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Materials Data on Na2FePCO7 by Materials Project

Na2FeCPO7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.40–2.79 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.80 Å. In the third Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.89 Å. In the fourth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.83 Å. In the fifth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.82 Å. In the sixth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.81 Å. In the seventh Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.24–2.85 Å. In the eighth Na1+ site, Na1+ is bonded to seven O2- atoms to form distorted NaO7 pentagonal bipyramids that share a cornercorner with one FeO6 octahedra, corners with two equivalent NaO7 pentagonal bipyramids, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent NaO6 octahedra, an edgeedge with one PO4 tetrahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Na–O bond distances ranging from 2.30–2.80 Å. In the ninth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.83 Å. In the tenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.37–2.81 Å. In the eleventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.80 Å. In the twelfth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with four FeO6 octahedra, edges with two equivalent NaO7 pentagonal bipyramids, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 0–56°. There are a spread of Na–O bond distances ranging from 2.28–2.83 Å. There are six inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.13 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.13 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent NaO6 octahedra, a cornercorner with one NaO7 pentagonal bipyramid, and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 0–18°. There are a spread of Fe–O bond distances ranging from 1.96–2.17 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with four PO4 tetrahedra, an edgeedge with one NaO7 pentagonal bipyramid, and a faceface with one NaO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 56°. There are a spread of Fe–O bond distances ranging from 1.96–2.15 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.14 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one NaO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Fe–O bond distances ranging from 1.90–2.15 Å. There are six inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.30 Å) C–O bond length. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the fifth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the sixth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.25 Å) and two longer (1.33 Å) C–O bond length. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 37–41°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 34–43°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and a cornercorner with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 33–42°. 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 four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 34–43°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra, a cornercorner with one NaO7 pentagonal bipyramid, an edgeedge with one NaO6 octahedra, and an edgeedge with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 31–46°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 34–45°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Na1+ and one C4+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to three Na1+ and one C4+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent Na1+ and one C4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Fe3+, and one C4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Fe3+, and one C4+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Fe3+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Fe3+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the thirty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the thirty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one C4+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Fe3+, and one C4+ atom. In the thirty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the thirty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one C4+ atom. In the fortieth O2- site, O2- is bonded in a 4-coordinate geometry to three Na1+ and one C4+ atom. In the forty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Na1+ and one C4+ atom. In the forty-second O2- site, O2- is bonded in a 5-coordinate geometry to four Na1+ and one C4+ atom.

36 MATERIALS SCIENCE↗

Simulation-based characterization of the variability of earthquake risk to buildings in the near-field

Recent advancements in high performance computing platforms and computational workflow for regional-scale simulations are enabling unprecedented modeling of fault-to-structure earthquake processes. Regional simulations resolving ground motions at frequencies relevant to engineered systems are becoming computationally viable and provide a new capability to improve understanding of the geographical distribution and intensity of risk to buildings and critical infrastructure. As computational capabilities advance, it is essential to move beyond illustrative single rupture realizations for scenario earthquake events towards the development of a full suite of rupture realizations that appropriately characterize the range of risk to building systems. The work described in this article investigates the application of a suite of fault rupture realizations with the objective of assessing near-fault, site-specific seismic demand variability for building structures. A representative high-performance regional-scale computational model is utilized to execute ground motion and building response simulations based on 18 kinematic rupture realizations of an M7 strike-slip scenario earthquake. The fault rupture models for the scenario earthquake are created by systematically perturbing the hypocenter location and stochastically generating rupture parameters (slip, rise time, rake angle) to represent a breadth of ground motion intensities resulting from the spatial and temporal variabilities of an earthquake rupture process. The resulting seismic demand variability for three-story (short period) and forty-story (long period) steel moment-resisting frame buildings is characterized in terms of the median and distribution of peak inter-story drift ratio for a range of near-fault sites. The full suite of 18 fault rupture realizations and approximately 280,000 nonlinear dynamic building simulations indicate that the three-story building undergoes higher median seismic demand and significantly greater variability of demand at a given site than the forty-story building, which has important implications for the level of certainty in predicting building performance during an earthquake. The simulations performed provide deeper insight into the relationship between fault rupture parameterization and building response, which is essential information for developing a representative suite of rupture realizations for specific earthquake scenarios.

58 GEOSCIENCES↗

Identifying microbial functional guilds performing cryptic organotrophic and lithotrophic redox cycles in anaerobic granular biofilms

Granular biofilms used in anaerobic digester systems contain diverse microbial populations that interact to hydrolyze organic matter and produce methane within controlled environments. Prior research investigated the feasibility of utilizing granular biofilms obtained from an anaerobic digester to remove nitrate without the addition of exogenous electron donors. These granules possessed a unique structure of alternating light and dark iron sulfide and pyrite rich layers that potentially served as both an electron source and sink, linking carbon, nitrogen, sulfur, and iron cycles. To characterize the functional roles of diverse microbial populations enriched within these layered biofilms, we analyzed metagenomes obtained from three different granules. Comparisons between the functional gene content of forty metagenome assembled genomes (MAGs) identified phylogenetically cohesive functional guilds. Each of these functional MAG clusters was assigned to specific steps in anaerobic digestion (hydrolysis, acidogenesis, acetogenesis, and methanogenesis) and anaerobic respiration (denitrification and sulfate reduction). Comparisons with metagenomes derived from a variety of natural and engineered ecosystems confirmed that the enriched denitrifying bacteria were similar to populations typically found in wetlands and biological nitrogen removal systems. Analysis of read alignments to individual genes within the forty MAGs identified conserved genomic features that were representative of the functions that distinguished functional guilds. Overall, this research illustrates the utility of functional based classification of microorganisms for characterizing ecosystem functions and highlights the potential application of engineered ecosystems to serve as experimental models for complex natural ecosystems.

Ecosystem engineering↗

Materials Data on Sr3La21Zn2(Cu5O24)2 by Materials Project

Sr3La21Zn2(Cu5O24)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Sr sites. In the first Sr site, Sr is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Sr–O bond distances ranging from 2.44–3.03 Å. In the second Sr site, Sr is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Sr–O bond distances ranging from 2.48–3.01 Å. In the third Sr site, Sr is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Sr–O bond distances ranging from 2.46–2.96 Å. There are twenty-one inequivalent La sites. In the first La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.25–3.14 Å. In the second La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.46–3.24 Å. In the third La site, La is bonded in a 4-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.31–3.20 Å. In the fourth La site, La is bonded in a 2-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.34–2.76 Å. In the fifth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.27–3.27 Å. In the sixth La site, La is bonded in a 9-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.37–2.79 Å. In the seventh La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.26–3.27 Å. In the eighth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.76 Å. In the ninth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.28–3.18 Å. In the tenth La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.32–3.20 Å. In the eleventh La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.34–3.20 Å. In the twelfth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.80 Å. In the thirteenth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.25–3.12 Å. In the fourteenth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.27–3.16 Å. In the fifteenth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.32–3.21 Å. In the sixteenth La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.36–3.22 Å. In the seventeenth La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.33–3.10 Å. In the eighteenth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.36–3.22 Å. In the nineteenth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.31–3.20 Å. In the twentieth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.30–3.26 Å. In the twenty-first La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.34–3.19 Å. There are ten inequivalent Cu sites. In the first Cu site, Cu is bonded to six O atoms to form distorted CuO6 octahedra that share corners with four equivalent ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Cu–O bond distances ranging from 1.89–2.51 Å. In the second Cu site, Cu is bonded to six O atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Cu–O bond distances ranging from 1.93–2.47 Å. In the third Cu site, Cu is bonded to six O atoms to form distorted CuO6 octahedra that share corners with four equivalent ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 3–18°. There are a spread of Cu–O bond distances ranging from 1.90–2.56 Å. In the fourth Cu site, Cu is bonded to six O atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Cu–O bond distances ranging from 1.93–2.51 Å. In the fifth Cu site, Cu is bonded to six O atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Cu–O bond distances ranging from 1.95–2.46 Å. In the sixth Cu site, Cu is bonded to six O atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Cu–O bond distances ranging from 1.94–2.53 Å. In the seventh Cu site, Cu is bonded to six O atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Cu–O bond distances ranging from 1.95–2.44 Å. In the eighth Cu site, Cu is bonded to six O atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Cu–O bond distances ranging from 1.92–2.44 Å. In the ninth Cu site, Cu is bonded to six O atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Cu–O bond distances ranging from 1.93–2.53 Å. In the tenth Cu site, Cu is bonded to six O atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Cu–O bond distances ranging from 1.91–2.48 Å. There are two inequivalent Zn sites. In the first Zn site, Zn is bonded to six O atoms to form ZnO6 octahedra that share corners with four equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Zn–O bond distances ranging from 1.98–2.44 Å. In the second Zn site, Zn is bonded to six O atoms to form distorted ZnO6 octahedra that share corners with four equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 3–18°. There are a spread of Zn–O bond distances ranging from 1.98–2.52 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a 6-coordinate geometry to one Sr, three La, and two Cu atoms. In the second O site, O is bonded in a 6-coordinate geometry to five La and one Zn atom. In the third O site, O is bonded in a 2-coordinate geometry to five La and one Cu atom. In the fourth O site, O is bonded in a 6-coordinate geometry to four La, one Cu, and one Zn atom. In the fifth O site, O is bonded to four La, one Cu, and one Zn atom to form distorted face-sharing OLa4ZnCu octahedra. In the sixth O site, O is bonded in a 6-coordinate geometry to one Sr, three La, and two Cu atoms. In the seventh O site, O is bonded in a 2-coordinate geometry to five La and one Zn atom. In the eighth O site, O is bonded in a 2-coordinate geometry to four La and one Cu atom. In the ninth O site, O is bonded in a 5-coordinate geometry to five La and one Cu atom. In the tenth O site, O is bonded in a 2-coordinate geometry to four La and one Cu atom. In the eleventh O site, O is bonded to four La, one Cu, and one Zn atom to form distorted face-sharing OLa4ZnCu octahedra. In the twelfth O site, O is bonded in a 6-coordinate geometry to four La, one Cu, and one Zn atom. In the thirteenth O site, O is bonded in a 6-coordinate geometry to four La, one Cu, and one Zn atom. In the fourteenth O site, O is bonded to four La, one Cu, and one Zn atom to form distorted face-sharing OLa4ZnCu octahedra. In the fifteenth O site, O is bonded in a 6-coordinate geometry to two equivalent Sr, three La, and one Cu atom. In the sixteenth O site, O is bonded in a 5-coordinate geometry to one Sr, four La, and one Cu atom. In the seventeenth O site, O is bonded in a 2-coordinate geometry to four La and one Cu atom. In the eighteenth O site, O is bonded in a 5-coordinate geometry to five La and one Zn atom. In the nineteenth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the twentieth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the twenty-first O site, O is bonded to four La, one Cu, and one Zn atom to form distorted face-sharing OLa4ZnCu octahedra. In the twenty-second O site, O is bonded in a 6-coordinate geometry to four La, one Cu, and one Zn atom. In the twenty-third O site, O is bonded in a 5-coordinate geometry to five La and one Cu atom. In the twenty-fourth O site, O is bonded in a 6-coordinate geometry to five La and one Cu atom. In the twenty-fifth O site, O is bonded in a 5-coordinate geometry to two equivalent Sr, two La, and one Cu atom. In the twenty-sixth O site, O is bonded in a 6-coordinate geometry to five La and one Zn atom. In the twenty-seventh O site, O is bonded to four La and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the twenty-eighth O site, O is bonded to four La and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the twenty-ninth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the thirtieth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the thirty-first O site, O is bonded in a 6-coordinate geometry to two equivalent Sr, three La, and one Cu atom. In the thirty-second O site, O is bonded in a 6-coordinate geometry to one Sr, four La, and one Cu atom. In the thirty-third O site, O is bonded in a 5-coordinate geometry to five La and one Cu atom. In the thirty-fourth O site, O is bonded in a 5-coordinate geometry to five La and one Cu atom. In the thirty-fifth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the thirty-sixth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the thirty-seventh O site, O is bonded to four La and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the thirty-eighth O site, O is bonded to four La and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the thirty-ninth O site, O is bonded in a 6-coordinate geometry to two equivalent Sr, three La, and one Cu atom. In the fortieth O site, O is bonded in a 6-coordinate geometry to one Sr, four La, and one Cu atom. In the forty-first O site, O is bonded in a 5-coordinate geometry to two equivalent Sr, three

