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All sourcesNASA NTRSDOE OSTI
DOE OSTI2025

Considerations for Thermal Annealing of Zr-Alloy Cladding During Dry Storage

In January 2025, the U.S. Department of Energy (DOE) sponsored a technical workshop with fuel vendors that provided a forum for increased collaboration on backend fuel cycle research. The workshop reviewed observations of thermal annealing of irradiated zirconium alloys in simulated dry storage conditions and discussed implications to the industry’s interest in reducing wet storage to optimize operational flexibility and the expected trend of increasing discharge burnup (and decay heats), which could lead to an increase in dry storage temperatures. One approach to accommodate increased decay heats in dry storage is to increase the regulatory temperature limit during dry storage, which is now 400°C. However, this could lead to thermal annealing of the cladding, which will tend to increase creep rates, creep strains, and ductility while decreasing yield strength. These considerations are compounded by bonding between the pellet and cladding at high burnup, which results in the pellet carrying more load during fuel rod deformations, especially in bending, which is the dominant deformation phenomenon in canister drop analyses. Because the U.S. Nuclear Regulatory Commission (NRC) recommends yield strength as a primary failure criterion for accident analyses in storage and transportation, particularly for canister drop scenarios, the purpose of the workshop was to develop options for alternative failure criterion that could replace yield strength in canister drop analyses. Topics discussed were (1) the regulatory framework, (2) the effect of thermal annealing on microhardness and tensile properties of cladding materials, (3) the effect of thermal annealing on fuel rod failure during bending, bending fatigue, and pinch loading, and (4) an alternative failure criterion for canister drop analyses. This paper provides a summary of the key discussions and outcomes of the workshop

Cantonwine, Paul [ORNL] (ORCID:0009000522247033)↗
DOE OSTI2020

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↗
DOE OSTI2020

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↗
DOE OSTI2020

Materials Data on Zr32N17O39 by Materials Project

Zr32N17O39 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Zr sites. In the first Zr site, Zr is bonded to three N and four O atoms to form distorted ZrN3O4 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are two shorter (2.19 Å) and one longer (2.26 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.29 Å. In the second Zr site, Zr is bonded in a body-centered cubic geometry to one N and seven O atoms. The Zr–N bond length is 2.20 Å. There are a spread of Zr–O bond distances ranging from 2.19–2.35 Å. In the third Zr site, Zr is bonded to four N and two O atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN2O5 pentagonal bipyramids and edges with six ZrN3O4 pentagonal bipyramids. There are two shorter (2.15 Å) and two longer (2.17 Å) Zr–N bond lengths. There are one shorter (2.30 Å) and one longer (2.31 Å) Zr–O bond lengths. In the fourth 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 2.18–2.32 Å. In the fifth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.17 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.16–2.24 Å. In the sixth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 46°. There are one shorter (2.17 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.31 Å. In the seventh Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.16 Å) and one longer (2.25 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.24 Å. In the eighth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 52°. There are one shorter (2.16 Å) and one longer (2.25 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.25 Å. In the ninth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are one shorter (2.16 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the tenth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.16 Å) and one longer (2.24 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the eleventh Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are one shorter (2.17 Å) and one longer (2.20 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.30 Å. In the twelfth Zr site, Zr is bonded to three N and four O atoms to form distorted ZrN3O4 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 49°. There are a spread of Zr–N bond distances ranging from 2.18–2.23 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.31 Å. In the thirteenth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are one shorter (2.17 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.30 Å. In the fourteenth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are one shorter (2.16 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the fifteenth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.17 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the sixteenth Zr site, Zr is bonded to four N and two O atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. There are a spread of Zr–N bond distances ranging from 2.13–2.18 Å. There are one shorter (2.29 Å) and one longer (2.31 Å) Zr–O bond lengths. In the seventeenth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are four shorter (2.20 Å) and four longer (2.30 Å) Zr–O bond lengths. In the eighteenth 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 2.19–2.30 Å. In the nineteenth Zr site, Zr is bonded to four N and two O atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN3O4 pentagonal bipyramids and edges with six ZrN2O5 pentagonal bipyramids. There are a spread of Zr–N bond distances ranging from 2.14–2.18 Å. There are one shorter (2.29 Å) and one longer (2.31 Å) Zr–O bond lengths. In the twentieth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.16 Å) and one longer (2.24 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the twenty-first Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are one shorter (2.15 Å) and one longer (2.22 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.19–2.26 Å. In the twenty-second Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are one shorter (2.17 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.16–2.31 Å. In the twenty-third Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are one shorter (2.17 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.30 Å. In the twenty-fourth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are one shorter (2.17 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.16–2.30 Å. In the twenty-fifth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.17 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.24 Å. In the twenty-sixth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.16 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the twenty-seventh Zr site, Zr is bonded to three N and four O atoms to form distorted ZrN3O4 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of Zr–N bond distances ranging from 2.19–2.26 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.24 Å. In the twenty-eighth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. Th

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr23S32 by Materials Project

Zr23S32 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-three inequivalent Zr+2.78+ sites. In the first Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Zr–S bond distances ranging from 2.58–2.61 Å. In the second Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Zr–S bond distances ranging from 2.55–2.64 Å. In the third Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Zr–S bond distances ranging from 2.57–2.63 Å. In the fourth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Zr–S bond distances ranging from 2.61–2.70 Å. In the fifth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Zr–S bond distances ranging from 2.56–2.71 Å. In the sixth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Zr–S bond distances ranging from 2.55–2.64 Å. In the seventh Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Zr–S bond distances ranging from 2.57–2.61 Å. In the eighth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Zr–S bond distances ranging from 2.54–2.70 Å. In the ninth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Zr–S bond distances ranging from 2.58–2.64 Å. In the tenth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of Zr–S bond distances ranging from 2.53–2.68 Å. In the eleventh Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedral tilt angles are 5°. There are a spread of Zr–S bond distances ranging from 2.61–2.69 Å. In the twelfth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Zr–S bond distances ranging from 2.57–2.64 Å. In the thirteenth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Zr–S bond distances ranging from 2.56–2.62 Å. In the fourteenth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Zr–S bond distances ranging from 2.56–2.61 Å. In the fifteenth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Zr–S bond distances ranging from 2.54–2.63 Å. In the sixteenth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form edge-sharing ZrS6 octahedra. There are a spread of Zr–S bond distances ranging from 2.55–2.71 Å. In the seventeenth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Zr–S bond distances ranging from 2.57–2.72 Å. In the eighteenth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of Zr–S bond distances ranging from 2.57–2.65 Å. In the nineteenth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Zr–S bond distances ranging from 2.56–2.65 Å. In the twentieth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Zr–S bond distances ranging from 2.57–2.62 Å. In the twenty-first Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Zr–S bond distances ranging from 2.56–2.72 Å. In the twenty-second Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Zr–S bond distances ranging from 2.52–2.64 Å. In the twenty-third Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Zr–S bond distances ranging from 2.54–2.65 Å. There are thirty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a T-shaped geometry to three Zr+2.78+ atoms. In the second S2- site, S2- is bonded to five Zr+2.78+ atoms to form a mixture of edge and corner-sharing SZr5 square pyramids. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the fourth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the fifth S2- site, S2- is bonded to five Zr+2.78+ atoms to form a mixture of edge and corner-sharing SZr5 square pyramids. In the sixth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the seventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the eighth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the ninth S2- site, S2- is bonded to five Zr+2.78+ atoms to form a mixture of edge and corner-sharing SZr5 square pyramids. In the tenth S2- site, S2- is bonded to five Zr+2.78+ atoms to form a mixture of edge and corner-sharing SZr5 square pyramids. In the eleventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the twelfth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the thirteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the fourteenth S2- site, S2- is bonded to five Zr+2.78+ atoms to form SZr5 square pyramids that share corners with four equivalent SZr5 square pyramids, edges with two equivalent SZr6 octahedra, and edges with four SZr5 square pyramids. In the fifteenth S2- site, S2- is bonded to five Zr+2.78+ atoms to form SZr5 square pyramids that share a cornercorner with one SZr6 octahedra and edges with two SZr5 square pyramids. The corner-sharing octahedral tilt angles are 2°. In the sixteenth S2- site, S2- is bonded to six Zr+2.78+ atoms to form a mixture of edge and corner-sharing SZr6 octahedra. In the seventeenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the eighteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the nineteenth S2- site, S2- is bonded in a T-shaped geometry to three Zr+2.78+ atoms. In the twentieth S2- site, S2- is bonded to five Zr+2.78+ atoms to form SZr5 square pyramids that share corners with three SZr5 square pyramids, an edgeedge with one SZr6 octahedra, and edges with three SZr5 square pyramids. In the twenty-first S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the twenty-second S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the twenty-third S2- site, S2- is bonded to five Zr+2.78+ atoms to form SZr5 square pyramids that share corners with four equivalent SZr6 octahedra, corners with two SZr5 square pyramids, and edges with four SZr5 square pyramids. The corner-sharing octahedra tilt angles range from 3–4°. In the twenty-fourth S2- site, S2- is bonded in a distorted T-shaped geometry to three Zr+2.78+ atoms. In the twenty-fifth S2- site, S2- is bonded to five Zr+2.78+ atoms to form SZr5 square pyramids that share corners with four equivalent SZr5 square pyramids, edges with two equivalent SZr6 octahedra, and edges with four SZr5 square pyramids. In the twenty-sixth S2- site, S2- is bonded to five Zr+2.78+ atoms to form SZr5 square pyramids that share corners with three SZr5 square pyramids, an edgeedge with one SZr6 octahedra, and edges with three SZr5 square pyramids. In the twenty-seventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the twenty-eighth S2- site, S2- is bonded to five Zr+2.78+ atoms to form a mixture of edge and corner-sharing SZr5 square pyramids. In the twenty-ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Zr+2.78+ atoms. In the thirtieth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the thirty-first S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the thirty-second S2- site, S2- is bonded to five Zr+2.78+ atoms to form a mixture of edge and corner-sharing SZr5 square pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Y2Zr9O22 by Materials Project

