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☢️ Overview: Convert Radiation Units Across Medical & Nuclear Applications
Radiation measurements are split across four main categories:
- Source Activity: Measures how many radioactive decays happen per second.
- Becquerel (Bq): 1 decay per second (SI unit)
- Curie (Ci): Legacy unit; 1 Ci = 3.7×1010 Bq
- Exposure: Measures ionization in air (now largely historical).
- Roentgen (R): 1 R = 2.58×10⁻⁴ C/kg
- Absorbed Dose: Measures energy absorbed per unit mass.
- Gray (Gy): SI unit = 1 joule/kg
- Rad: Older unit; 1 rad = 0.01 Gy
- Equivalent Dose: Adjusts absorbed dose by biological effect.
- Sievert (Sv): SI unit for health effect of radiation
- Rem: 1 rem = 0.01 Sv
This converter allows precise switching between all these units—whether you're analyzing radiology reports, calibrating equipment, or checking regulatory limits.
🧮 Formula & Methodology: How Radiation Units Are Converted
Radiation units are grouped by physical property. Within each category, conversions follow a simple 2-step method:
Step 1: Normalize to SI base unit SI_value = input × factor_from Step 2: Convert to target unit result = SI_value ÷ factor_to
For example:
- 1 Ci → Bq:
1 × 3.7×1010 = 3.7×10¹⁰ Bq
- 100 rad → Gy:
100 × 0.01 = 1 Gy
- 5 Sv → rem:
5 ÷ 0.01 = 500 rem
⚠️ Note: You cannot convert between categories (e.g., Gy ↔ Bq) without biological or physical context.
📊 Example Conversions
- 1 Ci → Bq: 1 × 3.7×1010 = 3.7×10¹⁰ Bq
- 100 rad → Gy: 100 × 0.01 = 1 Gy
- 5 Sv → rem: 5 ÷ 0.01 = 500 rem
- 0.2 R → C/kg: 0.2 × 2.58×10⁻⁴ = 5.16×10⁻⁵ C/kg
🔬 Common Use Cases for Radiation Unit Conversion
- 🩻 Medical Imaging: CT scans and X-rays typically report doses in mGy and mSv
- ⚛️ Nuclear Medicine & Therapy: Radioisotope activity in Bq or Ci
- 🏗️ Radiation Protection: Regulatory bodies set occupational limits in mSv or rem
- 🧪 Physics Labs: Experimental setups require accurate conversions between R, C/kg, and Gy
❓ Frequently Asked Questions
What is the difference between gray and sievert?
Gray (Gy) measures the amount of energy absorbed by tissue. Sievert (Sv) includes biological impact via a weighting factor. For X-rays, 1 Gy ≈ 1 Sv, but not for all types of radiation.
Why use becquerel instead of curie?
Becquerel (Bq) is the modern SI unit. 1 curie = 3.7×10¹⁰ Bq. Bq is preferred in scientific literature and international regulations.
Can I convert roentgen to sievert?
Only approximately, and context matters. Roentgen measures ionization in air, while sievert measures biological effect. A conversion requires assumptions about radiation type and medium.
Is rad still used?
Rad is largely obsolete but still appears in older medical and nuclear documentation. 1 rad = 0.01 Gy.
What does 1 mSv mean?
1 millisievert is a thousandth of a sievert and is commonly used in radiology to quantify low radiation doses like from chest X-rays or CT scans.
Are these conversions linear?
Yes, within each category. Conversions like rad → Gy or Sv → rem use constant multipliers. Between categories, conversions are not possible without additional physical context.
What’s the typical radiation dose for a CT scan?
Most CT scans deliver around 2–10 mSv depending on the body part and scan protocol.