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All sourcesNASA NTRSDOE OSTI
DOE OSTI2020

Fast Scanning Probe Microscopy via Machine Learning: Non-Rectangular Scans with Compressed Sensing and Gaussian Process Optimization

Fast scanning probe microscopy enabled via machine learning allows for a broad range of nanoscale, temporally resolved physics to be uncovered. However, such examples for functional imaging are few in number. Here, using piezoresponse force microscopy (PFM) as a model application, a factor of 5.8 reduction in data collection using a combination of sparse spiral scanning with compressive sensing and Gaussian process regression reconstruction is demonstrated. It is found that even extremely sparse spiral scans offer strong reconstructions with less than 6% error for Gaussian process regression reconstructions. Further, the error associated with each reconstructive technique per reconstruction iteration is analyzed, finding the error is similar past ≈15 iterations, while at initial iterations Gaussian process regression outperforms compressive sensing. Finally, this study highlights the capabilities of reconstruction techniques when applied to sparse data, particularly sparse spiral PFM scans, with broad applications in scanning probe and electron microscopies.

36 MATERIALS SCIENCE↗
DOE OSTI2021

Electronic Structure Modification of Rectangular Phosphorene Quantum Dots Via Edge Passivation

Phosphorene is an elemental two-dimensional material that shows great promise as a metal-free photocatalyst owing to its high carrier mobility and direct band gap. Doping and edge functionalization of phosphorene can be exploited to tune its band gap and alter other properties. Herein, the electronic properties of a series of edge-passivated monolayer phosphorene quantum dots are investigated using an array of functional groups (OH, SH, NH 2 , SCH 3 , OCN, CN, and Cl) that are known to have electron-donating or electron-withdrawing capabilities. By employing density functional theory calculations, we demonstrate that edge functionalization can perturbatively shift the HOMO (highest occupied molecular orbital) and LUMO (lowest unoccupied molecular orbital) energy levels while simultaneously preserving the geometric structure and other favorable properties of pristine phosphorene. We use the average overall electrostatic potential of these systems to successfully predict the relative positioning of the HOMO and LUMO energy levels while presenting qualitative explanations on potential jumps introduced by the dipole layers formed due to edge functionalization. Furthermore, our results suggest that selective functionalization permits considerable control over the band edge positions, which could be utilized for applications in energy and optoelectronic devices.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗
DOE OSTI2020

Materials Data on Co29O40 by Materials Project

Co29O40 is beta indium sulfide-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-nine inequivalent Co+2.76+ sites. In the first Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–63°. There is one shorter (1.94 Å) and three longer (1.96 Å) Co–O bond length. In the second Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.94–2.07 Å. In the third Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–2.12 Å. In the fourth Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Co–O bond distances ranging from 1.94–1.96 Å. In the fifth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.96–2.12 Å. In the sixth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–2.10 Å. In the seventh Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.94–2.09 Å. In the eighth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.98–2.06 Å. In the ninth Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of Co–O bond distances ranging from 1.93–1.96 Å. In the tenth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.00–2.07 Å. In the eleventh Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.00–2.07 Å. In the twelfth Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–63°. There are a spread of Co–O bond distances ranging from 1.95–1.98 Å. In the thirteenth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.00–2.09 Å. In the fourteenth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.86–1.96 Å. In the fifteenth Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of Co–O bond distances ranging from 1.94–1.96 Å. In the sixteenth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–2.08 Å. In the seventeenth Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Co–O bond distances ranging from 1.93–1.99 Å. In the eighteenth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.97–2.08 Å. In the nineteenth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.95 Å. In the twentieth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.99–2.06 Å. In the twenty-first Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–2.07 Å. In the twenty-second Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–2.07 Å. In the twenty-third Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Co–O bond distances ranging from 1.97–2.00 Å. In the twenty-fourth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.92–2.15 Å. In the twenty-fifth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–2.12 Å. In the twenty-sixth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.96 Å. In the twenty-seventh Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–64°. There is three shorter (1.96 Å) and one longer (1.99 Å) Co–O bond length. In the twenty-eighth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.96 Å. In the twenty-ninth Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Co–O bond distances ranging from 1.95–1.99 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Co+2.76+ atoms to form distorted corner-sharing OCo4 trigonal pyramids. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.76+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.76+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the eighth O2- site, O2- is bonded to four Co+2.76+ atoms to form distorted corner-sharing OCo4 trigonal pyramids. In the ninth O2- site, O2- is bonded to four Co+2.76+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Co+2.76+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.76+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.76+ atoms. In the thirtieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-fourth O2- site, O2- is bonded to four Co+2.76+ atoms to form distorted corner-sharing OCo4 trigonal pyramids. In the thirty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the fortieth O2- site, O2- is bonded to four Co+2.76+ atoms to form distorted corner-sharing OCo4 trigonal pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mg16Si8HO32 by Materials Project

