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Severe Temperature Impact Study on Ferrite Electromagnetic Shielding for Wireless Electric Vehicle Charging

Wireless charging of an electric vehicle (EV) is an emerging technology that enables noncontact charging, which has advantages in terms of convenience and flexibility. However, the embedded charging pads under and on the ground expose the charging coils, ferrite shielding, and related components to a potentially severe external environment. To study the electromagnetic shielding performance under such extreme temperature conditions, ferrite shielding material's permeability characteristics are tested under temperatures as low as -50°C to as high as 240°C. Referring to the official recorded lowest and highest temperature of the United States, in this paper, it is assumed that the operation temperature ranges from -50°C to 57°C as the coldest winter and hottest summer environment for WPT application. Electromagnetic performance, shielding, and associated stray magnetic emissions are simulated by using three-dimensional (3D) transient simulations to study the impact of low and high temperature on electromagnetic shielding performance. Based on ferrite testing data, from -50°C low temperature to 57°C high temperature, the ferrite's relative permeability ranges from 2550 to 3727. The simulation study indicates that there won't be significant impact on the EM shielding performance for WPT operated under those severe environment temperature conditions.

24 POWER TRANSMISSION AND DISTRIBUTION↗

Development and evaluation of a prototype tracking system using the treatment couch

Purpose: Tumor motion increases safety margins around the clinical target volume and leads to an increased dose to the surrounding healthy tissue. The authors have developed and evaluated a one-dimensional treatment couch tracking system to counter steer respiratory tumor motion. Three different motion detection sensors with different lag times were evaluated. Methods: The couch tracking system consists of a motion detection sensor, which can be the topometrical system Topos (Cyber Technologies, Germany), the respiratory gating system RPM (Varian Medical Systems) or a laser triangulation system (Micro Epsilon), and the Protura treatment couch (Civco Medical Systems). The control of the treatment couch was implemented in the block diagram environment Simulink (MathWorks). To achieve real time performance, the Simulink models were executed on a real time engine, provided by Real-Time Windows Target (MathWorks). A proportional-integral control system was implemented. The lag time of the couch tracking system using the three different motion detection sensors was measured. The geometrical accuracy of the system was evaluated by measuring the mean absolute deviation from the reference (static position) during motion tracking. This deviation was compared to the mean absolute deviation without tracking and a reduction factor was defined. A hexapod system was moving according to seven respiration patterns previously acquired with the RPM system as well as according to a sin{sup 6} function with two different frequencies (0.33 and 0.17 Hz) and the treatment table compensated the motion. Results: A prototype system for treatment couch tracking of respiratory motion was developed. The laser based tracking system with a small lag time of 57 ms reduced the residual motion by a factor of 11.9 ± 5.5 (mean value ± standard deviation). An increase in delay time from 57 to 130 ms (RPM based system) resulted in a reduction by a factor of 4.7 ± 2.6. The Topos based tracking system with the largest lag time of 300 ms achieved a mean reduction by a factor of 3.4 ± 2.3. The increase in the penumbra of a profile (1 × 1 cm{sup 2}) for a motion of 6 mm was 1.4 mm. With tracking applied there was no increase in the penumbra. Conclusions: Couch tracking with the Protura treatment couch is achievable. To reliably track all possible respiration patterns without prediction filters a short lag time below 100 ms is needed. More scientific work is necessary to extend our prototype to tracking of internal motion.

62 RADIOLOGY AND NUCLEAR MEDICINE↗

The diabetogenic mouse MHC class II molecule I-A[subscript g7] is endowed with a switch that modulates TCR affinity

Genetic susceptibility to autoimmunity is frequently associated with specific MHC alleles. Diabetogenic MHC class II molecules, such as human HLA-DQ8 and mouse I-A{sub g7}, typically have a small, uncharged amino acid residue at position 57 of their {beta} chain ({beta}57); this results in the absence of a salt bridge between {beta}57 and Arg{alpha}76, which is adjacent to the P9 pocket of the peptide-binding groove. However, the influence of Arg{alpha}76 on the selection of the TCR repertoire remains unknown, particularly when the MHC molecule binds a peptide with a neutral amino acid residue at position P9. Here, we have shown that diabetogenic MHC class II molecules bound to a peptide with a neutral P9 residue primarily selected and expanded cells expressing TCRs bearing a negatively charged residue in the first segment of their complementarity determining region 3{beta}. The crystal structure of one such TCR in complex with I-A{sub g7} bound to a peptide containing a neutral P9 residue revealed that a network of favorable long-range (greater than 4 {angstrom}) electrostatic interactions existed among Arg{alpha}76, the neutral P9 residue, and TCR, which supported the substantially increased TCR/peptide-MHC affinity. This network could be modulated or switched to a lower affinity interaction by the introduction of a negative charge at position P9 of the peptide. Our results support the existence of a switch at residue {beta}57 of the I-Ag7 and HLA-DQ8 class II molecules and potentially link normal thymic TCR selection with abnormal peripheral behavior.

59 BASIC BIOLOGICAL SCIENCES↗

Materials Data on Ba6Cu11F34 by Materials Project

Ba6Cu11F34 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are three inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten F1- atoms. There are a spread of Ba–F bond distances ranging from 2.67–3.13 Å. In the second Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.70–3.04 Å. In the third Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.68–3.19 Å. There are six inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to six F1- atoms to form a mixture of distorted corner and edge-sharing CuF6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Cu–F bond distances ranging from 1.90–2.42 Å. In the second Cu2+ site, Cu2+ is bonded to six F1- atoms to form corner-sharing CuF6 octahedra. The corner-sharing octahedra tilt angles range from 25–57°. There are a spread of Cu–F bond distances ranging from 1.92–2.37 Å. In the third Cu2+ site, Cu2+ is bonded in a 6-coordinate geometry to six F1- atoms. There are a spread of Cu–F bond distances ranging from 1.89–2.72 Å. In the fourth Cu2+ site, Cu2+ is bonded to six F1- atoms to form distorted corner-sharing CuF6 octahedra. The corner-sharing octahedra tilt angles range from 23–57°. There are a spread of Cu–F bond distances ranging from 1.92–2.39 Å. In the fifth Cu2+ site, Cu2+ is bonded to six F1- atoms to form corner-sharing CuF6 octahedra. The corner-sharing octahedra tilt angles range from 23–32°. There are a spread of Cu–F bond distances ranging from 1.91–2.41 Å. In the sixth Cu2+ site, Cu2+ is bonded to six F1- atoms to form a mixture of corner and edge-sharing CuF6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Cu–F bond distances ranging from 1.93–2.38 Å. There are seventeen inequivalent F1- sites. In the first F1- site, F1- is bonded in a 2-coordinate geometry to one Ba2+ and two Cu2+ atoms. In the second F1- site, F1- is bonded in a 1-coordinate geometry to two equivalent Ba2+ and two Cu2+ atoms. In the third F1- site, F1- is bonded in a 1-coordinate geometry to two Ba2+ and two Cu2+ atoms. In the fourth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+ and two Cu2+ atoms. In the fifth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+ and two Cu2+ atoms. In the sixth F1- site, F1- is bonded in a 1-coordinate geometry to two Ba2+ and two Cu2+ atoms. In the seventh F1- site, F1- is bonded in a 4-coordinate geometry to two Ba2+ and two Cu2+ atoms. In the eighth F1- site, F1- is bonded in a 4-coordinate geometry to two Ba2+ and two Cu2+ atoms. In the ninth F1- site, F1- is bonded in a 1-coordinate geometry to two equivalent Ba2+ and three Cu2+ atoms. In the tenth F1- site, F1- is bonded in a 1-coordinate geometry to three Ba2+ and one Cu2+ atom. In the eleventh F1- site, F1- is bonded in a 1-coordinate geometry to two Ba2+ and one Cu2+ atom. In the twelfth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Ba2+ and two Cu2+ atoms. In the thirteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Cu2+ atoms. In the fourteenth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+ and two Cu2+ atoms. In the fifteenth F1- site, F1- is bonded in a 1-coordinate geometry to three Ba2+ and one Cu2+ atom. In the sixteenth F1- site, F1- is bonded in a 2-coordinate geometry to two equivalent Ba2+ and two Cu2+ atoms. In the seventeenth F1- site, F1- is bonded in a 3-coordinate geometry to one Ba2+ and two Cu2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg(FeO2)2 by Materials Project

