DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Electronic band structure trends of perovskite halides: Beyond Pb and Sn to Ge and Si

Abstract

The trends in electronic band structure are investigated in the cubic ABX3 halide perovskites fo rA=Cs;B=Pb,Sn, Ge, Si; andX=I, Br, Cl. The gaps are found to decrease from Pb to Sn and from Ge to Si, but increase from Sn to Ge. The trend is explained in terms of the atomic levels of the group-IV element and the atomic sizes which changes the amount of hybridization with X-p and hence the valence bandwidth. Along the same series spin-orbit coupling also decreases and this tends to increase the gap because of the smaller splitting of the conduction band minimum. Both effects compensate each other to a certain degree. The trend with halogens is to reduce the gap from Cl to I, i.e., with decreasing electronegativity. The part of the tolerance factor in avoiding octahedron rotations and octahedron edge sharing is discussed. The Ge containing compounds have tolerance factor t>1 and hence do not show the series of octahedral rotation distortions and the existence of edge-sharing octahedral phases known for Pb and Sn-based compounds, but rather a rhombohedral distortion. CsGeI3 is found to have a suitable gap for photovoltaics both in its cubic (high-temperature) and rhombohedral (low-temperature) phases. The structural stability ofmore » the materials in the different phases is also discussed. We find the rhombohedral phase to have lower total energy and slightly larger gaps but to present a less significant distortion of the bandstructure than the edge-sharing octahedral phases, such as the yellow phase in CsSnI3. The corresponding silicon based compounds have not yet been synthesized and therefore our estimates are less certain but indicate a small gap for cubic CsSiI3 and CsSiBr3of about 0.2±0.2 eV and 0.8±0.6 eV for CsSiCl3. The intrinsic stability of the Si compounds is discussed.« less

Authors:
 [1]; ORCiD logo [1]
  1. Case Western Reserve Univ., Cleveland, OH (United States)
Publication Date:
Research Org.:
Case Western Reserve Univ., Cleveland, OH (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1591890
Alternate Identifier(s):
OSTI ID: 1254217
Grant/Contract Number:  
SC0008933
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 93; Journal Issue: 19; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; halide perovskite; band structure

Citation Formats

Huang, Ling-yi, and Lambrecht, Walter R. L. Electronic band structure trends of perovskite halides: Beyond Pb and Sn to Ge and Si. United States: N. p., 2016. Web. doi:10.1103/PhysRevB.93.195211.
Huang, Ling-yi, & Lambrecht, Walter R. L. Electronic band structure trends of perovskite halides: Beyond Pb and Sn to Ge and Si. United States. https://doi.org/10.1103/PhysRevB.93.195211
Huang, Ling-yi, and Lambrecht, Walter R. L. Mon . "Electronic band structure trends of perovskite halides: Beyond Pb and Sn to Ge and Si". United States. https://doi.org/10.1103/PhysRevB.93.195211. https://www.osti.gov/servlets/purl/1591890.
@article{osti_1591890,
title = {Electronic band structure trends of perovskite halides: Beyond Pb and Sn to Ge and Si},
author = {Huang, Ling-yi and Lambrecht, Walter R. L.},
abstractNote = {The trends in electronic band structure are investigated in the cubic ABX3 halide perovskites fo rA=Cs;B=Pb,Sn, Ge, Si; andX=I, Br, Cl. The gaps are found to decrease from Pb to Sn and from Ge to Si, but increase from Sn to Ge. The trend is explained in terms of the atomic levels of the group-IV element and the atomic sizes which changes the amount of hybridization with X-p and hence the valence bandwidth. Along the same series spin-orbit coupling also decreases and this tends to increase the gap because of the smaller splitting of the conduction band minimum. Both effects compensate each other to a certain degree. The trend with halogens is to reduce the gap from Cl to I, i.e., with decreasing electronegativity. The part of the tolerance factor in avoiding octahedron rotations and octahedron edge sharing is discussed. The Ge containing compounds have tolerance factor t>1 and hence do not show the series of octahedral rotation distortions and the existence of edge-sharing octahedral phases known for Pb and Sn-based compounds, but rather a rhombohedral distortion. CsGeI3 is found to have a suitable gap for photovoltaics both in its cubic (high-temperature) and rhombohedral (low-temperature) phases. The structural stability of the materials in the different phases is also discussed. We find the rhombohedral phase to have lower total energy and slightly larger gaps but to present a less significant distortion of the bandstructure than the edge-sharing octahedral phases, such as the yellow phase in CsSnI3. The corresponding silicon based compounds have not yet been synthesized and therefore our estimates are less certain but indicate a small gap for cubic CsSiI3 and CsSiBr3of about 0.2±0.2 eV and 0.8±0.6 eV for CsSiCl3. The intrinsic stability of the Si compounds is discussed.},
doi = {10.1103/PhysRevB.93.195211},
journal = {Physical Review B},
number = 19,
volume = 93,
place = {United States},
year = {Mon May 23 00:00:00 EDT 2016},
month = {Mon May 23 00:00:00 EDT 2016}
}

