Decay Correction Calculator

Formula

The formula to calculate the corrected activity of a radioactive substance is:

\[ A = A_0 \times \left(\frac{1}{2}\right)^{\frac{t}{T}} \]

Where:

\(A\) is the corrected activity (MBq)
\(A_0\) is the initial activity (MBq)
\(t\) is the elapsed time (hours)
\(T\) is the half-life of the isotope (hours)

What is Decay Correction?

Decay correction is a process used to calculate the remaining activity of a radioactive substance after a certain period of time has passed. It accounts for the exponential decrease in activity due to the decay of radioactive isotopes. This calculation is crucial in various fields such as nuclear medicine, radiopharmacy, and environmental monitoring to ensure accurate dosage, safety, and compliance with regulations.

Example Calculation 1

Let's assume the following values:

Initial Activity (A₀) = 100 MBq
Elapsed Time (t) = 24 hours
Half-Life of Isotope (T) = 6 hours

Using the formula:

\[ A = 100 \times \left(\frac{1}{2}\right)^{\frac{24}{6}} = 100 \times \left(\frac{1}{2}\right)^{4} = 100 \times 0.0625 = 6.25 \text{ MBq} \]

The Corrected Activity is 6.25 MBq.

Example Calculation 2

Let's assume the following values:

Initial Activity (A₀) = 200 MBq
Elapsed Time (t) = 10 hours
Half-Life of Isotope (T) = 3 hours

Using the formula:

\[ A = 200 \times \left(\frac{1}{2}\right)^{\frac{10}{3}} \approx 200 \times 0.0884 = 17.68 \text{ MBq} \]

The Corrected Activity is approximately 17.68 MBq.