Thermodynamic Origin of Photoinstability in the CH3NH3Pb(I1–xBrx)3 Hybrid Halide Perovskite AlloyClick to copy article linkArticle link copied!
Abstract
The formation of solid-solutions of iodide, bromide, and chloride provides the means to control the structure, band gap, and stability of hybrid halide perovskite semiconductors for photovoltaic applications. We report a computational investigation of the CH3NH3PbI3/CH3NH3PbBr3 alloy from density functional theory with a thermodynamic analysis performed within the generalized quasi-chemical approximation. We construct the phase diagram and identify a large miscibility gap, with a critical temperature of 343 K. The observed photoinstability in some mixed-halide solar cells is explained by the thermodynamics of alloy formation, where an initially homogeneous solution is subject to spinodal decomposition with I and Br-rich phases, which is further complicated by a wide metastable region defined by the binodal line.
Figure 1
Figure 1. Energy of mixing (top) and entropy of mixing (bottom) as functions of the CH3NH3Pb(I1–xBrx)3 alloy composition. The symbols are the values calculated for each configuration (eq 1). The solid lines show the behavior for the alloy at 200 K (blue), 300 K (green) and for a completely random alloy in the high T limit (red) within the generalized quasi-chemical approximation. The dashed line represents the convex hull.
Figure 2
Figure 2. Stable ordered structures identified for MAPbIBr2 and MAPbI1/2Br5/2, which minimize internal strain arising from the size mismatch between I and Br. The atoms at the corners of the octahedra are the halides Br (orange) and I (pink). The most stable structures are layered with iodine at the apical positions.
Figure 3
Figure 3. Calculated Helmholtz free energy as a function of the alloy composition and temperature as calculated within the generalized quasi-chemical approximation.
Figure 4
Figure 4. Predicted phase diagram of the MAPb(I1–xBrx)3 alloy. The purple and pink lines are the binodal and spinodal lines, respectively. The dashed horizontal line shows the miscibility gap at room temperature. A thermodynamically stable solid-solution can be formed in the white region only.
Computational Methods
Acknowledgment
The simulations performed in this work benefited from membership of the UK’s HPC Materials Chemistry Consortium, which is funded by EPSRC grant EP/L000202. A.W. is funded by ERC Starting Grant No. 277757, F.B. is supported by EU-FP7 Grant No. 316494, and C.C. acknowledges support from the Brazilian Research Agency CNPq Grant No. 249280/2013-2 PDE.
References
This article references 40 other publications.
- 1Jeon, N. J.; Noh, J. H.; Kim, Y. C.; Yang, W. S.; Ryu, S.; Seok, S. I. Solvent Engineering for High-performance Inorganic-organic Hybrid Perovskite Solar Cells Nat. Mater. 2014, 13, 897 DOI: 10.1038/nmat4014Google Scholar1Solvent engineering for high-performance inorganic-organic hybrid perovskite solar cellsJeon, Nam Joong; Noh, Jun Hong; Kim, Young Chan; Yang, Woon Seok; Ryu, Seungchan; Seok, Sang IlNature Materials (2014), 13 (9), 897-903CODEN: NMAACR; ISSN:1476-1122. (Nature Publishing Group)Organolead trihalide perovskite materials have been successfully used as light absorbers in efficient photovoltaic cells. Two different cell structures, based on mesoscopic metal oxides and planar heterojunctions have already demonstrated very impressive advances in performance. Here, we report a bilayer architecture comprising the key features of mesoscopic and planar structures obtained by a fully soln.-based process. We used CH3NH3 Pb(I1 - xBrx)3 (x = 0.1-0.15) as the absorbing layer and poly(triarylamine) as a hole-transporting material. The use of a mixed solvent of γ-butyrolactone and dimethylsulfoxide (DMSO) followed by toluene drop-casting leads to extremely uniform and dense perovskite layers via a CH3NH3I-PbI2-DMSO intermediate phase, and enables the fabrication of remarkably improved solar cells with a certified power-conversion efficiency of 16.2% and no hysteresis. These results provide important progress towards the understanding of the role of soln.-processing in the realization of low-cost and highly efficient perovskite solar cells.
- 2Zhou, H.; Chen, Q.; Li, G.; Luo, S.; Song, T.-b.; Duan, H.-S.; Hong, Z.; You, J.; Liu, Y.; Yang, Y. Interface Engineering of Highly Efficient Perovskite Solar Cells Science 2014, 345, 542 DOI: 10.1126/science.1254050Google Scholar2Interface engineering of highly efficient perovskite solar cellsZhou, Huanping; Chen, Qi; Li, Gang; Luo, Song; Song, Tze-bing; Duan, Hsin-Sheng; Hong, Ziruo; You, Jingbi; Liu, Yongsheng; Yang, YangScience (Washington, DC, United States) (2014), 345 (6196), 542-546CODEN: SCIEAS; ISSN:0036-8075. (American Association for the Advancement of Science)Advancing perovskite solar cell technologies toward their theor. power conversion efficiency (PCE) requires delicate control over the carrier dynamics throughout the entire device. By controlling the formation of the perovskite layer and careful choices of other materials, the authors suppressed carrier recombination in the absorber, facilitated carrier injection into the carrier transport layers, and maintained good carrier extn. at the electrodes. When measured via reverse bias scan, cell PCE is typically boosted to 16.6% on av., with the highest efficiency of ~19.3% in a planar geometry without antireflective coating. The fabrication of the perovskite solar cells was conducted in air and from soln. at low temps., which should simplify manufg. of large-area perovskite devices that are inexpensive and perform at high levels.
- 3Ahn, N.; Son, D.-Y.; Jang, I.-H.; Kang, S. M.; Choi, M.; Park, N.-G. Highly Reproducible Perovskite Solar Cells with Average Efficiency of 18.3% and Best Efficiency of 19.7% Fabricated via Lewis Base Adduct of Lead(II) Iodide J. Am. Chem. Soc. 2015, 137, 8696 DOI: 10.1021/jacs.5b04930Google Scholar3Highly Reproducible Perovskite Solar Cells with Average Efficiency of 18.3% and Best Efficiency of 19.7% Fabricated via Lewis Base Adduct of Lead(II) IodideAhn, Namyoung; Son, Dae-Yong; Jang, In-Hyuk; Kang, Seong Min; Choi, Mansoo; Park, Nam-GyuJournal of the American Chemical Society (2015), 137 (27), 8696-8699CODEN: JACSAT; ISSN:0002-7863. (American Chemical Society)High efficiency perovskite solar cells were fabricated reproducibly via Lewis base adduct of Pb(II) iodide. PbI2 was dissolved in N,N-dimethyformamide with equimolar N,N-DMSO and CH3NH3I. Stretching vibration of S=O appeared at 1045 cm-1 for bare DMSO, which was shifted to 1020 and 1015 cm-1 upon reacting DMSO with PbI2 and PbI2 + CH3NH3I, resp., indicative of forming the adduct of PbI2·DMSO and CH3NH3I·PbI2·DMSO due to interaction between Lewis base DMSO and/or iodide (I-) and Lewis acid PbI2. Spin-coating of a DMF soln. contg. PbI2, CH3NH3I, and DMSO (1:1:1 mol %) formed a transparent adduct film, which was converted to a dark brown film upon heating at low temp. of 65° for 1 min due to removal of the volatile DMSO from the adduct. The adduct-induced CH3NH3PbI3 exhibited high charge extn. characteristics with hole mobility ≤3.9 × 10-3 cm2/(V s) and slow recombination rate. Av. power conversion efficiency (PCE) of 18.3% was achieved from 41 cells and the best PCE of 19.7% was attained via adduct approach.
- 4Jeon, N. J.; Noh, J. H.; Yang, W. S.; Kim, Y. C.; Ryu, S.; Seo, J.; Seok, S. I. Compositional Engineering of Perovskite Materials for High-performance Solar Cells Nature 2015, 517, 476 DOI: 10.1038/nature14133Google Scholar4Compositional engineering of perovskite materials for high-performance solar cellsJeon, Nam Joong; Noh, Jun Hong; Yang, Woon Seok; Kim, Young Chan; Ryu, Seungchan; Seo, Jangwon; Seok, Sang IlNature (London, United Kingdom) (2015), 517 (7535), 476-480CODEN: NATUAS; ISSN:0028-0836. (Nature Publishing Group)Here we combine the promising, owing to its comparatively narrow bandgap, but relatively unstable formamidinium lead iodide (FAPbI3) with methylammonium lead bromide (MAPbBr3) as the light-harvesting unit in a bilayer solar cell architecture. We investigated phase stability, morphol. of the perovskite layer, hysteresis in current-voltage characteristics, and overall performance as a function of chem. compn. Our results show that incorporation of MAPbBr3 into FAPbI3 stabilizes the perovskite phase of FAPbI3 and improves the power conversion efficiency of the solar cell to >18% under a std. illumination of 100 mW/cm2. These findings further emphasize the versatility and performance potential of inorg.-org. lead halide perovskite materials for photovoltaic applications.
- 5Hao, F.; Stoumpos, C. C.; Chang, R. P. H.; Kanatzidis, M. G. Anomalous Band Gap Behavior in Mixed Sn and Pb Perovskites Enables Broadening of Absorption Spectrum in Solar Cells J. Am. Chem. Soc. 2014, 136, 8094 DOI: 10.1021/ja5033259Google Scholar5Anomalous Band Gap Behavior in Mixed Sn and Pb Perovskites Enables Broadening of Absorption Spectrum in Solar CellsHao, Feng; Stoumpos, Constantinos C.; Chang, Robert P. H.; Kanatzidis, Mercouri G.Journal of the American Chemical Society (2014), 136 (22), 8094-8099CODEN: JACSAT; ISSN:0002-7863. (American Chemical Society)Perovskite-based solar cells have recently been catapulted to the cutting edge of thin-film photovoltaic research and development because of their promise for high-power conversion efficiencies and ease of fabrication. Two types of generic perovskites compds. have been used in cell fabrication: either Pb- or Sn-based. Here, we describe the performance of perovskite solar cells based on alloyed perovskite solid solns. of methylammonium tin iodide and its lead analog (CH3NH3Sn1-xPbxI3). We exploit the fact that, the energy band gaps of the mixed Pb/Sn compds. do not follow a linear trend (the Vegard's law) in between these two extremes of 1.55 and 1.35 eV, resp., but have narrower band-gap (<1.3 eV), thus extending the light absorption into the near-IR (∼1,050 nm). A series of soln.-processed solid-state photovoltaic devices using a mixt. of org. spiro-OMeTAD/lithium bis(trifluoromethylsulfonyl)imide/pyridinium additives as hole transport layer were fabricated and studied as a function of Sn to Pb ratio. Our results show that CH3NH3Sn0.5Pb0.5I3 has the broadest light absorption and highest short-circuit photocurrent d. ∼20 mA/cm2 (obtained under simulated full sunlight of 100 mW/cm2).
- 6Noh, J. H.; Im, S. H.; Heo, J. H.; Mandal, T. N.; Seok, S. I. Chemical Management for Colorful, Efficient, and Stable Inorganic-organic Hybrid Nanostructured Solar Cells Nano Lett. 2013, 13, 1764 DOI: 10.1021/nl400349bGoogle Scholar6Chemical Management for Colorful, Efficient, and Stable Inorganic-Organic Hybrid Nanostructured Solar CellsNoh, Jun Hong; Im, Sang Hyuk; Heo, Jin Hyuck; Mandal, Tarak N.; Seok, Sang IlNano Letters (2013), 13 (4), 1764-1769CODEN: NALEFD; ISSN:1530-6984. (American Chemical Society)Chem. tuned inorg.-org. hybrid materials, based on MeNH3(=MA)Pb(I1-xBrx)3 perovskites, have been studied using UV-visible absorption and x-ray diffraction patterns and applied to nanostructured solar cells. The band gap engineering brought about by the chem. management of MAPb(I1-xBrx)3 perovskites can be controllably tuned to cover almost the entire visible spectrum, enabling the realization of colorful solar cells. The authors demonstrate highly efficient solar cells exhibiting 12.3% in a power conversion efficiency of under std. AM 1.5, for the most efficient device, as a result of tunable compn. for the light harvester in conjunction with a mesoporous TiO2 film and a hole conducting polymer. Probably the works highlighted in this paper represent one step toward the realization of low-cost, high-efficiency, and long-term stability with colorful solar cells.
- 7Sadhanala, A.; Deschler, F.; Thomas, T. H.; Dutton, S. E.; Goedel, K. C.; Hanusch, F. C.; Lai, M. L.; Steiner, U.; Bein, T.; Docampo, P. Preparation of Single Phase Films of CH3NH3Pb(I1–xBrx)3 with Sharp Optical Band Edges J. Phys. Chem. Lett. 2014, 5, 2501 DOI: 10.1021/jz501332vGoogle Scholar7Preparation of Single-Phase Films of CH3NH3Pb(I1-xBrx)3 with Sharp Optical Band EdgesSadhanala, Aditya; Deschler, Felix; Thomas, Tudor H.; Dutton, Sian E.; Goedel, Karl C.; Hanusch, Fabian C.; Lai, May L.; Steiner, Ullrich; Bein, Thomas; Docampo, Pablo; Cahen, David; Friend, Richard H.Journal of Physical Chemistry Letters (2014), 5 (15), 2501-2505CODEN: JPCLCD; ISSN:1948-7185. (American Chemical Society)Organometallic lead-halide perovskite-based solar cells now approach 18% efficiency. Introducing a mixt. of bromide and iodide in the halide compn. allows tuning of the optical bandgap. We prep. mixed bromide-iodide lead perovskite films CH3NH3Pb(I1-xBrx)3 (0 ≤ x ≤ 1) by spin-coating from soln. and obtain films with monotonically varying bandgaps across the full compn. range. Photothermal deflection spectroscopy, photoluminescence, and x-ray diffraction show that following suitable fabrication protocols these mixed lead-halide perovskite films form a single phase. The optical absorption edge of the pure tri-iodide and tribromide perovskites is sharp with Urbach energies of 15 and 23 meV, resp., and reaches a max. of 90 meV for CH3NH3PbI1.2Br1.8. We demonstrate a bromide-iodide lead perovskite film (CH3NH3PbI1.2Br1.8) with an optical bandgap of 1.94 eV, which is optimal for tandem cells of these materials with cryst. silicon devices.