Mg16Si8HO32 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with five MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.24 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.10–2.12 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with six MgO6 octahedra. There are one shorter (2.10 Å) and five longer (2.11 Å) Mg–O bond lengths. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with five MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.15 Å. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with six MgO6 octahedra. There are two shorter (2.10 Å) and four longer (2.11 Å) Mg–O bond lengths. In the sixth Mg site, Mg is bonded in a 6-coordinate geometry to one H and five O atoms. The Mg–H bond length is 2.01 Å. There are a spread of Mg–O bond distances ranging from 1.97–2.19 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.11 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.11 Å. In the ninth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.12 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.12 Å. In the eleventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with five MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.19 Å. In the twelfth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with five MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.12 Å. In the thirteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with five MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.13 Å. In the fourteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with six MgO6 octahedra. There are one shorter (2.10 Å) and five longer (2.11 Å) Mg–O bond lengths. In the fifteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with five MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.34 Å. In the sixteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.10–2.12 Å. There are eight inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There is three shorter (1.69 Å) and one longer (1.70 Å) Si–O bond length. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There is three shorter (1.69 Å) and one longer (1.70 Å) Si–O bond length. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There is three shorter (1.69 Å) and one longer (1.70 Å) Si–O bond length. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There is three shorter (1.69 Å) and one longer (1.70 Å) Si–O bond length. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. All Si–O bond lengths are 1.69 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There is three shorter (1.69 Å) and one longer (1.70 Å) Si–O bond length. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Si–O bond distances ranging from 1.67–1.72 Å. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Si–O bond distances ranging from 1.65–1.78 Å. H is bonded in a distorted single-bond geometry to one Mg and two O atoms. There is one shorter (1.03 Å) and one longer (1.63 Å) H–O bond length. There are thirty-two inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the second O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the third O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the fourth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the fifth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the sixth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the eighth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the ninth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the eleventh O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twelfth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the thirteenth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the fourteenth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the fifteenth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the sixteenth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the seventeenth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the eighteenth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the nineteenth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twentieth O site, O is bonded in a distorted single-bond geometry to two Mg, one Si, and one H atom. In the twenty-first O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-second O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-third O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-fourth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-fifth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-sixth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-seventh O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-eighth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-ninth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the thirtieth O site, O is bonded in a 5-coordinate geometry to three Mg, one Si, and one H atom. In the thirty-first O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the thirty-second O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li3Mg2Fe19O32 by Materials Project

Li3Mg2Fe19O32 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.11–2.13 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.10–2.13 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.18 Å. There are two inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with eleven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Mg–O bond distances ranging from 1.96–2.03 Å. In the second Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of Mg–O bond distances ranging from 1.96–2.04 Å. There are nineteen inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three MgO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.09 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.08 Å. In the third Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with eleven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There is one shorter (1.88 Å) and three longer (1.98 Å) Fe–O bond length. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three MgO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three MgO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.19 Å. In the seventh Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Fe–O bond distances ranging from 1.91–1.99 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.09 Å. In the ninth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four FeO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.09 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four FeO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.08 Å. In the eleventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.09 Å. In the twelfth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Fe–O bond distances ranging from 1.91–1.99 Å. In the thirteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.09 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.09 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Fe–O bond distances ranging from 1.92–1.99 Å. In the sixteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.11 Å. In the seventeenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.12 Å. In the eighteenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Fe–O bond distances ranging from 1.91–1.99 Å. In the nineteenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Fe–O bond distances ranging from 1.90–2.00 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe3+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to four Fe3+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Mg2+, and two Fe3+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Mg2+, and two Fe3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe3+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe3+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Mg2+, and two Fe3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to one Li1+ and three Fe3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe3+ atoms. In the thirtieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the thirty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the thirty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on ZnFe16Ni7O32 by Materials Project

