Gas Chromatography – Fundamentals & Troubleshooting

This engineering deep dive covers chromatographic theory, system suitability, performance calculations, detector diagnostics and structured troubleshooting logic.

1. Retention & Capacity Factor

Capacity factor (k'):

k' = (tR − t0) / t0

Where:
tR = retention time
t0 = dead time

Ideal k' range: 1 – 10

2. Theoretical Plates (Column Efficiency)

N = 16 (tR / W)^2

Where:
W = peak width at baseline

Higher N = better column efficiency.

Worked Example – Theoretical Plates

tR = 5.0 min W = 0.2 min

N = 16 (5 / 0.2)^2 N = 16 (25)^2 N = 16 × 625 N = 10,000 plates

3. Resolution Between Two Peaks

Rs = 2 (tR2 − tR1) / (W1 + W2)

Acceptable separation: Rs ≥ 1.5

Worked Example – Resolution

tR1 = 4.0 min tR2 = 4.5 min W1 = 0.2 W2 = 0.2

Rs = 2(0.5) / (0.4) Rs = 2.5 → acceptable

Detector Diagnostics

FID

TCD

System Suitability Parameters

%RSD = (SD / Mean) × 100

GC Troubleshooting Logic Flow

No Peaks? Check Injector Check Detector

ISO 17025 Technical Controls

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Laboratory Analyzers – Engineering Fundamentals