The major objective of this research program is to determine the operational characteristics key to efficient, low-cost, stable liquid-junction and solid-state solar cells based on sensitized nanoporous films (in collaboration with DOE's Office of Science Program). Toward this end, we are conducting experimental and theoretical studies to understand the unique physical and chemical factors governing cell performance. Current scientific issues addressed include the influence of film morphology, sensitizer, and electrolyte on the electron transport and recombination dynamics and on the light-harvesting, charge-injection, and charge-collection efficiencies. Recently, we investigated the relationship between (1) transport and recombination, (2) morphological factors of core-shell nanoparticle films and their PV properties, and (3) electron-electron interactions and their effect on the transport dynamics. In this paper, we discuss the connection between transport and recombination and its effect on cell performance

Benkstein, K. D.

Frank, A. J.

Kopidakis, N.

Neale, N. R.

van de Lagemaat, J.

UNT Digital Library

 National Renewable Energy Laboratory Innovation for Our Energy Future A national laboratory of the U.S. Department of EnergyOffice of Energy Efficiency & Renewable EnergyNREL is operated by Midwest Research Institute ● Battelle     Contract No. DE-AC36-99-GO10337 Conference Paper NREL/CP-590-37054 January 2005 Dye- and Semiconductor-Sensitized Nanoparticle Solar Cell Research at NREL A.J. Frank, N. Kopidakis, K.D. Benkstein,  J. van de Lagemaat, and N.R. Neale Presented at the 2004 DOE Solar Energy Technologies  Program Review Meeting October 25-28, 2004 Denver, Colorado NOTICE The submitted manuscript has been offered by an employee of the Midwest Research Institute (MRI), a contractor of the US Government under Contract No. DE-AC36-99GO10337. Accordingly, the US Government and MRI retain a nonexclusive royalty-free license to publish or reproduce the published form of this contribution, or allow others to do so, for US Government purposes. 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Available electronically at http://www.osti.gov/bridgeAvailable for a processing fee to U.S. Department of Energy and its contractors, in paper, from: U.S. Department of Energy Office of Scientific and Technical Information P.O. Box 62 Oak Ridge, TN 37831-0062 phone:  865.576.8401 fax: 865.576.5728 email:  mailto:reports@adonis.osti.govAvailable for sale to the public, in paper, from: U.S. Department of Commerce National Technical Information Service 5285 Port Royal Road Springfield, VA 22161 phone:  800.553.6847 fax:  703.605.6900 email: orders@ntis.fedworld.gov online ordering:  http://www.ntis.gov/ordering.htmPrinted on paper containing at least 50% wastepaper, including 20% postconsumer waste Dye- and Semiconductor-Sensitized Nanoparticle Solar Cell Research at NREL  A.J. Frank, N. Kopidakis, K. D. Benkstein, J. van de Lagemaat, and N. R. Neale National Renewable Energy Laboratory 1617 Cole Boulevard, Golden, Colorado 80401-3393 arthur_frank@nrel.gov  ABSTRACT   The major objective of this research program is to determine the operational characteristics key to efficient, low-cost, stable liquid-junction and solid-state solar cells based on sensitized nanoporous films (in collaboration with DOE’s Office of Science Program). Toward this end, we are conducting experimental and theoretical studies to understand the unique physical and chemical factors governing cell performance. Current scientific issues addressed include the influence of film morphology, sensitizer, and electrolyte on the electron transport and recombination dynamics and on the light-harvesting, charge-injection, and charge-collection efficiencies. Recently, we investigated the relationship between (1) transport and recombination, (2) morphological factors of core-shell nanoparticle films and their PV properties, and (3) electron-electron interactions and their effect on the transport dynamics [1-3]. In this paper, we discuss the connection between transport and recombination and its effect on cell performance [1].   1. Objectives The purpose of this study [1] is to examine the validity of the current model for recombination in dye-sensitized solar cells [4]. In the conventional dye-sensitized cell, recombination is generally accounted for in terms of the following mechanism [4,5]: -2-3 I+II1K‹fi (1) I2 + e- k2fi I2•- (2) 2I2•- fi I3- + I-  (3)  Triiodide in solution is assumed to be in equilibrium with molecular iodine on the TiO2 surface (reaction 1), which reacts with photoinjected electrons (reaction 2). In a proposed rate-determining step, the resulting iodine radical anion ( -2I• ) reacts with a second radical anion (reaction 3). There is no experimental evidence that confirms reaction 3 is rate determining. As an alternative mechanism, we have investigated whether electron transport to molecular iodine (reaction 2) is rate limiting [1].   Understanding the fundamental phenomena governing cell performance is critical for underpinning the development of this new solar cell technology. Of programmatic importance is that sensitized nanoparticle solar cells represent the distinct technological promise for achieving mass-produced, ultra-low-cost solar panels with good efficiency.   