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Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations
Sm3Co8Sn4 is Hexagonal Laves-derived structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. Sm is bonded in a 12-coordinate geometry to eight Co and six Sn atoms. There are a spread of Sm–Co bond distances ranging from 3.11–3.59 Å. There are a spread of Sm–Sn bond distances ranging from 3.20–3.28 Å. There are four inequivalent Co sites. In the first Co site, Co is bonded in a 10-coordinate geometry to six equivalent Sm and four Sn atoms. There are three shorter (2.55 Å) and one longer (2.66 Å) Co–Sn bond lengths. In the second Co site, Co is bonded to two equivalent Sm, seven Co, and three equivalent Sn atoms to form distorted CoSm2Co7Sn3 cuboctahedra that share corners with four equivalent CoSm2Co7Sn3 cuboctahedra, corners with five equivalent SnSm4Co8 cuboctahedra, faces with six equivalent SnSm4Co8 cuboctahedra, and faces with eight CoSm2Co7Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.38–2.57 Å. There are one shorter (2.67 Å) and two longer (2.68 Å) Co–Sn bond lengths. In the third Co site, Co is bonded in a 12-coordinate geometry to four equivalent Sm, four Co, and four Sn atoms. The Co–Co bond length is 2.46 Å. There are a spread of Co–Sn bond distances ranging from 2.72–2.85 Å. In the fourth Co site, Co is bonded to nine Co and three equivalent Sn atoms to form CoCo9Sn3 cuboctahedra that share corners with three equivalent SnSm4Co8 cuboctahedra, faces with six equivalent SnSm4Co8 cuboctahedra, and faces with eight CoSm2Co7Sn3 cuboctahedra. All Co–Sn bond lengths are 2.69 Å. There are two inequivalent Sn sites. In the first Sn site, Sn is bonded in a 10-coordinate geometry to six equivalent Sm and four Co atoms. In the second Sn site, Sn is bonded to four equivalent Sm and eight Co atoms to form distorted SnSm4Co8 cuboctahedra that share corners with four equivalent SnSm4Co8 cuboctahedra, corners with six CoSm2Co7Sn3 cuboctahedra, faces with eight CoSm2Co7Sn3 cuboctahedra, and faces with eight equivalent SnSm4Co8 cuboctahedra.
Tb3Co8Sn4 is Hexagonal Laves-derived structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. Tb is bonded in a 12-coordinate geometry to eight Co and six Sn atoms. There are a spread of Tb–Co bond distances ranging from 3.06–3.56 Å. There are a spread of Tb–Sn bond distances ranging from 3.17–3.26 Å. There are four inequivalent Co sites. In the first Co site, Co is bonded in a 10-coordinate geometry to six equivalent Tb and four Sn atoms. There are three shorter (2.52 Å) and one longer (2.64 Å) Co–Sn bond lengths. In the second Co site, Co is bonded to two equivalent Tb, seven Co, and three equivalent Sn atoms to form distorted CoTb2Co7Sn3 cuboctahedra that share corners with four equivalent CoTb2Co7Sn3 cuboctahedra, corners with five equivalent SnTb4Co8 cuboctahedra, faces with six equivalent SnTb4Co8 cuboctahedra, and faces with eight CoTb2Co7Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.38–2.60 Å. There are one shorter (2.65 Å) and two longer (2.66 Å) Co–Sn bond lengths. In the third Co site, Co is bonded in a 12-coordinate geometry to four equivalent Tb, four Co, and four Sn atoms. The Co–Co bond length is 2.48 Å. There are a spread of Co–Sn bond distances ranging from 2.68–2.81 Å. In the fourth Co site, Co is bonded to nine Co and three equivalent Sn atoms to form CoCo9Sn3 cuboctahedra that share corners with three equivalent SnTb4Co8 cuboctahedra, faces with six equivalent SnTb4Co8 cuboctahedra, and faces with eight CoTb2Co7Sn3 cuboctahedra. All Co–Sn bond lengths are 2.68 Å. There are two inequivalent Sn sites. In the first Sn site, Sn is bonded in a 10-coordinate geometry to six equivalent Tb and four Co atoms. In the second Sn site, Sn is bonded to four equivalent Tb and eight Co atoms to form distorted SnTb4Co8 cuboctahedra that share corners with four equivalent SnTb4Co8 cuboctahedra, corners with six CoTb2Co7Sn3 cuboctahedra, faces with eight CoTb2Co7Sn3 cuboctahedra, and faces with eight equivalent SnTb4Co8 cuboctahedra.
