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Quantification in LCMS - RFs for mass vs concentration

Discussions about GC-MS, LC-MS, LC-FTIR, and other "coupled" analytical techniques.

5 posts Page 1 of 1
Dear Colleagues,
Here's an interesting dilemma I'm sure we've all thought about before. Whenever someone does quantification by LCMS, they build a calibration curve of a standard and quantify identified unknowns in samples against this standard, using the linear portion of the curve. Calibration may be via an external or internal standard method, where a response factor is calculated in the form of a slope or ratio plot, respectively. For all practical purposes, it doesn't matter how the analyte concentration is calculated - e.g. nmol/mL, ppm, ng/mL, etc - as any unknown peak in a sample for which there is a corresponding standard can be quantified against that standard.

However, problems start to arise when semiquantification is performed. By semiquantification I mean you have, for example, 4 standards, one of which is perhaps an internal standard, but you are quantifying 10 compounds in the sample. Thus 3 compounds in the sample are correctly quantified against their respective calibration curves, but the remaining 7 are semiquantified. The most common approach for these 7 compounds would be to use either one the response factors (internal standard/standard) for the standard closest in retention time to the unknown peak to calculate the unknown's concentration, or perhaps an average of all the response factors for all the standards, assuming they are structurally similar.

This approach works well when calibration is by total mass (i.e. ng/mL, ng/sample, etc) using a mass selective detector, for example the FID in GC, where the detector repsonds more or less linearly to the total amount of carbon that passes through the detector. Thus, with GC-FID, 1 pg of a 20-carbon alkane will give a very similar detector response to 1 pg of a 10-carbon alkane. Therefore, for GC-FID methods, calibration curves are calculated on a mass basis - e.g. ng/mL, and unknowns can be semiquantified fairly reliably as response factors are very close to 1. The nature of the FID detector also means that calibration curves should never be made on a concentration basis i.e. nmol/mL. If this were done, in the example above, then 1 pg of a 10-carbon alkane would have double the molar concentration of 1 pg of a 20-carbon alkane. Thus, if only a 20-carbon alkane was available as a standard, then semiquantitative calculation of an unknown peak that happened to be a 10-carbon alkane would give an accurate result if the C20 ng/mL response factor was used, but a 50% underestimate of C10 would result if the C20 nmol/mL response factor was used. Thus, everyone uses ng/mL or similar calibrations for GC-FID analyses.

Now, if this same thinking is applied to LCMS semiquantification, then nmol/mL calibrations should be used. This is because the MS is a concentration selective dector; i.e. every molecule will form, for example an [M+H]+ ion that is then detected. Thus, 1 mol of a C20 alkane will form the same number of molecular ions as 1 mol of a C10 alkane (I'm ignoring the difficulties in ionizing alkanes by soft ionization techniques here, please bear with me...), whereas 1 ng of C10 will form approximately double the number of molecular ions compared to 1 ng of C20. Thus, it follows that any LCMS (or indeed any concentration selective detectors, which would include UV and fluorescent detectors too), should have concentration curves built on a molar concentration basis. Then any semiquantitative calculations fro unknowns will be closer to their real values.

My question is: why does this never seem to be done in practice? It's ususal to see calibrations for many forms of hyphenated MS in ng/mL or similar mass-specific units. This will then lead to substantial errors if semiquantification is done. I know semiquantification is not ideal, but if you are in the business of doing, for example metabolomics, you may have hundreds of unknowns and a handful of standards. It would then seem very dangerous to semiquantify a wide range of these unknowns by LC (or GC) MS using ng/mL calibration curves. I know there are a whole lot of other issues to consider, such as ionization efficiencies for different compounds, etc, but it seems to me to be important to at least consider the initial assumptions of how best to use response factors based on how the detection system works.

thanks
Tony

Ionization efficiency is very idiosyncratic for the electrospray interface. It depends on the buffer composition, pH, organic content, co-eluting interferences, and intrinsic properties of the molecule. All of these may be changing during the run. This is why isotopically labelled internal standards are so popular with LCMS. You can perhaps get away with semiquantification for homologous series, or isomers, but not for your example of C10 vs C20 where the elution conditions are too far apart, or where there are different functional groups.
Mark Tracy
Senior Chemist
Dionex Corp.

The C10:C20 comparison was just a theoretical example. The reality is that many people do carry out semiquantitative measurements in fields such as metabolomics, because insufficient numbers of standards are available. Some people even do direct infusion without chromatography, and semiquantify on ion intensities in a matrix background - a dangerous task but done in the interests of increasing throughput.

I was simply making the point that, taking all other sources of variation as read (ionization efficiences, etc), it is nonsensical to use mass/mL calculated response factors in any MS semiquantitative analysis. Doing so will only add further errors to quantitative calculations. So mol/mL values should always be used for any MS analysis where RFs have to be assumed for unknowns that lack standards.

cheers
Tony

Hi Tony

You are right that expressing "semiquantitative" results in mass terms will only make a bad situation worse, but the situation is already so bad that I doubt that it really makes a difference.

Paradoxically it might be safer to work like this with direct infusion because at least the background composition, and therefore the ion suppressions, are uniform for all analytes (with all the usual escape clauses !) whereas in chromatography the invisible junk eluting behind the peaks is continually changing.

By the way, do you (or anyone else) have any references on the response factors of the FID - I looked for some and there is so little that I fear that its lack of selectivity and huge dynamic range might be dangerously close to folklore !. Decades ago (when I was interested in other things) there seemed to be a lot of literature on it, but it has dropped off the edge of the internet horizon.

Cheers

Peter
Peter Apps

Hi Peter,
Point taken about the many problems with semiquantitation by LC/GC MS. I still think we could all do ourselves a favour by not blatantly ignoring basic theory of ionization in MS when doing semiquantitative work.

On the issue of FID linearity, sadly I don't have any relevant references to hand. However, we do a lot of FAME analyses, and found for chain lengths from C4 to C30, RFs are always 1 +/- 0.1, so we assume 1 for unknowns and jsut do a 1-point calibration. Linearity is over at least 4 orders of magnitude; practically this is the limit of the column loading capacity.

I really like FID detection, and lament the passing of the moving-wire type of FID that used to be available for LC. It seems to me that with the advent of high-resolution LC, using either long monolithic columns or UPLC separations, it is now becoming possible to chromatographically resolve hundreds or even thousands of compounds. This means a MS may no longer be necessary for compound resolution, but only identification. In my experience, APCI gives better semiquantitative information than ESI, but even APCI doesn't give proportinal responses anywhere like a FID. We are currently experimenting with APPI/APCI combinations to see if this improves "universality". In my experience, even so-called universal detectors like ELSD behave very much like APCI, i.e. response is still very compound dependent.

If the eluent from high-res separations could be split between a MS and a FID detector, the latter could give far superior semiquantitative information, with the corresponding MS info used for structural determination.

Cheers
Tony
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