Resolving power and mass accuracy are two different specifications

Two specifications are quoted for mass spectrometers and they are routinely conflated. Resolving power describes the instrument’s ability to present two ions of similar mass as two peaks rather than one, and is expressed as a mass divided by the peak width at half height. Mass accuracy describes how close a measured mass is to the true one, and is expressed in parts per million. An instrument with high resolving power and poor calibration will show you two peaks and put both in the wrong place. An instrument with excellent calibration and low resolving power will confidently report the average of two species as though it were one.

Resolving power, defined and then converted

Resolving power is conventionally defined as m divided by Δm, where Δm is the width of the peak at half its maximum height. An instrument quoted at 30,000 resolving power at m/z 1000 produces peaks roughly 0.033 wide at that position, which is sufficient to separate the isotope peaks of a triply charged ion. The same instrument at m/z 4000 may deliver rather less, because resolving power is not constant across the mass range and the figure on a specification sheet is quoted at whichever mass flatters it.

The number that matters for identity work is whether the instrument can separate two species whose masses differ by the amount you care about. To distinguish a deamidated peptide from its parent at four thousand daltons requires separating peaks 0.98 apart, which is a resolving power of roughly four thousand — modest. To distinguish a glutamine-for-lysine substitution requires separating peaks 0.036 apart at the same mass, which is a resolving power above one hundred thousand. Those two requirements differ by a factor of twenty-five and both are described in the trade by the same phrase, high resolution.

The Journal’s practice, adopted after an exchange with a laboratory that pointed out we had been sloppy about it, is to state the discrimination rather than the specification: not “high-resolution MS”, but “sufficient to resolve a 0.98-dalton shift at the parent mass”. It is longer and it says something.¹

Mass accuracy, and what a tolerance ought to be

Mass accuracy is the difference between the measured mass and the true mass, expressed in parts per million of the measured value. It depends on calibration, on the stability of the instrument’s electronics and temperature, on the number of ions arriving at the detector, and on whether an internal calibrant was co-analysed with the sample. It is not a fixed property of an instrument; it is a property of a measurement made on an instrument on a particular day.

Certificates in this market seldom state a tolerance at all. Where they do, the figure is usually expressed in daltons rather than parts per million and is generous: ±0.5 or ±1.0 dalton is common, which at incretin molecular weights corresponds to 120 to 240 parts per million and is achievable on almost any instrument sold in the last thirty years. A tolerance that no plausible measurement could fail is not an acceptance criterion. It is a formality.

What a meaningful criterion looks like is not mysterious. State the theoretical mass and its convention, state the observed mass, state the deviation in parts per million, and state the limit above which the result would have been reported as non-conforming. Four numbers, all of them already known to the analyst. The compendial framework for validating an analytical procedure asks for exactly this kind of specificity about what a test can discriminate, and the framework predates this market by decades.²

The instrument classes, and what each can support

A single quadrupole mass filter provides unit resolution and mass accuracy of a few tenths of a dalton. It is entirely adequate to confirm that a sample is broadly the compound expected and to detect large modifications, and it is the analyser in most low-cost LC-MS systems. It cannot resolve an isotopic envelope at peptide molecular weights and therefore cannot assign charge from spacing.

Time-of-flight analysers separate ions by the time they take to traverse a flight tube. A linear tube gives modest resolving power; adding a reflectron and delayed extraction raises it into the tens of thousands, and modern quadrupole time-of-flight hybrids achieve low single-figure parts-per-million accuracy with routine calibration. Orbital trapping instruments measure the frequency of ion oscillation in an electrostatic field and convert it by Fourier transform, delivering resolving powers from sixty thousand to several hundred thousand and sub-part-per-million accuracy with internal calibration. Fourier-transform ion cyclotron resonance remains the highest-performing class and the least common outside academic facilities.

What this hierarchy means for a reader of certificates is that the instrument named on the document sets a ceiling on what the document can claim, independent of the laboratory’s competence. An unnamed instrument leaves that ceiling unknown, which is why the Journal now treats the absence of an instrument name as a material omission rather than a stylistic one.

Calibration, drift, and the internal standard

Every mass spectrometer is calibrated against a mixture of compounds of known exact mass, and every mass spectrometer drifts away from that calibration afterwards. The rate depends on the analyser type, on ambient temperature stability, and in trapping instruments on the number of ions in the trap: space-charge effects shift apparent masses in a manner that depends on how much sample was injected.

External calibration means the calibrant was run separately, before or after the samples. It is simple, it is what most routine work uses, and it is vulnerable to everything that happens between the calibration and the sample. Internal calibration means a compound of known mass was present in the same spectrum as the analyte, so the correction is applied to the measurement rather than to the instrument. Internal calibration is the reason sub-part-per-million figures are achievable at all, and it is the difference between a stated accuracy and a demonstrated one.

None of this is exotic or contested; it is ordinary laboratory practice, described in accreditation requirements as part of metrological traceability and in the pharmacopoeial chapters as part of system suitability.³ The reason it belongs in an article aimed at buyers is that it explains why two competent laboratories analysing the same vial on the same class of instrument can differ by tens of parts per million, and why the honest response to such a difference is to ask about calibration rather than about honesty.

A short glossary, because the terms are used loosely

m/z — mass-to-charge ratio, the quantity a mass spectrometer actually measures. Monoisotopic mass — mass calculated using the lightest stable isotope of each element. Average mass — mass calculated using standard atomic weights. Nominal mass — the integer sum of integer isotope masses; adequate for small molecules, useless here.

Resolving power — m divided by peak width at half height; the ability to separate nearby masses. Mass accuracy — deviation of a measurement from the true value, in parts per million. Mass defect — the difference between an exact mass and its nominal value, and the property that makes near-isobars separable.

Adduct — an ion formed by association with something other than a proton, commonly sodium or potassium. Charge-state envelope — the family of differently charged ions from one compound. Isobaric — of identical mass at the achieved precision. Isomeric — of identical composition and different structure. b and y ions — the complementary fragment series produced by amide-bond cleavage.

Precision in these terms is not decoration. Several disputes this department has been asked to adjudicate turned out, on inspection, to be disagreements about whether the word mass meant monoisotopic or average.

The next piece in this department takes the document rather than the instrument as its subject: what a certificate of analysis contains, what it systematically omits, and how to check one in the time it takes to drink a coffee. Identity is one line on that page, and by the standards of the rest of it, one of the better-behaved ones.