Methods
Analytical methods rely on scrupulous attention to cleanliness, sample preparation, precision, and accuracy. Many practitioners will keep all their glassware in acid to prevent contamination, samples will be re-run many times over, and equipment will be washed in specially pure solvents.
A standard method for analysis of concentration involves the creation of a calibration curve. The experimenter will create a series of standards across the range of concentrations that are of interest. They must take care that these concentrations are in the detection range of the technique (instrumentation) they are using. These standards will have a precisely known concentration of the element or compound under study. Running each of these standards several times using the chosen technique will produce a series of readings, each set indicative of one of the known concentrations. By plotting these points (reading vs concentration) on a graph, it is possible to plot a line of reading vs concentration across the detection range of that technique. Thus, when the sample is run and a reading obtained, the experimenter can simply refer to the graph to read off the concentration.
If the concentration of element or compound in the sample is too high for the detection range of the technique, it can simply be diluted in a pure solvent. If the amount in the sample is below an instrument's range of measurement, the method of addition can be used. In this method a known quantity of the element or compound under study is added, and the difference between the concentration added, and the concentration observed is the amount actually in the sample.