Radiation Converter

Radiation Units Converter: Understanding Gray, Sievert, Becquerel, Curie & Roentgen - Complete Guide to Radiation Safety

Radiation is energy traveling through space—from cosmic rays bombarding Earth to X-rays that help doctors see inside your body. Understanding radiation units is critical for medical professionals, nuclear workers, and anyone concerned about radiation safety. But here's what most people don't know: there are four completely different types of radiation measurements, and you absolutely cannot convert between them without additional information. This guide explains absorbed dose (Gray, rad), equivalent dose (Sievert, rem), radioactivity (Becquerel, Curie), and exposure (Roentgen)—with conversion formulas, real-world examples, fascinating history, and safety guidelines.

What You Can Convert
This converter handles 40+ radiation units across four distinct measurement categories: Absorbed Dose (Gray, rad, J/kg), Equivalent Dose (Sievert, rem), Activity (Becquerel, Curie, dps), and Exposure (Roentgen, C/kg). Critical: You can ONLY convert within each category—converting between categories requires additional physics data like radiation type, energy, geometry, and tissue composition.

What is Radiation?

Radiation is energy that travels through space or matter. It can be electromagnetic waves (like X-rays, gamma rays, or light) or particles (like alpha particles, beta particles, or neutrons). When radiation passes through matter, it can deposit energy and cause ionization—stripping electrons from atoms.

Types of Ionizing Radiation

Alpha Particles (α)

Helium nuclei (2 protons + 2 neutrons). Stopped by paper or skin. Very dangerous if ingested/inhaled. Q-factor: 20.

Penetration: Low

Hazard: High internal hazard

Beta Particles (β)

High-speed electrons or positrons. Stopped by plastic, aluminum foil. Moderate penetration. Q-factor: 1.

Penetration: Medium

Hazard: Moderate hazard

Gamma Rays (γ) & X-rays

High-energy photons. Require lead or thick concrete to stop. Most penetrating. Q-factor: 1.

Penetration: High

Hazard: External exposure hazard

Neutrons (n)

Neutral particles from nuclear reactions. Stopped by water, concrete. Variable Q-factor: 5-20 depending on energy.

Penetration: Very high

Hazard: Severe hazard, activates materials

Why Multiple Unit Types?

Because radiation effects depend on BOTH the physical energy deposited AND the biological damage caused, we need different measurement systems. A chest X-ray and plutonium dust might deliver the same absorbed dose (Gray), but the biological damage (Sievert) is vastly different because alpha particles from plutonium are 20× more damaging per unit energy than X-rays.

Memory Aids & Quick Reference

Quick Mental Math

  • **1 Gy = 100 rad** (absorbed dose, easy to remember)
  • **1 Sv = 100 rem** (equivalent dose, same pattern)
  • **1 Ci = 37 GBq** (activity, exactly by definition)
  • **For X-rays: 1 Gy = 1 Sv** (Q factor = 1)
  • **For alpha: 1 Gy = 20 Sv** (Q factor = 20, 20× more damaging)
  • **Chest X-ray ≈ 0.1 mSv** (memorize this benchmark)
  • **Annual background ≈ 2.4 mSv** (global average)

The Four Category Rules

  • **Absorbed Dose (Gy, rad):** Physical energy deposited, no biology
  • **Equivalent Dose (Sv, rem):** Biological damage, includes Q factor
  • **Activity (Bq, Ci):** Radioactive decay rate, not exposure
  • **Exposure (R):** Old unit, X-rays in air only, rarely used
  • **Never convert between categories** without physics calculations

Radiation Quality (Q) Factors

  • **X-rays & gamma:** Q = 1 (so 1 Gy = 1 Sv)
  • **Beta particles:** Q = 1 (electrons)
  • **Neutrons:** Q = 5-20 (energy-dependent)
  • **Alpha particles:** Q = 20 (most damaging per Gy)
  • **Heavy ions:** Q = 20