Nd3Co8Sn4 is Hexagonal Laves-derived structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. Nd is bonded in a 12-coordinate geometry to eight Co and six Sn atoms. There are a spread of Nd–Co bond distances ranging from 3.17–3.58 Å. There are a spread of Nd–Sn bond distances ranging from 3.23–3.33 Å. There are four inequivalent Co sites. In the first Co site, Co is bonded to two equivalent Nd, seven Co, and three equivalent Sn atoms to form distorted CoNd2Co7Sn3 cuboctahedra that share corners with nine CoNd4Co4Sn4 cuboctahedra and faces with fourteen CoNd2Co7Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.37–2.57 Å. All Co–Sn bond lengths are 2.68 Å. In the second Co site, Co is bonded to four equivalent Nd, four Co, and four Sn atoms to form a mixture of distorted face and corner-sharing CoNd4Co4Sn4 cuboctahedra. The Co–Co bond length is 2.47 Å. There are a spread of Co–Sn bond distances ranging from 2.72–2.84 Å. In the third Co site, Co is bonded to nine Co and three equivalent Sn atoms to form CoCo9Sn3 cuboctahedra that share corners with three equivalent CoNd4Co4Sn4 cuboctahedra and faces with fourteen CoNd2Co7Sn3 cuboctahedra. All Co–Sn bond lengths are 2.71 Å. In the fourth Co site, Co is bonded in a 10-coordinate geometry to six equivalent Nd and four Sn atoms. There are three shorter (2.56 Å) and one longer (2.76 Å) Co–Sn bond lengths. There are two inequivalent Sn sites. In the first Sn site, Sn is bonded in a 10-coordinate geometry to six equivalent Nd and four Co atoms. In the second Sn site, Sn is bonded in a 12-coordinate geometry to four equivalent Nd and eight Co atoms.
Ho3Co8Sn4 is Hexagonal Laves-derived structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. Ho is bonded in a 12-coordinate geometry to six Co and six Sn atoms. There are a spread of Ho–Co bond distances ranging from 3.03–3.38 Å. There are a spread of Ho–Sn bond distances ranging from 3.16–3.27 Å. There are four inequivalent Co sites. In the first Co site, Co is bonded in a 10-coordinate geometry to six equivalent Ho and four Sn atoms. There are three shorter (2.51 Å) and one longer (2.65 Å) Co–Sn bond lengths. In the second Co site, Co is bonded to two equivalent Ho, seven Co, and three equivalent Sn atoms to form distorted CoHo2Co7Sn3 cuboctahedra that share corners with four equivalent CoHo2Co7Sn3 cuboctahedra, corners with five equivalent SnHo4Co8 cuboctahedra, faces with six equivalent SnHo4Co8 cuboctahedra, and faces with eight CoHo2Co7Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.37–2.62 Å. There are one shorter (2.64 Å) and two longer (2.66 Å) Co–Sn bond lengths. In the third Co site, Co is bonded in a 12-coordinate geometry to two equivalent Ho, four Co, and four Sn atoms. The Co–Co bond length is 2.48 Å. There are a spread of Co–Sn bond distances ranging from 2.65–2.79 Å. In the fourth Co site, Co is bonded to nine Co and three equivalent Sn atoms to form CoCo9Sn3 cuboctahedra that share corners with three equivalent SnHo4Co8 cuboctahedra, faces with six equivalent SnHo4Co8 cuboctahedra, and faces with eight CoHo2Co7Sn3 cuboctahedra. All Co–Sn bond lengths are 2.67 Å. There are two inequivalent Sn sites. In the first Sn site, Sn is bonded in a 10-coordinate geometry to six equivalent Ho and four Co atoms. In the second Sn site, Sn is bonded to four equivalent Ho and eight Co atoms to form distorted SnHo4Co8 cuboctahedra that share corners with four equivalent SnHo4Co8 cuboctahedra, corners with six CoHo2Co7Sn3 cuboctahedra, faces with eight CoHo2Co7Sn3 cuboctahedra, and faces with eight equivalent SnHo4Co8 cuboctahedra.
