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Thermodynamic Band Gap Model for Photoinduced Phase Segregation in Mixed-Halide Perovskites

Journal Article · · Journal of Physical Chemistry. C

Provided is a comprehensive description of a band gap thermodynamic model, which predicts and explains key features of photosegregation in lead-based, mixed-halide perovskites. The model gives a prescription for illustrating halide migration driven by photocarrier energies. Where possible, model predictions are compared with experimental results. Free energy derivations are provided for three assumptions: (1) halide mixing in the dark, (2) a fixed number of photogenerated carriers funneling to and localizing in low band gap inclusions of the alloy, and (3) the statistical occupancy of said inclusions from a bath of thermalized photocarriers in the parent material. Model predictions include excitation intensity (Iexc)-dependent terminal halide stoichiometries (xterminal), temperature-independent xterminal, excitation intensity thresholds (Iexc,threshold) below which photosegregation is suppressed, and reduced segregation in nanocrystals as compared to thin films. Here, the model also offers insight into kinetically manipulating photosegregation rates via control of underlying mediators and rationalizes asymmetries in forward and reverse photosegregation rate constants/activation energies. What emerges is a cohesive framework for understanding ubiquitous photosegregation in mixed-halide perovskites and a rational basis by which to manage the phenomenon.

Research Organization:
University of Notre Dame, IN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0014334
OSTI ID:
2338289
Journal Information:
Journal of Physical Chemistry. C, Journal Name: Journal of Physical Chemistry. C Journal Issue: 37 Vol. 127; ISSN 1932-7447
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (76)