Critical Mistakes to Avoid

  • **Never assume Gy = Sv** without knowing radiation type (only true for X-rays/gamma)
  • **Can't convert Bq to Gy** without isotope, energy, geometry, time, mass data
  • **Roentgen ONLY for X/gamma in air** — doesn't work for tissue, alpha, beta, neutrons
  • **Don't confuse rad (dose) with rad (unit of angle)** — completely different!
  • **Activity (Bq) ≠ Dose (Gy/Sv)** — high activity doesn't mean high dose without geometry
  • **1 mSv ≠ 1 mGy** unless Q=1 (for X-rays yes, for neutrons/alpha NO)

Quick Conversion Examples

1 Gy= 100 rad
1 Sv= 100 rem
0.1 mSv= 10 mrem (chest X-ray)
1 Ci= 37 GBq
400 MBq= 10.8 mCi (PET scan)
1 mGy X-ray= 1 mSv (Q=1)
1 mGy alpha= 20 mSv (Q=20!)

Mind-Blowing Radiation Facts

  • You receive about 2.4 mSv of radiation per year just from natural sources—mostly radon gas in buildings
  • A single chest X-ray equals eating 40 bananas in radiation dose (both ~0.1 mSv)
  • Astronauts on the ISS receive 60 times more radiation than people on Earth—about 150 mSv/year
  • Marie Curie's century-old notebooks are still too radioactive to handle; they're stored in lead-lined boxes
  • Smoking a pack daily exposes lungs to 160 mSv/year—from polonium-210 in tobacco
  • Granite countertops emit radiation—but you'd need to sleep on them for 6 years to equal one chest X-ray
  • The most radioactive place on Earth isn't Chernobyl—it's a uranium mine in Congo with levels 1,000× normal
  • A coast-to-coast flight (0.04 mSv) equals 4 hours of normal background radiation

Why You CANNOT Convert Between These Four Unit Types

The Most Important Thing to Understand About Radiation Units

Radiation measurements are divided into four categories that measure completely different things. Converting Gray to Sievert, or Becquerel to Gray, without additional information is like trying to convert miles per hour into temperature—physically meaningless and potentially dangerous in medical contexts.

Never attempt these conversions in professional settings without consulting radiation safety protocols and qualified health physicists.

The Four Radiation Quantities

Absorbed Dose

Energy deposited in matter

Units: Gray (Gy), rad, J/kg

The amount of radiation energy absorbed per kilogram of tissue. Purely physical—doesn't account for biological effects.

Example: Chest X-ray: 0.001 Gy (1 mGy) | CT scan: 0.01 Gy (10 mGy) | Lethal dose: 4-5 Gy

  • 1 Gy = 100 rad
  • 1 mGy = 100 mrad
  • 1 Gy = 1 J/kg

Equivalent Dose

Biological effect on tissue

Units: Sievert (Sv), rem

Biological effect of radiation, accounting for different damage from alpha, beta, gamma, neutron radiation types.

Example: Annual background: 2.4 mSv | Chest X-ray: 0.1 mSv | Occupational limit: 20 mSv/year | Lethal: 4-5 Sv

  • 1 Sv = 100 rem
  • For X-rays: 1 Gy = 1 Sv
  • For alpha: 1 Gy = 20 Sv

Radioactivity (Activity)

Decay rate of radioactive material

Units: Becquerel (Bq), Curie (Ci)

Number of radioactive atoms decaying per second. Tells you how 'radioactive' material is, NOT how much radiation you receive.

Example: Human body: 4,000 Bq | Banana: 15 Bq | PET scan tracer: 400 MBq | Smoke detector: 37 kBq

  • 1 Ci = 37 GBq
  • 1 mCi = 37 MBq
  • 1 µCi = 37 kBq

Exposure

Ionization in air (X-rays/gamma only)

Units: Roentgen (R), C/kg

Amount of ionization produced in air by X-rays or gamma rays. Older measurement, rarely used today.

Example: Chest X-ray: 0.4 mR | Dental X-ray: 0.1-0.3 mR

  • 1 R = 0.000258 C/kg
  • 1 R ≈ 0.01 Sv (rough approximation)

Conversion Formulas - How to Convert Radiation Units

Each of the four radiation categories has its own conversion formulas. You can ONLY convert within a category, never between categories.

