A(Bq) = A(Ci) * 3.7 * 10^10
Curie to Becquerel Conversion
Variables
| Symbol | Quantity | Unit |
|---|
| A(Bq) | Activity in Becquerels | Bq |
| A(Ci) | Activity in Curies | Ci |
What it means
The becquerel (Bq) is the SI unit for activity (1 decay per second), while the curie (Ci) is a historical unit defined as the activity of 1 gram of radium‑226, which is 3.7×10¹⁰ Bq. This conversion factor is used in radiation protection, nuclear medicine, and regulatory compliance. Many older documents and regulations still use curies, so accurate conversion is important for safe handling and disposal. For example, a 1 mCi source = 37 MBq. Understanding this conversion helps professionals communicate activity values and adhere to legal limits. It also aids in comparing the activity of different isotopes and sources. Knowing the conversion is essential for radiation workers, regulators, and students of nuclear science.
| Curie (Ci) |
Equivalent Becquerels (Bq) |
Scientific Notation |
| 0.000000001 Ci (1 nCi) | 37 Bq | 3.7 × 101 Bq |
| 0.000001 Ci (1 µCi) | 37,000 Bq | 3.7 × 104 Bq |
| 0.00001 Ci (10 µCi) | 370,000 Bq | 3.7 × 105 Bq |
| 0.0001 Ci (100 µCi) | 3,700,000 Bq | 3.7 × 106 Bq |
| 0.001 Ci (1 mCi) | 37,000,000 Bq | 3.7 × 107 Bq |
| 0.005 Ci (5 mCi) | 185,000,000 Bq | 1.85 × 108 Bq |
| 0.01 Ci (10 mCi) | 370,000,000 Bq | 3.7 × 108 Bq |
| 0.05 Ci (50 mCi) | 1,850,000,000 Bq | 1.85 × 109 Bq |
| 0.1 Ci | 3,700,000,000 Bq | 3.7 × 109 Bq |
| 0.25 Ci | 9,250,000,000 Bq | 9.25 × 109 Bq |
| 0.5 Ci | 18,500,000,000 Bq | 1.85 × 1010 Bq |
| 1 Ci | 37,000,000,000 Bq | 3.7 × 1010 Bq |
| 2 Ci | 74,000,000,000 Bq | 7.4 × 1010 Bq |
| 5 Ci | 185,000,000,000 Bq | 1.85 × 1011 Bq |
| 10 Ci | 370,000,000,000 Bq | 3.7 × 1011 Bq |
| 25 Ci | 925,000,000,000 Bq | 9.25 × 1011 Bq |
| 50 Ci | 1,850,000,000,000 Bq | 1.85 × 1012 Bq |
| 100 Ci | 3,700,000,000,000 Bq | 3.7 × 1012 Bq |
| 500 Ci | 18,500,000,000,000 Bq | 1.85 × 1013 Bq |
| 1,000 Ci | 37,000,000,000,000 Bq | 3.7 × 1013 Bq |
Worked example
Scenario: A radiation source has an activity of 0.001 Ci (1 mCi). The health physicist converts this to becquerels to comply with SI unit regulations for reporting radiation source strength in a nuclear medicine facility.
| Parameter | Value |
| Activity (Ci) | 0.001 |
1A(Bq) = 0.001 × 3.7×10¹⁰ = 3.7×10⁷ Bq
Result
3.7×10⁷ Bq
✓ 37 MBq
Scenario: A radioactive source is rated at 10 Ci for industrial radiography. The radiation safety officer converts the activity to becquerels to prepare the transport documentation required by international regulations.
| Parameter | Value |
| Activity (Ci) | 10 |
1A(Bq) = 10 × 3.7×10¹⁰ = 3.7×10¹¹ Bq
Result
3.7×10¹¹ Bq
✓ 370 GBq
Common mistakes
- Conversion factor: 1 Ci = 3.7 × 10¹⁰ Bq exactly (definition).
- Curie to Becquerel: Multiply Ci by 3.7×10¹⁰ to get Bq.
- Becquerel to Curie: Divide Bq by 3.7×10¹⁰.
- Historical: The curie is based on the activity of 1 gram of radium‑226.
- SI unit: The becquerel is the SI unit – the curie is still used in some contexts.
Applications
The conversion between curies and becquerels, A(Bq) = A(Ci) × 3.7×10¹⁰, is a common unit conversion in nuclear science. The curie (Ci) is the traditional unit of activity, based on the activity of one gram of radium‑226, while the becquerel (Bq) is the SI unit. This conversion is used in international communication, regulatory compliance, and historical data interpretation. Radiation safety professionals, nuclear engineers, and medical physicists must be comfortable with both units to interpret regulations, compare data, and design equipment. By using the correct conversion factor, they ensure accurate reporting and adherence to safety standards across different jurisdictions and applications.
- Conversion of activity values between SI and traditional units
- Compliance with regulatory limits and reporting requirements
- Historical data interpretation and legacy records
- International collaboration in nuclear research and safety
- Education and training in radiation measurement