There are several
configurations that can occur while solving curves where the Dual Current
Density Method and these all had to be programmed into the software.
However, calculations are provided here for solving for the most typical
configuration and that shown in Figures 16 and 17, namely, where there is a
cuprous inflection point before the transition and a cupric inflection point
Cuprous Thickness = εcuprous * Kcuprous * tcuprous * CDinitial
Cupric Thickness = εcupric * Kcupric ((ttransition - tcuprous) CDinitial
+ (tcupric - ttransition) CDfinal)
Total Thickness = CDinitial (εcuprous * Kcuprous * tcuprous
+ εcupric * Kcupric * (ttransition - tcuprous) )
+ CDfinal * εcupric * Kcupric (tcupric - ttransition) 
and CDfinal are the initial and final current densities,
respectively and ttransition is the time at which the transition
occurs during the test.