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DOE OSTI2020

Materials Data on Si2H2O3 by Materials Project

Si2H2O3 is beta Sn structured and crystallizes in the triclinic P1 space group. The structure is zero-dimensional and consists of two Si2H2O3 clusters. In one of the Si2H2O3 clusters, there are ten inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.66–1.78 Å. In the second Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.66–2.08 Å. In the third Si4+ site, Si4+ is bonded in a distorted L-shaped geometry to two O2- atoms. There is one shorter (1.71 Å) and one longer (1.89 Å) Si–O bond length. In the fourth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.80–1.88 Å. In the fifth Si4+ site, Si4+ is bonded in a 2-coordinate geometry to three O2- atoms. There are two shorter (1.72 Å) and one longer (2.28 Å) Si–O bond lengths. In the sixth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.68–2.03 Å. In the seventh Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.71–1.97 Å. In the eighth Si4+ site, Si4+ is bonded in an L-shaped geometry to two O2- atoms. There is one shorter (1.70 Å) and one longer (1.96 Å) Si–O bond length. In the ninth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.67–1.97 Å. In the tenth Si4+ site, Si4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.66–1.85 Å. There are ten inequivalent H1- sites. In the first H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the second H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the third H1- site, H1- is bonded in a distorted single-bond geometry to two O2- atoms. There is one shorter (1.02 Å) and one longer (1.63 Å) H–O bond length. In the fourth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fifth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the sixth H1- site, H1- is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.63 Å) H–O bond length. In the seventh H1- site, H1- is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.03 Å) and one longer (1.56 Å) H–O bond length. In the eighth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.07 Å. In the ninth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the tenth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. There are fifteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted water-like geometry to one Si4+ and one H1- atom. In the second O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Si4+ and one H1- atom. In the fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two Si4+ atoms. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Si4+ and two H1- atoms. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to two Si4+ and one H1- atom. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and two H1- atoms. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Si4+ and one H1- atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Si4+ and two H1- atoms. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In one of the Si2H2O3 clusters, there are ten inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.66–2.12 Å. In the second Si4+ site, Si4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.69–2.00 Å. In the third Si4+ site, Si4+ is bonded in a 2-coordinate geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.69–2.34 Å. In the fourth Si4+ site, Si4+ is bonded in an L-shaped geometry to two O2- atoms. There is one shorter (1.70 Å) and one longer (1.94 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.66–2.10 Å. In the sixth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.70–1.93 Å. In the seventh Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.69–1.88 Å. In the eighth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.69–1.97 Å. In the ninth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.70–1.98 Å. In the tenth Si4+ site, Si4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.66–1.80 Å. There are ten inequivalent H1- sites. In the first H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the second H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the third H1- site, H1- is bonded in a distorted single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the fourth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fifth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the sixth H1- site, H1- is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.03 Å) and one longer (1.56 Å) H–O bond length. In the seventh H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the eighth H1- site, H1- is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.61 Å) H–O bond length. In the ninth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the tenth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. There are fifteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the third O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Si4+ and one H1- atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Si4+ and one H1- atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to two Si4+ and one H1- atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the eleventh O2- site, O2- is bonded in a distorted tetrahedral geometry to two Si4+ and two H1- atoms. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to two Si4+ and two H1- atoms. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Si4+ and one H1- atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Si4+ and one H1- atom. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sr10Cu5Bi10O29 by Materials Project

Bi10Sr10Cu5O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.55–2.97 Å. In the second Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.54–2.98 Å. In the third Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.63–2.98 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.56–3.03 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.48–2.94 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.63–2.95 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.61–2.97 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.62–2.94 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.56–3.17 Å. In the tenth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.62–2.94 Å. In the eleventh Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–2.86 Å. In the twelfth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.64–2.94 Å. In the thirteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–3.06 Å. In the fourteenth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.56–2.97 Å. In the fifteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.51–2.92 Å. In the sixteenth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.60–2.96 Å. In the seventeenth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.60–2.98 Å. In the eighteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.51–3.23 Å. In the nineteenth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–3.16 Å. In the twentieth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.62–2.96 Å. There are ten inequivalent Cu+1.60+ sites. In the first Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with two equivalent CuO6 octahedra and corners with two equivalent CuO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Cu–O bond distances ranging from 1.92–2.68 Å. In the second Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Cu–O bond distances ranging from 1.92–2.68 Å. In the third Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of Cu–O bond distances ranging from 1.92–2.75 Å. In the fourth Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with two equivalent CuO6 octahedra and corners with two equivalent CuO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Cu–O bond distances ranging from 1.90–2.69 Å. In the fifth Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Cu–O bond distances ranging from 1.90–2.64 Å. In the sixth Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Cu–O bond distances ranging from 1.90–2.64 Å. In the seventh Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Cu–O bond distances ranging from 1.92–2.64 Å. In the eighth Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Cu–O bond distances ranging from 1.91–2.72 Å. In the ninth Cu+1.60+ site, Cu+1.60+ is bonded to five O2- atoms to form distorted corner-sharing CuO5 square pyramids. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Cu–O bond distances ranging from 1.89–2.69 Å. In the tenth Cu+1.60+ site, Cu+1.60+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.90–2.72 Å. There are twenty inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.09–2.44 Å. In the second Bi3+ site, Bi3+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Bi–O bond distances ranging from 2.05–2.17 Å. In the third Bi3+ site, Bi3+ is bonded in a water-like geometry to two O2- atoms. There are one shorter (2.13 Å) and one longer (2.21 Å) Bi–O bond lengths. In the fourth Bi3+ site, Bi3+ is bonded in an L-shaped geometry to two O2- atoms. There are one shorter (2.10 Å) and one longer (2.18 Å) Bi–O bond lengths. In the fifth Bi3+ site, Bi3+ is bonded in a single-bond geometry to one O2- atom. The Bi–O bond length is 2.18 Å. In the sixth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.07–2.94 Å. In the seventh Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–2.82 Å. In the eighth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–2.67 Å. In the ninth Bi3+ site, Bi3+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Bi–O bond distances ranging from 2.07–2.22 Å. In the tenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–2.54 Å. In the eleventh Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–2.91 Å. In the twelfth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.06–2.77 Å. In the thirteenth Bi3+ site, Bi3+ is bonded in an L-shaped geometry to two O2- atoms. There are one shorter (2.10 Å) and one longer (2.16 Å) Bi–O bond lengths. In the fourteenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–2.55 Å. In the fifteenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.09–2.53 Å. In the sixteenth Bi3+ site, Bi3+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are one shorter (2.06 Å) and two longer (2.16 Å) Bi–O bond lengths. In the seventeenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.09–2.72 Å. In the eighteenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–2.80 Å. In the nineteenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–2.83 Å. In the twentieth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–2.75 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and two Bi3+ atoms. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Cu+1.60+, and one Bi3+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to three Sr2+, one Cu+1.60+, and one Bi3+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to four Sr2+, one Cu+1.60+, and one Bi3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+, one Cu+1.60+, and one Bi3+ atom. In the sixth O2- site, O2- is bonded to four Sr2+ and two Cu+1.60+ atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Cu2 octahedra. The corner-sharing octahedral tilt angles are 2°. In the seventh O2- site, O2- is bonded to four Sr2+ and two Cu+1.60+ atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Cu+1.60+, and one Bi3+ atom. In the ninth O2- site, O2- is bonded to four Sr2+ and two Cu+1.60+ atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the tenth O2- site, O2- is bonded to four Sr2+ and two Cu+1.60+ atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Cu+1.60+, and one Bi3+ atom. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Cu+1.60+, and one Bi3+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and two Bi3+ atoms. In the fourteenth O2- site, O2- is bonded to four Sr2+ and two Cu+1.60+ atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fifteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Cu+1.60+, and one Bi3+ atom. In the sixteenth O2- site, O2- is bonded to four Sr2+ and two Cu+1.60+ atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the seventeenth O2- site, O2- is bonded to four Sr2+ and two Cu+1.60+ atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Sr2+ and three Bi3+ atoms. In the nineteenth O2- site, O2- is bonded to fo

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on LiNbO3 by Materials Project

