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

Title: Equation of state, phase transitions, and band-gap closure in Pb Cl 2 and Sn Cl 2

Abstract

The equations of state and band-gap closures for Pb Cl2 and Sn Cl2 were studied using both experimental and theoretical methods. Here we measured the volume of both materials to a maximum pressure of 70 GPa using synchrotron-based angle-dispersive powder x-ray diffraction. The lattice parameters for both compounds showed anomalous changes between 16–32 GPa, providing evidence of a phase transition from the cotunnite structure to the related Co2 Si structure, in contrast to the postcotunnite structure as previously suggested. First-principles calculations confirm this finding and predict a second phase transition to a Co2 Si-like structure between 75– 110 GPa in Pb Cl2 and 60–75 GPa in Sn Cl2. Band gaps were measured under compression to ~70 GPa for Pb Cl2 and ~66 GPa for Sn Cl2 and calculated up to 200 GPa for Pb CI2 and 120 GPa for Sn Cl2. We find an excellent agreement between our experimental and theoretical results when using the Heyd-Scuseria-Ernzerhof (HSE06) hybrid functional, which suggests that this functional could reliably be used to calculate the band gap of similar AX2 compounds. Experimental and calculated band-gap results show discontinuous decreases in the band gap corresponding to phase changes to higher-coordinated crystal structures, giving insight intomore » the relationship between interatomic geometry and metallicity.« less

Authors:
 [1];  [2];  [1];  [3];  [1];  [4];  [1]
  1. Univ. of California, Berkeley, CA (United States)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  3. University of Leeds (United Kingdom)
  4. Univ. of California, Santa Cruz, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). Advanced Light Source (ALS)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES); Natural Environment Research Council (NERC)
OSTI Identifier:
1972037
Report Number(s):
LLNL-JRNL-815142
Journal ID: ISSN 2469-9950; 1023161; TRN: US2313748
Grant/Contract Number:  
AC52-07NA27344; NA0004032; AC02-05CH11231; EAR-1620423; EAR 16–06856; NE/K006290/1
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. B
Additional Journal Information:
Journal Volume: 107; Journal Issue: 13; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; high-pressure studies; metal-insulator transition; density functional theory; x-ray powder diffraction; AX2 compounds; SnCI2; metallization

Citation Formats

Smart, T. J., O’Bannon, E. F., Diamond, M. R., Stackhouse, S., Godwal, B. K., Williams, Q., and Jeanloz, R. Equation of state, phase transitions, and band-gap closure in PbCl2 and SnCl2. United States: N. p., 2023. Web. doi:10.1103/physrevb.107.134113.
Smart, T. J., O’Bannon, E. F., Diamond, M. R., Stackhouse, S., Godwal, B. K., Williams, Q., & Jeanloz, R. Equation of state, phase transitions, and band-gap closure in PbCl2 and SnCl2. United States. https://doi.org/10.1103/physrevb.107.134113
Smart, T. J., O’Bannon, E. F., Diamond, M. R., Stackhouse, S., Godwal, B. K., Williams, Q., and Jeanloz, R. Thu . "Equation of state, phase transitions, and band-gap closure in PbCl2 and SnCl2". United States. https://doi.org/10.1103/physrevb.107.134113. https://www.osti.gov/servlets/purl/1972037.
@article{osti_1972037,
title = {Equation of state, phase transitions, and band-gap closure in PbCl2 and SnCl2},
author = {Smart, T. J. and O’Bannon, E. F. and Diamond, M. R. and Stackhouse, S. and Godwal, B. K. and Williams, Q. and Jeanloz, R.},
abstractNote = {The equations of state and band-gap closures for Pb Cl2 and Sn Cl2 were studied using both experimental and theoretical methods. Here we measured the volume of both materials to a maximum pressure of 70 GPa using synchrotron-based angle-dispersive powder x-ray diffraction. The lattice parameters for both compounds showed anomalous changes between 16–32 GPa, providing evidence of a phase transition from the cotunnite structure to the related Co2 Si structure, in contrast to the postcotunnite structure as previously suggested. First-principles calculations confirm this finding and predict a second phase transition to a Co2 Si-like structure between 75– 110 GPa in Pb Cl2 and 60–75 GPa in Sn Cl2. Band gaps were measured under compression to ~70 GPa for Pb Cl2 and ~66 GPa for Sn Cl2 and calculated up to 200 GPa for Pb CI2 and 120 GPa for Sn Cl2. We find an excellent agreement between our experimental and theoretical results when using the Heyd-Scuseria-Ernzerhof (HSE06) hybrid functional, which suggests that this functional could reliably be used to calculate the band gap of similar AX2 compounds. Experimental and calculated band-gap results show discontinuous decreases in the band gap corresponding to phase changes to higher-coordinated crystal structures, giving insight into the relationship between interatomic geometry and metallicity.},
doi = {10.1103/physrevb.107.134113},
journal = {Physical Review. B},
number = 13,
volume = 107,
place = {United States},
year = {Thu Apr 20 00:00:00 EDT 2023},
month = {Thu Apr 20 00:00:00 EDT 2023}
}

