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From Cryogenic to High Temperatures: A Microstructural Evolution of δ-phase Pu-Ga Alloys Investigated by Time-of-Flight High-resolution Neutron Diffraction

Phase stability and phase transformations in binary Pu alloys are critical for multiple applications. Long-term phase stability affects mechanical properties, microstructure, corrosion behavior, and structural integrity. A clear and detailed understanding of phase transformations and phase stability mechanisms is necessary to assess the behavior and response to unexpected stimuli. Gaining advanced knowledge on the behavior of Pu and Pu alloys at a variety of temperatures, pressures, and time will ensure better predictions and control on evolution outside laboratory measurements.

36 MATERIALS SCIENCE↗

Degradation Mechanism Due to Water Ingress Effect on the Top Contact of Cu(In,Ga)Se2 Solar Cells

The impact of moisture ingress on the surface of copper indium gallium diselenide (CIGS) solar cells was studied. While industry-scale modules are encapsulated in specialized polymers and glass, over time, the glass can break and the encapsulant can degrade. During such conditions, water can potentially degrade the interior layers and decrease performance. The first layer the water will come in contact with is the transparent conductive oxide (TCO) layer. To simulate the impact of this moisture ingress, complete devices were immersed in deionized water. To identify the potential sources of degradation, a common window layer for CIGS devices—a bilayer of intrinsic zinc oxide (i-ZnO) and conductive indium tin oxide (ITO)—was deposited. The thin films were then analyzed both pre and post water soaking. To determine the extent of ingress, dynamic secondary ion mass spectroscopy (SIMS) was performed on completed devices to analyze impurity diffusion (predominantly sodium and potassium) in the devices. The results were compared to device measurements, and indicated a degradation of device efficiency (mostly fill factor, contrary to previous studies), potentially due to a modification of the alkali profile.

14 SOLAR ENERGY↗

Materials Data on Ga31Mo6 by Materials Project

Mo6Ga31 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are six inequivalent Mo sites. In the first Mo site, Mo is bonded in a 10-coordinate geometry to ten Ga atoms. There are a spread of Mo–Ga bond distances ranging from 2.56–2.78 Å. In the second Mo site, Mo is bonded in a 10-coordinate geometry to ten Ga atoms. There are a spread of Mo–Ga bond distances ranging from 2.58–2.75 Å. In the third Mo site, Mo is bonded in a 10-coordinate geometry to ten Ga atoms. There are a spread of Mo–Ga bond distances ranging from 2.55–2.82 Å. In the fourth Mo site, Mo is bonded in a 10-coordinate geometry to ten Ga atoms. There are a spread of Mo–Ga bond distances ranging from 2.55–2.74 Å. In the fifth Mo site, Mo is bonded in a 10-coordinate geometry to ten Ga atoms. There are a spread of Mo–Ga bond distances ranging from 2.55–2.79 Å. In the sixth Mo site, Mo is bonded in a 10-coordinate geometry to ten Ga atoms. There are a spread of Mo–Ga bond distances ranging from 2.59–2.97 Å. There are thirty-three inequivalent Ga sites. In the first Ga site, Ga is bonded in a 8-coordinate geometry to eight Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.73–3.02 Å. In the second Ga site, Ga is bonded in a distorted hexagonal bipyramidal geometry to two equivalent Mo and six Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.78–2.82 Å. In the third Ga site, Ga is bonded in a distorted linear geometry to two equivalent Mo and two equivalent Ga atoms. Both Ga–Ga bond lengths are 2.82 Å. In the fourth Ga site, Ga is bonded in a distorted linear geometry to two equivalent