MgFe2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are six 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 FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Mg–O bond distances ranging from 1.99–2.02 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six FeO4 tetrahedra, edges with two MgO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.11 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four FeO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.11 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six FeO4 tetrahedra, edges with two MgO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.11 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six FeO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent FeO6 octahedra. There are five shorter (2.09 Å) and one longer (2.10 Å) Mg–O bond lengths. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.10 Å. There are nine inequivalent Fe3+ sites. In the first 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 three MgO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.09 Å. In the second Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six MgO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of Fe–O bond distances ranging from 1.91–1.97 Å. In the third 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, edges with two MgO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.10 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent FeO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.07 Å. In the fifth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six MgO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of Fe–O bond distances ranging from 1.91–1.96 Å. In the sixth 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 three MgO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.10 Å. In the seventh Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six MgO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There is two shorter (1.91 Å) and two longer (1.97 Å) Fe–O bond length. In the eighth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six MgO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There is two shorter (1.91 Å) and two longer (1.97 Å) Fe–O bond length. In the ninth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There is three shorter (1.93 Å) and one longer (1.98 Å) Fe–O bond length. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the second O2- site, O2- is bonded in a distorted 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 distorted rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the thirteenth O2- site, O2- is bonded to two Mg2+ and two equivalent Fe3+ atoms to form distorted corner-sharing OMg2Fe2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the sixteenth O2- site, O2- is bonded to four Fe3+ atoms to form distorted OFe4 trigonal pyramids that share corners with four OMg2Fe2 trigonal pyramids and edges with three OMgFe3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Mg2+ and three Fe3+ atoms to form distorted OMgFe3 trigonal pyramids that share corners with four OMg2Fe2 trigonal pyramids and edges with three OFe4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Mg2+ and three Fe3+ atoms to form distorted OMgFe3 trigonal pyramids that share corners with three equivalent OMg2Fe2 trigonal pyramids and edges with three OFe4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Y3F17 by Materials Project

Ba4Y3F17 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eight F1- atoms. There are a spread of Ba–F bond distances ranging from 2.65–2.91 Å. In the second Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten F1- atoms. There are a spread of Ba–F bond distances ranging from 2.65–2.96 Å. In the third Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.64–3.17 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.64–3.28 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.66–3.19 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.66–3.29 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten F1- atoms. There are a spread of Ba–F bond distances ranging from 2.65–2.94 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.65–3.16 Å. There are six inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Y–F bond distances ranging from 2.27–2.37 Å. In the second Y3+ site, Y3+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Y–F bond distances ranging from 2.28–2.39 Å. In the third Y3+ site, Y3+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Y–F bond distances ranging from 2.27–2.37 Å. In the fourth Y3+ site, Y3+ is bonded in a 9-coordinate geometry to nine F1- atoms. There are a spread of Y–F bond distances ranging from 2.27–2.60 Å. In the fifth Y3+ site, Y3+ is bonded in a 9-coordinate geometry to nine F1- atoms. There are a spread of Y–F bond distances ranging from 2.27–2.62 Å. In the sixth Y3+ site, Y3+ is bonded in a 9-coordinate geometry to nine F1- atoms. There are a spread of Y–F bond distances ranging from 2.27–2.78 Å. There are thirty-four inequivalent F1- sites. In the first F1- site, F1- is bonded to six Ba2+ atoms to form a mixture of distorted corner and face-sharing FBa6 octahedra. In the second F1- site, F1- is bonded to three Ba2+ and one Y3+ atom to form distorted FBa3Y tetrahedra that share corners with two equivalent FBa6 octahedra, corners with eleven FBa3Y tetrahedra, and edges with four FBa3Y tetrahedra. The corner-sharing octahedra tilt angles range from 53–64°. In the third F1- site, F1- is bonded to four Ba2+ atoms to form FBa4 tetrahedra that share corners with eleven FBa2Y2 tetrahedra, edges with six FBa3Y tetrahedra, and a faceface with one FBa6 octahedra. In the fourth F1- site, F1- is bonded to two Ba2+ and two Y3+ atoms to form distorted FBa2Y2 tetrahedra that share a cornercorner with one FBa6 octahedra, corners with nine FBa3Y tetrahedra, and edges with four FBa2Y2 tetrahedra. The corner-sharing octahedral tilt angles are 57°. In the fifth F1- site, F1- is bonded to three Ba2+ and one Y3+ atom to form distorted FBa3Y tetrahedra that share corners with two equivalent FBa6 octahedra, corners with ten FBa3Y tetrahedra, and edges with five FBa3Y tetrahedra. The corner-sharing octahedra tilt angles range from 51–63°. In the sixth F1- site, F1- is bonded to three Ba2+ and one Y3+ atom to form distorted FBa3Y tetrahedra that share corners with eleven FBa3Y tetrahedra, edges with five FBa3Y tetrahedra, and a faceface with one FBa6 octahedra. In the seventh F1- site, F1- is bonded to three Ba2+ and one Y3+ atom to form distorted FBa3Y tetrahedra that share corners with two equivalent FBa6 octahedra, corners with ten FBa3Y tetrahedra, and edges with five FBa3Y tetrahedra. The corner-sharing octahedra tilt angles range from 53–62°. In the eighth F1- site, F1- is bonded to two Ba2+ and two Y3+ atoms to form FBa2Y2 tetrahedra that share a cornercorner with one FBa6 octahedra, corners with nine FBa3Y tetrahedra, and edges with four FBa2Y2 tetrahedra. The corner-sharing octahedral tilt angles are 57°. In the ninth F1- site, F1- is bonded to three Ba2+ and one Y3+ atom to form distorted FBa3Y tetrahedra that share corners with eleven FBa3Y tetrahedra, edges with four FBa3Y tetrahedra, and a faceface with one FBa6 octahedra. In the tenth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Y3+ atoms. In the eleventh F1- site, F1- is bonded in a bent 150 degrees geometry to one Ba2+ and two Y3+ atoms. In the twelfth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+ and two Y3+ atoms. In the thirteenth F1- site, F1- is bonded to two Ba2+ and two Y3+ atoms to form distorted FBa2Y2 tetrahedra that share a cornercorner with one FBa6 octahedra, corners with nine FBa3Y tetrahedra, and edges with four FBa3Y tetrahedra. The corner-sharing octahedral tilt angles are 56°. In the fourteenth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Ba2+ and two Y3+ atoms. In the fifteenth F1- site, F1- is bonded to three Ba2+ and one Y3+ atom to form distorted FBa3Y tetrahedra that share corners with ten FBa3Y tetrahedra, edges with five FBa2Y2 tetrahedra, and a faceface with one FBa6 octahedra. In the sixteenth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+ and two Y3+ atoms. In the seventeenth F1- site, F1- is bonded in a bent 150 degrees geometry to one Ba2+ and two Y3+ atoms. In the eighteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Y3+ atoms. In the nineteenth F1- site, F1- is bonded in a distorted bent 120 degrees geometry to two Ba2+ and two Y3+ atoms. In the twentieth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Ba2+ and two Y3+ atoms. In the twenty-first F1- site, F1- is bonded to three Ba2+ and one Y3+ atom to form distorted FBa3Y tetrahedra that share corners with eleven FBa2Y2 tetrahedra, edges with four FBa3Y tetrahedra, and a faceface with one FBa6 octahedra. In the twenty-second F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Ba2+ and two Y3+ atoms. In the twenty-third F1- site, F1- is bonded to two Ba2+ and two Y3+ atoms to form distorted FBa2Y2 tetrahedra that share a cornercorner with one FBa6 octahedra, corners with ten FBa3Y tetrahedra, and edges with four FBa3Y tetrahedra. The corner-sharing octahedral tilt angles are 58°. In the twenty-fourth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Ba2+ and two Y3+ atoms. In the twenty-fifth F1- site, F1- is bonded in a distorted bent 120 degrees geometry to two Ba2+ and two Y3+ atoms. In the twenty-sixth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+ and two Y3+ atoms. In the twenty-seventh F1- site, F1- is bonded to three Ba2+ and one Y3+ atom to form distorted FBa3Y tetrahedra that share corners with ten FBa3Y tetrahedra, edges with five FBa3Y tetrahedra, and a faceface with one FBa6 octahedra. In the twenty-eighth F1- site, F1- is bonded to two Ba2+ and two Y3+ atoms to form distorted FBa2Y2 tetrahedra that share a cornercorner with one FBa6 octahedra, corners with ten FBa3Y tetrahedra, and edges with four FBa3Y tetrahedra. The corner-sharing octahedral tilt angles are 57°. In the twenty-ninth F1- site, F1- is bonded to three Ba2+ and one Y3+ atom to form distorted FBa3Y tetrahedra that share corners with two equivalent FBa6 octahedra, corners with ten FBa3Y tetrahedra, and edges with five FBa2Y2 tetrahedra. The corner-sharing octahedra tilt angles range from 52–65°. In the thirtieth F1- site, F1- is bonded in a 4-coordinate geometry to three Ba2+ and one Y3+ atom. In the thirty-first F1- site, F1- is bonded to three Ba2+ and one Y3+ atom to form FBa3Y tetrahedra that share corners with two equivalent FBa6 octahedra, corners with ten FBa3Y tetrahedra, and edges with five FBa3Y tetrahedra. The corner-sharing octahedra tilt angles range from 52–62°. In the thirty-second F1- site, F1- is bonded to two Ba2+ and two Y3+ atoms to form distorted FBa2Y2 tetrahedra that share a cornercorner with one FBa6 octahedra, corners with ten FBa3Y tetrahedra, and edges with three FBa3Y tetrahedra. The corner-sharing octahedral tilt angles are 57°. In the thirty-third F1- site, F1- is bonded to four Ba2+ atoms to form FBa4 tetrahedra that share corners with twelve FBa3Y tetrahedra, edges with five FBa3Y tetrahedra, and a faceface with one FBa6 octahedra. In the thirty-fourth F1- site, F1- is bonded to three Ba2+ and one Y3+ atom to form distorted FBa3Y tetrahedra that share corners with two equivalent FBa6 octahedra, corners with ten FBa3Y tetrahedra, and edges with five FBa2Y2 tetrahedra. The corner-sharing octahedra tilt angles range from 53–63°.