Y2Zr9O22 is Fluorite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent Y sites. In the first Y site, Y is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.28–2.45 Å. In the second Y site, Y is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.29–2.44 Å. In the third Y site, Y is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.30–2.39 Å. In the fourth Y site, Y is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.30–2.43 Å. There are eighteen inequivalent Zr sites. In the first 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 2.13–2.36 Å. In the 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 2.13–2.35 Å. In the third 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 2.17–2.39 Å. In the fourth 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 2.15–2.31 Å. In the fifth 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 2.18–2.37 Å. In the sixth 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 2.18–2.33 Å. In the seventh 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 2.18–2.32 Å. In the eighth 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 2.18–2.45 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 2.15–2.35 Å. In the tenth 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 2.12–2.38 Å. In the eleventh 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 2.15–2.33 Å. In the twelfth 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 2.14–2.31 Å. In the thirteenth 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 2.17–2.27 Å. In the fourteenth 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 2.18–2.27 Å. In the fifteenth 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 2.13–2.36 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 2.16–2.44 Å. In the seventeenth 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 2.17–2.34 Å. In the eighteenth 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 2.18–2.33 Å. There are forty-four inequivalent O sites. In the first O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the second O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the third O site, O is bonded to two equivalent Y and two Zr atoms to form OY2Zr2 tetrahedra that share corners with sixteen OYZr3 tetrahedra and edges with six OY2Zr2 tetrahedra. In the fourth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the sixth O site, O is bonded to two equivalent Y and two Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the seventh O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eighth O site, O is bonded to four Zr atoms to form OZr4 tetrahedra that share corners with sixteen OYZr3 tetrahedra and edges with six OZr4 tetrahedra. In the ninth O site, O is bonded to four Zr atoms to form OZr4 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OY2Zr2 tetrahedra. In the tenth O site, O is bonded to four Zr atoms to form OZr4 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OYZr3 tetrahedra. In the eleventh O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the twelfth O site, O is bonded to four Zr atoms to form a mixture of 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 to one Y and three Zr atoms to form a mixture of edge and corner-sharing OYZr3 tetrahedra. In the fifteenth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the sixteenth O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OY2Zr2 tetrahedra. In the seventeenth O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OYZr3 tetrahedra and edges with six OY2Zr2 tetrahedra. In the eighteenth O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OYZr3 tetrahedra and edges with six OY2Zr2 tetrahedra. In the nineteenth O site, O is bonded to four Zr atoms to form OZr4 tetrahedra that share corners with sixteen OYZr3 tetrahedra and edges with six OZr4 tetrahedra. In the twentieth O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OYZr3 tetrahedra. In the twenty-first O site, O is bonded to four Zr atoms to form OZr4 tetrahedra that share corners with sixteen OYZr3 tetrahedra and edges with six OZr4 tetrahedra. In the twenty-second O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OYZr3 tetrahedra. In the twenty-third O site, O is bonded to one Y and three Zr atoms to form a mixture of edge and corner-sharing OYZr3 tetrahedra. In the twenty-fourth O site, O is bonded to one Y and three Zr atoms to form a mixture of edge and corner-sharing OYZr3 tetrahedra. In the twenty-fifth O site, O is bonded to one Y and three Zr atoms to form a mixture of edge and corner-sharing OYZr3 tetrahedra. In the twenty-sixth O site, O is bonded to one Y and three Zr atoms to form a mixture of edge and corner-sharing OYZr3 tetrahedra. In the twenty-seventh O site, O is bonded to one Y and three Zr atoms to form a mixture of edge and corner-sharing OYZr3 tetrahedra. In the twenty-eighth O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OYZr3 tetrahedra and edges with six OY2Zr2 tetrahedra. In the twenty-ninth O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OYZr3 tetrahedra. In the thirtieth O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OYZr3 tetrahedra. In the thirty-first O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OY2Zr2 tetrahedra. In the thirty-second O site, O is bonded to one Y and three Zr atoms to form a mixture of edge and corner-sharing OYZr3 tetrahedra. In the thirty-third O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the thirty-fourth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the thirty-fifth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the thirty-sixth O site, O is bonded to two equivalent Y and two Zr atoms to form OY2Zr2 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OY2Zr2 tetrahedra. In the thirty-seventh O site, O is bonded to four Zr atoms to form OZr4 tetrahedra that share corners with sixteen OYZr3 tetrahedra and edges with six OZr4 tetrahedra. In the thirty-eighth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the thirty-ninth O site, O is bonded to two equivalent Y and two Zr atoms to form OY2Zr2 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OYZr3 tetrahedra. In the fortieth O site, O is bonded to two equivalent Y and two Zr atoms to form OY2Zr2 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OYZr3 tetrahedra. In the forty-first O site, O is bonded to two equivalent Y and two Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the forty-second O site, O is bonded to two equivalent Y and two Zr atoms to form OY2Zr2 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OY2Zr2 tetrahedra. In the forty-third O site, O is bonded to two equivalent Y and two Zr atoms to form OY2Zr2 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OYZr3 tetrahedra. In the forty-fourth O site, O is bonded to four Zr atoms to form OZr4 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OZr4 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr19O40 by Materials Project