36 MATERIALS SCIENCE↗

Materials Data on KBiO3 by Materials Project

KBiO3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 3-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.64–3.14 Å. In the second K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.67–3.16 Å. In the third K1+ site, K1+ is bonded in a 1-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.53–3.23 Å. In the fourth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.62–3.29 Å. In the fifth K1+ site, K1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.67–2.84 Å. In the sixth K1+ site, K1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.68–2.86 Å. In the seventh K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.56–3.28 Å. In the eighth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.68–3.05 Å. In the ninth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.70–3.14 Å. In the tenth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.65–3.11 Å. In the eleventh K1+ site, K1+ is bonded in a 6-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.59–3.06 Å. In the twelfth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.65–3.12 Å. In the thirteenth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.69–3.06 Å. In the fourteenth K1+ site, K1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of K–O bond distances ranging from 2.57–2.83 Å. In the fifteenth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.58–3.13 Å. In the sixteenth K1+ site, K1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.69–2.86 Å. In the seventeenth K1+ site, K1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.70–2.87 Å. In the eighteenth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.63–3.18 Å. There are eighteen inequivalent Bi5+ sites. In the first Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Bi–O bond distances ranging from 2.12–2.21 Å. In the second Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Bi–O bond distances ranging from 2.14–2.19 Å. In the third Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Bi–O bond distances ranging from 2.12–2.21 Å. In the fourth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Bi–O bond distances ranging from 2.11–2.20 Å. In the fifth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Bi–O bond distances ranging from 2.11–2.24 Å. In the sixth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Bi–O bond distances ranging from 2.13–2.19 Å. In the seventh Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Bi–O bond distances ranging from 2.12–2.20 Å. In the eighth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Bi–O bond distances ranging from 2.13–2.20 Å. In the ninth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Bi–O bond distances ranging from 2.10–2.20 Å. In the tenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Bi–O bond distances ranging from 2.14–2.20 Å. In the eleventh Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Bi–O bond distances ranging from 2.13–2.19 Å. In the twelfth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Bi–O bond distances ranging from 2.13–2.18 Å. In the thirteenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Bi–O bond distances ranging from 2.12–2.22 Å. In the fourteenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Bi–O bond distances ranging from 2.14–2.17 Å. In the fifteenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Bi–O bond distances ranging from 2.13–2.18 Å. In the sixteenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Bi–O bond distances ranging from 2.12–2.20 Å. In the seventeenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Bi–O bond distances ranging from 2.13–2.20 Å. In the eighteenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Bi–O bond distances ranging from 2.13–2.19 Å. There are fifty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the third O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 tetrahedra. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the fifth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form distorted corner-sharing OK2Bi2 tetrahedra. In the sixth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 tetrahedra. In the seventh O2- site, O2- is bonded in a trigonal non-coplanar geometry to one K1+ and two Bi5+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two Bi5+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one K1+ and two Bi5+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the eleventh O2- site, O2- is bonded in a distorted water-like geometry to two K1+ and two Bi5+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to three K1+ and two Bi5+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the fifteenth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to three K1+ and two Bi5+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the twentieth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-second O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 tetrahedra. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three K1+ and two Bi5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-ninth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form distorted corner-sharing OK2Bi2 tetrahedra. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to three K1+ and two Bi5+ atoms. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one K1+ and two Bi5+ atoms. In the thirty-third O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form distorted corner-sharing OK2Bi2 tetrahedra. In the thirty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three K1+ and two Bi5+ atoms. In the thirty-fifth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 tetrahedra. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to three K1+ and two Bi5+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the thirty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two Bi5+ atoms. In the fortieth O2- site, O2- is bonded in a distorted water-like geometry to two K1+ and two Bi5+ atoms. In the forty-first O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the forty-second O2- site, O2-

36 MATERIALS SCIENCE↗

Materials Data on Sr22Nb10O47 by Materials Project

Sr22Nb10O47 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-two inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.51–2.72 Å. In the second Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.53–2.88 Å. In the third Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 octahedra that share corners with three equivalent NbO6 octahedra, a cornercorner with one SrO6 pentagonal pyramid, corners with three equivalent NbO5 trigonal bipyramids, and an edgeedge with one SrO7 hexagonal pyramid. The corner-sharing octahedra tilt angles range from 21–27°. There are a spread of Sr–O bond distances ranging from 2.41–2.76 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.57–2.82 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.44–3.21 Å. In the sixth Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 octahedra that share corners with three equivalent NbO6 octahedra and corners with three equivalent NbO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 20–30°. There are a spread of Sr–O bond distances ranging from 2.39–2.77 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.41–3.02 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.58–3.13 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.43–2.84 Å. In the tenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–3.04 Å. In the eleventh Sr2+ site, Sr2+ is bonded to six O2- atoms to form SrO6 octahedra that share corners with three equivalent NbO6 octahedra. The corner-sharing octahedra tilt angles range from 29–32°. There are a spread of Sr–O bond distances ranging from 2.38–2.51 Å. In the twelfth Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–2.83 Å. In the thirteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.44–3.17 Å. In the fourteenth Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 octahedra that share corners with three equivalent NbO6 octahedra and corners with three equivalent NbO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 21–31°. There are a spread of Sr–O bond distances ranging from 2.40–2.70 Å. In the fifteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.60–3.24 Å. In the sixteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.43–3.02 Å. In the seventeenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.44–2.73 Å. In the eighteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–3.08 Å. In the nineteenth Sr2+ site, Sr2+ is bonded to six O2- atoms to form SrO6 octahedra that share corners with three equivalent NbO6 octahedra. The corner-sharing octahedra tilt angles range from 28–33°. There are a spread of Sr–O bond distances ranging from 2.38–2.55 Å. In the twentieth Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.80 Å. In the twenty-first Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 pentagonal pyramids that share a cornercorner with one SrO7 hexagonal pyramid, a cornercorner with one SrO6 octahedra, corners with three equivalent NbO6 octahedra, corners with three equivalent NbO5 trigonal bipyramids, an edgeedge with one SrO7 hexagonal pyramid, and a faceface with one SrO7 hexagonal pyramid. The corner-sharing octahedra tilt angles range from 22–30°. There are a spread of Sr–O bond distances ranging from 2.42–2.74 Å. In the twenty-second Sr2+ site, Sr2+ is bonded to seven O2- atoms to form distorted SrO7 hexagonal pyramids that share a cornercorner with one SrO6 pentagonal pyramid, an edgeedge with one SrO6 octahedra, an edgeedge with one SrO6 pentagonal pyramid, edges with two equivalent NbO5 trigonal bipyramids, a faceface with one NbO6 octahedra, and a faceface with one SrO6 pentagonal pyramid. There are a spread of Sr–O bond distances ranging from 2.46–2.86 Å. There are ten inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to five O2- atoms to form NbO5 trigonal bipyramids that share corners with three equivalent SrO6 octahedra, corners with three equivalent SrO6 pentagonal pyramids, and edges with two equivalent SrO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 35–71°. There are a spread of Nb–O bond distances ranging from 1.88–2.02 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six SrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–30°. There are a spread of Nb–O bond distances ranging from 1.98–2.11 Å. In the third Nb5+ site, Nb5+ is bonded to five O2- atoms to form NbO5 trigonal bipyramids that share corners with three equivalent SrO6 octahedra and a cornercorner with one NbO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of Nb–O bond distances ranging from 1.89–2.11 Å. In the fourth Nb5+ site, Nb5+ is bonded to five O2- atoms to form distorted corner-sharing NbO5 trigonal bipyramids. There are a spread of Nb–O bond distances ranging from 1.83–2.58 Å. In the fifth Nb5+ site, Nb5+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Nb–O bond distances ranging from 1.89–2.35 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six SrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–32°. There are a spread of Nb–O bond distances ranging from 1.99–2.09 Å. In the seventh Nb5+ site, Nb5+ is bonded to five O2- atoms to form NbO5 trigonal bipyramids that share corners with three equivalent SrO6 octahedra and a cornercorner with one NbO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of Nb–O bond distances ranging from 1.89–2.10 Å. In the eighth Nb5+ site, Nb5+ is bonded to five O2- atoms to form distorted corner-sharing NbO5 trigonal bipyramids. There are a spread of Nb–O bond distances ranging from 1.83–2.48 Å. In the ninth Nb5+ site, Nb5+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Nb–O bond distances ranging from 1.89–2.29 Å. In the tenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three equivalent SrO6 octahedra, corners with three equivalent SrO6 pentagonal pyramids, and a faceface with one SrO7 hexagonal pyramid. The corner-sharing octahedra tilt angles range from 28–33°. There are a spread of Nb–O bond distances ranging from 2.00–2.08 Å. There are forty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal bipyramidal geometry to four Sr2+ and one Nb5+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Nb5+ atom. In the third O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Nb5+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to three Sr2+ and one Nb5+ atom. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Sr2+ and one Nb5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Sr2+ and two Nb5+ atoms. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to three Sr2+ and one Nb5+ atom. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Sr2+ and one Nb5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Sr2+ and one Nb5+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+ and two Nb5+ atoms. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to two Sr2+ and one Nb5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and two Nb5+ atoms. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to four Sr2+ and one Nb5+ atom. In the twentieth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Nb5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Nb5+ atom. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Nb5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Nb5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Sr2+ and two Nb5+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Nb5+ atom. In the thirtieth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Sr2+ and one Nb5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Sr2+ and one Nb5+ atom. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+ and two Nb5+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and two Nb5+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Sr2+ and one Nb5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to four Sr2+ and one Nb5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to four Sr2+ and one Nb5+ atom. In the thirty-ninth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the fortieth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the forty-first O2- site, O2- is bonded in