- 8Kulkarni, S. A.; Baikie, T.; Boix, P. P.; Yantara, N.; Mathews, N.; Mhaisalkar, S. Band-gap Tuning of Lead Halide Perovskites Using a Sequential Deposition Process J. Mater. Chem. A 2014, 2, 9221 DOI: 10.1039/C4TA00435CGoogle Scholar8Band-gap tuning of lead halide perovskites using a sequential deposition processKulkarni, Sneha A.; Baikie, Tom; Boix, Pablo P.; Yantara, Natalia; Mathews, Nripan; Mhaisalkar, SubodhJournal of Materials Chemistry A: Materials for Energy and Sustainability (2014), 2 (24), 9221-9225CODEN: JMCAET; ISSN:2050-7496. (Royal Society of Chemistry)Band-gap tuning of mixed anion lead halide perovskites (MAPb(I1-xBrx)2 (0 ≤ x ≤ 1)) has been demonstrated by means of a sequential deposition process. The optical properties of perovskite hybrids can be flexibly modified by changing (mixing) the concn. of halogen precursors. The concns. of precursor soln. as well as the conversion time play an important role in detg. the band-gap of perovskites. A systematic shift of the absorption band edge to shorter wavelengths is obsd. with increasing Br content in the perovskite films, which results in the decrement of the photocurrent. Nanorod like morphol. features are also obsd. for perovskite films with an iodide to bromide molar ratio of <0.7.
- 9Fedeli, P.; Gazza, F.; Calestani, D.; Ferro, P.; Besagni, T.; Zappettini, A.; Calestani, G.; Marchi, E.; Ceroni, P.; Mosca, R. Influence of the Synthetic Procedures on the Structural and Optical Properties of Mixed-Halide (Br,I) Perovskite Films J. Phys. Chem. C 2015, 119, 21304 DOI: 10.1021/acs.jpcc.5b03923Google ScholarThere is no corresponding record for this reference.
- 10Ledinský, M.; Löper, P.; Niesen, B.; Holovský, J.; Moon, S.-J.; Yum, J.-H.; De Wolf, S.; Fejfar, A.; Ballif, C. Raman Spectroscopy of Organic Inorganic Halide Perovskites J. Phys. Chem. Lett. 2015, 6, 401 DOI: 10.1021/jz5026323Google Scholar10Raman Spectroscopy of Organic-Inorganic Halide PerovskitesLedinsky, Martin; Loper, Philipp; Niesen, Bjoern; Holovsky, Jakub; Moon, Soo-Jin; Yum, Jun-Ho; De Wolf, Stefaan; Fejfar, Antonin; Ballif, ChristopheJournal of Physical Chemistry Letters (2015), 6 (3), 401-406CODEN: JPCLCD; ISSN:1948-7185. (American Chemical Society)Micro-Raman spectroscopy provides laterally resolved microstructural information for a broad range of materials. In this Letter, we apply this technique to tri-iodide (CH3NH3PbI3), tribromide (CH3NH3PbBr3), and mixed iodide-bromide (CH3NH3PbI3-xBrx) org.-inorg. halide perovskite thin films and discuss necessary conditions to obtain reliable data. We explain how to measure Raman spectra of pristine CH3NH3PbI3 layers and discuss the distinct Raman bands that develop during moisture-induced degrdn. We also prove unambiguously that the final degrdn. products contain pure PbI2. Moreover, we describe CH3NH3PbI3-xBrx Raman spectra and discuss how the perovskite crystallog. symmetries affect the Raman band intensities and spectral shapes. On the basis of the dependence of the Raman shift on the iodide-to-bromide ratio, we show that Raman spectroscopy is a fast and nondestructive method for the evaluation of the relative iodide-to-bromide ratio.
- 11Gil-Escrig, L.; Miquel-Sempere, A.; Sessolo, M.; Bolink, H. J. Mixed Iodide-bromide Methylammonium Lead Perovskite-based Diodes for Light Emission and Photovoltaics J. Phys. Chem. Lett. 2015, 6, 3743 DOI: 10.1021/acs.jpclett.5b01716Google Scholar11Mixed Iodide-Bromide Methylammonium Lead Perovskite-based Diodes for Light Emission and PhotovoltaicsGil-Escrig, Lidon; Miquel-Sempere, Araceli; Sessolo, Michele; Bolink, Henk J.Journal of Physical Chemistry Letters (2015), 6 (18), 3743-3748CODEN: JPCLCD; ISSN:1948-7185. (American Chemical Society)Vacuum deposition techniques are used to prep. mixed iodide-bromide methylammonium lead perovskite diodes via an intermediate double layer of the pure iodide and bromide perovskites. The diodes lead to bright electroluminescence, whose emission spectra maxima shift from the IR toward the visible with increasing bromide content. When illuminated with AM1.5 simulated sunlight the devices function as efficient solar cells with power conversion efficiencies as high as 12.9%.
- 12Egger, D. A.; Edri, E.; Cahen, D.; Hodes, G. Perovskite Solar Cells: Do We Know What We Do Not Know? J. Phys. Chem. Lett. 2015, 6, 279 DOI: 10.1021/jz502726bGoogle Scholar12Perovskite Solar Cells: Do We Know What We Do Not Know?Egger, David A.; Edri, Eran; Cahen, David; Hodes, GaryJournal of Physical Chemistry Letters (2015), 6 (2), 279-282CODEN: JPCLCD; ISSN:1948-7185. (American Chemical Society)There is no expanded citation for this reference.
- 13Hoke, E. T.; Slotcavage, D. J.; Dohner, E. R.; Bowring, A. R.; Karunadasa, H. I.; McGehee, M. D. Reversible Photo-induced Trap Formation in Mixed-halide Hybrid Perovskites for Photovoltaics Chem. Sci. 2015, 6, 613 DOI: 10.1039/C4SC03141EGoogle Scholar13Reversible photo-induced trap formation in mixed-halide hybrid perovskites for photovoltaicsHoke, Eric T.; Slotcavage, Daniel J.; Dohner, Emma R.; Bowring, Andrea R.; Karunadasa, Hemamala I.; McGehee, Michael D.Chemical Science (2015), 6 (1), 613-617CODEN: CSHCCN; ISSN:2041-6520. (Royal Society of Chemistry)We report on reversible, light-induced transformations in (CH3NH3)Pb(BrxI1-x)3. Photoluminescence (PL) spectra of these perovskites develop a new, red-shifted peak at 1.68 eV that grows in intensity under const., 1-sun illumination in less than a minute. This is accompanied by an increase in sub-bandgap absorption at ∼1.7 eV, indicating the formation of luminescent trap states. Light soaking causes a splitting of X-ray diffraction (XRD) peaks, suggesting segregation into two cryst. phases. Surprisingly, these photo-induced changes are fully reversible; the XRD patterns and the PL and absorption spectra revert to their initial states after the materials are left for a few minutes in the dark. We speculate that photoexcitation may cause halide segregation into iodide-rich minority and bromide-enriched majority domains, the former acting as a recombination center trap. This instability may limit achievable voltages from some mixed-halide perovskite solar cells and could have implications for the photostability of halide perovskites used in optoelectronics.
- 14Niemann, R. G.; Kontos, A. G.; Palles, D.; Kamitsos, E. I.; Kaltzoglou, A.; Brivio, F.; Falaras, P.; Cameron, P. J. Halogen Effects on Ordering and Bonding of CH3NH3+ in CH3NH3PbX3 (X= Cl, Br, I) Hybrid Perovskites: A Vibrational Spectroscopic Study J. Phys. Chem. C 2016, 120, 2509 DOI: 10.1021/acs.jpcc.5b11256Google Scholar14Halogen Effects on Ordering and Bonding of CH3NH3+ in CH3NH3PbX3 (X = Cl, Br, I) Hybrid Perovskites: A Vibrational Spectroscopic StudyNiemann, Ralf G.; Kontos, Athanassios G.; Palles, Dimitrios; Kamitsos, Efstratios I.; Kaltzoglou, Andreas; Brivio, Federico; Falaras, Polycarpos; Cameron, Petra J.Journal of Physical Chemistry C (2016), 120 (5), 2509-2519CODEN: JPCCCK; ISSN:1932-7447. (American Chemical Society)This study reports Raman and IR spectra of hybrid org.-inorg. MAPbX3 perovskites (MA = CH3NH3, X = Cl, Br, I) and their mixed-halide derivs. Raman spectra were recorded at three laser wavelengths (514, 785, and 1064 nm) under on- and off-resonance conditions, as well as at room temp. and 100 K. The use of different excitation wavelengths allowed the unambiguous acquisition of "true" Raman spectra from the perovskites, without degrdn. or photoinduced structural changes. Low-frequency PbX vibrational modes were thoroughly identified by comparison of Raman and far-IR results. Red Raman frequency shifts for almost all MA vibrations from 200 to 3200 cm-1, and particularly intense for the torsional mode, were obsd. toward heavy halide derivs., indicative of strengthening the interaction between halides and the org. cation inside the inorg. cage. Different MA-X bonding schemes are evidenced by torsional mode pairs emerging in the orthorhombic phase. MAPbBr3 was further characterized by variable temp. Raman measurements (100-295 K). Broadening of the MA rocking mode slightly above the tetragonal I to II phase transition is connected with disorder of the MA cation. Our results advance the understanding of perovksite materials properties (ferroelec. domain formation, anomalous hysteresis) and their use as efficient light absorbers in solar cells.
- 15Xiao, Z.; Yuan, Y.; Shao, Y.; Wang, Q.; Dong, Q.; Bi, C.; Sharma, P.; Gruverman, A.; Huang, J. Giant Switchable Photovoltaic Effect in Organometal Trihalide Perovskite Devices Nat. Mater. 2015, 14, 193 DOI: 10.1038/nmat4150Google Scholar15Giant switchable photovoltaic effect in organometal trihalide perovskite devicesXiao, Zhengguo; Yuan, Yongbo; Shao, Yuchuan; Wang, Qi; Dong, Qingfeng; Bi, Cheng; Sharma, Pankaj; Gruverman, Alexei; Huang, JinsongNature Materials (2015), 14 (2), 193-198CODEN: NMAACR; ISSN:1476-1122. (Nature Publishing Group)Organolead trihalide perovskite (OTP) materials are emerging as naturally abundant materials for low-cost, soln.-processed and highly efficient solar cells. Here, we show that, in OTP-based photovoltaic devices with vertical and lateral cell configurations, the photocurrent direction can be switched repeatedly by applying a small elec. field of <1 V μm-1. The switchable photocurrent, generally obsd. in devices based on ferroelec. materials, reached 20.1 mA cm-2 under one sun illumination in OTP devices with a vertical architecture, which is four orders of magnitude larger than that measured in other ferroelec. photovoltaic devices. This field-switchable photovoltaic effect can be explained by the formation of reversible p-i-n structures induced by ion drift in the perovskite layer. The demonstration of switchable OTP photovoltaics and elec.-field-manipulated doping paves the way for innovative solar cell designs and for the exploitation of OTP materials in elec. and optically readable memristors and circuits.
- 16Yuan, Y.; Huang, J. Ion Migration in Organometal Trihalide Perovskite and Its Impact on Photovoltaic Efficiency and Stability Acc. Chem. Res. 2016, 49, 286 DOI: 10.1021/acs.accounts.5b00420Google Scholar16Ion Migration in Organometal Trihalide Perovskite and Its Impact on Photovoltaic Efficiency and StabilityYuan, Yongbo; Huang, JinsongAccounts of Chemical Research (2016), 49 (2), 286-293CODEN: ACHRE4; ISSN:0001-4842. (American Chemical Society)A review. Organometal trihalide perovskites (OTPs) are emerging as very promising photovoltaic materials because the power conversion efficiency (PCE) of OTP solar cells quickly rises and now rivals with that of single crystal silicon solar cells after only five-years research. Their prospects to replace silicon photovoltaics to reduce the cost of renewable clean energy are boosted by the low-temp. soln. processing as well as the very low-cost raw materials and relative insensitivity to defects. The flexibility, semitransparency, and vivid colors of perovskite solar cells are attractive for niche applications such as built-in photovoltaics and portable lightwt. chargers. However, the low stability of current hybrid perovskite solar cells remains a serious issue to be solved before their broad application. Among all those factors that affect the stability of perovskite solar cells, ion migration in OTPs may be intrinsic and cannot be taken away by device encapsulation.The presence of ion migration has received broad attention after the report of photocurrent hysteresis in OTP based solar cells. As suggested by much direct and indirect exptl. evidence, the ion migration is speculated to be the origin or an important contributing factor for many obsd. unusual phenomenon in OTP materials and devices, such as current-voltage hysteresis, switchable photovoltaic effect, giant dielec. const., diminished transistor behavior at room temp., photoinduced phase sepn., photoinduced self-poling effect, and elec.-field driven reversible conversion between lead iodide (PbI2) and methylammonium lead triiodide (MAPbI3). Undoubtedly thorough insight into the ion-migration mechanism is highly desired for the development of OTP based devices to improve intrinsic stability in the dark and under illumination. In this Account, we critically review the recent progress in understanding the fundamental science on ion migration in OTP based solar cells. We look into both theor. and expt. advances in answering these basic questions: Does ion migration occur and cause the photocurrent hysteresis in perovskite solar cells. What are the migrating ion species. How do ions migrate. How does ion migration impact the device efficiency and stability. How can ion migration be mitigated or eliminated. We also raise some questions that need to be understood and addressed in the future.
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- 18Yin, W.-J.; Yan, Y.; Wei, S.-H. Anomalous Alloy Properties in Mixed Halide Perovskites J. Phys. Chem. Lett. 2014, 5, 3625 DOI: 10.1021/jz501896wGoogle Scholar18Anomalous Alloy Properties in Mixed Halide PerovskitesYin, Wan-Jian; Yan, Yanfa; Wei, Su-HuaiJournal of Physical Chemistry Letters (2014), 5 (21), 3625-3631CODEN: JPCLCD; ISSN:1948-7185. (American Chemical Society)Engineering halide perovskite through mixing halogen elements, such as CH3NH3PbI3-xClx and CH3NH3PbI3-xBrx, is a viable way to tune its electronic and optical properties. Despite many emerging expts. on mixed halide perovskites, the basic electronic and structural properties of the alloys were not understood and some crucial questions remain, for example, how much Cl can be incorporated into CH3NH3PbI3 is still unclear. In this Letter, the authors chose CsPbX3 (X = I, Br, Cl) as an example and use a 1st-principle calcn. together with cluster-expansion methods to systematically study the structural, electronic, and optical properties of mixed halide perovskites and find that unlike conventional semiconductor alloys, they exhibit many anomalous alloy properties such as small or even neg. formation energies at some concns. and negligible or even neg. band gap bowing parameters at high temp. Further mixed-(I,Cl) perovskite is hard to form at temp. <625 K, whereas forming mixed-(Br,Cl) and (I,Br) alloys are easy at room temp.