LiNbO3 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.58 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.05–2.36 Å. In the third Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.56 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.37 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.36 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.36 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.36 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.40 Å. In the ninth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.36 Å. In the tenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.39 Å. There are ten inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 36–41°. There are a spread of Nb–O bond distances ranging from 1.92–2.16 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 34–39°. There are a spread of Nb–O bond distances ranging from 1.92–2.14 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 34–40°. There are a spread of Nb–O bond distances ranging from 1.92–2.13 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 39–40°. There are a spread of Nb–O bond distances ranging from 1.90–2.17 Å. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 39–40°. There are a spread of Nb–O bond distances ranging from 1.90–2.17 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedral tilt angles are 40°. There are a spread of Nb–O bond distances ranging from 1.90–2.17 Å. In the seventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 39–40°. There are a spread of Nb–O bond distances ranging from 1.90–2.17 Å. In the eighth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedral tilt angles are 40°. There are a spread of Nb–O bond distances ranging from 1.90–2.17 Å. In the ninth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedral tilt angles are 40°. There are a spread of Nb–O bond distances ranging from 1.90–2.17 Å. In the tenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 38–41°. There are a spread of Nb–O bond distances ranging from 1.91–2.18 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Nb5+ atoms. In the second O2- site, O2- is bonded to two Li1+ and two Nb5+ atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two Nb5+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two Nb5+ atoms. In the fifth O2- site, O2- is bonded to two Li1+ and two Nb5+ atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+ and two Nb5+ atoms. In the eighth O2- site, O2- is bonded to two Li1+ and two Nb5+ atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. In the ninth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the tenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the eleventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twelfth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Nb5+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+ and two Nb5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-ninth O2- site, O2- is bonded to two Li1+ and two Nb5+ atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. In the thirtieth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ti5Fe11O24 by Materials Project

Ti5Fe11O24 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 41–63°. There are a spread of Ti–O bond distances ranging from 1.88–2.19 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–63°. There are a spread of Ti–O bond distances ranging from 1.86–2.13 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–63°. There are a spread of Ti–O bond distances ranging from 1.89–2.19 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with nine FeO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 39–63°. There are a spread of Ti–O bond distances ranging from 1.85–2.12 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 46–59°. There are a spread of Ti–O bond distances ranging from 1.85–2.12 Å. There are eleven inequivalent Fe+2.55+ sites. In the first Fe+2.55+ site, Fe+2.55+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four TiO6 octahedra, corners with five FeO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–62°. There are a spread of Fe–O bond distances ranging from 2.10–2.27 Å. In the second Fe+2.55+ site, Fe+2.55+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four TiO6 octahedra, corners with five FeO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–63°. There are a spread of Fe–O bond distances ranging from 2.10–2.22 Å. In the third Fe+2.55+ site, Fe+2.55+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two FeO6 octahedra, corners with seven TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 41–61°. There are a spread of Fe–O bond distances ranging from 1.97–2.15 Å. In the fourth Fe+2.55+ site, Fe+2.55+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four FeO6 octahedra, corners with five TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–63°. There are a spread of Fe–O bond distances ranging from 2.07–2.29 Å. In the fifth Fe+2.55+ site, Fe+2.55+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 47–62°. There are a spread of Fe–O bond distances ranging from 1.96–2.16 Å. In the sixth Fe+2.55+ site, Fe+2.55+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two FeO6 octahedra, corners with seven TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–60°. There are a spread of Fe–O bond distances ranging from 1.98–2.15 Å. In the seventh Fe+2.55+ site, Fe+2.55+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four FeO6 octahedra, corners with five TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–63°. There are a spread of Fe–O bond distances ranging from 2.08–2.27 Å. In the eighth Fe+2.55+ site, Fe+2.55+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–64°. There are a spread of Fe–O bond distances ranging from 1.98–2.17 Å. In the ninth Fe+2.55+ site, Fe+2.55+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with three FeO6 octahedra, corners with six TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–60°. There are a spread of Fe–O bond distances ranging from 1.98–2.20 Å. In the tenth Fe+2.55+ site, Fe+2.55+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two FeO6 octahedra, corners with seven TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 42–64°. There are a spread of Fe–O bond distances ranging from 2.06–2.25 Å. In the eleventh Fe+2.55+ site, Fe+2.55+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Fe–O bond distances ranging from 1.99–2.12 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.55+ atoms. In the second O2- site, O2- is bonded to one Ti4+ and three Fe+2.55+ atoms to form a mixture of distorted corner and edge-sharing OTiFe3 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.55+ atoms. In the fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.55+ atoms. In the fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.55+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Fe+2.55+ atoms. In the seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.55+ atoms. In the eighth O2- site, O2- is bonded to one Ti4+ and three Fe+2.55+ atoms to form a mixture of distorted corner and edge-sharing OTiFe3 trigonal pyramids. In the ninth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.55+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ti4+ and three Fe+2.55+ atoms. In the eleventh O2- site, O2- is bonded to one Ti4+ and three Fe+2.55+ atoms to form distorted corner-sharing OTiFe3 trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.55+ atoms. In the thirteenth O2- site, O2- is bonded to one Ti4+ and three Fe+2.55+ atoms to form a mixture of distorted corner and edge-sharing OTiFe3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.55+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Fe+2.55+ atoms. In the sixteenth O2- site, O2- is bonded to one Ti4+ and three Fe+2.55+ atoms to form a mixture of distorted corner and edge-sharing OTiFe3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.55+ atoms. In the eighteenth O2- site, O2- is bonded to one Ti4+ and three Fe+2.55+ atoms to form a mixture of distorted corner and edge-sharing OTiFe3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.55+ atoms. In the twentieth O2- site, O2- is bonded to one Ti4+ and three Fe+2.55+ atoms to form a mixture of distorted corner and edge-sharing OTiFe3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.55+ atoms. In the twenty-second O2- site, O2- is bonded to one Ti4+ and three Fe+2.55+ atoms to form a mixture of distorted corner and edge-sharing OTiFe3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.55+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Fe+2.55+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Cd9(InSe2)20 by Materials Project

