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Materials Data on Tm(FeGe)6 by Materials Project

Tm(FeGe)6 crystallizes in the orthorhombic Immm space group. The structure is three-dimensional. there are two inequivalent Tm sites. In the first Tm site, Tm is bonded to twelve Fe and eight Ge atoms to form distorted TmFe12Ge8 hexagonal bipyramids that share corners with four equivalent TmFe12Ge8 hexagonal bipyramids, faces with eight equivalent FeTm2Fe4Ge6 cuboctahedra, and faces with four TmFe12Ge8 hexagonal bipyramids. There are a spread of Tm–Fe bond distances ranging from 3.24–3.28 Å. There are a spread of Tm–Ge bond distances ranging from 2.81–2.98 Å. In the second Tm site, Tm is bonded to twelve Fe and eight Ge atoms to form distorted face-sharing TmFe12Ge8 hexagonal bipyramids. There are eight shorter (3.26 Å) and four longer (3.27 Å) Tm–Fe bond lengths. There are a spread of Tm–Ge bond distances ranging from 2.80–2.98 Å. There are four inequivalent Fe sites. In the first Fe site, Fe is bonded in a 12-coordinate geometry to two equivalent Tm, four equivalent Fe, and six Ge atoms. All Fe–Fe bond lengths are 2.56 Å. There are four shorter (2.50 Å) and two longer (2.68 Å) Fe–Ge bond lengths. In the second Fe site, Fe is bonded to two equivalent Tm, four Fe, and six Ge atoms to form distorted FeTm2Fe4Ge6 cuboctahedra that share corners with four equivalent FeTm2Fe4Ge6 cuboctahedra, edges with two equivalent FeTm2Fe4Ge6 cuboctahedra, faces with four equivalent FeTm2Fe4Ge6 cuboctahedra, and faces with four equivalent TmFe12Ge8 hexagonal bipyramids. There are two shorter (2.56 Å) and two longer (2.57 Å) Fe–Fe bond lengths. There are a spread of Fe–Ge bond distances ranging from 2.50–2.68 Å. In the third Fe site, Fe is bonded in a 12-coordinate geometry to two equivalent Tm, four Fe, and six Ge atoms. Both Fe–Fe bond lengths are 2.55 Å. There are a spread of Fe–Ge bond distances ranging from 2.48–2.68 Å. In the fourth Fe site, Fe is bonded in a 12-coordinate geometry to two Tm, four Fe, and six Ge atoms. There are one shorter (2.56 Å) and one longer (2.57 Å) Fe–Fe bond lengths. There are a spread of Fe–Ge bond distances ranging from 2.51–2.67 Å. There are nine inequivalent Ge sites. In the first Ge site, Ge is bonded in a 12-coordinate geometry to three Tm and six Fe atoms. In the second Ge site, Ge is bonded in a 6-coordinate geometry to six Fe atoms. In the third Ge site, Ge is bonded in a 12-coordinate geometry to three Tm and six Fe atoms. In the fourth Ge site, Ge is bonded in a 6-coordinate geometry to six Fe atoms. In the fifth Ge site, Ge is bonded in a 8-coordinate geometry to two equivalent Tm and six Fe atoms. In the sixth Ge site, Ge is bonded in a 7-coordinate geometry to one Tm and six Fe atoms. In the seventh Ge site, Ge is bonded in a 8-coordinate geometry to one Tm, six Fe, and one Ge atom. The Ge–Tm bond length is 2.80 Å. All Ge–Fe bond lengths are 2.67 Å. The Ge–Ge bond length is 2.50 Å. In the eighth Ge site, Ge is bonded in a 8-coordinate geometry to one Tm, six Fe, and one Ge atom. Both Ge–Fe bond lengths are 2.68 Å. The Ge–Ge bond length is 2.50 Å. In the ninth Ge site, Ge is bonded in a 8-coordinate geometry to one Tm, six Fe, and one Ge atom. The Ge–Ge bond length is 2.49 Å.

