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Materials Data on Yb6Mn4Al43 by Materials Project

Yb6Mn4Al43 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. Yb is bonded in a 6-coordinate geometry to one Yb, one Mn, and fifteen Al atoms. The Yb–Yb bond length is 3.38 Å. The Yb–Mn bond length is 3.50 Å. There are a spread of Yb–Al bond distances ranging from 3.06–3.45 Å. There are two inequivalent Mn sites. In the first Mn site, Mn is bonded to twelve Al atoms to form MnAl12 cuboctahedra that share edges with six equivalent AlMn2Al10 cuboctahedra. There are six shorter (2.65 Å) and six longer (2.78 Å) Mn–Al bond lengths. In the second Mn site, Mn is bonded in a 10-coordinate geometry to two equivalent Yb and ten Al atoms. There are a spread of Mn–Al bond distances ranging from 2.56–2.67 Å. There are seven inequivalent Al sites. In the first Al site, Al is bonded in a 12-coordinate geometry to one Yb, two Mn, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.71–2.93 Å. In the second Al site, Al is bonded in a 12-coordinate geometry to two equivalent Yb, one Mn, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.76–2.95 Å. In the third Al site, Al is bonded in a 12-coordinate geometry to four equivalent Yb and eight Al atoms. There are a spread of Al–Al bond distances ranging from 2.77–3.11 Å. In the fourth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Yb, one Mn, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.76–2.98 Å. In the fifth Al site, Al is bonded in a 10-coordinate geometry to two equivalent Yb, one Mn, and seven Al atoms. There are one shorter (2.77 Å) and two longer (2.81 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded to two equivalent Mn and ten Al atoms to form distorted AlMn2Al10 cuboctahedra that share corners with four equivalent AlYb3Al9 cuboctahedra, edges with two equivalent MnAl12 cuboctahedra, and faces with two equivalent AlMn2Al10 cuboctahedra. Both Al–Al bond lengths are 2.74 Å. In the seventh Al site, Al is bonded to three equivalent Yb and nine Al atoms to form AlYb3Al9 cuboctahedra that share corners with six AlMn2Al10 cuboctahedra and faces with two equivalent AlYb3Al9 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Tm6Ti4Al43 by Materials Project

Tm6Ti4Al43 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. Tm is bonded in a 6-coordinate geometry to one Tm, one Ti, and fifteen Al atoms. The Tm–Tm bond length is 3.49 Å. The Tm–Ti bond length is 3.47 Å. There are a spread of Tm–Al bond distances ranging from 3.07–3.46 Å. There are two inequivalent Ti sites. In the first Ti site, Ti is bonded to twelve Al atoms to form TiAl12 cuboctahedra that share edges with six equivalent AlTi2Al10 cuboctahedra. There are six shorter (2.69 Å) and six longer (2.86 Å) Ti–Al bond lengths. In the second Ti site, Ti is bonded in a 12-coordinate geometry to two equivalent Tm and ten Al atoms. There are a spread of Ti–Al bond distances ranging from 2.61–2.72 Å. There are seven inequivalent Al sites. In the first Al site, Al is bonded in a 12-coordinate geometry to one Tm, two Ti, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.74–3.01 Å. In the second Al site, Al is bonded in a 12-coordinate geometry to two equivalent Tm, one Ti, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.74–3.00 Å. In the third Al site, Al is bonded in a 12-coordinate geometry to four equivalent Tm and eight Al atoms. There are a spread of Al–Al bond distances ranging from 2.77–3.09 Å. In the fourth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Tm, one Ti, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.73–3.03 Å. In the fifth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Tm, one Ti, and seven Al atoms. There are two shorter (2.82 Å) and one longer (2.87 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded to two equivalent Ti and ten Al atoms to form distorted AlTi2Al10 cuboctahedra that share corners with four equivalent AlTm3Al9 cuboctahedra, edges with two equivalent TiAl12 cuboctahedra, and faces with two equivalent AlTi2Al10 cuboctahedra. Both Al–Al bond lengths are 2.81 Å. In the seventh Al site, Al is bonded to three equivalent Tm and nine Al atoms to form AlTm3Al9 cuboctahedra that share corners with six AlTi2Al10 cuboctahedra and faces with two equivalent AlTm3Al9 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Al4Tc by Materials Project

TcAl4 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are two inequivalent Tc sites. In the first Tc site, Tc is bonded in a 10-coordinate geometry to ten Al atoms. There are a spread of Tc–Al bond distances ranging from 2.50–2.83 Å. In the second Tc site, Tc is bonded in a 11-coordinate geometry to eleven Al atoms. There are a spread of Tc–Al bond distances ranging from 2.47–2.84 Å. There are seven inequivalent Al sites. In the first Al site, Al is bonded in a 1-coordinate geometry to four Tc and one Al atom. The Al–Al bond length is 2.83 Å. In the second Al site, Al is bonded in a 1-coordinate geometry to four Tc and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.68–3.06 Å. In the third Al site, Al is bonded in a distorted linear geometry to two Tc and three Al atoms. The Al–Al bond length is 2.80 Å. In the fourth Al site, Al is bonded in a 3-coordinate geometry to three Tc and four Al atoms. There are a spread of Al–Al bond distances ranging from 2.70–2.97 Å. In the fifth Al site, Al is bonded in a 3-coordinate geometry to three Tc and four Al atoms. There are a spread of Al–Al bond distances ranging from 2.74–2.95 Å. In the sixth Al site, Al is bonded in a 2-coordinate geometry to two equivalent Tc and eight Al atoms. There are a spread of Al–Al bond distances ranging from 2.67–2.79 Å. In the seventh Al site, Al is bonded in a 11-coordinate geometry to two equivalent Tc and nine Al atoms. Both Al–Al bond lengths are 2.60 Å.