Cd9(InSe2)20 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded to five Se+1.85- atoms to form distorted CdSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with three InSe5 trigonal bipyramids, and edges with four InSe5 trigonal bipyramids. There are a spread of Cd–Se bond distances ranging from 2.64–3.17 Å. In the second Cd2+ site, Cd2+ is bonded to five Se+1.85- atoms to form distorted CdSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with four InSe5 trigonal bipyramids, and edges with four InSe5 trigonal bipyramids. There are a spread of Cd–Se bond distances ranging from 2.63–3.28 Å. In the third Cd2+ site, Cd2+ is bonded to five Se+1.85- atoms to form distorted CdSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with three InSe5 trigonal bipyramids, and edges with four InSe5 trigonal bipyramids. There are a spread of Cd–Se bond distances ranging from 2.64–3.17 Å. In the fourth Cd2+ site, Cd2+ is bonded to five Se+1.85- atoms to form CdSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with two InSe5 trigonal bipyramids, and edges with four InSe5 trigonal bipyramids. There are a spread of Cd–Se bond distances ranging from 2.74–2.87 Å. In the fifth Cd2+ site, Cd2+ is bonded in a 5-coordinate geometry to five Se+1.85- atoms. There are a spread of Cd–Se bond distances ranging from 2.63–3.35 Å. In the sixth Cd2+ site, Cd2+ is bonded to five Se+1.85- atoms to form CdSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with four InSe5 trigonal bipyramids, and edges with three InSe5 trigonal bipyramids. There are a spread of Cd–Se bond distances ranging from 2.71–2.88 Å. In the seventh Cd2+ site, Cd2+ is bonded to five Se+1.85- atoms to form CdSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with four InSe5 trigonal bipyramids, and edges with four InSe5 trigonal bipyramids. There are a spread of Cd–Se bond distances ranging from 2.73–2.87 Å. In the eighth Cd2+ site, Cd2+ is bonded to five Se+1.85- atoms to form CdSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with four InSe5 trigonal bipyramids, and edges with three InSe5 trigonal bipyramids. There are a spread of Cd–Se bond distances ranging from 2.69–2.89 Å. In the ninth Cd2+ site, Cd2+ is bonded to five Se+1.85- atoms to form CdSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with four InSe5 trigonal bipyramids, and edges with four InSe5 trigonal bipyramids. There are a spread of Cd–Se bond distances ranging from 2.72–2.88 Å. There are twenty inequivalent In+2.80+ sites. In the first In+2.80+ site, In+2.80+ is bonded in a 5-coordinate geometry to five Se+1.85- atoms. There are a spread of In–Se bond distances ranging from 2.66–3.30 Å. In the second In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with eight InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.64–3.06 Å. In the third In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with seven InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.65–3.13 Å. In the fourth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with seven InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.65–3.05 Å. In the fifth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with seven InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.67–3.09 Å. In the sixth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with seven InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.65–3.06 Å. In the seventh In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with eight InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.66–3.04 Å. In the eighth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with seven InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.65–3.06 Å. In the ninth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with eight InSe5 trigonal bipyramids, and an edgeedge with one CdSe5 trigonal bipyramid. There are a spread of In–Se bond distances ranging from 2.66–3.02 Å. In the tenth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with seven InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.62–3.11 Å. In the eleventh In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with seven InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.66–3.07 Å. In the twelfth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with seven InSe5 trigonal bipyramids, and an edgeedge with one CdSe5 trigonal bipyramid. There are a spread of In–Se bond distances ranging from 2.63–3.03 Å. In the thirteenth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with seven InSe5 trigonal bipyramids, and an edgeedge with one CdSe5 trigonal bipyramid. There are a spread of In–Se bond distances ranging from 2.65–2.99 Å. In the fourteenth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with seven InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.65–3.02 Å. In the fifteenth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with seven InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.66–3.00 Å. In the sixteenth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with seven InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.66–3.01 Å. In the seventeenth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with eight InSe5 trigonal bipyramids, and an edgeedge with one CdSe5 trigonal bipyramid. There are a spread of In–Se bond distances ranging from 2.65–3.09 Å. In the eighteenth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with eight InSe5 trigonal bipyramids, and an edgeedge with one CdSe5 trigonal bipyramid. There are a spread of In–Se bond distances ranging from 2.66–3.09 Å. In the nineteenth In+2.80+ site, In+2.80+ is bonded in a 5-coordinate geometry to five Se+1.85- atoms. There are a spread of In–Se bond distances ranging from 2.66–3.28 Å. In the twentieth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with six InSe5 trigonal bipyramids, and an edgeedge with one CdSe5 trigonal bipyramid. There are a spread of In–Se bond distances ranging from 2.65–3.02 Å. There are forty inequivalent Se+1.85- sites. In the first Se+1.85- site, Se+1.85- is bonded to one Cd2+ and three In+2.80+ atoms to form distorted SeCdIn3 trigonal pyramids that share a cornercorner with one SeCd2In2 tetrahedra and corners with four SeCdIn3 trigonal pyramids. In the second Se+1.85- site, Se+1.85- is bonded in a 4-coordinate geometry to one Cd2+ and three In+2.80+ atoms. In the third Se+1.85- site, Se+1.85- is bonded in a distorted trigonal non-coplanar geometry to one Cd2+ and two In+2.80+ atoms. In the fourth Se+1.85- site, Se+1.85- is bonded in a 3-coordinate geometry to three In+2.80+ atoms. In the fifth Se+1.85- site, Se+1.85- is bonded in a distorted trigonal non-coplanar geometry to one Cd2+ and two In+2.80+ atoms. In the sixth Se+1.85- site, Se+1.85- is bonded in a 4-coordinate geometry to one Cd2+ and three In+2.80+ atoms. In the seventh Se+1.85- site, Se+1.85- is bonded to one Cd2+ and three In+2.80+ atoms to form distorted SeCdIn3 trigonal pyramids that share a cornercorner with one SeCd2In2 tetrahedra, corners with six SeCdIn3 trigonal pyramids, and an edgeedge with one SeCd2In2 tetrahedra. In the eighth Se+1.85- site, Se+1.85- is bonded in a 4-coordinate geometry to two Cd2+ and two In+2.80+ atoms. In the ninth Se+1.85- site, Se+1.85- is bonded to one Cd2+ and three In+2.80+ atoms to form distorted SeCdIn3 trigonal pyramids that share corners with two SeCd2In2 tetrahedra and corners with six SeCdIn3 trigonal pyramids. In the tenth Se+1.85- site, Se+1.85- is bonded to two Cd2+ and two In+2.80+ atoms to form a mixture of edge and corner-sharing SeCd2In2 tetrahedra. In the eleventh Se+1.85- site, Se+1.85- is bonded to one Cd2+ and three In+2.80+ atoms to form distorted SeCdIn3 trigonal pyramids that share a cornercorner with one SeCd2In2 tetrahedra, corners with six SeCdIn3 trigonal pyramids, and an edgeedge with one SeCd2In2 tetrahedra. In the twelfth Se+1.85- site, Se+1.85- is bonded in a distorted trigonal non-coplanar geometry to one Cd2+ and two In+2.80+ atoms. In the thirteenth Se+1.85- site, Se+1.85- is bonded to one Cd2+ and three In+2.80+ atoms to form distorted SeCdIn3 trigonal pyramids that share corners with two SeCd2In2 tetrahedra and corners with six SeCdIn3 trigonal pyramids. In the fourteenth Se+1.85- site, Se+1.85- is bonded in a distorted T-shaped geometry to one Cd2+ and two In+2.80+ atoms. In the fifteenth Se+1.85- site, Se+1.85- is bonded to one Cd2+ and three In+2.80+ atoms to form distorted SeCdIn3 trigonal pyramids that share a cornercorner with one SeCd2In2 tetrahedra, corners with seven SeCdIn3 trigonal pyramids, and an edgeedge with one SeCd2In2 tetrahedra. In the sixteenth Se+1.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Te2As2SI6(OF6)2 by Materials Project

