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Materials Data on Cr3Ru by Materials Project

Cr3Ru crystallizes in the orthorhombic Cmmm space group. The structure is three-dimensional. there are two inequivalent Cr sites. In the first Cr site, Cr is bonded in a 8-coordinate geometry to two equivalent Cr and two equivalent Ru atoms. Both Cr–Cr bond lengths are 2.40 Å. Both Cr–Ru bond lengths are 2.56 Å. In the second Cr site, Cr is bonded in a distorted body-centered cubic geometry to eight Cr atoms. All Cr–Cr bond lengths are 2.57 Å. Ru is bonded in a 4-coordinate geometry to four equivalent Cr atoms.

36 MATERIALS SCIENCE↗

Materials Data on Cr3(MoC2)2 by Materials Project

Cr3(MoC2)2 is MAX Phase-like structured and crystallizes in the trigonal R3m space group. The structure is two-dimensional and consists of three Cr3(MoC2)2 sheets oriented in the (0, 0, 1) direction. there are two inequivalent Mo4+ sites. In the first Mo4+ site, Mo4+ is bonded to six C4- atoms to form MoC6 octahedra that share corners with three equivalent CrC6 octahedra, edges with three equivalent CrC6 octahedra, and edges with six equivalent MoC6 octahedra. The corner-sharing octahedral tilt angles are 5°. There are three shorter (2.15 Å) and three longer (2.20 Å) Mo–C bond lengths. In the second Mo4+ site, Mo4+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. All Mo–C bond lengths are 2.10 Å. There are three inequivalent Cr+2.67+ sites. In the first Cr+2.67+ site, Cr+2.67+ is bonded in a trigonal non-coplanar geometry to three equivalent C4- atoms. All Cr–C bond lengths are 1.93 Å. In the second Cr+2.67+ site, Cr+2.67+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing CrC6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are three shorter (2.06 Å) and three longer (2.10 Å) Cr–C bond lengths. In the third Cr+2.67+ site, Cr+2.67+ is bonded to six C4- atoms to form CrC6 octahedra that share corners with three equivalent MoC6 octahedra, corners with three equivalent CrC6 octahedra, edges with three equivalent MoC6 octahedra, and edges with nine CrC6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are three shorter (2.02 Å) and three longer (2.11 Å) Cr–C bond lengths. There are four inequivalent C4- sites. In the first C4- site, C4- is bonded to six Cr+2.67+ atoms to form a mixture of corner and edge-sharing CCr6 octahedra. The corner-sharing octahedral tilt angles are 2°. In the second C4- site, C4- is bonded to six Cr+2.67+ atoms to form CCr6 octahedra that share corners with six CCr3Mo3 octahedra and edges with twelve CCr6 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. In the third C4- site, C4- is bonded to three equivalent Mo4+ and three equivalent Cr+2.67+ atoms to form a mixture of corner and edge-sharing CCr3Mo3 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. In the fourth C4- site, C4- is bonded to six Mo4+ atoms to form a mixture of corner and edge-sharing CMo6 octahedra. The corner-sharing octahedral tilt angles are 2°.

36 MATERIALS SCIENCE↗

Caloric Restriction Impairs Regulatory T cells Within the Tumor Microenvironment After Radiation and Primes Effector T cells

Outcomes for triple negative breast cancer (TNBC) are poor and may be improved by increasing CD8{sup +} tumor infiltrating lymphocytes (TIL) to augment antitumor immunity. Radiation (RT) can promote immunogenic cell death with increased antitumor T cell activity but also stimulates suppressive regulatory T cells (Tregs). Because metabolic alterations affect immune homeostasis and prior studies show caloric restriction (CR) combined with RT improves preclinical TNBC outcomes, we hypothesized that CR augments RT, in part, by altering intratumoral immunity. Using an in vivo model of TNBC, we treated mice with ad libitum (AL) diet, radiation, a CR diet, or CR + RT, and demonstrated an immune suppressive environment with a significant increase in CD4{sup +} CD25{sup +}Foxp3{sup +} Tregs after RT but not in CR-fed mice. CD8:Treg ratio in CR + RT TIL increased 4-fold compared with AL + RT mice. In vivo CD8 depletion was performed to assess the role of effector T cells in mitigating the effects of CR, and it was found that in mice undergoing CR, depletion of CD8 T cells resulted in increased tumor progression and decreased median survival compared with isotype control–treated mice. In addition, PD-1 expression on CD3{sup +}CD8{sup +} T cells within the tumor microenvironment was significantly increased in CR + RT versus AL + RT treated mice as per immunofluorescence. Serum from breast cancer patients undergoing RT alone or CR and RT was collected pre- and postintervention, and a cytokine array demonstrated that patients treated with CR + RT had notable decreases in immunosuppressive cytokines such as IL-2Rγ, IL-10Rβ, and TGF-β2 and 3 compared with patients receiving RT alone. In conclusion, combining CR with RT decreases intratumoral Tregs, increases CD8:Treg, and increases PD-1 expression via a process dependent on CD8 T cells in a TNBC model. Breast cancer patients undergoing CR concurrently with RT also had significant reduction in immunosuppressive cytokine levels compared with those receiving RT alone.

62 RADIOLOGY AND NUCLEAR MEDICINE↗

Chromium speciation and mobility in contaminated coastal urban soils affected by water salinity and redox conditions

Chromium (Cr) is a redox-sensitive element in contaminated coastal urban soils. Sea level rise (SLR) with subsequent soil inundation may facilitate Cr transformation and mobilization through alterations in local redox conditions and porewater ion composition. Here, we investigated the impact of water salinity and redox conditions on Cr chemistry in these environments. Synchrotron-based X-ray spectroscopy and wet chemical analyses revealed that the soils contained very high levels of Cr (up to 4320 mg kg -1 ) and that chromite (~52%) and Fe-Cr hydroxide coprecipitates (~44%) were the predominant Cr species. The abundance of these two components resulted in low Cr mobility under non-flooded conditions. Chromium(II) was identified in the soils, potentially derived from the waste parent material. Seawater and anoxic conditions resulted in lower Cr release compared to freshwater and aerobic conditions. Up to three to eight times more Cr was released under aerobic conditions versus anaerobic conditions in the freshwater versus saltwater, respectively, with total dissolved Cr values remaining below 0.02 mg L -1 . The decrease in Cr release was likely due to Cr reduction by Fe(II) and sulfide. This work provides important information on how salinity and redox fluctuations impact Cr cycling which is likely to occur during SLR.

