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DOE OSTI2020

Materials Data on ScFeGe2 by Materials Project

ScFeGe2 crystallizes in the orthorhombic Pbam space group. The structure is three-dimensional. there are two inequivalent Sc sites. In the first Sc site, Sc is bonded in a 8-coordinate geometry to one Fe and eight Ge atoms. The Sc–Fe bond length is 3.07 Å. There are a spread of Sc–Ge bond distances ranging from 2.72–2.99 Å. In the second Sc site, Sc is bonded in a 7-coordinate geometry to two equivalent Fe and seven Ge atoms. Both Sc–Fe bond lengths are 3.07 Å. There are a spread of Sc–Ge bond distances ranging from 2.76–2.92 Å. There are two inequivalent Fe sites. In the first Fe site, Fe is bonded in a 12-coordinate geometry to one Fe and six Ge atoms. The Fe–Fe bond length is 2.63 Å. There are a spread of Fe–Ge bond distances ranging from 2.40–2.57 Å. In the second Fe site, Fe is bonded to four Sc, two equivalent Fe, and six Ge atoms to form a mixture of distorted edge and face-sharing FeSc4Fe2Ge6 cuboctahedra. There are a spread of Fe–Ge bond distances ranging from 2.49–2.54 Å. There are five inequivalent Ge sites. In the first Ge site, Ge is bonded in a 9-coordinate geometry to six Sc, two equivalent Fe, and one Ge atom. The Ge–Ge bond length is 2.60 Å. In the second Ge site, Ge is bonded in a 2-coordinate geometry to four equivalent Sc, two equivalent Fe, and one Ge atom. The Ge–Ge bond length is 2.65 Å. In the third Ge site, Ge is bonded in a 9-coordinate geometry to five Sc and four Fe atoms. In the fourth Ge site, Ge is bonded in a 6-coordinate geometry to two equivalent Sc and four Fe atoms. In the fifth Ge site, Ge is bonded in a 7-coordinate geometry to three Sc, three Fe, and one Ge atom. The Ge–Ge bond length is 2.54 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sc5Ga3 by Materials Project

Sc5Ga3 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are four inequivalent Sc sites. In the first Sc site, Sc is bonded in a 6-coordinate geometry to six Ga atoms. There are a spread of Sc–Ga bond distances ranging from 2.84–2.97 Å. In the second Sc site, Sc is bonded in a 5-coordinate geometry to five Ga atoms. There are a spread of Sc–Ga bond distances ranging from 2.84–3.39 Å. In the third Sc site, Sc is bonded in a 4-coordinate geometry to five Ga atoms. There are a spread of Sc–Ga bond distances ranging from 2.84–3.52 Å. In the fourth Sc site, Sc is bonded in a 6-coordinate geometry to six Ga atoms. There are a spread of Sc–Ga bond distances ranging from 2.83–2.95 Å. There are two inequivalent Ga sites. In the first Ga site, Ga is bonded in a 10-coordinate geometry to nine Sc and one Ga atom. The Ga–Ga bond length is 2.90 Å. In the second Ga site, Ga is bonded in a 9-coordinate geometry to nine Sc atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mg16ScAl12 by Materials Project

Mg16ScAl12 is gamma-brass-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are ten inequivalent Mg sites. In the first Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.09–3.20 Å. There are a spread of Mg–Al bond distances ranging from 2.90–3.16 Å. In the second Mg site, Mg is bonded in a 10-coordinate geometry to three Mg, one Sc, and six Al atoms. There are two shorter (3.05 Å) and one longer (3.16 Å) Mg–Mg bond lengths. The Mg–Sc bond length is 3.06 Å. There are a spread of Mg–Al bond distances ranging from 3.07–3.14 Å. In the third Mg site, Mg is bonded in a 11-coordinate geometry to four Mg, one Sc, and six Al atoms. There are two shorter (3.03 Å) and one longer (3.17 Å) Mg–Mg bond lengths. The Mg–Sc bond length is 3.53 Å. There are a spread of Mg–Al bond distances ranging from 3.07–3.13 Å. In the fourth Mg site, Mg is bonded in a 1-coordinate geometry to four Mg and twelve Al atoms. Both Mg–Mg bond lengths are 3.11 Å. There are a spread of Mg–Al bond distances ranging from 3.15–3.26 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to six Mg, one Sc, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.06–3.16 Å. The Mg–Sc bond length is 3.14 Å. There are a spread of Mg–Al bond distances ranging from 2.92–3.22 Å. In the sixth Mg site, Mg is bonded in a 12-coordinate geometry to six Mg, one Sc, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.12–3.17 Å. The Mg–Sc bond length is 3.20 Å. There are a spread of Mg–Al bond distances ranging from 2.90–3.19 Å. In the seventh Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. There are two shorter (3.15 Å) and one longer (3.21 Å) Mg–Mg bond lengths. There are a spread of Mg–Al bond distances ranging from 2.90–3.16 Å. In the eighth Mg site, Mg is bonded in a 10-coordinate geometry to four Mg and six Al atoms. There are one shorter (3.04 Å) and one longer (3.06 Å) Mg–Mg bond lengths. There are a spread of Mg–Al bond distances ranging from 3.05–3.15 Å. In the ninth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. The Mg–Mg bond length is 3.12 Å. There are a spread of Mg–Al bond distances ranging from 2.90–3.22 Å. In the tenth Mg site, Mg is bonded in a 12-coordinate geometry to six Mg, one Sc, and five Al atoms. The Mg–Sc bond length is 3.20 Å. There are a spread of Mg–Al bond distances ranging from 2.89–3.18 Å. Sc is bonded in a 12-coordinate geometry to eight Mg and five Al atoms. There are a spread of Sc–Al bond distances ranging from 2.91–3.06 Å. There are seven inequivalent Al sites. In the first Al site, Al is bonded in a 11-coordinate geometry to seven Mg, one Sc, and three Al atoms. There are one shorter (2.70 Å) and two longer (2.77 Å) Al–Al bond lengths. In the second Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. Both Al–Al bond lengths are 2.80 Å. In the third Al site, Al is bonded in a 11-coordinate geometry to seven Mg, one Sc, and three Al atoms. There are a spread of Al–Al bond distances ranging from 2.69–2.78 Å. In the fourth Al site, Al is bonded in a 11-coordinate geometry to seven Mg, one Sc, and three Al atoms. There are one shorter (2.72 Å) and one longer (2.76 Å) Al–Al bond lengths. In the fifth Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are one shorter (2.68 Å) and one longer (2.77 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. The Al–Al bond length is 2.74 Å. In the seventh Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr4Sc5N10 by Materials Project