36 MATERIALS SCIENCE↗

Materials Data on Y6Ta4Al43 by Materials Project

Y6Ta4Al43 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. Y is bonded in a 6-coordinate geometry to one Y, one Ta, and fifteen Al atoms. The Y–Y bond length is 3.49 Å. The Y–Ta bond length is 3.49 Å. There are a spread of Y–Al bond distances ranging from 3.07–3.48 Å. There are two inequivalent Ta sites. In the first Ta site, Ta is bonded in a cuboctahedral geometry to twelve Al atoms. There are six shorter (2.71 Å) and six longer (2.90 Å) Ta–Al bond lengths. In the second Ta site, Ta is bonded in a 10-coordinate geometry to two equivalent Y and ten Al atoms. There are a spread of Ta–Al bond distances ranging from 2.65–2.76 Å. There are seven inequivalent Al sites. In the first Al site, Al is bonded in a 12-coordinate geometry to one Y, two Ta, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.77–3.07 Å. In the second Al site, Al is bonded in a 12-coordinate geometry to two equivalent Y, one Ta, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.76–3.05 Å. In the third Al site, Al is bonded in a 12-coordinate geometry to four equivalent Y and eight Al atoms. There are a spread of Al–Al bond distances ranging from 2.79–3.09 Å. In the fourth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Y, one Ta, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.74–3.07 Å. In the fifth Al site, Al is bonded in a 10-coordinate geometry to two equivalent Y, one Ta, and seven Al atoms. There are two shorter (2.83 Å) and one longer (2.89 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Ta and ten Al atoms. Both Al–Al bond lengths are 2.83 Å. In the seventh Al site, Al is bonded to three equivalent Y and nine Al atoms to form a mixture of corner and face-sharing AlY3Al9 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ho6Mn4Al43 by Materials Project

Ho6Mn4Al43 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. Ho is bonded in a 6-coordinate geometry to one Ho, one Mn, and fifteen Al atoms. The Ho–Ho bond length is 3.41 Å. The Ho–Mn bond length is 3.49 Å. There are a spread of Ho–Al bond distances ranging from 3.04–3.42 Å. There are two inequivalent Mn sites. In the first Mn site, Mn is bonded in a cuboctahedral geometry to twelve Al atoms. There are six shorter (2.65 Å) and six longer (2.80 Å) Mn–Al bond lengths. In the second Mn site, Mn is bonded in a 10-coordinate geometry to two equivalent Ho and ten Al atoms. There are a spread of Mn–Al bond distances ranging from 2.53–2.65 Å. There are seven inequivalent Al sites. In the first Al site, Al is bonded in a 12-coordinate geometry to one Ho, two Mn, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.70–2.95 Å. In the second Al site, Al is bonded in a 12-coordinate geometry to two equivalent Ho, one Mn, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.71–2.95 Å. In the third Al site, Al is bonded in a 12-coordinate geometry to four equivalent Ho and eight Al atoms. There are a spread of Al–Al bond distances ranging from 2.76–3.09 Å. In the fourth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Ho, one Mn, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.72–2.98 Å. In the fifth Al site, Al is bonded in a 10-coordinate geometry to two equivalent Ho, one Mn, and seven Al atoms. There are one shorter (2.74 Å) and two longer (2.81 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded in a 2-coordinate geometry to two equivalent Mn and ten Al atoms. Both Al–Al bond lengths are 2.75 Å. In the seventh Al site, Al is bonded to three equivalent Ho and nine Al atoms to form a mixture of face and corner-sharing AlHo3Al9 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ti4Al11Zn by Materials Project

