Rad to Becquerels Converter

Given an absorbed dose in rad, radiation type, tissue mass, and exposure time, estimate the source activity in becquerels that would produce that dose.

Input Parameters

1 rad = 0.01 gray (Gy) = 0.01 J/kg absorbed.

Sets mean energy per decay. Values are representative; use isotope-specific data for precision work.

Typical whole-body mass: 70 kg = 70,000 g.

Source Activity

Activity (Bq)

Activity (scaled)

Activity (curie)

Energy per decay used

Reference Activities

Check source (lab) ~3.7 kBq
Smoke detector (Am-241) ~37 kBq
PET scan (F-18) ~400 MBq
Radiotherapy source 10–400 TBq

How the calculation works

Dose (Gy) = Activity (Bq) × Energy/decay (J) × Time (s) ÷ Mass (kg). Rearranged: Activity (Bq) = Dose (Gy) × Mass (kg) ÷ (Energy/decay (J) × Time (s)). The input dose in rad is first converted to gray (1 rad = 0.01 Gy).

Assumes all emitted energy is absorbed uniformly within the stated mass (no geometry, shielding, or scatter corrections). For precision dosimetry, use Monte Carlo transport codes or isotope-specific dose-conversion factors.

Summary

Given an absorbed dose in rad, radiation type, tissue mass, and exposure time, estimate the source activity in becquerels that would produce that dose.

How it works

  1. Enter the absorbed dose in rad you want to convert.
  2. Select the radiation type (gamma, beta, alpha, neutron) to apply the correct mean energy per decay.
  3. Enter the mass of tissue that absorbed the radiation in grams or kilograms.
  4. Set the exposure duration over which the dose was received.
  5. The tool solves the dose equation in reverse: Activity (Bq) = Dose (Gy) × Mass (kg) / (Energy per decay (J) × Time (s)).
  6. Results appear in becquerels (Bq) with SI prefix scaling for readability.

Use cases

  • Back-calculate source strength from a measured absorbed dose in health physics training.
  • Cross-check manual dosimetry calculations in nuclear engineering coursework.
  • Understand the quantitative link between source activity and tissue dose.
  • Compare required source activities for different radiation types at the same dose target.
  • Convert reference dose figures into activity units for radiation safety planning.
  • Verify nuclear medicine activity prescriptions against intended tissue dose.

Frequently Asked Questions

Last updated: 2026-07-22 · Reviewed by Nham Vu