36 MATERIALS SCIENCE↗

Materials Data on Na8Ga42O67 by Materials Project

Na8Ga42O67 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Na sites. In the first Na site, Na is bonded to four O atoms to form NaO4 tetrahedra that share corners with twelve GaO6 octahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Na–O bond distances ranging from 2.12–2.24 Å. In the second Na site, Na is bonded in a 2-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.43–2.89 Å. In the third Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.32–2.87 Å. In the fourth Na site, Na is bonded to four O atoms to form NaO4 tetrahedra that share corners with twelve GaO6 octahedra. The corner-sharing octahedra tilt angles range from 55–69°. There are a spread of Na–O bond distances ranging from 2.18–2.23 Å. In the fifth Na site, Na is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.05–2.51 Å. In the sixth Na site, Na is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.23–2.89 Å. In the seventh Na site, Na is bonded in a 6-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.51–2.97 Å. In the eighth Na site, Na is bonded in a 3-coordinate geometry to three O atoms. There are a spread of Na–O bond distances ranging from 2.15–2.19 Å. There are forty-two inequivalent Ga sites. In the first Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with two NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with six GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.86–2.34 Å. In the second Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one GaO4 tetrahedra, corners with two equivalent NaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.95–2.12 Å. In the third Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.92–2.21 Å. In the fourth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.21 Å. In the fifth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–66°. There are a spread of Ga–O bond distances ranging from 1.87–1.98 Å. In the sixth Ga site, Ga is bonded in a trigonal planar geometry to three O atoms. There are a spread of Ga–O bond distances ranging from 1.79–1.84 Å. In the seventh Ga site, Ga is bonded in a trigonal planar geometry to three O atoms. There are a spread of Ga–O bond distances ranging from 1.79–1.85 Å. In the eighth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.95–2.05 Å. In the ninth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.94–2.12 Å. In the tenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.92–2.14 Å. In the eleventh Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with two equivalent NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with six GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.94–2.12 Å. In the twelfth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There is three shorter (1.91 Å) and one longer (1.93 Å) Ga–O bond length. In the thirteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.89–2.12 Å. In the fourteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.88–2.22 Å. In the fifteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with two equivalent GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.13 Å. In the sixteenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–63°. There are a spread of Ga–O bond distances ranging from 1.82–1.90 Å. In the seventeenth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Ga–O bond distances ranging from 1.82–1.88 Å. In the eighteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.90–2.14 Å. In the nineteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.24 Å. In the twentieth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.90–2.23 Å. In the twenty-first Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with six GaO4 tetrahedra and edges with six GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.11 Å. In the twenty-second Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Ga–O bond distances ranging from 1.89–1.92 Å. In the twenty-third Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–62°. There are a spread of Ga–O bond distances ranging from 1.81–1.95 Å. In the twenty-fourth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.17 Å. In the twenty-fifth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.92–2.13 Å. In the twenty-sixth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.09 Å. In the twenty-seventh Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–61°. There are a spread of Ga–O bond distances ranging from 1.83–1.94 Å. In the twenty-eighth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Ga–O bond distances ranging from 1.81–1.91 Å. In the twenty-ninth Ga site, Ga is bonded to six O atoms to form distorted GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.89–2.42 Å. In the thirtieth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.92–2.26 Å. In the thirty-first Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.93–2.31 Å. In the thirty-second Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–61°. There are a spread of Ga–O bond distances ranging from 1.89–2.01 Å. In the thirty-third Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.92–2.23 Å. In the thirty-fourth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.90–2.21 Å. In the thirty-fifth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.24 Å. In the thirty-sixth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Ga–O bond distances ranging from 1.81–1.90 Å. In the thirty-seventh Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–60°. There are a spread of Ga–O bond distances ranging from 1.78–1.96 Å. In the thirty-eighth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–62°. There is two shorter (1.90 Å) and two longer (1.91 Å) Ga–O bond length. In the thirty-ninth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with two equivalent NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with six GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.11 Å. In the fortieth Ga site, Ga is bonded to six O atoms to form distorted GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.89–2.33 Å. In the forty-first Ga site, Ga is bonded to six O atoms to form distorted GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from

36 MATERIALS SCIENCE↗

Materials Data on Hf3Sc4O12 by Materials Project

Hf3Sc4O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.10–2.55 Å. In the second Sc3+ site, Sc3+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.14 Å. In the third Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.57 Å. In the fourth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.55 Å. In the fifth Sc3+ site, Sc3+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.14 Å. In the sixth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.60 Å. In the seventh Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.06–2.59 Å. In the eighth Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.21 Å. In the ninth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.59 Å. In the tenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.05–2.59 Å. In the eleventh Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.22 Å. In the twelfth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.55 Å. In the thirteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.65 Å. In the fourteenth Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share a cornercorner with one HfO7 pentagonal bipyramid and an edgeedge with one HfO7 pentagonal bipyramid. There are a spread of Sc–O bond distances ranging from 2.09–2.12 Å. In the fifteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.59 Å. In the sixteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.63 Å. In the seventeenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.11–2.64 Å. In the eighteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.58 Å. In the nineteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.10–2.67 Å. In the twentieth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.55 Å. There are fifteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Hf–O bond distances ranging from 2.03–2.12 Å. In the second Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.40 Å. In the third Hf4+ site, Hf4+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Hf–O bond distances ranging from 2.03–2.13 Å. In the fourth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.04–2.41 Å. In the fifth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.05–2.47 Å. In the sixth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.39 Å. In the seventh Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.51 Å. In the eighth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.04–2.42 Å. In the ninth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.07–2.46 Å. In the tenth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.04–2.53 Å. In the eleventh Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.48 Å. In the twelfth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.05–2.54 Å. In the thirteenth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.47 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to seven O2- atoms to form distorted HfO7 pentagonal bipyramids that share a cornercorner with one ScO6 octahedra and an edgeedge with one ScO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Hf–O bond distances ranging from 2.06–2.33 Å. In the fifteenth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.50 Å. There are sixty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the second O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with eight OHfSc3 tetrahedra and edges with three OHf3Sc tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to three Sc3+ and one Hf4+ atom. In the fourth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with nine OHfSc3 tetrahedra and edges with three OHf3Sc tetrahedra. In the fifth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with eight OHfSc3 tetrahedra and edges with three OHf2Sc2 tetrahedra. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the eighth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with nine OHfSc3 tetrahedra and edges with three OHf3Sc tetrahedra. In the ninth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with nine OHf3Sc tetrahedra and edges with four OHfSc3 tetrahedra. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Sc3+ and two Hf4+ atoms. In the twelfth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 tetrahedra. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the fourteenth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form a mixture of distorted corner and edge-sharing OHfSc3 tetrahedra. In the fifteenth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with nine OHf2Sc2 tetrahedra and edges with four OHfSc3 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the seventeenth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form distorted OHf2Sc2 tetrahedra that share corners with nine OHf3Sc tetrahedra and edges with three OHfSc3 tetrahedra. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Sc3+ and two Hf4+ atoms. In the nineteenth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 tetrahedra. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the twenty-first O2- site, O2- is bonded to one Sc3+ and three Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf3Sc tetrahedra. In the twenty-second O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form a mixture of distorted corner and edge-sharing OHfSc3 tetrahedra. In the twenty-third O2- site, O2- is bonded to four Sc3+ atoms to form a mixture of corner and edge-sharing OSc4 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form distorted OHf2Sc2 tetrahedra that share corners with eight OHf3Sc tetrahedra and edges with three OHfSc3 tetrahedra. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the twenty-sixth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form distorted OHf2Sc2 tetrahedra that share corners with nine OHf3Sc tetrahedra and edges with three OHfSc3 tetrahedra. In the twenty-seventh O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with six OSc4 tetrahedra and edges with three OHf2Sc2 tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the twenty-ninth O2- site, O2- is bonded to one Sc3+ and three Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf3Sc tetrahedra. In the thirtieth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 tetrahedra. In the thirty-first O2- site, O2- is bonded to one Sc3+ and three Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf3Sc tetrahedra. In the thirty-second O2- site, O2- is bonded to four Sc3+ atoms to form OSc4 tetrahedra that share corners with six OHf2Sc2 tetrahedra and edges with three OHfSc3 tetrahedra. In the thirty-third O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form distorted OHf2Sc2 tetrahedra that share corners with eight OHf2Sc2 tetrahedra and edges with three OHfSc3 tetrahedra. In the thirty-fourth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 tetrahedra. In the thirty-fifth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with six OHf2Sc2 tetrahedra and edges with three OSc4 tetrahedra. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the thirty-eighth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 tetrahedra. In the thirty-ninth O2- site, O2- is bonded to one Sc3+ and three Hf4+ atoms to form distorted OHf3Sc tetrahedra that share corners with eight OHf2Sc2 tetrahedra and edges with four OHfSc3 tetrahedra. In the fortieth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form a mixture of corner and edge-sharing OHfSc3 tetrahedra. In the forty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the forty-second O2- site, O2- is bonded to two Sc3