Ti4ZnAl11 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. there are four inequivalent Ti sites. In the first Ti site, Ti is bonded to twelve Al atoms to form TiAl12 cuboctahedra that share corners with four equivalent ZnTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with four equivalent TiAl8Zn4 cuboctahedra, edges with twenty AlTi4Al6Zn2 cuboctahedra, a faceface with one ZnTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with twelve AlTi4Al8 cuboctahedra. There are eight shorter (2.76 Å) and four longer (2.97 Å) Ti–Al bond lengths. In the second Ti site, Ti is bonded to twelve Al atoms to form TiAl12 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with four equivalent ZnTi4Al8 cuboctahedra, edges with sixteen AlTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with thirteen AlTi4Al6Zn2 cuboctahedra. There are a spread of Ti–Al bond distances ranging from 2.76–2.94 Å. In the third Ti site, Ti is bonded to four equivalent Zn and eight Al atoms to form TiAl8Zn4 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with twenty AlTi4Al6Zn2 cuboctahedra, faces with four equivalent ZnTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with nine AlTi4Al6Zn2 cuboctahedra. All Ti–Zn bond lengths are 2.76 Å. There are four shorter (2.75 Å) and four longer (2.90 Å) Ti–Al bond lengths. In the fourth Ti site, Ti is bonded to twelve Al atoms to form TiAl12 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with twenty AlTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with thirteen AlTi4Al8 cuboctahedra. There are a spread of Ti–Al bond distances ranging from 2.76–2.93 Å. Zn is bonded to four equivalent Ti and eight Al atoms to form ZnTi4Al8 cuboctahedra that share corners with four equivalent TiAl12 cuboctahedra, corners with four equivalent ZnTi4Al8 cuboctahedra, corners with four equivalent AlTi4Al8 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with twenty AlTi4Al6Zn2 cuboctahedra, faces with four equivalent ZnTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with nine AlTi4Al6Zn2 cuboctahedra. There are four shorter (2.80 Å) and four longer (2.84 Å) Zn–Al bond lengths. There are seven inequivalent Al sites. In the first Al site, Al is bonded to four Ti, two equivalent Zn, and six Al atoms to form AlTi4Al6Zn2 cuboctahedra that share corners with twelve AlTi4Al6Zn2 cuboctahedra, edges with four equivalent ZnTi4Al8 cuboctahedra, edges with eight TiAl12 cuboctahedra, edges with twelve AlTi4Al6Zn2 cuboctahedra, faces with two equivalent ZnTi4Al8 cuboctahedra, faces with four TiAl12 cuboctahedra, and faces with twelve AlTi4Al6Zn2 cuboctahedra. There are four shorter (2.76 Å) and two longer (2.87 Å) Al–Al bond lengths. In the second Al site, Al is bonded to four Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with twelve AlTi4Al6Zn2 cuboctahedra, edges with eight TiAl12 cuboctahedra, edges with sixteen AlTi4Al6Zn2 cuboctahedra, faces with four TiAl12 cuboctahedra, and faces with fourteen AlTi4Al8 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.76–2.88 Å. In the third Al site, Al is bonded to four Ti, two equivalent Zn, and six Al atoms to form AlTi4Al6Zn2 cuboctahedra that share corners with twelve AlTi4Al6Zn2 cuboctahedra, edges with four equivalent ZnTi4Al8 cuboctahedra, edges with eight TiAl12 cuboctahedra, edges with twelve AlTi4Al6Zn2 cuboctahedra, faces with two equivalent ZnTi4Al8 cuboctahedra, faces with four TiAl12 cuboctahedra, and faces with twelve AlTi4Al6Zn2 cuboctahedra. There are four shorter (2.76 Å) and two longer (2.85 Å) Al–Al bond lengths. In the fourth Al site, Al is bonded to four Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with twelve AlTi4Al8 cuboctahedra, edges with eight TiAl12 cuboctahedra, edges with sixteen AlTi4Al6Zn2 cuboctahedra, faces with four TiAl12 cuboctahedra, and faces with fourteen AlTi4Al6Zn2 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.76–2.86 Å. In the fifth Al site, Al is bonded to four equivalent Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent TiAl12 cuboctahedra, corners with eight AlTi4Al8 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with twenty AlTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with thirteen AlTi4Al8 cuboctahedra. In the sixth Al site, Al is bonded to four equivalent Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent TiAl8Zn4 cuboctahedra, corners with eight AlTi4Al8 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with four equivalent ZnTi4Al8 cuboctahedra, edges with sixteen AlTi4Al6Zn2 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with thirteen AlTi4Al8 cuboctahedra. In the seventh Al site, Al is bonded to four equivalent Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent TiAl12 cuboctahedra, corners with four equivalent ZnTi4Al8 cuboctahedra, corners with four equivalent AlTi4Al8 cuboctahedra, edges with four equivalent TiAl8Zn4 cuboctahedra, edges with twenty AlTi4Al8 cuboctahedra, a faceface with one ZnTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with twelve AlTi4Al6Zn2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ho6Nb4Al43 by Materials Project

Ho6Nb4Al43 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. Ho is bonded in a 6-coordinate geometry to one Ho, one Nb, and fifteen Al atoms. The Ho–Ho bond length is 3.47 Å. The Ho–Nb bond length is 3.49 Å. There are a spread of Ho–Al bond distances ranging from 3.06–3.48 Å. There are two inequivalent Nb sites. In the first Nb site, Nb is bonded to twelve Al atoms to form NbAl12 cuboctahedra that share corners with six equivalent NbHo2Al10 cuboctahedra and edges with six equivalent AlNb2Al10 cuboctahedra. There are six shorter (2.70 Å) and six longer (2.91 Å) Nb–Al bond lengths. In the second Nb site, Nb is bonded to two equivalent Ho and ten Al atoms to form distorted NbHo2Al10 cuboctahedra that share corners with four NbAl12 cuboctahedra, an edgeedge with one AlNb2Al10 cuboctahedra, and faces with six AlNb2Al10 cuboctahedra. There are a spread of Nb–Al bond distances ranging from 2.64–2.75 Å. There are seven inequivalent Al sites. In the first Al site, Al is bonded in a 12-coordinate geometry to one Ho, two Nb, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.77–3.06 Å. In the second Al site, Al is bonded in a 12-coordinate geometry to two equivalent Ho, one Nb, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.75–3.05 Å. In the third Al site, Al is bonded in a 12-coordinate geometry to four equivalent Ho and eight Al atoms. There are a spread of Al–Al bond distances ranging from 2.79–3.09 Å. In the fourth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Ho, one Nb, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.74–3.06 Å. In the fifth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Ho, one Nb, and seven Al atoms. There are two shorter (2.83 Å) and one longer (2.88 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded to two equivalent Nb and ten Al atoms to form distorted AlNb2Al10 cuboctahedra that share corners with four equivalent AlHo3Al9 cuboctahedra, edges with three NbAl12 cuboctahedra, faces with two equivalent NbHo2Al10 cuboctahedra, and faces with two equivalent AlNb2Al10 cuboctahedra. Both Al–Al bond lengths are 2.83 Å. In the seventh Al site, Al is bonded to three equivalent Ho and nine Al atoms to form AlHo3Al9 cuboctahedra that share corners with six AlNb2Al10 cuboctahedra, faces with two equivalent AlHo3Al9 cuboctahedra, and faces with three equivalent NbHo2Al10 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Yb6Ti4Al43 by Materials Project