Sc5Zr4N10 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are three inequivalent Sc+2.80+ sites. In the first Sc+2.80+ site, Sc+2.80+ is bonded to six N3- atoms to form ScN6 octahedra that share corners with two equivalent ZrN6 octahedra, corners with four ScN6 octahedra, edges with five ZrN6 octahedra, and edges with six ScN6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Sc–N bond distances ranging from 2.25–2.30 Å. In the second Sc+2.80+ site, Sc+2.80+ is bonded to six N3- atoms to form ScN6 octahedra that share corners with two equivalent ZrN6 octahedra, corners with three equivalent ScN6 octahedra, edges with three ZrN6 octahedra, and edges with nine ScN6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Sc–N bond distances ranging from 2.17–2.33 Å. In the third Sc+2.80+ site, Sc+2.80+ is bonded to six N3- atoms to form ScN6 octahedra that share corners with two equivalent ZrN6 octahedra, corners with four ScN6 octahedra, edges with two equivalent ZrN6 octahedra, and edges with ten ScN6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Sc–N bond distances ranging from 2.25–2.30 Å. There are two inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six N3- atoms to form ZrN6 octahedra that share corners with three ScN6 octahedra, corners with three equivalent ZrN6 octahedra, edges with three ScN6 octahedra, and edges with six ZrN6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Zr–N bond distances ranging from 2.24–2.31 Å. In the second Zr4+ site, Zr4+ is bonded to six N3- atoms to form ZrN6 octahedra that share corners with two equivalent ScN6 octahedra, corners with three equivalent ZrN6 octahedra, edges with four equivalent ZrN6 octahedra, and edges with six ScN6 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of Zr–N bond distances ranging from 2.17–2.35 Å. There are six inequivalent N3- sites. In the first N3- site, N3- is bonded to four Sc+2.80+ and two Zr4+ atoms to form NZr2Sc4 octahedra that share corners with four NZr2Sc4 octahedra, corners with two equivalent NZr4Sc square pyramids, edges with six NZrSc5 octahedra, and edges with five NZr3Sc2 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the second N3- site, N3- is bonded to five Sc+2.80+ and one Zr4+ atom to form NZrSc5 octahedra that share corners with three equivalent NZrSc5 octahedra, corners with two equivalent NZr3Sc2 square pyramids, edges with nine NZr2Sc4 octahedra, and edges with three NZr3Sc2 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the third N3- site, N3- is bonded to two Sc+2.80+ and three Zr4+ atoms to form NZr3Sc2 square pyramids that share corners with two equivalent NZrSc5 octahedra, corners with four NZr4Sc square pyramids, edges with six NZr2Sc4 octahedra, and edges with two equivalent NZr4Sc square pyramids. The corner-sharing octahedra tilt angles range from 2–4°. In the fourth N3- site, N3- is bonded to six Sc+2.80+ atoms to form NSc6 octahedra that share corners with four NZr2Sc4 octahedra, corners with two equivalent NZr4Sc square pyramids, edges with ten NZr2Sc4 octahedra, and edges with two equivalent NZr3Sc2 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the fifth N3- site, N3- is bonded to one Sc+2.80+ and four Zr4+ atoms to form NZr4Sc square pyramids that share corners with three NZr2Sc4 octahedra, corners with four NZr3Sc2 square pyramids, edges with three NZr2Sc4 octahedra, and edges with four NZr3Sc2 square pyramids. The corner-sharing octahedra tilt angles range from 2–4°. In the sixth N3- site, N3- is bonded in a square co-planar geometry to four Zr4+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sc5Sb3 by Materials Project