36 MATERIALS SCIENCE↗

Materials Data on Mg(GaO2)2 by Materials Project

MgGa2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are six 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 GaO6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There is two shorter (1.97 Å) and two longer (2.00 Å) Mg–O bond length. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four GaO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five GaO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.09 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six GaO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent GaO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.08 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six GaO4 tetrahedra, edges with two MgO6 octahedra, and edges with four GaO6 octahedra. There are four shorter (2.07 Å) and two longer (2.09 Å) Mg–O bond lengths. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five GaO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five GaO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.09 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six GaO4 tetrahedra, edges with two MgO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.10 Å. There are nine inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six MgO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Ga–O bond distances ranging from 1.88–1.93 Å. In the second Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four GaO4 tetrahedra, edges with three MgO6 octahedra, and edges with three GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.07 Å. In the third Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent GaO4 tetrahedra, edges with two MgO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.08 Å. In the fourth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six GaO4 tetrahedra, edges with two equivalent GaO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.99–2.05 Å. In the fifth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six MgO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There is two shorter (1.87 Å) and two longer (1.91 Å) Ga–O bond length. In the sixth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five GaO4 tetrahedra, edges with three MgO6 octahedra, and edges with three GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.09 Å. In the seventh Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six MgO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There is two shorter (1.88 Å) and two longer (1.93 Å) Ga–O bond length. In the eighth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six MgO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Ga–O bond distances ranging from 1.88–1.95 Å. In the ninth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Ga–O bond distances ranging from 1.89–1.96 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ga3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ga3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ga3+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ga3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ga3+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Ga3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the sixteenth O2- site, O2- is bonded to four Ga3+ atoms to form a mixture of distorted corner and edge-sharing OGa4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Mg2+ and three Ga3+ atoms to form a mixture of distorted corner and edge-sharing OMgGa3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Mg2+ and three Ga3+ atoms to form distorted edge-sharing OMgGa3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ni3(PO4)4 by Materials Project

Li3Ni3(PO4)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 1.93–2.16 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.93–2.14 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Li–O bond distances ranging from 1.89–2.15 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.91–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.92–2.12 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.91–2.20 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Li–O bond distances ranging from 1.90–2.17 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of Li–O bond distances ranging from 1.90–2.22 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 56°. There are a spread of Li–O bond distances ranging from 1.92–2.22 Å. There are nine inequivalent Ni3+ sites. In the first Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one NiO5 trigonal bipyramid. There are a spread of Ni–O bond distances ranging from 2.03–2.12 Å. In the second Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one NiO5 trigonal bipyramid. There are a spread of Ni–O bond distances ranging from 2.02–2.13 Å. In the third Ni3+ site, Ni3+ is bonded to five O2- atoms to form NiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of Ni–O bond distances ranging from 1.90–2.02 Å. In the fourth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one NiO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Ni–O bond distances ranging from 2.03–2.19 Å. In the fifth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one NiO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Ni–O bond distances ranging from 2.02–2.22 Å. In the sixth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one NiO5 trigonal bipyramid. There are a spread of Ni–O bond distances ranging from 2.00–2.14 Å. In the seventh Ni3+ site, Ni3+ is bonded to five O2- atoms to form NiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ni–O bond distances ranging from 1.90–2.02 Å. In the eighth Ni3+ site, Ni3+ is bonded to five O2- atoms to form NiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ni–O bond distances ranging from 1.90–2.02 Å. In the ninth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one NiO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Ni–O bond distances ranging from 2.02–2.22 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–52°. There is one shorter (1.53 Å) and three longer (1.55 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–51°. All P–O bond lengths are 1.55 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 35–53°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–54°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 38–53°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 35–54°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 36–51°. All P–O bond lengths are 1.55 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 34–54°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 38–55°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two NiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 36–53°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 38–55°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–54°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal p

36 MATERIALS SCIENCE↗

Materials Data on Li14Ti21O48 by Materials Project

Li14Ti21O48 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fourteen inequivalent Li sites. In the first Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three equivalent LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are three shorter (1.98 Å) and one longer (2.04 Å) Li–O bond lengths. In the second Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. There are one shorter (2.02 Å) and three longer (2.03 Å) Li–O bond lengths. In the third Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are three shorter (2.03 Å) and one longer (2.04 Å) Li–O bond lengths. In the fourth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three equivalent LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are three shorter (2.00 Å) and one longer (2.01 Å) Li–O bond lengths. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are three shorter (2.12 Å) and three longer (2.13 Å) Li–O bond lengths. In the sixth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are three shorter (2.03 Å) and one longer (2.04 Å) Li–O bond lengths. In the seventh Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three equivalent LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There is one shorter (1.99 Å) and three longer (2.00 Å) Li–O bond length. In the eighth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with eleven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 58–64°. There are a spread of Li–O bond distances ranging from 2.01–2.07 Å. In the ninth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three equivalent LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are three shorter (1.99 Å) and one longer (2.05 Å) Li–O bond lengths. In the tenth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 1.99–2.05 Å. In the eleventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.11–2.14 Å. In the twelfth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–64°. There are a spread of Li–O bond distances ranging from 1.98–2.04 Å. In the thirteenth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with eleven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 57–65°. There are a spread of Li–O bond distances ranging from 2.00–2.06 Å. In the fourteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.10–2.12 Å. There are fifteen inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.06 Å. In the second Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with three equivalent LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.02 Å. In the third Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.05 Å. In the fourth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.06 Å. In the fifth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.06 Å. In the sixth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.06 Å. In the seventh Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. All Ti–O bond lengths are 1.99 Å. In the eighth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the ninth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.06 Å. In the tenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the eleventh Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the twelfth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.11 Å. In the thirteenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with four LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.96–2.04 Å. In the fourteenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.84–2.16 Å. In the fifteenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with four LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.03 Å. There are thirty-six inequivalent O sites. In the first O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 tetrahedra. In the second O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 tetrahedra. In the third O site, O is bonded to one Li and three Ti atoms to form distorted edge-sharing OLiTi3 tetrahedra. In the fourth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two equivalent Ti atoms. In the fifth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Ti atoms. In the sixth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li and three Ti atoms. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Ti atoms. In the eighth O site, O is bonded in a distorted T-shaped geometry to three Ti atoms. In the ninth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two equivalent Ti atoms. In the tenth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 tetrahedra. In the eleventh O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 tetrahedra. In the twelfth O site, O is bonded to one Li and three Ti atoms to form distorted edge-sharing OLiTi3 tetrahedra. In the thirteenth O site, O is bonded to one Li and three Ti atoms to form distorted edge-sharing OLiTi3 tetrahedra. In the fourteenth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 tetrahedra. In the fifteenth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 tetrahedra. In the sixteenth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two equivalent Ti atoms. In the seventeenth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Ti atoms. In the eighteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li and three Ti atoms. In the nineteenth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Ti atoms. In the twentieth O site, O is bonded to one Li and three Ti atoms to form distorted OLiTi3 trigonal pyramids that share corners with nine OLiTi3 tetrahedra and corners with two equivalent OLi2Ti2 trigonal pyramids. In the twenty-first O site, O is bonded in a rectangular see-saw-like geometry to two Li and two equivalent Ti atoms. In the twenty-second O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Ti atoms. In the twenty-third O site, O is bonded to one Li and three Ti atoms to form distorted OLiTi3 tetrahedra that share corners with two OLiTi3 tetrahedra, corners with five OLi2Ti2 trigonal pyramids, and edges with three OLiTi3 tetrahedra. In the twenty-fourth O site, O is bonded to two Li and two equivalent Ti atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with three OLiTi3 tetrahedra, corners with three equivalent OLi2Ti2 trigonal pyramids, and edges with two equivalent OLi2Ti2 trigonal pyramids. In the twenty-fifth O site, O is bonded to two Li and two Ti atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with three OLiTi3 tetrahedra, corners with four OLi2Ti2 trigonal pyramids, and edges with two OLi2Ti2 trigonal pyramids. In the twenty-sixth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 tetrahedra. In the twenty-seventh O site, O is bonded to one Li and three Ti atoms to form OLiTi3 tetrahedra that share corners with two equivalent OLiTi3 tetrahedra, corners with five OLi2Ti2 trigonal pyramids, and edges with three OLiTi3 tetrahedra. In the twenty-eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li and two Ti atoms. In the twenty-ninth O site, O is bonded to one Li and three Ti atoms to form OLiTi3 tetrahedra that share corners with two equivalent OLiTi3 tetrahedra, corners with three OLi2Ti2 trig

