Computational algorithms in ion-selective electrode potentiometry by the two standard additions method

Abstract

Until now, the various computing equations for standard additions methods have been empirical. Workers have used their own judgement to decide whether a solution existed to a given equation and selected an iterative equation and an initial approximation accordingly. If the computed results were wrong, it was not apparent whether this was caused by using the wrong computational method or incorrect experimental processes. Clearly, this situation is unsatisfactory. In this paper, the existence theorems of solutions and the “non-local” convergence equations are given. On the basis of these, rapid algorithms and programs are recommended. Some computed results are listed to prove the accuracy of the programs. These programs not only handle data, but are also suitable for incorporation in the read only memory of a microcomputer ion meter.