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2026-11-0490

Calibrating a GC for Photocatalytic Gas Analysis: Curves, Detection Limits, Repeatability

Quick answer

Calibrate with a 5-point curve spanning 0.1–1.0× your highest expected peak, accept R² ≥ 0.999 and a response-factor RSD ≤ 2 %, then inject a mid-point check standard every 10 samples with a ±3 % tolerance. A 1 mL loop at 100 ppm holds 4.1 nmol, so build the curve in moles, not in millimetres of peak height.

Calibrate in moles, not in area per ppm

Peak area is proportional to the moles passing the detector, and that number depends on loop volume, pressure and temperature. Fix the arithmetic once: at 101.3 kPa and 298 K, one millilitre of ideal gas is 40.9 µmol, so a 1 mL loop filled with 100 ppm H2 delivers 4.09 nmol and a 1 % standard delivers 409 nmol. Convert every level to nanomoles before fitting, and the response factor transfers between loop sizes and instruments.

The conversion also exposes the largest routine error in this analysis: reactor pressure. A headspace sampled at 120 kPa holds 19 % more moles per millilitre than the same volume at 101 kPa, and a calibration run at atmospheric pressure silently under-reports the rate by that amount. Either sample through a back-pressure regulator at the calibration pressure, or correct each injection with n = PV/RT using the pressure logged at the sampling valve.

What each detector can resolve

A curve is only meaningful inside the detector's linear range, and photocatalytic work sits at the difficult end: hydrogen and CO from a fresh catalyst are often at tens of ppm, near the noise floor of a thermal conductivity detector.

DetectorCarrierSpeciesLOD (1 mL loop)Linear range
TCDArH2, He, O2, N2, CO210–50 ppm104
TCDHeCO2, N2, O250–200 ppm104
FIDN2CH4, light hydrocarbons0.1–1 ppm106–107
FID + methanizerN2CO and CO2 as CH40.5–2 ppm105
PDHIDHeH2, O2, CO20–100 ppb105
Quadrupole MSanyall, with overlap1–10 ppm104–105

Use the table backwards to size the experiment. A 1 µmol/h hydrogen rate into a sealed 300 mL headspace adds 3.33 µmol/L per hour, which is 81 ppm/h at 25 °C. A TCD at 20 ppm LOD resolves that in about 15 min; an FID is irrelevant because it cannot see H2 at all. At 0.05 µmol/h the hourly increment is 4 ppm, and a TCD curve will never be trustworthy — switch to PDHID or irradiate longer.

Building the curve so it survives review

  1. Five levels, geometrically spaced — 0.1, 0.2, 0.5, 0.8 and 1.0 of the highest expected concentration, plus a carrier-only zero. Geometric spacing weights the low end, where the error actually matters; even spacing hides curvature near the detection limit.
  2. Three injections per level, randomised order. Randomisation separates drift from non-linearity; ascending order turns warm-up drift into apparent curvature.
  3. Fit area against moles, then inspect residuals. R² is not enough. Forced through zero, a healthy TCD curve gives residuals under 2 % across the range. Systematic curvature means the detector has left its linear range — for H2 in N2 that happens above about 2 %, where the thermal conductivity of the mixture stops being linear in composition.
  4. Record retention times with the areas. A shift beyond 1 % during a sequence means the column is still equilibrating or the flow has moved, and both invalidate the areas.

Acceptance criteria and re-check cadence

CheckAcceptanceFrequencyIf it fails
Curve linearity, 5 levelsR² ≥ 0.999, residuals ≤ 2 %After column, septum or filament change; monthlyRe-fit without the top level, or dilute
Response-factor RSD≤ 2 % across levelsWith every full curveCheck loop fill time and pressure
Mid-point check standardWithin ±3 % of curveEvery 10 injections, start and end of dayRe-run the curve before reporting
Retention time drift≤ 1 % per sequenceContinuousLeak check, then re-equilibrate
Blank, carrier onlyBelow LOD, no ghost peaksDailyBake out loop and column, new septum
Peak asymmetry0.9–1.2 at 10 % heightWeeklyRepack or trim the inlet liner

Three habits prevent most bad curves. Flush the loop with at least five loop volumes before injection — 5 mL at 20 mL/min is 15 s, and cutting it short gives low areas that look like detector drift. Keep the same carrier for calibration and analysis: a curve built on Ar does not transfer to He, because TCD response depends on the conductivity difference between carrier and sample. And remove water before the column, not after — a Nafion dryer is fine for H2, O2, CH4 and CO, but it adsorbs part of the CO2 you are quantifying, so validate the loss with a wet and dry standard pair.

Frequently asked questions

How often should a GC be calibrated for photocatalytic gas analysis?

A full 5-point curve monthly and after any hardware change; a mid-point check standard every 10 injections, or at the start and end of each day. If the check drifts past 3 %, re-run the curve rather than applying a correction factor.

Can I use peak height instead of peak area?

Only for one species at fixed flow, column temperature and injection volume, and never where peaks broaden. Height responds to flow and temperature in ways area does not, so a height-based curve can report 5–10 % change when the room warms up.

Why does the response drop after changing a septum?

Usually a small inlet leak, which lowers loop pressure and the moles injected, or a changed split ratio if the septum nut was over-tightened. Re-run the mid-point standard first; if it recovers after 10 min of equilibration, the cause was thermal, not chemical.

Do I need a separate curve for each product gas?

Yes for a TCD, where response factors differ by more than an order of magnitude between H2, O2, N2 and CO2. For FID with a methanizer, one methane curve covers CO and CO2 after reduction, but the methanizer conversion must be verified with a CO2 standard instead of assumed to be 100 %.

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