Title: Critical Assessment of the Thermodynamics of Vacancy Formation in Fe2O3 Using Hybrid Density Functional Theory

Journal Article · · Journal of Physical Chemistry. C

Fe2O3 hematite is a technologically important material with applications in energy storage as well as being the key phase formed in the rust of iron-based materials. Despite this central importance, there is much that is still unknown regarding the properties of defects in Fe2O3 and consequently oxide growth. In this work, using screened hybrid density functional theory (HSE06), we consider the thermodynamics of vacancies in Fe2O3, considering the effects of ionic and electronic chemical potentials on both iron and oxygen vacancy formation. We find that, in the oxygen-rich limit, iron vacancies are easier to form, though the difference in formation energy between the two vacancies is only about 1 eV. In contrast, in the Fe-rich limit, oxygen vacancies have an extremely low formation energy, only 0.07 eV at mid-gap, and would spontaneously form as the Fermi level is reduced, while Fe vacancies require over 5 eV to form. Consistent with experiment, this indicates that Fe2O3 is relatively easily reduced but not oxidized. However, the theoretical picture is very different when considering other exchange–correlation functionals (GGA + U or SCAN), emphasizing the critical role of the exchange–correlation functional in describing this system accurately.

Research Organization:
Energy Frontier Research Centers (EFRC) (United States). Fundamental Understanding of Transport Under Reactor Extremes (FUTURE); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1760602
Report Number(s):
LA-UR-20-24936
Journal Information:
Journal of Physical Chemistry. C, Journal Name: Journal of Physical Chemistry. C Journal Issue: 43 Vol. 124; ISSN 1932-7447
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (72)