Dy3Co8Sn4 is Hexagonal Laves-derived structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. Dy is bonded in a 12-coordinate geometry to six Co and six Sn atoms. There are a spread of Dy–Co bond distances ranging from 3.03–3.36 Å. There are a spread of Dy–Sn bond distances ranging from 3.17–3.26 Å. There are four inequivalent Co sites. In the first Co site, Co is bonded in a 10-coordinate geometry to six equivalent Dy and four Sn atoms. There are three shorter (2.52 Å) and one longer (2.64 Å) Co–Sn bond lengths. In the second Co site, Co is bonded to two equivalent Dy, seven Co, and three equivalent Sn atoms to form distorted CoDy2Co7Sn3 cuboctahedra that share corners with four equivalent CoDy2Co7Sn3 cuboctahedra, corners with five equivalent SnDy4Co8 cuboctahedra, faces with six equivalent SnDy4Co8 cuboctahedra, and faces with eight CoDy2Co7Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.37–2.60 Å. There are one shorter (2.63 Å) and two longer (2.65 Å) Co–Sn bond lengths. In the third Co site, Co is bonded in a 12-coordinate geometry to two equivalent Dy, four Co, and four Sn atoms. The Co–Co bond length is 2.49 Å. There are a spread of Co–Sn bond distances ranging from 2.65–2.77 Å. In the fourth Co site, Co is bonded to nine Co and three equivalent Sn atoms to form CoCo9Sn3 cuboctahedra that share corners with three equivalent SnDy4Co8 cuboctahedra, faces with six equivalent SnDy4Co8 cuboctahedra, and faces with eight CoDy2Co7Sn3 cuboctahedra. All Co–Sn bond lengths are 2.66 Å. There are two inequivalent Sn sites. In the first Sn site, Sn is bonded in a 10-coordinate geometry to six equivalent Dy and four Co atoms. In the second Sn site, Sn is bonded to four equivalent Dy and eight Co atoms to form distorted SnDy4Co8 cuboctahedra that share corners with four equivalent SnDy4Co8 cuboctahedra, corners with six CoDy2Co7Sn3 cuboctahedra, faces with eight CoDy2Co7Sn3 cuboctahedra, and faces with eight equivalent SnDy4Co8 cuboctahedra.