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

Temperature-dependent Raman study of tin(II) chloride
journal, October 1990


High-pressure x-ray diffraction study of CeO 2 to 70 GPa and pressure-induced phase transformation from the fluorite structure
journal, October 1988

  • Duclos, Steven J.; Vohra, Yogesh K.; Ruoff, Arthur L.
  • Physical Review B, Vol. 38, Issue 11
  • DOI: 10.1103/PhysRevB.38.7755

Local structure of molten AuGa2 under pressure: Evidence for coordination change and planetary implications
journal, May 2018


Projector augmented-wave method
journal, December 1994


Laser-shocked calcium difluoride (CaF 2 ) as a warm dense matter
journal, March 2020

  • Shu, Hua; Zhang, Youjun; Wang, Bihan
  • Physics of Plasmas, Vol. 27, Issue 3
  • DOI: 10.1063/1.5135596

The Post-Cotunnite Phase in BaCl2, BaBr2 and BaI2 under High Pressure
journal, August 1995


Superconducting Hydrides Under Pressure
journal, March 2020


Prediction of 10-fold coordinated TiO 2 and SiO 2 structures at multimegabar pressures
journal, May 2015

  • Lyle, Matthew J.; Pickard, Chris J.; Needs, Richard J.
  • Proceedings of the National Academy of Sciences, Vol. 112, Issue 22
  • DOI: 10.1073/pnas.1500604112

Fluid helium at conditions of giant planetary interiors
journal, August 2008

  • Stixrude, L.; Jeanloz, R.
  • Proceedings of the National Academy of Sciences, Vol. 105, Issue 32
  • DOI: 10.1073/pnas.0804609105

The high pressure behaviour of the cotunnite and post-cotunnite phases of PbCl2 and SnCl2
journal, January 1996


Insulator-to-Conducting Transition in Dense Fluid Helium
journal, May 2010


From ultrasoft pseudopotentials to the projector augmented-wave method
journal, January 1999


High-pressure polymorphism of Pb F 2 to 75 GPa
journal, July 2016


VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data
journal, October 2011


Alternative Descriptions of the C23 (PbCl2), C37 (Co2Si), B8b (Ni2In) and Related Structure Types.
journal, January 1992


High-pressure structural changes in liquid silica
journal, September 2016


Accurate Band Gaps for Semiconductors from Density Functional Theory
journal, January 2011

  • Xiao, Hai; Tahir-Kheli, Jamil; Goddard, William A.
  • The Journal of Physical Chemistry Letters, Vol. 2, Issue 3
  • DOI: 10.1021/jz101565j

Density functional theory in the solid state
journal, March 2014

  • Hasnip, Philip J.; Refson, Keith; Probert, Matt I. J.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 372, Issue 2011
  • DOI: 10.1098/rsta.2013.0270

An ab-initio study of the rôle of lone pairs in the structure and insulator–metal transition in SnO and PbO
journal, April 2002


Pressure Effects on the Electronic and Optical Properties in Low-Dimensional Metal Halide Perovskites
journal, May 2020


Structural properties of NaCl and KCl under pressure
journal, May 1986


DIOPTAS : a program for reduction of two-dimensional X-ray diffraction data and data exploration
journal, May 2015


High-pressure phases in SnO 2 to 117 GPa
journal, January 2006


First-principle study on structural and electronic properties of CeO 2 and ThO 2 under high pressures
journal, May 2013


Shock compression of stishovite and melting of silica at planetary interior conditions
journal, January 2015


Physical Content of the Exact Kohn-Sham Orbital Energies: Band Gaps and Derivative Discontinuities
journal, November 1983


Electronic structure and optical properties of lead chloride
journal, February 2009

