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At least 19 records

Forty-year hydropower generation reanalysis for Conterminous United States

First published in 2022, the RectifHyd dataset provides hydrologically consistent estimates of monthly net generation for approximately 1,500 hydropower plants in the United States, addressing a gap in industrial surveys that have collected monthly generation data from only ~10% of plants post-2003. Here we present RectifHydPlus—an extended and enhanced dataset that improves on both the proxy information and temporal downscaling methodology adopted in RectifHyd. In addition to providing updated estimates of historical monthly generation for 590 plants with >10 MW nameplate capacity from 1980 through 2019, RectifHydPlus adds a hydrological control dataset that isolates the influence of historical water availability on generation. The new hydrological control dataset is suited to applications seeking to represent the capabilities of the contemporary fleet subject to historical interannual variability in climate. RectifHydPlus also includes a forty-year, daily-resolution, spill-adjusted water release time series for each dam, allowing users to aggregate generation estimates to the desired temporal resolution.

Hydroelectricity↗

Feedback on Forty-year Long Clean-up Operations of a Contaminated Soil for Environmental Purpose - 20026

One of the CEA facilities in France is the place of miscellaneous mapping and clean-up operations since the 1980's. The final purpose of the conducted work deals with the environmental remediation of the building. In France, the absence of a regulatory framework for the management of sites polluted by radioactive substances, especially as the lack of release thresholds, has led to develop different approaches of soil radiological characterization. The geostatistical approach is part of them. Preliminary investigations are an unavoidable step prior to clearance and remediation. First, historical analysis enables to define site perimeters to investigate as well as to precisely locate expected contaminated parts. For radioactive pollutants, the media (water, soil, air) and transfer routes participate in the definition of the investigation perimeter and thus also need to be identified through a geological study. At the same time, functional analysis leads to choose the best measurement means which could provide useful information when combined with visual inspection. An equipment well adapted to easy-to-measure radionuclides as gamma emitters, such as gamma probe or on-site gamma spectrometry, is usually selected as a non-destructive assay. Coupled with spatial positions, processed on-site radiological data can be mapped. Data processing consists in mapping and kriging before a geostatistical analysis in order to identify the zones of interest to be targeted. Selected zones are not only linked to high level count rates but also to low level ones so that a pollution-free reference is known in the area. This data processing also enables to categorize waste types according to their origin and contamination levels. An expected volume of different waste then follows as well as the waste characterization equipments. In-depth investigations, e.g. core drillings and samplings, naturally ensue to aim at remediation optimization through the assessment of environmental impact. After clean-up operations, non-destructive assays as well as destructive samplings enable to check the effective clearance. Following this methodology in the present remediation work, results of the first non-destructive assay campaign highlighted a long-lived transuranic radionuclides contamination in the concrete flagstone. Successive non-destructive assays were then performed in the defined zones of interest. Count rates measured with a surface probe were first mapped. The best localization of destructive assays, i.e. core drillings at a 1 meter depth, came from this surface mapping followed by a geostatistical analysis. The concrete flagstone was totally removed. Then, the depth of soil to remove under the flagstone was optimized from the results of radiological activities measured in core drillings samples. A new surface mapping was then drawn after this partial soil excavation. The sand and demolition rubble samples, homogeneously constituted from the flagstone fragments, were analyzed by gamma spectrometry. Meanwhile, waste drums and other containers were also measured by gamma spectrometry and passive neutron measurement devices. All these results have brought miscellaneous pieces of information. In this context, major issues appear in terms of physical constraints such as the premises tininess as well as of soil sampling techniques and in terms of measurement performances assessment and the representativeness of homogeneous samples. The choice of radiological soil and waste characterization devices is described in the light of enhanced performances by keeping in mind radiation protection requirements and a willing to always optimize waste categories (very low level waste) and volume. The improvement of the characterization methods appears through this forty-year long work while sharing the feedback of encountered difficulties. (authors)

12 MANAGEMENT OF RADIOACTIVE AND NON-RADIOACTIVE W↗

Forty years of durability assessment of nuclear waste glass by standard methods

Abstract Standard methods to assess the durability of vitrified radioactive waste were first developed in the 1980’s and, over the last 40 years, have evolved to yield a range of responses depending on experimental conditions and glass composition. Mechanistic understanding of glass dissolution has progressed in parallel, enhancing our interpretation of the data acquired. With the implementation of subsurface disposal for vitrified radioactive waste drawing closer, it is timely to review the available standard methodologies and reflect upon their relative advantages, limitations, and how the data obtained can be interpreted to support the post-closure safety case for radioactive waste disposal.

12 MANAGEMENT OF RADIOACTIVE AND NON-RADIOACTIVE W↗

RectifHydPlus: Forty Year Hydropower Generation Reanalysis for Conterminous United States, Version 1.1.

This dataset contains monthly hydropower net-generation totals for 590 plants (each >10 MW) across the conterminous United States (CONUS) from 1980 to 2019. RectifHydPlus v1.1 includes one harmonized table of historical monthly generation—backfilled with observed monthly values where available—and two companion tables: (i) an estimates-only version with no backfill and (ii) a hydrological-control version that removes the effects of capacity and operational change. Each table comprises 23,600 records (590 plants × 40 years). The dataset was developed to address temporal gaps and inconsistencies in publicly available hydropower generation data as available through EIA-923 survey reports. Each record includes a quality label denoting the underlying proxy—from best (direct reservoir releases) to weakest (pattern copied from similar years). By combining the agency-reported survey records with observed and simulated hydrologic releases, RectifHydPlus offers complete, quality-labeled monthly estimates suitable for trend analysis and generation of hydropower generation inputs for energy-water modeling.

Turner, Sean [Oak Ridge National Laboratory (ORNL)↗

Materials Data on Zr27O49 by Materials Project

Zr27O49 crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. there are twenty-five inequivalent Zr+3.63+ sites. In the first Zr+3.63+ site, Zr+3.63+ is bonded to five O2- atoms to form distorted corner-sharing ZrO5 trigonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.15–2.23 Å. In the second Zr+3.63+ site, Zr+3.63+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.23–2.32 Å. In the third Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.21–2.43 Å. In the fourth Zr+3.63+ site, Zr+3.63+ is bonded to five O2- atoms to form distorted corner-sharing ZrO5 trigonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.13–2.21 Å. In the fifth Zr+3.63+ site, Zr+3.63+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.23–2.49 Å. In the sixth Zr+3.63+ site, Zr+3.63+ is bonded to five O2- atoms to form distorted corner-sharing ZrO5 trigonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.13–2.28 Å. In the seventh Zr+3.63+ site, Zr+3.63+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.23–2.32 Å. In the eighth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.21–2.41 Å. In the ninth Zr+3.63+ site, Zr+3.63+ is bonded to five O2- atoms to form distorted corner-sharing ZrO5 trigonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.14–2.22 Å. In the tenth Zr+3.63+ site, Zr+3.63+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.23–2.30 Å. In the eleventh Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.40 Å. In the twelfth Zr+3.63+ site, Zr+3.63+ is bonded to five O2- atoms to form distorted corner-sharing ZrO5 trigonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.12–2.24 Å. In the thirteenth Zr+3.63+ site, Zr+3.63+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.23–2.29 Å. In the fourteenth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.28 Å. In the fifteenth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.21–2.25 Å. In the sixteenth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.25 Å. In the seventeenth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.25 Å. In the eighteenth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.24 Å. In the nineteenth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.24 Å. In the twentieth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.24 Å. In the twenty-first Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.24 Å. In the twenty-second Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.25 Å. In the twenty-third Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.26 Å. In the twenty-fourth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.25 Å. In the twenty-fifth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.19–2.40 Å. There are forty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the second O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the ninth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the tenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twentieth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-first O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-second O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-third O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-seventh O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirtieth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirty-first O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirty-second O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirty-third O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirty-fourth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirty-fifth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. The O–Zr bond length is 2.23 Å. In the thirty-sixth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirty-seventh O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. There are one shorter (2.22 Å) and three longer (2.23 Å) O–Zr bond lengths. In the thirty-eighth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. All O–Zr bond lengths are 2.22 Å. In the thirty-ninth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. All O–Zr bond lengths are 2.23 Å. In the fortieth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. There are three shorter (2.22 Å) and one longer (2.24 Å) O–Zr bond lengths. In the forty-first O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-second O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-third O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. The O–Zr bond length is 2.25 Å. In the forty-fourth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-fifth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-sixth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-seventh O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-eighth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-ninth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Na16Be8H15 by Materials Project