Mo and two equivalent Ga atoms. Both Ga–Ga bond lengths are 2.79 Å. In the fifth Ga site, Ga is bonded in a distorted linear geometry to two equivalent Mo atoms. In the sixth Ga site, Ga is bonded in a 2-coordinate geometry to two Mo and six Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.68–2.86 Å. In the seventh Ga site, Ga is bonded in a 2-coordinate geometry to two Mo and one Ga atom. The Ga–Ga bond length is 2.86 Å. In the eighth Ga site, Ga is bonded in a distorted linear geometry to two Mo and two Ga atoms. The Ga–Ga bond length is 2.82 Å. In the ninth Ga site, Ga is bonded in a 2-coordinate geometry to two Mo and six Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.67–2.93 Å. In the tenth Ga site, Ga is bonded in a 2-coordinate geometry to two Mo atoms. In the eleventh Ga site, Ga is bonded in a 2-coordinate geometry to two Mo and two Ga atoms. The Ga–Ga bond length is 2.82 Å. In the twelfth Ga site, Ga is bonded in a 2-coordinate geometry to two Mo and four Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.69–2.98 Å. In the thirteenth Ga site, Ga is bonded in a 2-coordinate geometry to two Mo and three Ga atoms. There are one shorter (2.70 Å) and one longer (2.85 Å) Ga–Ga bond lengths. In the fourteenth Ga site, Ga is bonded in a 2-coordinate geometry to two Mo and seven Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.83–2.99 Å. In the fifteenth Ga site, Ga is bonded in a distorted linear geometry to two Mo and two Ga atoms. The Ga–Ga bond length is 2.80 Å. In the sixteenth Ga site, Ga is bonded in a 2-coordinate geometry to two Mo and four Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.71–2.83 Å. In the seventeenth Ga site, Ga is bonded in a 2-coordinate geometry to two Mo and two Ga atoms. The Ga–Ga bond length is 2.86 Å. In the eighteenth Ga site, Ga is bonded in a 2-coordinate geometry to two Mo and one Ga atom. The Ga–Ga bond length is 2.82 Å. In the nineteenth Ga site, Ga is bonded in a 2-coordinate geometry to two Mo and two Ga atoms. The Ga–Ga bond length is 2.80 Å. In the twentieth Ga site, Ga is bonded in a 2-coordinate geometry to two Mo and seven Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.66–3.04 Å. In the twenty-first Ga site, Ga is bonded in a 2-coordinate geometry to two Mo and three Ga atoms. In the twenty-second Ga site, Ga is bonded in a 2-coordinate geometry to two Mo and one Ga atom. In the twenty-third Ga site, Ga is bonded in a 2-coordinate geometry to two Mo and six Ga atoms. There are one shorter (2.90 Å) and one longer (2.92 Å) Ga–Ga bond lengths. In the twenty-fourth Ga site, Ga is bonded in a 2-coordinate geometry to two Mo and six Ga atoms. In the twenty-fifth Ga site, Ga is bonded in a distorted bent 150 degrees geometry to two Mo and one Ga atom. In the twenty-sixth Ga site, Ga is bonded in a 2-coordinate geometry to two Mo and six Ga atoms. There are one shorter (2.84 Å) and two longer (2.87 Å) Ga–Ga bond lengths. In the twenty-seventh Ga site, Ga is bonded in a 2-coordinate geometry to two Mo and six Ga atoms. The Ga–Ga bond length is 2.80 Å. In the twenty-eighth Ga site, Ga is bonded in a 2-coordinate geometry to two Mo and six Ga atoms. In the twenty-ninth Ga site, Ga is bonded in a distorted bent 150 degrees geometry to two Mo and three Ga atoms. In the thirtieth Ga site, Ga is bonded in a distorted bent 150 degrees geometry to two Mo and two Ga atoms. In the thirty-first Ga site, Ga is bonded in a distorted bent 150 degrees geometry to two Mo and four Ga atoms. In the thirty-second Ga site, Ga is bonded in a distorted bent 150 degrees geometry to two Mo atoms. In the thirty-third Ga site, Ga is bonded in a distorted bent 150 degrees geometry to two Mo atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ga41N11O45 by Materials Project

