calc
Beta Particle Maximum Range & Stopping Thickness
Calculates continuous-slowing-down approximation (CSDA) maximum range and shield thickness required to stop 100% of primary beta particles across various absorbers.
R = 0.412 × E^(1.265 − 0.0954 ln E) (Katz-Penfold) / 0.542 E − 0.133 (Feather)
RADCALC HEALTH PHYSICS & NUCLEAR ENGINEERING WORKSHEET
Beta Particle Maximum Range & Stopping Thickness (Beta Range)
Domain: Beta & Electron Dosimetry · Tool ID:
beta_range_calc · Engine: 100% Local Browser WASM R = 0.412 × E^(1.265 − 0.0954 ln E) (Katz-Penfold) / 0.542 E − 0.133 (Feather)
Operational Notes:
Guided Stepper Workflow All Input Parameters & Solver
1
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Select your target output variable. The stepper will guide you through only the required inputs.
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 Beta Particle Maximum Range & Stopping Thickness 3D Transport Field
Interactive 3D Geometry & Particle Transport
WebGPU / WebGL2 Ready
3D Hardware Acceleration & Browser Compatibility Status Inspect Requirements ↓
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 beta_range_calc
1. Input & Solved Parameter Ledger
| Role | Symbol | Parameter Name | Entered / Display Value | Normalized Base Unit | Definition |
|---|
2. Charged-Particle Stopping & Shallow Dose Hp(0.07)
Governing Equation & Parameters
Areal Range (g/cm²) = Katz-Penfold (E < 0.6 MeV) or Feather (E ≥ 0.6 MeV); Linear Thickness (cm) = Areal Range / Density
| Symbol | Parameter | Default Unit | Definition |
|---|---|---|---|
| E_max | Beta Endpoint Energy | mev | Beta particle maximum endpoint energy in Mega-electronvolts. |
| R | Areal Mass Range | g/cm2 | Continuous slowing down approximation mass stopping thickness in g/cm². |
| ρ | Absorber Density | g/cm3 | Density of the absorbing material in g/cm³. |
| t | Linear Shield Thickness | cm | Physical linear thickness of shield required to stop 100% of betas in cm. |
Health Physics Notes & Related Calculators
Operational Guidance & Physics Assumptions
- The Feather empirical relationship applies to beta endpoint energies between 0.6 MeV and ~3.0 MeV: R = 0.542 E_max - 0.133 g/cm².
- The Katz-Penfold equation provides high accuracy down to 0.01 MeV: R = 0.412 E_max^(1.265 - 0.0954 ln E_max) g/cm².
- Beta particles exhibit continuous energy loss via inelastic Coulomb collisions, resulting in a well-defined finite maximum range unlike exponential photon attenuation.
- Stopping high-energy beta emitters in low-Z materials (acrylic/Lucite, polycarbonate) prevents hazardous secondary Bremsstrahlung X-ray generation.
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