Mass Spectrometry

Accurate Mass


In the example above involving benzamide (C7H7NO), the molecular ion (M+) has a mass-to-charge ratio (m/z) of 121. This value is calculated using the most abundant isotopes of the elements present in the molecule:

 
7 * 12C = 84
7 * 1H = 7
1 * 14N = 14
1 * 16O = 16
121

This calculation gives the unit mass molecular ion. Modern high-resolution mass spectrometers are capable of determining very precise and accurate molecular weights for substances. Whereas typical chemical methods (vapor density, cryoscopy, vapor pressure osmometry, and neutralization equivalent) are accurate to within 0.1 to 1% (two or three significant figures), certain mass spectrometers have an accuracy of 0.0005% or better. What does this mean? The accurate mass can yield the chemical formula for a substance directly. To illustrate, a molecule with a nominal molecular weight of 60 could have any of the following chemical formulas: C3H8O, C2H8N2, C2H4O2, or CH4N2O. These compounds would have accurate masses as follows:

C3H8O 60.05754
C2H8N2 60.06884
C2H4O2 60.02112
CH4N2O 60.03242

If the accurate mass of the M+ were determined to be 60.02112, then the only possible chemical formula for the substance would be C2H4O2.

These accurate masses can be calculated using the accurate masses of the elements given in Table 2 below. In the table, the column “Atomic Weight” contains the chemical atomic weight of the elements, which is an average of the weights of the naturally occurring isotopes (weighted by their abundance on earth).

Table 2. Accurate masses for the elements commonly found in organic compounds.
Element Atomic Weight Nuclide Mass
Hydrogen 1.00797 1H 1.00783
    2H 2.01410
Carbon 12.01115 12C 12.0000
    13C 13.00336
Nitrogen 14.0067 14N 14.0031
    15N 15.0001
Oxygen 15.9994 16O 15.9949
    17O 16.9991
    18O 17.9992
Fluorine 18.9984 19F 18.9984
Silicone 28.086 28Si 27.9769
    29Si 28.9765
    30Si 29.9738
Phosphorus 30.974 31P 30.9738
Sulfur 32.064 32S 31.9721
    33S 32.9715
    34S 33.9679
Chlorine 35.453 35Cl 34.9689
    37Cl 36.9659
Bromine 79.909 79Br 78.9183
    81Br 80.9163
Iodine 126.904 127I 126.9045

Returning to the example of benzamide, the accurate masses for the three most likely formulas ascertained from the molecular ion are: 121.08923 (C8H11N), 121.06411 (C6H7N3), and 121.05281 (C7H7NO). Selection of the correct formula is straightforward if the accurate mass is determined by high resolution mass spectrometry.