Radiation Dose Converter
Convert between radiation dose units including grays, sieverts, rads, rems, and more.
1 Sv =
1,000
Millisievert (mSv)
1 Sv in all units
Quick Reference
1 Gray
= 100 rad
1 Sievert
= 100 rem
Annual limit (public)
1 mSv/year
Chest X-ray
~0.1 mSv
What is Radiation Dose?
Radiation dose is a measure of the energy deposited by ionizing radiation in matter, typically human tissue. It quantifies the biological effect of radiation exposure and is essential for radiation safety, medical imaging, nuclear medicine, and occupational health. There are two fundamentally different types of radiation dose: absorbed dose (measured in grays) and equivalent/effective dose (measured in sieverts), which account for different aspects of radiation interaction with the body.
The gray (Gy) is the SI unit of absorbed dose, defined as one joule of energy absorbed per kilogram of matter. It measures the physical energy deposited by radiation regardless of the radiation type. The rad is the older CGS unit, with 1 Gy = 100 rad. The gray is used in radiation therapy, industrial radiography, and scientific research.
The sievert (Sv) is the SI unit of equivalent and effective dose, which adjusts the absorbed dose for the biological effectiveness of different radiation types. The sievert accounts for the fact that alpha particles, for example, cause more biological damage per gray than gamma rays or X-rays. The rem is the older unit, with 1 Sv = 100 rem. The sievert is used in radiation protection, regulatory limits, and public health guidelines.
The relationship between gray and sievert depends on the radiation weighting factor. For X-rays, gamma rays, and beta particles, the weighting factor is 1, so 1 Gy = 1 Sv. For alpha particles, the weighting factor is 20, so 1 Gy of alpha radiation equals 20 Sv. This calculator converts between all common radiation dose units, helping professionals and the public understand radiation measurements in their preferred unit system.
Radiation Dose Conversion Formulas
All radiation dose conversions in this calculator are based on exact relationships between the SI units (gray, sievert) and their traditional counterparts (rad, rem).
The key conversion factors are: 1 Gy = 100 rad (exact), 1 Sv = 100 rem (exact), 1 Gy = 1 J/kg (exact by definition), 1 mGy = 0.001 Gy (exact), 1 μGy = 0.000001 Gy (exact), 1 mSv = 0.001 Sv (exact), and 1 μSv = 0.000001 Sv (exact).
For X-rays and gamma rays (the most common radiation types in medical imaging and radiation protection), the absorbed dose in grays numerically equals the equivalent dose in sieverts because the radiation weighting factor is 1. This simplifies many practical calculations: 1 mGy of X-ray exposure = 1 mSv of equivalent dose.
The milligray (mGy) and microgray (μGy) are commonly used in medical imaging, where doses are typically small. A chest X-ray delivers approximately 0.1 mGy (0.1 mSv), while a CT scan of the abdomen delivers about 10 mGy (10 mSv). The millisievert (mSv) is the standard unit for expressing annual dose limits and occupational exposure limits.
Radiation Dose Conversion Formulas
Where:
- Gy= Gray — SI unit of absorbed dose (1 Gy = 1 J/kg)
- rad= Rad — CGS unit of absorbed dose (1 rad = 0.01 Gy)
- Sv= Sievert — SI unit of equivalent/effective dose
- rem= Rem — CGS unit of equivalent dose (1 rem = 0.01 Sv)
- mGy= Milligray (1 mGy = 0.001 Gy)
- mSv= Millisievert (1 mSv = 0.001 Sv)
How to Use This Calculator
This radiation dose converter supports 11 different dose units with a bidirectional conversion interface:
- Enter the Value: Type the numerical dose value into the input field.
- Select the From Unit: Choose the source dose unit from the dropdown (e.g., Sv, Gy, mSv, rad).
- Select the To Unit: Choose the target dose unit from the second dropdown.
- Swap Units: Use the swap button to quickly reverse the conversion direction.
- View the Result: The main display shows the converted dose with the target unit label.
- Review All Conversions: The "All Conversions" panel shows the input value in all 11 supported units simultaneously, providing a complete reference for comparison.
Understanding the Results
The converter displays your input dose expressed in all 11 supported radiation dose units. The sievert (Sv) and millisievert (mSv) are the standard units for radiation protection and regulatory limits. The gray (Gy) and milligray (mGy) are used in radiation therapy and dosimetry. The rad and rem are the older CGS units still encountered in some contexts.