36 MATERIALS SCIENCE↗

Materials Data on AlPO4 by Materials Project

AlPO4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.78 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.81 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.68–1.86 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.69–1.91 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.68–1.89 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.78 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form distorted corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.68–1.94 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three AlO4 tetrahedra and an edgeedge with one PO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.68–1.93 Å. In the ninth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.82 Å. In the tenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.77 Å. In the eleventh Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.76 Å. In the twelfth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.76 Å. In the thirteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.67–1.89 Å. In the fourteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.67–1.87 Å. In the fifteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.89 Å. In the sixteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.70–1.94 Å. In the seventeenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.87 Å. In the eighteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.83 Å. There are eighteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There is one shorter (1.45 Å) and three longer (1.60 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.45–1.65 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with two AlO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the fourth P5+ site, P5+ is bonded in a 2-coordinate geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.55–2.36 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one AlO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.48–1.68 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.47–1.63 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.57 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with two AlO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the ninth P5+ site, P5+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.55–1.79 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.47–1.64 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.64 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.73 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the seventeenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with two AlO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.47–1.76 Å. In the eighteenth P5+ site, P5+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.52–1.88 Å. There are seventy-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the fifth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the seventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the ninth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the tenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the eleventh O2- site, O2- is bonded in a water-like geometry to one Al3+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted L-shaped geometry to one Al3+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to two P5+ atoms. In the fourteenth O2- site, O2- is bonded in a linear geometry to one Al3+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to two P5+ atoms. In the seventeenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the nineteenth O2- site, O2- is bonded in a linear geometry to one Al3+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a linear geometry to one Al3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a linear geometry to two P5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Al3+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ 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 bent 120 degrees geometry to two P5+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the thirty-second O2- site, O2- is bonded in a linear geometry to two P5+ atoms. In the thirty-third O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the thirty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a bent 120 degrees geometry to two Al3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on NaNiP2HO7 by Materials Project

NaNiP2HO7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.78 Å. In the second Na1+ site, Na1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.78 Å. In the third Na1+ site, Na1+ is bonded in a 7-coordinate geometry to one H1+ and six O2- atoms. The Na–H bond length is 2.52 Å. There are a spread of Na–O bond distances ranging from 2.34–2.58 Å. In the fourth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to one H1+ and six O2- atoms. The Na–H bond length is 2.53 Å. There are a spread of Na–O bond distances ranging from 2.35–2.59 Å. In the fifth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to one H1+ and six O2- atoms. The Na–H bond length is 2.53 Å. There are a spread of Na–O bond distances ranging from 2.35–2.58 Å. In the sixth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to one H1+ and six O2- atoms. The Na–H bond length is 2.52 Å. There are a spread of Na–O bond distances ranging from 2.35–2.57 Å. There are six inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.20 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.19 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.02–2.17 Å. In the fourth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.03–2.17 Å. In the fifth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.02–2.18 Å. In the sixth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.02–2.18 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 and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–60°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–60°. 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 three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–60°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–50°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–50°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–50°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–59°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–59°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–60°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. There are six inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a linear geometry to one Na1+ and two O2- atoms. There is one shorter (1.16 Å) and one longer (1.25 Å) H–O bond length. In the second H1+ site, H1+ is bonded in a linear geometry to one Na1+ and two O2- atoms. There is one shorter (1.16 Å) and one longer (1.25 Å) H–O bond length. In the third H1+ site, H1+ is bonded in a linear geometry to one Na1+ and two O2- atoms. There is one shorter (1.18 Å) and one longer (1.23 Å) H–O bond length. In the fourth H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.19 Å) and one longer (1.21 Å) H–O bond length. In the fifth H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.19 Å) and one longer (1.21 Å) H–O bond length. In the sixth H1+ site, H1+ is bonded in a linear geometry to one Na1+ and two O2- atoms. There is one shorter (1.17 Å) and one longer (1.23 Å) H–O bond length. There are forty-one inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one P5+, and one H1+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Ni2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one P5+, and one H1+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Ni2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Ni2+, one P5+, and one H1+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Ni2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one P5+, and one H1+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one Ni2+, one P5+, and one H1+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to two Ni2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni2+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ni2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Ni2+, one P5+, and one H1+ atom. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to two Ni2+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ni2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Ni2+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Ni2+, one P5+, and one H1+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Ni2+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Ni2+, one P5+, and one H1+ atom. In the thirty-third O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one P5+, and one H1+ atom. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Ni2+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Ni2+, one P5+, and one H1+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one P5+, and one H1+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the fortieth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the forty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one P5+, and one H1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ca12Mn8Si7(H5O16)3 by Materials Project

Ca12Mn8Si7(H5O16)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Ca sites. In the first Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.28–2.95 Å. In the second Ca site, Ca is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Ca–O bond distances ranging from 2.19–2.65 Å. In the third Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.25–2.93 Å. In the fourth Ca site, Ca is bonded in a 8-coordinate geometry to two H and six O atoms. There are one shorter (2.45 Å) and one longer (2.74 Å) Ca–H bond lengths. There are a spread of Ca–O bond distances ranging from 2.31–2.80 Å. In the fifth Ca site, Ca is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Ca–O bond distances ranging from 2.24–2.51 Å. In the sixth Ca site, Ca is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Ca–O bond distances ranging from 2.25–2.43 Å. In the seventh Ca site, Ca is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Ca–O bond distances ranging from 2.23–2.48 Å. In the eighth Ca site, Ca is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Ca–O bond distances ranging from 2.23–2.47 Å. In the ninth Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.20–2.53 Å. In the tenth Ca site, Ca is bonded in a 6-coordinate geometry to five O atoms. There are a spread of Ca–O bond distances ranging from 2.27–2.46 Å. In the eleventh Ca site, Ca is bonded in a 4-coordinate geometry to five O atoms. There are a spread of Ca–O bond distances ranging from 2.22–2.75 Å. In the twelfth Ca site, Ca is bonded to six O atoms to form distorted CaO6 pentagonal pyramids that share corners with two SiO4 tetrahedra, a cornercorner with one MnO4 trigonal pyramid, an edgeedge with one SiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Ca–O bond distances ranging from 2.30–2.48 Å. There are eight inequivalent Mn sites. In the first Mn site, Mn is bonded to four O atoms to form MnO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.67–1.80 Å. In the second Mn site, Mn is bonded to five O atoms to form MnO5 trigonal bipyramids that share corners with four SiO4 tetrahedra and an edgeedge with one CaO6 pentagonal pyramid. There are a spread of Mn–O bond distances ranging from 1.93–2.11 Å. In the third Mn site, Mn is bonded to five O atoms to form distorted MnO5 square pyramids that share corners with three SiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.77–2.03 Å. In the fourth Mn site, Mn is bonded to five O atoms to form distorted MnO5 square pyramids that share corners with two SiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.79–1.96 Å. In the fifth Mn site, Mn is bonded to five O atoms to form distorted MnO5 square pyramids that share corners with three SiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.51 Å. In the sixth Mn site, Mn is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Mn–O bond distances ranging from 1.83–1.99 Å. In the seventh Mn site, Mn is bonded to four O atoms to form distorted MnO4 trigonal pyramids that share a cornercorner with one CaO6 pentagonal pyramid and a cornercorner with one SiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.70–2.12 Å. In the eighth Mn site, Mn is bonded in a distorted see-saw-like geometry to four O atoms. There are a spread of Mn–O bond distances ranging from 1.83–2.09 Å. There are seven inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CaO6 pentagonal pyramid, a cornercorner with one MnO5 square pyramid, and a cornercorner with one MnO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.63–1.70 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MnO5 square pyramids. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one MnO5 square pyramid and a cornercorner with one MnO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.61–1.72 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MnO5 square pyramids. There are a spread of Si–O bond distances ranging from 1.64–1.68 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one MnO5 square pyramid, a cornercorner with one MnO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one CaO6 pentagonal pyramid. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one MnO5 square pyramid, a cornercorner with one MnO5 trigonal bipyramid, and a cornercorner with one MnO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.63–1.76 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CaO6 pentagonal pyramid. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. There are fifteen 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 1.00 Å. In the second H site, H is bonded in a single-bond geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.73 Å) H–O bond length. In the third H site, H is bonded in a single-bond geometry to one Ca and 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 Ca and one O atom. The H–O bond length is 0.98 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 distorted linear geometry to two O atoms. There is one shorter (1.01 Å) and one longer (1.59 Å) H–O bond length. In the seventh H site, H is bonded in a linear geometry to two O atoms. There is one shorter (1.03 Å) and one longer (1.56 Å) H–O bond length. In the eighth H site, H is bonded in a 1-coordinate geometry to two O atoms. There is one shorter (1.02 Å) and one longer (1.61 Å) H–O bond length. In the ninth H site, H is bonded in a distorted linear geometry to two O atoms. There is one shorter (1.01 Å) and one longer (1.60 Å) H–O bond length. In the tenth H site, H is bonded in a single-bond geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.74 Å) H–O bond length. In the eleventh H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.00 Å. In the twelfth 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 thirteenth H site, H is bonded in a linear geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.56 Å) H–O bond length. In the fourteenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.00 Å. In the fifteenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a 2-coordinate geometry to two Ca, one Mn, and one Si atom. In the second O site, O is bonded in a water-like geometry to one Mn and one H atom. In the third O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Mn, and one H atom. In the fourth O site, O is bonded in a distorted single-bond geometry to two Ca, one Mn, and one H atom. In the fifth O site, O is bonded in a 3-coordinate geometry to two Ca and one Si atom. In the sixth O site, O is bonded in a 1-coordinate geometry to two Ca and one Si atom. In the seventh O site, O is bonded in a 2-coordinate geometry to two Ca, one Si, and one H atom. In the eighth O site, O is bonded in a 1-coordinate geometry to two Ca, one Si, and one H atom. In the ninth O site, O is bonded in a 3-coordinate geometry to two Ca and one Mn atom. In the tenth O site, O is bonded in a 1-coordinate geometry to one Ca, one Mn, and one H atom. In the eleventh O site, O is bonded in a distorted trigonal non-coplanar geometry to one Ca, one Mn, and one H atom. In the twelfth O site, O is bonded in a 1-coordinate geometry to one Ca, one Mn, and one H atom. In the thirteenth O site, O is bonded in a water-like geometry to one Ca and one Mn atom. In the fourteenth O site, O is bonded to two Ca, one Mn, and one Si atom to form distorted edge-sharing OCa2MnSi trigonal pyramids. In the fifteenth O site, O is bonded in a distorted T-shaped geometry to one Ca, one Si, and one H atom. In the sixteenth O site, O is bonded in a 4-coordinate geometry to two Ca, one Mn, and one Si atom. In the seventeenth O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Mn, and one Si atom. In the eighteenth O site, O is bonded in a trigonal planar geometry to two Ca and one Mn atom. In the nineteenth O site, O is bonded in a 3-coordinate geometry to one Ca, one Mn, and one H atom. In the twentieth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca, one Mn, and one Si atom. In the twenty-first O site, O is bonded in a distorted trigonal non-coplanar geometry to one Ca, one Mn, and one H atom. In the twenty-second O site, O is bonded in a 1-coordinate geometry to one Mn, one Si, and one H atom. In the twenty-third O site, O is bonded in a 4-coordinate geometry to two Ca, one Mn, and one Si atom. In the twenty-fourth O site, O is bonded in a distorted trigonal non-coplanar geometry to two Ca and one Mn atom. In the twenty-fifth O site, O is bonded in a distorted trigonal planar geometry to two Ca and one Si atom. In the twenty-sixth O site, O is bonded in a bent 120 degrees geometry to one Mn and one Si atom. In the twenty-seventh O site, O is bonded in a 1-coordinate geometry to one Ca, one Mn, and one H atom. In the twenty-eighth O site, O is bonded in a distorted bent 150 degrees geometry to one Mn and one Si atom. In the twenty-ninth O site, O is bonded in a distorted single-bond geometry to one Ca, one Mn, and one H atom. In the thirtieth O site, O is bonded in a distorted single-bond geometry to one Ca, one Mn, and one H atom. In the thirty-first O site, O is bonded in a distorted trigonal non-coplanar geometry to one Ca, one Mn, and one Si atom. In the thirty-second O site, O is bonded in a distorted bent 120 degrees geometry to one Mn and one Si atom. In the thirty-third O site, O is bonded in a 3-coordinate geometry to two Ca and one Si atom. In the thirty-fourth O site, O is bonded in a trigonal planar geometry to two Ca and one Mn atom. In the thirty-fifth O site, O is bonded to two Ca, one Si, and one H atom to form distorted corner-sharing OCa2SiH trigonal pyramids. In the thirty-sixth O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Si, and one H atom. In the thirty-seventh O site, O is bonded in a 3-coordinate geometry to one Ca, one Mn, and one H atom. In the thirty-eighth O site, O is bonded in a 1-coordinate geometry to one Mn, one Si, and one H atom. In the thirty-ninth O site, O is bonded in a 2-coordinate geometry to one Ca, one Mn, and one Si atom. In the fortieth O site, O is bonded to three Ca and one Mn atom to form distorted corner-sharing OCa3Mn tetrahedra. In the forty-first O site, O is bonded in a distorted trigonal non-coplanar geometry to two Ca and one Si atom. I

