Atomistic Approach To Simulate Processes Relevant for the
Efficiencies of Organic Solar Cells as a Function of Molecular
Properties. II. Kinetic Aspects
Charlotte Brü ckner,
†
Frank Wü rthner,
‡
Klaus Meerholz,
§
and Bernd Engels*
,†
†
Institut fü r Theoretische Chemie, Universitä t Wü rzburg, Emil-Fischer-Straße 42, 97074 Wü rzburg, Germany
‡
Institut fü r Organische Chemie, Universitä t Wü rzburg, Am Hubland, 97074 Wü rzburg, Germany
§
Department Chemie, Universitä t zu Kö ln, Luxemburgerstr. 116, 50939 Kö ln, Germany
* S Supporting Information
ABSTRACT: The individual steps of the light-to-energy
conversion process in the vicinity of the interfaces of organic
solar cells are investigated with kinetic Monte Carlo
simulations employing Marcus hopping rates obtained from
quantum-chemical calculations. A chemically diverse set of p-
type semiconducting molecules in heterojunction with full-
erene C
60
is used. Starting with exciton diffusion, exciton
dissociation, charge generation, and charge separation are
modeled on an atomistic level. Numerous aspects were already
analyzed, but comprehensive simulations including all three
processes in amorphous model interface systems and a
comparison of various different molecular p-type semi-
conductors seem to be missing. Our investigation identifies
several important kinetic effects that could limit device efficiencies, such as the strong reduction of charge transport rates in the
vicinity of the interface due to Coulomb interactions between the charges, the importance of adjusting the relative rates of
exciton transfer and dissociation, and the impact of morphology. Charge drift velocities and hole mobilities obtained from the
simulations compare well with experimental values indicating that the main effects are covered by the simulations. A correlation
between experimental short-circuit currents and simulated charge drift velocities suggests that slow charge-transfer processes
could represent a major efficiency-limiting parameter in organic solar cells.
I
n recent years, organic solar cells (OSCs) have attracted
much research interest, and promising device efficiencies
were observed, especially for the bulk heterojunction (BHJ) cell
architecture where p-type and n-type semiconducting layers are
intermixed.
1,2
Assuming the so-called “cold exciton breakup”,
3
the light-to-energy conversion in these OSCs can be described
as a five-step process.
4,5
By light absorption, an exciton is
created in one of the semiconducting layers (Step 1: light
absorption) and diffuses within the respective bulk phases (Step
2: exciton diffusion/transport). If it reaches the interface
between the p-type and the n-type semiconductor, it dissociates
into a charge-transfer state across the interface (Step 3:
photoinduced charge transfer). At first, depending on the exact
energies, the charge-transfer state can still be bound due to
significant Coulomb attraction between the geminately formed
electron and hole. Despite this Coulomb attraction, the
electron and the hole can overcome their mutual binding
energy so that they migrate independently through the
respective semiconducting layer (Step 4: hole/electron
separation and transport). This step can be further subdivided
into charge separation taking place near the interface and
charge transport occurring as soon as the mutual attraction has
diminished. Finally the charges are recollected at the electrodes
(Step 5: charge recollection).
6
Intense research in the field has brought about a plethora of
polymers
7
and small organic molecules
8,9
for OSCs, all with
advantages and drawbacks. In order to further optimize device
efficiencies, structure-property relationships would be ex-
tremely helpful to correlate molecular and aggregate proper-
ties
10
with the efficiencies of the individual steps of the light-to-
energy conversion process. Simulations of these processes are a
field of intense research so that a complete review of previous
investigations is beyond the scope of this work. Hence we can
only focus on some examples. Further information can be taken
from reviews on charge transport,
11
on exciton transport,
12
and
on the charge-transfer and recombination processes.
13
Exciton and charge transport in the disordered semi-
conducting layers are usually considered to be incoherent;
i.e., they are viewed as successive individual hopping processes
of excitons and charges between localized states.
14-16
The
Received: November 13, 2016
Revised: December 13, 2016
Published: December 19, 2016
Article
pubs.acs.org/JPCC
© XXXX American Chemical Society A DOI: 10.1021/acs.jpcc.6b11340
J. Phys. Chem. C XXXX, XXX, XXX-XXX