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2015 | OriginalPaper | Buchkapitel

6. Models Involving One-Dimensional Convection-Diffusion

verfasst von : Lesław K. Bieniasz

Erschienen in: Modelling Electroanalytical Experiments by the Integral Equation Method

Verlag: Springer Berlin Heidelberg

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Abstract

Electroanalytical models involving one-dimensional convection-diffusion transport are similar to models involving pure diffusion, discussed in Chap. 5, in that a separate concentration–production rate relationship exists for every dynamic distributed species. However, the interfacial species production rate may generally not vanish in the initial state of the system. Integral concentration–production rate relationships are obtainable, in particular, for convection-diffusion at dropping mercury electrodes; rotating disk electrodes; and channel or tubular electrodes (provided that the Singh–Dutt approximation is used). Algebraic concentration–production rate relationships exist at steady state, for rotating disk electrodes, and channel or tubular electrodes.

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Literatur
1.
Zurück zum Zitat Abramowitz M, Stegun IA (1972) Handbook of mathematical functions. Dover Publications, New York Abramowitz M, Stegun IA (1972) Handbook of mathematical functions. Dover Publications, New York
2.
Zurück zum Zitat Aoki K, Osteryoung J (1980) Theory of differential pulse polarography at expanding or stationary planar electrodes for quasi-reversible or totally irreversible reactions. J Electroanal Chem 110:19–36 Aoki K, Osteryoung J (1980) Theory of differential pulse polarography at expanding or stationary planar electrodes for quasi-reversible or totally irreversible reactions. J Electroanal Chem 110:19–36
3.
Zurück zum Zitat Compton RG, Unwin PR (1989) A critical assessment of the theories for linear sweep voltammetry of reversible electrode processes at a channel electrode. J Electroanal Chem 264:27–36CrossRef Compton RG, Unwin PR (1989) A critical assessment of the theories for linear sweep voltammetry of reversible electrode processes at a channel electrode. J Electroanal Chem 264:27–36CrossRef
4.
Zurück zum Zitat Compton RG, Pilkington MBG, Stearn GM, Unwin PR (1987) Mass transport to channel and tubular electrodes: the “Singh and Dutt approximation”. J Electroanal Chem 238:43–66CrossRef Compton RG, Pilkington MBG, Stearn GM, Unwin PR (1987) Mass transport to channel and tubular electrodes: the “Singh and Dutt approximation”. J Electroanal Chem 238:43–66CrossRef
5.
Zurück zum Zitat Delmastro JR, Smith DE (1967) Some considerations on the effect of alternating potential amplitude in AC polarography. J Electroanal Chem 14:261–268CrossRef Delmastro JR, Smith DE (1967) Some considerations on the effect of alternating potential amplitude in AC polarography. J Electroanal Chem 14:261–268CrossRef
6.
Zurück zum Zitat Dutt J, Singh T (1985) Linear sweep voltammetry at the tubular electrode. J Electroanal Chem 182:259–266CrossRef Dutt J, Singh T (1985) Linear sweep voltammetry at the tubular electrode. J Electroanal Chem 182:259–266CrossRef
7.
Zurück zum Zitat Dutt J, Singh T (1986) Linear sweep voltammetry at the tubular graphite electrode. Part III. Quasi-reversible process. J Electroanal Chem 207:41–48 Dutt J, Singh T (1986) Linear sweep voltammetry at the tubular graphite electrode. Part III. Quasi-reversible process. J Electroanal Chem 207:41–48
8.
Zurück zum Zitat Filinovskii VYu, Kiryanov VA (1964) On the theory of non-stationary convective diffusion at the rotating disk electrode. Dokl Akad Nauk SSSR 156:1412–1415 (in Russian) Filinovskii VYu, Kiryanov VA (1964) On the theory of non-stationary convective diffusion at the rotating disk electrode. Dokl Akad Nauk SSSR 156:1412–1415 (in Russian)