36 MATERIALS SCIENCE↗

Westinghouse Accident Tolerant Fuel Phase 2B with Higher Enriched and Higher Burnup Add-On Project Final Technical Report Deliverable Volume 1

The Westinghouse Electric Company LLC (Westinghouse) accident tolerant fuel (ATF) program funded by Westinghouse and the US Department of Energy (DOE) utilized chromium (Cr) coated zirconium alloy cladding with doped UO 2 (ADOPT(TM)) and uranium silicide (U 3 Si 2 ) high density/high thermal conductivity fuel for its lead test rod (LTR) program with irradiation beginning in 2019. ADOPT is a Cr 2 O 3 +Al 2 O 3 doped UO 2 pellet with increased oxidation resistance and density, and increased resistance to fission gas release. Due to the issues with U 3 Si 2 fuel reaction in pressurized water reactor (PWR) environments, uranium nitride (U 15 N) has been substituted for U 3 Si 2 as a long-term fuel option. Cr coated cladding with ADOPT fuel is the near-term Westinghouse EnCore fuel product. The long-term EnCore ® fuel product is SiGA ® SiC/SiC composite cladding with high density/high thermal conductivity UN fuel. In 2020, the higher burnup and higher enriched and (HBHE) program was integrated into the ATF program. The objective of this expanded program is to extend ATF burnups to at least 75 MWd/kgU to economically facilitate 24-month cycles in PWRs. The ATF program now includes ADOPT fuel with enrichments >5% 235 U. Over the past several years, Westinghouse has tested the Cr coated zirconium (Zr) and silicon carbide (SiC) claddings in Westinghouse Churchill autoclaves and the Massachusetts Institute of Technology (MIT) reactor. Additionally, the Cr coated cladding has been tested in the Advanced Test Reactor (ATR) at Idaho National Laboratory (INL) and in LTR programs at the Doel 4 and Bryon 2 commercial reactors. High temperature tests at the state-of-the-art Westinghouse facilities in Churchill, PA and at Karlsruhe Institute of Technology (KIT) have been carried out to determine the time and temperature limits for the Cr coated zirconium claddings. These tests indicate that Cr coated Zr cladding can take temperatures up to about 1500°C for short periods of time without becoming totally oxidized. The main issue is the formation of the Cr-Zr eutectic at 1333°C resulting in the migration of this eutectic inward with the formation of ZrCr 2 which rapidly oxidizes to ZrO 2 on the outside of the tube. The Cr coated Zr cladding also delays the bursting of the tube, reduces the burst area, and reduces hydriding and embrittlement of the Zr which is a major benefit for reducing fuel fragmentation, redistribution, and dispersal (FFRD), the major licensing issue faced by HBHE. The manufacturing parameters for the SiC have been found to have a significant effect on the corrosion rate of the SiC in light water reactor (LWR) conditions and significant improvements have been made in the yield, quality, and oxidation resistance of the SiC cladding by identifying and tightening manufacturing process parameters. Current autoclave results for SiC composite claddings indicate that a corrosion rate of fewer than 2 micrometers per year can be achieved which meets corrosion requirements under normal operating conditions. High temperature steam oxidation tests at the state-of-the-art Westinghouse facilities in Churchill, PA and at Karlsruhe Institute of Technology (KIT) have been carried and determined that SiC cladding can withstand temperatures up to about 1800°C to 1900°C before excessive corrosion reactions begin, and that the SiC will not balloon and burst. ADOPT fuel pellets were incorporated into the Westinghouse ATF program because of their increased density and oxidation resistance. A topical report supporting the use of ADOPT pellets has been submitted to the NRC and will be approved shortly. ADOPT pellets have been a product in Europe for over 15 years. The additives work to make larger grain sizes which appear to reduce fission gas release during transients as well as increase the density of the pellet. Fuel rod and assembly design in preparation for the lead test rod (LTR) and lead test assembly (LTA) programs is underway as well as licensing efforts with the Nuclear Regulatory Commission (NRC). Finally, accident analyses coupled with economic evaluations for both operating savings as well as fuel savings have been initiated. Modular Accident Analysis Program 5 (MAAP5) calculations indicate that both Cr coated cladding and SiC composite cladding can increase the time to fuel rod loss of geometry for up to two hours longer than current Zr based cladding in a station blackout scenario. This additional time is due to the much higher oxidation resistance of the SiC and Cr coated cladding. These two hours can be used to implement additional response options instituted through the Diverse and Flexible Mitigation Capability (FLEX) program by reactor operators. Both ATF cladding options also reduce hydrogen production which dramatically reduces primary system and containment pressure and the risk of fission product release beyond containment in the unlikely event of an accident. The lower pressure in the system allows more time to feed cooling water to the core, resulting in the avoidance of fuel melting. The coping time is extended indefinitely if the modest water flow provided by FLEX continues. Experimental work on methods to rapidly fabricate SiC composite structures with high density and reduce the fabrication price of SiC fibers while maintaining a high level of performance is needed. Methods for mitigating or stopping the Cr-Zr eutectic are also needed to further improve the oxidation resistance of Cr coated Zr. Minimal (<1%) swelling of U 3 Si 2 and subsequent fission gas release has been demonstrated up to 20 MWd/kgU. Irradiation experiments with U 3 Si 2 fuel in ATR to determine these properties at 40 MWd/kgU were completed but post irradiation examinations were not done since U 3 Si 2 has been replaced by UN. UN has three issues that are being addressed. The first is increasing the oxidation resistance so that there is not excessive reaction up to ~1500°C. While UN increases the pellet density and additives to the UN postponed the temperature at which rapid oxidation occurred by ~100°C to 200°C, this is not enough, and pellet coating options are now being pursued. The second is developing a method to manufacture that does not require the multi-step process of UF 6 to UO 2 to UC to UN. Efforts are underway looking at UF 6 to UN 2 to UN and UF 6 to UF 4 to UN 2 to UN reactions. Finally, an economically acceptable process for potentially enriching the 15 N content of the nitrogen used to make UN to >95% 15N was identified though not experimentally validated. In addition to the work supported by the DOE, research and testing activities are being carried on in a world-wide effort funded by many countries such as Sweden, United Kingdom, Belgium, Netherlands, Spain, Germany, Japan, and France. This work is being facilitated through the Westinghouse led Collaboration for Advanced Research on Accident Tolerant Fuel (CARAT) program. Annual meetings were organized in 2018 and 2019 by Westinghouse as a venue for presentation of this work and to provide for the cross-fertilization of ideas among the many outstanding researchers in the ATF area. No meetings were held in 2020 and 2021 due to the COVID-19 related restrictions on traveling and gatherings. Since SiC, coated cladding, and high-density fuel options are not currently used in the nuclear industry; support from the government and industry members is needed to further the significant effort of setting new standards. The same is true for the Nuclear Regulatory Commission (NRC) which must review and approve the commercial use of these new fuels since all current regulations are oriented toward Zr/UO 2 fuel. Several meetings have been held with the NRC to generate a fast-track approach to licensing ATF using a combination of atomic modeling, in-rod sensors, and in-reactor testing. This approach was memorialized in an “Accelerated Fuel Qualification White Paper” prepared by the Accelerated Fuel Qualification Working Group lead by General Atomics.