36 MATERIALS SCIENCE↗

Materials Data on Li47Mn5As19 by Materials Project

Li47Mn5As19 is alpha bismuth trifluoride-derived structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are forty-seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with three equivalent MnAs4 tetrahedra, corners with thirteen LiAs4 tetrahedra, and edges with six LiAs4 tetrahedra. There are three shorter (2.70 Å) and one longer (2.71 Å) Li–As bond lengths. In the second Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with three equivalent MnAs4 tetrahedra, corners with thirteen LiAs4 tetrahedra, edges with three equivalent LiAs4 tetrahedra, and edges with three equivalent MnAs4 tetrahedra. There are one shorter (2.61 Å) and three longer (2.75 Å) Li–As bond lengths. In the third Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with three equivalent MnAs4 tetrahedra, corners with thirteen LiAs4 tetrahedra, and edges with six MnAs4 tetrahedra. There are one shorter (2.57 Å) and three longer (2.64 Å) Li–As bond lengths. In the fourth Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with four MnAs4 tetrahedra, corners with twelve LiAs4 tetrahedra, and edges with six MnAs4 tetrahedra. There are three shorter (2.64 Å) and one longer (2.65 Å) Li–As bond lengths. In the fifth Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with six LiAs6 octahedra, corners with three equivalent MnAs4 tetrahedra, corners with thirteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three equivalent LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are three shorter (2.58 Å) and one longer (2.88 Å) Li–As bond lengths. In the sixth Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with four MnAs4 tetrahedra, corners with twelve LiAs4 tetrahedra, and edges with six MnAs4 tetrahedra. There are three shorter (2.63 Å) and one longer (2.64 Å) Li–As bond lengths. In the seventh Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with twelve LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with four LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are three shorter (2.64 Å) and one longer (2.71 Å) Li–As bond lengths. In the eighth Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with six equivalent LiAs6 octahedra, a cornercorner with one MnAs4 tetrahedra, corners with fifteen LiAs4 tetrahedra, edges with three equivalent LiAs4 tetrahedra, edges with three equivalent MnAs4 tetrahedra, and a faceface with one LiAs6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.59 Å) and three longer (2.67 Å) Li–As bond lengths. In the ninth Li1+ site, Li1+ is bonded to six As3- atoms to form distorted LiAs6 octahedra that share corners with three equivalent LiAs6 octahedra, corners with three equivalent MnAs4 tetrahedra, corners with twenty-one LiAs4 tetrahedra, edges with nine LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedral tilt angles are 2°. There are three shorter (3.00 Å) and three longer (3.10 Å) Li–As bond lengths. In the tenth Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with nine LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with four LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are three shorter (2.63 Å) and one longer (2.69 Å) Li–As bond lengths. In the eleventh Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with nine LiAs6 octahedra, a cornercorner with one MnAs4 tetrahedra, corners with fifteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with four LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are one shorter (2.62 Å) and three longer (2.65 Å) Li–As bond lengths. In the twelfth Li1+ site, Li1+ is bonded to six As3- atoms to form distorted LiAs6 octahedra that share corners with six LiAs6 octahedra, corners with twenty-four LiAs4 tetrahedra, edges with twelve LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 2–3°. There are three shorter (3.02 Å) and three longer (3.11 Å) Li–As bond lengths. In the thirteenth Li1+ site, Li1+ is bonded to six As3- atoms to form distorted LiAs6 octahedra that share corners with three equivalent LiAs6 octahedra, corners with twenty-four LiAs4 tetrahedra, edges with nine LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedral tilt angles are 3°. There are three shorter (3.01 Å) and three longer (3.10 Å) Li–As bond lengths. In the fourteenth Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with twelve LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with four LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are one shorter (2.64 Å) and three longer (2.66 Å) Li–As bond lengths. In the fifteenth Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with six equivalent LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and a faceface with one LiAs6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are three shorter (2.63 Å) and one longer (2.70 Å) Li–As bond lengths. In the sixteenth Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with six LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three equivalent LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are one shorter (2.62 Å) and three longer (2.66 Å) Li–As bond lengths. In the seventeenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six As3- atoms. There are three shorter (3.01 Å) and three longer (3.11 Å) Li–As bond lengths. In the eighteenth Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with three equivalent MnAs4 tetrahedra, corners with thirteen LiAs4 tetrahedra, and edges with six LiAs4 tetrahedra. There are three shorter (2.63 Å) and one longer (2.69 Å) Li–As bond lengths. In the nineteenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three equivalent As3- atoms. All Li–As bond lengths are 2.95 Å. In the twentieth Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with three equivalent LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, and edges with six LiAs4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. There are one shorter (2.59 Å) and three longer (2.67 Å) Li–As bond lengths. In the twenty-first Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three equivalent As3- atoms. All Li–As bond lengths are 2.95 Å. In the twenty-second Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with three equivalent LiAs6 octahedra, corners with three equivalent MnAs4 tetrahedra, corners with thirteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three equivalent LiAs6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are one shorter (2.58 Å) and three longer (2.67 Å) Li–As bond lengths. In the twenty-third Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with three equivalent MnAs4 tetrahedra, corners with thirteen LiAs4 tetrahedra, edges with three equivalent LiAs4 tetrahedra, and edges with three equivalent MnAs4 tetrahedra. There are three shorter (2.63 Å) and one longer (2.67 Å) Li–As bond lengths. In the twenty-fourth Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with six equivalent LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and a faceface with one LiAs6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.61 Å) and three longer (2.66 Å) Li–As bond lengths. In the twenty-fifth Li1+ site, Li1+ is bonded to six As3- atoms to form distorted LiAs6 octahedra that share corners with three equivalent MnAs4 tetrahedra, corners with twenty-one LiAs4 tetrahedra, edges with six equivalent LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. There are three shorter (3.02 Å) and three longer (3.09 Å) Li–As bond lengths. In the twenty-sixth Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with six equivalent LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with three equivalent LiAs4 tetrahedra, edges with three equivalent MnAs4 tetrahedra, and a faceface with one LiAs6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are one shorter (2.60 Å) and three longer (2.64 Å) Li–As bond lengths. In the twenty-seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six As3- atoms. There are three shorter (3.00 Å) and three longer (3.10 Å) Li–As bond lengths. In the twenty-eighth Li1+ site, Li1+ is bonded to four As3- atoms to form a mixture of corner and edge-sharing LiAs4 tetrahedra. There are one shorter (2.61 Å) and three longer (2.66 Å) Li–As bond lengths. In the twenty-ninth Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with three equivalent LiAs6 octahedra, a cornercorner with one MnAs4 tetrahedra, corners with fifteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three equivalent LiAs6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are three shorter (2.63 Å) and one longer (2.69 Å) Li–As bond lengths. In the thirtieth Li1+ site, Li1+ is bonded to four As3- atoms to form LiAs4 tetrahedra that share corners with three equivalent LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, and edges with six LiAs4 tetrahedra. The corner-sharing octahedral tilt angles are 56°. There are three shorter (2.63 Å) and one longer (2.69 Å) Li–As bond lengths. In the thirty-first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six As3- atoms. There are three shorter (3.01 Å) and three longer (3.11 Å) Li–As bond lengths. In the thirty-second Li1+ site, Li1+ is bonded to four As3- atoms to form a mixture of corner and edge-sharing LiAs4 tetrahedra. There are one shorter (2.61 Å) and three longer (2.66 Å) Li–As bond lengths. In the thirty-third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six As3- atoms. There are three shorter (3.00 Å) and three longer (3.11 Å) Li–As bond lengths. In the thirty-fourth Li1+ site, Li1+ is bonded to four As3- atoms to form a mixture of corner and edge-sharing LiAs4 tetrahedra. There are three shorter (2.63 Å) and one longer (2.69 Å) Li–As bond lengths. In the thirty-fifth Li1+ site, Li1+ is bonded to four As3- atoms to form a mixture of corner and edge-sharing LiAs4 tetrahedra. There are one shorter (2.61 Å) and three longer (2.66 Å) Li–As bond lengths. In the thirty-sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six As3- atoms. There are three shorter (3.00 Å) and three longer (3.10 Å) Li–As bond lengths. In the thirty-seventh Li1+ site, Li1+ is bonded to four As3- atoms to form a mixture of corner and edge-sharing LiAs4 tetrahedra. There are one shorter (2.60 Å) and three longer (2.66 Å) Li–As bond lengths. In the thirty-eighth Li1+ site, Li1+ is bonded to four As3- atoms to form a mixture of corner and edge-sharing LiAs4 tetrahedra. There are three shorter (2.63 Å) and one longer (2.69 Å) Li–As bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Na2Al17Si11B7(H3O31)2 by Materials Project