Journal Article:

Citation Metrics:
Cited by: 115 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Generalized Gradient Approximation Made Simple
journal, October 1996

  • Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
  • Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
  • DOI: 10.1103/PhysRevLett.77.3865

Kristallstrukturen und Phasentransformationen von Caesiumtrihalogenogermanaten(II) CsGeX3 (X = Cl, Br, I)
journal, February 1987

  • Thiele, Gerhard; Rotter, Heinz Wilhelm; Schmidt, Klaus Dieter
  • Zeitschrift f�r anorganische und allgemeine Chemie, Vol. 545, Issue 2
  • DOI: 10.1002/zaac.19875450217

A search model for topological insulators with high-throughput robustness descriptors
journal, May 2012

  • Yang, Kesong; Setyawan, Wahyu; Wang, Shidong
  • Nature Materials, Vol. 11, Issue 7
  • DOI: 10.1038/nmat3332

Electronic band structure, phonons, and exciton binding energies of halide perovskites CsSnCl 3 , CsSnBr 3 , and CsSnI 3
journal, October 2013


Low-temperature processed meso-superstructured to thin-film perovskite solar cells
journal, January 2013

  • Ball, James M.; Lee, Michael M.; Hey, Andrew
  • Energy & Environmental Science, Vol. 6, Issue 6
  • DOI: 10.1039/c3ee40810h

All-solid-state dye-sensitized solar cells with high efficiency
journal, May 2012

  • Chung, In; Lee, Byunghong; He, Jiaqing
  • Nature, Vol. 485, Issue 7399, p. 486-489
  • DOI: 10.1038/nature11067

High-temperature structural evolution of caesium and rubidium triiodoplumbates
journal, October 2008

  • Trots, D. M.; Myagkota, S. V.
  • Journal of Physics and Chemistry of Solids, Vol. 69, Issue 10, p. 2520-2526
  • DOI: 10.1016/j.jpcs.2008.05.007

Organolead Halide Perovskite: New Horizons in Solar Cell Research
journal, February 2014

  • Kim, Hui-Seon; Im, Sang Hyuk; Park, Nam-Gyu
  • The Journal of Physical Chemistry C, Vol. 118, Issue 11, p. 5615-5625
  • DOI: 10.1021/jp409025w

Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides
journal, September 1976


The Mössbauer effect in tin( II ) compounds. Part XI. The spectra of cubic trihalogenostannates( II )
journal, January 1971

  • Barrett, J.; Bird, S. R. A.; Donaldson, J. D.
  • J. Chem. Soc. A, Vol. 0, Issue 0
  • DOI: 10.1039/J19710003105

Organometal Halide Perovskites as Visible-Light Sensitizers for Photovoltaic Cells
journal, May 2009

  • Kojima, Akihiro; Teshima, Kenjiro; Shirai, Yasuo
  • Journal of the American Chemical Society, Vol. 131, Issue 17, p. 6050-6051
  • DOI: 10.1021/ja809598r

Structural Phase Transitions of the Polymorphs of CsSnI3 by Means of Rietveld Analysis of the X-Ray Diffraction
journal, May 1991

  • Yamada, Koji; Funabiki, Shinya; Horimoto, Hiromi
  • Chemistry Letters, Vol. 20, Issue 5, p. 801-804
  • DOI: 10.1246/cl.1991.801

Hybrid Germanium Iodide Perovskite Semiconductors: Active Lone Pairs, Structural Distortions, Direct and Indirect Energy Gaps, and Strong Nonlinear Optical Properties
journal, May 2015