11 NUCLEAR FUEL CYCLE AND FUEL MATERIALS↗

Westinghouse Accident Tolerant Fuel Phase 2B with Higher Enriched and Higher Burnup Add-On Project Final Technical Report Deliverable Volume 2

The Westinghouse Electric Company LLC (Westinghouse) accident tolerant fuel (ATF) program funded by Westinghouse and the US Department of Energy (DOE) utilized chromium (Cr) coated zirconium alloy cladding with doped UO 2 (ADOPT(TM)) and uranium silicide (U 3 Si 2 ) high density/high thermal conductivity fuel for its lead test rod (LTR) program with irradiation beginning in 2019. ADOPT is a Cr 2 O 3 +Al 2 O 3 doped UO 2 pellet with increased oxidation resistance and density, and increased resistance to fission gas release. Due to the issues with U 3 Si 2 fuel reaction in pressurized water reactor (PWR) environments, uranium nitride (U 15 N) has been substituted for U 3 Si 2 as a long-term fuel option. Cr coated cladding with ADOPT fuel is the near-term Westinghouse EnCore ® fuel product. The long-term EnCore fuel product is SiGA ® SiC/SiC composite cladding with high density/high thermal conductivity UN fuel. In 2020, the higher burnup and higher enriched and (HBHE) program was integrated into the ATF program. The objective of this expanded program is to extend ATF burnups to at least 75 MWd/kgU to economically facilitate 24-month cycles in PWRs. The ATF program now includes ADOPT fuel with enrichments >5% 235 U. Over the past several years, Westinghouse has tested the Cr coated zirconium (Zr) and silicon carbide (SiC) claddings in Westinghouse Churchill autoclaves and the Massachusetts Institute of Technology (MIT) reactor. Additionally, the Cr coated cladding has been tested in the Advanced Test Reactor (ATR) at Idaho National Laboratory (INL) and in LTR programs at the Doel 4 and Bryon 2 commercial reactors. High temperature tests at the state-of-the-art Westinghouse facilities in Churchill, PA and at Karlsruhe Institute of Technology (KIT) have been carried out to determine the time and temperature limits for the Cr coated zirconium claddings. These tests indicate that Cr coated Zr cladding can take temperatures up to about 1500°C for short periods of time without becoming totally oxidized. The main issue is the formation of the Cr-Zr eutectic at 1333°C resulting in the migration of this eutectic inward with the formation of ZrCr 2 which rapidly oxidizes to ZrO 2 on the outside of the tube. The Cr coated Zr cladding also delays the bursting of the tube, reduces the burst area, and reduces hydriding and embrittlement of the Zr which is a major benefit for reducing fuel fragmentation, redistribution, and dispersal (FFRD), the major licensing issue faced by HBHE. The manufacturing parameters for the SiC have been found to have a significant effect on the corrosion rate of the SiC in light water reactor (LWR) conditions and significant improvements have been made in the yield, quality, and oxidation resistance of the SiC cladding by identifying and tightening manufacturing process parameters. Current autoclave results for SiC composite claddings indicate that a corrosion rate of fewer than 2 micrometers per year can be achieved which meets corrosion requirements under normal operating conditions. High temperature steam oxidation tests at the state-of-the-art Westinghouse facilities in Churchill, PA and at Karlsruhe Institute of Technology (KIT) have been carried and determined that SiC cladding can withstand temperatures up to about 1800°C to 1900°C before excessive corrosion reactions begin, and that the SiC will not balloon and burst. ADOPT fuel pellets were incorporated into the Westinghouse ATF program because of their increased density and oxidation resistance. A topical report supporting the use of ADOPT pellets has been submitted to the NRC and will be approved shortly. ADOPT pellets have been a product in Europe for over 15 years. The additives work to make larger grain sizes which appear to reduce fission gas release during transients as well as increase the density of the pellet. Fuel rod and assembly design in preparation for the lead test rod (LTR) and lead test assembly (LTA) programs is underway as well as licensing efforts with the Nuclear Regulatory Commission (NRC). Finally, accident analyses coupled with economic evaluations for both operating savings as well as fuel savings have been initiated. Modular Accident Analysis Program 5 (MAAP5) calculations indicate that both Cr coated cladding and SiC composite cladding can increase the time to fuel rod loss of geometry for up to two hours longer than current Zr based cladding in a station blackout scenario. This additional time is due to the much higher oxidation resistance of the SiC and Cr coated cladding. These two hours can be used to implement additional response options instituted through the Diverse and Flexible Mitigation Capability (FLEX) program by reactor operators. Both ATF cladding options also reduce hydrogen production which dramatically reduces primary system and containment pressure and the risk of fission product release beyond containment in the unlikely event of an accident. The lower pressure in the system allows more time to feed cooling water to the core, resulting in the avoidance of fuel melting. The coping time is extended indefinitely if the modest water flow provided by FLEX continues. Experimental work on methods to rapidly fabricate SiC composite structures with high density and reduce the fabrication price of SiC fibers while maintaining a high level of performance is needed. Methods for mitigating or stopping the Cr-Zr eutectic are also needed to further improve the oxidation resistance of Cr coated Zr. Minimal (<1%) swelling of U 3 Si 2 and subsequent fission gas release has been demonstrated up to 20 MWd/kgU. Irradiation experiments with U 3 Si 2 fuel in ATR to determine these properties at 40 MWd/kgU were completed but post irradiation examinations were not done since U 3 Si 2 has been replaced by UN. UN has three issues that are being addressed. The first is increasing the oxidation resistance so that there is not excessive reaction up to ~1500°C. While UN increases the pellet density and additives to the UN postponed the temperature at which rapid oxidation occurred by ~100°C to 200°C, this is not enough, and pellet coating options are now being pursued. The second is developing a method to manufacture that does not require the multi-step process of UF 6 to UO 2 to UC to UN. Efforts are underway looking at UF 6 to UN 2 to UN and UF 6 to UF 4 to UN 2 to UN reactions. Finally, an economically acceptable process for potentially enriching the 15 N content of the nitrogen used to make UN to >95% 15 N was identified though not experimentally validated. In addition to the work supported by the DOE, research and testing activities are being carried on in a world-wide effort funded by many countries such as Sweden, United Kingdom, Belgium, Netherlands, Spain, Germany, Japan, and France. This work is being facilitated through the Westinghouse led Collaboration for Advanced Research on Accident Tolerant Fuel (CARAT) program. Annual meetings were organized in 2018 and 2019 by Westinghouse as a venue for presentation of this work and to provide for the cross-fertilization of ideas among the many outstanding researchers in the ATF area. No meetings were held in 2020 and 2021 due to the COVID-19 related restrictions on traveling and gatherings. Since SiC, coated cladding, and high-density fuel options are not currently used in the nuclear industry; support from the government and industry members is needed to further the significant effort of setting new standards. The same is true for the Nuclear Regulatory Commission (NRC) which must review and approve the commercial use of these new fuels since all current regulations are oriented toward Zr/UO 2 fuel. Several meetings have been held with the NRC to generate a fast-track approach to licensing ATF using a combination of atomic modeling, in-rod sensors, and in-reactor testing. This approach was memorialized in an “Accelerated Fuel Qualification White Paper” prepared by the Accelerated Fuel Qualification Working Group lead by General Atomics.

