ON THE MATHEMATICAL MODELS OF THE FARADAIC ADMITTANCE OF IRREVERSIBLE REACTIONS

摘要

＜正＞ Based on the basic conditions for admittance,equations（a）and（b）are deduced for irreversible elec-trode reactions whose rates depend upon one or two state variables besides electrode potential under thecondition that the effect of diffusion process can be ignored.YF=1/Rt+B/（a+jω）.（a）YF=1/Rt+（A+jωB）/（D-ω~2+jωT）.（b）It is proved that the parameters in these two equations must fulfill the stability conditions of steady pro-cesses,a＞0 for Eq.（a）and T~2≥4D,D＞0 for Eq.（b）.The results are verified by Kramers-Kronigtransforms.The possible applications of the established mathematical models of Faradaic admittance arebriefly discussed.