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 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
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
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
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)
| From | To | Formula | Example |
|---|---|---|---|
| Gy | rad | rad = Gy × 100 | 0.01 Gy = 1 rad |
| rad | Gy | Gy = rad ÷ 100 | 100 rad = 1 Gy |
| Gy | mGy | mGy = Gy × 1,000 | 0.001 Gy = 1 mGy |
| Gy | J/kg | J/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)
To convert Gray (absorbed) to Sievert (equivalent), multiply by Q:
| Radiation Type | Q Factor | Formula |
|---|---|---|
| X-rays, gamma rays | 1 | Sv = Gy × 1 |
| Beta particles, electrons | 1 | Sv = Gy × 1 |
| Neutrons (depends on energy) | 5-20 | Sv = Gy × 5 to 20 |
| Alpha particles | 20 | Sv = Gy × 20 |
| Heavy ions | 20 | Sv = Gy × 20 |
| From | To | Formula | Example |
|---|---|---|---|
| Sv | rem | rem = Sv × 100 | 0.01 Sv = 1 rem |
| rem | Sv | Sv = rem ÷ 100 | 100 rem = 1 Sv |
| Sv | mSv | mSv = Sv × 1,000 | 0.001 Sv = 1 mSv |
| Gy (X-ray) | Sv | Sv = Gy × 1 (for Q=1) | 0.01 Gy X-ray = 0.01 Sv |
| Gy (alpha) | Sv | Sv = 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)
| From | To | Formula | Example |
|---|---|---|---|
| Ci | Bq | Bq = Ci × 3.7 × 10¹⁰ | 1 Ci = 37 GBq (exactly) |
| Bq | Ci | Ci = Bq ÷ (3.7 × 10¹⁰) | 37 GBq = 1 Ci |
| mCi | MBq | MBq = mCi × 37 | 10 mCi = 370 MBq |
| µCi | kBq | kBq = µCi × 37 | 1 µCi = 37 kBq |
| Bq | dpm | dpm = Bq × 60 | 100 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
| From | To | Formula | Example |
|---|---|---|---|
| R | C/kg | C/kg = R × 2.58 × 10⁻⁴ | 1 R = 0.000258 C/kg |
| C/kg | R | R = C/kg ÷ (2.58 × 10⁻⁴) | 0.000258 C/kg = 1 R |
| R | mR | mR = R × 1,000 | 0.4 R = 400 mR |
| R | Gy (approx in air) | Gy ≈ R × 0.0087 | 1 R ≈ 0.0087 Gy in air |
| R | Sv (rough estimate) | Sv ≈ R × 0.01 | 1 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
1895 — Wilhelm 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.
1896 — Henri 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.
1898 — Marie & 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.
1899 — Ernest 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 / Activity | Typical Dose | Context / Safety |
|---|---|---|
| Eating one banana | 0.0001 mSv | Banana Equivalent Dose (BED) from K-40 |
| Sleeping next to someone (8h) | 0.00005 mSv | Body contains K-40, C-14 |
| Dental X-ray | 0.005 mSv | 1 day of background radiation |
| Airport body scanner | 0.0001 mSv | Less than one banana |
| Flight NY-LA (round trip) | 0.04 mSv | Cosmic rays at altitude |
| Chest X-ray | 0.1 mSv | 10 days background |
| Living in Denver (1 year extra) | 0.16 mSv | High altitude + granite |
| Mammogram | 0.4 mSv | 7 weeks background |
| CT head scan | 2 mSv | 8 months background |
| Annual background (global avg) | 2.4 mSv | Radon, cosmic, terrestrial, internal |
| CT chest | 7 mSv | 2.3 years background |
| CT abdomen | 10 mSv | 3.3 years background = 100 chest X-rays |
| PET scan | 14 mSv | 4.7 years background |
| Occupational limit (annual) | 20 mSv | Radiation workers, averaged over 5 years |
| Smoking 1.5 packs/day (annual) | 160 mSv | Polonium-210 in tobacco, lung dose |
| Acute radiation sickness | 1,000 mSv (1 Sv) | Nausea, fatigue, blood count drops |
| LD50 (50% fatal) | 4,000-5,000 mSv | Lethal 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
| Procedure | Dose | Equivalent |
|---|---|---|
| Dental X-ray | 0.005 mSv | 1 day background |
| Chest X-ray | 0.1 mSv | 10 days background |
| Mammogram | 0.4 mSv | 7 weeks background |
| CT head | 2 mSv | 8 months background |
| CT chest | 7 mSv | 2.3 years background |
| CT abdomen | 10 mSv | 3.3 years background |
| PET scan | 14 mSv | 4.7 years background |
| Cardiac stress test | 10-15 mSv | 3-5 years background |
Everyday Comparisons
- Eating one banana0.0001 mSv — The 'Banana Equivalent Dose' (BED)!