2. Technical Approach  Photocurrent and photovoltage transient studies, together with modeling, were used to determine whether electron transport limits recombination in dye-sensitized nanoparticle TiO2 solar cells under their normal operating conditions [1]. To vary the rate of transport, TiO2 films were electrochemically doped with Li+ to produce traps. Photocurrent transient studies were used to investigate whether Li+ doping slows transport and induces trap formation. A causal link between electron diffusion and recombination was studied by photocurrent and photovoltage transient techniques. A kinetic model was developed to account for experimental results. The effect of Li+ doping on cell performance was also studied.  3. Results and Accomplishments  Spectroelectrochemical and transient measurements established that when Li+ is present in the electrolyte, Li+ intercalates irreversibly into TiO2 films at open circuit (ca. 0.7 V) under normal solar light intensities [1]. Photocurrent transients of doped TiO2 films indicate that Li+ doping decreases the electron diffusion coefficient in the nanoparticle network. The electron diffusion time Cτ  displays a power-law dependence on the short-circuit photocurrent density JSC, as is commonly observed. With increased Li+ doping, the slopes of the plots increase. The power-law dependence is generally attributed to trap filling involving an exponential distribution of localized states adjacent to the conduction band [6,7] and movement of the quasi-Fermi level in response to changes in light intensity. With higher light intensity, the residence time of electrons in traps in the vicinity of the quasi-Fermi level decreases, resulting in faster transport. This model predicts that 1C-µ ατ SCJ , where mc = kT /α , mc is the width of the trap-state distribution [1,6,7], T is the temperature, and k is the Boltzmann constant. Thus, the observed large increase of the slopes (mc increasing from 60-400 meV) with higher Li+ doping levels is ascribed to the widening of the exponential conduction band-tail resulting from disorder induced by randomly placed Li+ defects in TiO2.   Figure 1 shows the dependence of the time constants for electron diffusion and recombination τR on JSC for sensitized cells with nondoped and doped films. With increased doping of TiO2 films, both electron diffusion and recombination times increase proportionately, indicating a causal link and suggesting that transport limits recombination in fully functional dye-sensitized solar cells, contrary to the assumption that reaction 3 is rate limiting.  A transport-limited recombination mechanism accounts for a number of observations. Assuming that the rate-limiting step involves the diffusion of electrons to surface-adsorbed molecular iodine (reaction 2) produced in the 1chemical decomposition of I3− (reaction 1), the rate of recombination R is given by the expression R = K1k2N [I3- ] [I - ], where [I3- ] and [ I -]  are the concentrations of the redox couple and N is the electron density in the film. For reaction 2 to be rate limiting, k2 must be proportional to the electron diffusion coefficient D, which is inversely proportional to the diffusion time τC. The recombination lifetime τR, defined by the pseudo-first-order kinetics equation R=N/τR, can be written with the aid of the rate of recombination expression as τ R = N R µ1/ k2 µ1/ D µτ C. This expression describes the connection between the recombination lifetime and the electron diffusion time. It can be shown that the diffusion-limited recombination model preserves the nonlinear dependence of the recombination rate on electron density N [4] via the dependence of the diffusion time on N [6,7].   Fig. 1. Characteristic times for collection (tC – left panel) and recombination (tR – right panel) for dye-sensitized solar cells with nondoped (circles) and doped (squares and triangles) TiO2 films. The tr iangles represent the most heavily doped film. The lines are power-law fits to the data.   The photovoltaic properties of the cell are largely unaffected by Li+ doping because doping leaves the ratio τC/τR, and therefore the charge-collection efficiency [8], almost unchanged. The latter determines JSC. The rate of recombination at one-sun light intensity is expected to change very little because the diffusion time, and accordingly, the rate constant k2, displays only minor changes with doping at high light intensities (Fig. 1). Therefore, the open-circuit voltage of the cell [4] at one-sun light intensity is predicted to remain almost constant with doping. These predictions were verified experimentally [1].  4. Conclusions  The relationship between the loss mechanism and transport was investigated by photocurrent and photovoltage transient measurements and modeling. The results show that when TiO2 films are electrochemically doped with Li+, both electron diffusion and recombination times increase proportionately, indicating a causal link. The transient measurements along with kinetic analyses provide first evidence that electron diffusion limits recombination in the conventional dye-sensitized solar cells under their normal operating conditions and show that the rate of recombination is first order in iodine concentration. Measurements also show that when Li+ ions, which are commonly used in electrolytes for dye-sensitized solar cells, are present, they intercalate irreversibly into sensitized TiO2 films under normal solar light intensities. Investigation of the dependence of the electron diffusion coefficient on the photoelectron density in the films at different Li+ doping levels suggests that doping creates random defects causing disorder in the films, which widens the exponential conduction band-tail states. Although Li+ doping is shown to occur during normal cell operation, its effect on the photovoltaic characteristics is found to be insignificant. These results suggest, contrary to conventional thought, that increasing the electron-transport rate will not significantly improve the solar cell performance.  