As8Te7S4I23(O2F11)4TeF3IF1 crystallizes in the triclinic P1 space group. The structure is three-dimensional and consists of one iodine monofluoride molecule, one TeF3 cluster, and one As8Te7S4I23(O2F11)4 framework. In the TeF3 cluster, Te4+ is bonded in a distorted T-shaped geometry to three F1- atoms. There are a spread of Te–F bond distances ranging from 1.92–2.01 Å. There are three inequivalent F1- sites. In the first F1- site, F1- is bonded in a single-bond geometry to one Te4+ atom. In the second F1- site, F1- is bonded in a distorted single-bond geometry to one Te4+ atom. In the third F1- site, F1- is bonded in a single-bond geometry to one Te4+ atom. In the As8Te7S4I23(O2F11)4 framework, there are eight inequivalent As5+ sites. In the first As5+ site, As5+ is bonded in a distorted T-shaped geometry to three F1- atoms. There are a spread of As–F bond distances ranging from 1.77–1.80 Å. In the second As5+ site, As5+ is bonded in a distorted T-shaped geometry to three F1- atoms. All As–F bond lengths are 1.77 Å. In the third As5+ site, As5+ is bonded in a trigonal non-coplanar geometry to two O2- and one F1- atom. There is one shorter (1.78 Å) and one longer (1.85 Å) As–O bond length. The As–F bond length is 1.78 Å. In the fourth As5+ site, As5+ is bonded in a 4-coordinate geometry to four F1- atoms. There are a spread of As–F bond distances ranging from 1.76–2.24 Å. In the fifth As5+ site, As5+ is bonded in a 4-coordinate geometry to three F1- atoms. There are a spread of As–F bond distances ranging from 1.76–2.17 Å. In the sixth As5+ site, As5+ is bonded in a distorted T-shaped geometry to three F1- atoms. There are a spread of As–F bond distances ranging from 1.82–2.13 Å. In the seventh As5+ site, As5+ is bonded in a distorted rectangular see-saw-like geometry to one O2- and three F1- atoms. The As–O bond length is 2.45 Å. There are a spread of As–F bond distances ranging from 1.78–1.80 Å. In the eighth As5+ site, As5+ is bonded in a 3-coordinate geometry to three F1- atoms. There are a spread of As–F bond distances ranging from 1.76–1.89 Å. There are seven inequivalent Te4+ sites. In the first Te4+ site, Te4+ is bonded in a distorted single-bond geometry to two I and one F1- atom. There are one shorter (2.69 Å) and one longer (3.12 Å) Te–I bond lengths. The Te–F bond length is 1.98 Å. In the second Te4+ site, Te4+ is bonded in a distorted single-bond geometry to one I and one F1- atom. The Te–I bond length is 2.64 Å. The Te–F bond length is 1.94 Å. In the third Te4+ site, Te4+ is bonded in a 3-coordinate geometry to one O2- and two F1- atoms. The Te–O bond length is 2.24 Å. There is one shorter (1.94 Å) and one longer (1.96 Å) Te–F bond length. In the fourth Te4+ site, Te4+ is bonded in a 3-coordinate geometry to one O2- and three F1- atoms. The Te–O bond length is 2.17 Å. There are two shorter (2.03 Å) and one longer (2.92 Å) Te–F bond lengths. In the fifth Te4+ site, Te4+ is bonded in a linear geometry to two F1- atoms. There are one shorter (2.01 Å) and one longer (2.30 Å) Te–F bond lengths. In the sixth Te4+ site, Te4+ is bonded in a distorted T-shaped geometry to one I and three F1- atoms. The Te–I bond length is 3.07 Å. There are a spread of Te–F bond distances ranging from 1.93–2.14 Å. In the seventh Te4+ site, Te4+ is bonded in a rectangular see-saw-like geometry to four F1- atoms. There are a spread of Te–F bond distances ranging from 1.95–2.24 Å. There are four inequivalent S2- sites. In the first S2- site, S2- is bonded in a 5-coordinate geometry to two I and three F1- atoms. Both S–I bond lengths are 2.41 Å. There are a spread of S–F bond distances ranging from 2.99–3.52 Å. In the second S2- site, S2- is bonded in a single-bond geometry to one O2- and two I atoms. The S–O bond length is 1.48 Å. There are one shorter (2.56 Å) and one longer (3.16 Å) S–I bond lengths. In the third S2- site, S2- is bonded in a 5-coordinate geometry to one O2-, two I, and two F1- atoms. The S–O bond length is 3.07 Å. There are one shorter (2.35 Å) and one longer (2.38 Å) S–I bond lengths. There are one shorter (3.07 Å) and one longer (3.49 Å) S–F bond lengths. In the fourth S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to two I and one F1- atom. There are one shorter (2.37 Å) and one longer (2.39 Å) S–I bond lengths. The S–F bond length is 2.96 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Te4+ and two I atoms. There are one shorter (2.12 Å) and one longer (2.31 Å) O–I bond lengths. In the second O2- site, O2- is bonded in a distorted single-bond geometry to one S2- and one I atom. The O–I bond length is 3.33 Å. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one I atom. The O–I bond length is 1.83 Å. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one S2- and two I atoms. There are one shorter (2.01 Å) and one longer (2.12 Å) O–I bond lengths. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Te4+ and one I atom. The O–I bond length is 1.97 Å. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one As5+ and one I atom. The O–I bond length is 1.84 Å. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to one As5+ and one I atom. The O–I bond length is 1.96 Å. In the eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one As5+ and one I atom. The O–I bond length is 2.04 Å. There are twenty-three inequivalent I sites. In the first I site, I is bonded in a single-bond geometry to one S2- atom. In the second I site, I is bonded in a distorted single-bond geometry to one O2- atom. In the third I site, I is bonded in a distorted rectangular see-saw-like geometry to one S2- and three F1- atoms. There are a spread of I–F bond distances ranging from 3.19–3.28 Å. In the fourth I site, I is bonded in a distorted L-shaped geometry to one Te4+ and one S2- atom. In the fifth I site, I is bonded in a single-bond geometry to one S2- atom. In the sixth I site, I is bonded in a linear geometry to one O2- and one F1- atom. The I–F bond length is 2.18 Å. In the seventh I site, I is bonded in a linear geometry to two F1- atoms. There are one shorter (2.01 Å) and one longer (2.19 Å) I–F bond lengths. In the eighth I site, I is bonded in a linear geometry to two F1- atoms. There are one shorter (2.06 Å) and one longer (2.28 Å) I–F bond lengths. In the ninth I site, I is bonded in a linear geometry to two F1- atoms. There are one shorter (1.96 Å) and one longer (2.32 Å) I–F bond lengths. In the tenth I site, I is bonded in a 3-coordinate geometry to one Te4+, one O2-, one I, and three F1- atoms. The I–I bond length is 3.13 Å. There are a spread of I–F bond distances ranging from 3.05–3.22 Å. In the eleventh I site, I is bonded in a distorted bent 150 degrees geometry to one Te4+ and one F1- atom. The I–F bond length is 2.86 Å. In the twelfth I site, I is bonded in a 4-coordinate geometry to one Te4+, one I, and two F1- atoms. There are one shorter (3.17 Å) and one longer (3.33 Å) I–F bond lengths. In the thirteenth I site, I is bonded in a distorted single-bond geometry to one O2- atom. In the fourteenth I site, I is bonded in a 2-coordinate geometry to one S2- and one F1- atom. The I–F bond length is 2.86 Å. In the fifteenth I site, I is bonded in a distorted linear geometry to one S2- and one F1- atom. The I–F bond length is 2.54 Å. In the sixteenth I site, I is bonded in a distorted bent 120 degrees geometry to one O2- and one F1- atom. The I–F bond length is 2.87 Å. In the seventeenth I site, I is bonded in a 4-coordinate geometry to one O2- and two F1- atoms. There are one shorter (2.04 Å) and one longer (2.21 Å) I–F bond lengths. In the eighteenth I site, I is bonded in a T-shaped geometry to one O2- and two F1- atoms. There are one shorter (1.98 Å) and one longer (2.10 Å) I–F bond lengths. In the nineteenth I site, I is bonded in a rectangular see-saw-like geometry to one O2- and three F1- atoms. There are a spread of I–F bond distances ranging from 1.92–2.51 Å. In the twentieth I site, I is bonded in a bent 150 degrees geometry to one S2- and one F1- atom. The I–F bond length is 3.13 Å. In the twenty-first I site, I is bonded in a 1-coordinate geometry to one S2- atom. In the twenty-second I site, I is bonded in a linear geometry to one O2- and one F1- atom. The I–F bond length is 2.43 Å. In the twenty-third I site, I is bonded in a distorted linear geometry to one O2- and one F1- atom. The I–F bond length is 2.63 Å. There are forty-four inequivalent F1- sites. In the first F1- site, F1- is bonded in a single-bond geometry to one I atom. In the second F1- site, F1- is bonded in a single-bond geometry to one I atom. In the third F1- site, F1- is bonded in a single-bond geometry to one As5+ atom. In the fourth F1- site, F1- is bonded in a single-bond geometry to one Te4+ and one I atom. In the fifth F1- site, F1- is bonded in a 2-coordinate geometry to three I atoms. In the sixth F1- site, F1- is bonded in a single-bond geometry to one Te4+ atom. In the seventh F1- site, F1- is bonded in a single-bond geometry to one As5+ and one S2- atom. In the eighth F1- site, F1- is bonded in a distorted single-bond geometry to two I atoms. In the ninth F1- site, F1- is bonded in a single-bond geometry to one As5+ atom. In the tenth F1- site, F1- is bonded in a single-bond geometry to one As5+ atom. In the eleventh F1- site, F1- is bonded in a single-bond geometry to one As5+ and one I atom. In the twelfth F1- site, F1- is bonded in a single-bond geometry to one As5+ atom. In the thirteenth F1- site, F1- is bonded in a single-bond geometry to one Te4+ and one I atom. In the fourteenth F1- site, F1- is bonded in a single-bond geometry to one Te4+ atom. In the fifteenth F1- site, F1- is bonded in a 2-coordinate geometry to one S2- and two I atoms. In the sixteenth F1- site, F1- is bonded in a single-bond geometry to one As5+ and one S2- atom. In the seventeenth F1- site, F1- is bonded in a single-bond geometry to one As5+ atom. In the eighteenth F1- site, F1- is bonded in a single-bond geometry to one As5+ atom. In the nineteenth F1- site, F1- is bonded in a distorted bent 120 degrees geometry to one As5+ and one I atom. In the twentieth F1- site, F1- is bonded in a single-bond geometry to one I atom. In the twenty-first F1- site, F1- is bonded in a 3-coordinate geometry to three I atoms. In the twenty-second F1- site, F1- is bonded in a distorted single-bond geometry to one Te4+ and one I atom. In the twenty-third F1- site, F1- is bonded in a distorted single-bond geometry to one As5+ atom. In the twenty-fourth F1- site, F1- is bonded in a bent 120 degrees geometry to one As5+ and one Te4+ atom. In the twenty-fifth F1- site, F1- is bonded in a distorted single-bond geometry to one Te4+ and one S2- atom. In the twenty-sixth F1- site, F1- is bonded in a single-bond geometry to one I atom. In the twenty-seventh F1- site, F1- is bonded in a single-bond geometry to one Te4+ and one I atom. In the twenty-eighth F1- site, F1- is bonded in a distorted single-bond geometry to one Te4+ atom. In the twenty-ninth F1- site, F1- is bonded in a single-bond geometry to one As5+ and one S2- atom. In the thirtieth F1- site, F1- is bonded in a single-bond geometry to one As5+ and one I atom. In the thirty-first F1- site, F1- is bonded in a distorted single-bond geometry to one As5+ and one I atom. In the thirty-second F1- site, F1- is bonded in a bent 120 degrees geometry to one As5+ and one Te4+ atom. In the thirty-third F1- site, F1- is bonded in a bent 120 degrees geometry to one As5+ and one Te4+ atom. In the thirty-fourth F1- site, F1- is bonded in a 2-coordinate geometry to one Te4+ and two I atoms. In the thirty-fifth F1- site, F1- is bonded in a distorted single-bond geometry to one As5+ and one I atom. In the thirty-sixth F1- site, F1- is bonded in a single-bond geometry to o