Yb6Ti4Al43 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. Yb is bonded in a 6-coordinate geometry to one Yb, one Ti, and fifteen Al atoms. The Yb–Yb bond length is 3.45 Å. The Yb–Ti bond length is 3.56 Å. There are a spread of Yb–Al bond distances ranging from 3.12–3.53 Å. There are two inequivalent Ti sites. In the first Ti site, Ti is bonded in a 12-coordinate geometry to two equivalent Yb and ten Al atoms. There are a spread of Ti–Al bond distances ranging from 2.62–2.74 Å. In the second Ti site, Ti is bonded in a cuboctahedral geometry to twelve Al atoms. There are six shorter (2.70 Å) and six longer (2.86 Å) Ti–Al bond lengths. There are seven inequivalent Al sites. In the first Al site, Al is bonded in a 10-coordinate geometry to two equivalent Yb, one Ti, and seven Al atoms. There are a spread of Al–Al bond distances ranging from 2.80–2.89 Å. In the second Al site, Al is bonded in a 12-coordinate geometry to two equivalent Ti and ten Al atoms. There are six shorter (2.85 Å) and four longer (2.94 Å) Al–Al bond lengths. In the third Al site, Al is bonded in a 12-coordinate geometry to one Yb, two Ti, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.78–3.00 Å. In the fourth Al site, Al is bonded in a 12-coordinate geometry to four equivalent Yb and eight Al atoms. There are a spread of Al–Al bond distances ranging from 2.79–3.13 Å. In the fifth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Yb, one Ti, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.77–3.07 Å. In the sixth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Yb, one Ti, and nine Al atoms. Both Al–Al bond lengths are 3.01 Å. In the seventh Al site, Al is bonded to three equivalent Yb and nine Al atoms to form a mixture of corner and face-sharing AlYb3Al9 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Tb6Ti4Al43 by Materials Project

Tb6Ti4Al43 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. Tb is bonded in a 6-coordinate geometry to one Tb, one Ti, and fifteen Al atoms. The Tb–Tb bond length is 3.50 Å. The Tb–Ti bond length is 3.50 Å. There are a spread of Tb–Al bond distances ranging from 3.09–3.49 Å. There are two inequivalent Ti sites. In the first Ti site, Ti is bonded to twelve Al atoms to form TiAl12 cuboctahedra that share corners with six equivalent TiTb2Al10 cuboctahedra and edges with six equivalent AlTi2Al10 cuboctahedra. There are six shorter (2.70 Å) and six longer (2.86 Å) Ti–Al bond lengths. In the second Ti site, Ti is bonded to two equivalent Tb and ten Al atoms to form distorted TiTb2Al10 cuboctahedra that share corners with four TiAl12 cuboctahedra, an edgeedge with one AlTi2Al10 cuboctahedra, and faces with six AlTi2Al10 cuboctahedra. There are a spread of Ti–Al bond distances ranging from 2.62–2.72 Å. There are seven inequivalent Al sites. In the first Al site, Al is bonded in a 12-coordinate geometry to one Tb, two Ti, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.76–3.02 Å. In the second Al site, Al is bonded in a 12-coordinate geometry to two equivalent Tb, one Ti, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.76–3.00 Å. In the third Al site, Al is bonded in a 12-coordinate geometry to four equivalent Tb and eight Al atoms. There are a spread of Al–Al bond distances ranging from 2.79–3.13 Å. In the fourth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Tb, one Ti, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.75–3.04 Å. In the fifth Al site, Al is bonded in a 10-coordinate geometry to two equivalent Tb, one Ti, and seven Al atoms. There are two shorter (2.84 Å) and one longer (2.88 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded to two equivalent Ti and ten Al atoms to form distorted AlTi2Al10 cuboctahedra that share corners with four equivalent AlTb3Al9 cuboctahedra, edges with three TiAl12 cuboctahedra, faces with two equivalent TiTb2Al10 cuboctahedra, and faces with two equivalent AlTi2Al10 cuboctahedra. Both Al–Al bond lengths are 2.81 Å. In the seventh Al site, Al is bonded to three equivalent Tb and nine Al atoms to form AlTb3Al9 cuboctahedra that share corners with six AlTi2Al10 cuboctahedra, faces with two equivalent AlTb3Al9 cuboctahedra, and faces with three equivalent TiTb2Al10 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ti5Al11 by Materials Project