Na16Be8H15 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are forty-eight inequivalent Na sites. In the first Na site, Na is bonded in a 2-coordinate geometry to three H atoms. There are a spread of Na–H bond distances ranging from 2.33–2.61 Å. In the second Na site, Na is bonded in a 1-coordinate geometry to one H atom. The Na–H bond length is 2.59 Å. In the third Na site, Na is bonded in a 1-coordinate geometry to one H atom. The Na–H bond length is 2.53 Å. In the fourth Na site, Na is bonded in a distorted rectangular see-saw-like geometry to four H atoms. There are a spread of Na–H bond distances ranging from 2.26–2.40 Å. In the fifth Na site, Na is bonded in a 4-coordinate geometry to three H atoms. There are a spread of Na–H bond distances ranging from 2.34–2.56 Å. In the sixth Na site, Na is bonded in a 3-coordinate geometry to one Be and two H atoms. The Na–Be bond length is 2.94 Å. Both Na–H bond lengths are 2.56 Å. In the seventh Na site, Na is bonded in a 4-coordinate geometry to four H atoms. There are a spread of Na–H bond distances ranging from 2.30–2.38 Å. In the eighth Na site, Na is bonded in a 2-coordinate geometry to two H atoms. There are one shorter (2.35 Å) and one longer (2.43 Å) Na–H bond lengths. In the ninth Na site, Na is bonded in a 4-coordinate geometry to three H atoms. There are a spread of Na–H bond distances ranging from 2.37–2.46 Å. In the tenth Na site, Na is bonded in a 1-coordinate geometry to three Be and three H atoms. There are a spread of Na–Be bond distances ranging from 2.88–3.12 Å. There are a spread of Na–H bond distances ranging from 2.58–2.70 Å. In the eleventh Na site, Na is bonded in a 3-coordinate geometry to three H atoms. There are a spread of Na–H bond distances ranging from 2.26–2.55 Å. In the twelfth Na site, Na is bonded in a 3-coordinate geometry to three H atoms. There are a spread of Na–H bond distances ranging from 2.26–2.48 Å. In the thirteenth Na site, Na is bonded in a 3-coordinate geometry to three H atoms. There are a spread of Na–H bond distances ranging from 2.30–2.44 Å. In the fourteenth Na site, Na is bonded in a 1-coordinate geometry to one H atom. The Na–H bond length is 2.53 Å. In the fifteenth Na site, Na is bonded in a 4-coordinate geometry to four H atoms. There are a spread of Na–H bond distances ranging from 2.27–2.44 Å. In the sixteenth Na site, Na is bonded in a distorted bent 120 degrees geometry to two H atoms. There are one shorter (2.44 Å) and one longer (2.48 Å) Na–H bond lengths. In the seventeenth Na site, Na is bonded in a distorted bent 120 degrees geometry to two H atoms. There are one shorter (2.33 Å) and one longer (2.39 Å) Na–H bond lengths. In the eighteenth Na site, Na is bonded in a 4-coordinate geometry to four H atoms. There are a spread of Na–H bond distances ranging from 2.23–2.54 Å. In the nineteenth Na site, Na is bonded in a distorted square co-planar geometry to four H atoms. There are a spread of Na–H bond distances ranging from 2.24–2.46 Å. In the twentieth Na site, Na is bonded in a 1-coordinate geometry to three H atoms. There are a spread of Na–H bond distances ranging from 2.44–2.61 Å. In the twenty-first Na site, Na is bonded in a 4-coordinate geometry to four H atoms. There are a spread of Na–H bond distances ranging from 2.35–2.49 Å. In the twenty-second Na site, Na is bonded in a 4-coordinate geometry to four H atoms. There are a spread of Na–H bond distances ranging from 2.28–2.43 Å. In the twenty-third Na site, Na is bonded in a distorted bent 120 degrees geometry to two H atoms. There are one shorter (2.34 Å) and one longer (2.41 Å) Na–H bond lengths. In the twenty-fourth Na site, Na is bonded in a 4-coordinate geometry to four H atoms. There are a spread of Na–H bond distances ranging from 2.33–2.40 Å. In the twenty-fifth Na site, Na is bonded in a distorted bent 120 degrees geometry to two H atoms. Both Na–H bond lengths are 2.39 Å. In the twenty-sixth Na site, Na is bonded in a distorted bent 120 degrees geometry to two H atoms. There are one shorter (2.40 Å) and one longer (2.44 Å) Na–H bond lengths. In the twenty-seventh Na site, Na is bonded in a distorted bent 120 degrees geometry to two H atoms. There are one shorter (2.44 Å) and one longer (2.46 Å) Na–H bond lengths. In the twenty-eighth Na site, Na is bonded in a 4-coordinate geometry to three H atoms. There are a spread of Na–H bond distances ranging from 2.35–2.55 Å. In the twenty-ninth Na site, Na is bonded in a distorted rectangular see-saw-like geometry to four H atoms. There are a spread of Na–H bond distances ranging from 2.26–2.38 Å. In the thirtieth Na site, Na is bonded in a 4-coordinate geometry to four H atoms. There are a spread of Na–H bond distances ranging from 2.29–2.41 Å. In the thirty-first Na site, Na is bonded in a 6-coordinate geometry to three Be and three H atoms. There are a spread of Na–Be bond distances ranging from 2.88–3.11 Å. There are a spread of Na–H bond distances ranging from 2.59–2.72 Å. In the thirty-second Na site, Na is bonded in a distorted bent 120 degrees geometry to two H atoms. There are one shorter (2.31 Å) and one longer (2.48 Å) Na–H bond lengths. In the thirty-third Na site, Na is bonded in a 3-coordinate geometry to three H atoms. There are a spread of Na–H bond distances ranging from 2.25–2.50 Å. In the thirty-fourth Na site, Na is bonded in a 4-coordinate geometry to four H atoms. There are a spread of Na–H bond distances ranging from 2.30–2.40 Å. In the thirty-fifth Na site, Na is bonded in a 4-coordinate geometry to four H atoms. There are a spread of Na–H bond distances ranging from 2.31–2.40 Å. In the thirty-sixth Na site, Na is bonded in a 2-coordinate geometry to two H atoms. There are one shorter (2.39 Å) and one longer (2.44 Å) Na–H bond lengths. In the thirty-seventh Na site, Na is bonded in a 4-coordinate geometry to four H atoms. There are a spread of Na–H bond distances ranging from 2.27–2.43 Å. In the thirty-eighth Na site, Na is bonded in a 4-coordinate geometry to four H atoms. There are a spread of Na–H bond distances ranging from 2.24–2.39 Å. In the thirty-ninth Na site, Na is bonded in a 4-coordinate geometry to four H atoms. There are a spread of Na–H bond distances ranging from 2.28–2.44 Å. In the fortieth Na site, Na is bonded in a distorted bent 120 degrees geometry to two H atoms. There are one shorter (2.31 Å) and one longer (2.38 Å) Na–H bond lengths. In the forty-first Na site, Na is bonded in a distorted bent 120 degrees geometry to two H atoms. There are one shorter (2.46 Å) and one longer (2.55 Å) Na–H bond lengths. In the forty-second Na site, Na is bonded in a 2-coordinate geometry to two H atoms. There are one shorter (2.44 Å) and one longer (2.56 Å) Na–H bond lengths. In the forty-third Na site, Na is bonded in a 4-coordinate geometry to four H atoms. There are a spread of Na–H bond distances ranging from 2.33–2.42 Å. In the forty-fourth Na site, Na is bonded in a 4-coordinate geometry to four H atoms. There are a spread of Na–H bond distances ranging from 2.32–2.39 Å. In the forty-fifth Na site, Na is bonded in a 4-coordinate geometry to four H atoms. There are a spread of Na–H bond distances ranging from 2.23–2.53 Å. In the forty-sixth Na site, Na is bonded in a distorted bent 120 degrees geometry to two H atoms. There are one shorter (2.43 Å) and one longer (2.44 Å) Na–H bond lengths. In the forty-seventh Na site, Na is bonded in a distorted bent 120 degrees geometry to two H atoms. There are one shorter (2.39 Å) and one longer (2.41 Å) Na–H bond lengths. In the forty-eighth Na site, Na is bonded in a distorted bent 120 degrees geometry to two H atoms. There are one shorter (2.39 Å) and one longer (2.40 Å) Na–H bond lengths. There are twenty-four inequivalent Be sites. In the first Be site, Be is bonded in a distorted bent 120 degrees geometry to one Na and two H atoms. There is one shorter (1.40 Å) and one longer (1.42 Å) Be–H bond length. In the second Be site, Be is bonded in a single-bond geometry to one Na and one H atom. The Be–H bond length is 1.43 Å. In the third Be site, Be is bonded in a single-bond geometry to one Na and one H atom. The Be–H bond length is 1.43 Å. In the fourth Be site, Be is bonded in a water-like geometry to two H atoms. Both Be–H bond lengths are 1.42 Å. In the fifth Be site, Be is bonded in a bent 120 degrees geometry to two H atoms. There is one shorter (1.41 Å) and one longer (1.42 Å) Be–H bond length. In the sixth Be site, Be is bonded in a bent 120 degrees geometry to two H atoms. There is one shorter (1.41 Å) and one longer (1.42 Å) Be–H bond length. In the seventh Be site, Be is bonded in a single-bond geometry to one Na and one H atom. The Be–H bond length is 1.43 Å. In the eighth Be site, Be is bonded in a distorted bent 120 degrees geometry to one Na and two H atoms. There is one shorter (1.41 Å) and one longer (1.42 Å) Be–H bond length. In the ninth Be site, Be is bonded in a water-like geometry to two H atoms. There is one shorter (1.41 Å) and one longer (1.42 Å) Be–H bond length. In the tenth Be site, Be is bonded in a bent 120 degrees geometry to two H atoms. Both Be–H bond lengths are 1.42 Å. In the eleventh Be site, Be is bonded in a bent 120 degrees geometry to two H atoms. There is one shorter (1.41 Å) and one longer (1.42 Å) Be–H bond length. In the twelfth Be site, Be is bonded in a water-like geometry to two H atoms. There is one shorter (1.41 Å) and one longer (1.42 Å) Be–H bond length. In the thirteenth Be site, Be is bonded in a distorted water-like geometry to two H atoms. Both Be–H bond lengths are 1.42 Å. In the fourteenth Be site, Be is bonded in a water-like geometry to two H atoms. Both Be–H bond lengths are 1.42 Å. In the fifteenth Be site, Be is bonded in a water-like geometry to two H atoms. There is one shorter (1.41 Å) and one longer (1.42 Å) Be–H bond length. In the sixteenth Be site, Be is bonded in a bent 120 degrees geometry to two H atoms. There is one shorter (1.41 Å) and one longer (1.42 Å) Be–H bond length. In the seventeenth Be site, Be is bonded in a water-like geometry to one Na and two H atoms. There is one shorter (1.41 Å) and one longer (1.42 Å) Be–H bond length. In the eighteenth Be site, Be is bonded in a bent 120 degrees geometry to two H atoms. There is one shorter (1.41 Å) and one longer (1.42 Å) Be–H bond length. In the nineteenth Be site, Be is bonded in a water-like geometry to two H atoms. There is one shorter (1.41 Å) and one longer (1.42 Å) Be–H bond length. In the twentieth Be site, Be is bonded in a bent 120 degrees geometry to two H atoms. Both Be–H bond lengths are 1.42 Å. In the twenty-first Be site, Be is bonded in a water-like geometry to two H atoms. Both Be–H bond lengths are 1.42 Å. In the twenty-second Be site, Be is bonded in a bent 120 degrees geometry to two H atoms. There is one shorter (1.41 Å) and one longer (1.42 Å) Be–H bond length. In the twenty-third Be site, Be is bonded in a water-like geometry to two H atoms. There is one shorter (1.41 Å) and one longer (1.42 Å) Be–H bond length. In the twenty-fourth Be site, Be is bonded in a water-like geometry to one Na and two H atoms. There is one shorter (1.41 Å) and one longer (1.42 Å) Be–H bond length. There are forty-five inequivalent H sites. In the first H site, H is bonded to three Na and one Be atom to form distorted corner-sharing HNa3Be tetrahedra. In the second H site, H is bonded in a 4-coordinate geometry to three Na and one Be atom. In the third H site, H is bonded in a 1-coordinate geometry to three Na and one Be atom. In the fourth H site, H is bonded to four Na and one Be atom to form distorted corner-sharing HNa4Be trigonal bipyramids. In the fifth H site, H is bonded in a 1-coordinate geometry to three Na and one Be atom. In the sixth H site, H is bonded in a distorted rectangular see-saw-like geometry to three Na and one Be atom. In the seventh H site, H is bonded in a distorted rectangular see-saw-li