Zr19O40 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nineteen 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 2.10–2.42 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 2.07–2.50 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 2.09–2.43 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 2.08–2.47 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 2.07–2.47 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 2.10–2.43 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 2.09–2.43 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 2.09–2.47 Å. In the ninth 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 2.07–2.50 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 2.07–2.54 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 2.08–2.48 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 2.09–2.43 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 2.06–2.57 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 2.07–2.46 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 2.08–2.47 Å. In the sixteenth 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 2.07–2.49 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 2.07–2.45 Å. In the eighteenth 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 2.08–2.49 Å. In the nineteenth 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 2.08–2.51 Å. There are forty inequivalent O sites. In the first O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing 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 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 distorted edge and corner-sharing OZr4 tetrahedra. In the fourteenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fifteenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the sixteenth O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the seventeenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the eighteenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the nineteenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twentieth O site, O is bonded to four Zr atoms to form a mixture of distorted 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 in a trigonal non-coplanar geometry to three Zr atoms. In the twenty-third O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the twenty-fourth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the twenty-fifth O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the twenty-sixth O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the twenty-seventh O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-eighth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-ninth O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the thirtieth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-first O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-second O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-third O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the thirty-fourth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the thirty-fifth O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. 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 in a trigonal non-coplanar geometry to three Zr atoms. 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 distorted edge and corner-sharing OZr4 tetrahedra. In the fortieth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na2Zr12B2I5Cl23 by Materials Project

Na2Zr12B2I5Cl23 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 7-coordinate geometry to one I1- and six Cl1- atoms. The Na–I bond length is 3.43 Å. There are a spread of Na–Cl bond distances ranging from 2.88–2.97 Å. In the second Na1+ site, Na1+ is bonded in a 7-coordinate geometry to two I1- and five Cl1- atoms. There are one shorter (3.17 Å) and one longer (3.40 Å) Na–I bond lengths. There are a spread of Na–Cl bond distances ranging from 2.79–3.03 Å. There are twelve inequivalent Zr+2.17+ sites. In the first Zr+2.17+ site, Zr+2.17+ is bonded to one B, two I1-, and three Cl1- atoms to form a mixture of distorted edge and corner-sharing ZrBI2Cl3 octahedra. The corner-sharing octahedra tilt angles range from 1–62°. The Zr–B bond length is 2.32 Å. There are one shorter (2.94 Å) and one longer (3.26 Å) Zr–I bond lengths. There are two shorter (2.53 Å) and one longer (2.60 Å) Zr–Cl bond lengths. In the second Zr+2.17+ site, Zr+2.17+ is bonded to one B, one I1-, and four Cl1- atoms to form distorted ZrBICl4 octahedra that share corners with three ZrBI2Cl3 octahedra and edges with four ZrBICl4 octahedra. The corner-sharing octahedra tilt angles range from 2–64°. The Zr–B bond length is 2.32 Å. The Zr–I bond length is 3.30 Å. There are a spread of Zr–Cl bond distances ranging from 2.54–2.59 Å. In the third Zr+2.17+ site, Zr+2.17+ is bonded to one B, one I1-, and four Cl1- atoms to form distorted ZrBICl4 octahedra that share corners with three ZrBICl4 octahedra and edges with four ZrBI2Cl3 octahedra. The corner-sharing octahedra tilt angles range from 1–63°. The Zr–B bond length is 2.31 Å. The Zr–I bond length is 3.24 Å. There are a spread of Zr–Cl bond distances ranging from 2.55–2.57 Å. In the fourth Zr+2.17+ site, Zr+2.17+ is bonded to one B, one I1-, and four Cl1- atoms to form a mixture of distorted edge and corner-sharing ZrBICl4 octahedra. The corner-sharing octahedra tilt angles range from 1–64°. The Zr–B bond length is 2.31 Å. The Zr–I bond length is 3.24 Å. There are a spread of Zr–Cl bond distances ranging from 2.55–2.57 Å. In the fifth Zr+2.17+ site, Zr+2.17+ is bonded to one B, one I1-, and four Cl1- atoms to form a mixture of distorted edge and corner-sharing ZrBICl4 octahedra. The corner-sharing octahedra tilt angles range from 0–63°. The Zr–B bond length is 2.31 Å. The Zr–I bond length is 3.27 Å. There are a spread of Zr–Cl bond distances ranging from 2.54–2.59 Å. In the sixth Zr+2.17+ site, Zr+2.17+ is bonded to one B, one I1-, and four Cl1- atoms to form a mixture of distorted edge and corner-sharing ZrBICl4 octahedra. The corner-sharing octahedra tilt angles range from 0–63°. The Zr–B bond length is 2.31 Å. The Zr–I bond length is 3.26 Å. There are a spread of Zr–Cl bond distances ranging from 2.52–2.60 Å. In the seventh Zr+2.17+ site, Zr+2.17+ is bonded to one B, one I1-, and four Cl1- atoms to form a mixture of distorted edge and corner-sharing ZrBICl4 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. The Zr–B bond length is 2.31 Å. The Zr–I bond length is 3.32 Å. There are a spread of Zr–Cl bond distances ranging from 2.53–2.58 Å. In the eighth Zr+2.17+ site, Zr+2.17+ is bonded to one B, one I1-, and four Cl1- atoms to form a mixture of distorted edge and corner-sharing ZrBICl4 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. The Zr–B bond length is 2.31 Å. The Zr–I bond length is 3.29 Å. There are a spread of Zr–Cl bond distances ranging from 2.53–2.60 Å. In the ninth Zr+2.17+ site, Zr+2.17+ is bonded to one B, one I1-, and four Cl1- atoms to form distorted ZrBICl4 octahedra that share corners with three ZrBI2Cl3 octahedra and edges with four ZrBICl4 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. The Zr–B bond length is 2.32 Å. The Zr–I bond length is 3.29 Å. There are a spread of Zr–Cl bond distances ranging from 2.55–2.58 Å. In the tenth Zr+2.17+ site, Zr+2.17+ is bonded to one B, one I1-, and four Cl1- atoms to form distorted ZrBICl4 octahedra that share corners with three ZrBICl4 octahedra and edges with four ZrBI2Cl3 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. The Zr–B bond length is 2.31 Å. The Zr–I bond length is 3.30 Å. There are a spread of Zr–Cl bond distances ranging from 2.55–2.58 Å. In the eleventh Zr+2.17+ site, Zr+2.17+ is bonded to one B, two I1-, and three Cl1- atoms to form distorted ZrBI2Cl3 octahedra that share corners with three ZrBICl4 octahedra and edges with four ZrBI2Cl3 octahedra. The corner-sharing octahedra tilt angles range from 2–63°. The Zr–B bond length is 2.32 Å. There are one shorter (2.89 Å) and one longer (3.25 Å) Zr–I bond lengths. There are a spread of Zr–Cl bond distances ranging from 2.53–2.61 Å. In the twelfth Zr+2.17+ site, Zr+2.17+ is bonded to one B, one I1-, and four Cl1- atoms to form distorted ZrBICl4 octahedra that share corners with three ZrBI2Cl3 octahedra and edges with four ZrBICl4 octahedra. The corner-sharing octahedra tilt angles range from 1–63°. The Zr–B bond length is 2.32 Å. The Zr–I bond length is 3.28 Å. There are a spread of Zr–Cl bond distances ranging from 2.53–2.58 Å. There are two inequivalent B sites. In the first B site, B is bonded in an octahedral geometry to six Zr+2.17+ atoms. In the second B site, B is bonded in an octahedral geometry to six Zr+2.17+ atoms. There are five inequivalent I1- sites. In the first I1- site, I1- is bonded in a distorted trigonal planar geometry to three Zr+2.17+ atoms. In the second I1- site, I1- is bonded in a distorted trigonal planar geometry to three Zr+2.17+ atoms. In the third I1- site, I1- is bonded in a 4-coordinate geometry to one Na1+ and three Zr+2.17+ atoms. In the fourth I1- site, I1- is bonded in a 4-coordinate geometry to one Na1+ and three Zr+2.17+ atoms. In the fifth I1- site, I1- is bonded in a 4-coordinate geometry to one Na1+ and two Zr+2.17+ atoms. There are twenty-three inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the second Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the third Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the fourth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the fifth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the sixth Cl1- site, Cl1- is bonded in an L-shaped geometry to two Zr+2.17+ atoms. In the seventh Cl1- site, Cl1- is bonded in an L-shaped geometry to two Zr+2.17+ atoms. In the eighth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the ninth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the tenth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the eleventh Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the twelfth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the thirteenth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one Na1+ and two Zr+2.17+ atoms. In the fourteenth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one Na1+ and two Zr+2.17+ atoms. In the fifteenth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one Na1+ and two Zr+2.17+ atoms. In the sixteenth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one Na1+ and two Zr+2.17+ atoms. In the seventeenth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one Na1+ and two Zr+2.17+ atoms. In the eighteenth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one Na1+ and two Zr+2.17+ atoms. In the nineteenth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one Na1+ and two Zr+2.17+ atoms. In the twentieth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one Na1+ and two Zr+2.17+ atoms. In the twenty-first Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one Na1+ and two Zr+2.17+ atoms. In the twenty-second Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one Na1+ and two Zr+2.17+ atoms. In the twenty-third Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one Na1+ and two Zr+2.17+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on SrZr12B2I5Cl23 by Materials Project

