Revealing Electronic Signatures of Lattice Oxygen Redox in Lithium Ruthenates and Implications for High-Energy Li-Ion Battery Material Designs
Abstract
Anion redox in lithium transition-metal oxides such as Li2RuO3 and Li2MnO3 has catalyzed intensive research efforts to find transition-metal oxides with anion redox that may boost the energy density of lithium-ion batteries. The physical origin of the observed anion redox remains debatable, and more direct experimental evidence is needed. In this work, we have shown electronic signatures of oxygen-oxygen coupling, direct evidence central to lattice oxygen redox (O2-/(O-2)(n-)), in charged Li2-xRuO3 after Ru oxidation (Ru-4(+)/Ru5+) upon first electron removal with lithium deintercalation. Experimental Ru L-3-edge high-energy-resolution fluorescence-detected X-ray absorption spectra (HERFD-XAS), supported by ab initio simulations, revealed that the increased intensity in the high-energy shoulder upon lithium deintercalation resulted from increased O-O coupling, inducing (O-O) sigma*-like states with pi overlap with Ru d-manifolds, in agreement with O K-edge XAS spectra. Experimental and simulated O K-edge X-ray emission spectra further supported this observation with the broadening of the oxygen nonbonding feature upon charging, also originated from (O-O) sigma* states. This lattice oxygen redox of Li2-xRuO3 was accompanied by a small amount of O-2 evolution in the first charge from differential electrochemistry mass spectrometry but diminished in the subsequent cycles, in agreement with the more reduced states of Ru in later cyclesmore »
- Authors:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Materials Science and Engineering
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Research Lab. of Electronics
- Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS)
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Advanced Light Source (ALS)
- National Institute of Standards and Technology, Gaithersburg 20899, Maryland, United States
- BMW Group, Petuelring 130, Munich 80788, Germany
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Materials Science and Engineering, Research Lab. of Electronics, Dept. of Mechanical Engineering
- Publication Date:
- Research Org.:
- Argonne National Laboratory (ANL), Argonne, IL (United States); SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Sponsoring Org.:
- National Science Foundation (NSF); USDOE Office of Science (SC)
- OSTI Identifier:
- 1576798
- Alternate Identifier(s):
- OSTI ID: 1615148
- Grant/Contract Number:
- AC02-76SF00515; AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Chemistry of Materials
- Additional Journal Information:
- Journal Volume: 31; Journal Issue: 19; Journal ID: ISSN 0897-4756
- Publisher:
- American Chemical Society (ACS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 25 ENERGY STORAGE
Citation Formats
Yu, Yang, Karayaylali, Pinar, Nowak, Stanisław H., Giordano, Livia, Gauthier, Magali, Hong, Wesley, Kou, Ronghui, Li, Qinghao, Vinson, John, Kroll, Thomas, Sokaras, Dimosthenis, Sun, Cheng-Jun, Charles, Nenian, Maglia, Filippo, Jung, Roland, and Shao-Horn, Yang. Revealing Electronic Signatures of Lattice Oxygen Redox in Lithium Ruthenates and Implications for High-Energy Li-Ion Battery Material Designs. United States: N. p., 2019.
Web. doi:10.1021/acs.chemmater.9b01821.
Yu, Yang, Karayaylali, Pinar, Nowak, Stanisław H., Giordano, Livia, Gauthier, Magali, Hong, Wesley, Kou, Ronghui, Li, Qinghao, Vinson, John, Kroll, Thomas, Sokaras, Dimosthenis, Sun, Cheng-Jun, Charles, Nenian, Maglia, Filippo, Jung, Roland, & Shao-Horn, Yang. Revealing Electronic Signatures of Lattice Oxygen Redox in Lithium Ruthenates and Implications for High-Energy Li-Ion Battery Material Designs. United States. https://doi.org/10.1021/acs.chemmater.9b01821
Yu, Yang, Karayaylali, Pinar, Nowak, Stanisław H., Giordano, Livia, Gauthier, Magali, Hong, Wesley, Kou, Ronghui, Li, Qinghao, Vinson, John, Kroll, Thomas, Sokaras, Dimosthenis, Sun, Cheng-Jun, Charles, Nenian, Maglia, Filippo, Jung, Roland, and Shao-Horn, Yang. Mon .