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Hf–N bond distances ranging from 2.11–2.22 Å. There are one shorter (2.20 Å) and one longer (2.22 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Hf–N bond distances ranging from 2.09–2.17 Å. There are one shorter (2.22 Å) and one longer (2.27 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Hf–N bond distances ranging from 2.12–2.25 Å. There are one shorter (2.11 Å) and one longer (2.24 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.09–2.17 Å. There are one shorter (2.26 Å) and one longer (2.27 Å) Hf–O bond lengths. In the fifth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of corner and edge-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Hf–N bond distances ranging from 2.11–2.22 Å. The Hf–O bond length is 2.29 Å. In the sixth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with five HfN5O octahedra, a cornercorner with one HfN4O2 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Hf–N bond distances ranging from 2.08–2.21 Å. There are one shorter (2.22 Å) and one longer (2.29 Å) Hf–O bond lengths. In the seventh Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted corner and edge-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Hf–N bond distances ranging from 2.13–2.18 Å. There are a spread of Hf–O bond distances ranging from 2.11–2.18 Å. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.13–2.22 Å. There are one shorter (2.13 Å) and one longer (2.21 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Hf–N bond distances ranging from 2.13–2.21 Å. There are one shorter (2.15 Å) and one longer (2.19 Å) Hf–O bond lengths. In the tenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Hf–N bond distances ranging from 2.15–2.19 Å. There are one shorter (2.16 Å) and one longer (2.18 Å) Hf–O bond lengths. In the eleventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Hf–N bond distances ranging from 2.08–2.20 Å. There are one shorter (2.23 Å) and one longer (2.31 Å) Hf–O bond lengths. In the twelfth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted corner and edge-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Hf–N bond distances ranging from 2.10–2.22 Å. The Hf–O bond length is 2.29 Å. In the thirteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Hf–N bond distances ranging from 2.11–2.29 Å. There are one shorter (2.13 Å) and one longer (2.24 Å) Hf–O bond lengths. In the fourteenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of corner and edge-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Hf–N bond distances ranging from 2.08–2.18 Å. There are a spread of Hf–O bond distances ranging from 2.15–2.25 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra, edges with five HfN5O octahedra, and an edgeedge with one HfN4O2 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Hf–N bond distances ranging from 2.09–2.15 Å. There are one shorter (2.29 Å) and one longer (2.32 Å) Hf–O bond lengths. In the sixteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of Hf–N bond distances ranging from 2.12–2.22 Å. There are one shorter (2.20 Å) and one longer (2.21 Å) Hf–O bond lengths. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with nine NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with nine NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three OHf4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the third O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Hf4+ atoms to form distorted OH

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr2N2O by Materials Project

Zr2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.15–2.26 Å. There are one shorter (2.23 Å) and one longer (2.26 Å) Zr–O bond lengths. In the second Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of corner and edge-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Zr–N bond distances ranging from 2.12–2.22 Å. There are one shorter (2.26 Å) and one longer (2.31 Å) Zr–O bond lengths. In the third Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of corner and edge-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are two shorter (2.13 Å) and two longer (2.21 Å) Zr–N bond lengths. Both Zr–O bond lengths are 2.30 Å. In the fourth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form a mixture of corner and edge-sharing ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Zr–N bond distances ranging from 2.13–2.25 Å. The Zr–O bond length is 2.33 Å. In the fifth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Zr–N bond distances ranging from 2.16–2.28 Å. There are one shorter (2.15 Å) and one longer (2.27 Å) Zr–O bond lengths. In the sixth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with five ZrN5O octahedra, a cornercorner with one ZrN4O2 pentagonal pyramid, and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Zr–N bond distances ranging from 2.11–2.24 Å. There are one shorter (2.26 Å) and one longer (2.32 Å) Zr–O bond lengths. In the seventh Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Zr–N bond distances ranging from 2.17–2.26 Å. There are one shorter (2.16 Å) and one longer (2.24 Å) Zr–O bond lengths. In the eighth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted corner and edge-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Zr–N bond distances ranging from 2.17–2.23 Å. There are a spread of Zr–O bond distances ranging from 2.15–2.22 Å. In the ninth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing ZrN4O2 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 50–55°. There are three shorter (2.19 Å) and one longer (2.22 Å) Zr–N bond lengths. There are one shorter (2.20 Å) and one longer (2.22 Å) Zr–O bond lengths. In the tenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Zr–N bond distances ranging from 2.17–2.25 Å. There are one shorter (2.20 Å) and one longer (2.22 Å) Zr–O bond lengths. In the eleventh Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form a mixture of distorted corner and edge-sharing ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Zr–N bond distances ranging from 2.14–2.25 Å. The Zr–O bond length is 2.32 Å. In the twelfth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Zr–N bond distances ranging from 2.11–2.24 Å. There are one shorter (2.27 Å) and one longer (2.34 Å) Zr–O bond lengths. In the thirteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Zr–N bond distances ranging from 2.15–2.32 Å. There are one shorter (2.17 Å) and one longer (2.27 Å) Zr–O bond lengths. In the fourteenth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of corner and edge-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Zr–N bond distances ranging from 2.11–2.23 Å. There are a spread of Zr–O bond distances ranging from 2.18–2.29 Å. In the fifteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra, edges with five ZrN5O octahedra, and an edgeedge with one ZrN4O2 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Zr–N bond distances ranging from 2.13–2.19 Å. There are one shorter (2.32 Å) and one longer (2.34 Å) Zr–O bond lengths. In the sixteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Zr–N bond distances ranging from 2.14–2.26 Å. There are one shorter (2.24 Å) and one longer (2.25 Å) Zr–O bond lengths. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the second N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with nine NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the third N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with four OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with four OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Zr4+ atoms to form NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, and edges with four NZr4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with five OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with five OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with nine NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the second O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, and edges with four NZr4 trigonal pyramids. In the third O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share corners with five OZr4 trigonal pyramids, corners with seven

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li2V3BiO8 by Materials Project

Li2V3BiO8 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three BiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 46–76°. There are a spread of Li–O bond distances ranging from 1.98–2.23 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three BiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 45–73°. There are a spread of Li–O bond distances ranging from 2.01–2.16 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three BiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 43–75°. There are a spread of Li–O bond distances ranging from 2.03–2.20 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three BiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 39–76°. There are a spread of Li–O bond distances ranging from 1.98–2.20 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three BiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 39–76°. There are a spread of Li–O bond distances ranging from 1.99–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three BiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 40–75°. There are a spread of Li–O bond distances ranging from 1.98–2.18 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three BiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 47–74°. There are a spread of Li–O bond distances ranging from 1.99–2.16 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three BiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 45–76°. There are a spread of Li–O bond distances ranging from 2.00–2.21 Å. There are twelve inequivalent V+3.67+ sites. In the first V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two BiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.91–2.04 Å. In the second V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two BiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 2.00–2.15 Å. In the third V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two BiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.92–2.08 Å. In the fourth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two BiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.85–2.07 Å. In the fifth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two BiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.85–2.05 Å. In the sixth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two BiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 2.01–2.13 Å. In the seventh V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two BiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.90–2.06 Å. In the eighth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two BiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.90–2.06 Å. In the ninth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two BiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 2.00–2.15 Å. In the tenth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two BiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 2.01–2.11 Å. In the eleventh V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two BiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.89–2.04 Å. In the twelfth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two BiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.07 Å. There are four inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six VO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.27–2.43 Å. In the second Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six VO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.25–2.47 Å. In the third Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six VO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.30–2.40 Å. In the fourth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six VO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.29–2.45 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.67+, and one Bi3+ atom. In the second O2- site, O2- is bonded to one Li1+, two V+3.67+, and one Bi3+ atom to form distorted OLiV2Bi trigonal pyramids that share corners with three OLiV2Bi trigonal pyramids and an edgeedge with one OLiV3 trigonal pyramid. In the third O2- site, O2- is bonded to one Li1+ and three V+3.67+ atoms to form distorted corner-sharing OLiV3 trigonal pyramids. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two V+3.67+, and one Bi3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.67+, and one Bi3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V+3.67+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.67+, and one Bi3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.67+, and one Bi3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two V+3.67+, and one Bi3+ atom to form distorted OLiV2Bi trigonal pyramids that share a cornercorner with one OLiV3 tetrahedra and corners with four OLiV2Bi trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.67+, and one Bi3+ atom. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V+3.67+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.67+, and one Bi3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.67+, and one Bi3+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+ and three V+3.67+ atoms to form a mixture of distorted edge and corner-sharing OLiV3 tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.67+, and one Bi3+ atom. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V+3.67+, and one Bi3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two V+3.67+, and one Bi3+ atom to form distorted OLiV2Bi trigonal pyramids that share corners with three OLiV2Bi trigonal pyramids and an edgeedge with one OLiV3 tetrahedra. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.67+, and one Bi3+ atom. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V+3.67+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two V+3.67+, and one Bi3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.67+, and one Bi3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V+3.67+ atoms. In the twenty-third O2- site, O2- is bonded to one Li1+, two V+3.67+, and one Bi3+ atom to form distorted corner-sharing OLiV2Bi trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.67+, and one Bi3+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.67+, and one Bi3+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.67+, and one Bi3+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V+3.67+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.67+, and one Bi3+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.67+, and one Bi3+ atom. In the thirtieth O2- site, O2- is bonded to one Li1+ and three V+3.67+ atoms to form a mixture of distorted edge and corner-sharing OLiV3 trigonal pyramids. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.67+, and one Bi3+ atom. In the thirty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.67+, and one Bi3+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sn2N2O by Materials Project