- 19Onoda-Yamamuro, N.; Matsuo, T.; Suga, H. Calorimetric and IR Spectroscopic Studies of Phase Transitions in Methylammonium Trihalogenoplumbates (II) J. Phys. Chem. Solids 1990, 51, 1383 DOI: 10.1016/0022-3697(90)90021-7Google Scholar19Calorimetric and IR spectroscopic studies of phase transitions in methylammonium trihaloplumbates(II)Onoda-Yamamuro, Noriko; Matsuo, Takasuke; Suga, HiroshiJournal of Physics and Chemistry of Solids (1990), 51 (12), 1383-95CODEN: JPCSAW; ISSN:0022-3697.Heat capacities of CH3NH3PbX3(X = Cl, Br, I) were measured at 13-300 K (365 K for the I). Two anomalies were found in the Cl and the I, and 3 in the Br. All the phase transitions were of the 1st order, although the highest temp. transitions in the Br and the I were close to 2nd order. Their temps. and entropies are given.
- 20Shannon, R. D. Revised Effective Ionic Radii and Systematic Studies of Interatomic Distances in Halides and Chalcogenides Acta Crystallogr., Sect. A: Cryst. Phys., Diffr., Theor. Gen. Crystallogr. 1976, 32, 751 DOI: 10.1107/S0567739476001551Google ScholarThere is no corresponding record for this reference.
- 21Sher, A.; van Schilfgaarde, M.; Chen, A.-B.; Chen, W. Quasichemical Approximation in Binary Alloys Phys. Rev. B: Condens. Matter Mater. Phys. 1987, 36, 4279 DOI: 10.1103/PhysRevB.36.4279Google ScholarThere is no corresponding record for this reference.
- 22Stringfellow, G. Calculation of Ternary and Quaternary III-V Phase Diagrams J. Cryst. Growth 1974, 27, 21 DOI: 10.1016/S0022-0248(74)80047-3Google Scholar22Calculation of ternary and quaternary III-V phase diagramsStringfellow, G. B.Journal of Crystal Growth (1974), 27 (), 21-34CODEN: JCRGAE; ISSN:0022-0248.The models used to calc. binary and ternary III-V phase diagrams are reviewed. The simple solns. moel with Ω = a - bT is found to satisfactorily describe the liq. phase and the solid phase is adequately described using the regular soln. model. The DLP (delta lattice parameter) model of the solid, based on the concept that the bonding in alloys is detd. largely by the energy of the electrons, is found to be capable of predicting accurately the magnitudes of the solid interaction parameters knowing only the lattice parameters of the pure III-V compds. The simple soln. model with Ω = a - βT for the liq. and DLP model for the solid is then used in the calcn. of the quaternary III-V phase diagrams. One outcome of the calcn. is the establishment of a condition which can be used to check the consistency of the parameters ΔHF, TF, and Ω1 of the four solid III-V compds. bounding the solid phase field, against the soln. model. The agreement of the calcd. quaternary results with expt. in the GaxIn1-xAs1-y system is satisfactory. In the AlxGa1-xPyAs1-y system, the consistency condition is not satisfied, and thus the calcn. cannot agree with previous ternary calcns. for the (Al,Ga)As, (Al,Ga)P and Ga(As,P) systems simultaneously. Parameters were chosen so that good agreement is established with all except the (Al,Ga)P ternary.
- 23Yang, T.-Y.; Gregori, G.; Pellet, N.; Grätzel, M.; Maier, J. The Significance of Ion Conduction in a Hybrid Organic-Inorganic Lead-Iodide-Based Perovskite Photosensitizer Angew. Chem., Int. Ed. 2015, 54, 7905 DOI: 10.1002/anie.201500014Google Scholar23The Significance of Ion Conduction in a Hybrid Organic-Inorganic Lead Iodide-Based Perovskite PhotosensitizerYang, Tae-Youl; Gregori, Giuliano; Pellet, Norman; Graetzel, Michael; Maier, JoachimAngewandte Chemie, International Edition (2015), 54 (27), 7905-7910CODEN: ACIEF5; ISSN:1433-7851. (Wiley-VCH Verlag GmbH & Co. KGaA)The success of perovskite solar cells has sparked excitement in the photovoltaic community not only because of unexpectedly high efficiencies but also because of the future potential ascribed to such cryst. absorber materials. Far from being exhaustively studied in terms of solid-state properties, these materials surprised by anomalies such as a huge apparent low-frequency dielec. const. and pronounced hysteretic current-voltage behavior. Methylammonium (but also formamidinium) iodoplumbates are mixed conductors with a large fraction of ion conduction because of I ions. In particular, the authors measure and model the stoichiometric polarization caused by the mixed conduction and demonstrate that the above anomalies can be explained by the build-up of stoichiometric gradients as a consequence of ion blocking interfaces. These findings provide insight into elec. charge transport in the hybrid org.-inorg. lead halide solar cells as well as into new possibilities of improving the photovoltaic performance by controlling the ionic disorder.
- 24Zhang, Y.; Liu, M.; Eperon, G. E.; Leijtens, T. C.; McMeekin, D.; Saliba, M.; Zhang, W.; De Bastiani, M.; Petrozza, A.; Herz, L. M. Charge Selective Contacts, Mobile Ions and Anomalous Hysteresis in Organic-Inorganic Perovskite Solar Cells Mater. Horiz. 2015, 2, 315 DOI: 10.1039/C4MH00238EGoogle Scholar24Charge selective contacts, mobile ions and anomalous hysteresis in organic-inorganic perovskite solar cellsZhang, Ye; Liu, Mingzhen; Eperon, Giles E.; Leijtens, Tomas C.; McMeekin, David; Saliba, Michael; Zhang, Wei; de Bastiani, Michele; Petrozza, Annamaria; Herz, Laura M.; Johnston, Michael B.; Lin, Hong; Snaith, Henry J.Materials Horizons (2015), 2 (3), 315-322CODEN: MHAOBM; ISSN:2051-6355. (Royal Society of Chemistry)High-efficiency perovskite solar cells typically employ an org.-inorg. metal halide perovskite material as light absorber and charge transporter, sandwiched between a p-type electron-blocking org. hole-transporting layer and an n-type hole-blocking electron collection titania compact layer. Some device configurations also include a thin mesoporous layer of TiO2 or Al2O3 which is infiltrated and capped with the perovskite absorber. Herein, we demonstrate that it is possible to fabricate planar and mesoporous perovskite solar cells devoid of an electron selective hole-blocking titania compact layer, which momentarily exhibit power conversion efficiencies (PCEs) of over 13%. This performance is however not sustained and is related to the previously obsd. anomalous hysteresis in perovskite solar cells. The "compact layer-free" meso-superstructured perovskite devices yield a stabilized PCE of only 2.7% while the compact layer-free planar heterojunction devices display no measurable steady state power output when devoid of an electron selective contact. In contrast, devices including the titania compact layer exhibit stabilized efficiency close to that derived from the current voltage measurements. We propose that under forward bias the perovskite diode becomes polarised, providing a beneficial field, allowing accumulation of pos. and neg. space charge near the contacts, which enables more efficient charge extn. This provides the required built-in potential and selective charge extn. at each contact to temporarily enable efficient operation of the perovskite solar cells even in the absence of charge selective n- and p-type contact layers. The polarisation of the material is consistent with long range migration and accumulation of ionic species within the perovskite to the regions near the contacts. When the external field is reduced under working conditions, the ions can slowly diffuse away from the contacts redistributing throughout the film, reducing the field asymmetry and the effectiveness of the operation of the solar cells. We note that in light of recent publications showing high efficiency in devices devoid of charge. selective contacts, this work reaffirms the abs. necessity to measure and report the stabilized power output under load when characterizing perovskite solar cells.
- 25Eames, C.; Frost, J. M.; Barnes, P. R. F.; O’Regan, B. C.; Walsh, A.; Islam, M. S. Ionic Transport in Hybrid Lead Iodide Perovskite Solar Cells Nat. Commun. 2015, 6, 7497 DOI: 10.1038/ncomms8497Google Scholar25Ionic transport in hybrid lead iodide perovskite solar cellsEames, Christopher; Frost, Jarvist M.; Barnes, Piers R. F.; O'Regan, Brian C.; Walsh, Aron; Islam, M. SaifulNature Communications (2015), 6 (), 7497CODEN: NCAOBW; ISSN:2041-1723. (Nature Publishing Group)Solar cells based on org.-inorg. halide perovskites have recently shown rapidly rising power conversion efficiencies, but exhibit unusual behavior such as current-voltage hysteresis and a low-frequency giant dielec. response. Ionic transport has been suggested to be an important factor contributing to these effects; however, the chem. origin of this transport and the mobile species are unclear. Here, the activation energies for ionic migration in methylammonium lead iodide (CH3NH3PbI3) are derived from first principles, and are compared with kinetic data extd. from the current-voltage response of a perovskite-based solar cell. We identify the microscopic transport mechanisms, and find facile vacancy-assisted migration of iodide ions with an activation energy of 0.6 eV, in good agreement with the kinetic measurements. The results of this combined computational and exptl. study suggest that hybrid halide perovskites are mixed ionic-electronic conductors, a finding that has major implications for solar cell device architectures.
- 26Haruyama, J.; Sodeyama, K.; Han, L.; Tateyama, Y. First-Principles Study of Ion Diffusion in Perovskite Solar Cell Sensitizers J. Am. Chem. Soc. 2015, 137, 10048 DOI: 10.1021/jacs.5b03615Google Scholar26First-Principles Study of Ion Diffusion in Perovskite Solar Cell SensitizersHaruyama, Jun; Sodeyama, Keitaro; Han, Liyuan; Tateyama, YoshitakaJournal of the American Chemical Society (2015), 137 (32), 10048-10051CODEN: JACSAT; ISSN:0002-7863. (American Chemical Society)Hysteresis in current-voltage curves has been an important issue for conversion efficiency evaluation and development of perovskite solar cells (PSCs). In this study, we explored the ion diffusion effects in tetragonal CH3NH3PbI3 (MAPbI3) and trigonal (NH2)2CHPbI3 (FAPbI3) by first-principles calcns. The calcd. activation energies of the anionic and cationic vacancy migrations clearly show that I- anions in both MAPbI3 and FAPbI3 can easily diffuse with low barriers of ca. 0.45 eV, comparable to that obsd. in ion-conducting materials. More interestingly, typical MA+ cations and larger FA+ cations both have rather low barriers as well, indicating that the cation mols. can migrate in the perovskite sensitizers when a bias voltage is applied. These results can explain the ion displacement scenario recently proposed by expts. With the dil. diffusion theory, we discuss that smaller vacancy concns. (higher crystallinity) and replacement of MA+ with larger cation mols. will be essential for suppressing hysteresis as well as preventing aging behavior of PSC photosensitizers.
- 27Azpiroz, J. M.; Mosconi, E.; Bisquert, J.; De Angelis, F. Defects Migration in Methylammonium Lead Iodide and their Role in Perovskite Solar Cells Operation Energy Environ. Sci. 2015, 8, 2118 DOI: 10.1039/C5EE01265AGoogle Scholar27Defect migration in methylammonium lead iodide and its role in perovskite solar cell operationAzpiroz, Jon M.; Mosconi, Edoardo; Bisquert, Juan; De Angelis, FilippoEnergy & Environmental Science (2015), 8 (7), 2118-2127CODEN: EESNBY; ISSN:1754-5706. (Royal Society of Chemistry)In spite of the unprecedented advance of organohalide lead perovskites in the photovoltaics scenario, many of the characteristics of this class of materials, including their slow photocond. response, solar cell hysteresis, and switchable photocurrent, remain poorly understood. Many exptl. hints point to defect migration as a plausible mechanism underlying these anomalous properties. By means of state-of-the-art first-principles computational analyses carried out on the tetragonal MAPbI3 (MA = methylammonium) perovskite and on its interface with TiO2, we demonstrate that iodine vacancies and interstitials may easily diffuse across the perovskite crystal, with migration activation energies as low as ∼0.1 eV. Under working conditions, iodine-related defects are predicted to migrate at the electrodes on very short time scales (<1 μs). MA and Pb vacancies, with calcd. activation barriers of ∼0.5 and 0.8 eV, resp., could be responsible for the slow response inherent to perovskites, with typical calcd. migration times of the order of tens of ms to minutes. By investigating realistic models of the perovskite/TiO2 interface we show that neg. charged defects, e.g. MA vacancies, close to the electron transport layer (TiO2 in our case) modify the perovskite electronic state landscape, hampering charge extn. at selective contacts, thus possibly contributing to the obsd. solar cell hysteresis. We further demonstrate the role of the electron transport layer in affecting the initial concn. of defects close to the selective contacts, highlighting how charge sepn. at the perovskite/TiO2 interface may further change the defect distribution. We believe that this work, identifying the mobile species in perovskite solar cells, their migration across the perovskite material, and their effect on the operational mechanism of the device, may pave the way for the development of new materials and solar cell architectures with improved and stabilized efficiencies.
- 28Hentz, O.; Zhao, Z.; Gradecak, S. Impacts of Ion Segregation on Local Optical Properties in Mixed Halide Perovskite Films Nano Lett. 2016, 16, 1485 DOI: 10.1021/acs.nanolett.5b05181Google Scholar28Impacts of Ion Segregation on Local Optical Properties in Mixed Halide Perovskite FilmsHentz, Olivia; Zhao, Zhibo; Gradecak, SilvijaNano Letters (2016), 16 (2), 1485-1490CODEN: NALEFD; ISSN:1530-6984. (American Chemical Society)Despite the recent astronomical success of org.-inorg. perovskite solar cells (PSCs), the impact of microscale film inhomogeneities on device performance remains poorly understood. In this work, we study CH3NH3PbI3 perovskite films using cathodoluminescence in scanning transmission electron microscopy and show that localized regions with increased cathodoluminescence intensity correspond to iodide-enriched regions. These observations constitute direct evidence that nanoscale stoichiometric variations produce corresponding inhomogeneities in film cathodoluminescence intensity. Moreover, we observe the emergence of high-energy transitions attributed to beam induced iodide segregation, which may mirror the effects of ion migration during PSC operation. Our results demonstrate that such ion segregation can fundamentally change the local optical and microstructural properties of org.-inorg. perovskite films in the course of normal device operation and therefore address the obsd. complex and unpredictable behavior in PSC devices.
