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Title: Formation and Composition-Dependent Properties of Alloys of Cubic Halide Perovskites

Journal Article · · Chemistry of Materials

Distinct shortcomings of individual halide perovskites for solar applications, such as restricted range of band gaps, propensity of $$ABX_3$$ to decompose into $$AX + BX_2$$, or oxidation of 2$$ABX_3$$ into $$A_2BX_6$$, have led to the need to consider alloys of individual perovskites such as [FA,Cs][Pb,Sn][Br,I]3. This proposition creates a nontrivial material selection problem associated with a six-component structure, spanning a continuum of three sets of compositions (one for each sublattice) and requiring control of phase separation or ordering in each alloyed subfield. Not surprisingly, material and structure choices were made thus far mostly via trial-and-error explorations among a large number of arrangements. In this work, we use ideas from solid-state theory of semiconductor alloys to analyze the behaviors of the canonical [FA,Cs][Pb,Sn]I3 alloy system, where FA is formamidinium. Density functional calculations utilizing specially constructed supercells are used to calculate the composition dependence of band gaps, energy of decomposition, and alloy mixing enthalpies. A number of clear trends are observed for A-site alloys [Cs,FA]SnI3 and [Cs,FA]PbI3, as well as for B-site alloys Cs[Sn,Pb]I3 and FA[Sn,Pb]I3. To understand the physical reasons that control these trends, we decompose the alloy properties into distinct physical terms: (i) the energies associated with removing the octahedral deformations (tilting, rotations, B-site displacements) of the individual components, (ii) the energies for compressing the larger component and expanding the smaller one to the alloy volume V(x), (iii) the charge-transfer energies associated with placing the alloyed units onto a common lattice, and finally, (iv) structural relaxation of all bonds within the cells. This analysis clarifies the origin of the observed trends in band gaps, decomposition energies, and mixing enthalpies. Unlike a number of previous calculations, we find that the proper description of alloy physics requires that even the pure, nonalloyed, end-point compounds need to be allowed to develop local environment-dependent octahedral deformation that lowers significantly the total energy and raises their band gaps.

Research Organization:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Organization:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Solar Energy Technologies Office (EE-4S); USDOE Office of Science (SC)
Contributing Organization:
National Renewable Energy Lab. (NREL), Golden, CO (United States)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1529365
Journal Information:
Chemistry of Materials, Journal Name: Chemistry of Materials Journal Issue: 7 Vol. 31; ISSN 0897-4756
Publisher:
American Chemical Society (ACS)Copyright Statement
Country of Publication:
United States
Language:
English

References (41)

Homogenous Alloys of Formamidinium Lead Triiodide and Cesium Tin Triiodide for Efficient Ideal-Bandgap Perovskite Solar Cells journal July 2017
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set journal July 1996
Multicomponent multisublattice alloys, nonconfigurational entropy and other additions to the Alloy Theoretic Automated Toolkit journal June 2009
From unstable CsSnI3 to air-stable Cs2SnI6: A lead-free perovskite solar cell light absorber with bandgap of 1.48 eV and high absorption coefficient journal January 2017
Stabilizing Perovskite Structures by Tuning Tolerance Factor: Formation of Formamidinium and Cesium Lead Iodide Solid-State Alloys journal December 2015
Functionality-Directed Screening of Pb-Free Hybrid Organic–Inorganic Perovskites with Desired Intrinsic Photovoltaic Functionalities journal January 2017
Origin of Pronounced Nonlinear Band Gap Behavior in Lead–Tin Hybrid Perovskite Alloys journal May 2018
Understanding Degradation Mechanisms and Improving Stability of Perovskite Photovoltaics journal November 2018
Influence of Disorder and Anharmonic Fluctuations on the Dynamical Rashba Effect in Purely Inorganic Lead-Halide Perovskites journal December 2018
Antagonism between Spin–Orbit Coupling and Steric Effects Causes Anomalous Band Gap Evolution in the Perovskite Photovoltaic Materials CH 3 NH 3 Sn 1– x Pb x I 3 journal August 2015
Thermodynamic Origin of Photoinstability in the CH 3 NH 3 Pb(I 1– x Br x ) 3 Hybrid Halide Perovskite Alloy journal March 2016
Spontaneous Octahedral Tilting in the Cubic Inorganic Cesium Halide Perovskites CsSnX 3 and CsPbX 3 (X = F, Cl, Br, I) journal September 2017
Progress on Perovskite Materials and Solar Cells with Mixed Cations and Halide Anions journal July 2017
Light-Induced Phase Segregation in Halide-Perovskite Absorbers journal November 2016
Semiconducting Tin and Lead Iodide Perovskites with Organic Cations: Phase Transitions, High Mobilities, and Near-Infrared Photoluminescent Properties journal July 2013
Air-Stable Molecular Semiconducting Iodosalts for Solar Cell Applications: Cs2SnI6 as a Hole Conductor
  • Lee, Byunghong; Stoumpos, Constantinos C.; Zhou, Nanjia
  • Journal of the American Chemical Society, Vol. 136, Issue 43, p. 15379-15385 https://doi.org/10.1021/ja508464w
journal October 2014
Understanding the Cubic Phase Stabilization and Crystallization Kinetics in Mixed Cations and Halides Perovskite Single Crystals journal February 2017
Band Gap Tuning via Lattice Contraction and Octahedral Tilting in Perovskite Materials for Photovoltaics journal August 2017
First-Principles Modeling of Mixed Halide Organometal Perovskites for Photovoltaic Applications journal July 2013
Anomalous Alloy Properties in Mixed Halide Perovskites journal October 2014
Compositional engineering of perovskite materials for high-performance solar cells journal January 2015
Graded bandgap perovskite solar cells journal November 2016
Understanding how excess lead iodide precursor improves halide perovskite solar cell performance journal August 2018
Entropic stabilization of mixed A-cation ABX 3 metal halide perovskites for high performance perovskite solar cells journal January 2016
Cesium-containing triple cation perovskite solar cells: improved stability, reproducibility and high efficiency journal January 2016
Direct calorimetric verification of thermodynamic instability of lead halide hybrid perovskites journal June 2016
Chemical accuracy for the van der Waals density functional journal December 2009
Theory of electronic structure evolution in GaAsN and GaPN alloys journal August 2001
Polymorphous band structure model of gapping in the antiferromagnetic and paramagnetic phases of the Mott insulators MnO, FeO, CoO, and NiO journal January 2018
Multiscale model for disordered hybrid perovskites: The concept of organic cation pair modes journal July 2018
Bond disproportionation, charge self-regulation, and ligand holes in s − p and in d -electron A B X 3 perovskites by density functional theory journal August 2018
Local Polar Fluctuations in Lead Halide Perovskite Crystals journal March 2017
Structural Origin of Optical Bowing in Semiconductor Alloys journal August 1983
Special quasirandom structures journal July 1990
Long-range order in binary late-transition-metal alloys journal April 1991
Changes in charge density vs changes in formal oxidation states: The case of Sn halide perovskites and their ordered vacancy analogues journal July 2017
First-principles thermodynamics study of phase stability in inorganic halide perovskite solid solutions journal April 2018
High-performance photovoltaic perovskite layers fabricated through intramolecular exchange journal May 2015
Perovskite-perovskite tandem photovoltaics with optimized band gaps journal October 2016
Spontaneous Atomic Ordering in Semiconductor Alloys: Causes, Carriers, and Consequences journal July 1997
High-efficiency tandem perovskite solar cells journal August 2015

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