Ti5Al11 is beta Cu3Ti-like structured and crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. there are five inequivalent Ti sites. In the first Ti site, Ti is bonded to twelve Al atoms to form TiAl12 cuboctahedra that share corners with twelve TiAl12 cuboctahedra, edges with four equivalent TiTi4Al8 cuboctahedra, edges with twenty AlTi6Al6 cuboctahedra, faces with six TiAl12 cuboctahedra, and faces with twelve AlTi4Al8 cuboctahedra. There are a spread of Ti–Al bond distances ranging from 2.77–2.86 Å. In the second Ti site, Ti is bonded to twelve Al atoms to form TiAl12 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with eight TiAl12 cuboctahedra, edges with sixteen AlTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with thirteen AlTi6Al6 cuboctahedra. There are a spread of Ti–Al bond distances ranging from 2.77–2.90 Å. In the third Ti site, Ti is bonded to four equivalent Ti and eight Al atoms to form TiTi4Al8 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with twenty AlTi6Al6 cuboctahedra, faces with nine TiAl12 cuboctahedra, and faces with nine AlTi6Al6 cuboctahedra. All Ti–Ti bond lengths are 2.79 Å. There are four shorter (2.74 Å) and four longer (2.92 Å) Ti–Al bond lengths. In the fourth Ti site, Ti is bonded to twelve Al atoms to form TiAl12 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with twenty AlTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with thirteen AlTi4Al8 cuboctahedra. There are a spread of Ti–Al bond distances ranging from 2.76–2.93 Å. In the fifth Ti site, Ti is bonded to four equivalent Ti and eight Al atoms to form TiTi4Al8 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with twenty AlTi6Al6 cuboctahedra, faces with nine TiAl12 cuboctahedra, and faces with nine AlTi6Al6 cuboctahedra. There are four shorter (2.73 Å) and four longer (2.94 Å) Ti–Al bond lengths. There are seven inequivalent Al sites. In the first Al site, Al is bonded to six Ti and six Al atoms to form AlTi6Al6 cuboctahedra that share corners with twelve AlTi6Al6 cuboctahedra, edges with twelve TiAl12 cuboctahedra, edges with twelve AlTi6Al6 cuboctahedra, faces with six TiAl12 cuboctahedra, and faces with twelve AlTi6Al6 cuboctahedra. There are four shorter (2.77 Å) and two longer (2.85 Å) Al–Al bond lengths. In the second Al site, Al is bonded to four Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with twelve AlTi6Al6 cuboctahedra, edges with eight TiAl12 cuboctahedra, edges with sixteen AlTi6Al6 cuboctahedra, faces with four TiAl12 cuboctahedra, and faces with fourteen AlTi4Al8 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.77–2.86 Å. In the third Al site, Al is bonded to six Ti and six Al atoms to form AlTi6Al6 cuboctahedra that share corners with twelve AlTi6Al6 cuboctahedra, edges with twelve TiAl12 cuboctahedra, edges with twelve AlTi6Al6 cuboctahedra, faces with six TiAl12 cuboctahedra, and faces with twelve AlTi6Al6 cuboctahedra. There are four shorter (2.77 Å) and two longer (2.84 Å) Al–Al bond lengths. In the fourth Al site, Al is bonded to four Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with twelve AlTi4Al8 cuboctahedra, edges with eight TiAl12 cuboctahedra, edges with sixteen AlTi6Al6 cuboctahedra, faces with four TiAl12 cuboctahedra, and faces with fourteen AlTi6Al6 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.77–2.85 Å. In the fifth Al site, Al is bonded to four equivalent Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent TiAl12 cuboctahedra, corners with eight AlTi4Al8 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with twenty AlTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with thirteen AlTi4Al8 cuboctahedra. In the sixth Al site, Al is bonded to four equivalent Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent TiTi4Al8 cuboctahedra, corners with eight AlTi4Al8 cuboctahedra, edges with eight TiAl12 cuboctahedra, edges with sixteen AlTi6Al6 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with thirteen AlTi4Al8 cuboctahedra. In the seventh Al site, Al is bonded to four equivalent Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with four equivalent TiTi4Al8 cuboctahedra, edges with twenty AlTi4Al8 cuboctahedra, faces with six TiAl12 cuboctahedra, and faces with twelve AlTi6Al6 cuboctahedra.

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Materials Data on Dy6Al43V4 by Materials Project

Dy6V4Al43 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. Dy is bonded in a 6-coordinate geometry to one Dy, one V, and fifteen Al atoms. The Dy–Dy bond length is 3.45 Å. The Dy–V bond length is 3.51 Å. There are a spread of Dy–Al bond distances ranging from 3.06–3.48 Å. There are two inequivalent V sites. In the first V site, V is bonded to twelve Al atoms to form VAl12 cuboctahedra that share corners with six equivalent VDy2Al10 cuboctahedra and edges with six equivalent AlAl10V2 cuboctahedra. There are six shorter (2.67 Å) and six longer (2.83 Å) V–Al bond lengths. In the second V site, V is bonded to two equivalent Dy and ten Al atoms to form distorted VDy2Al10 cuboctahedra that share corners with four VAl12 cuboctahedra, an edgeedge with one AlAl10V2 cuboctahedra, and faces with six AlAl10V2 cuboctahedra. There are a spread of V–Al bond distances ranging from 2.57–2.69 Å. There are seven inequivalent Al sites. In the first Al site, Al is bonded in a 12-coordinate geometry to four equivalent Dy and eight Al atoms. There are a spread of Al–Al bond distances ranging from 2.73–3.11 Å. In the second Al site, Al is bonded in a 12-coordinate geometry to two equivalent Dy, one V, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.74–3.00 Å. In the third Al site, Al is bonded in a 10-coordinate geometry to two equivalent Dy, one V, and seven Al atoms. There are one shorter (2.79 Å) and two longer (2.82 Å) Al–Al bond lengths. In the fourth Al site, Al is bonded to two equivalent V and ten Al atoms to form distorted AlAl10V2 cuboctahedra that share corners with four equivalent AlDy3Al9 cuboctahedra, edges with three VAl12 cuboctahedra, faces with two equivalent VDy2Al10 cuboctahedra, and faces with two equivalent AlAl10V2 cuboctahedra. There are two shorter (2.76 Å) and four longer (2.89 Å) Al–Al bond lengths. In the fifth Al site, Al is bonded to three equivalent Dy and nine Al atoms to form AlDy3Al9 cuboctahedra that share corners with six AlAl10V2 cuboctahedra, faces with two equivalent AlDy3Al9 cuboctahedra, and faces with three equivalent VDy2Al10 cuboctahedra. In the sixth Al site, Al is bonded in a 12-coordinate geometry to one Dy, two V, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.79–2.96 Å. In the seventh Al site, Al is bonded in a 12-coordinate geometry to two equivalent Dy, one V, and nine Al atoms. Both Al–Al bond lengths are 2.98 Å.