- 29Shi, J.; Xu, X.; Zhang, H.; Luo, Y.; Li, D.; Meng, Q. Intrinsic Slow Charge Response in the Perovskite Solar Cells: Electron and Ion Transport Appl. Phys. Lett. 2015, 107, 163901 DOI: 10.1063/1.4934633Google ScholarThere is no corresponding record for this reference.
- 30Teles, L. K.; Furthmüller, J.; Scolfaro, L. M. R.; Leite, J. R.; Bechstedt, F. First-principles Calculations of the Thermodynamic and Structural Properties of Strained InxGa1–xN and AlxGa1–xN Alloys Phys. Rev. B: Condens. Matter Mater. Phys. 2000, 62, 2475 DOI: 10.1103/PhysRevB.62.2475Google Scholar30First-principles calculations of the thermodynamic and structural properties of strained InxGa1-xN and AlxGa1-xN alloysTeles, L. K.; Furthmuller, J.; Scolfaro, L. M. R.; Leite, J. R.; Bechstedt, F.Physical Review B: Condensed Matter and Materials Physics (2000), 62 (4), 2475-2485CODEN: PRBMDO; ISSN:0163-1829. (American Physical Society)We present first-principles calcns. of the thermodn. and structural properties of cubic InxGa1-xN and AlxGa1-xN alloys. They are based on the generalized quasi-chem. approach to disorder and compn. effects and a pseudopotential-plane-wave approxn. for the total energy. The cluster treatment is generalized to study the influence of biaxial strain. We find a remarkable suppression of phase sepn. in InxGa1-xN.
- 31Schleife, A.; Eisenacher, M.; Rödl, C.; Fuchs, F.; Furthmüller, J.; Bechstedt, F. Ab initio Description of Heterostructural Alloys: Thermodynamic and Structural Properties of MgxZn1–xO and CdxZn1–xO Phys. Rev. B: Condens. Matter Mater. Phys. 2010, 81, 245210 DOI: 10.1103/PhysRevB.81.245210Google ScholarThere is no corresponding record for this reference.
- 32Kohn, W.; Sham, L. J. Self-consistent Equations Including Exchange and Correlation Effects Phys. Rev. 1965, 140, A1133 DOI: 10.1103/PhysRev.140.A1133Google ScholarThere is no corresponding record for this reference.
- 33Frost, J. M.; Butler, K. T.; Brivio, F.; Hendon, C. H.; van Schilfgaarde, M.; Walsh, A. Atomistic Origins of High-Performance in Hybrid Halide Perovskite Solar Cells Nano Lett. 2014, 14, 2584 DOI: 10.1021/nl500390fGoogle Scholar33Atomistic Origins of High-Performance in Hybrid Halide Perovskite Solar CellsFrost, Jarvist M.; Butler, Keith T.; Brivio, Federico; Hendon, Christopher H.; van Schilfgaarde, Mark; Walsh, AronNano Letters (2014), 14 (5), 2584-2590CODEN: NALEFD; ISSN:1530-6984. (American Chemical Society)The performance of organometallic perovskite solar cells has rapidly surpassed that of both conventional dye-sensitized and org. photovoltaics. High-power conversion efficiency can be realized in both mesoporous and thin-film device architectures. The authors address the origin of this success in the context of the materials chem. and physics of the bulk perovskite as described by electronic structure calcns. In addn. to the basic optoelectronic properties essential for an efficient photovoltaic device (spectrally suitable band gap, high optical absorption, low carrier effective masses), the materials are structurally and compositionally flexible. As the authors show, hybrid perovskites exhibit spontaneous elec. polarization; the authors also suggest ways in which this can be tuned through judicious choice of the org. cation. The presence of ferroelec. domains will result in internal junctions that may aid sepn. of photoexcited electron and hole pairs, and redn. of recombination through segregation of charge carriers. The combination of high dielec. const. and low effective mass promotes both Wannier-Mott exciton sepn. and effective ionization of donor and acceptor defects. The photoferroic effect could be exploited in nanostructured films to generate a higher open circuit voltage and may contribute to the current-voltage hysteresis obsd. in perovskite solar cells.
- 34Brivio, F.; Frost, J. M.; Skelton, J. M.; Jackson, A. J.; Weber, O. J.; Weller, M. T.; Goni, A. R.; Leguy, A. M. A.; Barnes, P. R. F.; Walsh, A. Lattice Dynamics and Vibrational Spectra of the Orthorhombic, Tetragonal, and Cubic Phases of Methylammonium Lead Iodide Phys. Rev. B: Condens. Matter Mater. Phys. 2015, 92, 144308 DOI: 10.1103/PhysRevB.92.144308Google Scholar34Lattice dynamics and vibrational spectra of the orthorhombic, tetragonal, and cubic phases of methylammonium lead iodideBrivio, Federico; Frost, Jarvist M.; Skelton, Jonathan M.; Jackson, Adam J.; Weber, Oliver J.; Weller, Mark T.; Goni, Alejandro R.; Leguy, Aurelien M. A.; Barnes, Piers R. F.; Walsh, AronPhysical Review B: Condensed Matter and Materials Physics (2015), 92 (14), 144308/1-144308/8CODEN: PRBMDO; ISSN:1098-0121. (American Physical Society)The hybrid halide perovskite CH3NH3PbI3 exhibits a complex structural behavior, with successive transitions between orthorhombic, tetragonal, and cubic polymorphs around 165 and 327 K. Herein we report first-principles lattice dynamics (phonon spectrum) for each phase of CH3NH3PbI3. The equil. structures compare well to solns. of temp.-dependent powder neutron diffraction. By following the normal modes, we calc. IR and Raman intensities of the vibrations, and compare them to the measurement of a single crystal where the Raman laser is controlled to avoid degrdn. of the sample. Despite a clear sepn. in energy between low-frequency modes assocd. with the inorg. (PbI3-)n network and high-frequency modes of the org. CH3NH3+ cation, significant coupling between them is found, which emphasizes the interplay between mol. orientation and the corner-sharing octahedral networks in the structural transformations. Soft modes are found at the boundary of the Brillouin zone of the cubic phase, consistent with displacive instabilities and anharmonicity involving tilting of the PbI6 octahedra around room temp.
- 35Grau-Crespo, R.; Hamad, S.; Catlow, C. R. A.; de Leeuw, N. H. Symmetry-adapted Configurational Modelling of Fractional Site Occupancy in Solids J. Phys.: Condens. Matter 2007, 19, 256201 DOI: 10.1088/0953-8984/19/25/256201Google Scholar35Symmetry-adapted configurational modelling of fractional site occupancy in solidsGrau-Crespo, R.; Hamad, S.; Catlow, C. R. A.; de Leeuw, N. H.Journal of Physics: Condensed Matter (2007), 19 (25), 256201/1-256201/16CODEN: JCOMEL; ISSN:0953-8984. (Institute of Physics Publishing)A methodol. is presented, which reduces the no. of site-occupancy configurations to be calcd. when modeling site disorder in solids, by taking advantage of the crystal symmetry of the lattice. Within this approach, two configurations are considered equiv. when they are related by an isometric operation; a trial list of possible isometric transformations is provided by the group of symmetry operators in the parent structure, which is used to generate all configurations via at. substitutions. We have adapted the equations for configurational statistics to operate in the reduced configurational space of the independent configurations. Each configuration in this space is characterized by its reduced energy, which includes not only its energy but also a contribution from its degeneracy in the complete configurational space, via an entropic term. The new computer program SOD (site-occupancy disorder) is presented, which performs this anal. in systems with arbitrary symmetry and any size of supercell. As a case study we use the distribution of cations in iron antimony oxide FeSbO4, where we also introduce some general considerations for the modeling of site-occupancy disorder in paramagnetic systems.
- 36Leguy, A.; Hu, Y.; Campoy-Quiles, M.; Alonso, M. I.; Weber, O. J.; Azarhoosh, P.; van Schilfgaarde, M.; Weller, M. T.; Bein, T.; Nelson, J. The Reversible Hydration of CH3NH3PbI3 in Films, Single Crystals and Solar Cells Chem. Mater. 2015, 27, 3397 DOI: 10.1021/acs.chemmater.5b00660Google Scholar36Reversible Hydration of CH3NH3PbI3 in Films, Single Crystals, and Solar CellsLeguy, Aurelien M. A.; Hu, Yinghong; Campoy-Quiles, Mariano; Alonso, M. Isabel; Weber, Oliver J.; Azarhoosh, Pooya; van Schilfgaarde, Mark; Weller, Mark T.; Bein, Thomas; Nelson, Jenny; Docampo, Pablo; Barnes, Piers R. F.Chemistry of Materials (2015), 27 (9), 3397-3407CODEN: CMATEX; ISSN:0897-4756. (American Chemical Society)Solar cells composed of methylammonium lead iodide perovskite (MAPI) are notorious for their sensitivity to moisture. It is shown that hydrated crystal phases are formed when MAPI is exposed to water vapor at room temp. and these phase changes are fully reversed when the material is subsequently dried. The reversible formation of CH3NH3PbI3·H2O followed by (CH3NH3)4PbI6·2H2O (upon long exposure times) was obsd. using time-resolved XRD and ellipsometry of thin films prepd. using "solvent engineering", single crystals, and state-of-the-art solar cells. In contrast to water vapor, the presence of liq. water results in the irreversible decompn. of MAPI to form PbI2. MAPI changes from dark brown to transparent on hydration; the precise optical consts. of CH3NH3PbI3·H2O formed on single crystals were detd., with a bandgap at 3.1 eV. Using the single-crystal optical consts. and thin-film ellipsometry measurements, the time-dependent changes to MAPI films exposed to moisture were modeled. The results suggest that the monohydrate phase forms independent of the depth in the film, suggesting rapid transport of water mols. along grain boundaries. Vapor-phase hydration of an unencapsulated solar cell (initially Jsc ≈ 19 mA cm-2 and Voc ≈ 1.05 V at 1 sun) resulted in more than a 90% drop in short-circuit photocurrent and ∼200 mV loss in open-circuit potential; however, these losses were fully reversed after the device was exposed to dry nitrogen for 6 h. Hysteresis in the current-voltage characteristics was significantly increased after this dehydration, which may be related to changes in the defect d. and morphol. of MAPI following recrystn. from the hydrate. Based on the observations, it is suggested that irreversible decompn. of MAPI in the presence of water vapor only occurs significantly once a grain has been fully converted to the monohydrate phase.
- 37Bakulin, A. A.; Selig, O.; Bakker, H. J.; Rezus, Y. L. A.; Müller, C.; Glaser, T.; Lovrincic, R.; Sun, Z.; Chen, Z.; Walsh, A. Real-Time Observation of Organic Cation Reorientation in Methylammonium Lead Iodide Perovskites J. Phys. Chem. Lett. 2015, 6, 3663 DOI: 10.1021/acs.jpclett.5b01555Google Scholar37Real-Time Observation of Organic Cation Reorientation in Methylammonium Lead Iodide PerovskitesBakulin, Artem A.; Selig, Oleg; Bakker, Huib J.; Rezus, Yves L. A.; Mueller, Christian; Glaser, Tobias; Lovrincic, Robert; Sun, Zhenhua; Chen, Zhuoying; Walsh, Aron; Frost, Jarvist M.; Jansen, Thomas L. C.Journal of Physical Chemistry Letters (2015), 6 (18), 3663-3669CODEN: JPCLCD; ISSN:1948-7185. (American Chemical Society)The introduction of a mobile and polarized org. moiety as a cation in 3D Pb-iodide perovskites brings fascinating optoelectronic properties to these materials. The extent and the time scales of the orientational mobility of the org. cation and the mol. mechanism behind its motion remain unclear, with different exptl. and computational approaches providing very different qual. and quant. description of the mol. dynamics. Ultrafast 2D vibrational spectroscopy of methylammonium (MA) Pb iodide was used to directly resolve the rotation of the org. cations within the MAPbI3 lattice. The results reveal 2 characteristic time consts. of motion. Using ab initio mol. dynamics simulations, the authors identify these as a fast (∼300 fs) wobbling-in-a-cone motion around the crystal axis and a relatively slow (∼3 ps) jump-like reorientation of the mol. dipole with respect to the iodide lattice. The obsd. dynamics are essential for understanding the electronic properties of perovskite materials.
- 38Kresse, G.; Furthmüller, J. Efficient Iterative Schemes for Ab initio Total-energy Calculations Using a Plane-wave Basis Set Phys. Rev. B: Condens. Matter Mater. Phys. 1996, 54, 11169 DOI: 10.1103/PhysRevB.54.11169Google Scholar38Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis setKresse, G.; Furthmueller, J.Physical Review B: Condensed Matter (1996), 54 (16), 11169-11186CODEN: PRBMDO; ISSN:0163-1829. (American Physical Society)The authors present an efficient scheme for calcg. the Kohn-Sham ground state of metallic systems using pseudopotentials and a plane-wave basis set. In the first part the application of Pulay's DIIS method (direct inversion in the iterative subspace) to the iterative diagonalization of large matrixes will be discussed. This approach is stable, reliable, and minimizes the no. of order Natoms3 operations. In the second part, we will discuss an efficient mixing scheme also based on Pulay's scheme. A special "metric" and a special "preconditioning" optimized for a plane-wave basis set will be introduced. Scaling of the method will be discussed in detail for non-self-consistent and self-consistent calcns. It will be shown that the no. of iterations required to obtain a specific precision is almost independent of the system size. Altogether an order Natoms2 scaling is found for systems contg. up to 1000 electrons. If we take into account that the no. of k points can be decreased linearly with the system size, the overall scaling can approach Natoms. They have implemented these algorithms within a powerful package called VASP (Vienna ab initio simulation package). The program and the techniques have been used successfully for a large no. of different systems (liq. and amorphous semiconductors, liq. simple and transition metals, metallic and semiconducting surfaces, phonons in simple metals, transition metals, and semiconductors) and turned out to be very reliable.
- 39Perdew, J. P.; Ruzsinszky, A.; Csonka, G. I.; Vydrov, O. A.; Scuseria, G. E.; Constantin, L. A.; Zhou, X.; Burke, K. Restoring the Density-Gradient Expansion for Exchange in Solids and Surfaces Phys. Rev. Lett. 2008, 100, 136406 DOI: 10.1103/PhysRevLett.100.136406Google Scholar39Restoring the Density-Gradient Expansion for Exchange in Solids and SurfacesPerdew, John P.; Ruzsinszky, Adrienn; Csonka, Gabor I.; Vydrov, Oleg A.; Scuseria, Gustavo E.; Constantin, Lucian A.; Zhou, Xiaolan; Burke, KieronPhysical Review Letters (2008), 100 (13), 136406/1-136406/4CODEN: PRLTAO; ISSN:0031-9007. (American Physical Society)Popular modern generalized gradient approxns. are biased toward the description of free-atom energies. Restoration of the first-principles gradient expansion for exchange over a wide range of d. gradients eliminates this bias. We introduce a revised Perdew-Burke-Ernzerhof generalized gradient approxn. that improves equil. properties of densely packed solids and their surfaces.