36 MATERIALS SCIENCE↗

Materials Data on Li5Sm3(SbO6)2 by Materials Project

Li5Sm3(SbO6)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.81–2.38 Å. In the second Li1+ site, Li1+ is bonded in a 3-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.43 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four SbO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Li–O bond distances ranging from 1.91–1.98 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.79–2.43 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.82–2.16 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.80–2.52 Å. In the seventh Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.71 Å. In the eighth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.83–2.52 Å. In the ninth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.81–2.36 Å. In the tenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.84–2.19 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four SbO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of Li–O bond distances ranging from 1.85–1.98 Å. In the twelfth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.86–2.65 Å. In the thirteenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.74 Å. In the fourteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four SbO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Li–O bond distances ranging from 1.88–1.95 Å. In the fifteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.81–2.26 Å. In the sixteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.84–2.74 Å. In the seventeenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four SbO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Li–O bond distances ranging from 1.88–1.96 Å. In the eighteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.75 Å. In the nineteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.82–2.41 Å. In the twentieth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.83–2.15 Å. There are twelve inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.39–2.63 Å. In the second Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.38–2.65 Å. In the third Sm3+ site, Sm3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.37–2.58 Å. In the fourth Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.38–2.64 Å. In the fifth Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.37–2.66 Å. In the sixth Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.35–2.66 Å. In the seventh Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.35–2.60 Å. In the eighth Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.35–2.67 Å. In the ninth Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.36–2.60 Å. In the tenth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.33–2.68 Å. In the eleventh Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.35–2.81 Å. In the twelfth Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.35–2.62 Å. There are eight inequivalent Sb5+ sites. In the first Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two LiO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.01–2.04 Å. In the second Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with three LiO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.01–2.04 Å. In the third Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two LiO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 1.99–2.05 Å. In the fourth Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share a cornercorner with one LiO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.01–2.06 Å. In the fifth Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share a cornercorner with one LiO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.01–2.03 Å. In the sixth Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with three LiO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.01–2.04 Å. In the seventh Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two LiO4 tetrahedra. There are four shorter (2.02 Å) and two longer (2.03 Å) Sb–O bond lengths. In the eighth Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two LiO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.02–2.04 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, two Sm3+, and one Sb5+ atom. In the second O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the third O2- site, O2- is bonded to one Li1+, two Sm3+, and one Sb5+ atom to form a mixture of distorted corner and edge-sharing OLiSm2Sb tetrahedra. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two Sm3+, and one Sb5+ atom. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, two Sm3+, and one Sb5+ atom to form distorted corner-sharing OLiSm2Sb tetrahedra. In the fifteenth O2- site, O2- is bonded to one Li1+, two Sm3+, and one Sb5+ atom to form distorted corner-sharing OLiSm2Sb tetrahedra. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the eighteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the nineteenth O2- site, O2- is bonded to one Li1+, two Sm3+, and one Sb5+ atom to form a mixture of distorted corner and edge-sharing OLiSm2Sb tetrahedra. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Sm3+, and one Sb5+ atom. In the twenty-first O2- site, O2- is bonded to one Li1+, two Sm3+, and one Sb5+ atom to form distorted corner-sharing OLiSm2Sb tetrahedra. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Sm3+, and one Sb5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Sm3+, and one Sb5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Sm3+, and one Sb5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Sm3+, and one Sb5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the thirtieth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the thirty-first O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two Sm3+, and one Sb5+ atom. In the thirty-second O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the thirty-third O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two Sm3+, and one Sb5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two Sm3+, and one Sb5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted octahedral geometry to three Li1+, two Sm3+, and one Sb5+ atom. In the fortieth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the forty-fir

36 MATERIALS SCIENCE↗

Materials Data on Li4V3P8O29 by Materials Project

Li4V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.15 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.33 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.25 Å. In the fourth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.72 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.18 Å. In the sixth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.68 Å. In the seventh Li1+ site, Li1+ is bonded in a 2-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.66 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.77 Å. There are six inequivalent V+4.67+ sites. In the first V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–1.93 Å. In the second V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–1.98 Å. In the third V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–1.92 Å. In the fourth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.81–1.95 Å. In the fifth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–2.00 Å. In the sixth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–1.99 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 37°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–38°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–36°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 31–36°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–41°. There are a spread of P–O bond distances ranging from 1.48–1.64 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–40°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–38°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, 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 1.49–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–35°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 27–33°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–43°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–46°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a distorted single-bond geometry to one Li1+ and one P5+ atom. In the

36 MATERIALS SCIENCE↗

Materials Data on La12Ga23WO56 by Materials Project

La12WGa23O56 is Esseneite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent La sites. In the first La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.38–2.89 Å. In the second La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.37–2.92 Å. In the third La site, La is bonded in a 6-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.94 Å. In the fourth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.93 Å. In the fifth La site, La is bonded in a 6-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.38–2.95 Å. In the sixth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.92 Å. In the seventh La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.38–2.92 Å. In the eighth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.37–2.90 Å. In the ninth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.40–2.93 Å. In the tenth La site, La is bonded in a 6-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.38–2.96 Å. In the eleventh La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.38–2.94 Å. In the twelfth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.38–2.89 Å. W is bonded to six O atoms to form WO6 octahedra that share corners with six GaO4 tetrahedra. There is three shorter (1.95 Å) and three longer (1.96 Å) W–O bond length. There are twenty-three inequivalent Ga sites. In the first Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.88 Å. In the second Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.87 Å. In the third Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.88 Å. In the fourth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.87 Å. In the fifth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.87 Å. In the sixth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.87 Å. In the seventh Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.87 Å. In the eighth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There is one shorter (1.82 Å) and three longer (1.87 Å) Ga–O bond length. In the ninth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share a cornercorner with one WO6 octahedra, a cornercorner with one GaO6 octahedra, and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–68°. There are a spread of Ga–O bond distances ranging from 1.83–1.93 Å. In the tenth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with two GaO6 octahedra and corners with two GaO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Ga–O bond distances ranging from 1.85–1.91 Å. In the eleventh Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share a cornercorner with one WO6 octahedra, a cornercorner with one GaO6 octahedra, and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–68°. There are a spread of Ga–O bond distances ranging from 1.83–1.93 Å. In the twelfth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share corners with two GaO6 octahedra and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–67°. There are a spread of Ga–O bond distances ranging from 1.85–1.92 Å. In the thirteenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share corners with two GaO6 octahedra and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–67°. There is two shorter (1.85 Å) and two longer (1.91 Å) Ga–O bond length. In the fourteenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share corners with two GaO6 octahedra and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–67°. There are a spread of Ga–O bond distances ranging from 1.85–1.91 Å. In the fifteenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share a cornercorner with one WO6 octahedra, a cornercorner with one GaO6 octahedra, and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–68°. There are a spread of Ga–O bond distances ranging from 1.83–1.93 Å. In the sixteenth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share a cornercorner with one WO6 octahedra, a cornercorner with one GaO6 octahedra, and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–68°. There are a spread of Ga–O bond distances ranging from 1.84–1.94 Å. In the seventeenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share corners with two GaO6 octahedra and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–67°. There are a spread of Ga–O bond distances ranging from 1.85–1.90 Å. In the eighteenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share corners with two GaO6 octahedra and corners with two GaO4 tetrahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Ga–O bond distances ranging from 1.85–1.92 Å. In the nineteenth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share a cornercorner with one WO6 octahedra, a cornercorner with one GaO6 octahedra, and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–67°. There are a spread of Ga–O bond distances ranging from 1.83–1.94 Å. In the twentieth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share a cornercorner with one WO6 octahedra, a cornercorner with one GaO6 octahedra, and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–67°. There are a spread of Ga–O bond distances ranging from 1.83–1.93 Å. In the twenty-first Ga site, Ga is bonded to six O atoms to form corner-sharing GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 2.02–2.05 Å. In the twenty-second Ga site, Ga is bonded to six O atoms to form corner-sharing GaO6 octahedra. There are one shorter (2.02 Å) and five longer (2.03 Å) Ga–O bond lengths. In the twenty-third Ga site, Ga is bonded to six O atoms to form corner-sharing GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 2.02–2.05 Å. There are fifty-six inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the second O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the third O site, O is bonded in a distorted trigonal planar geometry to one La, one W, and one Ga atom. In the fourth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the fifth O site, O is bonded in a distorted trigonal planar geometry to one La, one W, and one Ga atom. In the sixth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the seventh O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the eighth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the ninth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the tenth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the eleventh O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the twelfth O site, O is bonded in a distorted trigonal planar geometry to one La, one W, and one Ga atom. In the thirteenth O site, O is bonded in a distorted trigonal planar geometry to one La, one W, and one Ga atom. In the fourteenth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the fifteenth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the sixteenth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the seventeenth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the eighteenth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the nineteenth O site, O is bonded in a distorted trigonal planar geometry to one La, one W, and one Ga atom. In the twentieth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the twenty-first O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the twenty-second O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the twenty-third O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the twenty-fourth O site, O is bonded in a distorted trigonal planar geometry to one La, one W, and one Ga atom. In the twenty-fifth O site, O is bonded to three La and one Ga atom to form distorted corner-sharing OLa3Ga tetrahedra. In the twenty-sixth O site, O is bonded to three La and one Ga atom to form corner-sharing OLa3Ga tetrahedra. In the twenty-seventh O site, O is bonded to three La and one Ga atom to form distorted corner-sharing OLa3Ga tetrahedra. In the twenty-eighth O site, O is bonded to three La and one Ga atom to form distorted corner-sharing OLa3Ga tetrahedra. In the twenty-ninth O site, O is bonded to three La and one Ga atom to form distorted corner-sharing OLa3Ga tetrahedra. In the thirtieth O site, O is bonded to three La and one Ga atom to form corner-sharing OLa3Ga tetrahedra. In the thirty-first O site, O is bonded to three La and one Ga atom to form distorted corner-sharing OLa3Ga tetrahedra. In the thirty-second O site, O is bonded to three La and one Ga atom to form distorted corner-sharing OLa3Ga tetrahedra. In the thirty-third O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the thirty-fourth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the thirty-fifth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the thirty-sixth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the thirty-seventh O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the thirty-eighth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the thirty-ninth O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the fortieth O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the forty-first O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the forty-second O site, O is bonded in a 4-coordinate geometry to two La and