Pr3Co8Sn4 is Hexagonal Laves-derived structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. Pr is bonded in a 12-coordinate geometry to eight Co and six Sn atoms. There are a spread of Pr–Co bond distances ranging from 3.17–3.62 Å. There are a spread of Pr–Sn bond distances ranging from 3.23–3.30 Å. There are four inequivalent Co sites. In the first Co site, Co is bonded in a 10-coordinate geometry to six equivalent Pr and four Sn atoms. There are three shorter (2.58 Å) and one longer (2.68 Å) Co–Sn bond lengths. In the second Co site, Co is bonded to two equivalent Pr, seven Co, and three equivalent Sn atoms to form CoPr2Co7Sn3 cuboctahedra that share corners with four equivalent CoPr2Co7Sn3 cuboctahedra, corners with five equivalent SnPr4Co8 cuboctahedra, faces with six equivalent SnPr4Co8 cuboctahedra, and faces with eight CoPr2Co7Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.39–2.57 Å. All Co–Sn bond lengths are 2.70 Å. In the third Co site, Co is bonded in a 12-coordinate geometry to four equivalent Pr, four Co, and four Sn atoms. The Co–Co bond length is 2.45 Å. There are a spread of Co–Sn bond distances ranging from 2.72–2.87 Å. In the fourth Co site, Co is bonded to nine Co and three equivalent Sn atoms to form CoCo9Sn3 cuboctahedra that share corners with three equivalent SnPr4Co8 cuboctahedra, faces with six equivalent SnPr4Co8 cuboctahedra, and faces with eight CoPr2Co7Sn3 cuboctahedra. All Co–Sn bond lengths are 2.71 Å. There are two inequivalent Sn sites. In the first Sn site, Sn is bonded in a 10-coordinate geometry to six equivalent Pr and four Co atoms. In the second Sn site, Sn is bonded to four equivalent Pr and eight Co atoms to form distorted SnPr4Co8 cuboctahedra that share corners with four equivalent SnPr4Co8 cuboctahedra, corners with six CoPr2Co7Sn3 cuboctahedra, faces with eight CoPr2Co7Sn3 cuboctahedra, and faces with eight equivalent SnPr4Co8 cuboctahedra.
Y3(Co2Sn)4 is Hexagonal Laves-derived structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. Y is bonded in a 11-coordinate geometry to eight Co and six Sn atoms. There are a spread of Y–Co bond distances ranging from 3.06–3.49 Å. There are a spread of Y–Sn bond distances ranging from 3.19–3.27 Å. There are four inequivalent Co sites. In the first Co site, Co is bonded to two equivalent Y, seven Co, and three equivalent Sn atoms to form a mixture of distorted corner and face-sharing CoY2Co7Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.37–2.61 Å. There are one shorter (2.64 Å) and two longer (2.67 Å) Co–Sn bond lengths. In the second Co site, Co is bonded to nine Co and three equivalent Sn atoms to form face-sharing CoCo9Sn3 cuboctahedra. All Co–Co bond lengths are 2.49 Å. All Co–Sn bond lengths are 2.71 Å. In the third Co site, Co is bonded in a 7-coordinate geometry to six equivalent Y and four Sn atoms. There are three shorter (2.50 Å) and one longer (2.78 Å) Co–Sn bond lengths. In the fourth Co site, Co is bonded in a 12-coordinate geometry to four equivalent Y, four Co, and four Sn atoms. There are a spread of Co–Sn bond distances ranging from 2.70–2.79 Å. There are two inequivalent Sn sites. In the first Sn site, Sn is bonded in a 12-coordinate geometry to four equivalent Y and eight Co atoms. In the second Sn site, Sn is bonded in a 10-coordinate geometry to six equivalent Y and four Co atoms.
Yb3(Co2Sn)4 is Hexagonal Laves-derived structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. Yb is bonded in a 12-coordinate geometry to eight Co and six Sn atoms. There are a spread of Yb–Co bond distances ranging from 3.08–3.54 Å. There are a spread of Yb–Sn bond distances ranging from 3.17–3.26 Å. There are four inequivalent Co sites. In the first Co site, Co is bonded in a 12-coordinate geometry to four equivalent Yb, four Co, and four Sn atoms. There are a spread of Co–Co bond distances ranging from 2.46–2.58 Å. There are a spread of Co–Sn bond distances ranging from 2.69–2.83 Å. In the second Co site, Co is bonded to two equivalent Yb, seven Co, and three equivalent Sn atoms to form distorted CoYb2Co7Sn3 cuboctahedra that share corners with four equivalent CoYb2Co7Sn3 cuboctahedra, corners with five equivalent SnYb4Co8 cuboctahedra, faces with six equivalent SnYb4Co8 cuboctahedra, and faces with eight CoYb2Co7Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.38–2.57 Å. There are two shorter (2.66 Å) and one longer (2.68 Å) Co–Sn bond lengths. In the third Co site, Co is bonded in a 10-coordinate geometry to six equivalent Yb and four Sn atoms. There are three shorter (2.50 Å) and one longer (2.56 Å) Co–Sn bond lengths. In the fourth Co site, Co is bonded to nine Co and three equivalent Sn atoms to form CoCo9Sn3 cuboctahedra that share corners with three equivalent SnYb4Co8 cuboctahedra, faces with six equivalent SnYb4Co8 cuboctahedra, and faces with eight CoYb2Co7Sn3 cuboctahedra. All Co–Sn bond lengths are 2.71 Å. There are two inequivalent Sn sites. In the first Sn site, Sn is bonded to four equivalent Yb and eight Co atoms to form distorted SnYb4Co8 cuboctahedra that share corners with four equivalent SnYb4Co8 cuboctahedra, corners with six CoYb2Co7Sn3 cuboctahedra, faces with eight CoYb2Co7Sn3 cuboctahedra, and faces with eight equivalent SnYb4Co8 cuboctahedra. In the second Sn site, Sn is bonded in a 10-coordinate geometry to six equivalent Yb and four Co atoms.