36 MATERIALS SCIENCE↗

Materials Data on Y6Nb4Al43 by Materials Project

Y6Nb4Al43 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. Y is bonded in a 6-coordinate geometry to one Y, one Nb, and fifteen Al atoms. The Y–Y bond length is 3.48 Å. The Y–Nb bond length is 3.50 Å. There are a spread of Y–Al bond distances ranging from 3.07–3.49 Å. There are two inequivalent Nb sites. In the first Nb site, Nb is bonded to twelve Al atoms to form NbAl12 cuboctahedra that share corners with six equivalent NbY2Al10 cuboctahedra and edges with six equivalent AlNb2Al10 cuboctahedra. There are six shorter (2.71 Å) and six longer (2.90 Å) Nb–Al bond lengths. In the second Nb site, Nb is bonded to two equivalent Y and ten Al atoms to form distorted NbY2Al10 cuboctahedra that share corners with four NbAl12 cuboctahedra, an edgeedge with one AlNb2Al10 cuboctahedra, and faces with six AlNb2Al10 cuboctahedra. There are a spread of Nb–Al bond distances ranging from 2.65–2.76 Å. There are seven inequivalent Al sites. In the first Al site, Al is bonded in a 12-coordinate geometry to one Y, two Nb, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.77–3.07 Å. In the second Al site, Al is bonded in a 12-coordinate geometry to two equivalent Y, one Nb, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.76–3.05 Å. In the third Al site, Al is bonded in a 12-coordinate geometry to four equivalent Y and eight Al atoms. There are a spread of Al–Al bond distances ranging from 2.80–3.10 Å. In the fourth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Y, one Nb, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.75–3.06 Å. In the fifth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Y, one Nb, and seven Al atoms. There are two shorter (2.83 Å) and one longer (2.89 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded to two equivalent Nb and ten Al atoms to form distorted AlNb2Al10 cuboctahedra that share corners with four equivalent AlY3Al9 cuboctahedra, edges with three NbAl12 cuboctahedra, faces with two equivalent NbY2Al10 cuboctahedra, and faces with two equivalent AlNb2Al10 cuboctahedra. Both Al–Al bond lengths are 2.83 Å. In the seventh Al site, Al is bonded to three equivalent Y and nine Al atoms to form AlY3Al9 cuboctahedra that share corners with six AlNb2Al10 cuboctahedra, faces with two equivalent AlY3Al9 cuboctahedra, and faces with three equivalent NbY2Al10 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Er6Nb4Al43 by Materials Project

Er6Nb4Al43 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. Er is bonded in a 6-coordinate geometry to one Er, one Nb, and fifteen Al atoms. The Er–Er bond length is 3.47 Å. The Er–Nb bond length is 3.48 Å. There are a spread of Er–Al bond distances ranging from 3.06–3.47 Å. There are two inequivalent Nb sites. In the first Nb site, Nb is bonded to twelve Al atoms to form NbAl12 cuboctahedra that share corners with six equivalent NbEr2Al10 cuboctahedra and edges with six equivalent AlNb2Al10 cuboctahedra. There are six shorter (2.70 Å) and six longer (2.91 Å) Nb–Al bond lengths. In the second Nb site, Nb is bonded to two equivalent Er and ten Al atoms to form distorted NbEr2Al10 cuboctahedra that share corners with four NbAl12 cuboctahedra, an edgeedge with one AlNb2Al10 cuboctahedra, and faces with six AlNb2Al10 cuboctahedra. There are a spread of Nb–Al bond distances ranging from 2.64–2.75 Å. There are seven inequivalent Al sites. In the first Al site, Al is bonded in a 12-coordinate geometry to one Er, two Nb, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.76–3.06 Å. In the second Al site, Al is bonded in a 12-coordinate geometry to two equivalent Er, one Nb, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.75–3.05 Å. In the third Al site, Al is bonded in a 12-coordinate geometry to four equivalent Er and eight Al atoms. There are a spread of Al–Al bond distances ranging from 2.78–3.08 Å. In the fourth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Er, one Nb, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.74–3.06 Å. In the fifth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Er, one Nb, and seven Al atoms. There are two shorter (2.82 Å) and one longer (2.89 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded to two equivalent Nb and ten Al atoms to form distorted AlNb2Al10 cuboctahedra that share corners with four equivalent AlEr3Al9 cuboctahedra, edges with three NbAl12 cuboctahedra, faces with two equivalent NbEr2Al10 cuboctahedra, and faces with two equivalent AlNb2Al10 cuboctahedra. Both Al–Al bond lengths are 2.83 Å. In the seventh Al site, Al is bonded to three equivalent Er and nine Al atoms to form AlEr3Al9 cuboctahedra that share corners with six AlNb2Al10 cuboctahedra, faces with two equivalent AlEr3Al9 cuboctahedra, and faces with three equivalent NbEr2Al10 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on U6Nb4Al43 by Materials Project

