Simplified charge separation energetics in a two-dimensional model for polymer-based photovoltaic cells

Kristian O. Sylvester-Hvid, Mark A Ratner

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

An extension of our two-dimensional working model for photovoltaic behavior in binary polymer and/or molecular photoactive blends is presented. The objective is to provide a more-realistic description of the charge generation and charge separation processes in the blend system. This is achieved by assigning an energy to each of the possible occupation states, describing the system according to a simple energy model for exciton and geminate electron-hole pair configurations. The energy model takes as primary input the ionization potential, electron affinity and optical gap of the components of the blend. The underlying photovoltaic model considers a nanoscopic subvolume of a photoactive blend and represents its p- and n-type domain morphology, in terms of a two-dimensional network of donor and acceptor sites. The nearest-neighbor hopping of charge carriers in the illuminated system is described in terms of transitions between different occupation states. The equations governing the dynamics of these states are cast into a linear master equation, which can be solved for arbitrary two-dimensional donor-acceptor networks, assuming stationary conditions. The implications of incorporating the energy model into the photovoltaic model are illustrated by simulations of the short circuit current versus thickness of the photoactive blend layer for different choices of energy parameters and donor-acceptor topology. The results suggest the existence of an optimal thickness of the photoactive film in bulk heterojunctions, based on kinetic considerations alone, and that this optimal thickness is very sensitive to the choice of energy parameters. The results also indicate space-charge limiting effects for interpenetrating donor-acceptor networks with characteristic domain sizes in the nanometer range and high driving force for the photoinduced electron transfer across the donor-acceptor internal interface.

Original languageEnglish
Pages (from-to)200-208
Number of pages9
JournalJournal of Physical Chemistry B
Volume109
Issue number1
DOIs
Publication statusPublished - Jan 13 2005

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Photovoltaic cells
photovoltaic cells
polarization (charge separation)
two dimensional models
Polymers
polymers
occupation
energy
Electron affinity
Electrons
Ionization potential
linear equations
short circuit currents
electron affinity
Linear equations
Charge carriers
Electric space charge
Excitons
ionization potentials
Short circuit currents

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

Cite this

Simplified charge separation energetics in a two-dimensional model for polymer-based photovoltaic cells. / Sylvester-Hvid, Kristian O.; Ratner, Mark A.

In: Journal of Physical Chemistry B, Vol. 109, No. 1, 13.01.2005, p. 200-208.

Research output: Contribution to journalArticle

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