SrZr12B2I5Cl23 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. Sr2+ is bonded in a 7-coordinate geometry to two I1- and five Cl1- atoms. There are one shorter (3.28 Å) and one longer (3.37 Å) Sr–I bond lengths. There are a spread of Sr–Cl bond distances ranging from 2.87–3.04 Å. There are twelve inequivalent Zr+2.17+ sites. In the first Zr+2.17+ site, Zr+2.17+ is bonded to one B, two I1-, and three Cl1- atoms to form a mixture of distorted edge and corner-sharing ZrBI2Cl3 octahedra. The corner-sharing octahedra tilt angles range from 2–63°. The Zr–B bond length is 2.33 Å. There are one shorter (2.95 Å) and one longer (3.30 Å) Zr–I bond lengths. There are two shorter (2.51 Å) and one longer (2.64 Å) Zr–Cl bond lengths. In the second Zr+2.17+ site, Zr+2.17+ is bonded to one B, one I1-, and four Cl1- atoms to form distorted ZrBICl4 octahedra that share corners with three ZrBI2Cl3 octahedra and edges with four ZrBICl4 octahedra. The corner-sharing octahedra tilt angles range from 2–65°. The Zr–B bond length is 2.32 Å. The Zr–I bond length is 3.34 Å. There are a spread of Zr–Cl bond distances ranging from 2.53–2.62 Å. In the third Zr+2.17+ site, Zr+2.17+ is bonded to one B, one I1-, and four Cl1- atoms to form a mixture of distorted edge and corner-sharing ZrBICl4 octahedra. The corner-sharing octahedra tilt angles range from 1–64°. The Zr–B bond length is 2.30 Å. The Zr–I bond length is 3.26 Å. There are a spread of Zr–Cl bond distances ranging from 2.54–2.56 Å. In the fourth Zr+2.17+ site, Zr+2.17+ is bonded to one B, one I1-, and four Cl1- atoms to form a mixture of distorted edge and corner-sharing ZrBICl4 octahedra. The corner-sharing octahedra tilt angles range from 1–65°. The Zr–B bond length is 2.31 Å. The Zr–I bond length is 3.27 Å. There are a spread of Zr–Cl bond distances ranging from 2.54–2.57 Å. In the fifth Zr+2.17+ site, Zr+2.17+ is bonded to one B, one I1-, and four Cl1- atoms to form a mixture of distorted edge and corner-sharing ZrBICl4 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. The Zr–B bond length is 2.30 Å. The Zr–I bond length is 3.28 Å. There are a spread of Zr–Cl bond distances ranging from 2.53–2.59 Å. In the sixth Zr+2.17+ site, Zr+2.17+ is bonded to one B, one I1-, and four Cl1- atoms to form a mixture of distorted edge and corner-sharing ZrBICl4 octahedra. The corner-sharing octahedra tilt angles range from 1–64°. The Zr–B bond length is 2.30 Å. The Zr–I bond length is 3.26 Å. There are a spread of Zr–Cl bond distances ranging from 2.54–2.57 Å. In the seventh Zr+2.17+ site, Zr+2.17+ is bonded to one B, one I1-, and four Cl1- atoms to form a mixture of distorted edge and corner-sharing ZrBICl4 octahedra. The corner-sharing octahedra tilt angles range from 1–63°. The Zr–B bond length is 2.31 Å. The Zr–I bond length is 3.38 Å. There are a spread of Zr–Cl bond distances ranging from 2.52–2.60 Å. In the eighth Zr+2.17+ site, Zr+2.17+ is bonded to one B, one I1-, and four Cl1- atoms to form a mixture of distorted edge and corner-sharing ZrBICl4 octahedra. The corner-sharing octahedra tilt angles range from 0–63°. The Zr–B bond length is 2.31 Å. The Zr–I bond length is 3.35 Å. There are a spread of Zr–Cl bond distances ranging from 2.52–2.63 Å. In the ninth Zr+2.17+ site, Zr+2.17+ is bonded to one B, one I1-, and four Cl1- atoms to form a mixture of distorted edge and corner-sharing ZrBICl4 octahedra. The corner-sharing octahedra tilt angles range from 1–62°. The Zr–B bond length is 2.31 Å. The Zr–I bond length is 3.32 Å. There are a spread of Zr–Cl bond distances ranging from 2.53–2.63 Å. In the tenth Zr+2.17+ site, Zr+2.17+ is bonded to one B, one I1-, and four Cl1- atoms to form distorted ZrBICl4 octahedra that share corners with three ZrBICl4 octahedra and edges with four ZrBI2Cl3 octahedra. The corner-sharing octahedra tilt angles range from 1–62°. The Zr–B bond length is 2.31 Å. The Zr–I bond length is 3.35 Å. There are a spread of Zr–Cl bond distances ranging from 2.51–2.63 Å. In the eleventh Zr+2.17+ site, Zr+2.17+ is bonded to one B, two I1-, and three Cl1- atoms to form distorted ZrBI2Cl3 octahedra that share corners with three ZrBICl4 octahedra and edges with four ZrBI2Cl3 octahedra. The corner-sharing octahedra tilt angles range from 2–64°. The Zr–B bond length is 2.33 Å. There are one shorter (2.92 Å) and one longer (3.25 Å) Zr–I bond lengths. There are a spread of Zr–Cl bond distances ranging from 2.50–2.65 Å. In the twelfth Zr+2.17+ site, Zr+2.17+ is bonded to one B, one I1-, and four Cl1- atoms to form distorted ZrBICl4 octahedra that share corners with three ZrBI2Cl3 octahedra and edges with four ZrBICl4 octahedra. The corner-sharing octahedra tilt angles range from 2–64°. The Zr–B bond length is 2.32 Å. The Zr–I bond length is 3.26 Å. There are one shorter (2.55 Å) and three longer (2.56 Å) Zr–Cl bond lengths. There are two inequivalent B sites. In the first B site, B is bonded in an octahedral geometry to six Zr+2.17+ atoms. In the second B site, B is bonded in an octahedral geometry to six Zr+2.17+ atoms. There are five inequivalent I1- sites. In the first I1- site, I1- is bonded in a 3-coordinate geometry to three Zr+2.17+ atoms. In the second I1- site, I1- is bonded in a distorted trigonal planar geometry to three Zr+2.17+ atoms. In the third I1- site, I1- is bonded in a 4-coordinate geometry to one Sr2+ and three Zr+2.17+ atoms. In the fourth I1- site, I1- is bonded in a 3-coordinate geometry to three Zr+2.17+ atoms. In the fifth I1- site, I1- is bonded in a 4-coordinate geometry to one Sr2+, two Zr+2.17+, and one Cl1- atom. The I–Cl bond length is 3.50 Å. There are twenty-three inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the second Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the third Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ and one I1- atom. In the fourth Cl1- site, Cl1- is bonded in an L-shaped geometry to two Zr+2.17+ atoms. In the fifth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the sixth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the seventh Cl1- site, Cl1- is bonded in an L-shaped geometry to two Zr+2.17+ atoms. In the eighth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the ninth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the tenth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the eleventh Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the twelfth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the thirteenth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the fourteenth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the fifteenth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one Sr2+ and two Zr+2.17+ atoms. In the sixteenth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the seventeenth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one Sr2+ and two Zr+2.17+ atoms. In the eighteenth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the nineteenth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one Sr2+ and two Zr+2.17+ atoms. In the twentieth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the twenty-first Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one Sr2+ and two Zr+2.17+ atoms. In the twenty-second Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Zr+2.17+ atoms. In the twenty-third Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one Sr2+ and two Zr+2.17+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on K16Zr12Se61 by Materials Project