The Iron Oxides Strike Back: From Biomedical Applications to Energy Storage Devices and Photoelectrochemical Water Splitting journal July 2011
The Influence of Oxygen Content on the Thermal Activation of Hematite Nanowires journal March 2012
Solar Water Splitting: Progress Using Hematite (α-Fe2O3) Photoelectrodes journal March 2011
Low-temperature oxidation journal January 1970
The Effect of Traces of SO2 on Iron Oxidation: A Microstructural Study journal February 2007
Cation self-diffusion and impurity diffusion in Fe2O3+ journal January 1985
The electrical, optical and photoconducting properties of Fe2−xCrxO3 (0 ⩽ x ⩽ 0.47) journal March 1979
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set journal July 1996
Vacancy formation energies in metals: A comparison of MetaGGA with LDA and GGA exchange–correlation functionals journal April 2015
PyCDT: A Python toolkit for modeling point defects in semiconductors and insulators journal May 2018
The history of the Point Defect Model for the passive state: A brief review of film growth aspects journal January 2011
High power density nitridated hematite (α-Fe2O3) nanorods as anode for high-performance flexible lithium ion batteries journal March 2016
Reliability of III–V devices – The defects that cause the trouble journal February 2012
Influence of the ab-initio calculation parameters on prediction of energy of point defects in silicon journal December 2015
Low-temperature oxidation of metal surfaces journal August 1997
X-ray photoelectron spectroscopic studies of iron oxides journal September 1977
When Density Functional Approximations Meet Iron Oxides journal September 2016
Vacancies and Vacancy-Mediated Self Diffusion in Cr 2 O 3 : A First-Principles Study journal January 2017
Formation and Migration of Oxygen Vacancies in SrCoO 3 and Their Effect on Oxygen Evolution Reactions journal July 2016
Neutron Diffraction Study of Mesoporous and Bulk Hematite, α-Fe 2 O 3 journal August 2008
Quasicubic α-Fe 2 O 3 Nanoparticles with Excellent Catalytic Performance journal February 2006
Synthesis of Hematite (α-Fe 2 O 3 ) Nanorods:  Diameter-Size and Shape Effects on Their Applications in Magnetism, Lithium Ion Battery, and Gas Sensors journal September 2006
Reliable electrochemical phase diagrams of magnetic transition metals and related compounds from high-throughput ab initio calculations journal June 2019
Testing variations of the GW approximation on strongly correlated transition metal oxides: hematite (α-Fe2O3) as a benchmark journal January 2011
Nanoscale oxidation and complex oxide growth on single crystal iron surfaces and external electric field effects journal January 2013
Thermodynamics of native point defects in α-Fe2O3: an ab initio study journal January 2013
Size-related native defect engineering in high intensity ultrasonication of nanoparticles for photoelectrochemical water splitting journal January 2013
Bandgap engineering of Fe 2 O 3 with Cr – application to photoelectrochemical oxidation journal January 2016
Hybrid functionals based on a screened Coulomb potential journal May 2003
Efficient hybrid density functional calculations in solids: Assessment of the Heyd–Scuseria–Ernzerhof screened Coulomb hybrid functional journal July 2004
Crystal structure and isothermal compression of Fe2O3, Cr2O3, and V2O3 to 50 kbars journal January 1980
Hybrid density functional theory band structure engineering in hematite journal June 2011
Investigation of a submerging redox behavior in Fe 2 O 3 solid electrolyte for resistive switching memory journal April 2019
NIST–JANAF Thermochemical Tables for the Bromine Oxides journal July 1996
Point defects and transport in haematite (Fe 2 O 3-ε ) journal October 1993
A study of hyperfine interactions in the system (Fe 1-x Rh x ) 2 O 3 using the Mossbauer effect (Bonding parameters) journal October 1971
Electronic structure of 3d-transition-metal oxides: on-site Coulomb repulsion versus covalency journal January 1999
Characterisation of negative- U defects in semiconductors journal May 2020
Electrical Properties of α Fe 2 O 3 and α Fe 2 O 3 Containing Titanium journal September 1951
Shortcomings of meta-GGA functionals when describing magnetism journal July 2020
Infrared lattice vibrations and dielectric dispersion in α − Fe 2 O 3 journal August 1977
Photoemission satellites and electronic structure of Fe 2 O 3 journal November 1986
Ab initiomolecular dynamics for liquid metals journal January 1993
Ab initio molecular-dynamics simulation of the liquid-metal–amorphous-semiconductor transition in germanium journal May 1994
Projector augmented-wave method journal December 1994
Periodic boundary conditions in ab initio calculations journal February 1995
Simplified generalized-gradient approximation and anharmonicity: Benchmark calculations on molecules journal March 1997
Electron-energy-loss spectra and the structural stability of nickel oxide: An LSDA+U study journal January 1998
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
Improved adsorption energetics within density-functional theory using revised Perdew-Burke-Ernzerhof functionals journal March 1999
First-principles calculation of the structure and magnetic phases of hematite journal April 2004
Ab initio study of the (0001) surfaces of hematite and chromia: Influence of strong electronic correlations journal September 2004
First-principles study of the structure and stability of oxygen defects in zinc oxide journal August 2005
Oxidation energies of transition metal oxides within the GGA + U framework journal May 2006
Comparison of screened hybrid density functional theory to diffusion Monte Carlo in calculations of total energies of silicon phases and defects journal September 2006
Supercell size scaling of density functional theory formation energies of charged defects journal January 2009
Formation enthalpies by mixing GGA and GGA + U calculations journal July 2011
Vacancy formation energies in fcc metals: Influence of exchange-correlation functionals and correction schemes journal April 2012
Role of screened exact exchange in accurately describing properties of transition metal oxides: Modeling defects in LaAlO 3 journal December 2013
Intrinsic Li Nb O 3 point defects from hybrid density functional calculations journal March 2014
Electrostatics-based finite-size corrections for first-principles point defect calculations journal May 2014
Strongly Constrained and Appropriately Normed Semilocal Density Functional journal July 2015
Chemical potential dependence of defect formation energies in GaAs: Application to Ga self-diffusion journal October 1991
Generalized Gradient Approximation Made Simple journal October 1996
Generalized Gradient Approximation Made Simple [Phys. Rev. Lett. 77, 3865 (1996)] journal February 1997
Climbing the Density Functional Ladder: Nonempirical Meta–Generalized Gradient Approximation Designed for Molecules and Solids journal September 2003
The density functional formalism, its applications and prospects journal July 1989
Direct-Current Conductivity and Iron Tracer Diffusion in Hematite at High Temperatures journal April 1972
Atomistic Simulation of Defect Structures and Ion Transport in alpha-Fe2O3 and alpha-Cr2O3 journal January 1988
Defects and Charge Transport near the Hematite (0001) Surface: An Atomistic Study of Oxygen Vacancies journal January 2002
Characterization And Evaluation Of Nano-Sized Α-Fe2O3 Pigments Synthesized Using Three Different Carboxylic Acid journal May 2013
Bandgap engineering in V-substituted α -Fe 2 O 3 photoelectrodes journal August 2019