  • Sobolev, V. V.; Kalugin, A. I.; Vostrikov, I. V.
  • Journal of Surface Investigation. X-ray, Synchrotron and Neutron Techniques, Vol. 3, Issue 1
  • DOI: 10.1134/S1027451009010091

The crystal structure of MoCoB and related compounds
journal, July 1968

  • Jeitschko, W.
  • Acta Crystallographica Section B Structural Crystallography and Crystal Chemistry, Vol. 24, Issue 7
  • DOI: 10.1107/S0567740868003432

Shock wave equation of state and finite strain theory
journal, January 1989


Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set
journal, July 1996


Predicting Band Gaps with Hybrid Density Functionals
journal, October 2016

  • Garza, Alejandro J.; Scuseria, Gustavo E.
  • The Journal of Physical Chemistry Letters, Vol. 7, Issue 20
  • DOI: 10.1021/acs.jpclett.6b01807

Measurements of CsI band-gap closure to 93 GPa
journal, January 1986


Influence of the exchange screening parameter on the performance of screened hybrid functionals
journal, December 2006

  • Krukau, Aliaksandr V.; Vydrov, Oleg A.; Izmaylov, Artur F.
  • The Journal of Chemical Physics, Vol. 125, Issue 22
  • DOI: 10.1063/1.2404663

High-pressure x-ray- and neutron-diffraction studies of BaF 2 : An example of a coordination number of 11 in AX 2 compounds
journal, November 1995


Special points for Brillouin-zone integrations
journal, June 1976

  • Monkhorst, Hendrik J.; Pack, James D.
  • Physical Review B, Vol. 13, Issue 12, p. 5188-5192
  • DOI: 10.1103/PhysRevB.13.5188

High-pressure transitions to a postcotunnite phase in ionic AX 2 compounds
journal, February 1995


Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996


The high-pressure phase transition sequence from the rutile-type through to the cotunnite-type structure in
journal, March 1996


Structure-dependence of electrical conductivity and electrocatalytic properties of Sr2Mn2O6 and CaSrMn2O6
journal, November 2019


Inert Pair Effects in Tin and Lead Dihalides: Crystal Structure of Tin(II) Bromide
journal, January 2000

  • Abrahams, I.; Demetriou, D. Z.
  • Journal of Solid State Chemistry, Vol. 149, Issue 1
  • DOI: 10.1006/jssc.1999.8489

Optical properties of SnCl 2 phosphor
journal, April 2011

  • Nara, Jun-ichi; Adachi, Sadao
  • Journal of Applied Physics, Vol. 109, Issue 8
  • DOI: 10.1063/1.3576118

On the nature of pressure-induced coordination changes in silicate melts and glasses
journal, December 1987

  • Stolper, Edward M.; Ahrens, Thomas J.
  • Geophysical Research Letters, Vol. 14, Issue 12
  • DOI: 10.1029/GL014i012p01231

Structural stability of silica at high pressures and temperatures
journal, February 2005


High-precision equation of state data for TiO 2 : A structural analog of SiO 2
journal, July 2020


Lattice vibrations in lead bromide and chloride
journal, January 1991


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

Ab initio elasticity and thermal equation of state of MgSiO3 perovskite
journal, January 2001

  • Oganov, Artem R.; Brodholt, John P.; Price, G. David
  • Earth and Planetary Science Letters, Vol. 184, Issue 3-4
  • DOI: 10.1016/S0012-821X(00)00363-0

Electronic and structural properties of SnO under pressure
journal, July 2005


Phase relations and equation of state of ZrO 2 to 100 GPa
journal, September 2005

  • Ohtaka, Osamu; Andrault, Denis; Bouvier, Pierre
  • Journal of Applied Crystallography, Vol. 38, Issue 5
  • DOI: 10.1107/S0021889805018145

Band structures of CsCl-structured BaS and CaSe at high pressure: Implications for metallization pressures of the alkaline earth chalcogenides
journal, October 1998

  • Cervantes, Phillip; Williams, Quentin; Côté, Michel
  • Physical Review B, Vol. 58, Issue 15
  • DOI: 10.1103/PhysRevB.58.9793

Two-dimensional detector software: From real detector to idealised image or two-theta scan
journal, January 1996

  • Hammersley, A. P.; Svensson, S. O.; Hanfland, M.
  • High Pressure Research, Vol. 14, Issue 4-6, p. 235-248
  • DOI: 10.1080/08957959608201408