skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Structural Tolerance Factor Approach to Defect-Resistant I2-II-IV-X4 Semiconductor Design

Journal Article · · Chemistry of Materials

Recent work on quaternary semiconductors Cu2BaSn(S,Se)4 and Ag2BaSnSe4 for photovoltaic and thermoelectric applications, respectively, has shown the promise of exploring the broader family of defect-resistant I2-II-IV-X4 materials (where I, II, and IV refer to the formal oxidation state of the metal cations and X is a chalcogen anion) with tetrahedrally coordinated I/IV cations and larger II cations (i.e., Sr, Ba, Pb, and Eu) for optoelectronic and energy-related applications. Chemical dissimilarity among the II and I/IV atoms represents an important design motivation because it presents a barrier to antisite formation, which otherwise may act as electronically harmful defects. We herein show how all 31 experimentally reported I2-II-IV-X4 examples (with large II cations and tetrahedrally coordinated smaller I/IV cations), which form within five crystal structure types, are structurally linked. Based on these structural similarities, we derive a set of tolerance factors that serve as descriptors for phase stability within this family. Despite common usage in the well-studied perovskite system, Shannon ionic radii are found to be insufficient for predicting metal–chalcogen bond lengths, pointing to the need for experimentally derived correction factors as part of an empirically driven learning approach to structure prediction. Here, we use the tolerance factors as a predictive tool and demonstrate that four new I2-II-IV-X4 compounds, Ag2BaSiS4, Ag2PbSiS4, Cu2PbGeS4, and Cu2SrSiS4, can be synthesized in correctly predicted phases. One of these compounds, Ag2PbSiS4, shows potentially promising optoelectronic properties for photovoltaic applications.

Research Organization:
Duke Univ., Durham, NC (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
Grant/Contract Number:
SC0020061; DGE-1644868
OSTI ID:
1783206
Journal Information:
Chemistry of Materials, Vol. 32, Issue 4; ISSN 0897-4756
Publisher:
American Chemical Society (ACS)Copyright Statement
Country of Publication:
United States
Language:
English

References (88)