- 40Blöchl, P. E. Projector Augmented-wave Method Phys. Rev. B: Condens. Matter Mater. Phys. 1994, 50, 17953 DOI: 10.1103/PhysRevB.50.17953Google Scholar40Projector augmented-wave methodBlochlPhysical review. B, Condensed matter (1994), 50 (24), 17953-17979 ISSN:0163-1829.There is no expanded citation for this reference.
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Abstract
Figure 1
Figure 1. Energy of mixing (top) and entropy of mixing (bottom) as functions of the CH3NH3Pb(I1–xBrx)3 alloy composition. The symbols are the values calculated for each configuration (eq 1). The solid lines show the behavior for the alloy at 200 K (blue), 300 K (green) and for a completely random alloy in the high T limit (red) within the generalized quasi-chemical approximation. The dashed line represents the convex hull.
Figure 2
Figure 2. Stable ordered structures identified for MAPbIBr2 and MAPbI1/2Br5/2, which minimize internal strain arising from the size mismatch between I and Br. The atoms at the corners of the octahedra are the halides Br (orange) and I (pink). The most stable structures are layered with iodine at the apical positions.
Figure 3
Figure 3. Calculated Helmholtz free energy as a function of the alloy composition and temperature as calculated within the generalized quasi-chemical approximation.
Figure 4
Figure 4. Predicted phase diagram of the MAPb(I1–xBrx)3 alloy. The purple and pink lines are the binodal and spinodal lines, respectively. The dashed horizontal line shows the miscibility gap at room temperature. A thermodynamically stable solid-solution can be formed in the white region only.
References
This article references 40 other publications.
- 1Jeon, N. J.; Noh, J. H.; Kim, Y. C.; Yang, W. S.; Ryu, S.; Seok, S. I. Solvent Engineering for High-performance Inorganic-organic Hybrid Perovskite Solar Cells Nat. Mater. 2014, 13, 897 DOI: 10.1038/nmat40141Solvent engineering for high-performance inorganic-organic hybrid perovskite solar cellsJeon, Nam Joong; Noh, Jun Hong; Kim, Young Chan; Yang, Woon Seok; Ryu, Seungchan; Seok, Sang IlNature Materials (2014), 13 (9), 897-903CODEN: NMAACR; ISSN:1476-1122. (Nature Publishing Group)Organolead trihalide perovskite materials have been successfully used as light absorbers in efficient photovoltaic cells. Two different cell structures, based on mesoscopic metal oxides and planar heterojunctions have already demonstrated very impressive advances in performance. Here, we report a bilayer architecture comprising the key features of mesoscopic and planar structures obtained by a fully soln.-based process. We used CH3NH3 Pb(I1 - xBrx)3 (x = 0.1-0.15) as the absorbing layer and poly(triarylamine) as a hole-transporting material. The use of a mixed solvent of γ-butyrolactone and dimethylsulfoxide (DMSO) followed by toluene drop-casting leads to extremely uniform and dense perovskite layers via a CH3NH3I-PbI2-DMSO intermediate phase, and enables the fabrication of remarkably improved solar cells with a certified power-conversion efficiency of 16.2% and no hysteresis. These results provide important progress towards the understanding of the role of soln.-processing in the realization of low-cost and highly efficient perovskite solar cells.
- 2Zhou, H.; Chen, Q.; Li, G.; Luo, S.; Song, T.-b.; Duan, H.-S.; Hong, Z.; You, J.; Liu, Y.; Yang, Y. Interface Engineering of Highly Efficient Perovskite Solar Cells Science 2014, 345, 542 DOI: 10.1126/science.12540502Interface engineering of highly efficient perovskite solar cellsZhou, Huanping; Chen, Qi; Li, Gang; Luo, Song; Song, Tze-bing; Duan, Hsin-Sheng; Hong, Ziruo; You, Jingbi; Liu, Yongsheng; Yang, YangScience (Washington, DC, United States) (2014), 345 (6196), 542-546CODEN: SCIEAS; ISSN:0036-8075. (American Association for the Advancement of Science)Advancing perovskite solar cell technologies toward their theor. power conversion efficiency (PCE) requires delicate control over the carrier dynamics throughout the entire device. By controlling the formation of the perovskite layer and careful choices of other materials, the authors suppressed carrier recombination in the absorber, facilitated carrier injection into the carrier transport layers, and maintained good carrier extn. at the electrodes. When measured via reverse bias scan, cell PCE is typically boosted to 16.6% on av., with the highest efficiency of ~19.3% in a planar geometry without antireflective coating. The fabrication of the perovskite solar cells was conducted in air and from soln. at low temps., which should simplify manufg. of large-area perovskite devices that are inexpensive and perform at high levels.
- 3Ahn, N.; Son, D.-Y.; Jang, I.-H.; Kang, S. M.; Choi, M.; Park, N.-G. Highly Reproducible Perovskite Solar Cells with Average Efficiency of 18.3% and Best Efficiency of 19.7% Fabricated via Lewis Base Adduct of Lead(II) Iodide J. Am. Chem. Soc. 2015, 137, 8696 DOI: 10.1021/jacs.5b049303Highly Reproducible Perovskite Solar Cells with Average Efficiency of 18.3% and Best Efficiency of 19.7% Fabricated via Lewis Base Adduct of Lead(II) IodideAhn, Namyoung; Son, Dae-Yong; Jang, In-Hyuk; Kang, Seong Min; Choi, Mansoo; Park, Nam-GyuJournal of the American Chemical Society (2015), 137 (27), 8696-8699CODEN: JACSAT; ISSN:0002-7863. (American Chemical Society)High efficiency perovskite solar cells were fabricated reproducibly via Lewis base adduct of Pb(II) iodide. PbI2 was dissolved in N,N-dimethyformamide with equimolar N,N-DMSO and CH3NH3I. Stretching vibration of S=O appeared at 1045 cm-1 for bare DMSO, which was shifted to 1020 and 1015 cm-1 upon reacting DMSO with PbI2 and PbI2 + CH3NH3I, resp., indicative of forming the adduct of PbI2·DMSO and CH3NH3I·PbI2·DMSO due to interaction between Lewis base DMSO and/or iodide (I-) and Lewis acid PbI2. Spin-coating of a DMF soln. contg. PbI2, CH3NH3I, and DMSO (1:1:1 mol %) formed a transparent adduct film, which was converted to a dark brown film upon heating at low temp. of 65° for 1 min due to removal of the volatile DMSO from the adduct. The adduct-induced CH3NH3PbI3 exhibited high charge extn. characteristics with hole mobility ≤3.9 × 10-3 cm2/(V s) and slow recombination rate. Av. power conversion efficiency (PCE) of 18.3% was achieved from 41 cells and the best PCE of 19.7% was attained via adduct approach.
- 4Jeon, N. J.; Noh, J. H.; Yang, W. S.; Kim, Y. C.; Ryu, S.; Seo, J.; Seok, S. I. Compositional Engineering of Perovskite Materials for High-performance Solar Cells Nature 2015, 517, 476 DOI: 10.1038/nature141334Compositional engineering of perovskite materials for high-performance solar cellsJeon, Nam Joong; Noh, Jun Hong; Yang, Woon Seok; Kim, Young Chan; Ryu, Seungchan; Seo, Jangwon; Seok, Sang IlNature (London, United Kingdom) (2015), 517 (7535), 476-480CODEN: NATUAS; ISSN:0028-0836. (Nature Publishing Group)Here we combine the promising, owing to its comparatively narrow bandgap, but relatively unstable formamidinium lead iodide (FAPbI3) with methylammonium lead bromide (MAPbBr3) as the light-harvesting unit in a bilayer solar cell architecture. We investigated phase stability, morphol. of the perovskite layer, hysteresis in current-voltage characteristics, and overall performance as a function of chem. compn. Our results show that incorporation of MAPbBr3 into FAPbI3 stabilizes the perovskite phase of FAPbI3 and improves the power conversion efficiency of the solar cell to >18% under a std. illumination of 100 mW/cm2. These findings further emphasize the versatility and performance potential of inorg.-org. lead halide perovskite materials for photovoltaic applications.
- 5Hao, F.; Stoumpos, C. C.; Chang, R. P. H.; Kanatzidis, M. G. Anomalous Band Gap Behavior in Mixed Sn and Pb Perovskites Enables Broadening of Absorption Spectrum in Solar Cells J. Am. Chem. Soc. 2014, 136, 8094 DOI: 10.1021/ja50332595Anomalous Band Gap Behavior in Mixed Sn and Pb Perovskites Enables Broadening of Absorption Spectrum in Solar CellsHao, Feng; Stoumpos, Constantinos C.; Chang, Robert P. H.; Kanatzidis, Mercouri G.Journal of the American Chemical Society (2014), 136 (22), 8094-8099CODEN: JACSAT; ISSN:0002-7863. (American Chemical Society)Perovskite-based solar cells have recently been catapulted to the cutting edge of thin-film photovoltaic research and development because of their promise for high-power conversion efficiencies and ease of fabrication. Two types of generic perovskites compds. have been used in cell fabrication: either Pb- or Sn-based. Here, we describe the performance of perovskite solar cells based on alloyed perovskite solid solns. of methylammonium tin iodide and its lead analog (CH3NH3Sn1-xPbxI3). We exploit the fact that, the energy band gaps of the mixed Pb/Sn compds. do not follow a linear trend (the Vegard's law) in between these two extremes of 1.55 and 1.35 eV, resp., but have narrower band-gap (<1.3 eV), thus extending the light absorption into the near-IR (∼1,050 nm). A series of soln.-processed solid-state photovoltaic devices using a mixt. of org. spiro-OMeTAD/lithium bis(trifluoromethylsulfonyl)imide/pyridinium additives as hole transport layer were fabricated and studied as a function of Sn to Pb ratio. Our results show that CH3NH3Sn0.5Pb0.5I3 has the broadest light absorption and highest short-circuit photocurrent d. ∼20 mA/cm2 (obtained under simulated full sunlight of 100 mW/cm2).
- 6Noh, J. H.; Im, S. H.; Heo, J. H.; Mandal, T. N.; Seok, S. I. Chemical Management for Colorful, Efficient, and Stable Inorganic-organic Hybrid Nanostructured Solar Cells Nano Lett. 2013, 13, 1764 DOI: 10.1021/nl400349b6Chemical Management for Colorful, Efficient, and Stable Inorganic-Organic Hybrid Nanostructured Solar CellsNoh, Jun Hong; Im, Sang Hyuk; Heo, Jin Hyuck; Mandal, Tarak N.; Seok, Sang IlNano Letters (2013), 13 (4), 1764-1769CODEN: NALEFD; ISSN:1530-6984. (American Chemical Society)Chem. tuned inorg.-org. hybrid materials, based on MeNH3(=MA)Pb(I1-xBrx)3 perovskites, have been studied using UV-visible absorption and x-ray diffraction patterns and applied to nanostructured solar cells. The band gap engineering brought about by the chem. management of MAPb(I1-xBrx)3 perovskites can be controllably tuned to cover almost the entire visible spectrum, enabling the realization of colorful solar cells. The authors demonstrate highly efficient solar cells exhibiting 12.3% in a power conversion efficiency of under std. AM 1.5, for the most efficient device, as a result of tunable compn. for the light harvester in conjunction with a mesoporous TiO2 film and a hole conducting polymer. Probably the works highlighted in this paper represent one step toward the realization of low-cost, high-efficiency, and long-term stability with colorful solar cells.
- 7Sadhanala, A.; Deschler, F.; Thomas, T. H.; Dutton, S. E.; Goedel, K. C.; Hanusch, F. C.; Lai, M. L.; Steiner, U.; Bein, T.; Docampo, P. Preparation of Single Phase Films of CH3NH3Pb(I1–xBrx)3 with Sharp Optical Band Edges J. Phys. Chem. Lett. 2014, 5, 2501 DOI: 10.1021/jz501332v7Preparation of Single-Phase Films of CH3NH3Pb(I1-xBrx)3 with Sharp Optical Band EdgesSadhanala, Aditya; Deschler, Felix; Thomas, Tudor H.; Dutton, Sian E.; Goedel, Karl C.; Hanusch, Fabian C.; Lai, May L.; Steiner, Ullrich; Bein, Thomas; Docampo, Pablo; Cahen, David; Friend, Richard H.Journal of Physical Chemistry Letters (2014), 5 (15), 2501-2505CODEN: JPCLCD; ISSN:1948-7185. (American Chemical Society)Organometallic lead-halide perovskite-based solar cells now approach 18% efficiency. Introducing a mixt. of bromide and iodide in the halide compn. allows tuning of the optical bandgap. We prep. mixed bromide-iodide lead perovskite films CH3NH3Pb(I1-xBrx)3 (0 ≤ x ≤ 1) by spin-coating from soln. and obtain films with monotonically varying bandgaps across the full compn. range. Photothermal deflection spectroscopy, photoluminescence, and x-ray diffraction show that following suitable fabrication protocols these mixed lead-halide perovskite films form a single phase. The optical absorption edge of the pure tri-iodide and tribromide perovskites is sharp with Urbach energies of 15 and 23 meV, resp., and reaches a max. of 90 meV for CH3NH3PbI1.2Br1.8. We demonstrate a bromide-iodide lead perovskite film (CH3NH3PbI1.2Br1.8) with an optical bandgap of 1.94 eV, which is optimal for tandem cells of these materials with cryst. silicon devices.
- 8Kulkarni, S. A.; Baikie, T.; Boix, P. P.; Yantara, N.; Mathews, N.; Mhaisalkar, S. Band-gap Tuning of Lead Halide Perovskites Using a Sequential Deposition Process J. Mater. Chem. A 2014, 2, 9221 DOI: 10.1039/C4TA00435C8Band-gap tuning of lead halide perovskites using a sequential deposition processKulkarni, Sneha A.; Baikie, Tom; Boix, Pablo P.; Yantara, Natalia; Mathews, Nripan; Mhaisalkar, SubodhJournal of Materials Chemistry A: Materials for Energy and Sustainability (2014), 2 (24), 9221-9225CODEN: JMCAET; ISSN:2050-7496. (Royal Society of Chemistry)Band-gap tuning of mixed anion lead halide perovskites (MAPb(I1-xBrx)2 (0 ≤ x ≤ 1)) has been demonstrated by means of a sequential deposition process. The optical properties of perovskite hybrids can be flexibly modified by changing (mixing) the concn. of halogen precursors. The concns. of precursor soln. as well as the conversion time play an important role in detg. the band-gap of perovskites. A systematic shift of the absorption band edge to shorter wavelengths is obsd. with increasing Br content in the perovskite films, which results in the decrement of the photocurrent. Nanorod like morphol. features are also obsd. for perovskite films with an iodide to bromide molar ratio of <0.7.
