Current density versus potential characteristics of dye-sensitized nanostructured semiconductor photoelectrodes. 1. Analytical expressions

Jae Joon Lee, George M. Coia, Nathan S Lewis

Research output: Contribution to journalArticle

52 Citations (Scopus)

Abstract

A closed-form analytical model is developed to describe the steady-state current density-potential (J-E) characteristics of dye-sensitized nanostructured semiconductor photoelectrodes. The basic components of the model are a set of differential equations that describe the generation, recombination, and transport of charge carriers in mesoporous semiconductor electrode systems. Charge-carrier transport is treated as a diffusion process, and semiclassical Marcus theory is used to describe the kinetics at the interfaces between the semiconductor and the contacting phase as well as the kinetics at the interfaces with adsorbed dye. The model relates explicitly, within a single formalism, the rate constants for charge transfer of the mesoporous membrane electrode system to conventional intramolecular and intermolecular electron-transfer rate constant expressions and to interfacial electron-transfer processes at planar metal or semiconductor electrodes. The near-equilibrium situation is considered by including the reverse electron-transfer pathways for each rate process of interest. The underlying physical and chemical factors that form the basis of the model are completely parameterized to facilitate input into a numerical simulation algorithm, thereby allowing facile generation of simulated J-E curves for a wide range of experimental conditions.

Original languageEnglish
Pages (from-to)5269-5281
Number of pages13
JournalJournal of Physical Chemistry B
Volume108
Issue number17
Publication statusPublished - Apr 29 2004

Fingerprint

Coloring Agents
Current density
Dyes
dyes
Semiconductor materials
current density
electron transfer
Charge carriers
Electrodes
electrodes
Electrons
charge carriers
Rate constants
physical factors
Kinetics
Carrier transport
kinetics
form factors
Charge transfer
Analytical models

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

Cite this

Current density versus potential characteristics of dye-sensitized nanostructured semiconductor photoelectrodes. 1. Analytical expressions. / Lee, Jae Joon; Coia, George M.; Lewis, Nathan S.

In: Journal of Physical Chemistry B, Vol. 108, No. 17, 29.04.2004, p. 5269-5281.

Research output: Contribution to journalArticle

@article{2550de6919f04bee90ad4784c9506904,
title = "Current density versus potential characteristics of dye-sensitized nanostructured semiconductor photoelectrodes. 1. Analytical expressions",
abstract = "A closed-form analytical model is developed to describe the steady-state current density-potential (J-E) characteristics of dye-sensitized nanostructured semiconductor photoelectrodes. The basic components of the model are a set of differential equations that describe the generation, recombination, and transport of charge carriers in mesoporous semiconductor electrode systems. Charge-carrier transport is treated as a diffusion process, and semiclassical Marcus theory is used to describe the kinetics at the interfaces between the semiconductor and the contacting phase as well as the kinetics at the interfaces with adsorbed dye. The model relates explicitly, within a single formalism, the rate constants for charge transfer of the mesoporous membrane electrode system to conventional intramolecular and intermolecular electron-transfer rate constant expressions and to interfacial electron-transfer processes at planar metal or semiconductor electrodes. The near-equilibrium situation is considered by including the reverse electron-transfer pathways for each rate process of interest. The underlying physical and chemical factors that form the basis of the model are completely parameterized to facilitate input into a numerical simulation algorithm, thereby allowing facile generation of simulated J-E curves for a wide range of experimental conditions.",
author = "Lee, {Jae Joon} and Coia, {George M.} and Lewis, {Nathan S}",
year = "2004",
month = "4",
day = "29",
language = "English",
volume = "108",
pages = "5269--5281",
journal = "Journal of Physical Chemistry B",
issn = "1520-6106",
publisher = "American Chemical Society",
number = "17",

}

TY - JOUR

T1 - Current density versus potential characteristics of dye-sensitized nanostructured semiconductor photoelectrodes. 1. Analytical expressions

AU - Lee, Jae Joon

AU - Coia, George M.

AU - Lewis, Nathan S

PY - 2004/4/29

Y1 - 2004/4/29

N2 - A closed-form analytical model is developed to describe the steady-state current density-potential (J-E) characteristics of dye-sensitized nanostructured semiconductor photoelectrodes. The basic components of the model are a set of differential equations that describe the generation, recombination, and transport of charge carriers in mesoporous semiconductor electrode systems. Charge-carrier transport is treated as a diffusion process, and semiclassical Marcus theory is used to describe the kinetics at the interfaces between the semiconductor and the contacting phase as well as the kinetics at the interfaces with adsorbed dye. The model relates explicitly, within a single formalism, the rate constants for charge transfer of the mesoporous membrane electrode system to conventional intramolecular and intermolecular electron-transfer rate constant expressions and to interfacial electron-transfer processes at planar metal or semiconductor electrodes. The near-equilibrium situation is considered by including the reverse electron-transfer pathways for each rate process of interest. The underlying physical and chemical factors that form the basis of the model are completely parameterized to facilitate input into a numerical simulation algorithm, thereby allowing facile generation of simulated J-E curves for a wide range of experimental conditions.

AB - A closed-form analytical model is developed to describe the steady-state current density-potential (J-E) characteristics of dye-sensitized nanostructured semiconductor photoelectrodes. The basic components of the model are a set of differential equations that describe the generation, recombination, and transport of charge carriers in mesoporous semiconductor electrode systems. Charge-carrier transport is treated as a diffusion process, and semiclassical Marcus theory is used to describe the kinetics at the interfaces between the semiconductor and the contacting phase as well as the kinetics at the interfaces with adsorbed dye. The model relates explicitly, within a single formalism, the rate constants for charge transfer of the mesoporous membrane electrode system to conventional intramolecular and intermolecular electron-transfer rate constant expressions and to interfacial electron-transfer processes at planar metal or semiconductor electrodes. The near-equilibrium situation is considered by including the reverse electron-transfer pathways for each rate process of interest. The underlying physical and chemical factors that form the basis of the model are completely parameterized to facilitate input into a numerical simulation algorithm, thereby allowing facile generation of simulated J-E curves for a wide range of experimental conditions.

UR - http://www.scopus.com/inward/record.url?scp=2442487045&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=2442487045&partnerID=8YFLogxK

M3 - Article

VL - 108

SP - 5269

EP - 5281

JO - Journal of Physical Chemistry B

JF - Journal of Physical Chemistry B

SN - 1520-6106

IS - 17

ER -