K16Zr12Se61 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent K sites. In the first K site, K is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of K–Se bond distances ranging from 3.41–3.80 Å. In the second K site, K is bonded in a 8-coordinate geometry to seven Se atoms. There are a spread of K–Se bond distances ranging from 3.33–3.83 Å. In the third K site, K is bonded in a 10-coordinate geometry to ten Se atoms. There are a spread of K–Se bond distances ranging from 3.53–3.93 Å. In the fourth K site, K is bonded in a 7-coordinate geometry to seven Se atoms. There are a spread of K–Se bond distances ranging from 3.40–3.68 Å. In the fifth K site, K is bonded in a 6-coordinate geometry to nine Se atoms. There are a spread of K–Se bond distances ranging from 3.46–3.94 Å. In the sixth K site, K is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of K–Se bond distances ranging from 3.34–3.63 Å. In the seventh K site, K is bonded in a 9-coordinate geometry to nine Se atoms. There are a spread of K–Se bond distances ranging from 3.35–3.87 Å. In the eighth K site, K is bonded in a 9-coordinate geometry to nine Se atoms. There are a spread of K–Se bond distances ranging from 3.38–3.80 Å. In the ninth K site, K is bonded to eight Se atoms to form distorted KSe8 hexagonal bipyramids that share a cornercorner with one ZrSe8 hexagonal bipyramid, corners with two ZrSe7 pentagonal bipyramids, edges with two ZrSe8 hexagonal bipyramids, and an edgeedge with one ZrSe7 pentagonal bipyramid. There are a spread of K–Se bond distances ranging from 3.34–3.71 Å. In the tenth K site, K is bonded in a 10-coordinate geometry to ten Se atoms. There are a spread of K–Se bond distances ranging from 3.38–3.87 Å. In the eleventh K site, K is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of K–Se bond distances ranging from 3.36–3.62 Å. In the twelfth K site, K is bonded in a 7-coordinate geometry to seven Se atoms. There are a spread of K–Se bond distances ranging from 3.37–3.85 Å. In the thirteenth K site, K is bonded in a 7-coordinate geometry to eight Se atoms. There are a spread of K–Se bond distances ranging from 3.35–3.96 Å. In the fourteenth K site, K is bonded in a 11-coordinate geometry to eleven Se atoms. There are a spread of K–Se bond distances ranging from 3.55–4.00 Å. In the fifteenth K site, K is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of K–Se bond distances ranging from 3.29–3.77 Å. In the sixteenth K site, K is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of K–Se bond distances ranging from 3.42–3.79 Å. There are twelve inequivalent Zr sites. In the first Zr site, Zr is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Zr–Se bond distances ranging from 2.72–2.96 Å. In the second Zr site, Zr is bonded to seven Se atoms to form distorted ZrSe7 pentagonal bipyramids that share a cornercorner with one KSe8 hexagonal bipyramid, an edgeedge with one ZrSe7 pentagonal bipyramid, and a faceface with one ZrSe8 hexagonal bipyramid. There are a spread of Zr–Se bond distances ranging from 2.60–2.87 Å. In the third Zr site, Zr is bonded to eight Se atoms to form distorted face-sharing ZrSe8 hexagonal bipyramids. There are a spread of Zr–Se bond distances ranging from 2.72–2.86 Å. In the fourth Zr site, Zr is bonded to eight Se atoms to form distorted ZrSe8 hexagonal bipyramids that share an edgeedge with one KSe8 hexagonal bipyramid and a faceface with one ZrSe7 pentagonal bipyramid. There are a spread of Zr–Se bond distances ranging from 2.70–2.89 Å. In the fifth Zr site, Zr is bonded to seven Se atoms to form distorted ZrSe7 pentagonal bipyramids that share a cornercorner with one KSe8 hexagonal bipyramid, an edgeedge with one ZrSe8 hexagonal bipyramid, and a faceface with one ZrSe8 hexagonal bipyramid. There are a spread of Zr–Se bond distances ranging from 2.58–2.93 Å. In the sixth Zr site, Zr is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Zr–Se bond distances ranging from 2.73–2.98 Å. In the seventh Zr site, Zr is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Zr–Se bond distances ranging from 2.72–2.98 Å. In the eighth Zr site, Zr is bonded to eight Se atoms to form distorted ZrSe8 hexagonal bipyramids that share a cornercorner with one KSe8 hexagonal bipyramid, an edgeedge with one ZrSe7 pentagonal bipyramid, and a faceface with one ZrSe8 hexagonal bipyramid. There are a spread of Zr–Se bond distances ranging from 2.74–2.88 Å. In the ninth Zr site, Zr is bonded to eight Se atoms to form distorted ZrSe8 hexagonal bipyramids that share an edgeedge with one KSe8 hexagonal bipyramid and a faceface with one ZrSe7 pentagonal bipyramid. There are a spread of Zr–Se bond distances ranging from 2.70–2.88 Å. In the tenth Zr site, Zr is bonded to eight Se atoms to form distorted face-sharing ZrSe8 hexagonal bipyramids. There are a spread of Zr–Se bond distances ranging from 2.72–2.88 Å. In the eleventh Zr site, Zr is bonded to seven Se atoms to form distorted ZrSe7 pentagonal bipyramids that share an edgeedge with one KSe8 hexagonal bipyramid, an edgeedge with one ZrSe7 pentagonal bipyramid, and a faceface with one ZrSe8 hexagonal bipyramid. There are a spread of Zr–Se bond distances ranging from 2.60–2.88 Å. In the twelfth Zr site, Zr is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Zr–Se bond distances ranging from 2.71–2.94 Å. There are sixty-one inequivalent Se sites. In the first Se site, Se is bonded in a 6-coordinate geometry to two K, two Zr, and two Se atoms. There are one shorter (2.46 Å) and one longer (2.94 Å) Se–Se bond lengths. In the second Se site, Se is bonded in a 1-coordinate geometry to three K, one Zr, and one Se atom. The Se–Se bond length is 2.41 Å. In the third Se site, Se is bonded in a 5-coordinate geometry to three K, one Zr, and one Se atom. The Se–Se bond length is 2.48 Å. In the fourth Se site, Se is