9.
Zurück zum Zitat Girina GP, Filinovskii VYu, Feoktistov LG (1967) Dependence of the current on potential sweep rate and disk electrode rotation rate in the case of linearly changing potential. Elektrohim 3:941–945 (in Russian) Girina GP, Filinovskii VYu, Feoktistov LG (1967) Dependence of the current on potential sweep rate and disk electrode rotation rate in the case of linearly changing potential. Elektrohim 3:941–945 (in Russian)
10.
Zurück zum Zitat Komorsky Š, Lovrić M (1980) Simple EEE mechanism at DME. J Electroanal Chem 112:169–174CrossRef Komorsky Š, Lovrić M (1980) Simple EEE mechanism at DME. J Electroanal Chem 112:169–174CrossRef
11.
Zurück zum Zitat Krylov VS, Babak VN (1971) Unsteady diffusion towards the rotating disk surface. Elektrohim 7:649–654 (in Russian) Krylov VS, Babak VN (1971) Unsteady diffusion towards the rotating disk surface. Elektrohim 7:649–654 (in Russian)
12.
Zurück zum Zitat Lovrić M, Branica M (1985) Drop life-time dependence of current density in differential pulse polarography. J Electroanal Chem 183:107–122CrossRef Lovrić M, Branica M (1985) Drop life-time dependence of current density in differential pulse polarography. J Electroanal Chem 183:107–122CrossRef
13.
Zurück zum Zitat Matsuda H (1957) Beiträge zur Theorie der polarographischen Stromstärke. Allgemeine Formel der diffusionsbedingten Stromstärke und ihre Anwendung. Z Elektrochem 61:489–506 Matsuda H (1957) Beiträge zur Theorie der polarographischen Stromstärke. Allgemeine Formel der diffusionsbedingten Stromstärke und ihre Anwendung. Z Elektrochem 61:489–506
14.
Zurück zum Zitat Matsuda H (1958) Zur Theorie der Wechselspannungs-Polarographie. Z Elektrochem 62:977–989 Matsuda H (1958) Zur Theorie der Wechselspannungs-Polarographie. Z Elektrochem 62:977–989
15.
Zurück zum Zitat Matsuda H (1967) A contribution to the theory of polarographic diffusion currents influenced by the adsorption of surface-active substances. Rev Polarogr 14:87–92 Matsuda H (1967) A contribution to the theory of polarographic diffusion currents influenced by the adsorption of surface-active substances. Rev Polarogr 14:87–92
16.
Zurück zum Zitat Matsuda H (1980) A contribution to the theory of pulse polarography. I. Theory of current–potential curves. Bull Chem Soc Jpn 53:3439–3446CrossRef Matsuda H (1980) A contribution to the theory of pulse polarography. I. Theory of current–potential curves. Bull Chem Soc Jpn 53:3439–3446CrossRef
17.
Zurück zum Zitat Matsuda H, Ayabe Y (1955) Theoretical analysis of polarographic waves. I. Reduction of simple metal ions. Bull Chem Soc Jpn 28:422–429CrossRef Matsuda H, Ayabe Y (1955) Theoretical analysis of polarographic waves. I. Reduction of simple metal ions. Bull Chem Soc Jpn 28:422–429CrossRef
18.
Zurück zum Zitat Matsuda H, Ayabe Y (1956) Theoretical analysis of polarographic waves. II. Reduction of complex metal ions. Bull Chem Soc Jpn 29:134–140CrossRef Matsuda H, Ayabe Y (1956) Theoretical analysis of polarographic waves. II. Reduction of complex metal ions. Bull Chem Soc Jpn 29:134–140CrossRef
19.
Zurück zum Zitat Matsuda H, Yamada Y, Kanamori K, Kudo Y, Takeda Y (1991) On the facilitation effect of neutral macrocyclic ligands on the ion transfer across the interface between aqueous and organic solutions. I. Theoretical equation of ion-transfer-polarographic current–potential curves and its experimental verification. Bull Chem Soc Jpn 64:1497–1508CrossRef Matsuda H, Yamada Y, Kanamori K, Kudo Y, Takeda Y (1991) On the facilitation effect of neutral macrocyclic ligands on the ion transfer across the interface between aqueous and organic solutions. I. Theoretical equation of ion-transfer-polarographic current–potential curves and its experimental verification. Bull Chem Soc Jpn 64:1497–1508CrossRef