36 MATERIALS SCIENCE↗

Materials Data on Ta27S50 by Materials Project

Ta27S50 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-seven inequivalent Ta+3.70+ sites. In the first Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Ta–S bond distances ranging from 2.46–2.55 Å. In the second Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Ta–S bond distances ranging from 2.45–2.53 Å. In the third Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.47–2.50 Å. In the fourth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.47–2.54 Å. In the fifth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ta–S bond distances ranging from 2.47–2.49 Å. In the sixth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Ta–S bond distances ranging from 2.46–2.54 Å. In the seventh Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted edge and face-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.46–2.51 Å. In the eighth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 44°. There are a spread of Ta–S bond distances ranging from 2.46–2.55 Å. In the ninth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 44°. There are a spread of Ta–S bond distances ranging from 2.46–2.53 Å. In the tenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 13°. There are two shorter (2.47 Å) and four longer (2.48 Å) Ta–S bond lengths. In the eleventh Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.47–2.54 Å. In the twelfth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 12°. There are a spread of Ta–S bond distances ranging from 2.46–2.49 Å. In the thirteenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.46–2.54 Å. In the fourteenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.47–2.55 Å. In the fifteenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Ta–S bond distances ranging from 2.46–2.55 Å. In the sixteenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 14–44°. There are a spread of Ta–S bond distances ranging from 2.45–2.52 Å. In the seventeenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted edge and face-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.46–2.51 Å. In the eighteenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 44°. There are a spread of Ta–S bond distances ranging from 2.46–2.53 Å. In the nineteenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.47–2.50 Å. In the twentieth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 13–45°. There are a spread of Ta–S bond distances ranging from 2.46–2.52 Å. In the twenty-first Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.47–2.55 Å. In the twenty-second Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 14°. There are a spread of Ta–S bond distances ranging from 2.46–2.49 Å. In the twenty-third Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.38–2.62 Å. In the twenty-fourth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 44°. There are a spread of Ta–S bond distances ranging from 2.47–2.55 Å. In the twenty-fifth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 46°. There are a spread of Ta–S bond distances ranging from 2.46–2.53 Å. In the twenty-sixth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Ta–S bond distances ranging from 2.46–2.54 Å. In the twenty-seventh Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.38–2.60 Å. There are fifty inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the second S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the third S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the fourth S2- site, S2- is bonded to four Ta+3.70+ atoms to form distorted edge-sharing STa4 trigonal pyramids. In the fifth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the sixth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the seventh S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the eighth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the tenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the eleventh S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the twelfth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Ta+3.70+ atoms. In the thirteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the fourteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the fifteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the sixteenth S2- site, S2- is bonded to four Ta+3.70+ atoms to form distorted edge-sharing STa4 trigonal pyramids. In the seventeenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the eighteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Ta+3.70+ atoms. In the nineteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the twentieth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the twenty-first S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the twenty-second S2- site, S2- is bonded to four Ta+3.70+ atoms to form distorted edge-sharing STa4 trigonal pyramids. In the twenty-third S2- site, S2- is bonded to four Ta+3.70+ atoms to form distorted edge-sharing STa4 trigonal pyramids. In the twenty-fourth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the twenty-fifth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the twenty-sixth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the twenty-seventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the twenty-eighth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the twenty-ninth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the thirtieth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the thirty-first S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the thirty-second S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the thirty-third S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the thirty-fourth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the thirty-fifth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the thirty-sixth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Ta+3.70+ atoms. In the thirty-seventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Ta+3.70+ atoms. In the thirty-eighth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the thirty-ninth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the fortieth S2- site, S2- is bonded to four Ta+3.70+ atoms to form distorted edge-sharing STa4 trigonal pyramids. In the forty-first S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the forty-second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Ta+3.70+ atoms. In the forty-third S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the forty-fourth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the forty-fifth S2- site, S2- is bonded to four Ta+3.70+ atoms to form distorted edge-sharing STa4 trigonal pyramids. In the forty-sixth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the forty-seventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the forty-eighth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the forty-ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the fiftieth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Ta+3.70+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on B4C by Materials Project