bonded in a 6-coordinate geometry to two K, two Zr, and two Se atoms. The Se–Se bond length is 2.86 Å. In the fifth Se site, Se is bonded in a 2-coordinate geometry to two K, two Zr, and one Se atom. The Se–Se bond length is 2.42 Å. In the sixth Se site, Se is bonded in a 1-coordinate geometry to two K, one Zr, and one Se atom. The Se–Se bond length is 2.40 Å. In the seventh Se site, Se is bonded in a 2-coordinate geometry to two K, one Zr, and two Se atoms. The Se–Se bond length is 2.42 Å. In the eighth Se site, Se is bonded in a 4-coordinate geometry to two K, one Zr, and one Se atom. In the ninth Se site, Se is bonded in a 5-coordinate geometry to three K, one Zr, and one Se atom. The Se–Se bond length is 2.42 Å. In the tenth Se site, Se is bonded in a 4-coordinate geometry to one K, two Zr, and one Se atom. In the eleventh Se site, Se is bonded in a 1-coordinate geometry to three K, one Zr, and two Se atoms. The Se–Se bond length is 2.42 Å. In the twelfth Se site, Se is bonded in a 4-coordinate geometry to one K, two Zr, and one Se atom. In the thirteenth Se site, Se is bonded in a 5-coordinate geometry to two K, two Zr, and one Se atom. In the fourteenth Se site, Se is bonded in a 4-coordinate geometry to one K, two Zr, and one Se atom. The Se–Se bond length is 2.40 Å. In the fifteenth Se site, Se is bonded in a 2-coordinate geometry to two K, one Zr, and two Se atoms. There are one shorter (2.45 Å) and one longer (2.95 Å) Se–Se bond lengths. In the sixteenth Se site, Se is bonded in a 2-coordinate geometry to two K, two Zr, and one Se atom. The Se–Se bond length is 2.45 Å. In the seventeenth Se site, Se is bonded in a 5-coordinate geometry to three K and two Zr atoms. In the eighteenth Se site, Se is bonded in a 4-coordinate geometry to one K, two Zr, and one Se atom. The Se–Se bond length is 2.43 Å. In the nineteenth Se site, Se is bonded in a 5-coordinate geometry to three K, one Zr, and one Se atom. The Se–Se bond length is 2.43 Å. In the twentieth Se site, Se is bonded in a 5-coordinate geometry to three K, one Zr, and one Se atom. In the twenty-first Se site, Se is bonded in a 4-coordinate geometry to two K, two Zr, and one Se atom. In the twenty-second Se site, Se is bonded in a 5-coordinate geometry to two K, two Zr, and one Se atom. The Se–Se bond length is 2.43 Å. In the twenty-third Se site, Se is bonded in a 1-coordinate geometry to four K, one Zr, and one Se atom. In the twenty-fourth Se site, Se is bonded in a 5-coordinate geometry to two K, two Zr, and one Se atom. In the twenty-fifth Se site, Se is bonded in a 5-coordinate geometry to three K and two Zr atoms. In the twenty-sixth Se site, Se is bonded in a 6-coordinate geometry to two K, two Zr, and two Se atoms. There are one shorter (2.47 Å) and one longer (2.96 Å) Se–Se bond lengths. In the twenty-seventh Se site, Se is bonded in a 5-coordinate geometry to three K, one Zr, and one Se atom. In the twenty-eighth Se site, Se is bonded in a 2-coordinate geometry to two K, two Zr, and one Se atom. In the twenty-ninth Se site, Se is bonded in a 2-coordinate geometry to two K, one Zr, and one Se atom. In the thirtieth Se site, Se is bonded in a 5-coordinate geometry to three K, one Zr, and one Se atom. The Se–Se bond length is 2.43 Å. In the thirty-first Se site, Se is bonded in a 5-coordinate geometry to three K, one Zr, and one Se atom. In the thirty-second Se site, Se is bonded in a 1-coordinate geometry to two K, one Zr, and two Se atoms. There are one shorter (2.41 Å) and one longer (2.89 Å) Se–Se bond lengths. In the thirty-third Se site, Se is bonded in a 2-coordinate geometry to two K, two Zr, and one Se atom. The Se–Se bond length is 2.45 Å. In the thirty-fourth Se site, Se is bonded in a 5-coordinate geometry to two K, two Zr, and one Se atom. The Se–Se bond length is 2.39 Å. In the thirty-fifth Se site, Se is bonded in a 5-coordinate geometry to three K, one Zr, and one Se atom. The Se–Se bond length is 2.47 Å. In the thirty-sixth Se site, Se is bonded in a 6-coordinate geometry to two K, two Zr, and two Se atoms. In the thirty-seventh Se site, Se is bonded in a 6-coordinate geometry to two K, two Zr, and two Se atoms. The Se–Se bond length is 2.47 Å. In the thirty-eighth Se site, Se is bonded in a 5-coordinate geometry to three K, one Zr, and one Se atom. The Se–Se bond length is 2.41 Å. In the thirty-ninth Se site, Se is bonded in a 5-coordinate geometry to two K, two Zr, and one Se atom. In the fortieth Se site, Se is bonded in a 2-coordinate geometry to three K, one Zr, and one Se atom. In the forty-first Se site, Se is bonded in a 5-coordinate geometry to two K, two Zr, and one Se atom. The Se–Se bond length is 2.42 Å. In the forty-second Se site, Se is bonded in a 2-coordinate geometry to three K, one Zr, and one Se atom. The Se–Se bond length is 2.39 Å. In the forty-third Se site, Se is bonded in a 5-coordinate geometry to three K, one Zr, and one Se atom. In the forty-fourth Se site, Se is bonded in a 2-coordinate geometry to two K, two Zr, and one Se atom. In the forty-fifth Se site, Se is bonded in a distorted trigonal bipyramidal geometry to three K and two Zr atoms. In the forty-sixth Se site, Se is bonded in a 2-coordinate geometry to two K, two Zr, and one Se atom. In the forty-seventh Se site, Se is bonded in a 2-coordinate geometry to two K, one Zr, and two Se atoms. In the forty-eighth Se site, Se is bonded in a 4-coordinate geometry to one K, two Zr, and one Se atom. In the forty-ninth Se site, Se is bonded in a 5-coordinate geometry to two K, two Zr, and one Se atom. The Se–Se bond length is 2.42 Å. In the fiftieth Se site, Se is bonded in a 4-coordinate geometry to one K, two Zr, and one Se atom. The Se–Se bond length is 2.40 Å. In the fifty-first Se site, Se is bonded in a 1-coordinate geometry to three K, one Zr, and two Se atoms. The Se–Se bond length is 2