36 MATERIALS SCIENCE↗

Materials Data on Y11Mg76 by Materials Project

Mg76Y11 is alpha-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are forty-one inequivalent Mg sites. In the first Mg site, Mg is bonded in a 11-coordinate geometry to eight Mg and three Y atoms. There are a spread of Mg–Mg bond distances ranging from 2.87–3.41 Å. There are two shorter (3.45 Å) and one longer (3.46 Å) Mg–Y bond lengths. In the second Mg site, Mg is bonded in a 12-coordinate geometry to eight Mg and four Y atoms. There are a spread of Mg–Mg bond distances ranging from 2.86–3.41 Å. There are three shorter (3.46 Å) and one longer (3.54 Å) Mg–Y bond lengths. In the third Mg site, Mg is bonded in a 12-coordinate geometry to nine Mg and three Y atoms. There are a spread of Mg–Mg bond distances ranging from 2.87–3.45 Å. There are a spread of Mg–Y bond distances ranging from 3.44–3.55 Å. In the fourth Mg site, Mg is bonded in a 12-coordinate geometry to eight Mg and four Y atoms. There are a spread of Mg–Mg bond distances ranging from 2.86–3.39 Å. There are a spread of Mg–Y bond distances ranging from 3.45–3.56 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to eight Mg and four Y atoms. There are a spread of Mg–Mg bond distances ranging from 2.87–3.38 Å. There are a spread of Mg–Y bond distances ranging from 3.46–3.57 Å. In the sixth Mg site, Mg is bonded in a 11-coordinate geometry to eight Mg and three Y atoms. There are a spread of Mg–Mg bond distances ranging from 3.00–3.40 Å. There are two shorter (3.46 Å) and one longer (3.48 Å) Mg–Y bond lengths. In the seventh Mg site, Mg is bonded in a 11-coordinate geometry to eight Mg and three Y atoms. There are a spread of Mg–Mg bond distances ranging from 2.97–3.40 Å. There are two shorter (3.46 Å) and one longer (3.47 Å) Mg–Y bond lengths. In the eighth Mg site, Mg is bonded in a 12-coordinate geometry to nine Mg and three Y atoms. There are a spread of Mg–Mg bond distances ranging from 2.87–3.44 Å. There are two shorter (3.46 Å) and one longer (3.57 Å) Mg–Y bond lengths. In the ninth Mg site, Mg is bonded in a 12-coordinate geometry to nine Mg and three Y atoms. There are a spread of Mg–Mg bond distances ranging from 2.87–3.44 Å. There are two shorter (3.46 Å) and one longer (3.56 Å) Mg–Y bond lengths. In the tenth Mg site, Mg is bonded in a 12-coordinate geometry to nine Mg and three Y atoms. There are a spread of Mg–Mg bond distances ranging from 2.87–3.44 Å. There are a spread of Mg–Y bond distances ranging from 3.44–3.55 Å. In the eleventh Mg site, Mg is bonded in a 12-coordinate geometry to ten Mg and two Y atoms. There are a spread of Mg–Mg bond distances ranging from 2.89–3.43 Å. There are one shorter (3.44 Å) and one longer (3.56 Å) Mg–Y bond lengths. In the twelfth Mg site, Mg is bonded in a 12-coordinate geometry to nine Mg and three Y atoms. There are a spread of Mg–Mg bond distances ranging from 2.87–3.42 Å. There are a spread of Mg–Y bond distances ranging from 3.44–3.57 Å. In the thirteenth Mg site, Mg is bonded in a 12-coordinate geometry to nine Mg and three Y atoms. There are a spread of Mg–Mg bond distances ranging from 2.95–3.42 Å. There are a spread of Mg–Y bond distances ranging from 3.45–3.58 Å. In the fourteenth Mg site, Mg is bonded in a 12-coordinate geometry to nine Mg and three Y atoms. There are a spread of Mg–Mg bond distances ranging from 2.95–3.44 Å. There are two shorter (3.45 Å) and one longer (3.55 Å) Mg–Y bond lengths. In the fifteenth Mg site, Mg is bonded in a 12-coordinate geometry to nine Mg and three Y atoms. There are a spread of Mg–Mg bond distances ranging from 2.96–3.44 Å. There are a spread of Mg–Y bond distances ranging from 3.44–3.55 Å. In the sixteenth Mg site, Mg is bonded in a 11-coordinate geometry to nine Mg and two Y atoms. There are a spread of Mg–Mg bond distances ranging from 2.97–3.44 Å. There are one shorter (3.43 Å) and one longer (3.44 Å) Mg–Y bond lengths. In the seventeenth Mg site, Mg is bonded in a 11-coordinate geometry to eight Mg and three Y atoms. There are a spread of Mg–Mg bond distances ranging from 2.97–3.39 Å. There are one shorter (3.44 Å) and two longer (3.45 Å) Mg–Y bond lengths. In the eighteenth Mg site, Mg is bonded in a 11-coordinate geometry to eight Mg and three Y atoms. There are a spread of Mg–Mg bond distances ranging from 2.96–3.39 Å. There are a spread of Mg–Y bond distances ranging from 3.44–3.46 Å. In the nineteenth Mg site, Mg is bonded in a 11-coordinate geometry to nine Mg and two Y atoms. There are a spread of Mg–Mg bond distances ranging from 2.96–3.44 Å. There are one shorter (3.43 Å) and one longer (3.46 Å) Mg–Y bond lengths. In the twentieth Mg site, Mg is bonded to twelve Mg atoms to form distorted MgMg12 cuboctahedra that share corners with two equivalent MgYMg11 cuboctahedra, edges with four MgYMg11 cuboctahedra, and faces with three MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.36 Å. In the twenty-first Mg site, Mg is bonded to eleven Mg and one Y atom to form a mixture of distorted edge and corner-sharing MgYMg11 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.27–3.37 Å. The Mg–Y bond length is 3.20 Å. In the twenty-second Mg site, Mg is bonded to eleven Mg and one Y atom to form distorted MgYMg11 cuboctahedra that share corners with four MgYMg11 cuboctahedra, edges with four MgMg12 cuboctahedra, and faces with two MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.27–3.36 Å. The Mg–Y bond length is 3.20 Å. In the twenty-third Mg site, Mg is bonded in a 12-coordinate geometry to eleven Mg and one Y atom. There are a spread of Mg–Mg bond distances ranging from 3.27–3.35 Å. The Mg–Y bond length is 3.20 Å. In the twenty-fourth Mg site, Mg is bonded to eleven Mg and one Y atom to form distorted MgYMg11 cuboctahedra that share corners with two MgMg12 cuboctahedra, edges with four MgMg12 cuboctahedra, and a faceface with one MgYMg11 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.26–3.37 Å. The Mg–Y bond length is 3.20 Å. In the twenty-fifth Mg site, Mg is bonded to twelve Mg atoms to form distorted MgMg12 cuboctahedra that share corners with four MgYMg11 cuboctahedra, edges with two equivalent MgYMg11 cuboctahedra, and faces with three MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.36 Å. In the twenty-sixth Mg site, Mg is bonded in a 1-coordinate geometry to twelve Mg and one Y atom. There are a spread of Mg–Mg bond distances ranging from 3.19–3.37 Å. The Mg–Y bond length is 3.68 Å. In the twenty-seventh Mg site, Mg is bonded in a 2-coordinate geometry to eleven Mg and two Y atoms. There are a spread of Mg–Mg bond distances ranging from 3.31–3.37 Å. There are one shorter (3.21 Å) and one longer (3.68 Å) Mg–Y bond lengths. In the twenty-eighth Mg site, Mg is bonded in a 2-coordinate geometry to eleven Mg and two Y atoms. There are a spread of Mg–Mg bond distances ranging from 3.32–3.36 Å. There are one shorter (3.20 Å) and one longer (3.68 Å) Mg–Y bond lengths. In the twenty-ninth Mg site, Mg is bonded to eleven Mg and one Y atom to form a mixture of distorted edge, face, and corner-sharing MgYMg11 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.29–3.36 Å. The Mg–Y bond length is 3.19 Å. In the thirtieth Mg site, Mg is bonded in a 2-coordinate geometry to eleven Mg and two Y atoms. There are one shorter (3.34 Å) and one longer (3.35 Å) Mg–Mg bond lengths. There are one shorter (3.23 Å) and one longer (3.67 Å) Mg–Y bond lengths. In the thirty-first Mg site, Mg is bonded in a 2-coordinate geometry to eleven Mg and two equivalent Y atoms. Both Mg–Mg bond lengths are 3.34 Å. There are one shorter (3.22 Å) and one longer (3.67 Å) Mg–Y bond lengths. In the thirty-second Mg site, Mg is bonded in a 2-coordinate geometry to eleven Mg and two Y atoms. There are one shorter (3.34 Å) and one longer (3.35 Å) Mg–Mg bond lengths. There are one shorter (3.23 Å) and one longer (3.67 Å) Mg–Y bond lengths. In the thirty-third Mg site, Mg is bonded in a 1-coordinate geometry to twelve Mg and one Y atom. There are one shorter (3.20 Å) and one longer (3.33 Å) Mg–Mg bond lengths. The Mg–Y bond length is 3.67 Å. In the thirty-fourth Mg site, Mg is bonded in a 2-coordinate geometry to eleven Mg and two Y atoms. The Mg–Mg bond length is 3.31 Å. There are one shorter (3.23 Å) and one longer (3.66 Å) Mg–Y bond lengths. In the thirty-fifth Mg site, Mg is bonded in a 2-coordinate geometry to eleven Mg and two Y atoms. The Mg–Mg bond length is 3.32 Å. There are one shorter (3.22 Å) and one longer (3.66 Å) Mg–Y bond lengths. In the thirty-sixth Mg site, Mg is bonded in a 1-coordinate geometry to twelve Mg and one Y atom. The Mg–Mg bond length is 3.20 Å. The Mg–Y bond length is 3.67 Å. In the thirty-seventh Mg site, Mg is bonded in a 1-coordinate geometry to twelve Mg and one Y atom. The Mg–Mg bond length is 3.20 Å. The Mg–Y bond length is 3.66 Å. In the thirty-eighth Mg site, Mg is bonded in a 1-coordinate geometry to twelve Mg and one Y atom. The Mg–Mg bond length is 3.20 Å. The Mg–Y bond length is 3.65 Å. In the thirty-ninth Mg site, Mg is bonded in a 4-coordinate geometry to nine Mg and one Y atom. The Mg–Y bond length is 3.56 Å. In the fortieth Mg site, Mg is bonded in a 4-coordinate geometry to nine Mg and one Y atom. The Mg–Y bond length is 3.56 Å. In the forty-first Mg site, Mg is bonded in a 4-coordinate geometry to nine Mg and one Y atom. The Mg–Y bond length is 3.57 Å. There are six inequivalent Y sites. In the first Y site, Y is bonded in a 12-coordinate geometry to fourteen Mg and two equivalent Y atoms. Both Y–Y bond lengths are 3.63 Å. In the second Y site, Y is bonded in a 12-coordinate geometry to thirteen Mg and three Y atoms. There are one shorter (3.62 Å) and two longer (3.64 Å) Y–Y bond lengths. In the third Y site, Y is bonded in a 3-coordinate geometry to fifteen Mg and one Y atom. In the fourth Y site, Y is bonded in a 3-coordinate geometry to fifteen Mg and one Y atom. In the fifth Y site, Y is bonded in a 3-coordinate geometry to fifteen Mg and one Y atom. In the sixth Y site, Y is bonded in a 3-coordinate geometry to fifteen Mg and one Y atom.