Ga41N11O45 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are thirty-four inequivalent Ga sites. In the first Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Ga–O bond distances ranging from 1.92–1.97 Å. In the second Ga site, Ga is bonded to one N and five O atoms to form GaNO5 octahedra that share corners with six GaNO3 tetrahedra and edges with six GaN2O4 octahedra. The Ga–N bond length is 1.94 Å. There are three shorter (2.03 Å) and two longer (2.08 Å) Ga–O bond lengths. In the third Ga site, Ga is bonded to one N and five O atoms to form GaNO5 octahedra that share corners with six GaO4 tetrahedra and edges with five GaNO5 octahedra. The Ga–N bond length is 1.93 Å. There are a spread of Ga–O bond distances ranging from 1.97–2.14 Å. In the fourth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Ga–O bond distances ranging from 1.83–2.08 Å. In the fifth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with six GaNO3 tetrahedra and edges with five GaNO5 octahedra. There are a spread of Ga–O bond distances ranging from 1.94–2.13 Å. In the sixth Ga site, Ga is bonded to one N and five O atoms to form GaNO5 octahedra that share corners with six GaNO3 tetrahedra and edges with three GaNO5 octahedra. The Ga–N bond length is 1.96 Å. There are a spread of Ga–O bond distances ranging from 2.01–2.11 Å. In the seventh Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Ga–O bond distances ranging from 1.82–2.04 Å. In the eighth Ga site, Ga is bonded in a 6-coordinate geometry to one N and five O atoms. The Ga–N bond length is 1.95 Å. There are a spread of Ga–O bond distances ranging from 1.86–2.42 Å. In the ninth Ga site, Ga is bonded to one N and five O atoms to form GaNO5 octahedra that share corners with six GaN2O2 tetrahedra and edges with six GaNO5 octahedra. The Ga–N bond length is 1.97 Å. There are a spread of Ga–O bond distances ranging from 1.99–2.11 Å. In the tenth Ga site, Ga is bonded to one N and three O atoms to form corner-sharing GaNO3 tetrahedra. The corner-sharing octahedra tilt angles range from 52–57°. The Ga–N bond length is 1.94 Å. There is one shorter (1.81 Å) and two longer (1.96 Å) Ga–O bond length. In the eleventh Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Ga–O bond distances ranging from 1.90–1.94 Å. In the twelfth Ga site, Ga is bonded to one N and five O atoms to form distorted GaNO5 octahedra that share corners with six GaNO3 tetrahedra and edges with five GaNO5 octahedra. The Ga–N bond length is 1.96 Å. There are a spread of Ga–O bond distances ranging from 1.89–2.29 Å. In the thirteenth Ga site, Ga is bonded to two N and four O atoms to form GaN2O4 octahedra that share corners with six GaN2O2 tetrahedra and edges with six GaNO5 octahedra. There is one shorter (1.97 Å) and one longer (1.98 Å) Ga–N bond length. There are a spread of Ga–O bond distances ranging from 2.04–2.13 Å. In the fourteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with six GaNO3 tetrahedra and edges with six GaNO5 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.09 Å. In the fifteenth Ga site, Ga is bonded to one N and three O atoms to form corner-sharing GaNO3 tetrahedra. The corner-sharing octahedra tilt angles range from 46–62°. The Ga–N bond length is 1.88 Å. There is two shorter (1.85 Å) and one longer (2.04 Å) Ga–O bond length. In the sixteenth Ga site, Ga is bonded to one N and five O atoms to form GaNO5 octahedra that share corners with six GaN2O2 tetrahedra and edges with six GaNO5 octahedra. The Ga–N bond length is 1.93 Å. There are a spread of Ga–O bond distances ranging from 2.04–2.09 Å. In the seventeenth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–60°. There is three shorter (1.93 Å) and one longer (1.95 Å) Ga–O bond length. In the eighteenth Ga site, Ga is bonded to one N and five O atoms to form GaNO5 octahedra that share corners with six GaN2O2 tetrahedra and edges with six GaNO5 octahedra. The Ga–N bond length is 1.95 Å. There are a spread of Ga–O bond distances ranging from 2.05–2.08 Å. In the nineteenth Ga site, Ga is bonded to two N and four O atoms to form GaN2O4 octahedra that share corners with six GaO4 tetrahedra and edges with six GaNO5 octahedra. There is one shorter (1.97 Å) and one longer (1.98 Å) Ga–N bond length. There are a spread of Ga–O bond distances ranging from 2.04–2.13 Å. In the twentieth Ga site, Ga is bonded to two N and two equivalent O atoms to form corner-sharing GaN2O2 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. Both Ga–N bond lengths are 1.91 Å. Both Ga–O bond lengths are 1.97 Å. In the twenty-first Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–60°. There is two shorter (1.93 Å) and two longer (1.94 Å) Ga–O bond length. In the twenty-second Ga site, Ga is bonded to one N and five O atoms to form GaNO5 octahedra that share corners with six GaO4 tetrahedra and edges with six GaNO5 octahedra. The Ga–N bond length is 1.94 Å. There are a spread of Ga–O bond distances ranging from 2.05–2.08 Å. In the twenty-third Ga site, Ga is bonded to one N and five O atoms to form GaNO5 octahedra that share corners with six GaO4 tetrahedra and edges with six GaNO5 octahedra. The Ga–N bond length is 1.94 Å. There are four shorter (2.06 Å) and one longer (2.07 Å) Ga–O bond lengths. In the twenty-fourth Ga site, Ga is bonded to two N and two equivalent O atoms to form corner-sharing GaN2O2 tetrahedra. The corner-sharing octahedra tilt angles range from 52–60°. There is one shorter (1.89 Å) and one longer (1.90 Å) Ga–N bond length. Both Ga–O bond lengths are 1.95 Å. In the