Na2Al17B7Si11(H3O31)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Na sites. In the first Na site, Na is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Na–O bond distances ranging from 2.60–2.86 Å. In the second Na site, Na is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Na–O bond distances ranging from 2.32–2.98 Å. There are seventeen inequivalent Al sites. In the first Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, a cornercorner with one BO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with three AlO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Al–O bond distances ranging from 1.86–2.10 Å. In the second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with three SiO4 tetrahedra, and edges with three AlO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Al–O bond distances ranging from 1.88–2.03 Å. In the third Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two SiO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.04 Å. In the fourth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two SiO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.06 Å. In the fifth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, a cornercorner with one BO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with three AlO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Al–O bond distances ranging from 1.88–2.03 Å. In the sixth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with three SiO4 tetrahedra, and edges with three AlO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Al–O bond distances ranging from 1.86–2.02 Å. In the seventh Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with three SiO4 tetrahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Al–O bond distances ranging from 1.89–1.96 Å. In the eighth Al site, Al is bonded to six O atoms to form distorted AlO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with three SiO4 tetrahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Al–O bond distances ranging from 1.78–2.09 Å. In the ninth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one BO4 tetrahedra, a cornercorner with one SiO4 tetrahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.06 Å. In the tenth Al site, Al is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Al–O bond distances ranging from 1.78–2.43 Å. In the eleventh Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with three SiO4 tetrahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Al–O bond distances ranging from 1.78–2.07 Å. In the twelfth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with three SiO4 tetrahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Al–O bond distances ranging from 1.86–1.94 Å. In the thirteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with three SiO4 tetrahedra, and edges with three AlO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Al–O bond distances ranging from 1.86–2.04 Å. In the fourteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, a cornercorner with one BO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with three AlO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Al–O bond distances ranging from 1.89–2.03 Å. In the fifteenth Al site, Al is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Al–O bond distances ranging from 1.78–2.40 Å. In the sixteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with three SiO4 tetrahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Al–O bond distances ranging from 1.87–1.96 Å. In the seventeenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with three SiO4 tetrahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Al–O bond distances ranging from 1.89–1.97 Å. There are seven inequivalent B sites. In the first B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.37–1.39 Å. In the second B site, B is bonded to four O atoms to form BO4 tetrahedra that share corners with four AlO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of B–O bond distances ranging from 1.48–1.52 Å. In the third B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.35 Å) and two longer (1.40 Å) B–O bond length. In the fourth B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.38 Å) and one longer (1.39 Å) B–O bond length. In the fifth B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.37 Å) and one longer (1.40 Å) B–O bond length. In the sixth B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.35 Å) and two longer (1.40 Å) B–O bond length. In the seventh B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.37 Å) and two longer (1.39 Å) B–O bond length. There are eleven inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra, a cornercorner with one BO4 tetrahedra, and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–56°. There are a spread of Si–O bond distances ranging from 1.57–1.66 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra, a cornercorner with one BO4 tetrahedra, and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–63°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Si–O bond distances ranging from 1.57–1.66 Å. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Si–O bond distances ranging from 1.61–1.64 Å. In the eleventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. There are six inequivalent H sites. In the first H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the second H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the third H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the fourth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.97 Å. In the fifth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the sixth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. There are sixty-two inequivalent O sites. In the first O site, O is bonded in a trigonal planar geometry to two Al and one Si atom. In the second O site, O is bonded in a trigonal planar geometry to two Al and one B atom. In the third O site, O is bonded in a distorted trigonal planar geometry to two Al and one Si atom. In the fourth O site, O is bonded in a distorted trigonal planar geometry to two Al and one Si atom. In the fifth O site, O is bonded in a distorted trigonal planar geometry to two Al and one B atom. In the sixth O site, O is bonded in a distorted trigonal planar geometry to two Al and one B atom. In the seventh O site, O is bonded in a bent 150 degrees geometry to one Na, one B, and one Si atom. In the eighth O site, O is bonded in a 2-coordinate geometry to one Na and two Si atoms. In the ninth O site, O is bonded in a trigonal planar geometry to two Al and one Si atom. In the tenth O site, O is bonded in a trigonal planar geometry to two Al and one Si atom. In the eleventh O site, O is bonded in a distorted bent 120 degrees geometry to one Na and two Si atoms. In the twelfth O site, O is bonded in a distorted bent 120 degrees geometry to one Na and two Si atoms. In the thirteenth O site, O is bonded in a distorted single-bond geometry to three Al and one H atom. In the fourteenth O site, O is bonded in a distorted single-bond geometry

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn9(P2O7)8 by Materials Project