Sn2N2O is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Sn4+ sites. In the first Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form distorted SnN4O2 octahedra that share corners with six SnN3O3 octahedra and edges with six SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Sn–N bond distances ranging from 2.11–2.23 Å. There are one shorter (2.15 Å) and one longer (2.34 Å) Sn–O bond lengths. In the second Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Sn–N bond distances ranging from 2.15–2.19 Å. There are one shorter (2.23 Å) and one longer (2.25 Å) Sn–O bond lengths. In the third Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Sn–N bond distances ranging from 2.09–2.19 Å. There are one shorter (2.34 Å) and one longer (2.35 Å) Sn–O bond lengths. In the fourth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Sn–N bond distances ranging from 2.18–2.24 Å. There are one shorter (2.13 Å) and one longer (2.30 Å) Sn–O bond lengths. In the fifth Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Sn–N bond distances ranging from 2.11–2.19 Å. There are a spread of Sn–O bond distances ranging from 2.13–2.27 Å. In the sixth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Sn–N bond distances ranging from 2.11–2.22 Å. There are one shorter (2.32 Å) and one longer (2.36 Å) Sn–O bond lengths. In the seventh Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Sn–N bond distances ranging from 2.14–2.21 Å. There are one shorter (2.23 Å) and one longer (2.36 Å) Sn–O bond lengths. In the eighth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Sn–N bond distances ranging from 2.16–2.20 Å. There are one shorter (2.21 Å) and one longer (2.28 Å) Sn–O bond lengths. In the ninth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of Sn–N bond distances ranging from 2.13–2.20 Å. There are one shorter (2.25 Å) and one longer (2.29 Å) Sn–O bond lengths. In the tenth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form distorted SnN4O2 octahedra that share corners with six SnN4O2 octahedra and edges with six SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Sn–N bond distances ranging from 2.13–2.21 Å. There are one shorter (2.16 Å) and one longer (2.32 Å) Sn–O bond lengths. In the eleventh Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Sn–N bond distances ranging from 2.09–2.18 Å. There are a spread of Sn–O bond distances ranging from 2.13–2.26 Å. In the twelfth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing SnN5O octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Sn–N bond distances ranging from 2.13–2.24 Å. The Sn–O bond length is 2.37 Å. In the thirteenth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 48–59°. There are a spread of Sn–N bond distances ranging from 2.16–2.21 Å. There are one shorter (2.14 Å) and one longer (2.32 Å) Sn–O bond lengths. In the fourteenth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing SnN5O octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Sn–N bond distances ranging from 2.12–2.24 Å. The Sn–O bond length is 2.37 Å. In the fifteenth Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are two shorter (2.17 Å) and one longer (2.19 Å) Sn–N bond lengths. There are a spread of Sn–O bond distances ranging from 2.11–2.27 Å. In the sixteenth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing SnN5O octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of Sn–N bond distances ranging from 2.11–2.24 Å. The Sn–O bond length is 2.42 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with four NSn4 tetrahedra, a cornercorner with one NSn4 trigonal pyramid, corners with six OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and an edgeedge with one OSn4 trigonal pyramid. In the second N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with six NSn4 tetrahedra, a cornercorner with one OSn4 trigonal pyramid, corners with five NSn4 trigonal pyramids, and edges with four OSn4 trigonal pyramids. In the third N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with four NSn4 tetrahedra, corners with four NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and an edgeedge with one OSn4 trigonal pyramid. In the fourth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with seven NSn4 tetrahedra, a cornercorner with one NSn4 trigonal pyramid, corners with three OSn4 trigonal pyramids, edges with two NSn4 trigonal pyramids, and edges with two OSn4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with three NSn4 tetrahedra, corners with four OSn4 trigonal pyramids, corners with five NSn4 trigonal pyramids, edges with two NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and an edgeedge with one OSn4 trigonal pyramid. In the sixth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with six NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with three OSn4 trigonal pyramids, edges with two NSn4 trigonal pyramids, and edges with two OSn4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with four NSn4 tetrahedra, a cornercorner with one NSn4 trigonal pyramid, corners with six OSn4 trigonal pyramids, edges with three NSn4 tetrahedra, and an edgeedge with one OSn4 trigonal pyramid. In the eighth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with seven NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with two OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with six NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with three OSn4 trigonal pyramids, edges with two NSn4 trigonal pyramids, and edges with two OSn4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with seven NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with two OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with six NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with three OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Sn4+ atoms to form NSn4 trigonal pyramids that share corners with four NSn4 tetrahedra, a cornercorner with one NSn4 trigonal pyramid, corners with six OSn4 trigonal pyramids, edges with three NSn4 tetrahedra, and an edgeedge with one NSn4 trigonal pyramid. In the thirteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with three NSn4 tetrahedra, corners with four NSn4 trigonal pyramids, corners with five OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and an edgeedge with one NSn4 trigonal pyramid. In the fourteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with seven NSn4 tetrahedra, a cornercorner with one NSn4 trigonal pyramid, corners with three OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with six NSn4 tetrahedra, a cornercorner with one OSn4 trigonal pyramid, corners with five NSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with seven NSn4 tetrahedra, a cornercorner with one NSn4 trigonal pyramid, corners with three OSn4 trigonal pyramids, edges with two NSn4 trigonal pyramids, and edges with two OSn4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Sn4+ atoms to form distorted OSn4 trigonal pyramids that share corners with three NSn4 tetrahedra, corners with four OSn4 trigonal pyramids, corners with five NSn4 trigonal pyramids, and edges with three NSn4 tetrahedra. In the second O2- site, O2- is bonded to four Sn4+ atoms to form distorted OSn4 trigonal pyramids that share corners with seven NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with two OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and edges with two NSn4 trigonal pyramids. In the third O2- site, O2- is bonded to four Sn4+ atoms to form distorted OSn4 trigonal pyramids that share corners with three NSn4 tetrahedra, corners with four OSn4 trigonal pyramids, corners with five NSn4 trigonal pyramids, and edges with four NSn4 tetrahedra. In the fourth O2- site, O2- is bonded to four Sn4+ atoms to form distorted OSn4 trigonal pyramids that share corners with four NSn4 tetrahedra, corners with four NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahed

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Hf–N bond distances ranging from 2.11–2.24 Å. There are one shorter (2.12 Å) and one longer (2.23 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Hf–N bond distances ranging from 2.12–2.17 Å. There are one shorter (2.23 Å) and one longer (2.25 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Hf–N bond distances ranging from 2.09–2.20 Å. There are one shorter (2.18 Å) and one longer (2.29 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Hf–N bond distances ranging from 2.13–2.26 Å. There are one shorter (2.12 Å) and one longer (2.21 Å) Hf–O bond lengths. In the fifth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.07–2.13 Å. There are a spread of Hf–O bond distances ranging from 2.18–2.28 Å. In the sixth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.17 Å. Both Hf–O bond lengths are 2.27 Å. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Hf–N bond distances ranging from 2.09–2.17 Å. There are one shorter (2.26 Å) and one longer (2.27 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Hf–N bond distances ranging from 2.10–2.19 Å. There are one shorter (2.23 Å) and one longer (2.27 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.18 Å. There are one shorter (2.24 Å) and one longer (2.26 Å) Hf–O bond lengths. In the tenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are one shorter (2.08 Å) and three longer (2.16 Å) Hf–N bond lengths. There are one shorter (2.20 Å) and one longer (2.32 Å) Hf–O bond lengths. In the eleventh Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Hf–N bond distances ranging from 2.13–2.20 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.16 Å. In the twelfth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Hf–N bond distances ranging from 2.13–2.29 Å. The Hf–O bond length is 2.22 Å. In the thirteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Hf–N bond distances ranging from 2.10–2.27 Å. There are one shorter (2.19 Å) and one longer (2.21 Å) Hf–O bond lengths. In the fourteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Hf–N bond distances ranging from 2.13–2.23 Å. The Hf–O bond length is 2.22 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Hf–N bond distances ranging from 2.10–2.16 Å. There are a spread of Hf–O bond distances ranging from 2.14–2.21 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Hf–N bond distances ranging from 2.12–2.23 Å. The Hf–O bond length is 2.32 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five NHf4 trigonal pyramids, corners with seven OHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, corners with eight NHf4 trigonal pyramids, and edges with four OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five NHf4 trigonal pyramids, corners with seven OHf4 trigonal pyramids, edges with three NHf4 tetrahedra, and an edgeedge with one OHf4 trigonal pyramid. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with five NHf4 trigonal pyramids, corners with seven OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the third O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with five OHf4 trigonal