- 9Fedeli, P.; Gazza, F.; Calestani, D.; Ferro, P.; Besagni, T.; Zappettini, A.; Calestani, G.; Marchi, E.; Ceroni, P.; Mosca, R. Influence of the Synthetic Procedures on the Structural and Optical Properties of Mixed-Halide (Br,I) Perovskite Films J. Phys. Chem. C 2015, 119, 21304 DOI: 10.1021/acs.jpcc.5b03923There is no corresponding record for this reference.
- 10Ledinský, M.; Löper, P.; Niesen, B.; Holovský, J.; Moon, S.-J.; Yum, J.-H.; De Wolf, S.; Fejfar, A.; Ballif, C. Raman Spectroscopy of Organic Inorganic Halide Perovskites J. Phys. Chem. Lett. 2015, 6, 401 DOI: 10.1021/jz502632310Raman Spectroscopy of Organic-Inorganic Halide PerovskitesLedinsky, Martin; Loper, Philipp; Niesen, Bjoern; Holovsky, Jakub; Moon, Soo-Jin; Yum, Jun-Ho; De Wolf, Stefaan; Fejfar, Antonin; Ballif, ChristopheJournal of Physical Chemistry Letters (2015), 6 (3), 401-406CODEN: JPCLCD; ISSN:1948-7185. (American Chemical Society)Micro-Raman spectroscopy provides laterally resolved microstructural information for a broad range of materials. In this Letter, we apply this technique to tri-iodide (CH3NH3PbI3), tribromide (CH3NH3PbBr3), and mixed iodide-bromide (CH3NH3PbI3-xBrx) org.-inorg. halide perovskite thin films and discuss necessary conditions to obtain reliable data. We explain how to measure Raman spectra of pristine CH3NH3PbI3 layers and discuss the distinct Raman bands that develop during moisture-induced degrdn. We also prove unambiguously that the final degrdn. products contain pure PbI2. Moreover, we describe CH3NH3PbI3-xBrx Raman spectra and discuss how the perovskite crystallog. symmetries affect the Raman band intensities and spectral shapes. On the basis of the dependence of the Raman shift on the iodide-to-bromide ratio, we show that Raman spectroscopy is a fast and nondestructive method for the evaluation of the relative iodide-to-bromide ratio.
- 11Gil-Escrig, L.; Miquel-Sempere, A.; Sessolo, M.; Bolink, H. J. Mixed Iodide-bromide Methylammonium Lead Perovskite-based Diodes for Light Emission and Photovoltaics J. Phys. Chem. Lett. 2015, 6, 3743 DOI: 10.1021/acs.jpclett.5b0171611Mixed Iodide-Bromide Methylammonium Lead Perovskite-based Diodes for Light Emission and PhotovoltaicsGil-Escrig, Lidon; Miquel-Sempere, Araceli; Sessolo, Michele; Bolink, Henk J.Journal of Physical Chemistry Letters (2015), 6 (18), 3743-3748CODEN: JPCLCD; ISSN:1948-7185. (American Chemical Society)Vacuum deposition techniques are used to prep. mixed iodide-bromide methylammonium lead perovskite diodes via an intermediate double layer of the pure iodide and bromide perovskites. The diodes lead to bright electroluminescence, whose emission spectra maxima shift from the IR toward the visible with increasing bromide content. When illuminated with AM1.5 simulated sunlight the devices function as efficient solar cells with power conversion efficiencies as high as 12.9%.
- 12Egger, D. A.; Edri, E.; Cahen, D.; Hodes, G. Perovskite Solar Cells: Do We Know What We Do Not Know? J. Phys. Chem. Lett. 2015, 6, 279 DOI: 10.1021/jz502726b12Perovskite Solar Cells: Do We Know What We Do Not Know?Egger, David A.; Edri, Eran; Cahen, David; Hodes, GaryJournal of Physical Chemistry Letters (2015), 6 (2), 279-282CODEN: JPCLCD; ISSN:1948-7185. (American Chemical Society)There is no expanded citation for this reference.
- 13Hoke, E. T.; Slotcavage, D. J.; Dohner, E. R.; Bowring, A. R.; Karunadasa, H. I.; McGehee, M. D. Reversible Photo-induced Trap Formation in Mixed-halide Hybrid Perovskites for Photovoltaics Chem. Sci. 2015, 6, 613 DOI: 10.1039/C4SC03141E13Reversible photo-induced trap formation in mixed-halide hybrid perovskites for photovoltaicsHoke, Eric T.; Slotcavage, Daniel J.; Dohner, Emma R.; Bowring, Andrea R.; Karunadasa, Hemamala I.; McGehee, Michael D.Chemical Science (2015), 6 (1), 613-617CODEN: CSHCCN; ISSN:2041-6520. (Royal Society of Chemistry)We report on reversible, light-induced transformations in (CH3NH3)Pb(BrxI1-x)3. Photoluminescence (PL) spectra of these perovskites develop a new, red-shifted peak at 1.68 eV that grows in intensity under const., 1-sun illumination in less than a minute. This is accompanied by an increase in sub-bandgap absorption at ∼1.7 eV, indicating the formation of luminescent trap states. Light soaking causes a splitting of X-ray diffraction (XRD) peaks, suggesting segregation into two cryst. phases. Surprisingly, these photo-induced changes are fully reversible; the XRD patterns and the PL and absorption spectra revert to their initial states after the materials are left for a few minutes in the dark. We speculate that photoexcitation may cause halide segregation into iodide-rich minority and bromide-enriched majority domains, the former acting as a recombination center trap. This instability may limit achievable voltages from some mixed-halide perovskite solar cells and could have implications for the photostability of halide perovskites used in optoelectronics.
- 14Niemann, R. G.; Kontos, A. G.; Palles, D.; Kamitsos, E. I.; Kaltzoglou, A.; Brivio, F.; Falaras, P.; Cameron, P. J. Halogen Effects on Ordering and Bonding of CH3NH3+ in CH3NH3PbX3 (X= Cl, Br, I) Hybrid Perovskites: A Vibrational Spectroscopic Study J. Phys. Chem. C 2016, 120, 2509 DOI: 10.1021/acs.jpcc.5b1125614Halogen Effects on Ordering and Bonding of CH3NH3+ in CH3NH3PbX3 (X = Cl, Br, I) Hybrid Perovskites: A Vibrational Spectroscopic StudyNiemann, Ralf G.; Kontos, Athanassios G.; Palles, Dimitrios; Kamitsos, Efstratios I.; Kaltzoglou, Andreas; Brivio, Federico; Falaras, Polycarpos; Cameron, Petra J.Journal of Physical Chemistry C (2016), 120 (5), 2509-2519CODEN: JPCCCK; ISSN:1932-7447. (American Chemical Society)This study reports Raman and IR spectra of hybrid org.-inorg. MAPbX3 perovskites (MA = CH3NH3, X = Cl, Br, I) and their mixed-halide derivs. Raman spectra were recorded at three laser wavelengths (514, 785, and 1064 nm) under on- and off-resonance conditions, as well as at room temp. and 100 K. The use of different excitation wavelengths allowed the unambiguous acquisition of "true" Raman spectra from the perovskites, without degrdn. or photoinduced structural changes. Low-frequency PbX vibrational modes were thoroughly identified by comparison of Raman and far-IR results. Red Raman frequency shifts for almost all MA vibrations from 200 to 3200 cm-1, and particularly intense for the torsional mode, were obsd. toward heavy halide derivs., indicative of strengthening the interaction between halides and the org. cation inside the inorg. cage. Different MA-X bonding schemes are evidenced by torsional mode pairs emerging in the orthorhombic phase. MAPbBr3 was further characterized by variable temp. Raman measurements (100-295 K). Broadening of the MA rocking mode slightly above the tetragonal I to II phase transition is connected with disorder of the MA cation. Our results advance the understanding of perovksite materials properties (ferroelec. domain formation, anomalous hysteresis) and their use as efficient light absorbers in solar cells.
- 15Xiao, Z.; Yuan, Y.; Shao, Y.; Wang, Q.; Dong, Q.; Bi, C.; Sharma, P.; Gruverman, A.; Huang, J. Giant Switchable Photovoltaic Effect in Organometal Trihalide Perovskite Devices Nat. Mater. 2015, 14, 193 DOI: 10.1038/nmat415015Giant switchable photovoltaic effect in organometal trihalide perovskite devicesXiao, Zhengguo; Yuan, Yongbo; Shao, Yuchuan; Wang, Qi; Dong, Qingfeng; Bi, Cheng; Sharma, Pankaj; Gruverman, Alexei; Huang, JinsongNature Materials (2015), 14 (2), 193-198CODEN: NMAACR; ISSN:1476-1122. (Nature Publishing Group)Organolead trihalide perovskite (OTP) materials are emerging as naturally abundant materials for low-cost, soln.-processed and highly efficient solar cells. Here, we show that, in OTP-based photovoltaic devices with vertical and lateral cell configurations, the photocurrent direction can be switched repeatedly by applying a small elec. field of <1 V μm-1. The switchable photocurrent, generally obsd. in devices based on ferroelec. materials, reached 20.1 mA cm-2 under one sun illumination in OTP devices with a vertical architecture, which is four orders of magnitude larger than that measured in other ferroelec. photovoltaic devices. This field-switchable photovoltaic effect can be explained by the formation of reversible p-i-n structures induced by ion drift in the perovskite layer. The demonstration of switchable OTP photovoltaics and elec.-field-manipulated doping paves the way for innovative solar cell designs and for the exploitation of OTP materials in elec. and optically readable memristors and circuits.
- 16Yuan, Y.; Huang, J. Ion Migration in Organometal Trihalide Perovskite and Its Impact on Photovoltaic Efficiency and Stability Acc. Chem. Res. 2016, 49, 286 DOI: 10.1021/acs.accounts.5b0042016Ion Migration in Organometal Trihalide Perovskite and Its Impact on Photovoltaic Efficiency and StabilityYuan, Yongbo; Huang, JinsongAccounts of Chemical Research (2016), 49 (2), 286-293CODEN: ACHRE4; ISSN:0001-4842. (American Chemical Society)A review. Organometal trihalide perovskites (OTPs) are emerging as very promising photovoltaic materials because the power conversion efficiency (PCE) of OTP solar cells quickly rises and now rivals with that of single crystal silicon solar cells after only five-years research. Their prospects to replace silicon photovoltaics to reduce the cost of renewable clean energy are boosted by the low-temp. soln. processing as well as the very low-cost raw materials and relative insensitivity to defects. The flexibility, semitransparency, and vivid colors of perovskite solar cells are attractive for niche applications such as built-in photovoltaics and portable lightwt. chargers. However, the low stability of current hybrid perovskite solar cells remains a serious issue to be solved before their broad application. Among all those factors that affect the stability of perovskite solar cells, ion migration in OTPs may be intrinsic and cannot be taken away by device encapsulation.The presence of ion migration has received broad attention after the report of photocurrent hysteresis in OTP based solar cells. As suggested by much direct and indirect exptl. evidence, the ion migration is speculated to be the origin or an important contributing factor for many obsd. unusual phenomenon in OTP materials and devices, such as current-voltage hysteresis, switchable photovoltaic effect, giant dielec. const., diminished transistor behavior at room temp., photoinduced phase sepn., photoinduced self-poling effect, and elec.-field driven reversible conversion between lead iodide (PbI2) and methylammonium lead triiodide (MAPbI3). Undoubtedly thorough insight into the ion-migration mechanism is highly desired for the development of OTP based devices to improve intrinsic stability in the dark and under illumination. In this Account, we critically review the recent progress in understanding the fundamental science on ion migration in OTP based solar cells. We look into both theor. and expt. advances in answering these basic questions: Does ion migration occur and cause the photocurrent hysteresis in perovskite solar cells. What are the migrating ion species. How do ions migrate. How does ion migration impact the device efficiency and stability. How can ion migration be mitigated or eliminated. We also raise some questions that need to be understood and addressed in the future.
- 17Mosconi, E.; Amat, A.; Nazeeruddin, M. K.; Grätzel, M.; De Angelis, F. First Principles Modeling of Mixed Halde Organometal Perovskites for Photovoltaic Applications J. Phys. Chem. C 2013, 117, 13902 DOI: 10.1021/jp4048659There is no corresponding record for this reference.
- 18Yin, W.-J.; Yan, Y.; Wei, S.-H. Anomalous Alloy Properties in Mixed Halide Perovskites J. Phys. Chem. Lett. 2014, 5, 3625 DOI: 10.1021/jz501896w18Anomalous Alloy Properties in Mixed Halide PerovskitesYin, Wan-Jian; Yan, Yanfa; Wei, Su-HuaiJournal of Physical Chemistry Letters (2014), 5 (21), 3625-3631CODEN: JPCLCD; ISSN:1948-7185. (American Chemical Society)Engineering halide perovskite through mixing halogen elements, such as CH3NH3PbI3-xClx and CH3NH3PbI3-xBrx, is a viable way to tune its electronic and optical properties. Despite many emerging expts. on mixed halide perovskites, the basic electronic and structural properties of the alloys were not understood and some crucial questions remain, for example, how much Cl can be incorporated into CH3NH3PbI3 is still unclear. In this Letter, the authors chose CsPbX3 (X = I, Br, Cl) as an example and use a 1st-principle calcn. together with cluster-expansion methods to systematically study the structural, electronic, and optical properties of mixed halide perovskites and find that unlike conventional semiconductor alloys, they exhibit many anomalous alloy properties such as small or even neg. formation energies at some concns. and negligible or even neg. band gap bowing parameters at high temp. Further mixed-(I,Cl) perovskite is hard to form at temp. <625 K, whereas forming mixed-(Br,Cl) and (I,Br) alloys are easy at room temp.