11 NUCLEAR FUEL CYCLE AND FUEL MATERIALS↗

First-principles insights into chromium-induced oxide phases in NiO

The high-temperature oxidation of Ni–Cr alloys leads to complex oxide scales comprising Ni(Cr)O solid solutions, NiCr 2 O 4 spinel, and Cr 2 O 3 corundum within the NiO matrix. Understanding the atomic-scale mechanisms of Cr segregation and precipitate formation is crucial for enhancing oxidation resistance. Here, we employ density functional theory calculations to investigate Cr behavior on NiO(100), (110), and (111) surfaces and in the bulk. Our results reveal that isolated Cr atoms preferentially segregate to the surfaces, stabilizing Ni(Cr)O solid solutions via strong Cr–O bonding, whereas Cr pairs and clusters favor subsurface migration and bulk aggregation, promoting nucleation of NiCr 2 O 4 and Cr 2 O 3 phases. These findings elucidate a size-dependent segregation mechanism linking Cr coordination environments to oxide phase evolution. This atomic-scale insight informs strategies to tailor oxide microstructures and enhance the high-temperature oxidation resistance of Ni–Cr alloys.

Chromium Segregation↗

Materials Data on Cr3C2 by Materials Project

Cr3C2 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are three inequivalent Cr+2.67+ sites. In the first Cr+2.67+ site, Cr+2.67+ is bonded in a 2-coordinate geometry to five C4- atoms. There are a spread of Cr–C bond distances ranging from 2.02–2.58 Å. In the second Cr+2.67+ site, Cr+2.67+ is bonded to five C4- atoms to form a mixture of distorted edge, face, and corner-sharing CrC5 trigonal bipyramids. There are a spread of Cr–C bond distances ranging from 2.00–2.11 Å. In the third Cr+2.67+ site, Cr+2.67+ is bonded to five C4- atoms to form a mixture of edge, face, and corner-sharing CrC5 square pyramids. There are a spread of Cr–C bond distances ranging from 2.02–2.09 Å. There are two inequivalent C4- sites. In the first C4- site, C4- is bonded in a 6-coordinate geometry to eight Cr+2.67+ atoms. In the second C4- site, C4- is bonded in a 7-coordinate geometry to seven Cr+2.67+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Cr2B2Ir by Materials Project

Cr2IrB2 crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. there are three inequivalent Cr sites. In the first Cr site, Cr is bonded in a 4-coordinate geometry to five B atoms. There are a spread of Cr–B bond distances ranging from 2.14–2.56 Å. In the second Cr site, Cr is bonded in a 4-coordinate geometry to six B atoms. There are four shorter (2.20 Å) and two longer (2.59 Å) Cr–B bond lengths. In the third Cr site, Cr is bonded in a 8-coordinate geometry to eight B atoms. All Cr–B bond lengths are 2.18 Å. Ir is bonded in a 3-coordinate geometry to three B atoms. There are two shorter (2.14 Å) and one longer (2.30 Å) Ir–B bond lengths. There are two inequivalent B sites. In the first B site, B is bonded in a 9-coordinate geometry to six Cr, two equivalent Ir, and one B atom. The B–B bond length is 1.78 Å. In the second B site, B is bonded in a 9-coordinate geometry to six Cr, one Ir, and two B atoms. The B–B bond length is 1.84 Å.

36 MATERIALS SCIENCE↗

Materials Data on Cr5Si3 by Materials Project

Cr5Si3 crystallizes in the tetragonal I4/mcm space group. The structure is three-dimensional. there are two inequivalent Cr+2.40+ sites. In the first Cr+2.40+ site, Cr+2.40+ is bonded in a distorted hexagonal planar geometry to two equivalent Cr+2.40+ and four equivalent Si4- atoms. Both Cr–Cr bond lengths are 2.29 Å. All Cr–Si bond lengths are 2.43 Å. In the second Cr+2.40+ site, Cr+2.40+ is bonded in a 6-coordinate geometry to six Si4- atoms. There are a spread of Cr–Si bond distances ranging from 2.39–2.62 Å. There are two inequivalent Si4- sites. In the first Si4- site, Si4- is bonded in a 10-coordinate geometry to eight equivalent Cr+2.40+ and two equivalent Si4- atoms. Both Si–Si bond lengths are 2.29 Å. In the second Si4- site, Si4- is bonded in a 10-coordinate geometry to ten Cr+2.40+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li9Cr12Co7O48 by Materials Project

