### Abstract

The use of a transformation is proposed by which the results of voltammetric measurements based on diffusion of reversible redox couples to an electrode of any geometry can be presented in the form of a standardized function T. To characterize the time dependence of the diffusion we define the function G(s) by writing the Cottrell response of the species i in the form Ī_{i,}cottrell(s) = ±K_{i}c_{i}*G(s)/s where K_{i} is a constant, c_{i}* the bulk concentration of the diffusing species, s the Laplace variable; then we show that: (a) any voltammetric curve (Ī(s)) measured in the same system can be transformed to potential program invariant form by computing the function T = L^{-1}{Ī(s)/G(s)}; (b) the diffusional admittance of the same system is expressed by Y(S) = G(s)dT/dE; (c) one can perform the transformation yielding the potential program invariant form by passing the I(t) function through a numeric filter having 1/G(s) transfer characteristics.

Original language | English |
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Pages (from-to) | 13-19 |

Number of pages | 7 |

Journal | Journal of Electroanalytical Chemistry |

Volume | 422 |

Issue number | 1-2 |

Publication status | Published - Feb 15 1997 |

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### Keywords

- Diffusion-controlled electrode process
- Numerical transformation
- Potential program invariant representation
- Voltammetric measurements

### ASJC Scopus subject areas

- Chemical Engineering(all)
- Analytical Chemistry
- Electrochemistry

### Cite this

**Potential program invariant representation of voltammetric measurement results of reversible redox couples.** / Pajkossy, T.

Research output: Contribution to journal › Article

*Journal of Electroanalytical Chemistry*, vol. 422, no. 1-2, pp. 13-19.

}

TY - JOUR

T1 - Potential program invariant representation of voltammetric measurement results of reversible redox couples

AU - Pajkossy, T.

PY - 1997/2/15

Y1 - 1997/2/15

N2 - The use of a transformation is proposed by which the results of voltammetric measurements based on diffusion of reversible redox couples to an electrode of any geometry can be presented in the form of a standardized function T. To characterize the time dependence of the diffusion we define the function G(s) by writing the Cottrell response of the species i in the form Īi,cottrell(s) = ±Kici*G(s)/s where Ki is a constant, ci* the bulk concentration of the diffusing species, s the Laplace variable; then we show that: (a) any voltammetric curve (Ī(s)) measured in the same system can be transformed to potential program invariant form by computing the function T = L-1{Ī(s)/G(s)}; (b) the diffusional admittance of the same system is expressed by Y(S) = G(s)dT/dE; (c) one can perform the transformation yielding the potential program invariant form by passing the I(t) function through a numeric filter having 1/G(s) transfer characteristics.

AB - The use of a transformation is proposed by which the results of voltammetric measurements based on diffusion of reversible redox couples to an electrode of any geometry can be presented in the form of a standardized function T. To characterize the time dependence of the diffusion we define the function G(s) by writing the Cottrell response of the species i in the form Īi,cottrell(s) = ±Kici*G(s)/s where Ki is a constant, ci* the bulk concentration of the diffusing species, s the Laplace variable; then we show that: (a) any voltammetric curve (Ī(s)) measured in the same system can be transformed to potential program invariant form by computing the function T = L-1{Ī(s)/G(s)}; (b) the diffusional admittance of the same system is expressed by Y(S) = G(s)dT/dE; (c) one can perform the transformation yielding the potential program invariant form by passing the I(t) function through a numeric filter having 1/G(s) transfer characteristics.

KW - Diffusion-controlled electrode process

KW - Numerical transformation

KW - Potential program invariant representation

KW - Voltammetric measurements

UR - http://www.scopus.com/inward/record.url?scp=0031073427&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031073427&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031073427

VL - 422

SP - 13

EP - 19

JO - Journal of Electroanalytical Chemistry

JF - Journal of Electroanalytical Chemistry

SN - 0022-0728

IS - 1-2

ER -