Homogeneity Calculations

EPMA Xtreme Probe

Homogeneity Calculations

The program will also calculate homogeneity evaluations based on the standard error statistics of the deviation of the mean.

The range of homogeneity in plus or minus weight percent.

          The level of homogeneity in plus or minus percent of the concentration.

          Where :                        is the concentration to be compared with

                             C        is the actual concentration in weight percent of the sample

                                is the Student t for a 1-α confidence and n-1 degrees of freedom

                             n        is the number of data points acquired

                                   is the standard deviation of the measured values (count intensity)

                                    is the average number of counts on the unknown

The homogeneity test merely compares the 99 % confidence range of homogeneity value with 1 % of the sample concentration for each element. If the range of homogeneity is less than 1 % of the sample concentration then the sample may be considered to be homogenous within 1 %. Note that the homogenous sample detection limit calculation are ignored for those elements which occur as minor or major concentrations (> 1 %).