A Staircase convolution polarograph was constructed. In this polarograph, the staircase voltammetry current,
i, is converted to a new function,
Ic, which represents the change of the surface concentration of depolarizer, by Ichise's s
-1/2 module according to eq. (1)
Ic=∫
t0i(η)/√π(
t-η)dη……(1)
Theoretical expression of the current
vs. potential curves in staircase voltammetry and staircase convolution voltammetry with the step voltage of Δ
E and the step interval of τ are discribed as nondimensional functions (2) and (3),
ψ
s(j, Δζ)=i√τ/
nFA*
C√
D……(2)
φ
s(j, Δζ)=
Ic/
nFA*
C√
D……(3)
for an n-electron reversible reduction step, where Δζ=
nFΔ
E/
RT,
t=jτ with j=1, 2, 3, …,
A=electrode surface area and other symbols have usual meanings. Experimental results generally agreed with theoretical predictions (for 10 ppm Cd
2+ in 0.1 M KCl with Hanging mercury drop electrode). By staircase convolution voltammetry the charging current was effectively eliminated and linear correlations between
Ic and concentration were obtaind for Cd
2+ and Pb
2+ in the concentration range from 10
-7 to 10
-4 M.
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