  • Stoumpos, Constantinos C.; Frazer, Laszlo; Clark, Daniel J.
  • Journal of the American Chemical Society, Vol. 137, Issue 21
  • DOI: 10.1021/jacs.5b01025

Morphological Control for High Performance, Solution-Processed Planar Heterojunction Perovskite Solar Cells
journal, September 2013

  • Eperon, Giles E.; Burlakov, Victor M.; Docampo, Pablo
  • Advanced Functional Materials, Vol. 24, Issue 1, p. 151-157
  • DOI: 10.1002/adfm.201302090

Rashba Spin–Orbit Coupling Enhanced Carrier Lifetime in CH 3 NH 3 PbI 3
journal, November 2015


Structures of the perhalogenated cyclopentasilanes Si5Br10 and Si5I10 at normal and low temperatures
journal, June 1985

  • Kratky, Ch.; Hengge, H.; Stüger, H.
  • Acta Crystallographica Section C Crystal Structure Communications, Vol. 41, Issue 6
  • DOI: 10.1107/S0108270185005650

High-throughput electronic band structure calculations: Challenges and tools
journal, August 2010


Interplay of Orientational Order and Electronic Structure in Methylammonium Lead Iodide: Implications for Solar Cell Operation
journal, November 2014

  • Quarti, Claudio; Mosconi, Edoardo; De Angelis, Filippo
  • Chemistry of Materials, Vol. 26, Issue 22
  • DOI: 10.1021/cm5032046

Crystal Structure and Photoconductivity of Cæsium Plumbohalides
journal, November 1958


Atomistic Origins of High-Performance in Hybrid Halide Perovskite Solar Cells
journal, April 2014

  • Frost, Jarvist M.; Butler, Keith T.; Brivio, Federico
  • Nano Letters, Vol. 14, Issue 5
  • DOI: 10.1021/nl500390f

Pressure-Induced Changes in the Structure and Band Gap of CsGeX 3 (X = Cl, Br) Studied by Electronic Band Structure Calculations
journal, February 1998

  • Seo, D. -K.; Gupta, N.; Whangbo, M. -H.
  • Inorganic Chemistry, Vol. 37, Issue 3
  • DOI: 10.1021/ic970659e

Die Kristallstruktur yon RbGeCl3 / The Crystal Structure of RbGeCl3
journal, April 1978


Near-band-edge optical responses of solution-processed organic–inorganic hybrid perovskite CH 3 NH 3 PbI 3 on mesoporous TiO 2 electrodes
journal, February 2014

  • Yamada, Yasuhiro; Nakamura, Toru; Endo, Masaru
  • Applied Physics Express, Vol. 7, Issue 3
  • DOI: 10.7567/APEX.7.032302

Spin-Orbit Coupling Effects in Zinc Blende Structures
journal, October 1955


Lead-free organic–inorganic tin halide perovskites for photovoltaic applications
journal, January 2014

  • Noel, Nakita K.; Stranks, Samuel D.; Abate, Antonio
  • Energy Environ. Sci., Vol. 7, Issue 9
  • DOI: 10.1039/C4EE01076K

Sequential deposition as a route to high-performance perovskite-sensitized solar cells
journal, July 2013

  • Burschka, Julian; Pellet, Norman; Moon, Soo-Jin
  • Nature, Vol. 499, Issue 7458, p. 316-319
  • DOI: 10.1038/nature12340

Strain-Induced Ferroelectric Topological Insulator
journal, February 2016


Phase stability and transformations in the halide perovskite CsSnI 3
journal, April 2015

  • da Silva, E. Lora; Skelton, Jonathan M.; Parker, Stephen C.
  • Physical Review B, Vol. 91, Issue 14
  • DOI: 10.1103/PhysRevB.91.144107

Infrared Spectroscopic Study of Vibrational Modes in Methylammonium Lead Halide Perovskites
journal, July 2015

  • Glaser, Tobias; Müller, Christian; Sendner, Michael
  • The Journal of Physical Chemistry Letters, Vol. 6, Issue 15
  • DOI: 10.1021/acs.jpclett.5b01309

Quasiparticle Self-Consistent G W Theory
journal, June 2006


Lead-free germanium iodide perovskite materials for photovoltaic applications
journal, January 2015

  • Krishnamoorthy, Thirumal; Ding, Hong; Yan, Chen
  • Journal of Materials Chemistry A, Vol. 3, Issue 47
  • DOI: 10.1039/C5TA05741H