Li5Mn9(P2O7)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li sites. In the first Li site, Li is bonded in a 4-coordinate geometry to three O atoms. There are one shorter (1.93 Å) and two longer (2.07 Å) Li–O bond lengths. In the second Li site, Li is bonded in a distorted T-shaped geometry to three O atoms. There are a spread of Li–O bond distances ranging from 1.95–2.00 Å. In the third Li site, Li is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 2.05–2.29 Å. In the fourth Li site, Li is bonded in a distorted T-shaped geometry to three O atoms. There are a spread of Li–O bond distances ranging from 1.95–2.05 Å. In the fifth Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share corners with two MnO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 74–80°. There are a spread of Li–O bond distances ranging from 1.94–2.45 Å. There are nine inequivalent Mn sites. In the first Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Mn–O bond distances ranging from 1.95–2.31 Å. In the second Mn site, Mn is bonded to six O atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Mn–O bond distances ranging from 1.91–2.47 Å. In the third Mn site, Mn is bonded to six O atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Mn–O bond distances ranging from 1.94–2.46 Å. In the fourth Mn site, Mn is bonded to six O atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Mn–O bond distances ranging from 1.89–2.56 Å. In the fifth Mn site, Mn is bonded in a 4-coordinate geometry to six O atoms. There are a spread of Mn–O bond distances ranging from 1.94–2.53 Å. In the sixth Mn site, Mn is bonded to six O atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Mn–O bond distances ranging from 1.89–2.48 Å. In the seventh Mn site, Mn is bonded to six O atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Mn–O bond distances ranging from 1.93–2.46 Å. In the eighth Mn site, Mn is bonded to six O atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Mn–O bond distances ranging from 1.91–2.47 Å. In the ninth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with six PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 63°. There are a spread of Mn–O bond distances ranging from 1.93–2.23 Å. There are sixteen inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–51°. There are a spread of P–O bond distances ranging from 1.51–1.64 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–57°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–47°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–54°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 20–56°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–54°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the ninth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–50°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the tenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 20–56°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the eleventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the twelfth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the thirteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–55°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fourteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–48°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fifteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the sixteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 45–50°. There are a spread of P–O bond distances ranging from 1.51–1.64 Å. There are fifty-six inequivalent O sites. In the first O site, O is bonded in a distorted trigonal planar geometry to one Li, one Mn, and one P atom. In the second O site, O is bonded in a distorted bent 120 degrees geometry to one Mn and one P atom. In the third O site, O is bonded in a distorted T-shaped geometry to two Li and one P atom. In the fourth O site, O is bonded in a 2-coordinate geometry to two Mn and one P atom. In the fifth O site, O is bonded in a distorted water-like geometry to one Mn and one P atom. In the sixth O site, O is bonded in a bent 120 degrees geometry to one Mn and one P atom. In the seventh O site, O is bonded in a bent 150 degrees geometry to one Mn and one P atom. In the eighth O site, O is bonded in a 3-coordinate geometry to one Li, one Mn, and one P atom. In the ninth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Mn, and one P atom. In the tenth O site, O is bonded in a distorted bent 120 degrees geometry to two P atoms. In the eleventh O site, O is bonded in a 3-coordinate geometry to two Li and one P atom. In the twelfth O site, O is bonded in a distorted bent 150 degrees geometry to one Mn and one P atom. In the thirteenth O site, O is bonded in a distorted bent 120 degrees geometry to two P atoms. In the fourteenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Mn, and one P atom. In the fifteenth O site, O is bonded in a bent 150 degrees geometry to one Mn and one P atom. In the sixteenth O site, O is bonded in a bent 150 degrees geometry to one Mn and one P atom. In the seventeenth O site, O is bonded in a bent 120 degrees geometry to two P atoms. In the eighteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Mn and one P atom. In the nineteenth O site, O is bonded in a bent 150 degrees geometry to one Mn and one P atom. In the twentieth O site, O is bonded in a distorted trigonal planar geometry to two Mn and one P atom. In the twenty-first O site, O is bonded in a 2-coordinate geometry to two Mn and one P atom. In the twenty-second O site, O is bonded in a distorted bent 150 degrees geometry to one Mn and one P atom. In the twenty-third O site, O is bonded in a bent 150 degrees geometry to one Mn and one P atom. In the twenty-fourth O site, O is bonded in a bent 150 degrees geometry to one Mn and one P atom. In the twenty-fifth O site, O is bonded in a 2-coordinate geometry to two Mn and one P atom. In the twenty-sixth O site, O is bonded in a water-like geometry to one Mn and one P atom. In the twenty-seventh O site, O is bonded in a bent 120 degrees geometry to two P atoms. In the twenty-eighth O site, O is bonded in a 2-coordinate geometry to two Mn and one P atom. In the twenty-ninth O site, O is bonded in a 2-coordinate geometry to two Mn and one P atom. In the thirtieth O site, O is bonded in a bent 120 degrees geometry to two P atoms. In the thirty-first O site, O is bonded in a water-like geometry to one Mn and one P atom. In the thirty-second O site, O is bonded in a distorted bent 150 degrees geometry to one Mn and one P atom. In the thirty-third O site, O is bonded in a 2-coordinate geometry

36 MATERIALS SCIENCE↗

Materials Data on BeAl6O10 by Materials Project

BeAl6O10 is beta indium sulfide-derived structured and crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are two inequivalent Be2+ sites. In the first Be2+ site, Be2+ is bonded to four O2- atoms to form distorted BeO4 tetrahedra that share corners with six AlO6 octahedra and edges with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Be–O bond distances ranging from 1.58–1.72 Å. In the second Be2+ site, Be2+ is bonded to four O2- atoms to form BeO4 tetrahedra that share corners with six AlO6 octahedra and edges with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Be–O bond distances ranging from 1.58–1.71 Å. There are twelve inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three AlO6 octahedra, a cornercorner with one BeO4 tetrahedra, corners with two AlO4 tetrahedra, edges with five AlO6 octahedra, and an edgeedge with one BeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 12–56°. There are a spread of Al–O bond distances ranging from 1.87–2.01 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with four AlO6 octahedra, corners with two equivalent BeO4 tetrahedra, corners with two equivalent AlO4 tetrahedra, edges with three AlO6 octahedra, and an edgeedge with one BeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Al–O bond distances ranging from 1.85–2.07 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with four AlO6 octahedra, a cornercorner with one BeO4 tetrahedra, a cornercorner with one AlO4 tetrahedra, edges with four AlO6 octahedra, and an edgeedge with one BeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 12–57°. There are a spread of Al–O bond distances ranging from 1.84–2.00 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with four AlO6 octahedra, corners with two AlO4 tetrahedra, and edges with five AlO6 octahedra. The corner-sharing octahedra tilt angles range from 18–56°. There are a spread of Al–O bond distances ranging from 1.83–2.01 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO6 octahedra, a cornercorner with one BeO4 tetrahedra, corners with three AlO4 tetrahedra, edges with five AlO6 octahedra, and an edgeedge with one BeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Al–O bond distances ranging from 1.87–1.94 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO6 octahedra, corners with two equivalent BeO4 tetrahedra, corners with two equivalent AlO4 tetrahedra, and edges with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Al–O bond distances ranging from 1.84–2.08 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–64°. There are a spread of Al–O bond distances ranging from 1.73–1.82 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–64°. There are a spread of Al–O bond distances ranging from 1.73–1.82 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with four AlO6 octahedra, a cornercorner with one BeO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 48–61°. There are a spread of Al–O bond distances ranging from 1.83–2.07 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO6 octahedra, a cornercorner with one BeO4 tetrahedra, corners with three AlO4 tetrahedra, edges with five AlO6 octahedra, and an edgeedge with one BeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Al–O bond distances ranging from 1.89–1.94 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three AlO6 octahedra, a cornercorner with one BeO4 tetrahedra, corners with two AlO4 tetrahedra, edges with five AlO6 octahedra, and an edgeedge with one BeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 18–61°. There are a spread of Al–O bond distances ranging from 1.86–2.00 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO6 octahedra, corners with two equivalent BeO4 tetrahedra, corners with two equivalent AlO4 tetrahedra, and edges with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Al–O bond distances ranging from 1.83–2.07 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Be2+ and three Al3+ atoms. In the third O2- site, O2- is bonded to four Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl4 trigonal pyramids. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Be2+ and three Al3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Be2+ and three Al3+ atoms. In the sixth O2- site, O2- is bonded to four Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl4 trigonal pyramids. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Be2+ and three Al3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Be2+ and three Al3+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the tenth O2- site, O2- is bonded in a see-saw-like geometry to four Al3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Be2+ and three Al3+ atoms. In the twelfth O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 tetrahedra. In the thirteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to four Al3+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Be2+ and three Al3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Be2+ and three Al3+ atoms. In the nineteenth O2- site, O2- is bonded to four Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl4 tetrahedra. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on NaGa3Se5 by Materials Project