U6Nb4Al43 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. U is bonded in a 8-coordinate geometry to one U, one Nb, and fifteen Al atoms. The U–U bond length is 3.21 Å. The U–Nb bond length is 3.58 Å. There are a spread of U–Al bond distances ranging from 3.07–3.52 Å. There are two inequivalent Nb sites. In the first Nb site, Nb is bonded to twelve Al atoms to form NbAl12 cuboctahedra that share edges with six equivalent AlNb2Al10 cuboctahedra. There are six shorter (2.70 Å) and six longer (2.91 Å) Nb–Al bond lengths. In the second Nb site, Nb is bonded in a 12-coordinate geometry to two equivalent U and ten Al atoms. There are a spread of Nb–Al bond distances ranging from 2.65–2.76 Å. There are seven inequivalent Al sites. In the first Al site, Al is bonded in a 12-coordinate geometry to one U, two Nb, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.76–3.09 Å. In the second Al site, Al is bonded in a 12-coordinate geometry to two equivalent U, one Nb, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.75–3.04 Å. In the third Al site, Al is bonded in a 12-coordinate geometry to four equivalent U and eight Al atoms. There are a spread of Al–Al bond distances ranging from 2.78–3.05 Å. In the fourth Al site, Al is bonded in a 12-coordinate geometry to two equivalent U, one Nb, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.73–3.06 Å. In the fifth Al site, Al is bonded in a 10-coordinate geometry to two equivalent U, one Nb, and seven Al atoms. There are two shorter (2.81 Å) and one longer (2.85 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded to two equivalent Nb and ten Al atoms to form distorted AlNb2Al10 cuboctahedra that share corners with four equivalent AlU3Al9 cuboctahedra, edges with two equivalent NbAl12 cuboctahedra, and faces with two equivalent AlNb2Al10 cuboctahedra. Both Al–Al bond lengths are 2.82 Å. In the seventh Al site, Al is bonded to three equivalent U and nine Al atoms to form AlU3Al9 cuboctahedra that share corners with six AlNb2Al10 cuboctahedra and faces with two equivalent AlU3Al9 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Sm6Ti4Al43 by Materials Project

Sm6Ti4Al43 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. Sm is bonded in a 6-coordinate geometry to one Sm, one Ti, and fifteen Al atoms. The Sm–Sm bond length is 3.53 Å. The Sm–Ti bond length is 3.54 Å. There are a spread of Sm–Al bond distances ranging from 3.12–3.52 Å. There are two inequivalent Ti sites. In the first Ti site, Ti is bonded to twelve Al atoms to form TiAl12 cuboctahedra that share edges with six equivalent AlTi2Al10 cuboctahedra. There are six shorter (2.72 Å) and six longer (2.87 Å) Ti–Al bond lengths. In the second Ti site, Ti is bonded in a 12-coordinate geometry to two equivalent Sm and ten Al atoms. There are a spread of Ti–Al bond distances ranging from 2.63–2.73 Å. There are seven inequivalent Al sites. In the first Al site, Al is bonded in a 12-coordinate geometry to one Sm, two Ti, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.77–3.03 Å. In the second Al site, Al is bonded in a 12-coordinate geometry to two equivalent Sm, one Ti, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.78–3.01 Å. In the third Al site, Al is bonded in a 10-coordinate geometry to four equivalent Sm and eight Al atoms. There are a spread of Al–Al bond distances ranging from 2.82–3.16 Å. In the fourth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Sm, one Ti, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.78–3.05 Å. In the fifth Al site, Al is bonded in a 10-coordinate geometry to two equivalent Sm, one Ti, and seven Al atoms. There are two shorter (2.85 Å) and one longer (2.90 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded to two equivalent Ti and ten Al atoms to form distorted AlTi2Al10 cuboctahedra that share corners with four equivalent AlSm3Al9 cuboctahedra, edges with two equivalent TiAl12 cuboctahedra, and faces with two equivalent AlTi2Al10 cuboctahedra. Both Al–Al bond lengths are 2.82 Å. In the seventh Al site, Al is bonded to three equivalent Sm and nine Al atoms to form AlSm3Al9 cuboctahedra that share corners with six AlTi2Al10 cuboctahedra and faces with two equivalent AlSm3Al9 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Y6Ti4Al43 by Materials Project

