MDC / MDA

Minimum detectable activity calculator

Model-based estimate. Use the stated geometry, composition and measurement assumptions; see the tool scope for limitations.

Input

Instrument statistics and calibration factors

Counter/scaler starting point for a liquid sample counted by volume.

Calculation mode

When entered, the calculator compares net counts against Lc and Ld.

Instrument / certificate snapshot

Saved with the calculation; it does not change the formula unless the numeric inputs above are changed.

Result

Counter / scaler MDC

0.777833 Bq/L
MDA
0.777833 Bq
Lc
56.9845 counts
Ld
116.675 counts
Background
600 counts
Count time
600 s

Formula

Lc = k·√(2B)Ld = k² + 2k·√(2B) (Currie, paired blankk = 1.645 → 2.71 + 4.65·√B)MDA = Ld / (eff·yield·t). No chemical-yield/aliquot correction — for prepared samples the MDA is underestimated.
Statistical detection-limit modelCurrie-style decision threshold and detection limit arithmetic.No radionuclide database is used; efficiency/yield/background are user or instrument inputs.Screening estimate — result depends on the chosen procedure, count/sample time, geometry, efficiency, yield and instrument calibration; it does not replace a validated laboratory method.
  • MDA/MDC is a statistical screening calculation; verify against the lab procedure, detector calibration and applicable regulatory method.
  • Efficiency, yield/abundance, background and sample geometry must come from instrument-specific calibration or procedure data.
  • Counter/scaler mode assumes a single background estimate and constant counting efficiency for the sample geometry.

Minimum Detectable Activity (MDA) Calculator

Currie method and L_d formula

The calculator computes the minimum detectable activity (MDA) and critical level by the Currie method for counters, scalers and scanning instruments. The detection limit L_d = 2.71 + 4.65·√B, where B is the number of background counts.

Instrument-based inputs

Inputs are the background count rate, count time, counting efficiency, emission yield and sample geometry. No radionuclide database is used: efficiency, yield and background are set from the instrument or calibration.

Detection decision mode

It supports a detection decision mode (comparing net counts against the critical level and detection limit) and storing instrument and certificate data.