For reference, common radiation doses provide important context. A chest X-ray delivers approximately 0.1 mSv (0.0001 Sv). A dental X-ray delivers about 0.005 mSv. A CT scan of the head delivers about 2 mSv, while a CT of the abdomen delivers about 10 mSv. The annual occupational dose limit for radiation workers is 50 mSv, and the annual public dose limit is 1 mSv. A fatal whole-body dose is approximately 4,000 mSv (4 Sv) delivered acutely.
The Quick Reference panel provides the most commonly needed conversion factors and benchmark doses. These values help contextualize radiation measurements and understand whether a given dose is in the normal, elevated, or dangerous range.
Real-World Applications
Radiation dose conversion is essential in medical imaging and radiology. CT scanners, X-ray machines, and nuclear medicine equipment deliver radiation doses that must be carefully monitored and reported. A standard chest X-ray delivers about 0.1 mSv, while a full-body CT scan can deliver 10–20 mSv. Radiologists and medical physicists use dose conversion to compare exposures across different imaging modalities and ensure patient doses remain as low as reasonably achievable (ALARA principle).
In nuclear power plant operations, radiation dose monitoring is critical for worker safety. Nuclear workers wear personal dosimeters that measure cumulative dose in millisieverts. Regulatory limits (50 mSv/year for occupational exposure in most countries) are expressed in sieverts, while older equipment may report in rem. Accurate conversion ensures compliance with safety regulations and protects workers from excessive exposure.
Radiation therapy for cancer treatment uses much higher doses than diagnostic imaging, typically measured in grays. A typical radiation therapy course delivers 50–80 Gy to the tumor site over several weeks. Medical physicists must convert between grays and other units when calibrating treatment machines, comparing treatment protocols, and ensuring dose accuracy within 1–2% tolerance.
In environmental monitoring and emergency preparedness, radiation dose measurements are expressed in sieverts or rem. During nuclear incidents (Fukushima, Chernobyl), dose measurements were reported in mSv/h or μSv/h to help the public understand exposure levels. Converting between units ensures consistent communication among international agencies (IAEA, WHO, EPA) and the public.
Worked Examples
Convert 5 Sv to mSv
Problem:
Convert 5 sieverts to millisieverts.
Solution Steps:
- 1Identify the conversion factor: 1 Sv = 1000 mSv
- 2Multiply: 5 × 1000 = 5000 mSv
- 3Verify: 5000 mSv ÷ 1000 = 5 Sv (correct)
Result:
5 Sv = 5000 mSv
Convert 100 mGy to rad
Problem:
Convert 100 milligray to rad.
Solution Steps:
- 1Convert mGy to Gy: 100 × 0.001 = 0.1 Gy
- 2Convert Gy to rad: 0.1 × 100 = 10 rad
- 3Verify: 10 rad ÷ 100 = 0.1 Gy = 100 mGy (correct)
Result:
100 mGy = 10 rad
Convert 50 mSv to rem
Problem:
Convert 50 millisieverts to rem (the annual occupational dose limit).
Solution Steps:
- 1Convert mSv to Sv: 50 × 0.001 = 0.05 Sv
- 2Convert Sv to rem: 0.05 × 100 = 5 rem
- 3Verify: 5 rem ÷ 100 = 0.05 Sv = 50 mSv (correct)
Result:
50 mSv = 5 rem (the annual occupational dose limit)
Tips & Best Practices
- ✓For X-rays and gamma rays, the gray and sievert are numerically equal (1 Gy = 1 Sv).
- ✓The annual public dose limit is 1 mSv — about 10 chest X-rays worth of radiation.
- ✓Use mSv for comparing medical imaging doses and μSv/h for environmental measurements.
- ✓A chest X-ray delivers about 0.1 mSv — a useful benchmark for understanding dose levels.
- ✓The ALARA principle (As Low As Reasonably Achievable) guides radiation protection practice.
- ✓Always verify which unit (Gy or Sv) is being used when interpreting radiation measurements.
Frequently Asked Questions
Sources & References
Last updated: 2026-06-06
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Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
Formula Source: NIST Guide to SI Units
by National Institute of Standards