Y6Ti4Al43 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. Y is bonded in a 6-coordinate geometry to one Y, one Ti, and fifteen Al atoms. The Y–Y bond length is 3.51 Å. The Y–Ti bond length is 3.50 Å. There are a spread of Y–Al bond distances ranging from 3.09–3.48 Å. There are two inequivalent Ti sites. In the first Ti site, Ti is bonded to twelve Al atoms to form TiAl12 cuboctahedra that share edges with six equivalent AlTi2Al10 cuboctahedra. There are six shorter (2.70 Å) and six longer (2.87 Å) Ti–Al bond lengths. In the second Ti site, Ti is bonded in a 12-coordinate geometry to two equivalent Y and ten Al atoms. There are a spread of Ti–Al bond distances ranging from 2.62–2.72 Å. There are seven inequivalent Al sites. In the first Al site, Al is bonded in a 12-coordinate geometry to one Y, two Ti, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.76–3.02 Å. In the second Al site, Al is bonded in a 12-coordinate geometry to two equivalent Y, one Ti, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.76–3.01 Å. In the third Al site, Al is bonded in a 12-coordinate geometry to four equivalent Y and eight Al atoms. There are a spread of Al–Al bond distances ranging from 2.79–3.12 Å. In the fourth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Y, one Ti, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.75–3.04 Å. In the fifth Al site, Al is bonded in a 10-coordinate geometry to two equivalent Y, one Ti, and seven Al atoms. There are two shorter (2.83 Å) and one longer (2.89 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded to two equivalent Ti and ten Al atoms to form distorted AlTi2Al10 cuboctahedra that share corners with four equivalent AlY3Al9 cuboctahedra, edges with two equivalent TiAl12 cuboctahedra, and faces with two equivalent AlTi2Al10 cuboctahedra. Both Al–Al bond lengths are 2.82 Å. In the seventh Al site, Al is bonded to three equivalent Y and nine Al atoms to form AlY3Al9 cuboctahedra that share corners with six AlTi2Al10 cuboctahedra and faces with two equivalent AlY3Al9 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Er6Ti4Al43 by Materials Project

Er6Ti4Al43 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. Er is bonded in a 6-coordinate geometry to one Er, one Ti, and fifteen Al atoms. The Er–Er bond length is 3.48 Å. The Er–Ti bond length is 3.49 Å. There are a spread of Er–Al bond distances ranging from 3.08–3.46 Å. There are two inequivalent Ti sites. In the first Ti site, Ti is bonded in a cuboctahedral geometry to twelve Al atoms. There are six shorter (2.69 Å) and six longer (2.87 Å) Ti–Al bond lengths. In the second Ti site, Ti is bonded in a 10-coordinate geometry to two equivalent Er and ten Al atoms. There are a spread of Ti–Al bond distances ranging from 2.61–2.72 Å. There are seven inequivalent Al sites. In the first Al site, Al is bonded in a 12-coordinate geometry to one Er, two Ti, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.75–3.04 Å. In the second Al site, Al is bonded in a 12-coordinate geometry to two equivalent Er, one Ti, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.75–3.01 Å. In the third Al site, Al is bonded in a 12-coordinate geometry to four equivalent Er and eight Al atoms. There are a spread of Al–Al bond distances ranging from 2.78–3.10 Å. In the fourth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Er, one Ti, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.74–3.04 Å. In the fifth Al site, Al is bonded in a 10-coordinate geometry to two equivalent Er, one Ti, and seven Al atoms. There are two shorter (2.83 Å) and one longer (2.85 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Ti and ten Al atoms. Both Al–Al bond lengths are 2.82 Å. In the seventh Al site, Al is bonded to three equivalent Er and nine Al atoms to form a mixture of corner and face-sharing AlEr3Al9 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Sm6Nb4Al43 by Materials Project

Sm6Nb4Al43 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. Sm is bonded in a 6-coordinate geometry to one Sm, one Nb, and fifteen Al atoms. The Sm–Sm bond length is 3.49 Å. The Sm–Nb bond length is 3.55 Å. There are a spread of Sm–Al bond distances ranging from 3.09–3.52 Å. There are two inequivalent Nb sites. In the first Nb site, Nb is bonded to twelve Al atoms to form NbAl12 cuboctahedra that share corners with six equivalent NbSm2Al10 cuboctahedra and edges with six equivalent AlNb2Al10 cuboctahedra. There are six shorter (2.73 Å) and six longer (2.90 Å) Nb–Al bond lengths. In the second Nb site, Nb is bonded to two equivalent Sm and ten Al atoms to form distorted NbSm2Al10 cuboctahedra that share corners with four NbAl12 cuboctahedra, an edgeedge with one AlNb2Al10 cuboctahedra, and faces with six AlNb2Al10 cuboctahedra. There are a spread of Nb–Al bond distances ranging from 2.64–2.76 Å. There are seven inequivalent Al sites. In the first Al site, Al is bonded in a 12-coordinate geometry to one Sm, two Nb, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.78–3.07 Å. In the second Al site, Al is bonded in a 12-coordinate geometry to two equivalent Sm, one Nb, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.78–3.05 Å. In the third Al site, Al is bonded in a 12-coordinate geometry to four equivalent Sm and eight Al atoms. There are a spread of Al–Al bond distances ranging from 2.82–3.14 Å. In the fourth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Sm, one Nb, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.76–3.06 Å. In the fifth Al site, Al is bonded in a 10-coordinate geometry to two equivalent Sm, one Nb, and seven Al atoms. There are two shorter (2.84 Å) and one longer (2.90 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded to two equivalent Nb and ten Al atoms to form distorted AlNb2Al10 cuboctahedra that share corners with four equivalent AlSm3Al9 cuboctahedra, edges with three NbAl12 cuboctahedra, faces with two equivalent NbSm2Al10 cuboctahedra, and faces with two equivalent AlNb2Al10 cuboctahedra. Both Al–Al bond lengths are 2.83 Å. In the seventh Al site, Al is bonded to three equivalent Sm and nine Al atoms to form AlSm3Al9 cuboctahedra that share corners with six AlNb2Al10 cuboctahedra, faces with two equivalent AlSm3Al9 cuboctahedra, and faces with three equivalent NbSm2Al10 cuboctahedra.

36 MATERIALS SCIENCE↗