Absorbed Dose Conversions (Gray ↔ rad)

Base unit: Gray (Gy) = 1 joule per kilogram (J/kg)

FromToFormulaExample
Gyradrad = Gy × 1000.01 Gy = 1 rad
radGyGy = rad ÷ 100100 rad = 1 Gy
GymGymGy = Gy × 1,0000.001 Gy = 1 mGy
GyJ/kgJ/kg = Gy × 1 (identical)1 Gy = 1 J/kg

Quick Tip: Remember: 1 Gy = 100 rad. Medical imaging often uses milligray (mGy) or cGy (centigray = rad).

Practical: Chest X-ray: 0.001 Gy = 1 mGy = 100 mrad = 0.1 rad

Equivalent Dose Conversions (Sievert ↔ rem)

Base unit: Sievert (Sv) = Absorbed Dose (Gy) × Radiation Weighting Factor (Q)

Radiation Weighting Factors (Q)

To convert Gray (absorbed) to Sievert (equivalent), multiply by Q:

Radiation TypeQ FactorFormula
X-rays, gamma rays1Sv = Gy × 1
Beta particles, electrons1Sv = Gy × 1
Neutrons (depends on energy)5-20Sv = Gy × 5 to 20
Alpha particles20Sv = Gy × 20
Heavy ions20Sv = Gy × 20
FromToFormulaExample
Svremrem = Sv × 1000.01 Sv = 1 rem
remSvSv = rem ÷ 100100 rem = 1 Sv
SvmSvmSv = Sv × 1,0000.001 Sv = 1 mSv
Gy (X-ray)SvSv = Gy × 1 (for Q=1)0.01 Gy X-ray = 0.01 Sv
Gy (alpha)SvSv = Gy × 20 (for Q=20)0.01 Gy alpha = 0.2 Sv!

Quick Tip: Remember: 1 Sv = 100 rem. For X-rays and gamma rays, 1 Gy = 1 Sv. For alpha particles, 1 Gy = 20 Sv!

Practical: Annual background: 2.4 mSv = 240 mrem. Occupational limit: 20 mSv/year = 2 rem/year.

Radioactivity (Activity) Conversions (Becquerel ↔ Curie)

Base unit: Becquerel (Bq) = 1 radioactive decay per second (1 dps)

FromToFormulaExample
CiBqBq = Ci × 3.7 × 10¹⁰1 Ci = 37 GBq (exactly)
BqCiCi = Bq ÷ (3.7 × 10¹⁰)37 GBq = 1 Ci
mCiMBqMBq = mCi × 3710 mCi = 370 MBq
µCikBqkBq = µCi × 371 µCi = 37 kBq
Bqdpmdpm = Bq × 60100 Bq = 6,000 dpm

Quick Tip: Remember: 1 Ci = 37 GBq (exactly). 1 mCi = 37 MBq. 1 µCi = 37 kBq. These are LINEAR conversions.

Practical: PET scan tracer: 400 MBq ≈ 10.8 mCi. Smoke detector: 37 kBq = 1 µCi.

CANNOT convert Bq to Gy without knowing: isotope type, decay energy, geometry, shielding, exposure time, and mass!

Exposure Conversions (Roentgen ↔ C/kg)

Base unit: Coulomb per kilogram (C/kg) - ionization in air

FromToFormulaExample
RC/kgC/kg = R × 2.58 × 10⁻⁴1 R = 0.000258 C/kg
C/kgRR = C/kg ÷ (2.58 × 10⁻⁴)0.000258 C/kg = 1 R
RmRmR = R × 1,0000.4 R = 400 mR
RGy (approx in air)Gy ≈ R × 0.00871 R ≈ 0.0087 Gy in air
RSv (rough estimate)Sv ≈ R × 0.011 R ≈ 0.01 Sv (very rough!)

Quick Tip: Roentgen is ONLY for X-rays and gamma rays in AIR. Rarely used today—replaced by Gy and Sv.

Practical: Chest X-ray at detector: ~0.4 mR. This tells if X-ray machine works, not patient dose!