Fe16Ni7ZnO32 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five NiO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Fe–O bond distances ranging from 1.89–1.97 Å. In the second Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six FeO6 octahedra and corners with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Fe–O bond distances ranging from 1.89–1.95 Å. In the third Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five NiO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of Fe–O bond distances ranging from 1.90–1.94 Å. In the fourth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five NiO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Fe–O bond distances ranging from 1.87–1.98 Å. In the fifth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six FeO6 octahedra and corners with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Fe–O bond distances ranging from 1.89–1.95 Å. In the sixth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five NiO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Fe–O bond distances ranging from 1.89–1.96 Å. In the seventh Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five NiO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Fe–O bond distances ranging from 1.89–1.95 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.09 Å. In the ninth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.00 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.01 Å. In the eleventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.11 Å. In the twelfth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.03 Å. In the thirteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.02 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.08 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.11 Å. In the sixteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.92–2.01 Å. There are seven inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six FeO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.09 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.01–2.09 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.06–2.10 Å. In the fourth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.03–2.09 Å. In the fifth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with five FeO6 octahedra. There are three shorter (2.06 Å) and three longer (2.08 Å) Ni–O bond lengths. In the sixth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.05–2.08 Å. In the seventh Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six FeO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.09 Å. Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with five NiO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Zn–O bond distances ranging from 1.96–2.03 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the second O2- site, O2- is bonded to four Fe3+ atoms to form distorted corner-sharing OFe4 trigonal pyramids. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+, one Ni2+, and one Zn2+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Fe3+, one Ni2+, and one Zn2+ atom. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the twenty-seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Fe3+, two Ni2+, and one Zn2+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the thirtieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the thirty-first O2- site, O2- is bonded to two Fe3+, one Ni2+, and one Zn2+ atom to form distorted corner-sharing OZnFe2Ni trigonal pyramids. In the thirty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li3Zn(Fe5O8)4 by Materials Project

Li3Zn(Fe5O8)4 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three 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 ZnO4 tetrahedra, corners with five FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.15 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.10–2.15 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.16 Å. There are twenty inequivalent Fe+2.95+ sites. In the first Fe+2.95+ site, Fe+2.95+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two LiO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of Fe–O bond distances ranging from 1.90–1.95 Å. In the second Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.06 Å. In the third Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.12 Å. In the fourth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.14 Å. In the fifth Fe+2.95+ site, Fe+2.95+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two LiO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Fe–O bond distances ranging from 1.87–1.98 Å. In the sixth Fe+2.95+ site, Fe+2.95+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two LiO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Fe–O bond distances ranging from 1.90–1.99 Å. In the seventh Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.10 Å. In the eighth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.04 Å. In the ninth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.09 Å. In the tenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.07–2.19 Å. In the eleventh Fe+2.95+ site, Fe+2.95+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two LiO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There is two shorter (1.91 Å) and two longer (1.94 Å) Fe–O bond length. In the twelfth Fe+2.95+ site, Fe+2.95+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Fe–O bond distances ranging from 1.90–1.97 Å. In the thirteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. In the fourteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.08 Å. In the fifteenth Fe+2.95+ site, Fe+2.95+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Fe–O bond distances ranging from 1.90–2.01 Å. In the sixteenth Fe+2.95+ site, Fe+2.95+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two LiO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Fe–O bond distances ranging from 1.88–1.98 Å. In the seventeenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.09 Å. In the eighteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.08 Å. In the nineteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.08 Å. In the twentieth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.13 Å. Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with two LiO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Zn–O bond distances ranging from 1.98–2.03 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.95+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.95+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.95+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.95+, and one Zn2+ atom. In the eighth O2- site, O2- is bonded to three Fe+2.95+ and one Zn2+ atom to form distorted corner-sharing OZnFe3 trigonal pyramids. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.95+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.95+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.95+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.95+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.95+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe+2.95+ atoms. In the twenty-seventh O2- site, O2- is bonded to three Fe+2.95+ and one Zn2+ atom to form distorted corner-sharing OZnFe3 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to four Fe+2.95+ atoms to form distorted corner-sharing OFe4 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Fe+2.95+, and one Zn2+ atom. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the thirty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.95+ atoms. In the thirty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.95+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on MgIn2O4 by Materials Project