B4C crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fifty-six inequivalent B sites. In the first B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.62–2.06 Å. In the second B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.68–1.92 Å. In the third B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.68–1.99 Å. In the fourth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.63–2.03 Å. In the fifth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.66–1.90 Å. In the sixth B site, B is bonded in a distorted single-bond geometry to two B and one C atom. The B–B bond length is 1.69 Å. The B–C bond length is 1.59 Å. In the seventh B site, B is bonded in a distorted single-bond geometry to three B and one C atom. The B–B bond length is 1.85 Å. The B–C bond length is 1.71 Å. In the eighth B site, B is bonded in a distorted single-bond geometry to two B and one C atom. The B–C bond length is 1.67 Å. In the ninth B site, B is bonded in a single-bond geometry to three B and one C atom. The B–B bond length is 1.72 Å. The B–C bond length is 1.38 Å. In the tenth B site, B is bonded in a 6-coordinate geometry to five B and one C atom. There are a spread of B–B bond distances ranging from 1.68–1.91 Å. The B–C bond length is 2.03 Å. In the eleventh B site, B is bonded in a distorted single-bond geometry to two B and one C atom. The B–B bond length is 1.87 Å. The B–C bond length is 1.72 Å. In the twelfth B site, B is bonded in a distorted bent 120 degrees geometry to three B and two C atoms. There are a spread of B–B bond distances ranging from 1.68–1.98 Å. Both B–C bond lengths are 1.59 Å. In the thirteenth B site, B is bonded in a single-bond geometry to one B and one C atom. The B–B bond length is 1.73 Å. The B–C bond length is 1.38 Å. In the fourteenth B site, B is bonded in a 1-coordinate geometry to five B and one C atom. There are a spread of B–B bond distances ranging from 1.69–1.86 Å. The B–C bond length is 1.81 Å. In the fifteenth B site, B is bonded in a distorted bent 120 degrees geometry to three B and two C atoms. The B–B bond length is 1.84 Å. There is one shorter (1.39 Å) and one longer (1.68 Å) B–C bond length. In the sixteenth B site, B is bonded in a distorted single-bond geometry to three B and one C atom. There is one shorter (1.64 Å) and one longer (2.01 Å) B–B bond length. The B–C bond length is 1.58 Å. In the seventeenth B site, B is bonded in a 1-coordinate geometry to four B and two C atoms. The B–B bond length is 1.66 Å. There is one shorter (1.72 Å) and one longer (1.81 Å) B–C bond length. In the eighteenth B site, B is bonded in a 6-coordinate geometry to five B and one C atom. There are a spread of B–B bond distances ranging from 1.64–1.85 Å. The B–C bond length is 2.00 Å. In the nineteenth B site, B is bonded in a distorted single-bond geometry to two B and one C atom. The B–B bond length is 1.78 Å. The B–C bond length is 1.59 Å. In the twentieth B site, B is bonded in a distorted single-bond geometry to two B and one C atom. The B–C bond length is 1.72 Å. In the twenty-first B site, B is bonded in a single-bond geometry to two B and one C atom. The B–B bond length is 1.89 Å. The B–C bond length is 1.38 Å. In the twenty-second B site, B is bonded in a 1-coordinate geometry to two B and one C atom. The B–B bond length is 1.69 Å. The B–C bond length is 1.65 Å. In the twenty-third B site, B is bonded in a distorted bent 120 degrees geometry to three B and two C atoms. There is one shorter (1.74 Å) and one longer (1.84 Å) B–B bond length. There is one shorter (1.39 Å) and one longer (1.67 Å) B–C bond length. In the twenty-fourth B site, B is bonded in a 1-coordinate geometry to four B and two C atoms. There is one shorter (1.67 Å) and one longer (1.88 Å) B–B bond length. There is one shorter (1.74 Å) and one longer (1.83 Å) B–C bond length. In the twenty-fifth B site, B is bonded in a distorted single-bond geometry to two B and two C atoms. The B–B bond length is 1.62 Å. There is one shorter (1.59 Å) and one longer (1.95 Å) B–C bond length. In the twenty-sixth B site, B is bonded in a distorted single-bond geometry to three B and one C atom. The B–B bond length is 2.04 Å. The B–C bond length is 1.66 Å. In the twenty-seventh B site, B is bonded in a 1-coordinate geometry to five B and one C atom. The B–C bond length is 1.81 Å. In the twenty-eighth B site, B is bonded in a 6-coordinate geometry to five B and one C atom. There are a spread of B–B bond distances ranging from 1.61–1.86 Å. The B–C bond length is 2.00 Å. In the twenty-ninth B site, B is bonded in a distorted bent 120 degrees geometry to one B and two C atoms. The B–B bond length is 1.86 Å. There is one shorter (1.62 Å) and one longer (1.72 Å) B–C bond length. In the thirtieth B site, B is bonded in a distorted single-bond geometry to one B and one C atom. The B–C bond length is 1.58 Å. In the thirty-first B site, B is bonded in a single-bond geometry to two B and one C atom. There is one shorter (1.73 Å) and one longer (1.93 Å) B–B bond length. The B–C bond length is 1.38 Å. In the thirty-second B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.67–2.00 Å. In the thirty-third B site, B is bonded in a distorted single-bond geometry to two B and one C atom. The B–B bond length is 1.69 Å. The B–C bond length is 1.64 Å. In the thirty-fourth B site, B is bonded in a 1-coordinate geometry to two B and two C atoms. The B–B bond length is 1.73 Å. There is one shorter (1.39 Å) and one longer (1.84 Å) B–C bond length. In the thirty-fifth B site, B is bonded in a distorted single-bond geometry to three B and one C atom. There is one shorter (1.67 Å) and one longer (1.85 Å) B–B bond length. The B–C bond length is 1.71 Å. In the thirty-sixth B site, B is bonded in a distorted single-bond geometry to two B and one C atom. The B–C bond length is 1.58 Å. In the thirty-seventh B site, B is bonded in a 6-coordinate geometry to six B atoms. The B–B bond length is 2.08 Å. In the thirty-eighth B site, B is bonded in a distorted single-bond geometry to two B and one C atom. The B–C bond length is 1.67 Å. In the thirty-ninth B site, B is bonded in a distorted bent 120 degrees geometry to one B and two C atoms. The B–B bond length is 1.86 Å. There is one shorter (1.63 Å) and one longer (1.72 Å) B–C bond length. In the fortieth B site, B is bonded in a distorted single-bond geometry to two B and one C atom. The B–C bond length is 1.57 Å. In the forty-first B site, B is bonded in a single-bond geometry to one B and one C atom. The B–B bond length is 1.73 Å. The B–C bond length is 1.38 Å. In the forty-second B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.69–1.98 Å. In the forty-third B site, B is bonded in a 1-coordinate geometry to two B and two C atoms. The B–B bond length is 1.72 Å. There is one shorter (1.39 Å) and one longer (1.85 Å) B–C bond length. In the forty-fourth B site, B is bonded in a distorted single-bond geometry to two B and one C atom. The B–B bond length is 1.86 Å. The B–C bond length is 1.71 Å. In the forty-fifth B site, B is bonded in a 2-coordinate geometry to two B and two C atoms. The B–B bond length is 1.61 Å. There is one shorter (1.59 Å) and one longer (1.73 Å) B–C bond length. In the forty-sixth B site, B is bonded in a 6-coordinate geometry to six B atoms. The B–B bond length is 2.06 Å. In the forty-seventh B site, B is bonded in a 6-coordinate geometry to six B atoms. In the forty-eighth B site, B is bonded in a single-bond geometry to two B and one C atom. The B–B bond length is 1.73 Å. The B–C bond length is 1.38 Å. In the forty-ninth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.71–1.98 Å. In the fiftieth B site, B is bonded in a 2-coordinate geometry to two B and two C atoms. The B–B bond length is 1.62 Å. There is one shorter (1.59 Å) and one longer (1.71 Å) B–C bond length. In the fifty-first B site, B is bonded in a distorted single-bond geometry to two B and one C atom. The B–B bond length is 1.86 Å. The B–C bond length is 1.70 Å. In the fifty-second B site, B is bonded in a distorted single-bond geometry to two B and one C atom. The B–B bond length is 2.07 Å. The B–C bond length is 1.67 Å. In the fifty-third B site, B is bonded in a 6-coordinate geometry to six B atoms. In the fifty-fourth B site, B is bonded in a 6-coordinate geometry to six B atoms. There is one shorter (1.71 Å) and one longer (1.84 Å) B–B bond length. In the fifty-fifth B site, B is bonded in a 6-coordinate geometry to six B atoms. The B–B bond length is 2.08 Å. In the fifty-sixth B site, B is bonded in a distorted single-bond geometry to two B and one C atom. The B–C bond length is 1.67 Å. There are fourteen inequivalent C sites. In the first C site, C is bonded in a trigonal planar geometry to three B atoms. In the second C site, C is bonded in a 6-coordinate geometry to six B atoms. In the third C site, C is bonded in a trigonal planar geometry to three B atoms. In the fourth C site, C is bonded in a trigonal planar geometry to three B atoms. In the fifth C site, C is bonded in a 6-coordinate geometry to six B atoms. In the sixth C site, C is bonded in a 6-coordinate geometry to six B atoms. In the seventh C site, C is bonded in a trigonal planar geometry to three B atoms. In the eighth C site, C is bonded in a trigonal planar geometry to three B atoms. In the ninth C site, C is bonded in a 6-coordinate geometry to six B atoms. In the tenth C site, C is bonded in a trigonal planar geometry to three B atoms. In the eleventh C site, C is bonded in a trigonal planar geometry to three B atoms. In the twelfth C site, C is bonded in a trigonal planar geometry to three B atoms. In the thirteenth C site, C is bonded in a trigonal planar geometry to three B atoms. In the fourteenth C site, C is bonded in a trigonal planar geometry to three B atoms.