"Revealing Electronic Signatures of Lattice Oxygen Redox in Lithium Ruthenates and Implications for High-Energy Li-Ion Battery Material Designs". United States. https://doi.org/10.1021/acs.chemmater.9b01821. https://www.osti.gov/servlets/purl/1576798.
@article{osti_1576798,
title = {Revealing Electronic Signatures of Lattice Oxygen Redox in Lithium Ruthenates and Implications for High-Energy Li-Ion Battery Material Designs},
author = {Yu, Yang and Karayaylali, Pinar and Nowak, Stanisław H. and Giordano, Livia and Gauthier, Magali and Hong, Wesley and Kou, Ronghui and Li, Qinghao and Vinson, John and Kroll, Thomas and Sokaras, Dimosthenis and Sun, Cheng-Jun and Charles, Nenian and Maglia, Filippo and Jung, Roland and Shao-Horn, Yang},
abstractNote = {Anion redox in lithium transition-metal oxides such as Li2RuO3 and Li2MnO3 has catalyzed intensive research efforts to find transition-metal oxides with anion redox that may boost the energy density of lithium-ion batteries. The physical origin of the observed anion redox remains debatable, and more direct experimental evidence is needed. In this work, we have shown electronic signatures of oxygen-oxygen coupling, direct evidence central to lattice oxygen redox (O2-/(O-2)(n-)), in charged Li2-xRuO3 after Ru oxidation (Ru-4(+)/Ru5+) upon first electron removal with lithium deintercalation. Experimental Ru L-3-edge high-energy-resolution fluorescence-detected X-ray absorption spectra (HERFD-XAS), supported by ab initio simulations, revealed that the increased intensity in the high-energy shoulder upon lithium deintercalation resulted from increased O-O coupling, inducing (O-O) sigma*-like states with pi overlap with Ru d-manifolds, in agreement with O K-edge XAS spectra. Experimental and simulated O K-edge X-ray emission spectra further supported this observation with the broadening of the oxygen nonbonding feature upon charging, also originated from (O-O) sigma* states. This lattice oxygen redox of Li2-xRuO3 was accompanied by a small amount of O-2 evolution in the first charge from differential electrochemistry mass spectrometry but diminished in the subsequent cycles, in agreement with the more reduced states of Ru in later cycles from Ru L-3-edge HERFD-XAS. These observations indicated that Ru redox contributed more to discharge capacities after the first cycle. This study has pinpointed the key spectral fingerprints related to lattice oxygen redox from a molecular level and constructed a transferrable framework to rationally interpret the spectroscopic features by combining advanced experiments and theoretical calculations to design materials for Li-ion batteries and electrocatalysis applications.},
doi = {10.1021/acs.chemmater.9b01821},
journal = {Chemistry of Materials},
number = 19,
volume = 31,
place = {United States},
year = {Mon Sep 09 00:00:00 EDT 2019},
month = {Mon Sep 09 00:00:00 EDT 2019}
}
Web of Science
Works referenced in this record:
LixCoO2 (0<x<-1): A new cathode material for batteries of high energy density
journal, June 1980
- Mizushima, K.; Jones, P. C.; Wiseman, P. J.
- Materials Research Bulletin, Vol. 15, Issue 6
Cobalt dissolution in LiCoO2-based non-aqueous rechargeable batteries
journal, January 1996
- Amatucci, G. G.; Tarascon, J. M.; Klein, L. C.
- Solid State Ionics, Vol. 83, Issue 1-2, p. 167-173
LixNiO2, a promising cathode for rechargeable lithium batteries
journal, March 1995
- Broussely, M.; Perton, F.; Biensan, P.
- Journal of Power Sources, Vol. 54, Issue 1
Oxygen Release and Its Effect on the Cycling Stability of LiNi x Mn y Co z O 2 (NMC) Cathode Materials for Li-Ion Batteries
journal, January 2017
- Jung, Roland; Metzger, Michael; Maglia, Filippo
- Journal of The Electrochemical Society, Vol. 164, Issue 7
Orthorhombic LiMnO[sub 2] as a High Capacity Cathode for Li-Ion Cells
journal, January 1995
- Koetschau, I.