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.24 Å. There are one shorter (2.18 Å) and one longer (2.27 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.18 Å. There are one shorter (2.23 Å) and one longer (2.26 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.19 Å. There are one shorter (2.23 Å) and one longer (2.28 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.08–2.20 Å. There are one shorter (2.24 Å) and one longer (2.29 Å) Hf–O bond lengths. In the fifth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Hf–N bond distances ranging from 2.13–2.16 Å. There are a spread of Hf–O bond distances ranging from 2.09–2.21 Å. In the sixth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Hf–N bond distances ranging from 2.13–2.21 Å. There are one shorter (2.15 Å) and one longer (2.17 Å) Hf–O bond lengths. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Hf–N bond distances ranging from 2.11–2.22 Å. There are one shorter (2.23 Å) and one longer (2.25 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Hf–N bond distances ranging from 2.07–2.14 Å. There are two shorter (2.19 Å) and one longer (2.30 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Hf–N bond distances ranging from 2.13–2.23 Å. The Hf–O bond length is 2.24 Å. In the tenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.11–2.22 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.19 Å. In the eleventh Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Hf–N bond distances ranging from 2.11–2.25 Å. The Hf–O bond length is 2.31 Å. In the twelfth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Hf–N bond distances ranging from 2.08–2.18 Å. There are one shorter (2.18 Å) and one longer (2.34 Å) Hf–O bond lengths. In the thirteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Hf–N bond distances ranging from 2.09–2.20 Å. There are one shorter (2.26 Å) and one longer (2.28 Å) Hf–O bond lengths. In the fourteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.15–2.20 Å. There are one shorter (2.16 Å) and one longer (2.18 Å) Hf–O bond lengths. In the fifteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Hf–N bond distances ranging from 2.12–2.22 Å. The Hf–O bond length is 2.28 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Hf–N bond distances ranging from 2.11–2.19 Å. There are one shorter (2.20 Å) and one longer (2.24 Å) Hf–O bond lengths. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with six NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with two OHf4 trigonal pyramids, corners with ten NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with six NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with nine NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with nine NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with six NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two OHf4 trigonal pyramids, corners with ten NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the third O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with nine NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with two OHf4 trigonal pyramids, corners with ten NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with two OHf4 trigonal pyramids, corners with ten NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges wi

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are two shorter (2.11 Å) and one longer (2.22 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.14–2.22 Å. In the second Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Hf–N bond distances ranging from 2.09–2.23 Å. There are one shorter (2.20 Å) and one longer (2.27 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.16 Å. Both Hf–O bond lengths are 2.26 Å. In the fourth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are one shorter (2.07 Å) and two longer (2.10 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.20–2.29 Å. In the fifth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form HfN3O3 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Hf–N bond distances ranging from 2.07–2.18 Å. There are a spread of Hf–O bond distances ranging from 2.15–2.26 Å. In the sixth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.15–2.18 Å. There are one shorter (2.15 Å) and one longer (2.19 Å) Hf–O bond lengths. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Hf–N bond distances ranging from 2.14–2.19 Å. Both Hf–O bond lengths are 2.16 Å. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Hf–N bond distances ranging from 2.07–2.17 Å. There are one shorter (2.21 Å) and one longer (2.29 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are one shorter (2.08 Å) and two longer (2.13 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.10–2.29 Å. In the tenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Hf–N bond distances ranging from 2.12–2.26 Å. There are one shorter (2.13 Å) and one longer (2.25 Å) Hf–O bond lengths. In the eleventh Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Hf–N bond distances ranging from 2.14–2.26 Å. The Hf–O bond length is 2.19 Å. In the twelfth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.13–2.20 Å. The Hf–O bond length is 2.26 Å. In the thirteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.23 Å. The Hf–O bond length is 2.29 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Hf–N bond distances ranging from 2.11–2.26 Å. Both Hf–O bond lengths are 2.16 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.24 Å. The Hf–O bond length is 2.33 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Hf–N bond distances ranging from 2.12–2.22 Å. There are one shorter (2.22 Å) and one longer (2.25 Å) Hf–O bond lengths. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with two OHf4 trigonal pyramids, corners with nine NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, and edges with four OHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with two OHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded in a distorted rectangular see-saw-like geometry to four Hf4+ atoms. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and an edgeedge with one OHf4 trigonal pyramid. In the second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the third O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with two OHf4 trigon

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form HfN3O3 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Hf–N bond distances ranging from 2.09–2.13 Å. There are one shorter (2.19 Å) and two longer (2.23 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded to two N3- and four O2- atoms to form a mixture of distorted corner and edge-sharing HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are one shorter (2.11 Å) and one longer (2.14 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.09–2.20 Å. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN5O octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.14–2.22 Å. There are one shorter (2.13 Å) and one longer (2.21 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN5O octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Hf–N bond distances ranging from 2.07–2.11 Å. There are a spread of Hf–O bond distances ranging from 2.19–2.30 Å. In the fifth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Hf–N bond distances ranging from 2.09–2.29 Å. Both Hf–O bond lengths are 2.21 Å. In the sixth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Hf–N bond distances ranging from 2.10–2.20 Å. The Hf–O bond length is 2.33 Å. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Hf–N bond distances ranging from 2.13–2.20 Å. There are one shorter (2.15 Å) and one longer (2.20 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Hf–N bond distances ranging from 2.08–2.17 Å. There are one shorter (2.27 Å) and one longer (2.29 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted corner and edge-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are two shorter (2.11 Å) and one longer (2.19 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.13–2.20 Å. In the tenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN2O4 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Hf–N bond distances ranging from 2.11–2.21 Å. The Hf–O bond length is 2.27 Å. In the eleventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Hf–N bond distances ranging from 2.10–2.24 Å. There are one shorter (2.21 Å) and one longer (2.24 Å) Hf–O bond lengths. In the twelfth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.13–2.21 Å. There are one shorter (2.16 Å) and one longer (2.24 Å) Hf–O bond lengths. In the thirteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted corner and edge-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.20 Å. The Hf–O bond length is 2.31 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Hf–N bond distances ranging from 2.08–2.21 Å. There are one shorter (2.17 Å) and one longer (2.33 Å) Hf–O bond lengths. In the fifteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN2O4 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.13–2.24 Å. The Hf–O bond length is 2.21 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Hf–N bond distances ranging from 2.14–2.25 Å. The Hf–O bond length is 2.20 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and an edgeedge with one OHf4 trigonal pyramid. In the second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the third O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fourth O2- site, O2- is bond

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr2N2O by Materials Project

Zr2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of edge and corner-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Zr–N bond distances ranging from 2.12–2.15 Å. There are a spread of Zr–O bond distances ranging from 2.23–2.28 Å. In the second Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are one shorter (2.15 Å) and two longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.15–2.27 Å. In the third Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with five ZrN3O3 octahedra, a cornercorner with one ZrN3O3 pentagonal pyramid, and edges with six ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Zr–N bond distances ranging from 2.17–2.26 Å. There are one shorter (2.18 Å) and one longer (2.24 Å) Zr–O bond lengths. In the fourth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with six ZrN5O octahedra, edges with five ZrN3O3 octahedra, and an edgeedge with one ZrN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Zr–N bond distances ranging from 2.11–2.14 Å. There are one shorter (2.22 Å) and two longer (2.34 Å) Zr–O bond lengths. In the fifth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 pentagonal pyramids that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Zr–N bond distances ranging from 2.09–2.22 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.27 Å. In the sixth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form a mixture of edge and corner-sharing ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Zr–N bond distances ranging from 2.13–2.25 Å. The Zr–O bond length is 2.35 Å. In the seventh Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra, edges with five ZrN4O2 octahedra, and an edgeedge with one ZrN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Zr–N bond distances ranging from 2.18–2.23 Å. There are one shorter (2.18 Å) and one longer (2.22 Å) Zr–O bond lengths. In the eighth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with five ZrN4O2 octahedra, a cornercorner with one ZrN3O3 pentagonal pyramid, and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Zr–N bond distances ranging from 2.11–2.22 Å. Both Zr–O bond lengths are 2.32 Å. In the ninth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are two shorter (2.14 Å) and one longer (2.25 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.16–2.24 Å. In the tenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are two shorter (2.18 Å) and two longer (2.22 Å) Zr–N bond lengths. There are one shorter (2.19 Å) and one longer (2.20 Å) Zr–O bond lengths. In the eleventh Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 52–60°. There are a spread of Zr–N bond distances ranging from 2.15–2.28 Å. The Zr–O bond length is 2.28 Å. In the twelfth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Zr–N bond distances ranging from 2.17–2.24 Å. There are one shorter (2.20 Å) and one longer (2.25 Å) Zr–O bond lengths. In the thirteenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Zr–N bond distances ranging from 2.15–2.23 Å. The Zr–O bond length is 2.32 Å. In the fourteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.12–2.20 Å. There are one shorter (2.33 Å) and one longer (2.37 Å) Zr–O bond lengths. In the fifteenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Zr–N bond distances ranging from 2.17–2.28 Å. The Zr–O bond length is 2.24 Å. In the sixteenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form distorted ZrN5O octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Zr–N bond distances ranging from 2.19–2.27 Å. The Zr–O bond length is 2.23 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with four NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the second N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with two NZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the third N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with three NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with three NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with two NZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with six NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, edges with two NZr4 tetrahedra, and edges with two NZr4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with three NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with three NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with three NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and an edgeedge with one OZr4 trigonal pyramid. In the fifteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with three NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share corners with six NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, edges with two NZr4 tetrahedra, and edges with two NZr4 trigonal pyramids. In the second O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share corners with six NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, and edges with three NZr4 trigonal pyramids. In the third O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and an edgeedge with one OZr4 trigonal pyramid. In the fourth O2- sit