Brief review of emerging photovoltaic absorbers journal April 2017
Chalcogenides as thermoelectric materials journal February 2019
Insights into Mg 2+ Intercalation in a Zero-Strain Material: Thiospinel Mg x Zr 2 S 4 journal June 2018
Correlation of Structure and Fast Ion Conductivity in the Solid Solution Series Li 1+2 x Zn 1– x PS 4 journal January 2018
Na 11 Sn 2 PS 12 : a new solid state sodium superionic conductor journal January 2018
Solution-Processed Metal Chalcogenide Films for p-Type Transistors journal February 2006
High-performance and scalable metal-chalcogenide semiconductors and devices via chalco-gel routes journal April 2018
Chalcogenide photonics journal February 2011
Overview of Phase-Change Chalcogenide Nonvolatile Memory Technology journal November 2004
Solar cell efficiency tables (Version 53)
  • Green, Martin A.; Hishikawa, Yoshihiro; Dunlop, Ewan D.
  • Progress in Photovoltaics: Research and Applications, Vol. 27, Issue 1 https://doi.org/10.1002/pip.3102
journal December 2018
Material considerations for terawatt level deployment of photovoltaics journal February 2008
Natural resource limitations to terawatt-scale solar cells journal December 2011
Device Characteristics of CZTSSe Thin-Film Solar Cells with 12.6% Efficiency journal November 2013
Band tailing and efficiency limitation in kesterite solar cells journal September 2013
On the origin of band-tails in kesterite journal June 2018
Deep Defects in Cu 2 ZnSn ( S , Se ) 4 Solar Cells with Varying Se Content journal February 2016
High-entropy high-hardness metal carbides discovered by entropy descriptors journal November 2018
Classification of Lattice Defects in the Kesterite Cu 2 ZnSnS 4 and Cu 2 ZnSnSe 4 Earth-Abundant Solar Cell Absorbers journal February 2013
BaCu 2 Sn(S,Se) 4 : Earth-Abundant Chalcogenides for Thin-Film Photovoltaics journal June 2016
Defect Engineering in Multinary Earth-Abundant Chalcogenide Photovoltaic Materials journal January 2017
Distant-Atom Mutation for Better Earth-Abundant Light Absorbers: A Case Study of Cu 2 BaSnSe 4 journal December 2016
Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides journal September 1976
Earth-Abundant Chalcogenide Photovoltaic Devices with over 5% Efficiency Based on a Cu 2 BaSn(S,Se) 4 Absorber journal April 2017
Synthesis and Characterization of an Earth-Abundant Cu 2 BaSn(S,Se) 4 Chalcogenide for Photoelectrochemical Cell Application journal November 2016
Efficient and Stable Pt/TiO 2 /CdS/Cu 2 BaSn(S,Se) 4 Photocathode for Water Electrolysis Applications journal November 2017
Solution-Processed Earth-Abundant Cu 2 BaSn(S,Se) 4 Solar Absorber Using a Low-Toxicity Solvent journal August 2018
Origins of ultralow thermal conductivity in 1-2-1-4 quaternary selenides journal January 2019
Ultralow thermal conductivity of BaAg2SnSe4 and the effect of doping by Ga and In journal June 2019
I 2 –II–IV–VI 4 (I = Cu, Ag; II = Sr, Ba; IV = Ge, Sn; VI = S, Se): Chalcogenides for Thin-Film Photovoltaics journal September 2017
Optoelectronic properties of candidate photovoltaic Cu2PbSiS4, Ag2PbGeS4 and KAg2SbS4 semiconductors journal May 2018
Optical and photoelectrochemical properties of Cu2SrSnS4 thin film fabricated by a facial ball-milling method journal February 2019
Effect of S and Se replacement on electronic and thermoelectric features of BaCu2GeQ4 (Q = S, Se) chalcogenide crystals journal June 2019
BaCu 2 M IV Q 4 (M IV = Si, Ge, and Sn; Q = S, Se): synthesis, crystal structures, optical performances and theoretical calculations journal January 2017
Effect of Element Substitution on Structural Transformation and Optical Performances in I 2 BaM IV Q 4 ( I = Li, Na, Cu, and Ag; M IV = Si, Ge, and Sn; Q = S and Se) journal March 2018
Band Gap Tailoring and Structure-Composition Relationship within the Alloyed Semiconductor Cu 2 BaGe 1– x Sn x Se 4 journal August 2018
A new family of quaternary thiosilicates SrA 2 SiS 4 (A = Li, Na, Cu) as promising infrared nonlinear optical crystals journal January 2020
Ab initio molecular simulations with numeric atom-centered orbitals journal November 2009
Resolution-of-identity approach to Hartree–Fock, hybrid density functionals, RPA, MP2 and GW with numeric atom-centered orbital basis functions journal May 2012
Efficient integration for all-electron electronic structure calculation using numeric basis functions journal December 2009
All-electron formalism for total energy strain derivatives and stress tensor components for numeric atom-centered orbitals journal May 2015
The Elephant in the Room of Density Functional Theory Calculations journal March 2017
Reproducibility in density functional theory calculations of solids journal March 2016
Hybrid functionals for large periodic systems in an all-electron, numeric atom-centered basis framework journal July 2015