Sc5Sb3 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are four inequivalent Sc sites. In the first Sc site, Sc is bonded to five Sb atoms to form distorted ScSb5 square pyramids that share corners with five equivalent ScSb6 octahedra, corners with four equivalent ScSb5 trigonal bipyramids, an edgeedge with one ScSb6 octahedra, edges with two equivalent ScSb5 square pyramids, an edgeedge with one ScSb5 trigonal bipyramid, a faceface with one ScSb6 octahedra, and a faceface with one ScSb5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 38–46°. There are a spread of Sc–Sb bond distances ranging from 2.95–3.00 Å. In the second Sc site, Sc is bonded to five Sb atoms to form distorted ScSb5 trigonal bipyramids that share corners with six equivalent ScSb6 octahedra, corners with four equivalent ScSb5 square pyramids, edges with two equivalent ScSb6 octahedra, an edgeedge with one ScSb5 square pyramid, edges with two equivalent ScSb5 trigonal bipyramids, and a faceface with one ScSb5 square pyramid. The corner-sharing octahedra tilt angles range from 31–42°. There are a spread of Sc–Sb bond distances ranging from 2.89–3.11 Å. In the third Sc site, Sc is bonded to six Sb atoms to form distorted ScSb6 octahedra that share corners with five equivalent ScSb5 square pyramids, corners with six equivalent ScSb5 trigonal bipyramids, an edgeedge with one ScSb5 square pyramid, edges with two equivalent ScSb5 trigonal bipyramids, faces with two equivalent ScSb6 octahedra, and a faceface with one ScSb5 square pyramid. There are a spread of Sc–Sb bond distances ranging from 2.91–3.18 Å. In the fourth Sc site, Sc is bonded in a 5-coordinate geometry to five Sb atoms. There are a spread of Sc–Sb bond distances ranging from 2.87–3.24 Å. There are two inequivalent Sb sites. In the first Sb site, Sb is bonded in a 8-coordinate geometry to eight Sc atoms. In the second Sb site, Sb is bonded in a 9-coordinate geometry to nine Sc atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ba3Sc4 by Materials Project

Ba3Sc4 crystallizes in the trigonal R-3m space group. The structure is three-dimensional. there are two inequivalent Ba sites. In the first Ba site, Ba is bonded in a body-centered cubic geometry to eight Sc atoms. There are six shorter (3.68 Å) and two longer (3.82 Å) Ba–Sc bond lengths. In the second Ba site, Ba is bonded in a 7-coordinate geometry to ten Sc atoms. There are a spread of Ba–Sc bond distances ranging from 3.55–4.07 Å. There are two inequivalent Sc sites. In the first Sc site, Sc is bonded in a body-centered cubic geometry to seven Ba and one Sc atom. The Sc–Sc bond length is 3.13 Å. In the second Sc site, Sc is bonded in a 11-coordinate geometry to seven Ba and four Sc atoms. All Sc–Sc bond lengths are 3.49 Å.

36 MATERIALS SCIENCE↗
NASA NTRS2007

Modeling the Observed Solar Cycle Variations of the Quasi-biennial Oscillation (QBO): Amplification by Wave Forcing

In several papers, the solar cycle (SC) effect in the lower atmosphere has been linked observationally to the Quasi-biennial Oscillation (QBO) of the zonal circulation, which is generated primarily by small-scale gravity waves (GW). Salby and Callaghan (2000) in particular analyzed the QBO, covering more than 40 years, and discovered that it contains a large SC signature at 20 km. With our Numerical Spectral Model (NSM), we conducted a 3D study to describe the QBO under the influence of the SC, and some results have been published (Mayr et al., GRL, 2005,2006). For a SC period of 10 years, the relative amplitude of radiative forcing is taken to vary exponentially with height, i.e., 0.2% at the surface, 2% at 50 km, 20% at 100 km and above. Applying spectral analysis to filter out and identify the SC signature, the model generates a relatively large modulation of the QBO, which reproduces the observations qualitatively. Our numerical results demonstrate that the modulation of the QBO, with constant phase relative to the SC, persist at least for 60 years. The same model run generates in the seasonal variations a hemispherically symmetric Equatorial Annual Oscillation (EAO, with 12-month period), which is confined to low latitudes like the QBO and is also modulated by the SC. Although the amplitude of the EAO is relatively small, its SC modulation is large, and it is in phase with that of the QBO. The SC modulated EAO is evidently the pathway and pacemaker for the solar influence on the QBO. To shed light on the dynamical processes involved, we present model results that show how the seasonal cycle induces the SC modulations of the EAO and QBO. Our analysis further demonstrates that the SC modulations of the QBO and EAO are amplified by the GW interaction with the flow. The GW momentum source clearly shows a SC modulation that is in phase with the corresponding modulations of the QBO and EAO. By tapping the momentum from the upward propagating GWs, the QBO and EAO apparently serve as conduits to amplify and transfer to lower altitudes the larger SC variations in the UV absorbed in the mesosphere. Our model also produces in the temperature variations of the QBO and EAO measurable SC modulations at polar latitudes near the tropopause, and such signatures have been reported in the literature. Contrary to conventional interpretation, however, we suggest that the effects are generated at least in part by the meridional circulation, and planetary waves presumably, which redistribute the energy from the equatorial region where wave forcing is very efficient and thereby amplifies the SC influence.