- 19Onoda-Yamamuro, N.; Matsuo, T.; Suga, H. Calorimetric and IR Spectroscopic Studies of Phase Transitions in Methylammonium Trihalogenoplumbates (II) J. Phys. Chem. Solids 1990, 51, 1383 DOI: 10.1016/0022-3697(90)90021-719Calorimetric and IR spectroscopic studies of phase transitions in methylammonium trihaloplumbates(II)Onoda-Yamamuro, Noriko; Matsuo, Takasuke; Suga, HiroshiJournal of Physics and Chemistry of Solids (1990), 51 (12), 1383-95CODEN: JPCSAW; ISSN:0022-3697.Heat capacities of CH3NH3PbX3(X = Cl, Br, I) were measured at 13-300 K (365 K for the I). Two anomalies were found in the Cl and the I, and 3 in the Br. All the phase transitions were of the 1st order, although the highest temp. transitions in the Br and the I were close to 2nd order. Their temps. and entropies are given.
- 20Shannon, R. D. Revised Effective Ionic Radii and Systematic Studies of Interatomic Distances in Halides and Chalcogenides Acta Crystallogr., Sect. A: Cryst. Phys., Diffr., Theor. Gen. Crystallogr. 1976, 32, 751 DOI: 10.1107/S0567739476001551There is no corresponding record for this reference.
- 21Sher, A.; van Schilfgaarde, M.; Chen, A.-B.; Chen, W. Quasichemical Approximation in Binary Alloys Phys. Rev. B: Condens. Matter Mater. Phys. 1987, 36, 4279 DOI: 10.1103/PhysRevB.36.4279There is no corresponding record for this reference.
- 22Stringfellow, G. Calculation of Ternary and Quaternary III-V Phase Diagrams J. Cryst. Growth 1974, 27, 21 DOI: 10.1016/S0022-0248(74)80047-322Calculation of ternary and quaternary III-V phase diagramsStringfellow, G. B.Journal of Crystal Growth (1974), 27 (), 21-34CODEN: JCRGAE; ISSN:0022-0248.The models used to calc. binary and ternary III-V phase diagrams are reviewed. The simple solns. moel with Ω = a - bT is found to satisfactorily describe the liq. phase and the solid phase is adequately described using the regular soln. model. The DLP (delta lattice parameter) model of the solid, based on the concept that the bonding in alloys is detd. largely by the energy of the electrons, is found to be capable of predicting accurately the magnitudes of the solid interaction parameters knowing only the lattice parameters of the pure III-V compds. The simple soln. model with Ω = a - βT for the liq. and DLP model for the solid is then used in the calcn. of the quaternary III-V phase diagrams. One outcome of the calcn. is the establishment of a condition which can be used to check the consistency of the parameters ΔHF, TF, and Ω1 of the four solid III-V compds. bounding the solid phase field, against the soln. model. The agreement of the calcd. quaternary results with expt. in the GaxIn1-xAs1-y system is satisfactory. In the AlxGa1-xPyAs1-y system, the consistency condition is not satisfied, and thus the calcn. cannot agree with previous ternary calcns. for the (Al,Ga)As, (Al,Ga)P and Ga(As,P) systems simultaneously. Parameters were chosen so that good agreement is established with all except the (Al,Ga)P ternary.
- 23Yang, T.-Y.; Gregori, G.; Pellet, N.; Grätzel, M.; Maier, J. The Significance of Ion Conduction in a Hybrid Organic-Inorganic Lead-Iodide-Based Perovskite Photosensitizer Angew. Chem., Int. Ed. 2015, 54, 7905 DOI: 10.1002/anie.20150001423The Significance of Ion Conduction in a Hybrid Organic-Inorganic Lead Iodide-Based Perovskite PhotosensitizerYang, Tae-Youl; Gregori, Giuliano; Pellet, Norman; Graetzel, Michael; Maier, JoachimAngewandte Chemie, International Edition (2015), 54 (27), 7905-7910CODEN: ACIEF5; ISSN:1433-7851. (Wiley-VCH Verlag GmbH & Co. KGaA)The success of perovskite solar cells has sparked excitement in the photovoltaic community not only because of unexpectedly high efficiencies but also because of the future potential ascribed to such cryst. absorber materials. Far from being exhaustively studied in terms of solid-state properties, these materials surprised by anomalies such as a huge apparent low-frequency dielec. const. and pronounced hysteretic current-voltage behavior. Methylammonium (but also formamidinium) iodoplumbates are mixed conductors with a large fraction of ion conduction because of I ions. In particular, the authors measure and model the stoichiometric polarization caused by the mixed conduction and demonstrate that the above anomalies can be explained by the build-up of stoichiometric gradients as a consequence of ion blocking interfaces. These findings provide insight into elec. charge transport in the hybrid org.-inorg. lead halide solar cells as well as into new possibilities of improving the photovoltaic performance by controlling the ionic disorder.
- 24Zhang, Y.; Liu, M.; Eperon, G. E.; Leijtens, T. C.; McMeekin, D.; Saliba, M.; Zhang, W.; De Bastiani, M.; Petrozza, A.; Herz, L. M. Charge Selective Contacts, Mobile Ions and Anomalous Hysteresis in Organic-Inorganic Perovskite Solar Cells Mater. Horiz. 2015, 2, 315 DOI: 10.1039/C4MH00238E24Charge selective contacts, mobile ions and anomalous hysteresis in organic-inorganic perovskite solar cellsZhang, Ye; Liu, Mingzhen; Eperon, Giles E.; Leijtens, Tomas C.; McMeekin, David; Saliba, Michael; Zhang, Wei; de Bastiani, Michele; Petrozza, Annamaria; Herz, Laura M.; Johnston, Michael B.; Lin, Hong; Snaith, Henry J.Materials Horizons (2015), 2 (3), 315-322CODEN: MHAOBM; ISSN:2051-6355. (Royal Society of Chemistry)High-efficiency perovskite solar cells typically employ an org.-inorg. metal halide perovskite material as light absorber and charge transporter, sandwiched between a p-type electron-blocking org. hole-transporting layer and an n-type hole-blocking electron collection titania compact layer. Some device configurations also include a thin mesoporous layer of TiO2 or Al2O3 which is infiltrated and capped with the perovskite absorber. Herein, we demonstrate that it is possible to fabricate planar and mesoporous perovskite solar cells devoid of an electron selective hole-blocking titania compact layer, which momentarily exhibit power conversion efficiencies (PCEs) of over 13%. This performance is however not sustained and is related to the previously obsd. anomalous hysteresis in perovskite solar cells. The "compact layer-free" meso-superstructured perovskite devices yield a stabilized PCE of only 2.7% while the compact layer-free planar heterojunction devices display no measurable steady state power output when devoid of an electron selective contact. In contrast, devices including the titania compact layer exhibit stabilized efficiency close to that derived from the current voltage measurements. We propose that under forward bias the perovskite diode becomes polarised, providing a beneficial field, allowing accumulation of pos. and neg. space charge near the contacts, which enables more efficient charge extn. This provides the required built-in potential and selective charge extn. at each contact to temporarily enable efficient operation of the perovskite solar cells even in the absence of charge selective n- and p-type contact layers. The polarisation of the material is consistent with long range migration and accumulation of ionic species within the perovskite to the regions near the contacts. When the external field is reduced under working conditions, the ions can slowly diffuse away from the contacts redistributing throughout the film, reducing the field asymmetry and the effectiveness of the operation of the solar cells. We note that in light of recent publications showing high efficiency in devices devoid of charge. selective contacts, this work reaffirms the abs. necessity to measure and report the stabilized power output under load when characterizing perovskite solar cells.
- 25Eames, C.; Frost, J. M.; Barnes, P. R. F.; O’Regan, B. C.; Walsh, A.; Islam, M. S. Ionic Transport in Hybrid Lead Iodide Perovskite Solar Cells Nat. Commun. 2015, 6, 7497 DOI: 10.1038/ncomms849725Ionic transport in hybrid lead iodide perovskite solar cellsEames, Christopher; Frost, Jarvist M.; Barnes, Piers R. F.; O'Regan, Brian C.; Walsh, Aron; Islam, M. SaifulNature Communications (2015), 6 (), 7497CODEN: NCAOBW; ISSN:2041-1723. (Nature Publishing Group)Solar cells based on org.-inorg. halide perovskites have recently shown rapidly rising power conversion efficiencies, but exhibit unusual behavior such as current-voltage hysteresis and a low-frequency giant dielec. response. Ionic transport has been suggested to be an important factor contributing to these effects; however, the chem. origin of this transport and the mobile species are unclear. Here, the activation energies for ionic migration in methylammonium lead iodide (CH3NH3PbI3) are derived from first principles, and are compared with kinetic data extd. from the current-voltage response of a perovskite-based solar cell. We identify the microscopic transport mechanisms, and find facile vacancy-assisted migration of iodide ions with an activation energy of 0.6 eV, in good agreement with the kinetic measurements. The results of this combined computational and exptl. study suggest that hybrid halide perovskites are mixed ionic-electronic conductors, a finding that has major implications for solar cell device architectures.
- 26Haruyama, J.; Sodeyama, K.; Han, L.; Tateyama, Y. First-Principles Study of Ion Diffusion in Perovskite Solar Cell Sensitizers J. Am. Chem. Soc. 2015, 137, 10048 DOI: 10.1021/jacs.5b0361526First-Principles Study of Ion Diffusion in Perovskite Solar Cell SensitizersHaruyama, Jun; Sodeyama, Keitaro; Han, Liyuan; Tateyama, YoshitakaJournal of the American Chemical Society (2015), 137 (32), 10048-10051CODEN: JACSAT; ISSN:0002-7863. (American Chemical Society)Hysteresis in current-voltage curves has been an important issue for conversion efficiency evaluation and development of perovskite solar cells (PSCs). In this study, we explored the ion diffusion effects in tetragonal CH3NH3PbI3 (MAPbI3) and trigonal (NH2)2CHPbI3 (FAPbI3) by first-principles calcns. The calcd. activation energies of the anionic and cationic vacancy migrations clearly show that I- anions in both MAPbI3 and FAPbI3 can easily diffuse with low barriers of ca. 0.45 eV, comparable to that obsd. in ion-conducting materials. More interestingly, typical MA+ cations and larger FA+ cations both have rather low barriers as well, indicating that the cation mols. can migrate in the perovskite sensitizers when a bias voltage is applied. These results can explain the ion displacement scenario recently proposed by expts. With the dil. diffusion theory, we discuss that smaller vacancy concns. (higher crystallinity) and replacement of MA+ with larger cation mols. will be essential for suppressing hysteresis as well as preventing aging behavior of PSC photosensitizers.
- 27Azpiroz, J. M.; Mosconi, E.; Bisquert, J.; De Angelis, F. Defects Migration in Methylammonium Lead Iodide and their Role in Perovskite Solar Cells Operation Energy Environ. Sci. 2015, 8, 2118 DOI: 10.1039/C5EE01265A27Defect migration in methylammonium lead iodide and its role in perovskite solar cell operationAzpiroz, Jon M.; Mosconi, Edoardo; Bisquert, Juan; De Angelis, FilippoEnergy & Environmental Science (2015), 8 (7), 2118-2127CODEN: EESNBY; ISSN:1754-5706. (Royal Society of Chemistry)In spite of the unprecedented advance of organohalide lead perovskites in the photovoltaics scenario, many of the characteristics of this class of materials, including their slow photocond. response, solar cell hysteresis, and switchable photocurrent, remain poorly understood. Many exptl. hints point to defect migration as a plausible mechanism underlying these anomalous properties. By means of state-of-the-art first-principles computational analyses carried out on the tetragonal MAPbI3 (MA = methylammonium) perovskite and on its interface with TiO2, we demonstrate that iodine vacancies and interstitials may easily diffuse across the perovskite crystal, with migration activation energies as low as ∼0.1 eV. Under working conditions, iodine-related defects are predicted to migrate at the electrodes on very short time scales (<1 μs). MA and Pb vacancies, with calcd. activation barriers of ∼0.5 and 0.8 eV, resp., could be responsible for the slow response inherent to perovskites, with typical calcd. migration times of the order of tens of ms to minutes. By investigating realistic models of the perovskite/TiO2 interface we show that neg. charged defects, e.g. MA vacancies, close to the electron transport layer (TiO2 in our case) modify the perovskite electronic state landscape, hampering charge extn. at selective contacts, thus possibly contributing to the obsd. solar cell hysteresis. We further demonstrate the role of the electron transport layer in affecting the initial concn. of defects close to the selective contacts, highlighting how charge sepn. at the perovskite/TiO2 interface may further change the defect distribution. We believe that this work, identifying the mobile species in perovskite solar cells, their migration across the perovskite material, and their effect on the operational mechanism of the device, may pave the way for the development of new materials and solar cell architectures with improved and stabilized efficiencies.
- 28Hentz, O.; Zhao, Z.; Gradecak, S. Impacts of Ion Segregation on Local Optical Properties in Mixed Halide Perovskite Films Nano Lett. 2016, 16, 1485 DOI: 10.1021/acs.nanolett.5b0518128Impacts of Ion Segregation on Local Optical Properties in Mixed Halide Perovskite FilmsHentz, Olivia; Zhao, Zhibo; Gradecak, SilvijaNano Letters (2016), 16 (2), 1485-1490CODEN: NALEFD; ISSN:1530-6984. (American Chemical Society)Despite the recent astronomical success of org.-inorg. perovskite solar cells (PSCs), the impact of microscale film inhomogeneities on device performance remains poorly understood. In this work, we study CH3NH3PbI3 perovskite films using cathodoluminescence in scanning transmission electron microscopy and show that localized regions with increased cathodoluminescence intensity correspond to iodide-enriched regions. These observations constitute direct evidence that nanoscale stoichiometric variations produce corresponding inhomogeneities in film cathodoluminescence intensity. Moreover, we observe the emergence of high-energy transitions attributed to beam induced iodide segregation, which may mirror the effects of ion migration during PSC operation. Our results demonstrate that such ion segregation can fundamentally change the local optical and microstructural properties of org.-inorg. perovskite films in the course of normal device operation and therefore address the obsd. complex and unpredictable behavior in PSC devices.
- 29Shi, J.; Xu, X.; Zhang, H.; Luo, Y.; Li, D.; Meng, Q. Intrinsic Slow Charge Response in the Perovskite Solar Cells: Electron and Ion Transport Appl. Phys. Lett. 2015, 107, 163901 DOI: 10.1063/1.4934633There is no corresponding record for this reference.