36 MATERIALS SCIENCE↗

Materials Data on Zr3TlF15 by Materials Project

TlZr3F15 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Zr–F bond distances ranging from 2.13–2.17 Å. In the second Zr4+ site, Zr4+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Zr–F bond distances ranging from 2.13–2.16 Å. In the third Zr4+ site, Zr4+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Zr–F bond distances ranging from 2.06–2.30 Å. In the fourth Zr4+ site, Zr4+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Zr–F bond distances ranging from 2.14–2.16 Å. In the fifth Zr4+ site, Zr4+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Zr–F bond distances ranging from 2.06–2.27 Å. In the sixth Zr4+ site, Zr4+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Zr–F bond distances ranging from 2.12–2.25 Å. In the seventh Zr4+ site, Zr4+ is bonded in an octahedral geometry to six F1- atoms. There are a spread of Zr–F bond distances ranging from 2.01–2.06 Å. In the eighth Zr4+ site, Zr4+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Zr–F bond distances ranging from 2.14–2.17 Å. In the ninth Zr4+ site, Zr4+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Zr–F bond distances ranging from 2.08–2.18 Å. In the tenth Zr4+ site, Zr4+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Zr–F bond distances ranging from 2.13–2.16 Å. In the eleventh Zr4+ site, Zr4+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Zr–F bond distances ranging from 2.08–2.19 Å. In the twelfth Zr4+ site, Zr4+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Zr–F bond distances ranging from 2.07–2.18 Å. There are four inequivalent Tl3+ sites. In the first Tl3+ site, Tl3+ is bonded in an octahedral geometry to six F1- atoms. All Tl–F bond lengths are 2.19 Å. In the second Tl3+ site, Tl3+ is bonded in an octahedral geometry to six F1- atoms. All Tl–F bond lengths are 2.19 Å. In the third Tl3+ site, Tl3+ is bonded in an octahedral geometry to six F1- atoms. There are two shorter (2.18 Å) and four longer (2.19 Å) Tl–F bond lengths. In the fourth Tl3+ site, Tl3+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Tl–F bond distances ranging from 2.24–2.32 Å. There are sixty inequivalent F1- sites. In the first F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the second F1- site, F1- is bonded in a linear geometry to two Zr4+ atoms. In the third F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the fourth F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the fifth F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the sixth F1- site, F1- is bonded in a linear geometry to two Zr4+ atoms. In the seventh F1- site, F1- is bonded in a linear geometry to two Zr4+ atoms. In the eighth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Zr4+ atoms. In the ninth F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the tenth F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the eleventh F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the twelfth F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the thirteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the fourteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the fifteenth F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the sixteenth F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the seventeenth F1- site, F1- is bonded in a linear geometry to two Zr4+ atoms. In the eighteenth F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the nineteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the twentieth F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the twenty-first F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the twenty-second F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the twenty-third F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the twenty-fourth F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the twenty-fifth F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the twenty-sixth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Zr4+ atoms. In the twenty-seventh F1- site, F1- is bonded in a linear geometry to two Zr4+ atoms. In the twenty-eighth F1- site, F1- is bonded in a linear geometry to one Zr4+ and one Tl3+ atom. In the twenty-ninth F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the thirtieth F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the thirty-first F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the thirty-second F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the thirty-third F1- site, F1- is bonded in a linear geometry to two Zr4+ atoms. In the thirty-fourth F1- site, F1- is bonded in a linear geometry to two Zr4+ atoms. In the thirty-fifth F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the thirty-sixth F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the thirty-seventh F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the thirty-eighth F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the thirty-ninth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the fortieth F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the forty-first F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the forty-second F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the forty-third F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the forty-fourth F1- site, F1- is bonded in a linear geometry to two Zr4+ atoms. In the forty-fifth F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the forty-sixth F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the forty-seventh F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the forty-eighth F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the forty-ninth F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the fiftieth F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the fifty-first F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the fifty-second F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the fifty-third F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the fifty-fourth F1- site, F1- is bonded in a linear geometry to two Zr4+ atoms. In the fifty-fifth F1- site, F1- is bonded in a linear geometry to two Zr4+ atoms. In the fifty-sixth F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the fifty-seventh F1- site, F1- is bonded in a bent 150 degrees geometry to one Zr4+ and one Tl3+ atom. In the fifty-eighth F1- site, F1- is bonded in a bent 150 degrees geometry to two Zr4+ atoms. In the fifty-ninth F1- site, F1- is bonded in a linear geometry to one Zr4+ and one Tl3+ atom. In the sixtieth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to one Zr4+ and one Tl3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Sc11Nb3O24 by Materials Project

Sc11Nb3O24 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-two 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 2.08–2.67 Å. In the second 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 2.05–2.20 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 2.07–2.65 Å. In the fourth Sc3+ site, Sc3+ is bonded to seven O2- atoms to form distorted ScO7 pentagonal bipyramids that share a cornercorner with one NbO6 octahedra and an edgeedge with one NbO6 octahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Sc–O bond distances ranging from 2.04–2.46 Å. In the fifth 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 2.06–2.25 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 2.08–2.66 Å. In the seventh 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 2.07–2.23 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 2.06–2.21 Å. In the ninth Sc3+ site, Sc3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing ScO6 octahedra. There are a spread of Sc–O bond distances ranging from 2.08–2.15 Å. In the tenth Sc3+ site, Sc3+ is bonded to seven O2- atoms to form a mixture of distorted corner and edge-sharing ScO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 49°. There are a spread of Sc–O bond distances ranging from 2.04–2.41 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 2.07–2.20 Å. In the twelfth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.06–2.20 Å. In the thirteenth Sc3+ site, Sc3+ is bonded to seven O2- atoms to form distorted ScO7 pentagonal bipyramids that share a cornercorner with one NbO6 octahedra and an edgeedge with one NbO6 octahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Sc–O bond distances ranging from 2.04–2.45 Å. In the fourteenth 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 2.10–2.69 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 2.07–2.63 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 2.09–2.68 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 2.08–2.60 Å. In the eighteenth 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 2.03–2.24 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 2.06–2.68 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 2.11–2.67 Å. In the twenty-first 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 2.06–2.18 Å. In the twenty-second 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 2.09–2.28 Å. There are six inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one ScO7 pentagonal bipyramid and an edgeedge with one ScO7 pentagonal bipyramid. There are a spread of Nb–O bond distances ranging from 1.96–2.08 Å. In the second Nb5+ site, Nb5+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Nb–O bond distances ranging from 1.97–2.38 Å. In the third Nb5+ site, Nb5+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.93–2.18 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one ScO7 pentagonal bipyramid and an edgeedge with one ScO7 pentagonal bipyramid. There are a spread of Nb–O bond distances ranging from 1.95–2.11 Å. In the fifth Nb5+ site, Nb5+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Nb–O bond distances ranging from 1.98–2.55 Å. In the sixth Nb5+ site, Nb5+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Nb–O bond distances ranging from 1.96–2.50 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Nb5+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to four Sc3+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Sc3+ and two Nb5+ atoms. In the fourth O2- site, O2- is bonded to three Sc3+ and one Nb5+ atom to form a mixture of distorted corner and edge-sharing OSc3Nb tetrahedra. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Nb5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and one Nb5+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Sc3+ and one Nb5+ atom. In the eighth O2- site, O2- is bonded to three Sc3+ and one Nb5+ atom to form distorted OSc3Nb tetrahedra that share corners with five OSc4 tetrahedra, a cornercorner with one OSc3Nb trigonal pyramid, edges with two OSc4 tetrahedra, and an edgeedge with one OSc3Nb trigonal pyramid. In the ninth O2- site, O2- is bonded to three Sc3+ and one Nb5+ atom to form a mixture of distorted corner and edge-sharing OSc3Nb trigonal pyramids. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and one Nb5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Sc3+ and two Nb5+ atoms. In the twelfth O2- site, O2- is bonded to three Sc3+ and one Nb5+ atom to form a mixture of distorted corner and edge-sharing OSc3Nb tetrahedra. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Sc3+ and one Nb5+ atom. In the fourteenth O2- site, O2- is bonded to four Sc3+ atoms to form a mixture of corner and edge-sharing OSc4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Sc3+ atoms to form a mixture of corner and edge-sharing OSc4 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Nb5+ atom. In the seventeenth O2- site, O2- is bonded to three Sc3+ and one Nb5+ atom to form distorted OSc3Nb tetrahedra that share corners with six OSc4 tetrahedra, a cornercorner with one OSc3Nb trigonal pyramid, and edges with three OSc3Nb tetrahedra. In the eighteenth O2- site, O2- is bonded to four Sc3+ atoms to form OSc4 tetrahedra that share corners with six OSc3Nb tetrahedra, edges with two OSc4 tetrahedra, and an edgeedge with one OSc3Nb trigonal pyramid. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Sc3+ and one Nb5+ atom. In the twentieth O2- site, O2- is bonded to four Sc3+ atoms to form distorted OSc4 tetrahedra that share corners with six OSc3Nb tetrahedra and edges with three OSc4 tetrahedra. In the twenty-first O2- site, O2- is bonded to three Sc3+ and one Nb5+ atom to form a mixture of distorted corner and edge-sharing OSc3Nb tetrahedra. In the twenty-second O2- site, O2- is bonded to four Sc3+ atoms to form OSc4 tetrahedra that share corners with five OSc3Nb tetrahedra, a cornercorner with one OSc3Nb trigonal pyramid, and edges with three OSc4 tetrahedra. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and one Nb5+ atom. In the twenty-fourth O2- site, O2- is bonded to three Sc3+ and one Nb5+ atom to form a mixture of distorted corner and edge-sharing OSc3Nb trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to four Sc3+ atoms to form a mixture of distorted corner and edge-sharing OSc4 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to three Sc3+ and one Nb5+ atom to form a mixture of distorted corner and edge-sharing OSc3Nb tetrahedra. In the twenty-seventh O2- site, O2- is bonded to three Sc3+ and one Nb5+ atom to form OSc3Nb tetrahedra that share corners with five OSc3Nb tetrahedra, a cornercorner with one OSc3Nb trigonal pyramid, edges with two OSc4 tetrahedra, and an edgeedge with one OSc3Nb trigonal pyramid. In the twenty-eighth O2- site, O2- is bonded to four Sc3+ atoms to form a mixture of corner and edge-sharing OSc4 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to four Sc3+ atoms to form a mixture of corner and edge-sharing OSc4 tetrahedra. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and one Nb5+ atom. In the thirty-first O2- site, O2- is bonded to four Sc3+ atoms to form a mixture of distorted corner and edge-sharing OSc4 tetrahedra. In the thirty-second O2- site, O2- is bonded to four Sc3+ atoms to form distorted OSc4 tetrahedra that share corners with seven OSc3Nb tetrahedra and edges with three OSc4 tetrahedra. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Nb5+ atom. In the thirty-fourth O2- site, O2- is bonded to four Sc3+ atoms to form distorted OSc4 tetrahedra that share corners with six OSc3Nb tetrahedra and edges with three OSc4 tetrahedra. In the thirty-fifth O2- site, O2- is bonded to three Sc3+ and one Nb5+ atom to form distorted OSc3Nb tetrahedra that share corners with four OSc4 tetrahedra, corners with two equivalent OSc3Nb trigonal pyramids, and edges with three OSc3Nb tetrahedra. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Nb5+ atom. In the thirty-seventh O2- site, O2- is bonded to three Sc3+ and one Nb5+ atom to form a mixture of distorted corner and edge-sharing OSc3Nb tetrahedra. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Nb5+ atom. In the thirty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Nb5+ atoms. In the fortieth O2- site, O2- is bonded to three Sc3+ and one Nb5+ atom to form a mixture of distorted corner and edge-sharing OSc3Nb tetrahedra. In the forty-first O2- site, O2- is bonded to four Sc3+ atoms to form a mixture of distorted corner and edge-sharing OSc4 tetrahedra. In the forty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Nb5+ atom. In the forty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Nb5+ atoms. In the forty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and one Nb5+ atom. In the forty-fifth O2- site, O2- is bonded to three Sc3+ and one Nb5+ atom to form a mixture of distorted corner and edge-sharing OSc3Nb tetrahedra. In the forty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and one Nb5+ atom. In the forty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Nb5+ atom. In the forty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Nb5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Y6Zr22O53 by Materials Project