Mayr, Hans G.↗
DOE OSTI2020

Materials Data on Sc2P7Ru12 by Materials Project

Sc2Ru12P7 crystallizes in the hexagonal P-6 space group. The structure is three-dimensional. there are two inequivalent Sc sites. In the first Sc site, Sc is bonded in a 12-coordinate geometry to nine Ru and six equivalent P atoms. There are six shorter (3.07 Å) and three longer (3.22 Å) Sc–Ru bond lengths. All Sc–P bond lengths are 2.90 Å. In the second Sc site, Sc is bonded in a 12-coordinate geometry to twelve Ru and six equivalent P atoms. There are a spread of Sc–Ru bond distances ranging from 3.09–3.41 Å. All Sc–P bond lengths are 3.00 Å. There are four inequivalent Ru sites. In the first Ru site, Ru is bonded in a 12-coordinate geometry to three Sc, five Ru, and four P atoms. There are a spread of Ru–Ru bond distances ranging from 2.75–2.92 Å. There are a spread of Ru–P bond distances ranging from 2.29–2.45 Å. In the second Ru site, Ru is bonded in a 1-coordinate geometry to seven Ru and five P atoms. There are a spread of Ru–Ru bond distances ranging from 2.80–2.90 Å. There are a spread of Ru–P bond distances ranging from 2.35–2.85 Å. In the third Ru site, Ru is bonded in a 12-coordinate geometry to one Sc, seven Ru, and four P atoms. The Ru–Ru bond length is 2.67 Å. There are a spread of Ru–P bond distances ranging from 2.24–2.44 Å. In the fourth Ru site, Ru is bonded in a 12-coordinate geometry to three Sc, five Ru, and four P atoms. There are a spread of Ru–P bond distances ranging from 2.26–2.53 Å. There are three inequivalent P sites. In the first P site, P is bonded in a 9-coordinate geometry to two equivalent Sc and seven Ru atoms. In the second P site, P is bonded in a 3-coordinate geometry to nine Ru atoms. In the third P site, P is bonded in a 9-coordinate geometry to two equivalent Sc and seven Ru atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sc3Ga2 by Materials Project

Sc3Ga2 crystallizes in the tetragonal I4/mcm space group. The structure is three-dimensional. there are three inequivalent Sc sites. In the first Sc site, Sc is bonded in a 6-coordinate geometry to six Ga atoms. There are a spread of Sc–Ga bond distances ranging from 2.77–3.06 Å. In the second Sc site, Sc is bonded in a 4-coordinate geometry to six Ga atoms. There are a spread of Sc–Ga bond distances ranging from 2.74–3.46 Å. In the third Sc site, Sc is bonded in a 5-coordinate geometry to five Ga atoms. There are a spread of Sc–Ga bond distances ranging from 2.80–3.25 Å. There are four inequivalent Ga sites. In the first Ga site, Ga is bonded in a 10-coordinate geometry to nine Sc and one Ga atom. The Ga–Ga bond length is 2.66 Å. In the second Ga site, Ga is bonded in a 9-coordinate geometry to nine Sc atoms. In the third Ga site, Ga is bonded in a body-centered cubic geometry to eight equivalent Sc atoms. In the fourth Ga site, Ga is bonded in a 8-coordinate geometry to eight equivalent Sc atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sc5Cl8 by Materials Project

Sc5Cl8 crystallizes in the monoclinic C2/m space group. The structure is two-dimensional and consists of two Sc5Cl8 sheets oriented in the (1, 0, 0) direction. there are three inequivalent Sc sites. In the first Sc site, Sc is bonded to six Cl atoms to form ScCl6 octahedra that share corners with four equivalent ScCl4 trigonal pyramids and edges with two equivalent ScCl6 octahedra. There are four shorter (2.52 Å) and two longer (2.63 Å) Sc–Cl bond lengths. In the second Sc site, Sc is bonded to four Cl atoms to form distorted ScCl4 trigonal pyramids that share corners with two equivalent ScCl6 octahedra and corners with two equivalent ScCl4 trigonal pyramids. The corner-sharing octahedral tilt angles are 44°. There are two shorter (2.51 Å) and two longer (2.61 Å) Sc–Cl bond lengths. In the third Sc site, Sc is bonded in a 4-coordinate geometry to four Cl atoms. All Sc–Cl bond lengths are 2.63 Å. There are four inequivalent Cl sites. In the first Cl site, Cl is bonded in a distorted T-shaped geometry to three Sc atoms. In the second Cl site, Cl is bonded in an L-shaped geometry to two equivalent Sc atoms. In the third Cl site, Cl is bonded in a distorted T-shaped geometry to three Sc atoms. In the fourth Cl site, Cl is bonded in a distorted T-shaped geometry to three Sc atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Cs4Sc6CCl13 by Materials Project