36 MATERIALS SCIENCE↗

Materials Data on Mg8SiW9O49 by Materials Project

MgO6Mg7W9SiO43 crystallizes in the monoclinic Cc space group. The structure is three-dimensional and consists of four magnesium;dihydroxide;tetrahydrate molecules and one Mg7W9SiO43 framework. In the Mg7W9SiO43 framework, there are three inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share a cornercorner with one SiO4 tetrahedra and edges with two equivalent MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.13 Å. In the second Mg site, Mg is bonded to five O atoms to form distorted corner-sharing MgO5 trigonal bipyramids. There are a spread of Mg–O bond distances ranging from 1.98–2.14 Å. In the third Mg site, Mg is bonded in a distorted hexagonal planar geometry to six O atoms. There are three shorter (2.02 Å) and three longer (2.05 Å) Mg–O bond lengths. There are three inequivalent W sites. In the first W site, W is bonded in a 6-coordinate geometry to six O atoms. There are a spread of W–O bond distances ranging from 1.78–2.42 Å. In the second W site, W is bonded in a 6-coordinate geometry to six O atoms. There are a spread of W–O bond distances ranging from 1.78–2.42 Å. In the third W site, W is bonded in a 6-coordinate geometry to six O atoms. There are a spread of W–O bond distances ranging from 1.78–2.37 Å. Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three equivalent MgO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There is one shorter (1.63 Å) and three longer (1.67 Å) Si–O bond length. There are forty-one inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–Mg bond length is 1.98 Å. In the second O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–Mg bond length is 1.98 Å. The O–W bond length is 1.78 Å. In the third O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–W bond length is 1.78 Å. In the fourth O site, O is bonded in a bent 120 degrees geometry to two W atoms. In the fifth O site, O is bonded in a bent 120 degrees geometry to two W atoms. There is one shorter (1.92 Å) and one longer (2.01 Å) O–W bond length. In the sixth O site, O is bonded in a bent 120 degrees geometry to two W atoms. There is one shorter (1.92 Å) and one longer (2.01 Å) O–W bond length. In the seventh O site, O is bonded in a T-shaped geometry to three Mg atoms. In the eighth O site, O is bonded in a T-shaped geometry to three Mg atoms. In the ninth O site, O is bonded in a T-shaped geometry to three Mg atoms. There are one shorter (2.13 Å) and one longer (2.14 Å) O–Mg bond lengths. In the tenth O site, O is bonded in a single-bond geometry to one Mg atom. In the eleventh O site, O is bonded in a single-bond geometry to one Mg atom. The O–Mg bond length is 2.13 Å. In the twelfth O site, O is bonded in a distorted single-bond geometry to three W and one Si atom. In the thirteenth O site, O is bonded in a distorted single-bond geometry to three W and one Si atom. There are one shorter (2.37 Å) and two longer (2.42 Å) O–W bond lengths. In the fourteenth O site, O is bonded in a distorted single-bond geometry to three W and one Si atom. There are one shorter (2.37 Å) and two longer (2.42 Å) O–W bond lengths. In the fifteenth O site, O is bonded in a distorted trigonal pyramidal geometry to three equivalent Mg and one Si atom. In the sixteenth O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–Mg bond length is 2.01 Å. The O–W bond length is 1.78 Å. In the seventeenth O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. In the eighteenth O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–Mg bond length is 2.01 Å. The O–W bond length is 1.78 Å. In the nineteenth O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–Mg bond length is 2.01 Å. In the twentieth O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–W bond length is 1.78 Å. In the twenty-first O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–Mg bond length is 2.01 Å. The O–W bond length is 1.78 Å. In the twenty-second O site, O is bonded in a bent 120 degrees geometry to two W atoms. In the twenty-third O site, O is bonded in a bent 120 degrees geometry to two W atoms. Both O–W bond lengths are 2.03 Å. In the twenty-fourth O site, O is bonded in a bent 120 degrees geometry to two W atoms. Both O–W bond lengths are 2.03 Å. In the twenty-fifth O site, O is bonded in a bent 150 degrees geometry to two W atoms. The O–W bond length is 1.93 Å. In the twenty-sixth O site, O is bonded in a bent 150 degrees geometry to two W atoms. Both O–W bond lengths are 1.93 Å. In the twenty-seventh O site, O is bonded in a bent 150 degrees geometry to two W atoms. The O–W bond length is 1.93 Å. In the twenty-eighth O site, O is bonded in a bent 120 degrees geometry to two W atoms. In the twenty-ninth O site, O is bonded in a bent 120 degrees geometry to two W atoms. There is one shorter (1.92 Å) and one longer (2.01 Å) O–W bond length. In the thirtieth O site, O is bonded in a bent 120 degrees geometry to two W atoms. There is one shorter (1.92 Å) and one longer (2.01 Å) O–W bond length. In the thirty-first O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–Mg bond length is 2.03 Å. In the thirty-second O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–Mg bond length is 2.03 Å. The O–W bond length is 1.82 Å. In the thirty-third O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–W bond length is 1.82 Å. In the thirty-fourth O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. In the thirty-fifth O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–Mg bond length is 2.03 Å. The O–W bond length is 1.82 Å. In the thirty-sixth O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–Mg bond length is 2.03 Å. The O–W bond length is 1.82 Å. In the thirty-seventh O site, O is bonded in a trigonal non-coplanar geometry to three Mg atoms. In the thirty-eighth O site, O is bonded in a trigonal non-coplanar geometry to three Mg atoms. Both O–Mg bond lengths are 2.12 Å. In the thirty-ninth O site, O is bonded in a trigonal non-coplanar geometry to three Mg atoms. In the fortieth O site, O is bonded in a bent 150 degrees geometry to two equivalent W atoms. In the forty-first O site, O is bonded in a bent 150 degrees geometry to two equivalent W atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li4V3P8O29 by Materials Project

Li4V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.34 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.32 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.21 Å. In the fourth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.52 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.34 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.28 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.01–2.18 Å. In the eighth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.86–2.67 Å. There are six inequivalent V+4.67+ sites. In the first V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–1.94 Å. In the second V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–1.95 Å. In the third V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–1.93 Å. In the fourth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–1.97 Å. In the fifth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.01 Å. In the sixth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.00 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–41°. There are a spread of P–O bond distances ranging from 1.47–1.63 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–47°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–44°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 33–38°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 26–34°. There are a spread of P–O bond distances ranging from 1.49–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–42°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–40°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–41°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 27–35°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–37°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 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 1.48–1.64 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–46°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the forty-second O2- si