Y6Zr22O53 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are six inequivalent Y sites. In the first Y site, Y is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.20–2.60 Å. In the second Y site, Y is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.22–2.60 Å. In the third Y site, Y is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Y–O bond distances ranging from 2.13–2.45 Å. In the fourth Y site, Y is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.22–2.60 Å. In the fifth Y site, Y is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Y–O bond distances ranging from 2.12–2.44 Å. In the sixth Y site, Y is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Y–O bond distances ranging from 2.07–2.40 Å. There are twenty-two inequivalent Zr sites. In the first Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.43 Å. In the second Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.47 Å. In the third Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.45 Å. In the fourth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.48 Å. In the fifth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.47 Å. In the sixth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.47 Å. In the seventh Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.48 Å. In the eighth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the ninth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.40 Å. In the tenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.11–2.48 Å. In the eleventh Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.50 Å. In the twelfth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.51 Å. In the thirteenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.51 Å. In the fourteenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.51 Å. In the fifteenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.48 Å. In the sixteenth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.16–2.40 Å. In the seventeenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.51 Å. In the eighteenth Zr site, Zr is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Zr–O bond distances ranging from 2.01–2.37 Å. In the nineteenth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.20–2.32 Å. In the twentieth Zr site, Zr is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Zr–O bond distances ranging from 2.00–2.36 Å. In the twenty-first Zr site, Zr is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Zr–O bond distances ranging from 2.01–2.37 Å. In the twenty-second Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.19–2.33 Å. There are fifty-three inequivalent O sites. In the first O site, O is bonded to four Zr atoms to form distorted OZr4 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OZr4 tetrahedra. In the second O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the third O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fourth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fifth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the sixth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the seventh O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the eighth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the ninth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the tenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the eleventh O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twelfth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirteenth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fourteenth O site, O is bonded in a 4-coordinate geometry to two equivalent Y and two equivalent Zr atoms. In the fifteenth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the sixteenth O site, O is bonded in a 4-coordinate geometry to two equivalent Y and two equivalent Zr atoms. In the seventeenth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the eighteenth O site, O is bonded in a 4-coordinate geometry to two equivalent Y and two equivalent Zr atoms. In the nineteenth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of distorted edge and corner-sharing OY2Zr2 tetrahedra. In the twentieth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the twenty-first O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-second O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-third O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-fourth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-fifth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-sixth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the twenty-seventh O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the twenty-eighth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the twenty-ninth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirtieth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the thirty-first O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the thirty-second O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the thirty-third O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the thirty-fourth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-fifth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-sixth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-seventh O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-eighth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-ninth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fortieth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the forty-first O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the forty-second O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the forty-third O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the forty-fourth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the forty-fifth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the forty-sixth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the forty-seventh O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the forty-eighth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the forty-ninth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fiftieth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifty-first O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form OY2Zr2 tetrahedra that share corners with fourteen OY2Zr2 tetrahedra and edges with five OZr4 tetrahedra. In the fifty-second O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the fifty-third O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Y2Zr24O51 by Materials Project

Y2Zr24O51 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are two inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Y–O bond distances ranging from 2.16–2.42 Å. In the second Y3+ site, Y3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are two shorter (2.09 Å) and four longer (2.37 Å) Y–O bond lengths. There are twenty-four inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.17–2.33 Å. In the second Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.11–2.42 Å. In the third Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are four shorter (2.10 Å) and four longer (2.44 Å) Zr–O bond lengths. In the fourth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.46 Å. In the fifth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.46 Å. In the sixth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are four shorter (2.09 Å) and four longer (2.45 Å) Zr–O bond lengths. In the seventh Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the eighth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the ninth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the tenth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the eleventh Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.45 Å. In the twelfth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.43 Å. In the thirteenth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.20–2.27 Å. In the fourteenth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.39 Å. In the fifteenth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.44 Å. In the sixteenth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the seventeenth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the eighteenth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the nineteenth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the twentieth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the twenty-first Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the twenty-second Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.44 Å. In the twenty-third Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.44 Å. In the twenty-fourth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.43 Å. There are fifty-one inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Y3+ and two equivalent Zr4+ atoms to form OY2Zr2 tetrahedra that share corners with fourteen OZr4 tetrahedra and edges with five OY2Zr2 tetrahedra. In the second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the tenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twentieth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twenty-first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twenty-second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twenty-third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OZr4 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to two equivalent Y3+ and two equivalent Zr4+ atoms to form distorted OY2Zr2 tetrahedra that share corners with fourteen OZr4 tetrahedra and edges with five OY2Zr2 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirtieth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-fourth O2- site, O2- is bonded to four Zr4+ atoms to form OZr4 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OZr4 tetrahedra. In the thirty-fifth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fortieth O2- site, O2- is bonded to two equivalent Y3+ and two equivalent Zr4+ atoms to form a mixture of distorted corner and edge-sharing OY2Zr2 tetrahedra. In the forty-first O2- site, O2- is bonded to two equivalent Y3+ and two equivalent Zr4+ atoms to form OY2Zr2 tetrahedra that share corners with twelve OZr4 tetrahedra and edges with six OY4 tetrahedra. In the forty-second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-fifth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fiftieth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of corner and edge-sharing OY4 tetrahedra. In the fifty-first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Y5U2O12 by Materials Project