- Journal of The Electrochemical Society, Vol. 142, Issue 9
Lithium Intercalation into Layered LiMnO[sub 2]
journal, January 1997
- Vitins, G.
- Journal of The Electrochemical Society, Vol. 144, Issue 8
Challenges for Rechargeable Li Batteries
journal, February 2010
- Goodenough, John B.; Kim, Youngsik
- Chemistry of Materials, Vol. 22, Issue 3, p. 587-603
Anionic redox processes for electrochemical devices
journal, January 2016
- Grimaud, A.; Hong, W. T.; Shao-Horn, Y.
- Nature Materials, Vol. 15, Issue 2
Fundamental understanding and practical challenges of anionic redox activity in Li-ion batteries
journal, April 2018
- Assat, Gaurav; Tarascon, Jean-Marie
- Nature Energy, Vol. 3, Issue 5
Estimation of Electronegativity Values of Elements in Different Valence States
journal, October 2006
- Li, Keyan; Xue, Dongfeng
- The Journal of Physical Chemistry A, Vol. 110, Issue 39
Approaching the limits of cationic and anionic electrochemical activity with the Li-rich layered rocksalt Li3IrO4
journal, December 2017
- Perez, Arnaud J.; Jacquet, Quentin; Batuk, Dmitry
- Nature Energy, Vol. 2, Issue 12
Electron paramagnetic resonance imaging for real-time monitoring of Li-ion batteries
journal, February 2015
- Sathiya, M.; Leriche, J. -B.; Salager, E.
- Nature Communications, Vol. 6, Issue 1
High Performance Li 2 Ru 1– y Mn y O 3 (0.2 ≤ y ≤ 0.8) Cathode Materials for Rechargeable Lithium-Ion Batteries: Their Understanding
journal, March 2013
- Sathiya, M.; Ramesha, K.; Rousse, G.
- Chemistry of Materials, Vol. 25, Issue 7
Demonstrating Oxygen Loss and Associated Structural Reorganization in the Lithium Battery Cathode Li[Ni0.2Li0.2Mn0.6]O2
journal, June 2006
- Armstrong, A. Robert; Holzapfel, Michael; Novák, Petr
- Journal of the American Chemical Society, Vol. 128, Issue 26
The significance of the Li2MnO3 component in ‘composite’ xLi2MnO3·(1−x)LiMn0.5Ni0.5O2 electrodes
journal, October 2004
- Johnson, C. S.; Kim, J-S.; Lefief, C.
- Electrochemistry Communications, Vol. 6, Issue 10, p. 1085-1091
Synthesis, Characterization and Electrochemistry of Lithium Battery Electrodes: x Li 2 MnO 3 ·(1 − x )LiMn 0.333 Ni 0.333 Co 0.333 O 2 (0 ≤ x ≤ 0.7)
journal, October 2008
- Johnson, Christopher S.; Li, Naichao; Lefief, Christina
- Chemistry of Materials, Vol. 20, Issue 19
Advances in manganese-oxide ‘composite’ electrodes for lithium-ion batteries
journal, March 2005
- Thackeray, Michael M.; Johnson, Christopher S.; Vaughey, John T.
- Journal of Materials Chemistry, Vol. 15, Issue 23, p. 2257-2267
Electrical energy storage for transportation—approaching the limits of, and going beyond, lithium-ion batteries
journal, January 2012
- Thackeray, Michael M.; Wolverton, Christopher; Isaacs, Eric D.
- Energy & Environmental Science, Vol. 5, Issue 7
Exploring Lithium-Cobalt-Nickel Oxide Spinel Electrodes for ≥3.5 V Li-Ion Cells
journal, October 2016
- Lee, Eungje; Blauwkamp, Joel; Castro, Fernando C.
- ACS Applied Materials & Interfaces, Vol. 8, Issue 41
First-Cycle Evolution of Local Structure in Electrochemically Activated Li 2 MnO 3
journal, December 2014
- Croy, Jason R.; Park, Joong Sun; Dogan, Fulya
- Chemistry of Materials, Vol. 26, Issue 24
Review of the U.S. Department of Energy’s “Deep Dive” Effort to Understand Voltage Fade in Li- and Mn-Rich Cathodes
journal, October 2015
- Croy, Jason R.; Balasubramanian, Mahalingam; Gallagher, Kevin G.
