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## Signal-to-Noise Ratio in Analytical Chemistry

The signal-to-noise ratio quantifies the quality of an analytical measurement. Higher S/N means the signal is more reliably distinguishable from background noise.

### Formula

**S/N = Signal Height / Noise Level**

Noise is typically measured as peak-to-peak variation in a blank region. S/N of 3 is the detection limit criterion; S/N of 10 is the quantitation limit criterion.

Exemple Résolu

A chromatographic peak has a height of 100 units and baseline noise of 5 units peak-to-peak.

  1. S/N = 100 / 5 = 20
  2. S/N (dB) = 20 × log10(20) = 20 × 1.301 = 26.0 dB
  3. Well above quantitation limit (S/N = 10)