First principles selection and design of mid-IR nonlinear optical halide crystals
journal, January 2013

  • Kang, Lei; Ramo, David Muñoz; Lin, Zheshuai
  • Journal of Materials Chemistry C, Vol. 1, Issue 44
  • DOI: 10.1039/c3tc31283f

Electron-Hole Diffusion Lengths Exceeding 1 Micrometer in an Organometal Trihalide Perovskite Absorber
journal, October 2013

  • Stranks, S. D.; Eperon, G. E.; Grancini, G.
  • Science, Vol. 342, Issue 6156, p. 341-344
  • DOI: 10.1126/science.1243982

Efficient planar heterojunction perovskite solar cells by vapour deposition
journal, September 2013

  • Liu, Mingzhen; Johnston, Michael B.; Snaith, Henry J.
  • Nature, Vol. 501, Issue 7467, p. 395-398
  • DOI: 10.1038/nature12509

The dynamics of methylammonium ions in hybrid organic–inorganic perovskite solar cells
journal, May 2015

  • Leguy, Aurelien M. A.; Frost, Jarvist Moore; McMahon, Andrew P.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms8124

Luminescence and structural transformations of CsSnCl3 crystals
journal, March 1994

  • Voloshinovskii, A. S.; Myagkota, S. V.; Pidzyrailo, N. S.
  • Journal of Applied Spectroscopy, Vol. 60, Issue 3-4
  • DOI: 10.1007/BF02606360

Efficient Hybrid Solar Cells Based on Meso-Superstructured Organometal Halide Perovskites
journal, October 2012


Synthesis and characterization of CsSnI3 thin films
journal, May 2010

  • Shum, Kai; Chen, Zhuo; Qureshi, Jawad
  • Applied Physics Letters, Vol. 96, Issue 22, Article No. 221903
  • DOI: 10.1063/1.3442511

Perovskite solar cells: an emerging photovoltaic technology
journal, March 2015


Fusion of the LAPW and LMTO methods: The augmented plane wave plus muffin-tin orbital method
journal, March 2010


Photoluminescence study of polycrystalline CsSnI3 thin films: Determination of exciton binding energy
journal, February 2012


Oscillatory effects and the magnetic susceptibility of carriers in inversion layers
journal, November 1984


Detailed Balance Limit of Efficiency of p‐n Junction Solar Cells
journal, March 1961

  • Shockley, William; Queisser, Hans J.
  • Journal of Applied Physics, Vol. 32, Issue 3, p. 510-519
  • DOI: 10.1063/1.1736034

A local exchange-correlation potential for the spin polarized case. i
journal, July 1972


Quasiparticle self-consistent G W method: A basis for the independent-particle approximation
journal, October 2007


Steric engineering of metal-halide perovskites with tunable optical band gaps
journal, December 2014

  • Filip, Marina R.; Eperon, Giles E.; Snaith, Henry J.
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms6757

Lattice dynamics in perovskite halides CsSn X 3 with X = I ,   Br ,   Cl
journal, November 2014


Luminescence and electrical conductivity of CsSnBr3, and related phases
journal, January 1981

  • Clark, Stephen J.; Flint, Colin D.; Donaldson, John D.
  • Journal of Physics and Chemistry of Solids, Vol. 42, Issue 3
  • DOI: 10.1016/0022-3697(81)90072-X

Elementary Electronic Structure
book, June 1999


CsSnI3 : Semiconductor or Metal? High Electrical Conductivity and Strong Near-Infrared Photoluminescence from a Single Material. High Hole Mobility and Phase-Transitions
journal, May 2012

  • Chung, In; Song, Jung-Hwan; Im, Jino
  • Journal of the American Chemical Society, Vol. 134, Issue 20, p. 8579-8587
  • DOI: 10.1021/ja301539s

Electronic structure and optical properties of rhombohedral CsGeI 3 crystal
journal, October 2000

  • Tang, Li-Chuan; Chang, Chen-Shiung; Tang, Li-Chuan
  • Journal of Physics: Condensed Matter, Vol. 12, Issue 43
  • DOI: 10.1088/0953-8984/12/43/303

Luminescence and electrical conductivity of CsSnBr3 and related phases
journal, January 1981


High-throughput electronic band structure calculations: challenges and tools
text, January 2010


Steric engineering of metal-halide perovskites with tunable optical band gaps
text, January 2014