- Accounts of Chemical Research, Vol. 48, Issue 11
Synthesis of layered–layered 0.5Li2MnO3·0.5LiCoO2 nanocomposite electrode materials by the mechanochemical process and first principles study
journal, January 2012
- Kim, Soo; Kim, Chunjoong; Jhon, Young-In
- Journal of Materials Chemistry, Vol. 22, Issue 48
Electrochemical Activities in Li[sub 2]MnO[sub 3]
journal, January 2009
- Yu, Denis Y. W.; Yanagida, Katsunori; Kato, Yoshio
- Journal of The Electrochemical Society, Vol. 156, Issue 6
Effects of transition metal doping and surface treatment to improve the electrochemical performance of Li2MnO3
journal, February 2013
- Kim, Soo; Noh, Jae-Kyo; Yu, Seungho
- Journal of Electroceramics, Vol. 30, Issue 3
Mechanism of Electrochemical Activity in Li 2 MnO 3
journal, May 2003
- Robertson, Alastair D.; Bruce, Peter G.
- Chemistry of Materials, Vol. 15, Issue 10
Development and utility of manganese oxides as cathodes in lithium batteries
journal, March 2007
- Johnson, Christopher S.
- Journal of Power Sources, Vol. 165, Issue 2
Cycle mechanism and electrochemical properties of lithium manganese oxide prepared using different Mn sources
journal, December 2008
- Park, S. H.; Ahn, H. S.; Park, G. J.
- Materials Chemistry and Physics, Vol. 112, Issue 2
Powder property and electrochemical characterization of Li2MnO3 material
journal, April 2007
- Park, Sang-Ho; Sato, Yuichi; Kim, Jae-KooK
- Materials Chemistry and Physics, Vol. 102, Issue 2-3
Charge-compensation in 3d-transition-metal-oxide intercalation cathodes through the generation of localized electron holes on oxygen
journal, March 2016
- Luo, Kun; Roberts, Matthew R.; Hao, Rong
- Nature Chemistry, Vol. 8, Issue 7
Evolution of redox couples in Li- and Mn-rich cathode materials and mitigation of voltage fade by reducing oxygen release
journal, July 2018
- Hu, Enyuan; Yu, Xiqian; Lin, Ruoqian
- Nature Energy, Vol. 3, Issue 8
Coupling between oxygen redox and cation migration explains unusual electrochemistry in lithium-rich layered oxides
journal, December 2017
- Gent, William E.; Lim, Kipil; Liang, Yufeng
- Nature Communications, Vol. 8, Issue 1
Origin of voltage decay in high-capacity layered oxide electrodes
journal, December 2014
- Sathiya, M.; Abakumov, A. M.; Foix, D.
- Nature Materials, Vol. 14, Issue 2
Reversible anionic redox chemistry in high-capacity layered-oxide electrodes
journal, July 2013
- Sathiya, M.; Rousse, G.; Ramesha, K.
- Nature Materials, Vol. 12, Issue 9
Evidence for anionic redox activity in a tridimensional-ordered Li-rich positive electrode β-Li2IrO3
journal, February 2017
- Pearce, Paul E.; Perez, Arnaud J.; Rousse, Gwenaelle
- Nature Materials, Vol. 16, Issue 5
Visualization of O-O peroxo-like dimers in high-capacity layered oxides for Li-ion batteries
journal, December 2015
- McCalla, E.; Abakumov, A. M.; Saubanere, M.