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr40S27 by Materials Project

Zr13S2Zr2SZr25S24 crystallizes in the trigonal P3m1 space group. The structure is two-dimensional and consists of one Zr13S2 sheet oriented in the (0, 0, 1) direction; one Zr25S24 sheet oriented in the (0, 0, 1) direction; and one Zr2S sheet oriented in the (0, 0, 1) direction. In the Zr13S2 sheet, there are eleven inequivalent Zr sites. In the first Zr site, Zr is bonded in a 3-coordinate geometry to three equivalent S atoms. All Zr–S bond lengths are 2.65 Å. In the second Zr site, Zr is bonded in a 3-coordinate geometry to one Zr and three equivalent S atoms. The Zr–Zr bond length is 3.39 Å. All Zr–S bond lengths are 2.66 Å. In the third Zr site, Zr is bonded to eight Zr atoms to form ZrZr8 hexagonal bipyramids that share corners with seven ZrZr8 hexagonal bipyramids, corners with three equivalent SZr6 pentagonal pyramids, and edges with eighteen ZrZr8 hexagonal bipyramids. There are one shorter (3.36 Å) and six longer (3.39 Å) Zr–Zr bond lengths. In the fourth Zr site, Zr is bonded to eight Zr atoms to form a mixture of corner and edge-sharing ZrZr8 hexagonal bipyramids. There are six shorter (3.39 Å) and one longer (3.43 Å) Zr–Zr bond lengths. In the fifth Zr site, Zr is bonded to eight Zr atoms to form a mixture of corner and edge-sharing ZrZr8 hexagonal bipyramids. There are six shorter (3.39 Å) and one longer (3.45 Å) Zr–Zr bond lengths. In the sixth Zr site, Zr is bonded to eight Zr atoms to form a mixture of corner and edge-sharing ZrZr8 hexagonal bipyramids. There are six shorter (3.39 Å) and one longer (3.45 Å) Zr–Zr bond lengths. In the seventh Zr site, Zr is bonded to eight Zr atoms to form a mixture of corner and edge-sharing ZrZr8 hexagonal bipyramids. There are six shorter (3.39 Å) and one longer (3.45 Å) Zr–Zr bond lengths. In the eighth Zr site, Zr is bonded to eight Zr atoms to form a mixture of corner and edge-sharing ZrZr8 hexagonal bipyramids. There are six shorter (3.39 Å) and one longer (3.45 Å) Zr–Zr bond lengths. In the ninth Zr site, Zr is bonded in a 3-coordinate geometry to one Zr and three equivalent S atoms. The Zr–Zr bond length is 3.40 Å. All Zr–S bond lengths are 2.67 Å. In the tenth Zr site, Zr is bonded in a 3-coordinate geometry to three equivalent S atoms. All Zr–S bond lengths are 2.66 Å. In the eleventh Zr site, Zr is bonded to eight Zr atoms to form ZrZr8 hexagonal bipyramids that share corners with seven ZrZr8 hexagonal bipyramids, corners with three equivalent SZr6 pentagonal pyramids, and edges with eighteen ZrZr8 hexagonal bipyramids. There are one shorter (3.36 Å) and six longer (3.39 Å) Zr–Zr bond lengths. There are two inequivalent S sites. In the first S site, S is bonded to six Zr atoms to form distorted SZr6 pentagonal pyramids that share corners with three equivalent ZrZr8 hexagonal bipyramids and edges with six equivalent SZr6 pentagonal pyramids. In the second S site, S is bonded to six Zr atoms to form distorted SZr6 pentagonal pyramids that share corners with three equivalent ZrZr8 hexagonal bipyramids and edges with six equivalent SZr6 pentagonal pyramids. In the Zr25S24 sheet, there are six inequivalent Zr sites. In the first Zr site, Zr is bonded in a 3-coordinate geometry to three equivalent S atoms. All Zr–S bond lengths are 2.63 Å. In the second Zr site, Zr is bonded to six S atoms to form a mixture of distorted corner, edge, and face-sharing ZrS6 pentagonal pyramids. All Zr–S bond lengths are 2.63 Å. In the third Zr site, Zr is bonded to six S atoms to form a mixture of distorted corner, edge, and face-sharing ZrS6 pentagonal pyramids. All Zr–S bond lengths are 2.62 Å. In the fourth Zr site, Zr is bonded to six S atoms to form a mixture of distorted corner, edge, and face-sharing ZrS6 pentagonal pyramids. All Zr–S bond lengths are 2.61 Å. In the fifth Zr site, Zr is bonded to six equivalent S atoms to form a mixture of distorted corner, edge, and face-sharing ZrS6 pentagonal pyramids. All Zr–S bond lengths are 2.61 Å. In the sixth Zr site, Zr is bonded to six S atoms to form a mixture of distorted corner, edge, and face-sharing ZrS6 pentagonal pyramids. All Zr–S bond lengths are 2.61 Å. There are five inequivalent S sites. In the first S site, S is bonded to six Zr atoms to form a mixture of distorted corner, edge, and face-sharing SZr6 pentagonal pyramids. In the second S site, S is bonded to six Zr atoms to form a mixture of distorted corner, edge, and face-sharing SZr6 pentagonal pyramids. In the third S site, S is bonded to six Zr atoms to form a mixture of distorted corner, edge, and face-sharing SZr6 pentagonal pyramids. In the fourth S site, S is bonded to six Zr atoms to form a mixture of distorted corner, edge, and face-sharing SZr6 pentagonal pyramids. In the fifth S site, S is bonded to six equivalent Zr atoms to form a mixture of distorted corner, edge, and face-sharing SZr6 pentagonal pyramids. In the Zr2S sheet, there are two inequivalent Zr sites. In the first Zr site, Zr is bonded in a 3-coordinate geometry to three equivalent S atoms. All Zr–S bond lengths are 2.64 Å. In the second Zr site, Zr is bonded in a 3-coordinate geometry to three equivalent S atoms. All Zr–S bond lengths are 2.64 Å. S is bonded to six Zr atoms to form distorted edge-sharing SZr6 pentagonal pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr12Si2Bi2P16PbO72 by Materials Project