MgIn2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are ten inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine InO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Mg–O bond distances ranging from 2.04–2.07 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five InO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five InO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.13–2.16 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six InO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent InO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.13–2.16 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six InO4 tetrahedra, edges with two MgO6 octahedra, and edges with four InO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.12–2.16 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six InO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent InO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.13–2.16 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six InO4 tetrahedra, edges with two MgO6 octahedra, and edges with four InO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.13–2.16 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six InO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent InO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.13–2.16 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six InO4 tetrahedra, edges with two MgO6 octahedra, and edges with four InO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.13–2.16 Å. In the ninth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four InO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five InO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.13–2.18 Å. In the tenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six InO4 tetrahedra, edges with two MgO6 octahedra, and edges with four InO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.12–2.15 Å. There are thirteen inequivalent In3+ sites. In the first In3+ site, In3+ is bonded to four O2- atoms to form InO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine InO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of In–O bond distances ranging from 2.07–2.11 Å. In the second In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent InO4 tetrahedra, edges with two MgO6 octahedra, and edges with four InO6 octahedra. There are a spread of In–O bond distances ranging from 2.18–2.23 Å. In the third In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five InO4 tetrahedra, edges with three MgO6 octahedra, and edges with three InO6 octahedra. There are a spread of In–O bond distances ranging from 2.17–2.21 Å. In the fourth In3+ site, In3+ is bonded to four O2- atoms to form InO4 tetrahedra that share corners with six MgO6 octahedra and corners with six InO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of In–O bond distances ranging from 2.10–2.12 Å. In the fifth In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with six InO4 tetrahedra, edges with two equivalent InO6 octahedra, and edges with four MgO6 octahedra. There are a spread of In–O bond distances ranging from 2.18–2.20 Å. In the sixth In3+ site, In3+ is bonded to four O2- atoms to form InO4 tetrahedra that share corners with six MgO6 octahedra and corners with six InO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are two shorter (2.10 Å) and two longer (2.11 Å) In–O bond lengths. In the seventh In3+ site, In3+ is bonded to four O2- atoms to form InO4 tetrahedra that share corners with six MgO6 octahedra and corners with six InO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are two shorter (2.10 Å) and two longer (2.11 Å) In–O bond lengths. In the eighth In3+ site, In3+ is bonded to four O2- atoms to form InO4 tetrahedra that share corners with six MgO6 octahedra and corners with six InO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are two shorter (2.09 Å) and two longer (2.10 Å) In–O bond lengths. In the ninth In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with six InO4 tetrahedra, edges with two equivalent InO6 octahedra, and edges with four MgO6 octahedra. There are a spread of In–O bond distances ranging from 2.18–2.20 Å. In the tenth In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with six InO4 tetrahedra, edges with two equivalent InO6 octahedra, and edges with four MgO6 octahedra. There are a spread of In–O bond distances ranging from 2.18–2.20 Å. In the eleventh In3+ site, In3+ is bonded to four O2- atoms to form InO4 tetrahedra that share corners with six MgO6 octahedra and corners with six InO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of In–O bond distances ranging from 2.10–2.12 Å. In the twelfth In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four InO4 tetrahedra, edges with three MgO6 octahedra, and edges with three InO6 octahedra. There are a spread of In–O bond distances ranging from 2.18–2.22 Å. In the thirteenth In3+ site, In3+ is bonded to four O2- atoms to form InO4 tetrahedra that share corners with six MgO6 octahedra and corners with six InO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are three shorter (2.10 Å) and one longer (2.11 Å) In–O bond lengths. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three In3+ atoms. In the second O2- site, O2- is bonded to one Mg2+ and three In3+ atoms to form distorted edge-sharing OMgIn3 trigonal pyramids. In the third O2- site, O2- is bonded to four In3+ atoms to form distorted edge-sharing OIn4 trigonal pyramids. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three In3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two In3+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent In3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two In3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three In3+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three In3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three In3+ atoms. The O–In bond length is 2.11 Å. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two In3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three In3+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two In3+ atoms. The O–In bond length is 2.10 Å. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three In3+ atoms. The O–In bond length is 2.11 Å. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three In3+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three In3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two In3+ atoms. The O–In bond length is 2.10 Å. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three In3+ atoms. The O–In bond length is 2.11 Å. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two In3+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three In3+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three In3+ atoms. The O–In bond length is 2.11 Å. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three In3+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two In3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three In3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two In3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three In3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three In3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three In3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three In3+ atoms. In the thirtieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two In3+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li2V3FeO8 by Materials Project