Li9Cr12Co7O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Li–O bond distances ranging from 2.08–2.24 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 67–73°. There are a spread of Li–O bond distances ranging from 2.10–2.28 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 67–72°. There are a spread of Li–O bond distances ranging from 2.14–2.27 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 2.04–2.25 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent CoO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent CoO6 octahedra. There are a spread of Li–O bond distances ranging from 2.05–2.19 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Li–O bond distances ranging from 2.09–2.27 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two CoO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 65–66°. There are a spread of Li–O bond distances ranging from 2.13–2.30 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 67–72°. There are a spread of Li–O bond distances ranging from 2.12–2.25 Å. There are twelve inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra and corners with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 21–61°. There are a spread of Cr–O bond distances ranging from 1.65–1.72 Å. In the second Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two CoO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 26–55°. There are a spread of Cr–O bond distances ranging from 1.64–1.74 Å. In the third Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CoO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 26–57°. There are a spread of Cr–O bond distances ranging from 1.63–1.72 Å. In the fourth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CoO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 30–57°. There are a spread of Cr–O bond distances ranging from 1.63–1.71 Å. In the fifth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four CoO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 29–58°. There are a spread of Cr–O bond distances ranging from 1.62–1.72 Å. In the sixth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with four LiO6 octahedra and corners with four CoO6 octahedra. The corner-sharing octahedra tilt angles range from 27–62°. There are a spread of Cr–O bond distances ranging from 1.66–1.70 Å. In the seventh Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with four LiO6 octahedra and corners with four CoO6 octahedra. The corner-sharing octahedra tilt angles range from 28–61°. There are a spread of Cr–O bond distances ranging from 1.65–1.72 Å. In the eighth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four CoO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 30–57°. There are a spread of Cr–O bond distances ranging from 1.62–1.70 Å. In the ninth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two CoO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 32–55°. There are a spread of Cr–O bond distances ranging from 1.64–1.72 Å. In the tenth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two CoO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 26–55°. There are a spread of Cr–O bond distances ranging from 1.64–1.69 Å. In the eleventh Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CoO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–57°. There are a spread of Cr–O bond distances ranging from 1.64–1.70 Å. In the twelfth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with three LiO6 octahedra and corners with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 21–61°. There are a spread of Cr–O bond distances ranging from 1.65–1.70 Å. There are seven inequivalent Co+2.14+ sites. In the first Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Co–O bond distances ranging from 2.01–2.17 Å. In the second Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Co–O bond distances ranging from 2.05–2.12 Å. In the third Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Co–O bond distances ranging from 2.03–2.11 Å. In the fourth Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Co–O bond distances ranging from 1.99–2.10 Å. In the fifth Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Co–O bond distances ranging from 2.00–2.15 Å. In the sixth Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Co–O bond distances ranging from 2.01–2.11 Å. In the seventh Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Co–O bond distances ranging from 1.96–2.18 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one Cr6+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one Cr6+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+ and one Cr6+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Cr6+ and two Co+2.14+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Cr6+ and two Co+2.14+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one Cr6+ atom. I

36 MATERIALS SCIENCE↗

Materials Data on LiCr3O4 by Materials Project

LiCr3O4 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Li1+ is bonded in a square co-planar geometry to four O2- atoms. There are two shorter (2.14 Å) and two longer (2.17 Å) Li–O bond lengths. There are three inequivalent Cr+2.33+ sites. In the first Cr+2.33+ site, Cr+2.33+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 2–19°. There are a spread of Cr–O bond distances ranging from 2.09–2.47 Å. In the second Cr+2.33+ site, Cr+2.33+ is bonded to six O2- atoms to form edge-sharing CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.04–2.13 Å. In the third Cr+2.33+ site, Cr+2.33+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 2–19°. There are a spread of Cr–O bond distances ranging from 2.09–2.48 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and four Cr+2.33+ atoms to form distorted OLiCr4 square pyramids that share corners with two equivalent OLiCr5 octahedra, corners with seven equivalent OLiCr4 square pyramids, edges with six equivalent OLiCr5 octahedra, and an edgeedge with one OLiCr4 square pyramid. The corner-sharing octahedra tilt angles range from 79–80°. In the second O2- site, O2- is bonded to one Li1+ and five Cr+2.33+ atoms to form OLiCr5 octahedra that share corners with six equivalent OLiCr5 octahedra, corners with two equivalent OLiCr4 square pyramids, edges with four equivalent OLiCr5 octahedra, and edges with six equivalent OLiCr4 square pyramids. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on Li2MnCr3O8 by Materials Project

Li2Cr3MnO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are two shorter (1.99 Å) and two longer (2.01 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Li–O bond distances ranging from 1.99–2.02 Å. There are twelve inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.01 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.04 Å. In the third Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.00 Å. In the fourth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.04 Å. In the fifth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.04 Å. In the sixth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.04 Å. In the seventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–1.98 Å. In the eighth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.03 Å. In the ninth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.00 Å. In the tenth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.05 Å. In the eleventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.04 Å. In the twelfth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.04 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–1.96 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.97 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–1.96 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the second O2- site, O2- is bonded to one Li1+, two Cr4+, and one Mn2+ atom to form a mixture of distorted edge and corner-sharing OLiMnCr2 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the sixth O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form a mixture of distorted edge and corner-sharing OLiCr3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Mn2+ atom to form distorted OLiMnCr2 trigonal pyramids that share corners with three OLiMnCr2 trigonal pyramids and an edgeedge with one OLiCr3 trigonal pyramid. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Mn2+ atom to form distorted corner-sharing OLiMnCr2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Mn2+ atom to form distorted corner-sharing OLiMnCr2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the twenty-fifth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Mn2+ atom to form distorted corner-sharing OLiMnCr2 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twenty-eighth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Mn2+ atom to form a mixture of distorted edge and corner-sharing OLiMnCr2 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Mn2+ atom to form distorted corner-sharing OLiMnCr2 trigonal pyramids. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the thirty-second O2- site, O2- is bonded to one Li1+, two Cr4+, and one Mn2+ atom to form distorted corner-sharing OLiMnCr2 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li2AlCr2SbO8 by Materials Project

