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Materials Data on K3Nd(PO4)2 by Materials Project

K3Nd(PO4)2 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are three inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 1-coordinate geometry to eleven O2- atoms. There are a spread of K–O bond distances ranging from 2.67–3.30 Å. In the second K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.72–3.05 Å. In the third K1+ site, K1+ is bonded in a 7-coordinate geometry to ten O2- atoms. There are a spread of K–O bond distances ranging from 2.74–3.22 Å. Nd3+ is bonded to seven O2- atoms to form distorted NdO7 pentagonal bipyramids that share corners with five PO4 tetrahedra and an edgeedge with one PO4 tetrahedra. There are a spread of Nd–O bond distances ranging from 2.36–2.57 Å. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three equivalent NdO7 pentagonal bipyramids. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent NdO7 pentagonal bipyramids and an edgeedge with one NdO7 pentagonal bipyramid. All P–O bond lengths are 1.56 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to four K1+, one Nd3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to four K1+, one Nd3+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one K1+, one Nd3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to four K1+, one Nd3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to four K1+, one Nd3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to five K1+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on K3Nd(AsS4)2 by Materials Project

K3Nd(AsS4)2 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are three inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a distorted body-centered cubic geometry to eight S2- atoms. There are a spread of K–S bond distances ranging from 3.26–3.62 Å. In the second K1+ site, K1+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of K–S bond distances ranging from 3.26–3.61 Å. In the third K1+ site, K1+ is bonded in a distorted square co-planar geometry to four equivalent S2- atoms. There are two shorter (3.18 Å) and two longer (3.34 Å) K–S bond lengths. Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.89–3.14 Å. As5+ is bonded in a tetrahedral geometry to four S2- atoms. There are one shorter (2.16 Å) and three longer (2.20 Å) As–S bond lengths. There are four inequivalent S2- sites. In the first S2- site, S2- is bonded in a 5-coordinate geometry to three K1+, one Nd3+, and one As5+ atom. In the second S2- site, S2- is bonded to four K1+ and one As5+ atom to form a mixture of distorted edge and corner-sharing SK4As square pyramids. In the third S2- site, S2- is bonded in a 4-coordinate geometry to two equivalent K1+, one Nd3+, and one As5+ atom. In the fourth S2- site, S2- is bonded in a 1-coordinate geometry to one K1+, two equivalent Nd3+, and one As5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on K3Nd by Materials Project

K3Nd is beta Cu3Ti-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. K is bonded to eight equivalent K and four equivalent Nd atoms to form distorted KK8Nd4 cuboctahedra that share corners with four equivalent NdK12 cuboctahedra, corners with fourteen equivalent KK8Nd4 cuboctahedra, edges with six equivalent NdK12 cuboctahedra, edges with twelve equivalent KK8Nd4 cuboctahedra, faces with four equivalent NdK12 cuboctahedra, and faces with sixteen equivalent KK8Nd4 cuboctahedra. There are a spread of K–K bond distances ranging from 4.22–4.44 Å. There are two shorter (4.33 Å) and two longer (4.34 Å) K–Nd bond lengths. Nd is bonded to twelve equivalent K atoms to form NdK12 cuboctahedra that share corners with six equivalent NdK12 cuboctahedra, corners with twelve equivalent KK8Nd4 cuboctahedra, edges with eighteen equivalent KK8Nd4 cuboctahedra, faces with eight equivalent NdK12 cuboctahedra, and faces with twelve equivalent KK8Nd4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on K3Nd by Materials Project

K3Nd is Uranium Silicide-like structured and crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. there are two inequivalent K sites. In the first K site, K is bonded to eight K and four equivalent Nd atoms to form KK8Nd4 cuboctahedra that share corners with twelve equivalent KK8Nd4 cuboctahedra, edges with eight equivalent KK8Nd4 cuboctahedra, edges with eight equivalent NdK12 cuboctahedra, faces with four equivalent NdK12 cuboctahedra, and faces with ten equivalent KK8Nd4 cuboctahedra. There are four shorter (4.11 Å) and four longer (4.44 Å) K–K bond lengths. All K–Nd bond lengths are 4.44 Å. In the second K site, K is bonded in a distorted square co-planar geometry to eight equivalent K and four equivalent Nd atoms. All K–Nd bond lengths are 4.11 Å. Nd is bonded to twelve K atoms to form NdK12 cuboctahedra that share corners with four equivalent NdK12 cuboctahedra, edges with eight equivalent NdK12 cuboctahedra, edges with sixteen equivalent KK8Nd4 cuboctahedra, faces with four equivalent NdK12 cuboctahedra, and faces with eight equivalent KK8Nd4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on K3Nd(BO3)2 by Materials Project

K3Nd(BO3)2 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are two inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.74–3.12 Å. In the second K1+ site, K1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.65–3.16 Å. Nd3+ is bonded to seven O2- atoms to form corner-sharing NdO7 pentagonal bipyramids. There are a spread of Nd–O bond distances ranging from 2.39–2.50 Å. There are two inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.42 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.40 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to four equivalent K1+, one Nd3+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent K1+, two equivalent Nd3+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to three K1+, one Nd3+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+, one Nd3+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to five K1+, one Nd3+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on K3Nd(Si2O5)3 by Materials Project

K3NdSi6O15 crystallizes in the orthorhombic Pbam space group. The structure is three-dimensional. there are three inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 2-coordinate geometry to two equivalent O2- atoms. Both K–O bond lengths are 2.92 Å. In the second K1+ site, K1+ is bonded in a 7-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.81–3.06 Å. In the third K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.76–3.12 Å. There are two inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded to six O2- atoms to form NdO6 octahedra that share corners with six SiO4 tetrahedra. There are two shorter (2.38 Å) and four longer (2.39 Å) Nd–O bond lengths. In the second Nd3+ site, Nd3+ is bonded to six O2- atoms to form NdO6 octahedra that share corners with six SiO4 tetrahedra. There are two shorter (2.31 Å) and four longer (2.41 Å) Nd–O bond lengths. There are four inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one NdO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Si–O bond distances ranging from 1.60–1.66 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one NdO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Si–O bond distances ranging from 1.59–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one NdO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 41°. There are a spread of Si–O bond distances ranging from 1.60–1.67 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one NdO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Si–O bond distances ranging from 1.59–1.65 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+ and two Si4+ atoms. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two equivalent Si4+ atoms. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to two K1+, one Nd3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent K1+, one Nd3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one Nd3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two Si4+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Nd3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two equivalent Si4+ atoms. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms.

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