Cs4Sc6CCl13 crystallizes in the tetragonal I4_1/amd space group. The structure is three-dimensional. Cs1+ is bonded in a 10-coordinate geometry to ten Cl1- atoms. There are a spread of Cs–Cl bond distances ranging from 3.40–3.96 Å. There are two inequivalent Sc+2.17+ sites. In the first Sc+2.17+ site, Sc+2.17+ is bonded to one C4- and five Cl1- atoms to form a mixture of distorted edge and corner-sharing ScCCl5 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. The Sc–C bond length is 2.25 Å. There are a spread of Sc–Cl bond distances ranging from 2.58–2.94 Å. In the second Sc+2.17+ site, Sc+2.17+ is bonded to one C4- and five Cl1- atoms to form a mixture of distorted edge and corner-sharing ScCCl5 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. The Sc–C bond length is 2.25 Å. There are four shorter (2.61 Å) and one longer (3.01 Å) Sc–Cl bond lengths. C4- is bonded to six Sc+2.17+ atoms to form CSc6 octahedra that share corners with two equivalent ClCs4Sc2 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a 2-coordinate geometry to four equivalent Cs1+ and two Sc+2.17+ atoms. In the second Cl1- site, Cl1- is bonded in a 2-coordinate geometry to three equivalent Cs1+ and two equivalent Sc+2.17+ atoms. In the third Cl1- site, Cl1- is bonded in a 5-coordinate geometry to two equivalent Cs1+ and three Sc+2.17+ atoms. In the fourth Cl1- site, Cl1- is bonded to four equivalent Cs1+ and two equivalent Sc+2.17+ atoms to form ClCs4Sc2 octahedra that share corners with two equivalent CSc6 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sc14Cu14O37 by Materials Project