Li2FeV3O8 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 six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.14–2.20 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 49–66°. There are a spread of Li–O bond distances ranging from 1.98–2.00 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 51–67°. All Li–O bond lengths are 1.98 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.12–2.19 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.14–2.19 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 49–66°. There are a spread of Li–O bond distances ranging from 1.98–2.00 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 51–67°. All Li–O bond lengths are 1.98 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.11–2.19 Å. There are twelve inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.80–2.09 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.81–2.10 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.79–2.10 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 2.00–2.08 Å. In the fifth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 2.01–2.07 Å. In the sixth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.82–2.09 Å. In the seventh V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.80–2.09 Å. In the eighth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.81–2.10 Å. In the ninth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.79–2.10 Å. In the tenth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 2.00–2.08 Å. In the eleventh V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 2.01–2.07 Å. In the twelfth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.82–2.09 Å. There are four inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Fe–O bond distances ranging from 1.92–1.96 Å. In the second Fe2+ site, Fe2+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Fe–O bond distances ranging from 1.92–1.95 Å. In the third Fe2+ site, Fe2+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Fe–O bond distances ranging from 1.92–1.96 Å. In the fourth Fe2+ site, Fe2+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Fe–O bond distances ranging from 1.92–1.95 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 two Li1+ and two V4+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two V4+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V4+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two V4+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Fe2+ atom. In the sixth O2- site, O2- is bonded to three V4+ and one Fe2+ atom to form a mixture of distorted edge and corner-sharing OV3Fe trigonal pyramids. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V4+, and one Fe2+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V4+, and one Fe2+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two V4+, and one Fe2+ atom to form a mixture of distorted edge and corner-sharing OLiV2Fe trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Fe2+ atom. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three V4+ and one Fe2+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V4+, and one Fe2+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two V4+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V4+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two V4+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two V4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two V4+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two V4+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two V4+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Fe2+ atom. In the twenty-second O2- site, O2- is bonded to three V4+ and one Fe2+ atom to form a mixture of distorted edge and corner-sharing OV3Fe trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V4+, and one Fe2+ atom. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V4+, and one Fe2+ atom. In the twenty-fifth O2- site, O2- is bonded to one Li1+, two V4+, and one Fe2+ atom to form a mixture of distorted edge and corner-sharing OLiV2Fe trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Fe2+ atom. In the twenty-seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three V4+ and one Fe2+ atom. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V4+, and one Fe2+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two V4+ atoms. In the thirtieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V4+ atoms. In the thirty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two V4+ atoms. In the thirty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two V4+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on ZnFe8Ni3O16 by Materials Project

