Abstract: This invention provides methods and apparatus for determining the presence or absence of a specific constituent in a mixture. The method includes the steps of (a) applying energy to the mixture to cause constituents in the mixture to produce characteristic patterns of spectral lines and detecting quantity values at the spectral lines, wherein a quantity value may represent a contribution of two or more constituents; (b) comparing detected quantity values for a number N of spectral lines from a pattern of spectral lines characteristic of the specific constituent with known quantity values for the N spectral lines; (c) determining whether the detected quantity values for the N spectral lines fall within a predetermined error range, and; (d) determining the presence of the constituent in the mixture when detected quantity values of a number of spectral lines less than N fall within the predetermined error range.