Exposure (R) only measures ionization in air. Doesn't apply to tissue, alpha, beta, or neutrons.

Discovery of Radiation

1895Wilhelm Röntgen

X-rays

Working late, Röntgen noticed fluorescent screen glowing across the room despite his cathode ray tube being covered. First X-ray image: his wife's hand with bones and wedding ring visible. She exclaimed 'I have seen my death!' Won first Nobel Prize in Physics (1901).

Revolutionized medicine overnight. By 1896, doctors worldwide used X-rays to locate bullets and set broken bones.

1896Henri Becquerel

Radioactivity

Left uranium salts on wrapped photographic plate in drawer. Days later, plate was fogged—uranium emitted radiation spontaneously! Shared 1903 Nobel Prize with Curies. Accidentally burned himself by carrying radioactive materials in vest pocket.

Proved atoms weren't indivisible—they could spontaneously break down.

1898Marie & Pierre Curie

Polonium and Radium

Processed tons of pitchblende by hand in cold Parisian shed. Discovered polonium (named after Poland) and radium (glows blue in dark). Kept radium vial by bedside 'because it looks so pretty at night.' Marie won Nobel Prizes in Physics AND Chemistry—only person to win in two sciences.

Radium became basis for early cancer therapy. Marie died 1934 from radiation-induced aplastic anemia. Her notebooks are still too radioactive to handle—stored in lead-lined boxes.

1899Ernest Rutherford

Alpha and Beta radiation

Discovered radiation came in types with different penetrating abilities: alpha (stopped by paper), beta (penetrates further), gamma (discovered 1900 by Villard). Won 1908 Nobel Prize in Chemistry.

Laid groundwork for understanding nuclear structure and modern concept of equivalent dose (Sievert).

Radiation Dose Benchmarks

Source / ActivityTypical DoseContext / Safety
Eating one banana0.0001 mSvBanana Equivalent Dose (BED) from K-40
Sleeping next to someone (8h)0.00005 mSvBody contains K-40, C-14
Dental X-ray0.005 mSv1 day of background radiation
Airport body scanner0.0001 mSvLess than one banana
Flight NY-LA (round trip)0.04 mSvCosmic rays at altitude
Chest X-ray0.1 mSv10 days background
Living in Denver (1 year extra)0.16 mSvHigh altitude + granite
Mammogram0.4 mSv7 weeks background
CT head scan2 mSv8 months background
Annual background (global avg)2.4 mSvRadon, cosmic, terrestrial, internal
CT chest7 mSv2.3 years background
CT abdomen10 mSv3.3 years background = 100 chest X-rays
PET scan14 mSv4.7 years background
Occupational limit (annual)20 mSvRadiation workers, averaged over 5 years
Smoking 1.5 packs/day (annual)160 mSvPolonium-210 in tobacco, lung dose
Acute radiation sickness1,000 mSv (1 Sv)Nausea, fatigue, blood count drops
LD50 (50% fatal)4,000-5,000 mSvLethal dose for 50% without treatment

Real-World Radiation Doses

Natural Background Radiation (Unavoidable)

Annual: 2.4 mSv/year (global average)

Radon gas in buildings

1.3 mSv/year (54%)

Varies 10× by location

Cosmic rays from space

0.3 mSv/year (13%)

Increases with altitude

Terrestrial (rocks, soil)

0.2 mSv/year (8%)

Granite emits more

Internal (food, water)

0.3 mSv/year (13%)

Potassium-40, carbon-14

Medical Imaging Doses

ProcedureDoseEquivalent
Dental X-ray0.005 mSv1 day background
Chest X-ray0.1 mSv10 days background
Mammogram0.4 mSv7 weeks background
CT head2 mSv8 months background
CT chest7 mSv2.3 years background
CT abdomen10 mSv3.3 years background
PET scan14 mSv4.7 years background
Cardiac stress test10-15 mSv3-5 years background

