At the present stage of development of mathematical correction procedures, the so-called empirical methods are well established and reasonably reliable, require relatively small computers for their application, but require large numbers of calibration standards for the determination of the (alpha) correction constants. On the other hand, the so-called fundamental methods are less well proven and require more sophisticated computing facilities. One possible means of achieving the advantages of both techniques is to use a large computer to calculate the alpha coefficients from fundamental constants, then to use a small online computer for their application in an "empirical type" algorithm. de Jongh has proposed such a program called "ALPHAS" for the calculation of interelement correction constants and the present paper elaborates on this approach using as examples data collected in our own laboratory during the past year or so.