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Calibration · No. 36External and Internal Standards in GC

GC quantitation — by the numbers

GC quantitation: external and internal standards, by the numbers

Every reported number is an area turned into an amount. Work the arithmetic of external and internal standards, by volume and by mass, and check any result your software gives you.

By Medrado Analytical Innovations · Foundations, No. 36 · for the working analyst

In this piece · 7 min read
  1. An area is not an amount
  2. External standard: trusting the injection
  3. Internal standard: dividing the injection out
  4. By mass: a result that ignores every volume
  5. By volume: what the answer actually means
  6. Where internal standard results go wrong
  7. The judgement

A chromatogram gives you peak areas. Nobody reports an area. Every number a GC lab reports is an area turned into an amount, and the tool that does the turning is a response factor. How you measure that factor, and what you divide by, decides whether your result depends on things you cannot control, such as exactly how much liquid the syringe delivered. This lesson works through the arithmetic of external and internal standard quantitation, on a volume basis and on a mass basis, so you can check any result your software gives you.

An area is not an amount

A detector's signal grows with the amount of analyte reaching it. Within the linear range the relationship is a straight line; whether it also passes through zero is something you check, not assume. When it does, one number turns areas into amounts. EPA calls it the calibration factor:1

calibration factor CF = area ÷ concentration in the standard concentration = area ÷ CF

Notice what the detector actually sees: the mass that reached it, which is the concentration times the volume injected. Concentration stands in for mass only while every injection delivers the same volume.

Different compounds give different responses for the same amount. A flame ionization detector responds roughly to the carbon mass in a molecule, so equal masses of hydrocarbons give similar areas and oxygenated compounds usually give less; a mass spectrometer's response is specific to each compound and each ion. So every compound needs its own response factor, measured on your instrument.

One warning before any arithmetic: some software stores these factors as area over amount, some as amount over area. EPA defines them as response over amount.1 Read your software's definition, write it in your procedure, and check one result by hand.

Check yourself

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

  1. An external standard result treats concentration as a stand-in for mass at the detector. When does that hold?

    Show the answer
    “Concentration stands in for mass only while every injection delivers the same volume.”

    See it in the article ·

  2. With an external standard, a 3% error in the injected volume gives…

    Show the answer
    “Every percent of injection or split error becomes a percent of error in an external standard result.”

    See it in the article ·

  3. Why does the internal standard ratio not care how much the syringe delivered?

    Show the answer
    “Both peaks come from the same injection, so V is the same in both.”

    See it in the article ·

Glossary

Calibration factor
Area divided by the concentration of the standard; turns an area into an amount in external standard work.
Internal standard
A compound added in the same known amount to every standard and sample, so results use area ratios.
Response factor (internal standard)
One compound's response relative to the internal standard's, per unit amount.
Mass fraction
Mass of analyte divided by the mass of sample weighed.

Sources

  1. U.S. EPA, SW-846 Method 8000D, Determinative Chromatographic Separations, Revision 5 (March 2018): internal standard response factor RF = (A_s × C_is)/(A_is × C_s); compensation for variation in the volume of sample introduced; average RF when RSD ≤ 20%.
  2. N. H. Snow, "From Detector to Decision, Part III: Fundamentals of Calibration in Gas Chromatography", LCGC International (January 2024).
  3. "Internal Standard Conc. Calculation", Chromatography Forum, 5–25 March 2026 (chromforum.org/viewtopic.php?t=129334).
  4. J. W. Dolan, "Internal Standard Calibration Problems", LCGC (June 2015).