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Calibration · No. 37Standard Addition in GC, and Mass versus Volume

GC quantitation — in the matrix

Standard addition in GC, and mass versus volume results

Calibrate inside the sample when the matrix changes the response, keep the units of the x-axis honest, and convert mass percent to volume percent with two densities at one temperature.

By Medrado Analytical Innovations · Foundations, No. 37 · for the working analyst

In this piece · 6 min read
  1. Calibrating inside the sample
  2. The arithmetic, with the units kept honest
  3. Choosing and weighing the additions
  4. Mass percent is not volume percent
  5. Where it goes wrong
  6. The judgement

Sometimes the sample itself changes how much signal the analyte gives. In headspace GC this is the rule rather than the exception: how much of a volatile compound leaves the liquid and reaches the gas above it depends on everything else dissolved in that liquid. A standard made in clean solvent then sees a different world from the sample, and an external standard result is biased however carefully it is made. Standard addition solves that by calibrating inside the sample. This lesson works through its arithmetic in GC, and then a second piece of arithmetic every GC lab needs: turning a mass result into a volume result.

Calibrating inside the sample

Matrix here means everything else in the sample, which can change how much signal the same amount of analyte gives. Split the sample into equal portions. Spike all but one with known, increasing amounts of the analyte, and bring every portion, the unspiked one included, to the same volume with the same solvent. Prepare and run the set. Because the added analyte and the analyte already there sit in the same matrix, the matrix affects both the same way, and the slope of area against amount added is the response in that matrix.

area = m × (amount added) + b b = the area from the analyte already in the sample amount in the sample = b ÷ m (the x-intercept is −b ÷ m; report b ÷ m, never the signed intercept)

Snow, in LCGC, describes it the same way: the amount in the sample is found by extrapolating the line to the x-axis.1

Check yourself

Answer in your head first, then open the answer. Any question can go into your Quiz me.

  1. Why does standard addition correct for the matrix?

    Show the answer
    “Because the added analyte and the analyte already there sit in the same matrix, the matrix affects both the same way, and the slope of area against amount added is the response in that matrix.”

    See it in the article ·

  2. A standard addition fit gives a slope of 0.200 area per µg/g and an intercept of 852, with the x-axis in µg per gram of product. How much is in the product?

    Show the answer
    “ethanol in the product = 852 ÷ 0.200 = 4,260 µg/g”

    See it in the article ·

  3. Each 1,000 µL portion holds 0.100 g of product. An addition 'equivalent to 1,250 µg/g' puts how much ethanol in the vial?

    Show the answer
    “each 1,000 µL portion holds 0.100 g of product, so an addition equivalent to 1,250 µg/g is 125 µg of ethanol in the vial.”

    See it in the article ·

Glossary

Standard addition
Calibration made by adding known amounts of the analyte to portions of the sample itself.
Matrix
Everything in the sample besides the analyte, which can change the response.
Area percent
Each peak as a share of the total area, with no response correction.
Volume percent
Mass percent multiplied by the density of the sample over the density of the component.

Sources

  1. N. H. Snow, "From Detector to Decision, Part III: Fundamentals of Calibration in Gas Chromatography", LCGC International (January 2024).
  2. "GC standard addition questions", Chromatography Forum, 13–14 December 2011 (chromforum.org/viewtopic.php?t=18508).
  3. ASTM D4815-22, Determination of MTBE, ETBE, TAME, DIPE, tertiary-Amyl Alcohol and C1 to C4 Alcohols in Gasoline by Gas Chromatography (the method provides equations to convert to mass percent oxygen and to volume percent of individual compounds; store.astm.org summary).
  4. Virginia Administrative Code 2VAC5-480-70 (oxygenate relative densities at 60/60 °F, used with ASTM D4815).