- 30Teles, L. K.; Furthmüller, J.; Scolfaro, L. M. R.; Leite, J. R.; Bechstedt, F. First-principles Calculations of the Thermodynamic and Structural Properties of Strained InxGa1–xN and AlxGa1–xN Alloys Phys. Rev. B: Condens. Matter Mater. Phys. 2000, 62, 2475 DOI: 10.1103/PhysRevB.62.247530First-principles calculations of the thermodynamic and structural properties of strained InxGa1-xN and AlxGa1-xN alloysTeles, L. K.; Furthmuller, J.; Scolfaro, L. M. R.; Leite, J. R.; Bechstedt, F.Physical Review B: Condensed Matter and Materials Physics (2000), 62 (4), 2475-2485CODEN: PRBMDO; ISSN:0163-1829. (American Physical Society)We present first-principles calcns. of the thermodn. and structural properties of cubic InxGa1-xN and AlxGa1-xN alloys. They are based on the generalized quasi-chem. approach to disorder and compn. effects and a pseudopotential-plane-wave approxn. for the total energy. The cluster treatment is generalized to study the influence of biaxial strain. We find a remarkable suppression of phase sepn. in InxGa1-xN.
- 31Schleife, A.; Eisenacher, M.; Rödl, C.; Fuchs, F.; Furthmüller, J.; Bechstedt, F. Ab initio Description of Heterostructural Alloys: Thermodynamic and Structural Properties of MgxZn1–xO and CdxZn1–xO Phys. Rev. B: Condens. Matter Mater. Phys. 2010, 81, 245210 DOI: 10.1103/PhysRevB.81.245210There is no corresponding record for this reference.
- 32Kohn, W.; Sham, L. J. Self-consistent Equations Including Exchange and Correlation Effects Phys. Rev. 1965, 140, A1133 DOI: 10.1103/PhysRev.140.A1133There is no corresponding record for this reference.
- 33Frost, J. M.; Butler, K. T.; Brivio, F.; Hendon, C. H.; van Schilfgaarde, M.; Walsh, A. Atomistic Origins of High-Performance in Hybrid Halide Perovskite Solar Cells Nano Lett. 2014, 14, 2584 DOI: 10.1021/nl500390f33Atomistic Origins of High-Performance in Hybrid Halide Perovskite Solar CellsFrost, Jarvist M.; Butler, Keith T.; Brivio, Federico; Hendon, Christopher H.; van Schilfgaarde, Mark; Walsh, AronNano Letters (2014), 14 (5), 2584-2590CODEN: NALEFD; ISSN:1530-6984. (American Chemical Society)The performance of organometallic perovskite solar cells has rapidly surpassed that of both conventional dye-sensitized and org. photovoltaics. High-power conversion efficiency can be realized in both mesoporous and thin-film device architectures. The authors address the origin of this success in the context of the materials chem. and physics of the bulk perovskite as described by electronic structure calcns. In addn. to the basic optoelectronic properties essential for an efficient photovoltaic device (spectrally suitable band gap, high optical absorption, low carrier effective masses), the materials are structurally and compositionally flexible. As the authors show, hybrid perovskites exhibit spontaneous elec. polarization; the authors also suggest ways in which this can be tuned through judicious choice of the org. cation. The presence of ferroelec. domains will result in internal junctions that may aid sepn. of photoexcited electron and hole pairs, and redn. of recombination through segregation of charge carriers. The combination of high dielec. const. and low effective mass promotes both Wannier-Mott exciton sepn. and effective ionization of donor and acceptor defects. The photoferroic effect could be exploited in nanostructured films to generate a higher open circuit voltage and may contribute to the current-voltage hysteresis obsd. in perovskite solar cells.
- 34Brivio, F.; Frost, J. M.; Skelton, J. M.; Jackson, A. J.; Weber, O. J.; Weller, M. T.; Goni, A. R.; Leguy, A. M. A.; Barnes, P. R. F.; Walsh, A. Lattice Dynamics and Vibrational Spectra of the Orthorhombic, Tetragonal, and Cubic Phases of Methylammonium Lead Iodide Phys. Rev. B: Condens. Matter Mater. Phys. 2015, 92, 144308 DOI: 10.1103/PhysRevB.92.14430834Lattice dynamics and vibrational spectra of the orthorhombic, tetragonal, and cubic phases of methylammonium lead iodideBrivio, Federico; Frost, Jarvist M.; Skelton, Jonathan M.; Jackson, Adam J.; Weber, Oliver J.; Weller, Mark T.; Goni, Alejandro R.; Leguy, Aurelien M. A.; Barnes, Piers R. F.; Walsh, AronPhysical Review B: Condensed Matter and Materials Physics (2015), 92 (14), 144308/1-144308/8CODEN: PRBMDO; ISSN:1098-0121. (American Physical Society)The hybrid halide perovskite CH3NH3PbI3 exhibits a complex structural behavior, with successive transitions between orthorhombic, tetragonal, and cubic polymorphs around 165 and 327 K. Herein we report first-principles lattice dynamics (phonon spectrum) for each phase of CH3NH3PbI3. The equil. structures compare well to solns. of temp.-dependent powder neutron diffraction. By following the normal modes, we calc. IR and Raman intensities of the vibrations, and compare them to the measurement of a single crystal where the Raman laser is controlled to avoid degrdn. of the sample. Despite a clear sepn. in energy between low-frequency modes assocd. with the inorg. (PbI3-)n network and high-frequency modes of the org. CH3NH3+ cation, significant coupling between them is found, which emphasizes the interplay between mol. orientation and the corner-sharing octahedral networks in the structural transformations. Soft modes are found at the boundary of the Brillouin zone of the cubic phase, consistent with displacive instabilities and anharmonicity involving tilting of the PbI6 octahedra around room temp.
- 35Grau-Crespo, R.; Hamad, S.; Catlow, C. R. A.; de Leeuw, N. H. Symmetry-adapted Configurational Modelling of Fractional Site Occupancy in Solids J. Phys.: Condens. Matter 2007, 19, 256201 DOI: 10.1088/0953-8984/19/25/25620135Symmetry-adapted configurational modelling of fractional site occupancy in solidsGrau-Crespo, R.; Hamad, S.; Catlow, C. R. A.; de Leeuw, N. H.Journal of Physics: Condensed Matter (2007), 19 (25), 256201/1-256201/16CODEN: JCOMEL; ISSN:0953-8984. (Institute of Physics Publishing)A methodol. is presented, which reduces the no. of site-occupancy configurations to be calcd. when modeling site disorder in solids, by taking advantage of the crystal symmetry of the lattice. Within this approach, two configurations are considered equiv. when they are related by an isometric operation; a trial list of possible isometric transformations is provided by the group of symmetry operators in the parent structure, which is used to generate all configurations via at. substitutions. We have adapted the equations for configurational statistics to operate in the reduced configurational space of the independent configurations. Each configuration in this space is characterized by its reduced energy, which includes not only its energy but also a contribution from its degeneracy in the complete configurational space, via an entropic term. The new computer program SOD (site-occupancy disorder) is presented, which performs this anal. in systems with arbitrary symmetry and any size of supercell. As a case study we use the distribution of cations in iron antimony oxide FeSbO4, where we also introduce some general considerations for the modeling of site-occupancy disorder in paramagnetic systems.
- 36Leguy, A.; Hu, Y.; Campoy-Quiles, M.; Alonso, M. I.; Weber, O. J.; Azarhoosh, P.; van Schilfgaarde, M.; Weller, M. T.; Bein, T.; Nelson, J. The Reversible Hydration of CH3NH3PbI3 in Films, Single Crystals and Solar Cells Chem. Mater. 2015, 27, 3397 DOI: 10.1021/acs.chemmater.5b0066036Reversible Hydration of CH3NH3PbI3 in Films, Single Crystals, and Solar CellsLeguy, Aurelien M. A.; Hu, Yinghong; Campoy-Quiles, Mariano; Alonso, M. Isabel; Weber, Oliver J.; Azarhoosh, Pooya; van Schilfgaarde, Mark; Weller, Mark T.; Bein, Thomas; Nelson, Jenny; Docampo, Pablo; Barnes, Piers R. F.Chemistry of Materials (2015), 27 (9), 3397-3407CODEN: CMATEX; ISSN:0897-4756. (American Chemical Society)Solar cells composed of methylammonium lead iodide perovskite (MAPI) are notorious for their sensitivity to moisture. It is shown that hydrated crystal phases are formed when MAPI is exposed to water vapor at room temp. and these phase changes are fully reversed when the material is subsequently dried. The reversible formation of CH3NH3PbI3·H2O followed by (CH3NH3)4PbI6·2H2O (upon long exposure times) was obsd. using time-resolved XRD and ellipsometry of thin films prepd. using "solvent engineering", single crystals, and state-of-the-art solar cells. In contrast to water vapor, the presence of liq. water results in the irreversible decompn. of MAPI to form PbI2. MAPI changes from dark brown to transparent on hydration; the precise optical consts. of CH3NH3PbI3·H2O formed on single crystals were detd., with a bandgap at 3.1 eV. Using the single-crystal optical consts. and thin-film ellipsometry measurements, the time-dependent changes to MAPI films exposed to moisture were modeled. The results suggest that the monohydrate phase forms independent of the depth in the film, suggesting rapid transport of water mols. along grain boundaries. Vapor-phase hydration of an unencapsulated solar cell (initially Jsc ≈ 19 mA cm-2 and Voc ≈ 1.05 V at 1 sun) resulted in more than a 90% drop in short-circuit photocurrent and ∼200 mV loss in open-circuit potential; however, these losses were fully reversed after the device was exposed to dry nitrogen for 6 h. Hysteresis in the current-voltage characteristics was significantly increased after this dehydration, which may be related to changes in the defect d. and morphol. of MAPI following recrystn. from the hydrate. Based on the observations, it is suggested that irreversible decompn. of MAPI in the presence of water vapor only occurs significantly once a grain has been fully converted to the monohydrate phase.
- 37Bakulin, A. A.; Selig, O.; Bakker, H. J.; Rezus, Y. L. A.; Müller, C.; Glaser, T.; Lovrincic, R.; Sun, Z.; Chen, Z.; Walsh, A. Real-Time Observation of Organic Cation Reorientation in Methylammonium Lead Iodide Perovskites J. Phys. Chem. Lett. 2015, 6, 3663 DOI: 10.1021/acs.jpclett.5b0155537Real-Time Observation of Organic Cation Reorientation in Methylammonium Lead Iodide PerovskitesBakulin, Artem A.; Selig, Oleg; Bakker, Huib J.; Rezus, Yves L. A.; Mueller, Christian; Glaser, Tobias; Lovrincic, Robert; Sun, Zhenhua; Chen, Zhuoying; Walsh, Aron; Frost, Jarvist M.; Jansen, Thomas L. C.Journal of Physical Chemistry Letters (2015), 6 (18), 3663-3669CODEN: JPCLCD; ISSN:1948-7185. (American Chemical Society)The introduction of a mobile and polarized org. moiety as a cation in 3D Pb-iodide perovskites brings fascinating optoelectronic properties to these materials. The extent and the time scales of the orientational mobility of the org. cation and the mol. mechanism behind its motion remain unclear, with different exptl. and computational approaches providing very different qual. and quant. description of the mol. dynamics. Ultrafast 2D vibrational spectroscopy of methylammonium (MA) Pb iodide was used to directly resolve the rotation of the org. cations within the MAPbI3 lattice. The results reveal 2 characteristic time consts. of motion. Using ab initio mol. dynamics simulations, the authors identify these as a fast (∼300 fs) wobbling-in-a-cone motion around the crystal axis and a relatively slow (∼3 ps) jump-like reorientation of the mol. dipole with respect to the iodide lattice. The obsd. dynamics are essential for understanding the electronic properties of perovskite materials.
- 38Kresse, G.; Furthmüller, J. Efficient Iterative Schemes for Ab initio Total-energy Calculations Using a Plane-wave Basis Set Phys. Rev. B: Condens. Matter Mater. Phys. 1996, 54, 11169 DOI: 10.1103/PhysRevB.54.1116938Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis setKresse, G.; Furthmueller, J.Physical Review B: Condensed Matter (1996), 54 (16), 11169-11186CODEN: PRBMDO; ISSN:0163-1829. (American Physical Society)The authors present an efficient scheme for calcg. the Kohn-Sham ground state of metallic systems using pseudopotentials and a plane-wave basis set. In the first part the application of Pulay's DIIS method (direct inversion in the iterative subspace) to the iterative diagonalization of large matrixes will be discussed. This approach is stable, reliable, and minimizes the no. of order Natoms3 operations. In the second part, we will discuss an efficient mixing scheme also based on Pulay's scheme. A special "metric" and a special "preconditioning" optimized for a plane-wave basis set will be introduced. Scaling of the method will be discussed in detail for non-self-consistent and self-consistent calcns. It will be shown that the no. of iterations required to obtain a specific precision is almost independent of the system size. Altogether an order Natoms2 scaling is found for systems contg. up to 1000 electrons. If we take into account that the no. of k points can be decreased linearly with the system size, the overall scaling can approach Natoms. They have implemented these algorithms within a powerful package called VASP (Vienna ab initio simulation package). The program and the techniques have been used successfully for a large no. of different systems (liq. and amorphous semiconductors, liq. simple and transition metals, metallic and semiconducting surfaces, phonons in simple metals, transition metals, and semiconductors) and turned out to be very reliable.
- 39Perdew, J. P.; Ruzsinszky, A.; Csonka, G. I.; Vydrov, O. A.; Scuseria, G. E.; Constantin, L. A.; Zhou, X.; Burke, K. Restoring the Density-Gradient Expansion for Exchange in Solids and Surfaces Phys. Rev. Lett. 2008, 100, 136406 DOI: 10.1103/PhysRevLett.100.13640639Restoring the Density-Gradient Expansion for Exchange in Solids and SurfacesPerdew, John P.; Ruzsinszky, Adrienn; Csonka, Gabor I.; Vydrov, Oleg A.; Scuseria, Gustavo E.; Constantin, Lucian A.; Zhou, Xiaolan; Burke, KieronPhysical Review Letters (2008), 100 (13), 136406/1-136406/4CODEN: PRLTAO; ISSN:0031-9007. (American Physical Society)Popular modern generalized gradient approxns. are biased toward the description of free-atom energies. Restoration of the first-principles gradient expansion for exchange over a wide range of d. gradients eliminates this bias. We introduce a revised Perdew-Burke-Ernzerhof generalized gradient approxn. that improves equil. properties of densely packed solids and their surfaces.
- 40Blöchl, P. E. Projector Augmented-wave Method Phys. Rev. B: Condens. Matter Mater. Phys. 1994, 50, 17953 DOI: 10.1103/PhysRevB.50.1795340Projector augmented-wave methodBlochlPhysical review. B, Condensed matter (1994), 50 (24), 17953-17979 ISSN:0163-1829.There is no expanded citation for this reference.