Beta & Electron beta_skin_dose_calc
Beta Skin & Shallow Dose Rate (Hp(0.07))
Models shallow contact and standoff equivalent dose rates to the skin basal layer (ICRP 70 µm depth) from beta point sources accounting for geometric falloff and air attenuation.
Ḣ_p(0.07) = 300 × A × [e^(−μ_air × d) / d²]
RADCALC HEALTH PHYSICS & NUCLEAR ENGINEERING WORKSHEET
Beta Skin & Shallow Dose Rate (Hp(0.07)) (Beta Skin Dose)
Domain: Beta & Electron Dosimetry · Tool ID:
beta_skin_dose_calc · Engine: 100% Local Browser WASM Ḣ_p(0.07) = 300 × A × [e^(−μ_air × d) / d²]
Operational Notes:
Guided Stepper Workflow All Input Parameters & Solver
1
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2
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Pre-fill realistic health physics values, then refine individual parameters or jump straight to the result.
All Parameters Entered
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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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CLIENT-SIDE 3D SIMULATION Beta Skin & Shallow Dose Rate (Hp(0.07)) 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 beta_skin_dose_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
Shallow Dose Rate (rad/hr) = 300 × Activity (mCi) × exp(−μ_air × Distance) / Distance² (cm²)
| Symbol | Parameter | Default Unit | Definition |
|---|---|---|---|
| A | Beta Source Activity | mCi | Activity of the point beta source in millicuries. |
| d | Standoff Distance | cm | Distance between beta source and target skin surface in cm. |
| E_max | Beta Endpoint Energy | mev | Maximum beta endpoint energy in Mega-electronvolts. |
| Ḣ_p(0.07) | Shallow Skin Dose Rate | rad/hr | Shallow dose equivalent rate at 70 µm tissue depth in rad/hr. |
Health Physics Notes & Related Calculators
Operational Guidance & Physics Assumptions
- The Delacroix / Health Physics formula provides 300 rad*cm²/(hr*mCi) at 1 cm unattenuated in air.
- Apparent air attenuation coefficient: μ_air = 0.017 * (E_max - 0.036)^(-1.37) cm⁻¹.
- 10 CFR 20.1201 occupational shallow dose equivalent (SDE) limit to skin or extremities is 50 rem/year (500 mSv/year).
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