20.
Zurück zum Zitat Niki K, Kobayashi Y, Matsuda H (1984) Determination of macroscopic standard potentials of a molecule with a reversible n-consecutive one-electron transfer process. Application to a tetra-heme protein: cytochrome c3. J Electroanal Chem 178:333–341CrossRef Niki K, Kobayashi Y, Matsuda H (1984) Determination of macroscopic standard potentials of a molecule with a reversible n-consecutive one-electron transfer process. Application to a tetra-heme protein: cytochrome c3. J Electroanal Chem 178:333–341CrossRef
21.
Zurück zum Zitat Nişancioğlu K, Newman J (1974) Transient convective diffusion to a disk electrode. J Electroanal Chem 50:23–29CrossRef Nişancioğlu K, Newman J (1974) Transient convective diffusion to a disk electrode. J Electroanal Chem 50:23–29CrossRef
22.
Zurück zum Zitat Oldham KB (1969) A unified treatment of electrolysis at an expanding mercury electrode. Anal Chem 41:936–945CrossRef Oldham KB (1969) A unified treatment of electrolysis at an expanding mercury electrode. Anal Chem 41:936–945CrossRef
23.
Zurück zum Zitat Oldham KB (1991) Interrelation of current and concentration at electrodes. J Appl Electrochem 21:1068–1072CrossRef Oldham KB (1991) Interrelation of current and concentration at electrodes. J Appl Electrochem 21:1068–1072CrossRef
24.
Zurück zum Zitat Singh T, Dutt J (1985) Cyclic voltammetry at the tubular graphite electrode. Reversible process (theory). J Electroanal Chem 190:65–73CrossRef Singh T, Dutt J (1985) Cyclic voltammetry at the tubular graphite electrode. Reversible process (theory). J Electroanal Chem 190:65–73CrossRef
25.
Zurück zum Zitat Singh T, Dutt J (1985) Linear sweep voltammetry at the tubular graphite electrode. Part II. Totally irreversible process. J Electroanal Chem 196:35–42 Singh T, Dutt J (1985) Linear sweep voltammetry at the tubular graphite electrode. Part II. Totally irreversible process. J Electroanal Chem 196:35–42
26.
Zurück zum Zitat Singh T, Dutt J, Kumari B, Dewan RK (1987) Cyclic voltammetry at the tubular electrode. Part II. Quasi-reversible and totally irreversible processes. J Electroanal Chem 238:33–41 Singh T, Dutt J, Kumari B, Dewan RK (1987) Cyclic voltammetry at the tubular electrode. Part II. Quasi-reversible and totally irreversible processes. J Electroanal Chem 238:33–41
27.
Zurück zum Zitat Smutek M (1955) Kinetics of electrode processes. XIII. A contribution to the theory of slow electrode processes. Collect Cecoslov Chem Commun 20:247–251CrossRef Smutek M (1955) Kinetics of electrode processes. XIII. A contribution to the theory of slow electrode processes. Collect Cecoslov Chem Commun 20:247–251CrossRef
28.
Zurück zum Zitat Valdes JL, Cheh HY (1984) The application of convolution potential sweep voltammetry at a rotating disc electrode to simple electron transfer kinetics. J Electroanal Chem 181:65–81CrossRef Valdes JL, Cheh HY (1984) The application of convolution potential sweep voltammetry at a rotating disc electrode to simple electron transfer kinetics. J Electroanal Chem 181:65–81CrossRef
29.
Zurück zum Zitat Viswanathan K, Cheh HY (1979) The application of pulsed potential and pulsed current to a rotating disc electrode system. J Appl Electrochem 9:537–543CrossRef Viswanathan K, Cheh HY (1979) The application of pulsed potential and pulsed current to a rotating disc electrode system. J Appl Electrochem 9:537–543CrossRef
Metadaten
Titel
Models Involving One-Dimensional Convection-Diffusion
verfasst von
Lesław K. Bieniasz
Copyright-Jahr
2015
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-662-44882-3_6

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