Accurate localized resolution of identity approach for linear-scaling hybrid density functionals and for many-body perturbation theory journal September 2015
Generalized Gradient Approximation Made Simple journal October 1996
Restoring the Density-Gradient Expansion for Exchange in Solids and Surfaces journal April 2008
Strongly Constrained and Appropriately Normed Semilocal Density Functional journal July 2015
Efficient first-principles prediction of solid stability: Towards chemical accuracy journal March 2018
Regularized SCAN functional journal April 2019
Enhancing the efficiency of density functionals with an improved iso-orbital indicator journal January 2019
Numeric atom-centered-orbital basis sets with valence-correlation consistency from H to Ar journal December 2013
Hybrid functionals based on a screened Coulomb potential journal May 2003
Erratum: “Hybrid functionals based on a screened Coulomb potential” [J. Chem. Phys. 118, 8207 (2003)] journal June 2006
Direct-Bandgap 2D Silver–Bismuth Iodide Double Perovskite: The Structure-Directing Influence of an Oligothiophene Spacer Cation journal April 2019
Darstellung und Kristallstruktur von Silber-Barium-Thiogermanat(IV). Ag2BaGeS4 / Preparation and Crystal Structure of Silver-Barium-Thiogermanate(IV). Ag2BaGeS4 journal April 1979
Ergebnisse einer Röntgenstrukturanalyse von Silber-Barium-Thiostannat(IV), Ag2BaSnS4 journal December 1976
New Quaternary Barium Copper/Silver Selenostannates:  Different Coordination Spheres, Metal−Metal Interactions, and Physical Properties journal May 2005
Isothermal section of the Ag2S–PbS–GeS2 system at 300K and the crystal structure of Ag2PbGeS4 journal March 2011
Über die Darstellung und röntgenographische Untersuchung von Cu2SrGeS4 und Cu2BaGeS4 / On the Preparation and X-ray Investigation of Cu2SrGeS4 and Cu2BaGeS4 journal March 1979
Pr�parative und r�ntgenographische Untersuchung am System Cu2?xAgxBaSnS4 journal October 1976
Physical and optical properties of the quaternary sulfides SrCu2MS4 and EuCu2MS4 (M=Ge and Sn) journal June 2003
Cu2EuMQ4 (M = Si, Ge; Q = S, Se): Syntheses, structure study and physical properties determination journal January 2019
Synthesis, structure and physicochemical characterization of a noncentrosymmetric, quaternary thiostannate: EuCu2SnS4 journal January 2009
Phase diagrams of the quasi-binary systems Cu2S–SiS2 and Cu2SiS3–PbS and the crystal structure of the new quaternary compound Cu2PbSiS4 journal August 2005
Darstellung und Kristallstruktur von Cu2SrSnS4 journal January 1976
New Compressed Chalcopyrite-like Li 2 BaM IV Q 4 (M IV = Ge, Sn; Q = S, Se): Promising Infrared Nonlinear Optical Materials journal September 2017
Preparation and crystal structure of Li2CaSiO4 and isostructural Li2CaGeO4 journal August 1973
Li 2 PbGeS 4 and Li 2 EuGeS 4 :  Polar Chalcopyrites with a Severe Tetragonal Compression journal December 2001
Li2EuSiO4, ein Europium(II)-dilithosilicat: Eu[(Li2Si)O4] journal July 1998
Effect of covalence on interatomic distances in Cu+, Ag+, Tl+ and Pb2+ halides and chalcogenides journal January 1976
On the application of the tolerance factor to inorganic and hybrid halide perovskites: a revised system journal January 2016
Electronegativity values from thermochemical data journal June 1961
Revised Mulliken electronegativities: I. Calculation and conversion to Pauling units journal January 1988
A scale of electronegativity based on electrostatic force journal January 1958
Crystal structure and chemical constitution journal January 1929
Atomic radii in ternary adamantines journal January 1988
Big Data of Materials Science: Critical Role of the Descriptor journal March 2015
Learning physical descriptors for materials science by compressed sensing journal February 2017
Uncovering structure-property relationships of materials by subgroup discovery journal January 2017
Three-Parameter Crystal-Structure Prediction for sp - d -Valent Compounds journal April 2016
High-Throughput Machine-Learning-Driven Synthesis of Full-Heusler Compounds journal October 2016
TiO 2 Stability Landscape:  Polymorphism, Surface Energy, and Bound Water Energetics journal December 2006
Heat capacities of iron disulfides Thermodynamics of marcasite from 5 to 700 K, pyrite from 300 to 780 K, and the transformation of marcasite to pyrite journal November 1976
First-principles study of relative stability of rutile and anatase TiO 2 using the random phase approximation journal January 2016
Relative stability of FeS 2 polymorphs with the random phase approximation approach journal January 2018
Influence of the exchange screening parameter on the performance of screened hybrid functionals journal December 2006
Detailed balance limit of the efficiency of tandem solar cells journal May 1980
Investigation of nanocrystalline copper sulfide Cu7S4 fabricated by ultrasonic radiation technique journal June 2007