- Science, Vol. 350, Issue 6267
Surface analysis by Auger and x-ray photoelectron spectroscopy. D. Briggs and J. T. Grant (eds). IMPublications, Chichester, UK and SurfaceSpectra, Manchester, UK, 2003. 900 pp., ISBN 1-901019-04-7, 900 pp
journal, January 2004
- Matthew, Jim
- Surface and Interface Analysis, Vol. 36, Issue 13
The structural and chemical origin of the oxygen redox activity in layered and cation-disordered Li-excess cathode materials
journal, May 2016
- Seo, Dong-Hwa; Lee, Jinhyuk; Urban, Alexander
- Nature Chemistry, Vol. 8, Issue 7
Enabling the high capacity of lithium-rich anti-fluorite lithium iron oxide by simultaneous anionic and cationic redox
journal, December 2017
- Zhan, Chun; Yao, Zhenpeng; Lu, Jun
- Nature Energy, Vol. 2, Issue 12
Metal–oxygen decoordination stabilizes anion redox in Li-rich oxides
journal, February 2019
- Hong, Jihyun; Gent, William E.; Xiao, Penghao
- Nature Materials, Vol. 18, Issue 3
High Reversibility of Lattice Oxygen Redox Quantified by Direct Bulk Probes of Both Anionic and Cationic Redox Reactions
journal, February 2019
- Dai, Kehua; Wu, Jinpeng; Zhuo, Zengqing
- Joule, Vol. 3, Issue 2
Spectroscopic Signature of Oxidized Oxygen States in Peroxides
journal, October 2018
- Zhuo, Zengqing; Pemmaraju, Chaitanya Das; Vinson, John
- The Journal of Physical Chemistry Letters, Vol. 9, Issue 21
Efficient implementation of core-excitation Bethe–Salpeter equation calculations
journal, December 2015
- Gilmore, K.; Vinson, John; Shirley, E. L.
- Computer Physics Communications, Vol. 197
Effect of disorder on the dimer transition of the honeycomb-lattice compound
journal, February 2016
- Jimenez-Segura, Marco-Polo; Ikeda, Atsutoshi; Yonezawa, Shingo
- Physical Review B, Vol. 93, Issue 7
Lithium-Ion Batteries: Understanding the Stability for Li-Rich Layered Oxide Li 2 RuO 3 Cathode (Adv. Funct. Mater. 9/2016)
journal, March 2016
- Li, Biao; Shao, Ruiwen; Yan, Huijun
- Advanced Functional Materials, Vol. 26, Issue 9
X-ray absorption spectra of ruthenium L edges in hexaammineruthenium trichloride
journal, April 1983
- Sham, T. K.
- Journal of the American Chemical Society, Vol. 105, Issue 8
Understanding the Electronic Structure of 4d Metal Complexes: From Molecular Spinors to L-Edge Spectra of a di-Ru Catalyst
journal, October 2011
- Alperovich, Igor; Smolentsev, Grigory; Moonshiram, Dooshaye
- Journal of the American Chemical Society, Vol. 133, Issue 39
Ligand field strengths and oxidation states from manganese L-edge spectroscopy
journal, October 1991
- Cramer, S. P.; DeGroot, F. M. F.; Ma, Y.
- Journal of the American Chemical Society, Vol. 113, Issue 21
Proton Ion Exchange Reaction in Li 3 IrO 4 : A Way to New H 3+ x IrO 4 Phases Electrochemically Active in Both Aqueous and Nonaqueous Electrolytes
journal, January 2018
- Perez, Arnaud J.; Beer, Robin; Lin, Zifeng
- Advanced Energy Materials, Vol. 8, Issue 13
XRD and XAFS study on structure and cation valence state of layered ruthenium oxide electrodes, Li2RuO3 and Li2Mn0.4Ru0.6O3, upon electrochemical cycling
journal, February 2016
- Mori, Daisuke; Kobayashi, Hironori; Okumura, Toyoki
- Solid State Ionics, Vol. 285
Oxygen Contribution on Li-Ion Intercalation−Deintercalation in LiCoO 2 Investigated by O K-Edge and Co L-Edge X-ray Absorption Spectroscopy
journal, March 2002
- Yoon, Won-Sub; Kim, Kwang-Bum; Kim, Min-Gyu
- The Journal of Physical Chemistry B, Vol. 106, Issue 10
Changes in the Electronic Structure of Chemically Deintercalated LiCoO[sub 2]
journal, January 1999
- Montoro, L. A.
- Electrochemical and Solid-State Letters, Vol. 3, Issue 9
Combining In Situ Synchrotron X-Ray Diffraction and Absorption Techniques with Transmission Electron Microscopy to Study the Origin of Thermal Instability in Overcharged Cathode Materials for Lithium-Ion Batteries
journal, June 2012
- Nam, Kyung-Wan; Bak, Seong-Min; Hu, Enyuan
- Advanced Functional Materials, Vol. 23, Issue 8
Superoxide Ion: Generation and Chemical Implications
journal, February 2016
- Hayyan, Maan; Hashim, Mohd Ali; AlNashef, Inas M.