36 MATERIALS SCIENCE↗

Materials Data on Yb9B5S21 by Materials Project

Yb9B5S21 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Yb3+ sites. In the first Yb3+ site, Yb3+ is bonded to seven S2- atoms to form distorted YbS7 pentagonal bipyramids that share corners with two YbS7 pentagonal bipyramids, corners with two BS4 tetrahedra, a cornercorner with one BS4 trigonal pyramid, an edgeedge with one BS4 tetrahedra, and a faceface with one YbS7 pentagonal bipyramid. There are a spread of Yb–S bond distances ranging from 2.79–3.07 Å. In the second Yb3+ site, Yb3+ is bonded to seven S2- atoms to form distorted YbS7 pentagonal bipyramids that share corners with two YbS7 pentagonal bipyramids, a cornercorner with one YbS6 pentagonal pyramid, corners with two BS4 tetrahedra, an edgeedge with one YbS7 pentagonal bipyramid, an edgeedge with one BS4 tetrahedra, and a faceface with one YbS7 pentagonal bipyramid. There are a spread of Yb–S bond distances ranging from 2.83–3.07 Å. In the third Yb3+ site, Yb3+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Yb–S bond distances ranging from 2.71–3.02 Å. In the fourth Yb3+ site, Yb3+ is bonded to seven S2- atoms to form distorted YbS7 pentagonal bipyramids that share a cornercorner with one YbS7 pentagonal bipyramid, a cornercorner with one YbS6 pentagonal pyramid, corners with two BS4 tetrahedra, an edgeedge with one YbS7 pentagonal bipyramid, an edgeedge with one BS4 tetrahedra, and a faceface with one YbS7 pentagonal bipyramid. There are a spread of Yb–S bond distances ranging from 2.84–3.07 Å. In the fifth Yb3+ site, Yb3+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Yb–S bond distances ranging from 2.74–2.92 Å. In the sixth Yb3+ site, Yb3+ is bonded to seven S2- atoms to form distorted YbS7 pentagonal bipyramids that share corners with two YbS7 pentagonal bipyramids, corners with two BS4 tetrahedra, a cornercorner with one BS4 trigonal pyramid, an edgeedge with one BS4 tetrahedra, and a faceface with one YbS6 pentagonal pyramid. There are a spread of Yb–S bond distances ranging from 2.77–3.01 Å. In the seventh Yb3+ site, Yb3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Yb–S bond distances ranging from 2.79–2.93 Å. In the eighth Yb3+ site, Yb3+ is bonded to seven S2- atoms to form distorted YbS7 pentagonal bipyramids that share corners with two YbS7 pentagonal bipyramids, corners with two BS4 tetrahedra, a cornercorner with one BS4 trigonal pyramid, an edgeedge with one BS4 tetrahedra, and a faceface with one YbS7 pentagonal bipyramid. There are a spread of Yb–S bond distances ranging from 2.74–3.17 Å. In the ninth Yb3+ site, Yb3+ is bonded to six S2- atoms to form distorted YbS6 pentagonal pyramids that share corners with three YbS7 pentagonal bipyramids, corners with two BS4 tetrahedra, an edgeedge with one BS4 tetrahedra, and a faceface with one YbS7 pentagonal bipyramid. There are a spread of Yb–S bond distances ranging from 2.78–2.96 Å. In the tenth Yb3+ site, Yb3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Yb–S bond distances ranging from 2.80–3.08 Å. In the eleventh Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to eight S2- atoms. There are a spread of Yb–S bond distances ranging from 2.71–3.37 Å. In the twelfth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Yb–S bond distances ranging from 2.76–3.13 Å. In the thirteenth Yb3+ site, Yb3+ is bonded to seven S2- atoms to form distorted YbS7 pentagonal bipyramids that share a cornercorner with one YbS7 pentagonal bipyramid, a cornercorner with one YbS6 pentagonal pyramid, corners with two BS4 tetrahedra, an edgeedge with one YbS7 pentagonal bipyramid, and an edgeedge with one BS4 tetrahedra. There are a spread of Yb–S bond distances ranging from 2.71–3.00 Å. In the fourteenth Yb3+ site, Yb3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Yb–S bond distances ranging from 2.78–3.28 Å. In the fifteenth Yb3+ site, Yb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Yb–S bond distances ranging from 2.72–3.29 Å. In the sixteenth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Yb–S bond distances ranging from 2.76–3.20 Å. In the seventeenth Yb3+ site, Yb3+ is bonded to seven S2- atoms to form distorted YbS7 pentagonal bipyramids that share corners with two YbS7 pentagonal bipyramids, corners with two BS4 tetrahedra, an edgeedge with one YbS7 pentagonal bipyramid, and an edgeedge with one BS4 tetrahedra. There are a spread of Yb–S bond distances ranging from 2.72–3.06 Å. In the eighteenth Yb3+ site, Yb3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Yb–S bond distances ranging from 2.76–3.35 Å. There are ten inequivalent B3+ sites. In the first B3+ site, B3+ is bonded to four S2- atoms to form distorted BS4 tetrahedra that share corners with two YbS7 pentagonal bipyramids and a cornercorner with one YbS6 pentagonal pyramid. There are a spread of B–S bond distances ranging from 1.86–2.01 Å. In the second B3+ site, B3+ is bonded to four S2- atoms to form distorted BS4 tetrahedra that share corners with three YbS7 pentagonal bipyramids and an edgeedge with one YbS7 pentagonal bipyramid. There are a spread of B–S bond distances ranging from 1.87–2.00 Å. In the third B3+ site, B3+ is bonded to four S2- atoms to form distorted BS4 tetrahedra that share corners with two YbS7 pentagonal bipyramids and an edgeedge with one YbS7 pentagonal bipyramid. There are a spread of B–S bond distances ranging from 1.88–1.99 Å. In the fourth B3+ site, B3+ is bonded to four S2- atoms to form BS4 tetrahedra that share corners with two YbS7 pentagonal bipyramids, a cornercorner with one YbS6 pentagonal pyramid, and edges with two YbS7 pentagonal bipyramids. There is three shorter (1.95 Å) and one longer (1.96 Å) B–S bond length. In the fifth B3+ site, B3+ is bonded to four S2- atoms to form BS4 tetrahedra that share corners with two YbS7 pentagonal bipyramids, an edgeedge with one YbS7 pentagonal bipyramid, and an edgeedge with one YbS6 pentagonal pyramid. There is three shorter (1.94 Å) and one longer (1.96 Å) B–S bond length. In the sixth B3+ site, B3+ is bonded to four S2- atoms to form BS4 tetrahedra that share corners with three YbS7 pentagonal bipyramids and edges with two YbS7 pentagonal bipyramids. There are a spread of B–S bond distances ranging from 1.93–1.96 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three S2- atoms. All B–S bond lengths are 1.83 Å. In the eighth B3+ site, B3+ is bonded to four S2- atoms to form distorted BS4 trigonal pyramids that share corners with three YbS7 pentagonal bipyramids and corners with two SYb3S trigonal pyramids. There are a spread of B–S bond distances ranging from 1.84–2.54 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three S2- atoms. There is two shorter (1.83 Å) and one longer (1.84 Å) B–S bond length. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to four S2- atoms. There are a spread of B–S bond distances ranging from 1.83–2.75 Å. There are forty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb3+ and one B3+ atom. In the second S2- site, S2- is bonded in a 1-coordinate geometry to three Yb3+ and one B3+ atom. In the third S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the fourth S2- site, S2- is bonded in a 1-coordinate geometry to four Yb3+ and one B3+ atom. In the fifth S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the sixth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Yb3+ and one B3+ atom. In the seventh S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the eighth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Yb3+ and one B3+ atom. In the ninth S2- site, S2- is bonded in a 1-coordinate geometry to two Yb3+ and one B3+ atom. In the tenth S2- site, S2- is bonded in a 1-coordinate geometry to two Yb3+, one B3+, and one S2- atom. The S–S bond length is 2.14 Å. In the eleventh S2- site, S2- is bonded in a 1-coordinate geometry to two Yb3+ and one B3+ atom. In the twelfth S2- site, S2- is bonded in a 5-coordinate geometry to four Yb3+ and one B3+ atom. In the thirteenth S2- site, S2- is bonded in a 5-coordinate geometry to four Yb3+ and one B3+ atom. In the fourteenth S2- site, S2- is bonded in a 1-coordinate geometry to two Yb3+ and one B3+ atom. In the fifteenth S2- site, S2- is bonded in a 2-coordinate geometry to two Yb3+ and one B3+ atom. In the sixteenth S2- site, S2- is bonded in a 4-coordinate geometry to two Yb3+, one B3+, and one S2- atom. In the seventeenth S2- site, S2- is bonded in a 5-coordinate geometry to four Yb3+ and one B3+ atom. In the eighteenth S2- site, S2- is bonded in a distorted single-bond geometry to two Yb3+ and one B3+ atom. In the nineteenth S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the twentieth S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the twenty-first S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one S2- atom. The S–S bond length is 2.03 Å. In the twenty-second S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the twenty-third S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one S2- atom. The S–S bond length is 2.03 Å. In the twenty-fourth S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the twenty-fifth S2- site, S2- is bonded in a 4-coordinate geometry to two Yb3+, one B3+, and two S2- atoms. In the twenty-sixth S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the twenty-seventh S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the twenty-eighth S2- site, S2- is bonded to three Yb3+ and one S2- atom to form distorted SYb3S trigonal pyramids that share a cornercorner with one BS4 trigonal pyramid and an edgeedge with one SYb3S trigonal pyramid. The S–S bond length is 2.06 Å. In the twenty-ninth S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the thirtieth S2- site, S2- is bonded in a distorted see-saw-like geometry to three Yb3+ and one B3+ atom. In the thirty-first S2- site, S2- is bonded in a distorted see-saw-like geometry to three Yb3+ and one B3+ atom. In the thirty-second S2- site, S2- is bonded to three Yb3+ and one S2- atom to form distorted SYb3S trigonal pyramids that share a cornercorner with one BS4 trigonal pyramid, a cornercorner with one SYb3B trigonal pyramid, and an edgeedge with one SYb3S trigonal pyramid. The S–S bond length is 2.06 Å. In the thirty-third S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the thirty-fourth S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the thirty-fifth S2- site, S2- is bonded in a distorted see-saw-like geometry to three Yb3+ and one B3+ atom. In the thirty-sixth S2- site, S2- is bonded in a 3-coordinate geometry to one B3+ and two S2- atoms. In the thirty-seventh S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the thirty-eighth S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the thirty-ninth S2- site, S2- is bonded to three Yb3+ and one B3+ atom to form distorted corner-sharing SYb3B trigonal pyramids. In the fortieth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Yb3+ and one B3+ atom. In the forty-first S2- sit

36 MATERIALS SCIENCE↗