Li2Cr2AlSbO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent SbO6 octahedra, corners with four AlO6 octahedra, and corners with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. There is one shorter (1.97 Å) and three longer (1.98 Å) Li–O bond length. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent AlO6 octahedra, corners with three equivalent SbO6 octahedra, and corners with seven CrO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. There is three shorter (1.97 Å) and one longer (1.98 Å) Li–O bond length. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra, corners with three equivalent SbO6 octahedra, and corners with six AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. There are a spread of Li–O bond distances ranging from 1.97–1.99 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with three AlO6 octahedra, corners with three equivalent SbO6 octahedra, and edges with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 63–67°. There is one shorter (1.82 Å) and three longer (1.97 Å) Li–O bond length. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with three CrO6 octahedra, corners with three equivalent SbO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with two CrO6 octahedra. The corner-sharing octahedra tilt angles range from 61–63°. There are a spread of Li–O bond distances ranging from 1.77–1.97 Å. In the sixth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.79–1.97 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with three CrO6 octahedra, corners with three equivalent SbO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 62–64°. There are a spread of Li–O bond distances ranging from 1.77–1.98 Å. In the eighth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.81–1.98 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with three CrO6 octahedra, corners with three equivalent SbO6 octahedra, and edges with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 62–64°. There are a spread of Li–O bond distances ranging from 1.77–1.98 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one AlO6 octahedra, corners with three equivalent SbO6 octahedra, and corners with eight CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. All Li–O bond lengths are 1.97 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three AlO6 octahedra, corners with three equivalent SbO6 octahedra, and corners with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 59–60°. There is three shorter (1.97 Å) and one longer (1.99 Å) Li–O bond length. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two AlO6 octahedra, corners with three equivalent SbO6 octahedra, and corners with seven CrO6 octahedra. The corner-sharing octahedra tilt angles range from 58–64°. There are a spread of Li–O bond distances ranging from 1.96–1.99 Å. There are twelve inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one SbO6 octahedra, edges with four CrO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 51°. There are a spread of Cr–O bond distances ranging from 1.96–2.07 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one SbO6 octahedra, and edges with four CrO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Cr–O bond distances ranging from 1.95–2.06 Å. In the third Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one SbO6 octahedra, and edges with four CrO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Cr–O bond distances ranging from 1.96–2.07 Å. In the fourth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one SbO6 octahedra, edges with four CrO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 51°. There are a spread of Cr–O bond distances ranging from 1.96–2.07 Å. In the fifth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one SbO6 octahedra, and edges with four CrO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Cr–O bond distances ranging from 1.96–2.06 Å. In the sixth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one SbO6 octahedra, and edges with four CrO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Cr–O bond distances ranging from 1.96–2.07 Å. In the seventh Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one SbO6 octahedra, edges with four CrO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 51°. There are a spread of Cr–O bond distances ranging from 1.96–2.06 Å. In the eighth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one SbO6 octahedra, and edges with four CrO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Cr–O bond distances ranging from 1.96–2.06 Å. In the ninth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one SbO6 octahedra, and edges with four CrO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Cr–O bond distances ranging from 1.96–2.06 Å. In the tenth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent AlO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Cr–O bond distances ranging from 1.98–2.07 Å. In the eleventh Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, edges with four AlO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of Cr–O bond distances ranging from 1.99–2.07 Å. In the twelfth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent AlO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Cr–O bond distances ranging from 1.98–2.07 Å. There are six inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one SbO6 octahedra, edges with four AlO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of Al–O bond distances ranging from 1.90–2.02 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent AlO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Al–O bond distances ranging from 1.87–2.04 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one SbO6 octahedra, edges with four AlO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of Al–O bond distances ranging from 1.90–2.02 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, edges with four CrO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 49°. There are a spread of Al–O bond distances ranging from 1.84–2.01 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent AlO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Al–O bond distances ranging from 1.87–2.04 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one SbO6 octahedra, edges with four AlO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of Al–O bond distances

36 MATERIALS SCIENCE↗

Materials Data on Li2Cr3NiO8 by Materials Project

Li2Cr3NiO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. There are a spread of Li–O bond distances ranging from 1.97–2.00 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 1.98–2.03 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.98–2.03 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. All Li–O bond lengths are 1.99 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are two shorter (1.99 Å) and two longer (2.01 Å) Li–O bond lengths. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Li–O bond distances ranging from 1.98–2.00 Å. There are twelve inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.87–2.03 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.86–2.01 Å. In the third Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.85–2.00 Å. In the fourth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.87–1.99 Å. In the fifth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.99–2.04 Å. In the sixth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–1.99 Å. In the seventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.90–2.06 Å. In the eighth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.87–2.00 Å. In the ninth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.88–2.00 Å. In the tenth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.89–2.00 Å. In the eleventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.88–1.99 Å. In the twelfth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.88–1.99 Å. There are four inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.91–2.15 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.05–2.13 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.05–2.16 Å. In the fourth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.15 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OLiCr2Ni trigonal pyramids. In the second O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OLiCr2Ni tetrahedra. In the third O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form distorted OLiCr3 trigonal pyramids that share corners with two OLiCr2Ni tetrahedra, corners with four OLiCr3 trigonal pyramids, and edges with two OLiCr2Ni trigonal pyramids. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Ni2+ atom. In the fifth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form distorted OLiCr2Ni trigonal pyramids that share a cornercorner with one OLiCr2Ni tetrahedra, corners with six OLiCr2Ni trigonal pyramids, and edges with two OLiCr3 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form distorted OLiCr3 trigonal pyramids that share corners with two OLiCr3 tetrahedra, corners with four OLiCr2Ni trigonal pyramids, an edgeedge with one OLiCr2Ni tetrahedra, and an edgeedge with one OLiCr2Ni trigonal pyramid. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Ni2+ atom. In the eighth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OLiCr2Ni trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form distorted OLiCr2Ni trigonal pyramids that share corners with three OLiCr2Ni tetrahedra, corners with three OLiCr2Ni trigonal pyramids, an edgeedge with one OLiCr2Ni tetrahedra, and an edgeedge with one OLiCr3 trigonal pyramid. In the tenth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OLiCr2Ni tetrahedra. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Ni2+ atom. In the thirteenth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OLiCr2Ni tetrahedra. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the fifteenth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form distorted OLiCr2Ni trigonal pyramids that share corners with two OLiCr2Ni tetrahedra, corners with six OLiCr2Ni trigonal pyramids, and edges with two OLiCr3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Ni2+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Ni2+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Ni2+ atom. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form a mixture of distorted edge and corner-sharing OLiCr3 trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OLiCr2Ni trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form distorted OLiCr2Ni trigonal pyramids that share corners with two OLiCr2Ni tetrahedra, corners with four OLiCr2Ni trigonal pyramids, and edges with two OLiCr3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Ni2+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Ni2+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Ni2+ atom. In the twenty-sixth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OLiCr2Ni trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form distorted OLiCr3 trigonal pyramids that share corners with three OLiCr2Ni tetrahedra, corners with six OLiCr3 trigonal pyramids, and an edgeedge with one OLiCr2Ni trigonal pyramid. In the twenty-eighth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form distorted OLiCr2Ni tetrahedra that share a cornercorner with one OLiCr2Ni tetrahedra, corners with six OLiCr3 trigonal pyramids, edges with two OLiCr2Ni tetrahedra, and an edgeedge with one OLiCr2Ni trigonal pyramid. In the twenty-ninth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form distorted OLiCr2Ni trigonal pyramids that share corners with three OLiCr2Ni tetrahedra, corners with three OLiCr2Ni trigonal pyramids, and an edgeedge with one OLiCr3 trigonal pyramid. In the thirt