CoTiSn is half-Heusler structured and crystallizes in the cubic F-43m space group. The structure is three-dimensional. Ti is bonded in a 4-coordinate geometry to four equivalent Co and six equivalent Sn atoms. All Ti–Co bond lengths are 2.58 Å. All Ti–Sn bond lengths are 2.98 Å. Co is bonded in a body-centered cubic geometry to four equivalent Ti and four equivalent Sn atoms. All Co–Sn bond lengths are 2.58 Å. Sn is bonded in a 10-coordinate geometry to six equivalent Ti and four equivalent Co atoms.
NbCoSn is half-Heusler structured and crystallizes in the cubic F-43m space group. The structure is three-dimensional. Nb is bonded in a 4-coordinate geometry to four equivalent Co and six equivalent Sn atoms. All Nb–Co bond lengths are 2.59 Å. All Nb–Sn bond lengths are 2.99 Å. Co is bonded in a body-centered cubic geometry to four equivalent Nb and four equivalent Sn atoms. All Co–Sn bond lengths are 2.59 Å. Sn is bonded in a 10-coordinate geometry to six equivalent Nb and four equivalent Co atoms.
Co3Sn(PO4)4 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are three inequivalent Co+2.67+ sites. In the first Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with four equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Co–O bond distances ranging from 1.85–2.14 Å. In the second Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with four equivalent SnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Co–O bond distances ranging from 1.96–2.25 Å. In the third Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with four equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Co–O bond distances ranging from 1.88–2.12 Å. Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with four equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Sn–O bond distances ranging from 2.01–2.17 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SnO6 octahedra, corners with three CoO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SnO6 octahedra, corners with three CoO6 octahedra, and an edgeedge with one SnO6 octahedra. The corner-sharing octahedra tilt angles range from 37–57°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO6 octahedra and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 38–56°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two CoO6 octahedra, corners with two equivalent SnO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 39–56°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sn4+ and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Co+2.67+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Co+2.67+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Co+2.67+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Co+2.67+, one Sn4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Co+2.67+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Co+2.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Co+2.67+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sn4+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Co+2.67+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Co+2.67+, one Sn4+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Co+2.67+ and one P5+ atom.
Dy7Co6Sn23 crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. there are two inequivalent Dy sites. In the first Dy site, Dy is bonded in a 12-coordinate geometry to six equivalent Co and twelve Sn atoms. All Dy–Co bond lengths are 3.44 Å. There are six shorter (3.37 Å) and six longer (3.39 Å) Dy–Sn bond lengths. In the second Dy site, Dy is bonded in a 12-coordinate geometry to two equivalent Co and ten Sn atoms. Both Dy–Co bond lengths are 3.18 Å. There are a spread of Dy–Sn bond distances ranging from 3.09–3.42 Å. Co is bonded in a 9-coordinate geometry to three Dy and six Sn atoms. There are a spread of Co–Sn bond distances ranging from 2.59–2.80 Å. There are six inequivalent Sn sites. In the first Sn site, Sn is bonded in a 2-coordinate geometry to three Dy and two equivalent Co atoms. In the second Sn site, Sn is bonded in a 7-coordinate geometry to three equivalent Dy, three equivalent Co, and one Sn atom. The Sn–Sn bond length is 2.98 Å. In the third Sn site, Sn is bonded in a 6-coordinate geometry to six equivalent Sn atoms. All Sn–Sn bond lengths are 2.99 Å. In the fourth Sn site, Sn is bonded in a 5-coordinate geometry to four equivalent Dy, one Co, and one Sn atom. The Sn–Sn bond length is 3.20 Å. In the fifth Sn site, Sn is bonded in a 4-coordinate geometry to three equivalent Dy and one Sn atom. In the sixth Sn site, Sn is bonded in a 7-coordinate geometry to three Dy, two equivalent Co, and two Sn atoms.
