The sub- and super-equivalence method of isotope dilution XIII. Theoretical error of the CVC and VCC variants

The theoretical error of both the CVC and VCC variants at non-quantitative complex forming reaction M+LML has been studied. The erros of analysis for the following analytical curve determinations are considered: (1) measurement with constant error of the analytical function, (2) measurement with registration of a constant number of disintegrations, (3) measurement at constant time of radioactivity measurement of isolated products. Conditions of isoconcentration point existence are determined. Intervals of parameters at which the relative error of the analysis result is comparable with that of the analytical curve are found out. The optimal conditions of analysis are discussed. Errors of both the CVC and VCC variants are compared with that of the CCV variant. Graphs of the theoretical error of analysis are given. The sub-super equivalent isotope dilution method (SSE IDA) has seven basic variants which can be classified by the CCV, CVC, VCC, VVC, VCV, CVV and VVV codes. The theroretical error of the CCV variant was studied earlier. In the present work, a study of errors of both the CVC and VCC variants is performed and extended to radioactivity measurement regimes that can be easily automated. The radioactive background of measurements is taken into account. Previous results and conclusions are corrected. Erros of both the CVC and VCC variants are compared with that of the CCV variant.