twenty-fifth Ga site, Ga is bonded to two N and four O atoms to form GaN2O4 octahedra that share corners with six GaO4 tetrahedra and edges with six GaNO5 octahedra. There is one shorter (1.97 Å) and one longer (1.98 Å) Ga–N bond length. There are a spread of Ga–O bond distances ranging from 2.05–2.13 Å. In the twenty-sixth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–60°. There is two shorter (1.93 Å) and two longer (1.94 Å) Ga–O bond length. In the twenty-seventh Ga site, Ga is bonded to one N and five O atoms to form GaNO5 octahedra that share corners with six GaO4 tetrahedra and edges with six GaNO5 octahedra. The Ga–N bond length is 1.94 Å. There are a spread of Ga–O bond distances ranging from 2.05–2.08 Å. In the twenty-eighth Ga site, Ga is bonded to one N and five O atoms to form GaNO5 octahedra that share corners with six GaO4 tetrahedra and edges with six GaNO5 octahedra. The Ga–N bond length is 1.94 Å. There are two shorter (2.06 Å) and three longer (2.07 Å) Ga–O bond lengths. In the twenty-ninth Ga site, Ga is bonded to two N and four O atoms to form GaN2O4 octahedra that share corners with six GaNO3 tetrahedra and edges with six GaN2O4 octahedra. There is one shorter (1.97 Å) and one longer (1.98 Å) Ga–N bond length. There are a spread of Ga–O bond distances ranging from 2.05–2.12 Å. In the thirtieth Ga site, Ga is bonded to two N and two equivalent O atoms to form corner-sharing GaN2O2 tetrahedra. The corner-sharing octahedra tilt angles range from 52–60°. There is one shorter (1.89 Å) and one longer (1.90 Å) Ga–N bond length. Both Ga–O bond lengths are 1.95 Å. In the thirty-first Ga site, Ga is bonded to one N and five O atoms to form GaNO5 octahedra that share corners with six GaN2O2 tetrahedra and edges with six GaNO5 octahedra. The Ga–N bond length is 1.94 Å. There are a spread of Ga–O bond distances ranging from 2.05–2.08 Å. In the thirty-second Ga site, Ga is bonded to one N and five O atoms to form GaNO5 octahedra that share corners with six GaO4 tetrahedra and edges with six GaN2O4 octahedra. The Ga–N bond length is 1.94 Å. There are three shorter (2.06 Å) and two longer (2.07 Å) Ga–O bond lengths. In the thirty-third Ga site, Ga is bonded to two N and two equivalent O atoms to form corner-sharing GaN2O2 tetrahedra. The corner-sharing octahedra tilt angles range from 52–60°. There is one shorter (1.89 Å) and one longer (1.90 Å) Ga–N bond length. Both Ga–O bond lengths are 1.95 Å. In the thirty-fourth Ga site, Ga is bonded to one N and three O atoms to form corner-sharing GaNO3 tetrahedra. The corner-sharing octahedra tilt angles range from 53–59°. The Ga–N bond length is 1.87 Å. There is one shorter (1.91 Å) and two longer (1.92 Å) Ga–O bond length. There are eleven inequivalent N sites. In the first N site, N is bonded to four Ga atoms to form NGa4 tetrahedra that share corners with two equivalent OGa4 tetrahedra. In the second N site, N is bonded in a rectangular see-saw-like geometry to four Ga atoms. In the third N site, N is bonded to four Ga atoms to form distorted NGa4 trigonal pyramids that share corners with two equivalent OGa4 tetrahedra, corners with three OGa4 trigonal pyramids, and an edgeedge with one OGa4 trigonal pyramid. In the fourth N site, N is bonded in a rectangular see-saw-like geometry to four Ga atoms. In the fifth N site, N is bonded to four Ga atoms to form distorted NGa4 trigonal pyramids that share a cornercorner with one NGa4 trigonal pyramid and corners with nine OGa4 trigonal pyramids. In the sixth N site, N is bonded to four Ga atoms to form distorted NGa4 trigonal pyramids that share a cornercorner with one NGa4 trigonal pyramid, corners with nine OGa4 trigonal pyramids, and an edgeedge with one NGa4 trigonal pyramid. In the seventh N site, N is bonded to four Ga atoms to form distorted NGa4 trigonal pyramids that share a cornercorner with one NGa4 trigonal pyramid, corners with nine OGa4 trigonal pyramids, and an edgeedge with one NGa4 trigonal pyramid. In the eighth N site, N is bonded to four Ga atoms to form distorted NGa4 trigonal pyramids that share a cornercorner with one NGa4 trigonal pyramid, corners with nine OGa4 trigonal pyramids, and an edgeedge with one NGa4 trigonal pyramid. In the ninth N site, N is bonded to four Ga atoms to form distorted NGa4 trigonal pyramids that share a cornercorner with one NGa4 trigonal pyramid, corners with nine OGa4 trigonal pyramids, and an edgeedge with one NGa4 trigonal pyramid. In the tenth N site, N is bonded to four Ga atoms to form distorted NGa4 trigonal pyramids that share a cornercorner with one NGa4 trigonal pyramid, corners with nine OGa4 trigonal pyramids, and an edgeedge with one NGa4 trigonal pyramid. In the eleventh N site, N is bonded to four Ga atoms to form distorted NGa4 trigonal pyramids that share corners with six OGa4 trigonal pyramids and an edgeedge with one NGa4 trigonal pyramid. There are thirty-one inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to four Ga atoms. In the second O site, O is bonded to four Ga atoms to form distorted OGa4 trigonal pyramids that share corners with three OGa4 trigonal pyramids, corners with five NGa4 trigonal pyramids, and edges with three OGa4 trigonal pyramids. In the third O site, O is bonded to four Ga atoms to form distorted OGa4 trigonal pyramids that share corners with three OGa4 trigonal pyramids, corners with five NGa4 trigonal pyramids, and edges with three OGa4 trigonal pyramids. In the fourth O site, O is bonded to four Ga atoms to form distorted OGa4 trigonal pyramids that sha