- Chemical Reviews, Vol. 116, Issue 5
An ab initio study on the equilibrium structure and torsional potential energy function of hydrogen peroxide
journal, April 1995
- Koput, Jacek
- Chemical Physics Letters, Vol. 236, Issue 4-5
Probing LaMO 3 Metal and Oxygen Partial Density of States Using X-ray Emission, Absorption, and Photoelectron Spectroscopy
journal, January 2015
- Hong, Wesley T.; Stoerzinger, Kelsey A.; Moritz, Brian
- The Journal of Physical Chemistry C, Vol. 119, Issue 4
Crystal orbital Hamilton populations (COHP): energy-resolved visualization of chemical bonding in solids based on density-functional calculations
journal, August 1993
- Dronskowski, Richard; Bloechl, Peter E.
- The Journal of Physical Chemistry, Vol. 97, Issue 33
Crystal Orbital Hamilton Population (COHP) Analysis As Projected from Plane-Wave Basis Sets
journal, June 2011
- Deringer, Volker L.; Tchougréeff, Andrei L.; Dronskowski, Richard
- The Journal of Physical Chemistry A, Vol. 115, Issue 21
Redox Processes of Manganese Oxide in Catalyzing Oxygen Evolution and Reduction: An in Situ Soft X-ray Absorption Spectroscopy Study
journal, August 2017
- Risch, Marcel; Stoerzinger, Kelsey A.; Han, Binghong
- The Journal of Physical Chemistry C, Vol. 121, Issue 33
Residual Lithium Carbonate Predominantly Accounts for First Cycle CO 2 and CO Outgassing of Li-Stoichiometric and Li-Rich Layered Transition-Metal Oxides
journal, November 2017
- Renfrew, Sara E.; McCloskey, Bryan D.
- Journal of the American Chemical Society, Vol. 139, Issue 49
Electrochemical Oxidation of Lithium Carbonate Generates Singlet Oxygen
journal, April 2018
- Mahne, Nika; Renfrew, Sara E.; McCloskey, Bryan D.
- Angewandte Chemie International Edition, Vol. 57, Issue 19
Singlet oxygen evolution from layered transition metal oxide cathode materials and its implications for lithium-ion batteries
journal, October 2018
- Wandt, Johannes; Freiberg, Anna T. S.; Ogrodnik, Alexander
- Materials Today, Vol. 21, Issue 8
Probing Electrochemically Induced Structural Evolution and Oxygen Redox Reactions in Layered Lithium Iridate
journal, March 2019
- Li, Liang; Castro, Fernando C.; Park, Joong Sun
- Chemistry of Materials, Vol. 31, Issue 12
Relationship between the area of L 2,3 x‐ray absorption edge resonances and the d orbital occupancy in compounds of platinum and iridium
journal, February 1982
- Horsley, J. A.
- The Journal of Chemical Physics, Vol. 76, Issue 3
Origin of stabilization and destabilization in solid-state redox reaction of oxide ions for lithium-ion batteries
journal, December 2016
- Yabuuchi, Naoaki; Nakayama, Masanobu; Takeuchi, Mitsue
- Nature Communications, Vol. 7, Issue 1
High-capacity electrode materials for rechargeable lithium batteries: Li 3 NbO 4 -based system with cation-disordered rocksalt structure
journal, June 2015
- Yabuuchi, Naoaki; Takeuchi, Mitsue; Nakayama, Masanobu
- Proceedings of the National Academy of Sciences, Vol. 112, Issue 25
Solvents’ Critical Role in Nonaqueous Lithium–Oxygen Battery Electrochemistry
journal, May 2011
- McCloskey, B. D.; Bethune, D. S.; Shelby, R. M.
- The Journal of Physical Chemistry Letters, Vol. 2, Issue 10, p. 1161-1166
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set
journal, July 1996
- Kresse, G.; Furthmüller, J.
- Computational Materials Science, Vol. 6, Issue 1, p. 15-50
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials
journal, September 2009
- Giannozzi, Paolo; Baroni, Stefano; Bonini, Nicola
- Journal of Physics: Condensed Matter, Vol. 21, Issue 39, Article No. 395502