36 MATERIALS SCIENCE↗

Materials Data on Li2Cr3CuO8 by Materials Project

Li2Cr3CuO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 1.96–1.99 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.95–2.03 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 1.97–1.99 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There is two shorter (1.99 Å) and two longer (2.00 Å) Li–O bond length. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There is one shorter (1.97 Å) and three longer (1.99 Å) Li–O bond length. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. There are twelve inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.03 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.90–1.98 Å. In the third Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.96–2.04 Å. In the fourth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.01 Å. In the fifth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.01 Å. In the sixth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.88–1.99 Å. In the seventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.03 Å. In the eighth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.89–1.99 Å. In the ninth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.01 Å. In the tenth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.90–2.00 Å. In the eleventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.01 Å. In the twelfth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.03 Å. There are four inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.02–2.07 Å. In the second Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.01–2.07 Å. In the third Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.03–2.07 Å. In the fourth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.01–2.09 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the second O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted corner-sharing OLiCr2Cu trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form a mixture of distorted edge and corner-sharing OLiCr3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted OLiCr2Cu trigonal pyramids that share a cornercorner with one OLiCr2Cu tetrahedra, corners with three OLiCr2Cu trigonal pyramids, and an edgeedge with one OLiCr3 trigonal pyramid. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the sixth O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form a mixture of distorted edge and corner-sharing OLiCr3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OLiCr2Cu trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the sixteenth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted OLiCr2Cu trigonal pyramids that share corners with four OLiCr2Cu trigonal pyramids, an edgeedge with one OLiCr2Cu tetrahedra, and an edgeedge with one OLiCr3 trigonal pyramid. In the seventeenth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted OLiCr2Cu trigonal pyramids that share a cornercorner with one OLiCr2Cu tetrahedra, a cornercorner with one OLiCr3 trigonal pyramid, and an edgeedge with one OLiCr2Cu trigonal pyramid. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form a mixture of distorted edge and corner-sharing OLiCr3 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-first O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted OLiCr2Cu tetrahedra that share corners with two OLiCr2Cu trigonal pyramids and edges with two OLiCr3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the thirty-second O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OLiCr2Cu trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Y2Cr3O9 by Materials Project

Y2Cr3O9 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.27–2.51 Å. In the second Y3+ site, Y3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.26–2.69 Å. In the third Y3+ site, Y3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.28–2.51 Å. In the fourth Y3+ site, Y3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.24–2.71 Å. In the fifth Y3+ site, Y3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.28–2.51 Å. In the sixth Y3+ site, Y3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.24–2.68 Å. In the seventh Y3+ site, Y3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.26–2.65 Å. In the eighth Y3+ site, Y3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.27–2.52 Å. There are twelve inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 27–34°. There are a spread of Cr–O bond distances ranging from 1.91–2.02 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–35°. There are a spread of Cr–O bond distances ranging from 1.86–2.00 Å. In the third Cr4+ site, Cr4+ is bonded to six O2- atoms to form corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–36°. There are a spread of Cr–O bond distances ranging from 1.87–2.03 Å. In the fourth Cr4+ site, Cr4+ is bonded to six O2- atoms to form corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–34°. There are a spread of Cr–O bond distances ranging from 1.85–2.01 Å. In the fifth Cr4+ site, Cr4+ is bonded to six O2- atoms to form corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–34°. There are a spread of Cr–O bond distances ranging from 1.85–2.02 Å. In the sixth Cr4+ site, Cr4+ is bonded to six O2- atoms to form corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 27–36°. There are a spread of Cr–O bond distances ranging from 1.98–2.01 Å. In the seventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–34°. There are a spread of Cr–O bond distances ranging from 1.84–2.03 Å. In the eighth Cr4+ site, Cr4+ is bonded to six O2- atoms to form corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–34°. There are a spread of Cr–O bond distances ranging from 1.84–2.01 Å. In the ninth Cr4+ site, Cr4+ is bonded to six O2- atoms to form corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 27–35°. There are a spread of Cr–O bond distances ranging from 1.90–2.01 Å. In the tenth Cr4+ site, Cr4+ is bonded to six O2- atoms to form corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 27–34°. There are a spread of Cr–O bond distances ranging from 1.90–2.01 Å. In the eleventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–35°. There are a spread of Cr–O bond distances ranging from 1.83–2.03 Å. In the twelfth Cr4+ site, Cr4+ is bonded to six O2- atoms to form corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–35°. There are a spread of Cr–O bond distances ranging from 1.83–2.03 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Cr4+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Cr4+ atoms. In the third O2- site, O2- is bonded to two Y3+ and two Cr4+ atoms to form a mixture of distorted corner and edge-sharing OY2Cr2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Y3+ and two Cr4+ atoms to form a mixture of distorted corner and edge-sharing OY2Cr2 trigonal pyramids. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Cr4+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Cr4+ atoms. In the seventh O2- site, O2- is bonded to two Y3+ and two Cr4+ atoms to form a mixture of distorted corner and edge-sharing OY2Cr2 trigonal pyramids. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Cr4+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Cr4+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Cr4+ atoms. In the eleventh O2- site, O2- is bonded to two Y3+ and two Cr4+ atoms to form a mixture of distorted corner and edge-sharing OY2Cr2 trigonal pyramids. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Cr4+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Cr4+ atoms. In the fourteenth O2- site, O2- is bonded to two Y3+ and two Cr4+ atoms to form a mixture of distorted corner and edge-sharing OY2Cr2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Cr4+ atoms. In the sixteenth O2- site, O2- is bonded to two Y3+ and two Cr4+ atoms to form a mixture of distorted corner and edge-sharing OY2Cr2 trigonal pyramids. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Cr4+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Cr4+ atoms. In the nineteenth O2- site, O2- is bonded to two Y3+ and two Cr4+ atoms to form a mixture of distorted corner and edge-sharing OY2Cr2 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Cr4+ atoms. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Cr4+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Cr4+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Cr4+ atoms. In the twenty-fourth O2- site, O2- is bonded to two Y3+ and two Cr4+ atoms to form a mixture of distorted corner and edge-sharing OY2Cr2 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded in a distorted T-shaped geometry to one Y3+ and two Cr4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Y3+ and two Cr4+ atoms. In the twenty-seventh O2- site, O2- is bonded to two Y3+ and two Cr4+ atoms to form a mixture of distorted corner and edge-sharing OY2Cr2 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to two Y3+ and two Cr4+ atoms to form a mixture of distorted corner and edge-sharing OY2Cr2 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Y3+ and two Cr4+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted T-shaped geometry to one Y3+ and two Cr4+ atoms. In the thirty-first O2- site, O2- is bonded to two Y3+ and two Cr4+ atoms to form a mixture of distorted corner and edge-sharing OY2Cr2 trigonal pyramids. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to one Y3+ and two Cr4+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted T-shaped geometry to one Y3+ and two Cr4+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to one Y3+ and two Cr4+ atoms. In the thirty-fifth O2- site, O2- is bonded to two Y3+ and two Cr4+ atoms to form a mixture of distorted corner and edge-sharing OY2Cr2 tetrahedra. In the thirty-sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Y3+ and two Cr4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on YCr3O9 by Materials Project

