The core principle is that the average atomic mass of an element represents a weighted arithmetic mean derived from its constituent isotopes' masses and their relative fractional abundances. This calculation relies on the conservation constraint wherein the sum of all individual isotopic fractions must equal unity (100%), allowing for the formulation of a linear system to solve for unknown abundances when two components are present. The domain is analytical chemistry, specifically nuclear properties and atomic structure theory, where this mechanism bridges empirical mass spectrometry data with theoretical elemental composition models.
The core principle is that the average atomic mass of an element represents a weighted arithmetic mean derived from its constituent isotopes' masses and their relative fractional abundances. This cal…