Sc14Cu14O37 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fourteen inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded to six O2- atoms to form edge-sharing ScO6 octahedra. There are a spread of Sc–O bond distances ranging from 2.09–2.19 Å. In the second Sc3+ site, Sc3+ is bonded to six O2- atoms to form edge-sharing ScO6 octahedra. There are a spread of Sc–O bond distances ranging from 2.09–2.21 Å. In the third Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.14–2.37 Å. In the fourth Sc3+ site, Sc3+ is bonded to six O2- atoms to form distorted ScO6 octahedra that share edges with two equivalent ScO6 octahedra and edges with two equivalent ScO7 pentagonal bipyramids. There are a spread of Sc–O bond distances ranging from 2.05–2.19 Å. In the fifth Sc3+ site, Sc3+ is bonded to seven O2- atoms to form distorted ScO7 pentagonal bipyramids that share edges with two equivalent ScO6 octahedra and edges with four ScO7 pentagonal bipyramids. There are a spread of Sc–O bond distances ranging from 2.15–2.31 Å. In the sixth Sc3+ site, Sc3+ is bonded to seven O2- atoms to form distorted ScO7 pentagonal bipyramids that share edges with two equivalent ScO6 octahedra and edges with four ScO7 pentagonal bipyramids. There are a spread of Sc–O bond distances ranging from 2.15–2.29 Å. In the seventh Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share edges with four ScO6 octahedra and edges with two equivalent ScO7 pentagonal bipyramids. There are a spread of Sc–O bond distances ranging from 2.05–2.21 Å. In the eighth Sc3+ site, Sc3+ is bonded to six O2- atoms to form edge-sharing ScO6 octahedra. There are a spread of Sc–O bond distances ranging from 2.10–2.20 Å. In the ninth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.34 Å. In the tenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.53 Å. In the eleventh Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.10–2.49 Å. In the twelfth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.10–2.50 Å. In the thirteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.11–2.53 Å. In the fourteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.43 Å. There are fourteen inequivalent Cu+2.29+ sites. In the first Cu+2.29+ site, Cu+2.29+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.81–1.88 Å. In the second Cu+2.29+ site, Cu+2.29+ is bonded in a linear geometry to two O2- atoms. Both Cu–O bond lengths are 1.82 Å. In the third Cu+2.29+ site, Cu+2.29+ is bonded in a T-shaped geometry to three O2- atoms. There are a spread of Cu–O bond distances ranging from 1.87–2.06 Å. In the fourth Cu+2.29+ site, Cu+2.29+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.84–1.89 Å. In the fifth Cu+2.29+ site, Cu+2.29+ is bonded in a see-saw-like geometry to four O2- atoms. There is two shorter (1.89 Å) and two longer (1.90 Å) Cu–O bond length. In the sixth Cu+2.29+ site, Cu+2.29+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.90–1.93 Å. In the seventh Cu+2.29+ site, Cu+2.29+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.88–1.92 Å. In the eighth Cu+2.29+ site, Cu+2.29+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.80 Å) and one longer (1.81 Å) Cu–O bond length. In the ninth Cu+2.29+ site, Cu+2.29+ is bonded in a T-shaped geometry to three O2- atoms. There are a spread of Cu–O bond distances ranging from 1.86–1.96 Å. In the tenth Cu+2.29+ site, Cu+2.29+ is bonded to five O2- atoms to form corner-sharing CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.90–2.09 Å. In the eleventh Cu+2.29+ site, Cu+2.29+ is bonded to five O2- atoms to form corner-sharing CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.89–2.14 Å. In the twelfth Cu+2.29+ site, Cu+2.29+ is bonded to five O2- atoms to form corner-sharing CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.88–2.18 Å. In the thirteenth Cu+2.29+ site, Cu+2.29+ is bonded to five O2- atoms to form corner-sharing CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.86–2.21 Å. In the fourteenth Cu+2.29+ site, Cu+2.29+ is bonded to five O2- atoms to form corner-sharing CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.84–2.30 Å. There are thirty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form distorted OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, corners with three equivalent OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the second O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form a mixture of distorted edge and corner-sharing OSc3Cu tetrahedra. In the third O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form distorted OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, corners with three equivalent OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the fourth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form a mixture of distorted edge and corner-sharing OSc3Cu tetrahedra. In the fifth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form distorted OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, corners with three equivalent OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the sixth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, edges with three OSc3Cu tetrahedra, and an edgeedge with one OScCu3 trigonal pyramid. In the seventh O2- site, O2- is bonded to one Sc3+ and three Cu+2.29+ atoms to form distorted OScCu3 trigonal pyramids that share corners with six OSc3Cu tetrahedra, corners with two equivalent OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the eighth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, edges with three OSc3Cu tetrahedra, and edges with two equivalent OScCu3 trigonal pyramids. In the ninth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, edges with three OSc3Cu tetrahedra, and edges with two equivalent OScCu3 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Sc3+ and three Cu+2.29+ atoms to form distorted OScCu3 trigonal pyramids that share corners with six OSc3Cu tetrahedra, corners with three OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the eleventh O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, corners with three equivalent OScCu3 trigonal pyramids, edges with three OSc3Cu tetrahedra, and an edgeedge with one OScCu3 trigonal pyramid. In the twelfth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form distorted OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, corners with three equivalent OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the thirteenth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form distorted OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, corners with three equivalent OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the fourteenth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, corners with three equivalent OScCu3 trigonal pyramids, edges with three OSc3Cu tetrahedra, and an edgeedge with one OScCu3 trigonal pyramid. In the fifteenth O2- site, O2- is bonded to one Sc3+ and three Cu+2.29+ atoms to form distorted OScCu3 trigonal pyramids that share corners with six OSc3Cu tetrahedra, corners with three OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the sixteenth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form a mixture of distorted edge and corner-sharing OSc3Cu tetrahedra. In the seventeenth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, edges with three OSc3Cu tetrahedra, and edges with two equivalent OScCu3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form distorted OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, corners with three equivalent OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the nineteenth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form a mixture of distorted edge and corner-sharing OSc3Cu tetrahedra. In the twentieth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form distorted OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, corners with three equivalent OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the twenty-first O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, edges with three OSc3Cu tetrahedra, and an edgeedge with one OScCu3 trigonal pyramid. In the twenty-second O2- site, O2- is bonded to one Sc3+ and three Cu+2.29+ atoms to form distorted OScCu3 trigonal pyramids that share corners with six OSc3Cu tetrahedra, corners with two equivalent OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedra. In the twenty-third O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form a mixture of distorted edge and corner-sharing OSc3Cu tetrahedra. In the twenty-fourth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, edges with three OSc3Cu tetrahedra, and edges with two equivalent OScCu3 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Sc3+ and three Cu+2.29+ atoms. In the twenty-sixth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form a mixture of distorted edge and corner-sharing OSc3Cu tetrahedra. In the twenty-seventh O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form a mixture of edge and corner-sharing OSc3Cu tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Sc3+ and three Cu+2.29+ atoms. In the twenty-ninth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form a mixture of distorted edge and corner-sharing OSc3Cu tetrahedra. In the thirtieth O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form a mixture of edge and corner-sharing OSc3Cu tetrahedra. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Sc3+ and three Cu+2.29+ atoms. In the thirty-second O2- site, O2- is bonded to three Sc3+ and one Cu+2.29+ atom to form distorted OSc3Cu tetrahedra that share corners with ten OSc3Cu tetrahedra, corners with three equivalent OScCu3 trigonal pyramids, and edges with three OSc3Cu tetrahedr