- Sleeping next to someone 8 hrs0.00005 mSv — Bodies contain K-40, C-14
- Flight NY to LA (round-trip)0.04 mSv — Cosmic rays at altitude
- Living in Denver 1 year+0.16 mSv — High altitude + granite
- Smoking 1.5 packs/day 1 year160 mSv — Polonium-210 in tobacco!
- Brick house vs wood (1 year)+0.07 mSv — Brick has radium/thorium
What Radiation Does to Your Body
| Dose | Effect | Details |
|---|---|---|
| 0-100 mSv | No immediate effects | Long-term cancer risk +0.5% per 100 mSv. Medical imaging carefully justified in this range. |
| 100-500 mSv | Slight blood changes | Detectable decrease in blood cells. No symptoms. Cancer risk +2-5%. |
| 500-1,000 mSv | Mild radiation sickness possible | Nausea, fatigue. Full recovery expected. Cancer risk +5-10%. |
| 1-2 Sv | Radiation sickness | Nausea, vomiting, fatigue. Blood count drops. Recovery likely with treatment. |
| 2-4 Sv | Severe radiation sickness | Severe symptoms, hair loss, infections. Requires intensive care. ~50% survival without treatment. |
| 4-6 Sv | LD50 (lethal dose 50%) | Bone marrow failure, bleeding, infections. ~10% survival without treatment, ~50% with treatment. |
| >6 Sv | Usually fatal | Massive 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
| Unit | Symbol | Category | Notes / Usage |
|---|---|---|---|
| gray | Gy | Absorbed Dose | Most commonly used unit in this category |
| milligray | mGy | Absorbed Dose | Most commonly used unit in this category |
| microgray | µGy | Absorbed Dose | Most commonly used unit in this category |
| nanogray | nGy | Absorbed Dose | |
| kilogray | kGy | Absorbed Dose | |
| rad (radiation absorbed dose) | rad | Absorbed Dose | Legacy absorbed dose unit. 1 rad = 0.01 Gy = 10 mGy. Still used in US medicine. |
| millirad | mrad | Absorbed Dose | Most commonly used unit in this category |
| kilorad | krad | Absorbed Dose | |
| joule per kilogram | J/kg | Absorbed Dose | |
| erg per gram | erg/g | Absorbed Dose |
Equivalent Dose
| Unit | Symbol | Category | Notes / Usage |
|---|---|---|---|
| sievert | Sv | Equivalent Dose | Most commonly used unit in this category |
| millisievert | mSv | Equivalent Dose | Most commonly used unit in this category |
| microsievert | µSv | Equivalent Dose | Most commonly used unit in this category |
| nanosievert | nSv | Equivalent Dose | |
| rem (roentgen equivalent man) | rem | Equivalent Dose | Legacy equivalent dose unit. 1 rem = 0.01 Sv = 10 mSv. Still used in US. |
| millirem | mrem | Equivalent Dose | Most commonly used unit in this category |
| microrem | µrem | Equivalent Dose |
Radioactivity
| Unit | Symbol | Category | Notes / Usage |
|---|---|---|---|
| becquerel | Bq | Radioactivity | Most commonly used unit in this category |
| kilobecquerel | kBq | Radioactivity | Most commonly used unit in this category |
| megabecquerel | MBq | Radioactivity | Most commonly used unit in this category |
| gigabecquerel | GBq | Radioactivity | Most commonly used unit in this category |
| terabecquerel | TBq | Radioactivity | |
| petabecquerel | PBq | Radioactivity | |
| curie | Ci | Radioactivity | Most commonly used unit in this category |
| millicurie | mCi | Radioactivity | Most commonly used unit in this category |
| microcurie | µCi | Radioactivity | Most commonly used unit in this category |
| nanocurie | nCi | Radioactivity | |
| picocurie | pCi | Radioactivity | Most commonly used unit in this category |
| rutherford | Rd | Radioactivity | |
| disintegration per second | dps | Radioactivity | |
| disintegration per minute | dpm | Radioactivity |
Exposure
| Unit | Symbol | Category | Notes / Usage |
|---|---|---|---|
| coulomb per kilogram | C/kg | Exposure | Most commonly used unit in this category |
| millicoulomb per kilogram | mC/kg | Exposure | |
| microcoulomb per kilogram | µC/kg | Exposure | |
| roentgen | R | Exposure | Most commonly used unit in this category |
| milliroentgen | mR | Exposure | Most commonly used unit in this category |
| microroentgen | µR | Exposure | |
| parker | Pk | Exposure |
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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