U2Y5O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent U+4.50+ sites. In the first U+4.50+ site, U+4.50+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of U–O bond distances ranging from 2.15–2.22 Å. In the second U+4.50+ site, U+4.50+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of U–O bond distances ranging from 2.15–2.19 Å. In the third U+4.50+ site, U+4.50+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of U–O bond distances ranging from 2.15–2.21 Å. In the fourth U+4.50+ site, U+4.50+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of U–O bond distances ranging from 2.17–2.64 Å. In the fifth U+4.50+ site, U+4.50+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of U–O bond distances ranging from 2.17–2.64 Å. In the sixth U+4.50+ site, U+4.50+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of U–O bond distances ranging from 2.15–2.21 Å. In the seventh U+4.50+ site, U+4.50+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of U–O bond distances ranging from 2.17–2.65 Å. In the eighth U+4.50+ site, U+4.50+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of U–O bond distances ranging from 2.18–2.66 Å. There are twenty inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.24–2.67 Å. In the second Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.24–2.67 Å. In the third Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.24–2.67 Å. In the fourth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.28–2.69 Å. In the fifth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.68 Å. In the sixth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.24–2.66 Å. In the seventh Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.28–2.70 Å. In the eighth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.67 Å. In the ninth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.26–2.73 Å. In the tenth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.25–2.69 Å. In the eleventh Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.27–2.71 Å. In the twelfth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.24–2.72 Å. In the thirteenth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.70 Å. In the fourteenth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.26–2.70 Å. In the fifteenth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.63 Å. In the sixteenth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.72 Å. In the seventeenth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.26–2.70 Å. In the eighteenth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.74 Å. In the nineteenth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.25–2.69 Å. In the twentieth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.28–2.71 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms. In the fourth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form a mixture of corner and edge-sharing OY3U tetrahedra. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the eighth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of corner and edge-sharing OY4 tetrahedra. In the ninth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form a mixture of corner and edge-sharing OY3U tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the twelfth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of corner and edge-sharing OY4 tetrahedra. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the fourteenth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of corner and edge-sharing OY4 tetrahedra. In the fifteenth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form OY3U tetrahedra that share corners with six OY4 tetrahedra and edges with three OY3U tetrahedra. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the seventeenth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing OY3U tetrahedra. In the eighteenth O2- site, O2- is bonded to four Y3+ atoms to form OY4 tetrahedra that share corners with six OY3U tetrahedra and edges with three OY4 tetrahedra. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the twentieth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of corner and edge-sharing OY4 tetrahedra. In the twenty-first O2- site, O2- is bonded to four Y3+ atoms to form a mixture of corner and edge-sharing OY4 tetrahedra. In the twenty-second O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form a mixture of corner and edge-sharing OY3U tetrahedra. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms. In the twenty-fourth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing OY3U tetrahedra. In the twenty-fifth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of corner and edge-sharing OY4 tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms. In the twenty-seventh O2- site, O2- is bonded to four Y3+ atoms to form OY4 tetrahedra that share corners with six OY3U tetrahedra and edges with three OY4 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form a mixture of corner and edge-sharing OY3U tetrahedra. In the twenty-ninth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form OY3U tetrahedra that share corners with six OY3U tetrahedra and edges with three OY4 tetrahedra. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the thirty-first O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing OY3U tetrahedra. In the thirty-second O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form a mixture of corner and edge-sharing OY3U tetrahedra. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms. In the thirty-fourth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form OY3U tetrahedra that share corners with six OY4 tetrahedra and edges with three OY3U tetrahedra. In the thirty-fifth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form a mixture of corner and edge-sharing OY3U tetrahedra. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the thirty-seventh O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form OY3U tetrahedra that share corners with six OY4 tetrahedra and edges with three OY3U tetrahedra. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms. In the thirty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms. In the fortieth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form OY3U tetrahedra that share corners with six OY4 tetrahedra and edges with three OY3U tetrahedra. In the forty-first O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing OY3U tetrahedra. In the forty-second O2- site, O2- is bonded in a 3-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the forty-third O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms. In the forty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms. In the forty-fifth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form a mixture of corner and edge-sharing OY3U tetrahedra. In the forty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms. In the forty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the forty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg(AlB14)2 by Materials Project