YCr3O9 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.20–2.57 Å. In the second Y3+ site, Y3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.19–2.69 Å. In the third Y3+ site, Y3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.20–2.67 Å. In the fourth Y3+ site, Y3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.21–2.59 Å. There are twelve inequivalent Cr5+ sites. In the first Cr5+ site, Cr5+ is bonded to four O2- atoms to form corner-sharing CrO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–48°. There are a spread of Cr–O bond distances ranging from 1.60–1.74 Å. In the second Cr5+ site, Cr5+ is bonded to four O2- atoms to form corner-sharing CrO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–47°. There are a spread of Cr–O bond distances ranging from 1.60–1.73 Å. In the third Cr5+ site, Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra and corners with four CrO4 tetrahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Cr–O bond distances ranging from 2.01–2.07 Å. In the fourth Cr5+ site, Cr5+ is bonded to four O2- atoms to form distorted corner-sharing CrO4 tetrahedra. The corner-sharing octahedra tilt angles range from 22–28°. There are a spread of Cr–O bond distances ranging from 1.64–1.71 Å. In the fifth Cr5+ site, Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra and corners with four CrO4 tetrahedra. The corner-sharing octahedra tilt angles range from 20–21°. There are a spread of Cr–O bond distances ranging from 2.02–2.07 Å. In the sixth Cr5+ site, Cr5+ is bonded to four O2- atoms to form corner-sharing CrO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–46°. There are a spread of Cr–O bond distances ranging from 1.60–1.73 Å. In the seventh Cr5+ site, Cr5+ is bonded to four O2- atoms to form corner-sharing CrO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–47°. There are a spread of Cr–O bond distances ranging from 1.60–1.73 Å. In the eighth Cr5+ site, Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra and corners with four CrO4 tetrahedra. The corner-sharing octahedra tilt angles range from 20–21°. There are a spread of Cr–O bond distances ranging from 2.01–2.10 Å. In the ninth Cr5+ site, Cr5+ is bonded to four O2- atoms to form distorted corner-sharing CrO4 tetrahedra. The corner-sharing octahedra tilt angles range from 23–25°. There are a spread of Cr–O bond distances ranging from 1.65–1.71 Å. In the tenth Cr5+ site, Cr5+ is bonded to four O2- atoms to form distorted corner-sharing CrO4 tetrahedra. The corner-sharing octahedra tilt angles range from 23–30°. There are a spread of Cr–O bond distances ranging from 1.65–1.71 Å. In the eleventh Cr5+ site, Cr5+ is bonded to four O2- atoms to form distorted corner-sharing CrO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Cr–O bond distances ranging from 1.65–1.71 Å. In the twelfth Cr5+ site, Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra and corners with four CrO4 tetrahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Cr–O bond distances ranging from 2.01–2.09 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one Y3+ and one Cr5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Y3+ and two Cr5+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Y3+ and two Cr5+ atoms. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Y3+ and one Cr5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Y3+ and two Cr5+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Y3+ and two Cr5+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Y3+ and two Cr5+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to one Y3+ and one Cr5+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Y3+ and two Cr5+ atoms. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Y3+ and two Cr5+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to one Y3+ and one Cr5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Y3+ and two Cr5+ atoms. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Y3+ and two Cr5+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Y3+ and one Cr5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Y3+ and two Cr5+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Y3+ and two Cr5+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Y3+ and one Cr5+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Y3+ and two Cr5+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to one Y3+ and one Cr5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Y3+ and two Cr5+ atoms. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Y3+ and two Cr5+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Y3+ and one Cr5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Y3+ and two Cr5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Y3+ and two Cr5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted water-like geometry to one Y3+ and one Cr5+ atom. In the twenty-sixth O2- site, O2- is bonded in a single-bond geometry to one Cr5+ atom. In the twenty-seventh O2- site, O2- is bonded in a T-shaped geometry to one Y3+ and two Cr5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted water-like geometry to one Y3+ and one Cr5+ atom. In the twenty-ninth O2- site, O2- is bonded in a T-shaped geometry to one Y3+ and two Cr5+ atoms. In the thirtieth O2- site, O2- is bonded in a single-bond geometry to one Cr5+ atom. In the thirty-first O2- site, O2- is bonded in a T-shaped geometry to one Y3+ and two Cr5+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted water-like geometry to one Y3+ and one Cr5+ atom. In the thirty-third O2- site, O2- is bonded in a single-bond geometry to one Cr5+ atom. In the thirty-fourth O2- site, O2- is bonded in a single-bond geometry to one Cr5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted water-like geometry to one Y3+ and one Cr5+ atom. In the thirty-sixth O2- site, O2- is bonded in a T-shaped geometry to one Y3+ and two Cr5+ atoms.

36 MATERIALS SCIENCE↗