Radiation Dose Calculator
Calculate occupational radiation dose from external gamma sources using inverse square law, shielding HVLs, and compare against OSHA/NRC annual dose limits.
About this calculator
This calculator estimates external gamma radiation exposure using two well-established physics relationships. First, the inverse square law: dose rate at a distance = (source activity × isotope-specific gamma constant) / distance², so doubling your distance from a source cuts the dose rate to one-quarter, not one-half — a fact people frequently underestimate. The gamma constant (Γ) varies significantly by isotope (the tool notes Cs-137 ≈ 85, Co-60 ≈ 305, Ir-192 ≈ 130 µSv·m²/(GBq·hr)), so picking the right constant for your actual source matters far more than most other inputs.
Second, shielding is modeled through half-value layers (HVLs): each HVL of shielding material you enter multiplies the dose rate by exactly 0.5, following true exponential attenuation, so 3 HVLs of any material reduces dose to 12.5% regardless of what the material actually is (the calculator doesn't distinguish lead from concrete — you must convert your shielding thickness to HVLs for the specific material and photon energy elsewhere first). From the shielded dose rate, it multiplies by your daily exposure hours and workdays per year to project an annual dose in millisieverts, then expresses that as a percentage of both the OSHA occupational limit under 29 CFR 1910.1096 (a whole-body limit of 1.25 rem per calendar quarter — 5 rem, or 50 mSv, per year under the standard limit) and the more conservative ICRP recommendation from ICRP Publication 103 (20 mSv/year averaged over defined five-year periods, with no single year exceeding 50 mSv) — flagging that meeting the legal OSHA limit does not necessarily satisfy modern ALARA (As Low As Reasonably Achievable) practice. It also back-solves the inverse square equation for two reference boundaries: the distance at which dose rate falls to 2 µSv/hr (a common controlled-area threshold) and to 0.25 µSv/hr (a stricter ALARA/unrestricted-area target), both before any additional shielding beyond what you've specified.
Inputs
Results
Dose rate (µSv/hr)
16.25
Figures current as of 2026. Sources: U.S. Department of Labor, Occupational Safety and Health Administration, 29 CFR 1910.1096, Ionizing Radiation — Table G-18 whole-body limit of 1.25 rem per calendar quarter (the standard limit that yields 5 rem/50 mSv over a full year), with a higher age-prorated cumulative limit available under 1910.1096(b)(2)(ii), International Commission on Radiological Protection, ICRP Publication 103, The 2007 Recommendations of the International Commission on Radiological Protection, Ann. ICRP 37 (2-4), Section 5.10 (Dose Limits)
How to Use This Calculator
- Enter Source activity (GBq), Gamma constant (µSv·m²/(GBq·hr)), and Distance from source (m).
- Set Shielding (# of HVLs), Exposure hours/day, and Workdays per year.
- Review the Dose rate (µSv/hr) result.
- Use Daily dose (µSv) and Annual dose (mSv) to inform your decision.
How the result changes with Distance from source (m)
| Distance from source (m) | Dose rate (µSv/hr) |
|---|---|
| 1 | 65 |
| 1.5 | 28.89 |
| 3 | 7.22 |
| 5 | 2.6 |
What each input means
- Source activity (GBq)
- Radioactive source activity in gigabecquerels (1 Ci = 37 GBq).
- Gamma constant (µSv·m²/(GBq·hr))
- Specific gamma ray constant for the isotope. Cs-137 ≈ 85, Co-60 ≈ 305, Ir-192 ≈ 130.
- Distance from source (m)
- Distance from the radiation source in metres.
- Shielding (# of HVLs)
- Number of half-value layers of shielding material between source and worker. Each HVL halves the dose.
- Exposure hours/day
- Hours per workday spent near the source.
- Workdays per year
- Number of working days per year for annual dose projection.
What each result means
- Dose rate (µSv/hr)
- Shielded dose rate at the specified distance in microsieverts per hour.