Mg(AlB14)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Mg sites. In the first Mg site, Mg is bonded in a 10-coordinate geometry to sixteen B atoms. There are a spread of Mg–B bond distances ranging from 2.33–2.91 Å. In the second Mg site, Mg is bonded in a 12-coordinate geometry to twelve B atoms. There are a spread of Mg–B bond distances ranging from 2.45–2.73 Å. There are four inequivalent Al sites. In the first Al site, Al is bonded in a 6-coordinate geometry to fourteen B atoms. There are a spread of Al–B bond distances ranging from 2.04–2.60 Å. In the second Al site, Al is bonded in a 12-coordinate geometry to twelve B atoms. There are a spread of Al–B bond distances ranging from 2.05–2.49 Å. In the third Al site, Al is bonded in a 6-coordinate geometry to fourteen B atoms. There are a spread of Al–B bond distances ranging from 2.08–2.61 Å. In the fourth Al site, Al is bonded in a 10-coordinate geometry to ten B atoms. There are a spread of Al–B bond distances ranging from 2.18–2.69 Å. There are fifty-six inequivalent B sites. In the first B site, B is bonded in a 7-coordinate geometry to one Mg and six B atoms. There are a spread of B–B bond distances ranging from 1.72–1.85 Å. In the second B site, B is bonded in a 7-coordinate geometry to one Al and six B atoms. There are a spread of B–B bond distances ranging from 1.78–1.84 Å. In the third B site, B is bonded in a 6-coordinate geometry to one Mg, one Al, and four B atoms. There are a spread of B–B bond distances ranging from 1.72–2.01 Å. In the fourth B site, B is bonded in a 6-coordinate geometry to one Mg, one Al, and four B atoms. There is one shorter (1.77 Å) and one longer (1.78 Å) B–B bond length. In the fifth B site, B is bonded in a 7-coordinate geometry to one Mg and six B atoms. There are a spread of B–B bond distances ranging from 1.77–1.84 Å. In the sixth B site, B is bonded in a 7-coordinate geometry to one Mg and six B atoms. There are a spread of B–B bond distances ranging from 1.76–1.85 Å. In the seventh B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.73–1.84 Å. In the eighth B site, B is bonded in a 8-coordinate geometry to one Mg, one Al, and six B atoms. There are a spread of B–B bond distances ranging from 1.77–1.84 Å. In the ninth B site, B is bonded in a 8-coordinate geometry to one Mg, one Al, and six B atoms. There are a spread of B–B bond distances ranging from 1.78–1.85 Å. In the tenth B site, B is bonded in a 7-coordinate geometry to one Mg and six B atoms. There are a spread of B–B bond distances ranging from 1.78–1.85 Å. In the eleventh B site, B is bonded in a 8-coordinate geometry to two Mg and six B atoms. There are a spread of B–B bond distances ranging from 1.78–1.85 Å. In the twelfth B site, B is bonded in a 6-coordinate geometry to one Mg, one Al, and six B atoms. There are a spread of B–B bond distances ranging from 1.73–1.81 Å. In the thirteenth B site, B is bonded in a 6-coordinate geometry to one Mg, one Al, and six B atoms. There are a spread of B–B bond distances ranging from 1.80–1.83 Å. In the fourteenth B site, B is bonded in a 7-coordinate geometry to one Al and six B atoms. There is one shorter (1.80 Å) and one longer (1.82 Å) B–B bond length. In the fifteenth B site, B is bonded in a 8-coordinate geometry to two Al and six B atoms. There are a spread of B–B bond distances ranging from 1.79–1.82 Å. In the sixteenth B site, B is bonded in a 6-coordinate geometry to one Mg and six B atoms. There are a spread of B–B bond distances ranging from 1.73–1.81 Å. In the seventeenth B site, B is bonded in a 6-coordinate geometry to one Mg and six B atoms. There are a spread of B–B bond distances ranging from 1.78–1.82 Å. In the eighteenth B site, B is bonded in a 7-coordinate geometry to one Mg and six B atoms. There is two shorter (1.76 Å) and one longer (1.85 Å) B–B bond length. In the nineteenth B site, B is bonded in a 7-coordinate geometry to one Mg and six B atoms. There are a spread of B–B bond distances ranging from 1.75–1.81 Å. In the twentieth B site, B is bonded in a 7-coordinate geometry to one Al and six B atoms. The B–B bond length is 1.77 Å. In the twenty-first B site, B is bonded in a 7-coordinate geometry to one Al and six B atoms. There is one shorter (1.76 Å) and one longer (1.79 Å) B–B bond length. In the twenty-second B site, B is bonded in a 7-coordinate geometry to one Al and six B atoms. The B–B bond length is 1.75 Å. In the twenty-third B site, B is bonded in a 7-coordinate geometry to one Al and six B atoms. There are a spread of B–B bond distances ranging from 1.74–1.84 Å. In the twenty-fourth B site, B is bonded in a 8-coordinate geometry to two Mg and six B atoms. There are a spread of B–B bond distances ranging from 1.80–1.84 Å. In the twenty-fifth B site, B is bonded in a 7-coordinate geometry to one Mg and six B atoms. There is three shorter (1.78 Å) and one longer (1.85 Å) B–B bond length. In the twenty-sixth B site, B is bonded in a 7-coordinate geometry to one Mg, two Al, and four B atoms. There is one shorter (1.75 Å) and one longer (2.05 Å) B–B bond length. In the twenty-seventh B site, B is bonded in a 7-coordinate geometry to one Mg, two Al, and four B atoms. There is one shorter (1.75 Å) and one longer (1.81 Å) B–B bond length. In the twenty-eighth B site, B is bonded in a 8-coordinate geometry to two Al and six B atoms. The B–B bond length is 1.79 Å. In the twenty-ninth B site, B is bonded in a 8-coordinate geometry to two Al and six B atoms. There are a spread of B–B bond distances ranging from 1.77–1.82 Å. In the thirtieth B site, B is bonded in a 6-coordinate geometry to two Al and four B atoms. There is one shorter (1.74 Å) and one longer (2.07 Å) B–B bond length. In the thirty-first B site, B is bonded in a 6-coordinate geometry to two Al and four B atoms. There is one shorter (1.75 Å) and one longer (1.80 Å) B–B bond length. In the thirty-second B site, B is bonded in a 7-coordinate geometry to one Mg and six B atoms. There is one shorter (1.75 Å) and one longer (1.81 Å) B–B bond length. In the thirty-third B site, B is bonded in a 7-coordinate geometry to one Al and six B atoms. There is two shorter (1.78 Å) and one longer (1.79 Å) B–B bond length. In the thirty-fourth B site, B is bonded in a 8-coordinate geometry to one Mg, one Al, and six B atoms. The B–B bond length is 1.81 Å. In the thirty-fifth B site, B is bonded in a 8-coordinate geometry to one Mg, one Al, and six B atoms. There are a spread of B–B bond distances ranging from 1.78–1.86 Å. In the thirty-sixth B site, B is bonded in a 7-coordinate geometry to one Al and six B atoms. There are a spread of B–B bond distances ranging from 1.78–1.84 Å. In the thirty-seventh B site, B is bonded in a 7-coordinate geometry to one Al and six B atoms. There are a spread of B–B bond distances ranging from 1.78–1.84 Å. In the thirty-eighth B site, B is bonded in a 7-coordinate geometry to one Mg and six B atoms. There are a spread of B–B bond distances ranging from 1.78–1.85 Å. In the thirty-ninth B site, B is bonded in a 7-coordinate geometry to one Al and six B atoms. There are a spread of B–B bond distances ranging from 1.79–1.82 Å. In the fortieth B site, B is bonded in a 7-coordinate geometry to one Al and six B atoms. There is one shorter (1.74 Å) and one longer (1.83 Å) B–B bond length. In the forty-first B site, B is bonded in a 7-coordinate geometry to one Al and six B atoms. There is one shorter (1.78 Å) and two longer (1.83 Å) B–B bond length. In the forty-second B site, B is bonded in a 8-coordinate geometry to two Al and six B atoms. There is one shorter (1.77 Å) and one longer (1.80 Å) B–B bond length. In the forty-third B site, B is bonded in a 7-coordinate geometry to one Al and six B atoms. There are a spread of B–B bond distances ranging from 1.76–1.83 Å. In the forty-fourth B site, B is bonded in a 6-coordinate geometry to one Al and six B atoms. There is one shorter (1.72 Å) and two longer (1.80 Å) B–B bond length. In the forty-fifth B site, B is bonded in a 6-coordinate geometry to one Al and six B atoms. There is one shorter (1.78 Å) and one longer (1.83 Å) B–B bond length. In the forty-sixth B site, B is bonded in a 7-coordinate geometry to one Al and six B atoms. There is two shorter (1.79 Å) and one longer (1.84 Å) B–B bond length. In the forty-seventh B site, B is bonded in a 7-coordinate geometry to one Mg and six B atoms. There is one shorter (1.77 Å) and two longer (1.81 Å) B–B bond length. In the forty-eighth B site, B is bonded in a 8-coordinate geometry to two Al and six B atoms. The B–B bond length is 1.78 Å. In the forty-ninth B site, B is bonded in a 8-coordinate geometry to two Al and six B atoms. Both B–B bond lengths are 1.79 Å. In the fiftieth B site, B is bonded in a 7-coordinate geometry to one Mg and six B atoms. In the fifty-first B site, B is bonded in a 7-coordinate geometry to one Al and six B atoms. The B–B bond length is 1.88 Å. In the fifty-second B site, B is bonded in a 7-coordinate geometry to one Mg and six B atoms. Both B–B bond lengths are 1.79 Å. In the fifty-third B site, B is bonded in a 6-coordinate geometry to two Al and four B atoms. There is one shorter (1.73 Å) and one longer (2.00 Å) B–B bond length. In the fifty-fourth B site, B is bonded in a 6-coordinate geometry to two Al and four B atoms. The B–B bond length is 1.82 Å. In the fifty-fifth B site, B is bonded in a 7-coordinate geometry to one Al and six B atoms. In the fifty-sixth B site, B is bonded in a 6-coordinate geometry to six B atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiMgAl3(SeO4)6 by Materials Project

LiMgAl3(SeO4)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first 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 1.98–2.51 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 1.96–2.06 Å. There are two inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SeO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.15 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SeO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.14 Å. There are six inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six SeO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.86–1.95 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six SeO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.87–1.96 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six SeO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.90–1.94 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six SeO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.86–1.97 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six SeO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.88–1.97 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six SeO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.90–1.96 Å. There are twelve inequivalent Se6+ sites. In the first Se6+ site, Se6+ is bonded to four O2- atoms to form SeO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 34–46°. There are a spread of Se–O bond distances ranging from 1.65–1.67 Å. In the second Se6+ site, Se6+ is bonded to four O2- atoms to form SeO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 34–43°. There are a spread of Se–O bond distances ranging from 1.64–1.68 Å. In the third Se6+ site, Se6+ is bonded to four O2- atoms to form SeO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 27–45°. There are a spread of Se–O bond distances ranging from 1.66–1.68 Å. In the fourth Se6+ site, Se6+ is bonded to four O2- atoms to form SeO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 34–45°. There are a spread of Se–O bond distances ranging from 1.64–1.69 Å. In the fifth Se6+ site, Se6+ is bonded to four O2- atoms to form SeO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 26–47°. There is two shorter (1.66 Å) and two longer (1.67 Å) Se–O bond length. In the sixth Se6+ site, Se6+ is bonded to four O2- atoms to form SeO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 25–50°. There are a spread of Se–O bond distances ranging from 1.65–1.68 Å. In the seventh Se6+ site, Se6+ is bonded to four O2- atoms to form SeO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 25–48°. There are a spread of Se–O bond distances ranging from 1.65–1.72 Å. In the eighth Se6+ site, Se6+ is bonded to four O2- atoms to form SeO4 tetrahedra that share corners with two MgO6 octahedra and corners with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 32–51°. There is two shorter (1.66 Å) and two longer (1.67 Å) Se–O bond length. In the ninth Se6+ site, Se6+ is bonded to four O2- atoms to form SeO4 tetrahedra that share corners with two MgO6 octahedra and corners with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 31–50°. There are a spread of Se–O bond distances ranging from 1.64–1.71 Å. In the tenth Se6+ site, Se6+ is bonded to four O2- atoms to form SeO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 34–46°. There are a spread of Se–O bond distances ranging from 1.64–1.69 Å. In the eleventh Se6+ site, Se6+ is bonded to four O2- atoms to form SeO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 33–44°. There are a spread of Se–O bond distances ranging from 1.65–1.68 Å. In the twelfth Se6+ site, Se6+ is bonded to four O2- atoms to form SeO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 31–44°. There are a spread of Se–O bond distances ranging from 1.66–1.68 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mg2+ and one Se6+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Al3+, and one Se6+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Al3+ and one Se6+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mg2+, and one Se6+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mg2+, and one Se6+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mg2+, and one Se6+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mg2+, and one Se6+ atom. In the thirty-first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mg2+, and one Se6+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mg2+, and one Se6+ atom. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the thirty-fourth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Al3+, and one Se6+ atom. In the thirty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mg2+ and one Se6+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mg2+ and one Se6+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Al3+ and one Se6+ atom. In the thirty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mg2+ and one Se6+ atom. In the fortieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mg2+, and one Se6+ atom. In the forty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Mg2+ and one Se6+ atom. In the forty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the forty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the forty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the forty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the forty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the forty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Se6+ atom. In the forty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Se6+ atom.

36 MATERIALS SCIENCE↗