Multi‐Stage Phase‐Segregation of Mixed Halide Perovskites under Illumination: A Quantitative Comparison of Experimental Observations and Thermodynamic Models journal November 2022
Charge-Carrier Dynamics and Mobilities in Formamidinium Lead Mixed-Halide Perovskites journal September 2015
Temperature‐Dependent Reversal of Phase Segregation in Mixed‐Halide Perovskites journal March 2023
High-Efficiency, Blue, Green, and Near-Infrared Light-Emitting Diodes Based on Triple Cation Perovskite journal February 2017
Photoinduced Phase Segregation in Mixed Halide Perovskites: Thermodynamic and Kinetic Aspects of Cl–Br Segregation journal October 2020
Beyond the Phase Segregation: Probing the Irreversible Phase Reconstruction of Mixed‐Halide Perovskites journal December 2021
In situ studies of the degradation mechanisms of perovskite solar cells journal April 2020
A Mathematical Theory of Communication journal October 1948
Ionic conduction of the perovskite-type halides journal November 1983
Electrical conductivity of CuSnI3, CuPbI3 and KPbI3 journal October 1987
The role of halide oxidation in perovskite halide phase separation journal September 2021
Structural Origins of Light-Induced Phase Segregation in Organic-Inorganic Halide Perovskite Photovoltaic Materials journal January 2020
Photoinduced Anion Segregation in Mixed Halide Perovskites journal April 2020
Thermodynamic Stabilization of Mixed-Halide Perovskites against Phase Segregation journal August 2020
Hole Trapping in Halide Perovskites Induces Phase Segregation journal June 2022
Carrier Diffusion Lengths in Hybrid Perovskites: Processing, Composition, Aging, and Surface Passivation Effects journal July 2016
Understanding Degradation Mechanisms and Improving Stability of Perovskite Photovoltaics journal November 2018
Solid-State Physics Perspective on Hybrid Perovskite Semiconductors journal April 2015
Cesium Lead Halide Perovskites with Improved Stability for Tandem Solar Cells journal February 2016
Thermodynamic Origin of Photoinstability in the CH 3 NH 3 Pb(I 1– x Br x ) 3 Hybrid Halide Perovskite Alloy journal March 2016
Unraveling the Exciton Binding Energy and the Dielectric Constant in Single-Crystal Methylammonium Lead Triiodide Perovskite journal April 2017
Tunable Polaron Distortions Control the Extent of Halide Demixing in Lead Halide Perovskites journal June 2018
Blue-Green Color Tunable Solution Processable Organolead Chloride–Bromide Mixed Halide Perovskites for Optoelectronic Applications journal August 2015
High Photoluminescence Quantum Yield in Band Gap Tunable Bromide Containing Mixed Halide Perovskites journal December 2015
Origin of Reversible Photoinduced Phase Separation in Hybrid Perovskites journal January 2017
Brightly Luminescent and Color-Tunable Formamidinium Lead Halide Perovskite FAPbX 3 (X = Cl, Br, I) Colloidal Nanocrystals journal April 2017
Cation-Dependent Light-Induced Halide Demixing in Hybrid Organic–Inorganic Perovskites journal April 2018
Giant Fine Structure Splitting of the Bright Exciton in a Bulk MAPbBr3 Single Crystal journal September 2019
Structural Dynamics of Metal Halide Perovskites during Photoinduced Halide Segregation journal January 2022
Metal Halide Perovskites Demonstrate Radiation Hardness and Defect Healing in Vacuum journal February 2022
Iodine (I) Expulsion at Photoirradiated Mixed Halide Perovskite Interface. Should I Stay or Should I Go? journal May 2020
Halide Segregation in Mixed-Halide Perovskites: Influence of A-Site Cations journal February 2021
Stabilizing Mixed Halide Lead Perovskites against Photoinduced Phase Segregation by A-Site Cation Alloying journal February 2021
Distinguishing Models for Mixed Halide Lead Perovskite Photosegregation via Terminal Halide Stoichiometry journal May 2021
Photoinduced Self-healing of Halide Segregation in Mixed-halide Perovskites journal June 2021
Tracking Iodide and Bromide Ion Segregation in Mixed Halide Lead Perovskites during Photoirradiation journal June 2016
Photoluminescence Lifetimes Exceeding 8 μs and Quantum Yields Exceeding 30% in Hybrid Perovskite Thin Films by Ligand Passivation journal July 2016
Light-Induced Phase Segregation in Halide-Perovskite Absorbers journal November 2016
Defect-Assisted Photoinduced Halide Segregation in Mixed-Halide Perovskite Thin Films journal May 2017
Shift Happens . How Halide Ion Defects Influence Photoinduced Segregation in Mixed Halide Perovskites journal June 2017
Light-Induced Anion Phase Segregation in Mixed Halide Perovskites journal November 2017
Vacancy-Mediated Anion Photosegregation Kinetics in Mixed Halide Hybrid Perovskites: Coupled Kinetic Monte Carlo and Optical Measurements journal September 2018
Impact of Surfaces on Photoinduced Halide Segregation in Mixed-Halide Perovskites journal October 2018
Electronic Traps and Phase Segregation in Lead Mixed-Halide Perovskite journal November 2018
Reversible Removal of Intermixed Shallow States by Light Soaking in Multication Mixed Halide Perovskite Films journal September 2019
How Interplay between Photo and Thermal Activation Dictates Halide Ion Segregation in Mixed Halide Perovskites journal November 2019
Excitation Intensity- and Size-Dependent Halide Photosegregation in CsPb(I0.5Br0.5)3 Perovskite Nanocrystals journal December 2022
Modeling the Photoelectrochemical Evolution of Lead-Based, Mixed-Halide Perovskites Due to Photosegregation journal October 2023
Mixed or Segregated: Toward Efficient and Stable Mixed Halide Perovskite-Based Devices journal September 2021
Transformation of the Excited State and Photovoltaic Efficiency of CH 3 NH 3 PbI 3 Perovskite upon Controlled Exposure to Humidified Air
  • Christians, Jeffrey A.; Miranda Herrera, Pierre A.; Kamat, Prashant V.
  • Journal of the American Chemical Society, Vol. 137, Issue 4 https://doi.org/10.1021/ja511132a
journal January 2015
Electrochemical Hole Injection Selectively Expels Iodide from Mixed Halide Perovskite Films journal June 2019
Chemical Management for Colorful, Efficient, and Stable Inorganic–Organic Hybrid Nanostructured Solar Cells journal March 2013
Nanocrystals of Cesium Lead Halide Perovskites (CsPbX 3 , X = Cl, Br, and I): Novel Optoelectronic Materials Showing Bright Emission with Wide Color Gamut journal February 2015
Ionic polarization-induced current–voltage hysteresis in CH3NH3PbX3 perovskite solar cells journal February 2016
Photo-induced halide redistribution in organic–inorganic perovskite films journal May 2016
Fast oxygen diffusion and iodide defects mediate oxygen-induced degradation of perovskite solar cells journal May 2017
Ionic transport in hybrid lead iodide perovskite solar cells journal June 2015
Rationalizing the light-induced phase separation of mixed halide organic–inorganic perovskites journal August 2017
Suppressed phase separation of mixed-halide perovskites confined in endotaxial matrices journal February 2019
Absolute energy level positions in tin- and lead-based halide perovskites journal June 2019
Unified theory for light-induced halide segregation in mixed halide perovskites journal May 2021
Large tunable photoeffect on ion conduction in halide perovskites and implications for photodecomposition journal March 2018
Light-induced reversal of ion segregation in mixed-halide perovskites journal October 2020
Formamidinium lead trihalide: a broadly tunable perovskite for efficient planar heterojunction solar cells journal January 2014
Advancements in perovskite solar cells: photophysics behind the photovoltaics journal January 2014
Reversible photo-induced trap formation in mixed-halide hybrid perovskites for photovoltaics journal January 2015
Defect migration in methylammonium lead iodide and its role in perovskite solar cell operation journal January 2015
Exploration of the compositional space for mixed lead halogen perovskites for high efficiency solar cells journal January 2016
Light and oxygen induced degradation limits the operational stability of methylammonium lead triiodide perovskite solar cells journal January 2016
Photovoltaic mixed-cation lead mixed-halide perovskites: links between crystallinity, photo-stability and electronic properties journal January 2017
Long-Range Balanced Electron- and Hole-Transport Lengths in Organic-Inorganic CH3NH3PbI3 journal October 2013
Electron-Hole Diffusion Lengths Exceeding 1 Micrometer in an Organometal Trihalide Perovskite Absorber journal October 2013
A mixed-cation lead mixed-halide perovskite absorber for tandem solar cells journal January 2016
Monolithic perovskite/silicon tandem solar cell with >29% efficiency by enhanced hole extraction journal December 2020
Interface engineering for high-performance, triple-halide perovskite–silicon tandem solar cells journal July 2023
Phase segregation in inorganic mixed-halide perovskites: from phenomena to mechanisms journal October 2020