36 MATERIALS SCIENCE↗

Materials Data on Cr23Ga26Fe3 by Materials Project

Cr23Fe3Ga26 is Bergman Structure: Mg32(Al,Zn)49 Bergman-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-three inequivalent Cr sites. In the first Cr site, Cr is bonded in a 12-coordinate geometry to three Cr, two Fe, and seven Ga atoms. There are a spread of Cr–Cr bond distances ranging from 2.74–2.81 Å. Both Cr–Fe bond lengths are 2.57 Å. There are a spread of Cr–Ga bond distances ranging from 2.54–2.69 Å. In the second Cr site, Cr is bonded in a 12-coordinate geometry to four Cr, one Fe, and seven Ga atoms. There are a spread of Cr–Cr bond distances ranging from 2.55–2.84 Å. The Cr–Fe bond length is 2.58 Å. There are a spread of Cr–Ga bond distances ranging from 2.54–2.70 Å. In the third Cr site, Cr is bonded in a 12-coordinate geometry to four Cr, one Fe, and seven Ga atoms. There are a spread of Cr–Cr bond distances ranging from 2.52–2.82 Å. The Cr–Fe bond length is 2.58 Å. There are a spread of Cr–Ga bond distances ranging from 2.56–2.71 Å. In the fourth Cr site, Cr is bonded in a 12-coordinate geometry to five Cr and seven Ga atoms. There are a spread of Cr–Cr bond distances ranging from 2.52–2.82 Å. There are a spread of Cr–Ga bond distances ranging from 2.56–2.73 Å. In the fifth Cr site, Cr is bonded in a 12-coordinate geometry to four Cr, one Fe, and seven Ga atoms. There are a spread of Cr–Cr bond distances ranging from 2.50–2.82 Å. The Cr–Fe bond length is 2.56 Å. There are a spread of Cr–Ga bond distances ranging from 2.55–2.70 Å. In the sixth Cr site, Cr is bonded in a 12-coordinate geometry to four Cr, one Fe, and seven Ga atoms. There are a spread of Cr–Cr bond distances ranging from 2.56–2.83 Å. The Cr–Fe bond length is 2.61 Å. There are a spread of Cr–Ga bond distances ranging from 2.55–2.70 Å. In the seventh Cr site, Cr is bonded in a 12-coordinate geometry to five Cr and seven Ga atoms. There are two shorter (2.52 Å) and one longer (2.80 Å) Cr–Cr bond lengths. There are a spread of Cr–Ga bond distances ranging from 2.61–2.71 Å. In the eighth Cr site, Cr is bonded in a 12-coordinate geometry to five Cr and seven Ga atoms. There are a spread of Cr–Cr bond distances ranging from 2.50–2.80 Å. There are a spread of Cr–Ga bond distances ranging from 2.59–2.71 Å. In the ninth Cr site, Cr is bonded in a 12-coordinate geometry to four Cr, one Fe, and seven Ga atoms. There are one shorter (2.57 Å) and one longer (2.58 Å) Cr–Cr bond lengths. The Cr–Fe bond length is 2.72 Å. There are a spread of Cr–Ga bond distances ranging from 2.54–2.73 Å. In the tenth Cr site, Cr is bonded in a 12-coordinate geometry to four Cr, one Fe, and seven Ga atoms. There are one shorter (2.54 Å) and one longer (2.56 Å) Cr–Cr bond lengths. The Cr–Fe bond length is 2.74 Å. There are a spread of Cr–Ga bond distances ranging from 2.55–2.73 Å. In the eleventh Cr site, Cr is bonded in a 12-coordinate geometry to four Cr, one Fe, and seven Ga atoms. Both Cr–Cr bond lengths are 2.54 Å. The Cr–Fe bond length is 2.75 Å. There are a spread of Cr–Ga bond distances ranging from 2.56–2.69 Å. In the twelfth Cr site, Cr is bonded in a 12-coordinate geometry to five Cr and seven Ga atoms. There are two shorter (2.53 Å) and one longer (2.79 Å) Cr–Cr bond lengths. There are a spread of Cr–Ga bond distances ranging from 2.58–2.72 Å. In the thirteenth Cr site, Cr is bonded to four Cr, two Fe, and six Ga atoms to form CrCr4Ga6Fe2 cuboctahedra that share faces with two GaCr11Fe cuboctahedra. There are a spread of Cr–Cr bond distances ranging from 2.44–2.58 Å. There are one shorter (2.57 Å) and one longer (2.58 Å) Cr–Fe bond lengths. There are a spread of Cr–Ga bond distances ranging from 2.62–2.64 Å. In the fourteenth Cr site, Cr is bonded to five Cr, one Fe, and six Ga atoms to form CrCr5Ga6Fe cuboctahedra that share a faceface with one FeCr6Ga6 cuboctahedra and faces with two GaCr11Fe cuboctahedra. There are a spread of Cr–Cr bond distances ranging from 2.47–2.55 Å. The Cr–Fe bond length is 2.56 Å. There are a spread of Cr–Ga bond distances ranging from 2.62–2.65 Å. In the fifteenth Cr site, Cr is bonded in a 12-coordinate geometry to five Cr, one Fe, and six Ga atoms. The Cr–Cr bond length is 2.75 Å. The Cr–Fe bond length is 2.71 Å. There are a spread of Cr–Ga bond distances ranging from 2.51–2.73 Å. In the sixteenth Cr site, Cr is bonded in a 12-coordinate geometry to four Cr, two Fe, and six Ga atoms. Both Cr–Fe bond lengths are 2.73 Å. There are a spread of Cr–Ga bond distances ranging from 2.50–2.71 Å. In the seventeenth Cr site, Cr is bonded in a 12-coordinate geometry to five Cr, one Fe, and six Ga atoms. The Cr–Fe bond length is 2.72 Å. There are a spread of Cr–Ga bond distances ranging from 2.52–2.71 Å. In the eighteenth Cr site, Cr is bonded in a 12-coordinate geometry to six Cr and six Ga atoms. There are one shorter (2.74 Å) and one longer (2.75 Å) Cr–Cr bond lengths. There are a spread of Cr–Ga