Zr12PbSi2Bi2P16O72 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Zr sites. In the first Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.00–2.19 Å. In the second Zr site, Zr is bonded to six O atoms to form distorted ZrO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.00–2.28 Å. In the third Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.99–2.17 Å. In the fourth Zr site, Zr is bonded to six O atoms to form distorted ZrO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.26 Å. In the fifth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.96–2.27 Å. In the sixth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.07–2.14 Å. In the seventh Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.15 Å. In the eighth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.03–2.18 Å. In the ninth Zr site, Zr is bonded to six O atoms to form distorted ZrO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.96–2.31 Å. In the tenth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.16 Å. In the eleventh Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.04–2.16 Å. In the twelfth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.06–2.13 Å. Pb is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Pb–O bond distances ranging from 2.57–2.64 Å. There are two inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–46°. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–45°. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. There are two inequivalent Bi sites. In the first Bi site, Bi is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Bi–O bond distances ranging from 2.27–2.66 Å. In the second Bi site, Bi is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Bi–O bond distances ranging from 2.29–2.64 Å. There are sixteen inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–44°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–43°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–41°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–43°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–44°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–43°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 26–43°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–42°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the ninth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–44°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the tenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–36°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the eleventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–45°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the twelfth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–36°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the thirteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–35°. There is three shorter (1.54 Å) and one longer (1.56 Å) P–O bond length. In the fourteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–35°. There is three shorter (1.54 Å) and one longer (1.56 Å) P–O bond length. In the fifteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–34°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the sixteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–36°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are seventy-two inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the second O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the third O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the fourth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the fifth O site, O is bonded in a 1-coordinate geometry to one Zr, one Bi, and one P atom. In the sixth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the seventh O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the eighth O site, O is bonded in a 1-coordinate geometry to one Zr, one Bi, and one P atom. In the ninth O site, O is bonded in a 3-coordinate geometry to one Zr, one Si, and one Bi atom. In the tenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the eleventh O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twelfth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the thirteenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the fourteenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the fifteenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one Si atom. In the sixteenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one Si atom. In the seventeenth O site, O is bonded in a 2-coordinate geometry to one Zr, one Bi, and one P atom. In the eighteenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the nineteenth O site, O is bonded in a 1-coordinate geometry to one Zr, one Bi, and one P atom. In the twentieth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twenty-first O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twenty-second O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twenty-third O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twenty-fourth O site, O is bonded in a 1-coordinate geometry to one Zr, one Bi, and one P atom. In the twenty-fifth O site, O is bonded in a 3-coordinate geometry to one Zr, one Bi, and one P atom. In the twenty-sixth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twenty-seventh O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twenty-eighth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twenty-ninth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the thirtieth O site, O is bonded in a 1-coordinate geometry to one Zr, one Bi, and one P atom. In the thirty-first O site, O is bonded in a bent 150 degrees geometry to one Zr and one Si atom. In the thirty-second O site, O is bonded in a 3-coordinate geometry to one Zr, one Si, and one Bi atom. In the thirty-third O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the thirty-fourth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the thirty-fifth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the thirty-sixth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the thirty-seventh O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the thirty-eighth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the thirty-ninth O site, O is bonded in a bent 150 degrees geometry to one Zr and one Si atom. In the fortieth O site, O is bonded in a bent 150 degrees geometry to one Zr and one Si atom. In the forty-first O site, O is bonded in a 2-coordinate geometry to one Zr, one Bi, and one P atom. In the forty-second O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the forty-third O site, O is bonded in a 1-coordinate geometry to one Zr, one Bi, and one P atom. In the forty-fourth O site, O i

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr18Co5Sn4 by Materials Project

Zr18Co5Sn4 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eighteen inequivalent Zr sites. In the first Zr site, Zr is bonded in a 2-coordinate geometry to three Co and one Sn atom. There are two shorter (2.58 Å) and one longer (3.09 Å) Zr–Co bond lengths. The Zr–Sn bond length is 3.06 Å. In the second Zr site, Zr is bonded in a 4-coordinate geometry to two equivalent Co and two Sn atoms. Both Zr–Co bond lengths are 2.57 Å. There are one shorter (3.11 Å) and one longer (3.12 Å) Zr–Sn bond lengths. In the third Zr site, Zr is bonded in a 2-coordinate geometry to three Co and one Sn atom. There are two shorter (2.58 Å) and one longer (3.12 Å) Zr–Co bond lengths. The Zr–Sn bond length is 3.05 Å. In the fourth Zr site, Zr is bonded in a 2-coordinate geometry to two equivalent Co and two Sn atoms. Both Zr–Co bond lengths are 2.60 Å. There are one shorter (3.11 Å) and one longer (3.19 Å) Zr–Sn bond lengths. In the fifth Zr site, Zr is bonded in a 2-coordinate geometry to three Co and one Sn atom. There are two shorter (2.56 Å) and one longer (3.12 Å) Zr–Co bond lengths. The Zr–Sn bond length is 3.00 Å. In the sixth Zr site, Zr is bonded in a 2-coordinate geometry to three Co and one Sn atom. There are two shorter (2.57 Å) and one longer (3.10 Å) Zr–Co bond lengths. The Zr–Sn bond length is 3.05 Å. In the seventh Zr site, Zr is bonded in a 4-coordinate geometry to two equivalent Co and two Sn atoms. Both Zr–Co bond lengths are 2.57 Å. There are one shorter (3.04 Å) and one longer (3.13 Å) Zr–Sn bond lengths. In the eighth Zr site, Zr is bonded in a 2-coordinate geometry to three Co and one Sn atom. There are two shorter (2.57 Å) and one longer (3.07 Å) Zr–Co bond lengths. The Zr–Sn bond length is 3.12 Å. In the ninth Zr site, Zr is bonded in a 2-coordinate geometry to three Co and one Sn atom. There are two shorter (2.58 Å) and one longer (3.13 Å) Zr–Co bond lengths. The Zr–Sn bond length is 3.07 Å. In the tenth Zr site, Zr is bonded in a 5-coordinate geometry to four Sn atoms. There are two shorter (2.99 Å) and two longer (3.04 Å) Zr–Sn bond lengths. In the eleventh Zr site, Zr is bonded in a 2-coordinate geometry to two equivalent Co and two equivalent Sn atoms. Both Zr–Co bond lengths are 2.71 Å. Both Zr–Sn bond lengths are 3.19 Å. In the twelfth Zr site, Zr is bonded in a 2-coordinate geometry to two equivalent Co and two equivalent Sn atoms. Both Zr–Co bond lengths are 2.68 Å. Both Zr–Sn bond lengths are 3.12 Å. In the thirteenth Zr site, Zr is bonded in a 5-coordinate geometry to four Sn atoms. There are two shorter (2.99 Å) and two longer (3.02 Å) Zr–Sn bond lengths. In the fourteenth Zr site, Zr is bonded in a 2-coordinate geometry to two equivalent Co and two equivalent Sn atoms. Both Zr–Co bond lengths are 2.67 Å. Both Zr–Sn bond lengths are 3.16 Å. In the fifteenth Zr site, Zr is bonded in a 2-coordinate geometry to two equivalent Co and two equivalent Sn atoms. Both Zr–Co bond lengths are 2.69 Å. Both Zr–Sn bond lengths are 3.21 Å. In the sixteenth Zr site, Zr is bonded in a 5-coordinate geometry to four Sn atoms. There are two shorter (2.98 Å) and two longer (3.02 Å) Zr–Sn bond lengths. In the seventeenth Zr site, Zr is bonded in a 2-coordinate geometry to two equivalent Co and two equivalent Sn atoms. Both Zr–Co bond lengths are 2.68 Å. Both Zr–Sn bond lengths are 3.18 Å. In the eighteenth Zr site, Zr is bonded in a 2-coordinate geometry to two equivalent Co and two equivalent Sn atoms. Both Zr–Co bond lengths are 2.69 Å. Both Zr–Sn bond lengths are 3.20 Å. There are five inequivalent Co sites. In the first Co site, Co is bonded in a 6-coordinate geometry to six Zr atoms. In the second Co site, Co is bonded in a 6-coordinate geometry to six Zr atoms. In the third Co site, Co is bonded in a 6-coordinate geometry to six Zr atoms. In the fourth Co site, Co is bonded in a 6-coordinate geometry to nine Zr atoms. In the fifth Co site, Co is bonded in a 6-coordinate geometry to nine Zr atoms. There are four inequivalent Sn sites. In the first Sn site, Sn is bonded in a 9-coordinate geometry to nine Zr atoms. In the second Sn site, Sn is bonded in a 9-coordinate geometry to nine Zr atoms. In the third Sn site, Sn is bonded in a 9-coordinate geometry to nine Zr atoms. In the fourth Sn site, Sn is bonded in a 9-coordinate geometry to nine Zr atoms.

36 MATERIALS SCIENCE↗