Minimum Detectable Activity (MDA) Calculator

This tool calculates the Minimum Detectable Activity (MDA), which is the smallest amount of activity that can be reliably detected by a measurement system above the background level.

Background Count (B, cps)

Counting Time (t, sec)

Efficiency ($\epsilon$)

Results

Minimum Detectable Activity (MDA): 0 Bq

Underlying Principles

The Minimum Detectable Activity (MDA) is a statistical measure that quantifies the lowest level of radioactivity that a measurement system can reliably detect. It is determined by the detector's background count, the counting time, and the overall efficiency.

$$\text{MDA} = \frac{2.71 + 4.65 \sqrt{B}}{t \cdot \epsilon}$$

Where:

$B$: Background count rate (counts per second)
$t$: Counting time (in seconds)
$\epsilon$: Detector efficiency (a value between 0 and 1)