bond distances ranging from 2.55–2.72 Å. In the nineteenth Cr site, Cr is bonded in a 12-coordinate geometry to six Cr and six Ga atoms. There are one shorter (2.72 Å) and one longer (2.73 Å) Cr–Cr bond lengths. There are a spread of Cr–Ga bond distances ranging from 2.54–2.72 Å. In the twentieth Cr site, Cr is bonded in a 12-coordinate geometry to six Cr and six Ga atoms. The Cr–Cr bond length is 2.75 Å. There are a spread of Cr–Ga bond distances ranging from 2.52–2.70 Å. In the twenty-first Cr site, Cr is bonded in a 12-coordinate geometry to six Cr and six Ga atoms. The Cr–Cr bond length is 2.71 Å. There are a spread of Cr–Ga bond distances ranging from 2.53–2.72 Å. In the twenty-second Cr site, Cr is bonded in a 12-coordinate geometry to six Cr and six Ga atoms. There are a spread of Cr–Ga bond distances ranging from 2.51–2.72 Å. In the twenty-third Cr site, Cr is bonded in a 12-coordinate geometry to six Cr and six Ga atoms. There are a spread of Cr–Ga bond distances ranging from 2.51–2.71 Å. There are three inequivalent Fe sites. In the first Fe site, Fe is bonded in a 12-coordinate geometry to five Cr, one Fe, and six Ga atoms. The Fe–Fe bond length is 2.69 Å. There are a spread of Fe–Ga bond distances ranging from 2.47–2.71 Å. In the second Fe site, Fe is bonded to six Cr and six Ga atoms to form distorted FeCr6Ga6 cuboctahedra that share a faceface with one CrCr5Ga6Fe cuboctahedra and a faceface with one GaCr11Fe cuboctahedra. There are a spread of Fe–Ga bond distances ranging from 2.48–2.71 Å. In the third Fe site, Fe is bonded in a 12-coordinate geometry to five Cr, one Fe, and six Ga atoms. There are a spread of Fe–Ga bond distances ranging from 2.47–2.69 Å. There are twenty-six inequivalent Ga sites. In the first Ga site, Ga is bonded in a 1-coordinate geometry to six Cr and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.62–3.01 Å. In the second Ga site, Ga is bonded in a 1-coordinate geometry to six Cr and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.62–3.04 Å. In the third Ga site, Ga is bonded in a 1-coordinate geometry to five Cr, one Fe, and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.65–3.02 Å. In the fourth Ga site, Ga is bonded in a 1-coordinate geometry to five Cr, one Fe, and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.65–3.02 Å. In the fifth Ga site, Ga is bonded in a 1-coordinate geometry to five Cr, one Fe, and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.64–3.03 Å. In the sixth Ga site, Ga is bonded in a 1-coordinate geometry to six Cr and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.62–3.04 Å. In the seventh Ga site, Ga is bonded in a 9-coordinate geometry to four Cr, two Fe, and three Ga atoms. In the eighth Ga site, Ga is bonded in a 1-coordinate geometry to five Cr, one Fe, and three Ga atoms. In the ninth Ga site, Ga is bonded in a 1-coordinate geometry to five Cr, one Fe, and three Ga atoms. In the tenth Ga site, Ga is bonded in a 1-coordinate geometry to six Cr and five Ga atoms. Both Ga–Ga bond lengths are 3.01 Å. In the eleventh Ga site, Ga is bonded in a 1-coordinate geometry to five Cr, one Fe, and three Ga atoms. In the twelfth Ga site, Ga is bonded in a 1-coordinate geometry to five Cr, one Fe, and three Ga atoms. In the thirteenth Ga site, Ga is bonded in a 6-coordinate geometry to five Cr, one Fe, and one Ga atom. In the fourteenth Ga site, Ga is bonded in a 6-coordinate geometry to five Cr, one Fe, and one Ga atom. In the fifteenth Ga site, Ga is bonded in a 6-coordinate geometry to five Cr, one Fe, and one Ga atom. In the sixteenth Ga site, Ga is bonded in a 6-coordinate geometry to six Cr and one Ga atom. In the seventeenth Ga site, Ga is bonded in a 6-coordinate geometry to six Cr and one Ga atom. In the eighteenth Ga site, Ga is bonded in a 6-coordinate geometry to six Cr and two Ga atoms. In the nineteenth Ga site, Ga is bonded in a 6-coordinate geometry to five Cr, one Fe, and one Ga atom. In the twentieth Ga site, Ga is bonded in a 6-coordinate geometry to five Cr, one Fe, and one Ga atom. In the twenty-first Ga site, Ga is bonded in a 6-coordinate geometry to five Cr, one Fe, and one Ga atom. In the twenty-second Ga site, Ga is bonded in a 6-coordinate geometry to six Cr and two Ga atoms. In the twenty-third Ga site, Ga is bonded in a 6-coordinate geometry to six Cr and one Ga atom. In the twenty-fourth Ga site, Ga is bonded in a 11-coordinate geometry to six Cr and one Ga atom. In the twenty-fifth Ga site, Ga is bonded to eleven Cr and one Fe atom to form GaCr11Fe cuboctahedra that share a faceface with one FeCr6Ga6 cuboctahedra and faces with two CrCr4Ga6Fe2 cuboctahedra. In the twenty-sixth Ga site, Ga is bonded to ten Cr and two Fe atoms to form GaCr10Fe2 cuboctahedra that share faces with two CrCr4Ga6Fe2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Na8Ga42O67 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Ho4Ga21Ni10 by Materials Project