Fe8Ni3ZnO16 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five NiO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Fe–O bond distances ranging from 1.89–1.99 Å. In the second Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five NiO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Fe–O bond distances ranging from 1.89–2.01 Å. In the third Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four NiO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Fe–O bond distances ranging from 1.88–1.95 Å. In the fourth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four NiO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Fe–O bond distances ranging from 1.87–1.97 Å. In the fifth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four NiO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–61°. There is three shorter (1.91 Å) and one longer (1.94 Å) Fe–O bond length. In the sixth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four NiO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–62°. There are a spread of Fe–O bond distances ranging from 1.91–1.93 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.02 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two ZnO4 tetrahedra, corners with four FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.02 Å. In the ninth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.06 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.00 Å. In the eleventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.91–2.13 Å. In the twelfth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two ZnO4 tetrahedra, corners with four FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.04 Å. In the thirteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two ZnO4 tetrahedra, corners with four FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.02 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two ZnO4 tetrahedra, corners with four FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.03 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.01 Å. In the sixteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two ZnO4 tetrahedra, corners with four FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.92–2.03 Å. There are six inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.02–2.09 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two ZnO4 tetrahedra, corners with four FeO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.01–2.10 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two ZnO4 tetrahedra, corners with four FeO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.01–2.11 Å. In the fourth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two ZnO4 tetrahedra, corners with four FeO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.03–2.08 Å. In the fifth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two ZnO4 tetrahedra, corners with four FeO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.00–2.12 Å. In the sixth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.03–2.11 Å. There are two inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with four NiO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Zn–O bond distances ranging from 1.96–2.05 Å. In the second Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with six FeO6 octahedra and corners with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Zn–O bond distances ranging from 1.97–2.03 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe3+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Fe3+, two Ni2+, and one Zn2+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Fe3+, one Ni2+, and one Zn2+ atom. In the seventh O2- site, O2- is bonded to four Fe3+ atoms to form distorted OFe4 trigonal pyramids that share an edgeedge with one OZnFe3 tetrahedra and an edgeedge with one OFe4 trigonal pyramid. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Fe3+, one Ni2+, and one Zn2+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Fe3+, one Ni2+, and one Zn2+ atom. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to one Fe3+, two Ni2+, and one Zn2+ atom. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe3+ atoms. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Fe3+, one Ni2+, and one Zn2+ atom. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the twenty-sixth O2- site, O2- is bonded to four Fe3+ atoms to form distorted OFe4 trigonal pyramids that share an edgeedge with one OZnFe3 tetrahedra and an edgeedge with one OFe4 trigonal pyramid. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Fe3+, two Ni2+, and one Zn2+ atom. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the twenty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the thirtieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the thirty-first O2- site, O2- is bonded to three Fe3+ and one Zn2+ atom to form distorted edge-sharing OZnFe3 tetrahedra. In the thirty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li2Cr3CoO8 by Materials Project

Li2Cr3CoO8 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 CoO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There is three shorter (1.98 Å) and one longer (2.01 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 three CoO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There is one shorter (1.96 Å) and three longer (1.99 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 CoO6 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 1.99–2.02 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 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 1.97–1.99 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are three shorter (1.97 Å) and one longer (2.04 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 CoO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Li–O bond distances ranging from 1.97–2.00 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 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 1.98–2.01 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 CoO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.90–2.01 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 CoO6 octahedra, and edges with four CrO6 octahedra. There are four shorter (2.01 Å) and two longer (2.03 Å) Cr–O bond lengths. 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 CoO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.99–2.07 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 CoO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.05 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 CoO6 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 sixth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.04 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 CoO6 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 eighth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.04 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 CoO6 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 tenth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.92–2.01 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 CoO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.06 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 CoO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.05 Å. There are four inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.95 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.93 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.94 Å. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.96 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 Co2+ atom. In the second O2- site, O2- is bonded to one Li1+, two Cr4+, and one Co2+ atom to form distorted corner-sharing OLiCr2Co tetrahedra. In the third O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form distorted corner-sharing OLiCr3 trigonal pyramids. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Co2+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Co2+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Co2+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Co2+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Co2+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Co2+ 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 in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Co2+ atom. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Co2+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal pyramidal 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 Co2+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Co2+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Co2+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Co2+ atom. In the nineteenth O2- site, O2- is bonded in a 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 Co2+ 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 Co2+ atom. In the twenty-second O2- site, O2- is bonded in a 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 Co2+ 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 Co2+ 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 Co2+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to one Li1+, two Cr4+, and one Co2+ 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 in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Co2+ 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 Co2+ 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 Co2+ atom. In the thirty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Co2+ atom.

36 MATERIALS SCIENCE↗