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mg5Sc by Materials Project

Mg5Sc is Magnesium-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with eighteen MgMg10Sc2 cuboctahedra, edges with six equivalent ScMg10Sc2 cuboctahedra, edges with twelve MgMg10Sc2 cuboctahedra, faces with three equivalent ScMg10Sc2 cuboctahedra, and faces with seventeen MgMg10Sc2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.24 Å. Both Mg–Sc bond lengths are 3.18 Å. In the second Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with six equivalent ScMg10Sc2 cuboctahedra, corners with twelve MgMg10Sc2 cuboctahedra, edges with three equivalent ScMg10Sc2 cuboctahedra, edges with fifteen MgMg10Sc2 cuboctahedra, faces with three equivalent ScMg10Sc2 cuboctahedra, and faces with seventeen MgMg10Sc2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.21 Å. Both Mg–Sc bond lengths are 3.19 Å. In the third Mg site, Mg is bonded to eleven Mg and one Sc atom to form MgMg11Sc cuboctahedra that share corners with eighteen MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg10Sc2 cuboctahedra, edges with fourteen MgMg10Sc2 cuboctahedra, faces with four equivalent ScMg10Sc2 cuboctahedra, and faces with sixteen MgMg10Sc2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.20–3.23 Å. The Mg–Sc bond length is 3.18 Å. In the fourth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with six equivalent ScMg10Sc2 cuboctahedra, corners with twelve MgMg10Sc2 cuboctahedra, edges with three equivalent ScMg10Sc2 cuboctahedra, edges with fifteen MgMg10Sc2 cuboctahedra, faces with three equivalent ScMg10Sc2 cuboctahedra, and faces with seventeen MgMg10Sc2 cuboctahedra. There are two shorter (3.19 Å) and two longer (3.20 Å) Mg–Mg bond lengths. Both Mg–Sc bond lengths are 3.24 Å. In the fifth Mg site, Mg is bonded to nine Mg and three equivalent Sc atoms to form MgMg9Sc3 cuboctahedra that share corners with eighteen MgMg10Sc2 cuboctahedra, edges with two equivalent ScMg10Sc2 cuboctahedra, edges with sixteen MgMg10Sc2 cuboctahedra, faces with five equivalent ScMg10Sc2 cuboctahedra, and faces with fifteen MgMg10Sc2 cuboctahedra. Both Mg–Mg bond lengths are 3.20 Å. There are two shorter (3.22 Å) and one longer (3.23 Å) Mg–Sc bond lengths. Sc is bonded to ten Mg and two equivalent Sc atoms to form ScMg10Sc2 cuboctahedra that share corners with six equivalent ScMg10Sc2 cuboctahedra, corners with twelve MgMg10Sc2 cuboctahedra, edges with eighteen MgMg10Sc2 cuboctahedra, faces with two equivalent ScMg10Sc2 cuboctahedra, and faces with eighteen MgMg10Sc2 cuboctahedra. Both Sc–Sc bond lengths are 3.20 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sc2MnGe by Materials Project

Sc2MnGe crystallizes in the cubic F-43m space group. The structure is three-dimensional. there are two inequivalent Sc sites. In the first Sc site, Sc is bonded to four equivalent Sc and four equivalent Ge atoms to form distorted edge-sharing ScSc4Ge4 tetrahedra. All Sc–Sc bond lengths are 2.80 Å. All Sc–Ge bond lengths are 2.80 Å. In the second Sc site, Sc is bonded in a 4-coordinate geometry to four equivalent Sc, four equivalent Mn, and six equivalent Ge atoms. All Sc–Mn bond lengths are 2.80 Å. All Sc–Ge bond lengths are 3.23 Å. Mn is bonded in a distorted body-centered cubic geometry to four equivalent Sc and four equivalent Ge atoms. All Mn–Ge bond lengths are 2.80 Å. Ge is bonded in a distorted body-centered cubic geometry to ten Sc and four equivalent Mn atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sc2MnC by Materials Project

Sc2MnC crystallizes in the cubic F-43m space group. The structure is three-dimensional. there are two inequivalent Sc sites. In the first Sc site, Sc is bonded to four equivalent Sc and four equivalent C atoms to form distorted edge-sharing ScSc4C4 tetrahedra. All Sc–Sc bond lengths are 2.56 Å. All Sc–C bond lengths are 2.56 Å. In the second Sc site, Sc is bonded in a 4-coordinate geometry to four equivalent Sc, four equivalent Mn, and six equivalent C atoms. All Sc–Mn bond lengths are 2.56 Å. All Sc–C bond lengths are 2.96 Å. Mn is bonded in a distorted body-centered cubic geometry to four equivalent Sc and four equivalent C atoms. All Mn–C bond lengths are 2.56 Å. C is bonded in a distorted body-centered cubic geometry to ten Sc and four equivalent Mn atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sc3Te4 by Materials Project