- Daily dose (µSv)
- Total daily dose based on hours of exposure.
- Annual dose (mSv)
- Projected annual occupational dose in millisieverts.
- % of OSHA limit (50 mSv/yr)
- Annual dose as percentage of the OSHA/NRC 50 mSv/year occupational limit.
- 2 µSv/hr boundary (m)
- Distance at which dose rate drops to 2 µSv/hr (controlled area boundary).
- 0.25 µSv/hr boundary (m)
- Distance for 0.25 µSv/hr (unrestricted/ALARA area boundary).
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersSource activity (GBq) = 0.5, Gamma constant (µSv·m²/(GBq·hr)) = 130, Distance from source (m) = 2, Shielding (# of HVLs) = 0 = 6 input(s) provided
- Calculate Dose rateDose rate = unshieldedDoseRate * shieldingFactor16.25 = 16.25
- Calculate Daily doseDaily dose = shieldedDoseRate * exposureHrsDay97.5 = 97.5
- Calculate Annual doseAnnual dose = (dailyDoseUSv * workdaysPerYear) / 100024.375 = 24.375
Figures and sources
- OSHA 29 CFR 1910.1096 — occupational ionizing radiation dose limit (1.25 rem per calendar quarter, Table G-18) (2026) — U.S. Department of Labor, Occupational Safety and Health Administration, 29 CFR 1910.1096, Ionizing Radiation — Table G-18 whole-body limit of 1.25 rem per calendar quarter (the standard limit that yields 5 rem/50 mSv over a full year), with a higher age-prorated cumulative limit available under 1910.1096(b)(2)(ii)
- ICRP recommended occupational effective dose limit — 20 mSv/year averaged over defined 5-year periods, not exceeding 50 mSv in any single year (2007) — International Commission on Radiological Protection, ICRP Publication 103, The 2007 Recommendations of the International Commission on Radiological Protection, Ann. ICRP 37 (2-4), Section 5.10 (Dose Limits)
Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does doubling my distance from the source cut the dose rate to a quarter, not half?
The dose rate formula divides by distance squared (dose rate = A × Γ / d²), so it follows the inverse square law rather than a simple inverse relationship. Doubling d multiplies the denominator by 4, so the dose rate drops to one-quarter of its original value — this is why stepping back even a small additional distance from a gamma source is disproportionately effective at reducing exposure.
What exactly is a half-value layer, and why does the calculator only accept a count of HVLs rather than a material thickness?
A half-value layer is however much thickness of a specific shielding material, at a specific photon energy, is needed to cut the dose rate by 50%; the calculator applies shieldingFactor = 0.5^HVLs, so every additional HVL you enter halves the dose again regardless of what the material physically is. It intentionally doesn't convert real thickness to HVLs for you, because that conversion depends on both the shielding material (lead attenuates far more per centimeter than concrete) and the source's photon energy, which you'd need to look up separately.
How are the 2 µSv/hr and 0.25 µSv/hr boundary distances calculated?
Both back-solve the same inverse-square equation used for the dose rate, rearranged for distance: d = sqrt(A × Γ × shieldingFactor / target rate). The 2 µSv/hr figure reflects a common controlled-area boundary, while 0.25 µSv/hr is a stricter ALARA/unrestricted-area target, so the second distance is always larger — you have to stand roughly 2.8 times farther away to reach the stricter target, since the target rate in the denominator is 8 times smaller and distance scales with its square root.
Why does the gamma constant matter more than most other inputs?
The gamma constant (Γ) is a linear multiplier on dose rate, but unlike distance or shielding it varies by roughly a factor of 3-4 between common isotopes — the calculator notes Cs-137 ≈ 85, Ir-192 ≈ 130, and Co-60 ≈ 305 µSv·m²/(GBq·hr) — so using the wrong isotope's constant produces an error of that same magnitude in every downstream result, from annual dose to both boundary distances.
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