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ESI-MS Adduct m/z Calculator ([M+H]+, [M+Na]+, Neutral Mass)

Compute m/z for common ESI adducts ([M+H]+, [M+Na]+, [M+2H]²+) from neutral exact mass or molecular formula; back-calculate neutral mass from observed m/z.

A mass spectrometer measures the mass-to-charge ratio m/z, not molecular weight directly. In electrospray ionization (ESI), neutral molecules gain or lose one or more protons in solution, forming charged ions that enter the detector. A single molecule can produce multiple adduct ions, each with a different m/z. Misassigning adducts shifts the molecular weight calculation and causes database searches to return wrong compounds or no hits at all.

Core Formulas

Forward — calculate adduct m/z from neutral exact mass:

m/z = (M + Σ m_adduct) / |z|

M is the monoisotopic exact mass of the neutral molecule (Da); Σ m_adduct is the summed mass contribution from all adduct species; |z| is the absolute charge state.

Common adduct mass contributions (Da):

Positive ion mode (ESI+)
  [M+H]+          M + 1.007276          z = 1
  [M+Na]+         M + 22.989218         z = 1
  [M+K]+          M + 38.963158         z = 1
  [M+NH4]+        M + 18.033825         z = 1
  [M+2H]2+        M + 2 × 1.007276      z = 2
  [M+H+Na]2+      M + 1.007276 + 22.989218   z = 2
  [M+3H]3+        M + 3 × 1.007276      z = 3

Negative ion mode (ESI−)
  [M−H]−          M − 1.007276          z = 1
  [M+Cl]−         M + 34.969402         z = 1
  [M+HCOO]−       M + 44.998201         z = 1
  [M+CH3COO]−     M + 59.013851         z = 1
  [M−2H]2−        M − 2 × 1.007276      z = 2

Reverse — calculate neutral mass from observed m/z:

M = m/z × |z| − Σ m_adduct

Worked Examples

Caffeine (C₈H₁₀N₄O₂, M = 194.080376 Da), positive ion mode:

[M+H]+:   (194.080376 + 1.007276) / 1 = 195.0877 Da  ← PubChem CID 2519 theoretical value
[M+Na]+:  (194.080376 + 22.989218) / 1 = 217.0696 Da  ← agrees with literature value 217.0695
[M+2H]2+: (194.080376 + 2 × 1.007276) / 2 = 98.0475 Da

Reverse check: given m/z = 195.0877, z = 1, adduct [M+H]+, then M = 195.0877 × 1 − 1.007276 = 194.0804 Da ✓

Aspirin (C₉H₈O₄, M = 180.042259 Da), negative ion mode:

[M−H]−:   (180.042259 − 1.007276) / 1 = 179.0350 Da  ← literature value 179.0350
[M+Cl]−:  (180.042259 + 34.969402) / 1 = 215.0117 Da  ← literature value 215.0116

Why Proton Mass, Not Hydrogen Atom Mass

ESI ionization transfers a proton (H⁺), which carries no electron and has a mass of 1.007276 Da (NIST CODATA 2018). A hydrogen atom has one additional electron and a mass of 1.007825 Da; the difference is 0.000549 Da (one electron mass). High-resolution mass spectrometers typically achieve ≤ 5 ppm accuracy; for a 200 Da compound, 1 ppm = 0.2 mDa, and the proton–hydrogen difference of 0.55 mDa ≈ 2.7 ppm is large enough to cause wrong or missed hits in exact-mass database searches. Proton mass must be used.

Monoisotopic Mass vs. Average Molecular Weight

Monoisotopic mass Average molecular weight
Basis Mass of the most abundant isotope of each element Abundance-weighted over natural isotopes
Use case HRMS database searching Low-resolution MS, gravimetric calculations
Difference from monoisotopic Reference ~+0.1 Da at 200 Da; ~+2 Da at 5 kDa

If you only have the average molecular weight (e.g. from a reagent bottle label), there will be a significant offset in HRMS searches. Confirm the monoisotopic mass in PubChem or ChemDraw before querying.

Scope

Common Mistakes

FAQ

What is the difference between monoisotopic mass and average molecular weight, and which should I use?

High-resolution mass spectrometers (Orbitrap, QTOF) measure monoisotopic mass, calculated from the most abundant isotope of each element (¹²C = 12.000000, ¹H = 1.007825, ¹⁴N = 14.003074, ¹⁶O = 15.994915 Da). Average molecular weight is abundance-weighted over natural isotopes; for a 200 Da small molecule it exceeds monoisotopic mass by ~0.1 Da, and for a 5 kDa peptide by more than 2 Da. When searching HMDB, PubChem, or similar databases with HRMS data, always use monoisotopic mass.

Why use proton mass 1.007276 Da rather than hydrogen atom mass 1.007940 Da?

ESI ionization transfers a proton (H⁺), which carries no electron and has a mass of 1.007276 Da. A hydrogen atom has one additional electron (0.000549 Da), giving a mass of 1.007940 Da. High-resolution mass spectrometers typically achieve < 5 ppm accuracy; for a 200 Da compound, 5 ppm ≈ 1 mDa, and the 0.55 mDa proton–hydrogen difference is large enough to produce detectable offsets in exact-mass matching — proton mass must be used.

What is the m/z difference between [M+Na]+ and [M+H]+, and how do I tell them apart in a spectrum?

[M+Na]+ is 21.982 Da above [M+H]+ (= 22.989218 − 1.007276). In the positive-ion spectrum of a given compound, these two peaks always differ by exactly this value, which is the basis for adduct assignment. To suppress sodium adducts, add 0.1% formic acid or 5–10 mM ammonium acetate to the mobile phase to increase proton competition.

Is this tool suitable for intact protein analysis?

No. Intact proteins generate a multiply charged envelope in ESI — a series of peaks at adjacent charge states — and require dedicated deconvolution software (e.g. Protein Deconvolution, UniDec) to recover the neutral mass. This tool is for small molecules < 2000 Da (drugs, metabolites, lipids) and short peptides with a known charge state; it does not parse spectral data, only computes theoretical m/z.

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