NaGa3Se5 crystallizes in the orthorhombic P2_12_12_1 space group. The structure is three-dimensional. there are four inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six Se2- atoms to form distorted NaSe6 octahedra that share corners with six NaSe6 octahedra, corners with four GaSe4 tetrahedra, and edges with four GaSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 23–40°. There are a spread of Na–Se bond distances ranging from 2.99–3.28 Å. In the second Na1+ site, Na1+ is bonded to six Se2- atoms to form distorted NaSe6 octahedra that share corners with six NaSe6 octahedra, corners with four GaSe4 tetrahedra, and edges with four GaSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–37°. There are a spread of Na–Se bond distances ranging from 3.01–3.35 Å. In the third Na1+ site, Na1+ is bonded to six Se2- atoms to form distorted NaSe6 octahedra that share corners with six NaSe6 octahedra, corners with ten GaSe4 tetrahedra, and an edgeedge with one GaSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–37°. There are a spread of Na–Se bond distances ranging from 3.10–3.21 Å. In the fourth Na1+ site, Na1+ is bonded to six Se2- atoms to form distorted NaSe6 octahedra that share corners with six NaSe6 octahedra, corners with six GaSe4 tetrahedra, and edges with three GaSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 23–40°. There are a spread of Na–Se bond distances ranging from 2.98–3.35 Å. There are twelve inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four Se2- atoms to form GaSe4 tetrahedra that share corners with two NaSe6 octahedra, corners with six GaSe4 tetrahedra, and an edgeedge with one NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 57–79°. There are a spread of Ga–Se bond distances ranging from 2.42–2.50 Å. In the second Ga3+ site, Ga3+ is bonded to four Se2- atoms to form GaSe4 tetrahedra that share corners with two NaSe6 octahedra, corners with six GaSe4 tetrahedra, and an edgeedge with one NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 56–73°. There are a spread of Ga–Se bond distances ranging from 2.43–2.52 Å. In the third Ga3+ site, Ga3+ is bonded to four Se2- atoms to form GaSe4 tetrahedra that share corners with two equivalent NaSe6 octahedra, corners with four GaSe4 tetrahedra, an edgeedge with one NaSe6 octahedra, and an edgeedge with one GaSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–77°. There are a spread of Ga–Se bond distances ranging from 2.42–2.52 Å. In the fourth Ga3+ site, Ga3+ is bonded to four Se2- atoms to form GaSe4 tetrahedra that share corners with two NaSe6 octahedra, corners with six GaSe4 tetrahedra, and an edgeedge with one NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 57–71°. There are a spread of Ga–Se bond distances ranging from 2.42–2.51 Å. In the fifth Ga3+ site, Ga3+ is bonded to four Se2- atoms to form GaSe4 tetrahedra that share corners with two NaSe6 octahedra, corners with six GaSe4 tetrahedra, and an edgeedge with one NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 57–69°. There are a spread of Ga–Se bond distances ranging from 2.42–2.52 Å. In the sixth Ga3+ site, Ga3+ is bonded to four Se2- atoms to form GaSe4 tetrahedra that share corners with two NaSe6 octahedra, corners with four GaSe4 tetrahedra, an edgeedge with one NaSe6 octahedra, and an edgeedge with one GaSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–83°. There are a spread of Ga–Se bond distances ranging from 2.41–2.50 Å. In the seventh Ga3+ site, Ga3+ is bonded to four Se2- atoms to form GaSe4 tetrahedra that share corners with two NaSe6 octahedra, corners with four GaSe4 tetrahedra, an edgeedge with one NaSe6 octahedra, and an edgeedge with one GaSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–66°. There are a spread of Ga–Se bond distances ranging from 2.39–2.51 Å. In the eighth Ga3+ site, Ga3+ is bonded to four Se2- atoms to form GaSe4 tetrahedra that share corners with two NaSe6 octahedra, corners with six GaSe4 tetrahedra, and an edgeedge with one NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 56–80°. There are a spread of Ga–Se bond distances ranging from 2.42–2.50 Å. In the ninth Ga3+ site, Ga3+ is bonded to four Se2- atoms to form GaSe4 tetrahedra that share corners with two NaSe6 octahedra, corners with six GaSe4 tetrahedra, and an edgeedge with one NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 60–77°. There are a spread of Ga–Se bond distances ranging from 2.42–2.50 Å. In the tenth Ga3+ site, Ga3+ is bonded to four Se2- atoms to form GaSe4 tetrahedra that share corners with two equivalent NaSe6 octahedra, corners with six GaSe4 tetrahedra, and an edgeedge with one NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 57–78°. There are a spread of Ga–Se bond distances ranging from 2.42–2.48 Å. In the eleventh Ga3+ site, Ga3+ is bonded to four Se2- atoms to form GaSe4 tetrahedra that share corners with two NaSe6 octahedra, corners with six GaSe4 tetrahedra, and an edgeedge with one NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Ga–Se bond distances ranging from 2.45–2.53 Å. In the twelfth Ga3+ site, Ga3+ is bonded to four Se2- atoms to form GaSe4 tetrahedra that share corners with two equivalent NaSe6 octahedra, corners with four GaSe4 tetrahedra, an edgeedge with one NaSe6 octahedra, and an edgeedge with one GaSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–69°. There are a spread of Ga–Se bond distances ranging from 2.42–2.52 Å. There are twenty inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a 4-coordinate geometry to two Na1+ and two Ga3+ atoms. In the second Se2- site, Se2- is bonded in a trigonal non-coplanar geometry to three Ga3+ atoms. In the third Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two Ga3+ atoms. In the fourth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two Ga3+ atoms. In the fifth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two Ga3+ atoms. In the sixth Se2- site, Se2- is bonded in a 4-coordinate geometry to two Na1+ and two Ga3+ atoms. In the seventh Se2- site, Se2- is bonded in a trigonal non-coplanar geometry to three Ga3+ atoms. In the eighth Se2- site, Se2- is bonded in a 4-coordinate geometry to two Na1+ and two Ga3+ atoms. In the ninth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two Ga3+ atoms. In the tenth Se2- site, Se2- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the eleventh Se2- site, Se2- is bonded in a trigonal non-coplanar geometry to three Ga3+ atoms. In the twelfth Se2- site, Se2- is bonded in a trigonal non-coplanar geometry to three Ga3+ atoms. In the thirteenth Se2- site, Se2- is bonded in a distorted trigonal non-coplanar geometry to three Ga3+ atoms. In the fourteenth Se2- site, Se2- is bonded in a 4-coordinate geometry to two Na1+ and two Ga3+ atoms. In the fifteenth Se2- site, Se2- is bonded in a distorted trigonal non-coplanar geometry to three Ga3+ atoms. In the sixteenth Se2- site, Se2- is bonded in a 4-coordinate geometry to two Na1+ and two Ga3+ atoms. In the seventeenth Se2- site, Se2- is bonded in a 4-coordinate geometry to two Na1+ and two Ga3+ atoms. In the eighteenth Se2- site, Se2- is bonded in a 4-coordinate geometry to two Na1+ and two Ga3+ atoms. In the nineteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two Ga3+ atoms. In the twentieth Se2- site, Se2- is bonded in a distorted trigonal non-coplanar geometry to three Ga3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ni4P4O15 by Materials Project

Ni4P4O15 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are six inequivalent Ni+2.50+ sites. In the first Ni+2.50+ site, Ni+2.50+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two NiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent NiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Ni–O bond distances ranging from 1.98–2.22 Å. In the second Ni+2.50+ site, Ni+2.50+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with six PO4 tetrahedra, and an edgeedge with one NiO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Ni–O bond distances ranging from 1.98–2.09 Å. In the third Ni+2.50+ site, Ni+2.50+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four NiO6 octahedra, corners with two equivalent PO4 tetrahedra, and edges with two equivalent PO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Ni–O bond distances ranging from 1.98–2.09 Å. In the fourth Ni+2.50+ site, Ni+2.50+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with six PO4 tetrahedra, and an edgeedge with one NiO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Ni–O bond distances ranging from 1.99–2.09 Å. In the fifth Ni+2.50+ site, Ni+2.50+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two NiO6 octahedra, corners with four PO4 tetrahedra, edges with three NiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of Ni–O bond distances ranging from 2.02–2.16 Å. In the sixth Ni+2.50+ site, Ni+2.50+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with four PO4 tetrahedra. There is two shorter (1.92 Å) and two longer (1.95 Å) Ni–O bond length. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 16–59°. There are a spread of P–O bond distances ranging from 1.50–1.65 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO4 tetrahedra, and an edgeedge with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two NiO6 octahedra, a cornercorner with one NiO4 tetrahedra, and edges with two NiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. There are fifteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Ni+2.50+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ni+2.50+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to one Ni+2.50+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni+2.50+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni+2.50+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ni+2.50+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ni+2.50+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ni+2.50+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ni+2.50+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni+2.50+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Ni+2.50+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ni+2.50+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ni+2.50+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni+2.50+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on MnP2O7 by Materials Project