Everyday Comparisons

  • Eating one banana
    0.0001 mSvThe 'Banana Equivalent Dose' (BED)!
  • Sleeping next to someone 8 hrs
    0.00005 mSvBodies contain K-40, C-14
  • Flight NY to LA (round-trip)
    0.04 mSvCosmic rays at altitude
  • Living in Denver 1 year
    +0.16 mSvHigh altitude + granite
  • Smoking 1.5 packs/day 1 year
    160 mSvPolonium-210 in tobacco!
  • Brick house vs wood (1 year)
    +0.07 mSvBrick has radium/thorium

What Radiation Does to Your Body

DoseEffectDetails
0-100 mSvNo immediate effectsLong-term cancer risk +0.5% per 100 mSv. Medical imaging carefully justified in this range.
100-500 mSvSlight blood changesDetectable decrease in blood cells. No symptoms. Cancer risk +2-5%.
500-1,000 mSvMild radiation sickness possibleNausea, fatigue. Full recovery expected. Cancer risk +5-10%.
1-2 SvRadiation sicknessNausea, vomiting, fatigue. Blood count drops. Recovery likely with treatment.
2-4 SvSevere radiation sicknessSevere symptoms, hair loss, infections. Requires intensive care. ~50% survival without treatment.
4-6 SvLD50 (lethal dose 50%)Bone marrow failure, bleeding, infections. ~10% survival without treatment, ~50% with treatment.
>6 SvUsually fatalMassive organ damage. Death within days to weeks even with treatment.

ALARA: As Low As Reasonably Achievable

Time

Minimize exposure time

Work quickly near radiation sources. Halve the time = halve the dose.

Distance

Maximize distance from source

Radiation follows inverse-square law: double distance = ¼ dose. Step back!

Shielding

Use appropriate barriers

Lead for X-rays/gamma, plastic for beta, paper for alpha. Concrete for neutrons.

Radiation Myths vs Reality

All radiation is dangerous

Verdict: FALSE

You're constantly exposed to natural background radiation (~2.4 mSv/year) with no harm. Low doses from medical imaging carry tiny risks, usually justified by diagnostic benefit.

Living near nuclear plant is dangerous

Verdict: FALSE

Average dose from living near nuclear plant: <0.01 mSv/year. You get 100× more radiation from natural background. Coal plants emit more radiation (from uranium in coal)!

Airport scanners cause cancer

Verdict: FALSE

Airport backscatter scanners: <0.0001 mSv per scan. You'd need 10,000 scans to equal one chest X-ray. The flight itself gives 40× more radiation.

One X-ray will harm my baby

Verdict: EXAGGERATED

Single diagnostic X-ray: <5 mSv, usually <1 mSv. Fetal harm risk begins above 100 mSv. Still, inform doctor if pregnant—they'll shield abdomen or use alternatives.

You can convert Gy to Sv by just changing the unit name

Verdict: DANGEROUS OVERSIMPLIFICATION

Only true for X-rays and gamma rays (Q=1). For neutrons (Q=5-20) or alpha particles (Q=20), you must multiply by Q factor. Never assume Q=1 without knowing radiation type!

Radiation from Fukushima/Chernobyl spread worldwide

Verdict: TRUE BUT NEGLIGIBLE

True that isotopes were detected globally, but doses outside exclusion zones were tiny. Most of world received <0.001 mSv. Natural background is 1000× higher.

Complete Radiation Units Catalog

Absorbed Dose

UnitSymbolCategoryNotes / Usage
grayGyAbsorbed DoseMost commonly used unit in this category
milligraymGyAbsorbed DoseMost commonly used unit in this category
micrograyµGyAbsorbed DoseMost commonly used unit in this category
nanograynGyAbsorbed Dose
kilograykGyAbsorbed Dose
rad (radiation absorbed dose)radAbsorbed DoseLegacy absorbed dose unit. 1 rad = 0.01 Gy = 10 mGy. Still used in US medicine.
milliradmradAbsorbed DoseMost commonly used unit in this category
kiloradkradAbsorbed Dose
joule per kilogramJ/kgAbsorbed Dose
erg per gramerg/gAbsorbed Dose