Sc3Te4 is MAX Phase-derived structured and crystallizes in the trigonal R3m space group. The structure is two-dimensional and consists of three Sc3Te4 sheets oriented in the (0, 0, 1) direction. there are three inequivalent Sc+2.67+ sites. In the first Sc+2.67+ site, Sc+2.67+ is bonded to six Te2- atoms to form a mixture of edge and corner-sharing ScTe6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are three shorter (2.86 Å) and three longer (3.04 Å) Sc–Te bond lengths. In the second Sc+2.67+ site, Sc+2.67+ is bonded to six Te2- atoms to form a mixture of face, edge, and corner-sharing ScTe6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are three shorter (2.84 Å) and three longer (3.08 Å) Sc–Te bond lengths. In the third Sc+2.67+ site, Sc+2.67+ is bonded to six Te2- atoms to form a mixture of face, edge, and corner-sharing ScTe6 octahedra. The corner-sharing octahedra tilt angles range from 2–47°. There are three shorter (2.96 Å) and three longer (2.97 Å) Sc–Te bond lengths. There are four inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in a distorted T-shaped geometry to three equivalent Sc+2.67+ atoms. In the second Te2- site, Te2- is bonded to six Sc+2.67+ atoms to form a mixture of edge and corner-sharing TeSc6 octahedra. In the third Te2- site, Te2- is bonded to six Sc+2.67+ atoms to form a mixture of distorted edge and corner-sharing TeSc6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 0°. In the fourth Te2- site, Te2- is bonded in a distorted T-shaped geometry to three equivalent Sc+2.67+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on ZrSc2 by Materials Project

Sc2Zr is Magnesium-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are two inequivalent Sc sites. In the first Sc site, Sc is bonded to seven Sc and five equivalent Zr atoms to form ScZr5Sc7 cuboctahedra that share corners with six equivalent ZrZr3Sc9 cuboctahedra, corners with twelve ScZr5Sc7 cuboctahedra, edges with five equivalent ZrZr3Sc9 cuboctahedra, edges with thirteen ScZr5Sc7 cuboctahedra, faces with eight equivalent ZrZr3Sc9 cuboctahedra, and faces with twelve ScZr5Sc7 cuboctahedra. There are a spread of Sc–Sc bond distances ranging from 3.21–3.35 Å. There are a spread of Sc–Zr bond distances ranging from 3.16–3.28 Å. In the second Sc site, Sc is bonded to eight Sc and four equivalent Zr atoms to form ScZr4Sc8 cuboctahedra that share corners with six equivalent ZrZr3Sc9 cuboctahedra, corners with twelve ScZr5Sc7 cuboctahedra, edges with nine ScZr5Sc7 cuboctahedra, edges with nine equivalent ZrZr3Sc9 cuboctahedra, faces with six equivalent ZrZr3Sc9 cuboctahedra, and faces with fourteen ScZr5Sc7 cuboctahedra. There are a spread of Sc–Sc bond distances ranging from 3.09–3.32 Å. There are two shorter (3.19 Å) and two longer (3.25 Å) Sc–Zr bond lengths. Zr is bonded to nine Sc and three equivalent Zr atoms to form ZrZr3Sc9 cuboctahedra that share corners with six equivalent ZrZr3Sc9 cuboctahedra, corners with twelve ScZr5Sc7 cuboctahedra, edges with four equivalent ZrZr3Sc9 cuboctahedra, edges with fourteen ScZr5Sc7 cuboctahedra, faces with six equivalent ZrZr3Sc9 cuboctahedra, and faces with fourteen ScZr5Sc7 cuboctahedra. There are one shorter (3.15 Å) and two longer (3.28 Å) Zr–Zr bond lengths.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on LuSc3(MnSi)4 by Materials Project

LuSc3(MnSi)4 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. Lu is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Lu–Si bond distances ranging from 2.84–2.87 Å. There are three inequivalent Sc sites. In the first Sc site, Sc is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Sc–Si bond distances ranging from 2.77–2.84 Å. In the second Sc site, Sc is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Sc–Si bond distances ranging from 2.77–2.86 Å. In the third Sc site, Sc is bonded in a 5-coordinate geometry to five Si atoms. There are two shorter (2.75 Å) and three longer (2.80 Å) Sc–Si bond lengths. There are four inequivalent Mn sites. In the first Mn site, Mn is bonded to four Si atoms to form distorted corner-sharing MnSi4 tetrahedra. There are a spread of Mn–Si bond distances ranging from 2.41–2.50 Å. In the second Mn site, Mn is bonded to four Si atoms to form distorted corner-sharing MnSi4 tetrahedra. There are a spread of Mn–Si bond distances ranging from 2.42–2.56 Å. In the third Mn site, Mn is bonded in a 4-coordinate geometry to four Si atoms. There are a spread of Mn–Si bond distances ranging from 2.42–2.62 Å. In the fourth Mn site, Mn is bonded in a 4-coordinate geometry to four Si atoms. There are a spread of Mn–Si bond distances ranging from 2.43–2.62 Å. There are four inequivalent Si sites. In the first Si site, Si is bonded in a 9-coordinate geometry to one Lu, four Sc, and four Mn atoms. In the second Si site, Si is bonded in a 9-coordinate geometry to five Sc and four Mn atoms. In the third Si site, Si is bonded in a 9-coordinate geometry to two equivalent Lu, three Sc, and four Mn atoms. In the fourth Si site, Si is bonded in a 9-coordinate geometry to two equivalent Lu, three Sc, and four Mn atoms.

36 MATERIALS SCIENCE↗