Ho4Ni10Ga21 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ho sites. In the first Ho site, Ho is bonded in a 7-coordinate geometry to four Ni and nine Ga atoms. There are two shorter (3.13 Å) and two longer (3.15 Å) Ho–Ni bond lengths. There are a spread of Ho–Ga bond distances ranging from 2.88–3.21 Å. In the second Ho site, Ho is bonded in a 2-coordinate geometry to four Ni and eleven Ga atoms. There are a spread of Ho–Ni bond distances ranging from 2.98–3.14 Å. There are a spread of Ho–Ga bond distances ranging from 2.86–3.40 Å. In the third Ho site, Ho is bonded in a 2-coordinate geometry to four Ni and eleven Ga atoms. There are a spread of Ho–Ni bond distances ranging from 2.98–3.15 Å. There are a spread of Ho–Ga bond distances ranging from 2.86–3.41 Å. In the fourth Ho site, Ho is bonded in a 7-coordinate geometry to four Ni and nine Ga atoms. There are a spread of Ho–Ni bond distances ranging from 3.11–3.15 Å. There are a spread of Ho–Ga bond distances ranging from 2.89–3.20 Å. There are ten inequivalent Ni sites. In the first Ni site, Ni is bonded in a 10-coordinate geometry to two equivalent Ho, one Ni, and seven Ga atoms. The Ni–Ni bond length is 2.72 Å. There are a spread of Ni–Ga bond distances ranging from 2.38–2.57 Å. In the second Ni site, Ni is bonded in a 9-coordinate geometry to nine Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.47–2.61 Å. In the third Ni site, Ni is bonded in a 9-coordinate geometry to nine Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.47–2.60 Å. In the fourth Ni site, Ni is bonded in a 10-coordinate geometry to two equivalent Ho, one Ni, and seven Ga atoms. The Ni–Ni bond length is 2.74 Å. There are a spread of Ni–Ga bond distances ranging from 2.47–2.56 Å. In the fifth Ni site, Ni is bonded in a 10-coordinate geometry to two equivalent Ho and eight Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.46–2.70 Å. In the sixth Ni site, Ni is bonded in a 7-coordinate geometry to two equivalent Ho and seven Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.36–2.62 Å. In the seventh Ni site, Ni is bonded in a 7-coordinate geometry to two equivalent Ho and seven Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.36–2.62 Å. In the eighth Ni site, Ni is bonded in a 10-coordinate geometry to two equivalent Ho and eight Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.47–2.71 Å. In the ninth Ni site, Ni is bonded in a 10-coordinate geometry to two equivalent Ho, one Ni, and seven Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.47–2.55 Å. In the tenth Ni site, Ni is bonded in a 10-coordinate geometry to two equivalent Ho, one Ni, and seven Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.39–2.57 Å. There are twenty-one inequivalent Ga sites. In the first Ga site, Ga is bonded in a 1-coordinate geometry to one Ho, three Ni, and two equivalent Ga atoms. There are one shorter (2.91 Å) and one longer (2.92 Å) Ga–Ga bond lengths. In the second Ga site, Ga is bonded in a 11-coordinate geometry to one Ho, four Ni, and six Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.70–2.89 Å. In the third Ga site, Ga is bonded in a 5-coordinate geometry to two equivalent Ho, three Ni, and one Ga atom. The Ga–Ga bond length is 2.66 Å. In the fourth Ga site, Ga is bonded in a 12-coordinate geometry to three Ho, three Ni, and one Ga atom. The Ga–Ga bond length is 2.68 Å. In the fifth Ga site, Ga is bonded in a 12-coordinate geometry to three Ho, four Ni, and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.82–2.93 Å. In the sixth Ga site, Ga is bonded in a 12-coordinate geometry to three Ho, four Ni, and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.82–2.93 Å. In the seventh Ga site, Ga is bonded in a 5-coordinate geometry to two equivalent Ho, three Ni, and two Ga atoms. There are one shorter (2.66 Å) and one longer (2.87 Å) Ga–Ga bond lengths. In the eighth Ga site, Ga is bonded in a 10-coordinate geometry to one Ho, four Ni, and five Ga atoms. There are one shorter (2.73 Å) and one longer (2.74 Å) Ga–Ga bond lengths. In the ninth Ga site, Ga is bonded in a 12-coordinate geometry to three Ho, four Ni, and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.81–2.94 Å. In the tenth Ga site, Ga is bonded in a 10-coordinate geometry to three Ho, three Ni, and four Ga atoms. In the eleventh Ga site, Ga is bonded in a 11-coordinate geometry to one Ho, four Ni, and six Ga atoms. The Ga–Ga bond length is 2.89 Å. In the twelfth Ga site, Ga is bonded in a 5-coordinate geometry to one Ho, five Ni, and two Ga atoms. In the thirteenth Ga site, Ga is bonded in a 12-coordinate geometry to three Ho, four Ni, and five Ga atoms. There are one shorter (2.81 Å) and two longer (2.87 Å) Ga–Ga bond lengths. In the fourteenth Ga site, Ga is bonded in a 5-coordinate geometry to one Ho, five Ni, and two Ga atoms. In the fifteenth Ga site, Ga is bonded in a 12-coordinate geometry to four Ni and eight Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.57–2.93 Å. In the sixteenth Ga site, Ga is bonded in a 12-coordinate geometry to two equivalent Ho, three Ni, and one Ga atom. In the seventeenth Ga site, Ga is bonded in a 1-coordinate geometry to one Ho, three Ni, and two equivalent Ga atoms. In the eighteenth Ga site, Ga is bonded in a 12-coordinate geometry to three Ho and three Ni atoms. In the nineteenth Ga site, Ga is bonded in a 12-coordinate geometry to two equivalent Ho, three Ni, and one Ga atom. In the twentieth Ga site, Ga is bonded in a 10-coordinate geometry to one Ho, four Ni, and five Ga atoms. In the twenty-first Ga site, Ga is bonded in a 10-coordinate geometry to three Ho, three Ni, and two equivalent Ga atoms.

