Charge-transfer state energy determines open-circuit voltage in organic photovoltaics

Analyzing model platforms based on tetracene and rubrene reveals how charge-transfer state energy and electronic coupling determine the open-circuit voltage in organic photovoltaics.
16 September 2013
Kenneth Graham, Aram Amassian, Ruipeng Lee, Guy Olivier Ngongang Ndjawa, Patrick Erwin, Mark Thompson, Dennis Nordlund, Koen Vandewal, Eric Hoke, Alberto Salleo and Michael McGehee

Organic photovoltaics (OPVs) are a promising alternative to inorganic photovoltaics because they are made out of cheaper and non-toxic materials combined with low-energy and low-cost processing techniques. However, large energy losses between the optical gaps of the absorbing materials and the open-circuit voltage (VOC) limit how efficiently these OPVs convert solar energy into electricity.

Materials used in OPVs commonly have optical gaps of between 1.7 and 2.1eV. However, the VOC seldom exceeds 1.0eV. This difference between the optical gap and qVOC, the potential energy at open-circuit voltage, represents a loss of almost half the photon's original energy. In contrast, inorganic photovoltaic cells, Purchase Polymer Photovoltaics: A Practical Approachsuch as polycrystalline silicon, gallium arsenide, and copper indium gallium selenide, show a difference of only 0.3–0.45eV between the material bandgap and qVOC. For OPVs to reach higher power conversion efficiencies (PCEs), these energy losses must be decreased and the VOC increased. This requires a better understanding of the origin of VOC and energy-loss mechanisms.

The VOC is the point at which the recombination current is equal to the photocurrent. It can be given by the equation Jrec = qkrecLnp, where krec is the recombination rate constant, L is the thickness of the recombination layer, and np is the product of electrons and holes (charges) in the device. The np product depends exponentially on the energy gap and applied or photogenerated voltage. Increases in the energy gap decrease np and the recombination current. The dependence of Jrec  on np results in a linear change in VOC with the effective energy gap. A decrease in krec also lowers the recombination current. krec is determined by either the rate at which free charges meet in the device, or recombine once they form a charge pair. If the recombination rate of the charge pair is the rate-limiting step, then anything that reduces this rate increases the VOC. On the basis of the Marcus theory of electron transfer, one way to decrease the charge-pair recombination rate is to decrease electronic coupling between electron donor and acceptor materials.

Figure 1. Chemical structures of the donor materials used in the organic photovoltaic devices reported in this article, tetracene and rubrene.

Reduced electronic coupling has previously been considered an explanation for increases in the VOC. Using the charge-transfer state contribution to the external quantum efficiency allows for a deeper look at electronic coupling between donor and acceptor in the model systems of tetracene/C60 and rubrene/C60 bilayer OPVs. Owing to their energetic and structural similarities (see Figure 1), along with a previously reported large VOC difference of 0.37V, these material systems provide an ideal platform to study the effects of sterics and electronic coupling on VOC.

Analysis of these systems reveals that VOC differences correspond directly with those of charge-transfer state energy (ECT), with little or no influence from electronic coupling.1 This result is consistent with trends where the qVOC correlates linearly with ECT (see Figure 2). Moreover, electronic coupling differences can be attributed to the edge-on and face-on orientations adopted by tetracene and rubrene, respectively. This is based on near-edge x-ray absorbance fine-structure spectroscopy and grazing incidence x-ray-scattering measurements to probe molecular orientation.

Figure 2. Plot of previously recorded qVOC vs. ECTvalues for organic photovoltaic devices (OPVs), as well as rubrene/C60and tetracene/C60 bilayer OPV devices analyzed in this work. Values taken from Vandewal et al.,2–4Piersimoni et al.,5 Ko et al.,6Hoke et al.,7 and Graham et al.1qVOC: Potential energy at open-circuit voltage. ECT: Charge-transfer state energy.

With the VOC determined largely by ECT, this energy must be increased to increase the VOC. We probed the highest occupied molecular orbital levels and ECT of both crystalline and amorphous systems to find out what determines ECT. Results show that ECT is influenced by the difference between the highest occupied and lowest unoccupied molecular orbital levels, as well as other factors, including the extent of crystallinity, donor-acceptor orientation, and interfacial dipoles.

In summary, our work shows that the VOC is largely determined by ECT, and that ECT must be increased to strengthen the VOC. This highlights the importance of understanding the factors that affect ECT and also suggests that an increased understanding of the VOC is necessary to further minimize voltage losses and increase OPV performance.

In the future, we will continue to work on ways to improve the efficiency of organic solar cells by investigating new ways to maximize the VOC of devices, such as by looking at systems with different degrees of crystallinity and molecular conformation at the donor-acceptor interface.

Kenneth Graham
King Abdullah University of Science and Technology (KAUST)
Thuwal, Saudi Arabia
Stanford University
Stanford, CA
Aram Amassian, Ruipeng Lee, Guy Olivier Ngongang Ndjawa
Thuwal, Saudi Arabia

Aram Amassian is a professor at KAUST working in the fields of solution processing, OPVs, and organic field-effect transistors.

Patrick Erwin, Mark Thompson
University of Southern California
Los Angeles, CA
Dennis Nordlund
Stanford Synchroton Radiation Light Source
Menlo Park, CA
Koen Vandewal, Eric Hoke, Alberto Salleo, Michael McGehee
Stanford University
Stanford, CA

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6. S. Ko, E. T. Hoke, L. Pandey, S. Hong, R. Mondal, C. Risko, Y. Yi, Controlled conjugated backbone twisting for an increased open-circuit voltage while having short-circuit current in poly(hexylthiophene) derivatives, J. Am. Chem. Soc. 134(11), p. 5222-5232, 2012.
7. E. T. Hoke, K. Vandewal, J. A. Bartelt, W. R. Mateker, J. D. Douglas, R. Noriega, K. R. Graham, J. M. J. Fréchet, A. Salleo, M. D. McGehee, Recombination in polymer: fullerene solar cells with open-circuit voltages approaching and exceeding 1.0V, Adv. Energy Mater. 3(2), p. 364-374, 2013.
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