The relative molar percentages of Δdi-4S and Δdi-6S isomers in a mixture were calculated from the observed relative intensities of the diagnostic ions for each isomer in the MS
2 spectrum of that mixture, using a system of two equations that correct for the presence of additional ions in the MS
2 spectrum, as described elsewhere.
24 25 33 The relative intensities of each of the diagnostic ions for each isomer, m/z 299.9 for Δdi-4S and m/z 281.8 for Δdi-6S, in the MS
2 spectra of each isomer disaccharide when analyzed alone (see
Figs. 4B 4C ) were measured six times. The percentage ion contribution of each diagnostic ion to the total ion current (TIC) was then determined by exporting the mass list of the spectrum of interest into a computer program (SpecManager; ACD Labs, Toronto, Ontario, Canada;
Table 1 ), and an average was computed. These average percent contributions were then used in the following two equations
\[72.109A\ {+}\ 2.578B\ {=}\ C_{299.9}\]
\[1.400A\ {+}\ 88.823B\ {=}\ C_{281.8},\]
where
A and
B are the apparent percentages of Δdi-4S and Δdi-6S in any unknown mixture, and
C 299.9 and
C 281.8 are the percentage contributions of the two diagnostic ions in the mixture. However, because many factors influence peak intensities in a mixture, including differences in the respective ionization efficiencies of the isomers,
22 further normalization factors,
R 4S and
R 6S, must be used. To determine these normalization factors, the percentage contribution of each diagnostic ion was determined from the MS
2 spectrum of a 1:1 mixture of Δdi-4S and Δdi-6S, as described in
Table 1 , and these observed percentages for
C 299.9 and
C 281.8 were substituted in
equations 3 and 4 , respectively. The equations were then solved for
A (70.450) and
B (30.270). Normalization factor
R 4S for m/z 299.9 is thus calculated to be 0.710 in the 1:1 mixture (50/70.450), and
R 6S for m/z 281.8 is calculated to be 1.652 in the 1:1 mixture (50/30.270). After normalizing, the observed values for
A and
B are then converted to the actual relative molar percentages of Δdi-4S and Δdi-6S in an unknown mixture by dividing each normalized observed value by the sum of the two normalized observed values.
24 Experimental verification of the use of these equations for determining the molar percentages of Δdi-4S and Δdi-6S in a mixture are presented in the Results (see
Fig. 5 ,
Table 2 ).