A diagram representing the principle of stable-isotope dilution and the factors in the
mass balance equation that correspond to each part of the equation using
13C-tracer as an example. Closed circles represent heavy isotopes and open
circles represent light (common) isotopes. The variables a,
b, and c, which refer to molar quantities in the
mass balance equation, are represented in units of atoms as pictured.
Fa, Fb, and
Fc are calculated by dividing the number of
13C atoms by the number of total carbon atoms in a sample. An example
solution of b without knowing b or c
is shown: (Fa × a) +
(Fb × b) =
(Fc × c) is numerically verified (2 + 1 =
3) and a + b = c (20 + 100 =
120).