##
1372
Effective Data Treatment for Impulse Chronopotentiometry

According to this method alloy sample is attached to the cell as a working electrode and is oxidized by series of pulses of current. Parameters of these pulses are selected so that contents of elements in solution would be the same as in an alloy. This solution is later reduced by series of pulses of opposite polarity current. Thus, obtained chronopotentiogram *E _{j}=[e_{j1},e_{j2}...e_{jn}]^{T}* (fig. 1) consists of two stages: oxidation and reduction and its form depends on alloy composition.

However, as seen on fig. 1, obtained chronopotentiogram has a complex shape which doesn’t allow defining alloy composition directly by potential values of* E _{j}*. Therefore chronopotentiometry data treatment comes down to extracting required information from potential values vector

*E*. This extraction is often based on mathematical model of used electrochemical process with models like Poisson-Nernst-Planck system [2] and convolutions [3] being used.

_{j}Proposed approach to chronopotentiometry data treatment is similar to convolutive modeling, except for weight functions *V *are defined not theoretically from analysis of used process but adaptively as eigenvectors of covariance matrix ** K **of training set of chronopotentiograms

*KV=VΛ**where*

*- diagonal matrix of eigenvalues*

**Λ****of matrix**

*λ*_{i}*. Extraction is made via the following conversion:*

**K**

**Y**_{j}=V^{T}E_{j}_{ }. And source chronopotentiogram can be recovered from

*via the following:*

**Y**_{j }*where*

**E**_{j}=Σy_{ji}V_{i}+Q_{j }*is constant bias vector.*

**Q**_{j}As a result of application of this approach to chronopotentiograms of molybdenum alloys obtained potential values vectors *E _{j}=[e_{j,1},e_{j,2}...e_{j,728}]^{T}* were converted into vectors

*Y*, i.e. chronopotentiograms dimension was 242 times reduced. In addition, this approach allows unification of chronopotentiometry data treatment independently from analyzed alloy composition.

_{j}=[y_{j,1},y_{j,2}...y_{j,4}]^{T}- van Leewen HP, Coulostatic pulse techniques. In: Bard AJ (ed),
*Electroanalytical chemistry*, 1982, vol. 12, pp 157-238. - Nagai Junichi, Graham D. McMeeking, Modeling of electrochromic processes,
*Electrochimica Acta,*1999 Vol. 44, p. 219-229. - Peter J. Mahon, Keith B. Oldham, Incorporating electrode kinetics into the convolutive modeling of reactions at planar, cylindrical and spherical electrodes,
*Journal of Electroanalyrical Chemistry*, 1998, Vol. 445.