Future work will investigate the effect of various electrolyte components and other factors (e.g., film morphology) on cell performance. Additional studies are planned to understand the transport mechanism, to gain further insight into possible approaches to improve cell efficiency. Also, the viability of quantum-scaled semiconductors as photosensitizers will be studied.   REFERENCES [1] N. Kopidakis, K.D. Benkstein, J. van de Lagemaat, and A.J. Frank, “Transport-limited recombination of photocarriers in dye-sensitized nanocrystalline TiO2 solar cells,” J. Phys. Chem. B 107, 11307 (2003). [2] N.G. Park, M.G. Kang, K.M. Kim, K.S. Ryu, S.H. Chang, D.-K. Kim, J. van de Lagemaat, K.D. Benkstein, and A.J. Frank, “Morphological and photoelectrochemical characterization of core-shell nanoparticle films for dye-sensitized solar cells: Zn-O type shell on SnO2 and TiO2 cores, ” Langmuir 20, 4246 (2004). [3] J. van de Lagemaat, N. Kopidakis, N.R. Neale, and A.J. Frank, “Effect of nonideal statistics on electron diffusion in sensitized nanocrystalline TiO2,” Phys. Rev. B, in press. [4] G. Schlichthörl, S.Y. Huang, J. Sprague, and A.J. Frank, “Band edge movement and recombination kinetics in dye-sensitized nanocrystalline tio2 solar cells: a study by intensity modulated photovoltage spectroscopy,” J. Phys. Chem. B 101, 8141 (1997). [5] A.J Frank, N. Kopidakis, and J. van de Lagemaat, “Electrons in nanostructured TiO2 solar cells: transport, recombination and photovoltaic properties,” Coord. Chem. Rev. 248, 1165 (2004). [6] J. van de Lagemaat and A.J. Frank, “Nonthermalized electron transport in dye-sensitized nanocrystalline TiO2 films: transient photocurrent and random-walk modeling studies,” J. Phys. Chem. B 105, 11194 (2001). [7] N. Kopidakis, E.A. Schiff, N.-G. Park, J. van de Lagemaat, and A.J. Frank, “Ambipolar diffusion of photocarriers in electrolyte-filled, nanoporous TiO2,” J. Phys. Chem. B 104, 3930 (2000). [8] G. Schlichthörl, N.-G. Park, and A.J. Frank, “Evaluation of the charge-collection efficiency of dye-sensitized nanocrystalline TiO2 solar cells,” J. Phys. Chem. B 103, 782 (1999).  2F1147-E(12/2004) REPORT DOCUMENTATION PAGE Form Approved OMB No. 0704-0188 The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing the burden, to Department of Defense, Executive Services and Communications Directorate (0704-0188). Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to any penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. PLEASE DO NOT RETURN YOUR FORM TO THE ABOVE ORGANIZATION. 1. REPORT DATE (DD-MM-YYYY) January 2005 2. REPORT TYPE Conference Paper 3. DATES COVERED (From - To)  5a. CONTRACT NUMBER DE-AC36-99-GO10337 5b. GRANT NUMBER  4. TITLE AND SUBTITLE Dye- and Semiconductor-Sensitized Nanoparticle Solar Cell Research at NREL 5c. PROGRAM ELEMENT NUMBER  5d. PROJECT NUMBER NREL/CP-590-37054 5e. TASK NUMBER ER460050 6. AUTHOR(S) A.J. Frank, N. Kopidakis, K.D. Benkstein, J. van de Lagemaat, and N.R. Neale 5f. WORK UNIT NUMBER  7. PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES) National Renewable Energy Laboratory 1617 Cole Blvd. Golden, CO 80401-3393 8. PERFORMING ORGANIZATION REPORT NUMBER NREL/CP-590-37054 10. SPONSOR/MONITOR'S ACRONYM(S) NREL 9. SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES)  11. SPONSORING/MONITORING AGENCY REPORT NUMBER  12. DISTRIBUTION AVAILABILITY STATEMENT National Technical Information Service U.S. Department of Commerce 5285 Port Royal Road Springfield, VA 22161 13. SUPPLEMENTARY NOTES  14. ABSTRACT (Maximum 200 Words) The major objective of this research program is to determine the operational characteristics key to efficient, low-cost, stable liquid-junction and solid-state solar cells based on sensitized nanoporous films (in collaboration with DOE’s Office of Science Program). Toward this end, we are conducting experimental and theoretical studies to understand the unique physical and chemical factors governing cell performance. Current scientific issues addressed include the influence of film morphology, sensitizer, and electrolyte on the electron transport and recombination dynamics and on the light-harvesting, charge-injection, and charge-collection efficiencies. Recently, we investigated the relationship between (1) transport and recombination, (2) morphological factors of core-shell nanoparticle films and their PV properties, and (3) electron-electron interactions and their effect on the transport dynamics. In this paper, we discuss the connection between transport and recombination and its effect on cell performance. 15. SUBJECT TERMS PV; dye-sensitize; semiconductor-sensitized; solid-state solar cells; stable liquid-junction; nanoporous film; electron-electron interactions ; nanoparticle; quantum-scaled semiconductors; 16. SECURITY CLASSIFICATION OF: 19a. NAME OF RESPONSIBLE PERSON  a. REPORT Unclassified b. ABSTRACT Unclassified c. THIS PAGE Unclassified 17. LIMITATION OF ABSTRACTUL 18. NUMBER OF PAGES  19b. TELEPHONE NUMBER (Include area code)  Standard Form 298 (Rev. 8/98) Prescribed by ANSI Std. Z39.18 

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