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li2Cr3CuO8 by Materials Project

Li2Cr3CuO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 1.96–1.99 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.95–2.03 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 1.97–1.99 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There is two shorter (1.99 Å) and two longer (2.00 Å) Li–O bond length. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There is one shorter (1.97 Å) and three longer (1.99 Å) Li–O bond length. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. There are twelve inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.03 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.90–1.98 Å. In the third Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.96–2.04 Å. In the fourth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.01 Å. In the fifth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.01 Å. In the sixth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.88–1.99 Å. In the seventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.03 Å. In the eighth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.89–1.99 Å. In the ninth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.01 Å. In the tenth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.90–2.00 Å. In the eleventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.01 Å. In the twelfth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.03 Å. There are four inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.02–2.07 Å. In the second Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.01–2.07 Å. In the third Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.03–2.07 Å. In the fourth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.01–2.09 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the second O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted corner-sharing OLiCr2Cu trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form a mixture of distorted edge and corner-sharing OLiCr3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted OLiCr2Cu trigonal pyramids that share a cornercorner with one OLiCr2Cu tetrahedra, corners with three OLiCr2Cu trigonal pyramids, and an edgeedge with one OLiCr3 trigonal pyramid. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the sixth O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form a mixture of distorted edge and corner-sharing OLiCr3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OLiCr2Cu trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the sixteenth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted OLiCr2Cu trigonal pyramids that share corners with four OLiCr2Cu trigonal pyramids, an edgeedge with one OLiCr2Cu tetrahedra, and an edgeedge with one OLiCr3 trigonal pyramid. In the seventeenth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted OLiCr2Cu trigonal pyramids that share a cornercorner with one OLiCr2Cu tetrahedra, a cornercorner with one OLiCr3 trigonal pyramid, and an edgeedge with one OLiCr2Cu trigonal pyramid. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form a mixture of distorted edge and corner-sharing OLiCr3 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-first O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted OLiCr2Cu tetrahedra that share corners with two OLiCr2Cu trigonal pyramids and edges with two OLiCr3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the thirty-second O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OLiCr2Cu trigonal pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form HfN3O3 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.09–2.13 Å. There are a spread of Hf–O bond distances ranging from 2.19–2.25 Å. In the second Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Hf–N bond distances ranging from 2.08–2.21 Å. There are one shorter (2.13 Å) and two longer (2.19 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN5O octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Hf–N bond distances ranging from 2.08–2.18 Å. There are one shorter (2.29 Å) and one longer (2.33 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN5O octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Hf–N bond distances ranging from 2.11–2.17 Å. There are two shorter (2.15 Å) and one longer (2.20 Å) Hf–O bond lengths. In the fifth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted corner and edge-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Hf–N bond distances ranging from 2.08–2.19 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.20 Å. In the sixth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted corner and edge-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Hf–N bond distances ranging from 2.10–2.21 Å. There are two shorter (2.14 Å) and one longer (2.20 Å) Hf–O bond lengths. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Hf–N bond distances ranging from 2.11–2.19 Å. There are one shorter (2.24 Å) and one longer (2.25 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of corner and edge-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Hf–N bond distances ranging from 2.15–2.20 Å. The Hf–O bond length is 2.24 Å. In the ninth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Hf–N bond distances ranging from 2.10–2.23 Å. The Hf–O bond length is 2.39 Å. In the tenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.18 Å. There are one shorter (2.20 Å) and one longer (2.29 Å) Hf–O bond lengths. In the eleventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.09–2.18 Å. There are one shorter (2.27 Å) and one longer (2.28 Å) Hf–O bond lengths. In the twelfth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Hf–N bond distances ranging from 2.10–2.19 Å. There are one shorter (2.17 Å) and one longer (2.23 Å) Hf–O bond lengths. In the thirteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.18 Å. Both Hf–O bond lengths are 2.25 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Hf–N bond distances ranging from 2.09–2.21 Å. There are one shorter (2.22 Å) and one longer (2.28 Å) Hf–O bond lengths. In the fifteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted corner and edge-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Hf–N bond distances ranging from 2.13–2.23 Å. The Hf–O bond length is 2.22 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to six N3- atoms to form a mixture of distorted corner and edge-sharing HfN6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Hf–N bond distances ranging from 2.15–2.27 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, and edges with four OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with four OHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with four OHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with five NHf4 trigonal pyramids, corners with seven OHf4 trigonal pyramids, edges with two NHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with four NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with four OHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five NHf4 trigonal pyramids, corners with seven OHf4 trigonal pyramids, edges with three NHf4 tetrahedra, and an edgeedge with one NHf4 trigonal pyramid. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with five OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with five NHf4 trigonal pyramids, corners with seven OHf4 trigonal pyramids, edges with two NHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, edges with two NHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the third O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with five OHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the fifth O2-

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of corner and edge-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Hf–N bond distances ranging from 2.08–2.12 Å. There are a spread of Hf–O bond distances ranging from 2.19–2.25 Å. In the second Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted corner and edge-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are one shorter (2.12 Å) and two longer (2.15 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.10–2.25 Å. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with five HfN3O3 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Hf–N bond distances ranging from 2.13–2.22 Å. There are one shorter (2.14 Å) and one longer (2.20 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN4O2 octahedra, edges with five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Hf–N bond distances ranging from 2.07–2.11 Å. There are a spread of Hf–O bond distances ranging from 2.17–2.32 Å. In the fifth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 pentagonal pyramids that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Hf–N bond distances ranging from 2.07–2.19 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.23 Å. In the sixth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are two shorter (2.14 Å) and two longer (2.19 Å) Hf–N bond lengths. There are one shorter (2.15 Å) and one longer (2.17 Å) Hf–O bond lengths. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.13–2.21 Å. There are one shorter (2.16 Å) and one longer (2.22 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted corner and edge-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Hf–N bond distances ranging from 2.10–2.21 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.19 Å. In the ninth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with five HfN4O2 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Hf–N bond distances ranging from 2.08–2.18 Å. Both Hf–O bond lengths are 2.28 Å. In the tenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted corner and edge-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 52–60°. There are a spread of Hf–N bond distances ranging from 2.12–2.25 Å. The Hf–O bond length is 2.25 Å. In the eleventh Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of corner and edge-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Hf–N bond distances ranging from 2.10–2.21 Å. The Hf–O bond length is 2.32 Å. In the twelfth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN3O3 octahedra, edges with five HfN4O2 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Hf–N bond distances ranging from 2.14–2.20 Å. There are one shorter (2.15 Å) and one longer (2.18 Å) Hf–O bond lengths. In the thirteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted corner and edge-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Hf–N bond distances ranging from 2.10–2.20 Å. The Hf–O bond length is 2.30 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted corner and edge-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Hf–N bond distances ranging from 2.13–2.25 Å. The Hf–O bond length is 2.21 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Hf–N bond distances ranging from 2.08–2.17 Å. There are one shorter (2.30 Å) and one longer (2.35 Å) Hf–O bond lengths. In the sixteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Hf–N bond distances ranging from 2.15–2.23 Å. The Hf–O bond length is 2.19 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with four NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with four NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and an edgeedge with one OHf4 trigonal pyramid. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and an edgeedge with one OHf4 trigonal pyramid. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, edges with two NHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with four NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with three NHf4 tetrahedra, and an edgeedge with one OHf4 trigonal pyramid. In the third O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, edges with two NHf4

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