Tb7Co6Sn23 crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. there are two inequivalent Tb sites. In the first Tb site, Tb is bonded in a 12-coordinate geometry to six equivalent Co and twelve Sn atoms. All Tb–Co bond lengths are 3.44 Å. There are six shorter (3.37 Å) and six longer (3.38 Å) Tb–Sn bond lengths. In the second Tb site, Tb is bonded in a 12-coordinate geometry to two equivalent Co and ten Sn atoms. Both Tb–Co bond lengths are 3.17 Å. There are a spread of Tb–Sn bond distances ranging from 3.09–3.40 Å. Co is bonded in a 9-coordinate geometry to three Tb and six Sn atoms. There are a spread of Co–Sn bond distances ranging from 2.59–2.79 Å. There are six inequivalent Sn sites. In the first Sn site, Sn is bonded in a 12-coordinate geometry to three Tb, two equivalent Co, and one Sn atom. The Sn–Sn bond length is 2.98 Å. In the second Sn site, Sn is bonded in a 7-coordinate geometry to three equivalent Tb, three equivalent Co, and one Sn atom. The Sn–Sn bond length is 2.95 Å. In the third Sn site, Sn is bonded in a 6-coordinate geometry to six equivalent Sn atoms. All Sn–Sn bond lengths are 2.98 Å. In the fourth Sn site, Sn is bonded in a 5-coordinate geometry to four equivalent Tb, one Co, and one Sn atom. The Sn–Sn bond length is 3.18 Å. In the fifth Sn site, Sn is bonded in a 4-coordinate geometry to three equivalent Tb and one Sn atom. In the sixth Sn site, Sn is bonded in a 7-coordinate geometry to three Tb, two equivalent Co, and two Sn atoms.
Li3Co2SnO6 is Caswellsilverite-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four equivalent SnO6 octahedra, edges with two equivalent SnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are two shorter (2.15 Å) and four longer (2.20 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one SnO6 octahedra, corners with five equivalent CoO6 octahedra, edges with two equivalent SnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.07–2.27 Å. Co+2.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent SnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Co–O bond distances ranging from 1.97–2.20 Å. Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent SnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are two shorter (2.06 Å) and four longer (2.11 Å) Sn–O bond lengths. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded to three equivalent Li1+, two equivalent Co+2.50+, and one Sn4+ atom to form a mixture of edge and corner-sharing OLi3Co2Sn octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to three Li1+ and three equivalent Co+2.50+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the third O2- site, O2- is bonded to three Li1+, one Co+2.50+, and two equivalent Sn4+ atoms to form a mixture of edge and corner-sharing OLi3CoSn2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°.