Quasiparticle Self-Consistent GW Theory
text, January 2005


Quasiparticle self-consistent $GW$ method; a basis for the independent-particle approximation
text, January 2006


Works referencing / citing this record:

Materials Discovery of Stable and Nontoxic Halide Perovskite Materials for High‐Efficiency Solar Cells
journal, April 2019

  • Jacobs, Ryan; Luo, Guangfu; Morgan, Dane
  • Advanced Functional Materials, Vol. 29, Issue 23
  • DOI: 10.1002/adfm.201804354

Fully-Inorganic Trihalide Perovskite Nanocrystals: A New Research Frontier of Optoelectronic Materials
journal, June 2017


From Lead Halide Perovskites to Lead‐Free Metal Halide Perovskites and Perovskite Derivatives
journal, January 2019


Synthesis of Lead‐free CsGeI 3 Perovskite Colloidal Nanocrystals and Electron Beam‐induced Transformations
journal, May 2018

  • Wu, Xiaotong; Song, Weidong; Li, Qian
  • Chemistry – An Asian Journal, Vol. 13, Issue 13
  • DOI: 10.1002/asia.201800573

Bandgap Optimization of Perovskite Semiconductors for Photovoltaic Applications
journal, January 2018

  • Xiao, Zewen; Zhou, Yuanyuan; Hosono, Hideo
  • Chemistry - A European Journal, Vol. 24, Issue 10
  • DOI: 10.1002/chem.201705031

Lead‐Free Semiconductors: Soft Chemistry, Dimensionality Control, and Manganese‐Doping of Germanium Halide Perovskites
journal, January 2019


Band Gaps and Stability of CsSiX 3 Halides
journal, February 2019

  • Radha, Santosh K.; Lambrecht, Walter R. L.
  • physica status solidi (a), Vol. 216, Issue 15
  • DOI: 10.1002/pssa.201800962

Effect of chemical nature of atoms on the electronic, dielectric, and dynamical properties of ABX 3 halide perovskite
journal, May 2020

  • Ben Sadok, Raouia; Plugaru, Neculai; Birsan, Anca
  • International Journal of Quantum Chemistry, Vol. 120, Issue 10
  • DOI: 10.1002/qua.26172

Enhanced Stability and Tunable Photoluminescence in Perovskite CsPbX 3 /ZnS Quantum Dot Heterostructure
journal, April 2017


Progress on lead-free metal halide perovskites for photovoltaic applications: a review
journal, March 2017

  • Hoefler, Sebastian F.; Trimmel, Gregor; Rath, Thomas
  • Monatshefte für Chemie - Chemical Monthly, Vol. 148, Issue 5
  • DOI: 10.1007/s00706-017-1933-9

First-principles study of structural and optoelectronic properties of CsSnI3−yFy (y = 0, 1, 2, 3) perovskites
journal, October 2019

  • Amudhavalli, A.; Padmavathy, R.; Rajeswarapalanichamy, R.
  • Indian Journal of Physics, Vol. 94, Issue 9
  • DOI: 10.1007/s12648-019-01598-1

Dual phases of crystalline and electronic structures in the nanocrystalline perovskite CsPbBr3
journal, November 2019


Towards lead-free perovskite photovoltaics and optoelectronics by ab-initio simulations
journal, October 2017


Performance improvement of perovskite solar cells by employing a CdSe quantum dot/PCBM composite as an electron transport layer
journal, January 2017

  • Zeng, Xiaofeng; Zhou, Tingwei; Leng, Chongqian
  • Journal of Materials Chemistry A, Vol. 5, Issue 33
  • DOI: 10.1039/c7ta00203c

Oxyhalides: prospecting ore for optical functional materials with large laser damage thresholds
journal, January 2018

  • Yang, Zhihua; Hu, Cong; Mutailipu, Miriding
  • Journal of Materials Chemistry C, Vol. 6, Issue 10
  • DOI: 10.1039/c7tc04857b

Disappeared deep charge-states transition levels in the p-type intrinsic CsSnCl 3 perovskite
journal, May 2019

  • Zhang, Junyu; Su, Jie; Lin, Zhenhua
  • Applied Physics Letters, Vol. 114, Issue 18
  • DOI: 10.1063/1.5090420

Second-neighbor electron hopping and pressure induced topological quantum phase transition in insulating cubic perovskites
journal, December 2018