MnP2O7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Mn–O bond distances ranging from 1.91–2.03 Å. In the second Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Mn–O bond distances ranging from 1.94–2.33 Å. In the third Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Mn–O bond distances ranging from 1.94–2.33 Å. In the fourth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Mn–O bond distances ranging from 1.91–2.03 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–46°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–44°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–42°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–43°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–44°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–46°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn4+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn4+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn4+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the seventh O2- site, O2- is bonded in an L-shaped geometry to one Mn4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn4+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn4+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn4+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn4+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn4+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn4+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn4+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn4+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn4+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn4+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn4+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn4+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn4+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn4+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in an L-shaped geometry to one Mn4+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn4+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn4+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn4+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on FeS by Materials Project

FeS is Modderite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 39–56°. There are a spread of Fe–S bond distances ranging from 2.27–2.50 Å. In the second Fe2+ site, Fe2+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 38–57°. There are a spread of Fe–S bond distances ranging from 2.27–2.53 Å. In the third Fe2+ site, Fe2+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 38–57°. There are a spread of Fe–S bond distances ranging from 2.25–2.42 Å. In the fourth Fe2+ site, Fe2+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 40–56°. There are a spread of Fe–S bond distances ranging from 2.28–2.51 Å. In the fifth Fe2+ site, Fe2+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 39–56°. There are a spread of Fe–S bond distances ranging from 2.28–2.51 Å. In the sixth Fe2+ site, Fe2+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 38–57°. There are a spread of Fe–S bond distances ranging from 2.25–2.43 Å. In the seventh Fe2+ site, Fe2+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 38–57°. There are a spread of Fe–S bond distances ranging from 2.27–2.53 Å. In the eighth Fe2+ site, Fe2+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 39–56°. There are a spread of Fe–S bond distances ranging from 2.27–2.51 Å. There are eight inequivalent S2- sites. In the first S2- site, S2- is bonded in a 6-coordinate geometry to six Fe2+ atoms. In the second S2- site, S2- is bonded in a 6-coordinate geometry to six Fe2+ atoms. In the third S2- site, S2- is bonded in a 6-coordinate geometry to six Fe2+ atoms. In the fourth S2- site, S2- is bonded in a 6-coordinate geometry to six Fe2+ atoms. In the fifth S2- site, S2- is bonded in a 6-coordinate geometry to six Fe2+ atoms. In the sixth S2- site, S2- is bonded in a 6-coordinate geometry to six Fe2+ atoms. In the seventh S2- site, S2- is bonded in a 6-coordinate geometry to six Fe2+ atoms. In the eighth S2- site, S2- is bonded in a 6-coordinate geometry to six Fe2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pb3O5 by Materials Project

Pb3O5 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are twenty-four inequivalent Pb+3.33+ sites. In the first Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form distorted PbO6 octahedra that share corners with two equivalent PbO7 hexagonal pyramids, corners with four PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with three PbO6 octahedra. The corner-sharing octahedra tilt angles range from 42–51°. There are a spread of Pb–O bond distances ranging from 2.15–2.36 Å. In the second Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form distorted PbO6 octahedra that share corners with two equivalent PbO7 hexagonal pyramids, corners with four PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with three PbO6 octahedra. The corner-sharing octahedra tilt angles range from 43–50°. There are a spread of Pb–O bond distances ranging from 2.15–2.36 Å. In the third Pb+3.33+ site, Pb+3.33+ is bonded in a 8-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.52–2.78 Å. In the fourth Pb+3.33+ site, Pb+3.33+ is bonded to seven O2- atoms to form a mixture of distorted edge and corner-sharing PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 79–88°. There are a spread of Pb–O bond distances ranging from 2.34–2.81 Å. In the fifth Pb+3.33+ site, Pb+3.33+ is bonded in a 8-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.52–2.80 Å. In the sixth Pb+3.33+ site, Pb+3.33+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Pb–O bond distances ranging from 2.10–2.67 Å. In the seventh Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form distorted PbO6 octahedra that share corners with two equivalent PbO7 hexagonal pyramids, corners with four PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with three PbO6 octahedra. The corner-sharing octahedra tilt angles range from 43–50°. There are a spread of Pb–O bond distances ranging from 2.15–2.36 Å. In the eighth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share corners with six PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and an edgeedge with one PbO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Pb–O bond distances ranging from 2.17–2.23 Å. In the ninth Pb+3.33+ site, Pb+3.33+ is bonded to seven O2- atoms to form a mixture of distorted edge and corner-sharing PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 78–87°. There are a spread of Pb–O bond distances ranging from 2.35–2.80 Å. In the tenth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share corners with six PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and an edgeedge with one PbO6 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Pb–O bond distances ranging from 2.17–2.22 Å. In the eleventh Pb+3.33+ site, Pb+3.33+ is bonded to seven O2- atoms to form a mixture of distorted edge and corner-sharing PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 79–88°. There are a spread of Pb–O bond distances ranging from 2.34–2.82 Å. In the twelfth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share a cornercorner with one PbO7 hexagonal pyramid, corners with five PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with two equivalent PbO6 octahedra. The corner-sharing octahedra tilt angles range from 43–56°. There are a spread of Pb–O bond distances ranging from 2.16–2.41 Å. In the thirteenth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share corners with six PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and an edgeedge with one PbO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Pb–O bond distances ranging from 2.18–2.23 Å. In the fourteenth Pb+3.33+ site, Pb+3.33+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.51–2.82 Å. In the fifteenth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share a cornercorner with one PbO7 hexagonal pyramid, corners with five PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with two equivalent PbO6 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There are a spread of Pb–O bond distances ranging from 2.16–2.41 Å. In the sixteenth Pb+3.33+ site, Pb+3.33+ is bonded to seven O2- atoms to form a mixture of distorted edge and corner-sharing PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 78–87°. There are a spread of Pb–O bond distances ranging from 2.34–2.79 Å. In the seventeenth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share a cornercorner with one PbO7 hexagonal pyramid, corners with five PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with two equivalent PbO6 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There are a spread of Pb–O bond distances ranging from 2.16–2.41 Å. In the eighteenth Pb+3.33+ site, Pb+3.33+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pb–O bond distances ranging from 2.53–3.08 Å. In the nineteenth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form corner-sharing PbO6 octahedra. The corner-sharing octahedra tilt angles range from 47–56°. There are two shorter (2.18 Å) and four longer (2.23 Å) Pb–O bond lengths. In the twentieth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form corner-sharing PbO6 octahedra. The corner-sharing octahedra tilt angles range from 48–56°. There are two shorter (2.18 Å) and four longer (2.22 Å) Pb–O bond lengths. In the twenty-first Pb+3.33+ site, Pb+3.33+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Pb–O bond distances ranging from 2.10–2.66 Å. In the twenty-second Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form distorted PbO6 octahedra that share corners with two equivalent PbO7 hexagonal pyramids, corners with four PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with three PbO6 octahedra. The corner-sharing octahedra tilt angles range from 42–51°. There are a spread of Pb–O bond distances ranging from 2.15–2.36 Å. In the twenty-third Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share a cornercorner with one PbO7 hexagonal pyramid, corners with five PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with two equivalent PbO6 octahedra. The corner-sharing octahedra tilt angles range from 43–56°. There are a spread of Pb–O bond distances ranging from 2.16–2.41 Å. In the twenty-fourth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share corners with six PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and an edgeedge with one PbO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Pb–O bond distances ranging from 2.18–2.23 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the second O2- site, O2- is bonded in a 2-coordinate geometry to four Pb+3.33+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to three Pb+3.33+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to three Pb+3.33+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the seventh O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the eighth O2- site, O2- is bonded to four Pb+3.33+ atoms to form corner-sharing OPb4 tetrahedra. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the eleventh O2- site, O2- is bonded to four Pb+3.33+ atoms to form distorted corner-sharing OPb4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to three Pb+3.33+ atoms. In the sixteenth O2- site, O2- is bonded to four Pb+3.33+ atoms to form distorted corner-sharing OPb4 tetrahedra. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to three Pb+3.33+ atoms. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the twenty-second O2- site, O2- is bonded to four Pb+3.33+ atoms to form distorted corner-sharing OPb4 tetrahedra. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to three Pb+3.33+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the twenty-eighth O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to four Pb+3.33+ atoms. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to three Pb+3.33+ atoms. In the thirty-second O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the thirty-fifth O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the thirty-seventh O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the thirty-eighth O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the thirty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the fortieth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms.

36 MATERIALS SCIENCE↗