The Ln n+1 M n X 3n+1 (Ln = lanthanide, M = transition metal, and X = tetrel) homologous series provides a platform to study collective phenomena in quantum materials. Here, in this work, we compare the crystal growth, structure, and magnetic properties of the n = 3 members of the Pr n+1 M n Ge 3n+1 (M = Fe, Co) analogues, Pr 4 Fe 3 Ge 10 (a = 4.3207 (10) Å, b = 35.523 (8) Å, c = 4.2982 (15) Å, and V = 659.7 (3) Å 3 ) and Pr 4 Co 3 Ge 10 (a = 4.3091 (12) Å, b = 35.750 (9) Å, c = 4.2807 (11) Å, and V = 659.4 (3) Å 3 ). We determined that the ideal flux growth conditions for each compound are highly dependent on the concentration of Sn flux and quench temperature. Pr 4 Fe 3 Ge 10 orders ferromagnetically at 10 K along the c-direction while Pr 4 Co 3 Ge 10 orders antiferromagnetically at 16 K along the b-direction. For both compounds, we observed a magnetic moment higher than that expected for only Pr 3+ ions (3.58 µ B /Pr), implying that the transition metal ions contribute to magnetic ordering (3.91, 3.48, and 3.69 µ B /Pr for Pr 4 Fe 3 Ge 10 , and 3.76, 4.04, and 3.83 µ B /Pr for Pr 4 Co 3 Ge 10 measured along the a-, b-, and c-directions, respectively). Moreover, the zero-field Mössbauer spectrum obtained at 4.2 K for Pr 4 Fe 3 Ge 10 demonstrates that the iron sites participate in magnetic ordering.
Ho7Co6Sn23 crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. there are two inequivalent Ho sites. In the first Ho site, Ho is bonded in a 12-coordinate geometry to six equivalent Co and twelve Sn atoms. All Ho–Co bond lengths are 3.44 Å. All Ho–Sn bond lengths are 3.36 Å. In the second Ho site, Ho is bonded in a 12-coordinate geometry to two equivalent Co and ten Sn atoms. Both Ho–Co bond lengths are 3.18 Å. There are a spread of Ho–Sn bond distances ranging from 3.09–3.41 Å. Co is bonded in a 9-coordinate geometry to three Ho and six Sn atoms. There are a spread of Co–Sn bond distances ranging from 2.59–2.79 Å. There are six inequivalent Sn sites. In the first Sn site, Sn is bonded in a 6-coordinate geometry to six equivalent Sn atoms. All Sn–Sn bond lengths are 2.99 Å. In the second Sn site, Sn is bonded in a 3-coordinate geometry to three equivalent Ho, three equivalent Co, and one Sn atom. The Sn–Sn bond length is 2.94 Å. In the third Sn site, Sn is bonded in a 4-coordinate geometry to three equivalent Ho and one Sn atom. In the fourth Sn site, Sn is bonded in a 2-coordinate geometry to three Ho and two equivalent Co atoms. In the fifth Sn site, Sn is bonded in a 5-coordinate geometry to four equivalent Ho, one Co, and one Sn atom. The Sn–Sn bond length is 3.20 Å. In the sixth Sn site, Sn is bonded in a 7-coordinate geometry to three Ho, two equivalent Co, and two Sn atoms.
Heterometallic clusters have attracted broad interests in the synthetic chemistry due to their various coordination modes and potential applications in heterogeneous catalysis. Here we report the synthesis, experimental, and theoretical characterizations of four ternary clusters ([M 2 (CO) 6 Sn 2 Sb 5 ] 3- (M = Cr, Mo), and [(MSn 2 Sb 5 ) 2 ] 4- , (M = Cu, Ag)) in the process of capturing the hypho - [Sn 2 Sb 5 ] 3- in ethylenediamine (en) solution. We show that the coordination of the binary anion to transition-metal ions or fragments provides additional stabilization due to the formation of locally σ-aromatic units, producing a spherical aromatic shielding region in the cages. While in the case of [Mo 2 (CO) 6 Sn 2 Sb 5 ] 3- stabilization arises from locally σ-aromatic three-centre and five-centre two-electron bonds, aromatic islands in [(AgSn 2 Sb 5 ) 2 ] 4- and [(CuSn 2 Sb 5 ) 2 ] 4- render them globally antiaromatic. This work describes the coordination chemistry of the versatile building block [Sn 2 Sb 5 ] 3- , thus providing conceptual advances in the field of metal-metal bonding in clusters.