36 MATERIALS SCIENCE↗

Materials Data on La12Ga23MoO56 by Materials Project

La12MoGa23O56 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent La sites. In the first La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.36–2.92 Å. In the second La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.38–2.94 Å. In the third La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.90 Å. In the fourth La site, La is bonded in a 6-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.40–2.95 Å. In the fifth La site, La is bonded in a 6-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.95 Å. In the sixth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.92 Å. In the seventh La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.38–2.93 Å. In the eighth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.38–2.90 Å. In the ninth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.38–2.95 Å. In the tenth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.41–2.94 Å. In the eleventh La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.38–2.90 Å. In the twelfth La site, La is bonded in a 6-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.97 Å. Mo is bonded to six O atoms to form MoO6 octahedra that share corners with six GaO4 tetrahedra. There is three shorter (1.95 Å) and three longer (1.96 Å) Mo–O bond length. There are twenty-three inequivalent Ga sites. In the first Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.88 Å. In the second Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.88 Å. In the third Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.88 Å. In the fourth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.87 Å. In the fifth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.88 Å. In the sixth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.88 Å. In the seventh Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There is one shorter (1.82 Å) and three longer (1.87 Å) Ga–O bond length. In the eighth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.88 Å. In the ninth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share a cornercorner with one MoO6 octahedra, a cornercorner with one GaO6 octahedra, and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–68°. There are a spread of Ga–O bond distances ranging from 1.84–1.94 Å. In the tenth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with two GaO6 octahedra and corners with two GaO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There is two shorter (1.86 Å) and two longer (1.91 Å) Ga–O bond length. In the eleventh Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share a cornercorner with one MoO6 octahedra, a cornercorner with one GaO6 octahedra, and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–68°. There are a spread of Ga–O bond distances ranging from 1.84–1.93 Å. In the twelfth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share corners with two GaO6 octahedra and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–67°. There are a spread of Ga–O bond distances ranging from 1.85–1.92 Å. In the thirteenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share corners with two GaO6 octahedra and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–67°. There are a spread of Ga–O bond distances ranging from 1.85–1.92 Å. In the fourteenth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share a cornercorner with one MoO6 octahedra, a cornercorner with one GaO6 octahedra, and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 61–68°. There are a spread of Ga–O bond distances ranging from 1.84–1.94 Å. In the fifteenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share corners with two GaO6 octahedra and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–67°. There are a spread of Ga–O bond distances ranging from 1.85–1.92 Å. In the sixteenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share a cornercorner with one MoO6 octahedra, a cornercorner with one GaO6 octahedra, and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–68°. There are a spread of Ga–O bond distances ranging from 1.84–1.94 Å. In the seventeenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share corners with two GaO6 octahedra and corners with two GaO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Ga–O bond distances ranging from 1.86–1.91 Å. In the eighteenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share corners with two GaO6 octahedra and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–67°. There are a spread of Ga–O bond distances ranging from 1.85–1.92 Å. In the nineteenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share a cornercorner with one MoO6 octahedra, a cornercorner with one GaO6 octahedra, and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–68°. There are a spread of Ga–O bond distances ranging from 1.84–1.94 Å. In the twentieth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share a cornercorner with one MoO6 octahedra, a cornercorner with one GaO6 octahedra, and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–68°. There are a spread of Ga–O bond distances ranging from 1.84–1.93 Å. In the twenty-first Ga site, Ga is bonded to six O atoms to form corner-sharing GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 2.02–2.06 Å. In the twenty-second Ga site, Ga is bonded to six O atoms to form corner-sharing GaO6 octahedra. There are five shorter (2.03 Å) and one longer (2.04 Å) Ga–O bond lengths. In the twenty-third Ga site, Ga is bonded to six O atoms to form corner-sharing GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 2.02–2.05 Å. There are fifty-six inequivalent O sites. In the first O site, O is bonded to three La and one Ga atom to form distorted corner-sharing OLa3Ga tetrahedra. In the second O site, O is bonded to three La and one Ga atom to form corner-sharing OLa3Ga tetrahedra. In the third O site, O is bonded to three La and one Ga atom to form distorted corner-sharing OLa3Ga tetrahedra. In the fourth O site, O is bonded to three La and one Ga atom to form distorted corner-sharing OLa3Ga tetrahedra. In the fifth O site, O is bonded to three La and one Ga atom to form distorted corner-sharing OLa3Ga tetrahedra. In the sixth O site, O is bonded to three La and one Ga atom to form corner-sharing OLa3Ga tetrahedra. In the seventh O site, O is bonded to three La and one Ga atom to form distorted corner-sharing OLa3Ga tetrahedra. In the eighth O site, O is bonded to three La and one Ga atom to form distorted corner-sharing OLa3Ga tetrahedra. In the ninth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the tenth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the eleventh O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the twelfth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the thirteenth O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the fourteenth O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the fifteenth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the sixteenth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the seventeenth O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the eighteenth O site, O is bonded in a 2-coordinate geometry to two La and two Ga atoms. In the nineteenth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the twentieth O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the twenty-first O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the twenty-second O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the twenty-third O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the twenty-fourth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the twenty-fifth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the twenty-sixth O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the twenty-seventh O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the twenty-eighth O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the twenty-ninth O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the thirtieth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the thirty-first O site, O is bonded in a 2-coordinate geometry to two La and two Ga atoms. In the thirty-second O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the thirty-third O site, O is bonded in a distorted trigonal planar geometry to one La, one Mo, and one Ga atom. In the thirty-fourth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the thirty-fifth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the thirty-sixth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the thirty-seventh O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the thirty-eighth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the thirty-ninth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the fortieth O site, O is bonded in a distorted trigonal planar geometry to one La, one Mo, and one Ga atom. In the forty-first O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the forty-second O site, O is bonded in a distorted trigonal planar geometry to one La, one Mo, and one Ga atom. In the forty-third O site, O is bonded in a 3-coordinat

36 MATERIALS SCIENCE↗