Equivalent Dose

UnitSymbolCategoryNotes / Usage
sievertSvEquivalent DoseMost commonly used unit in this category
millisievertmSvEquivalent DoseMost commonly used unit in this category
microsievertµSvEquivalent DoseMost commonly used unit in this category
nanosievertnSvEquivalent Dose
rem (roentgen equivalent man)remEquivalent DoseLegacy equivalent dose unit. 1 rem = 0.01 Sv = 10 mSv. Still used in US.
milliremmremEquivalent DoseMost commonly used unit in this category
microremµremEquivalent Dose

Radioactivity

UnitSymbolCategoryNotes / Usage
becquerelBqRadioactivityMost commonly used unit in this category
kilobecquerelkBqRadioactivityMost commonly used unit in this category
megabecquerelMBqRadioactivityMost commonly used unit in this category
gigabecquerelGBqRadioactivityMost commonly used unit in this category
terabecquerelTBqRadioactivity
petabecquerelPBqRadioactivity
curieCiRadioactivityMost commonly used unit in this category
millicuriemCiRadioactivityMost commonly used unit in this category
microcurieµCiRadioactivityMost commonly used unit in this category
nanocurienCiRadioactivity
picocuriepCiRadioactivityMost commonly used unit in this category
rutherfordRdRadioactivity
disintegration per seconddpsRadioactivity
disintegration per minutedpmRadioactivity

Exposure

UnitSymbolCategoryNotes / Usage
coulomb per kilogramC/kgExposureMost commonly used unit in this category
millicoulomb per kilogrammC/kgExposure
microcoulomb per kilogramµC/kgExposure
roentgenRExposureMost commonly used unit in this category
milliroentgenmRExposureMost commonly used unit in this category
microroentgenµRExposure
parkerPkExposure

Frequently Asked Questions

Can I convert Gray to Sievert?

Only if you know the radiation type. For X-rays and gamma rays: 1 Gy = 1 Sv (Q=1). For alpha particles: 1 Gy = 20 Sv (Q=20). For neutrons: 1 Gy = 5-20 Sv (energy-dependent). Never assume Q=1 without verification.

Can I convert Becquerel to Gray or Sievert?

No, not directly. Becquerel measures radioactive decay rate (activity), while Gray/Sievert measure absorbed dose. Conversion requires: isotope type, decay energy, source geometry, shielding, exposure time, and tissue mass. This is a complex physics calculation.

Why are there four different measurement types?

Because radiation effects depend on multiple factors: (1) Energy deposited in tissue (Gray), (2) Biological damage from different radiation types (Sievert), (3) How radioactive the source is (Becquerel), (4) Historical air ionization measurement (Roentgen). Each serves a different purpose.

Is 1 mSv dangerous?

No. Average annual background radiation is 2.4 mSv globally. A chest X-ray is 0.1 mSv. Occupational limits are 20 mSv/year (averaged). Acute radiation sickness begins around 1,000 mSv (1 Sv). Single mSv exposures from medical imaging carry tiny cancer risks, usually justified by diagnostic benefit.

Should I avoid CT scans because of radiation?

CT scans involve higher doses (2-20 mSv) but are life-saving for trauma, stroke, cancer diagnosis. Follow ALARA principle: ensure scan is medically justified, ask about alternatives (ultrasound, MRI), avoid duplicate scans. Benefits usually far outweigh small cancer risk.

What's the difference between rad and rem?

Rad measures absorbed dose (physical energy). Rem measures equivalent dose (biological effect). For X-rays: 1 rad = 1 rem. For alpha particles: 1 rad = 20 rem. Rem accounts for the fact that alpha particles cause 20× more biological damage per unit energy than X-rays.

Why can't I handle Marie Curie's notebooks?

Her notebooks, lab equipment, and furniture are contaminated with radium-226 (half-life 1,600 years). After 90 years, they're still highly radioactive and stored in lead-lined boxes. Requires protective gear and dosimetry to access. Will remain radioactive for thousands of years.

Is living near a nuclear power plant dangerous?

No. Average dose from living near nuclear plant: <0.01 mSv/year (measured by monitors). Natural background radiation is 100-200× higher (2.4 mSv/year). Coal plants emit more radiation due to uranium/thorium in coal ash. Modern nuclear plants have multiple containment barriers.

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