36 MATERIALS SCIENCE↗

Materials Data on Tm9(FeGe)10 by Materials Project

Tm9(FeGe)10 crystallizes in the orthorhombic Immm space group. The structure is three-dimensional. there are four inequivalent Tm sites. In the first Tm site, Tm is bonded in a 6-coordinate geometry to twelve Fe and two equivalent Ge atoms. There are four shorter (2.98 Å) and eight longer (3.19 Å) Tm–Fe bond lengths. Both Tm–Ge bond lengths are 2.91 Å. In the second Tm site, Tm is bonded in a 2-coordinate geometry to four equivalent Fe and six Ge atoms. All Tm–Fe bond lengths are 3.13 Å. There are a spread of Tm–Ge bond distances ranging from 2.87–3.21 Å. In the third Tm site, Tm is bonded in a 7-coordinate geometry to five Fe and six Ge atoms. There are one shorter (2.94 Å) and four longer (3.10 Å) Tm–Fe bond lengths. There are a spread of Tm–Ge bond distances ranging from 2.81–3.05 Å. In the fourth Tm site, Tm is bonded in a 7-coordinate geometry to four equivalent Fe and seven Ge atoms. There are two shorter (3.08 Å) and two longer (3.25 Å) Tm–Fe bond lengths. There are a spread of Tm–Ge bond distances ranging from 2.91–3.06 Å. There are two inequivalent Fe sites. In the first Fe site, Fe is bonded in a 12-coordinate geometry to three Tm, five Fe, and two equivalent Ge atoms. There are four shorter (2.46 Å) and one longer (2.60 Å) Fe–Fe bond lengths. Both Fe–Ge bond lengths are 2.62 Å. In the second Fe site, Fe is bonded in a 12-coordinate geometry to five Tm, three Fe, and four Ge atoms. There are one shorter (2.60 Å) and one longer (2.76 Å) Fe–Fe bond lengths. There are a spread of Fe–Ge bond distances ranging from 2.46–2.55 Å. There are four inequivalent Ge sites. In the first Ge site, Ge is bonded in a 10-coordinate geometry to eight Tm and two equivalent Ge atoms. There are one shorter (2.66 Å) and one longer (2.70 Å) Ge–Ge bond lengths. In the second Ge site, Ge is bonded in a 10-coordinate geometry to four Tm and six Fe atoms. In the third Ge site, Ge is bonded in a 9-coordinate geometry to five Tm and four equivalent Fe atoms. In the fourth Ge site, Ge is bonded in a 9-coordinate geometry to five Tm and four equivalent Fe atoms.

36 MATERIALS SCIENCE↗

Stability Frontiers in the AM 6 X 6 Kagome Metals: The Ln Nb 6 Sn 6 ( Ln :Ce–Lu,Y) Family and Density-Wave Transition in LuNb 6 Sn 6

The kagome motif is a versatile platform for condensed matter physics, hosting rich interactions between magnetic, electronic, and structural degrees of freedom. In recent years, the discovery of a charge density wave (CDW) in the AV 3 Sb 5 superconductors and structurally-derived bond density waves (BDW) in FeGe and ScV 6 Sn 6 have stoked the search for new kagome platforms broadly exhibiting density wave (DW) transitions. Here, in this work, we evaluate the known AM 6 X 6 chemistries and construct a stability diagram that summarizes the structural relationships among the >125 member family. Subsequently, we introduce our discovery of the broader LnNb 6 Sn 6 (Ln:Ce–Nd,Sm,Gd–Tm,Lu,Y) family of kagome metals and an analogous DW transition in LuNb 6 Sn 6 . Our X-ray scattering measurements clearly indicate a (1/3, 1/3, 1/3) ordering wave vector (√$\bar{3}$ x √$\bar{3}$ x $3$ superlattice) and diffuse scattering on half-integer L-planes. Our analysis of the structural data supports the “rattling mode” DW model proposed for ScV 6 Sn 6 and paints a detailed picture of the steric interactions between the rare-earth filler element and the host Nb–Sn kagome scaffolding. We also provide a broad survey of the magnetic properties within the HfFe 6 Ge 6 -type LnNb 6 Sn 6 members, revealing a number of complex antiferromagnetic and metamagnetic transitions throughout the family. This work integrates our new LnNb 6 Sn 6 series of compounds into the broader AM 6 X 6 family, providing new material platforms and forging a new route forward at the frontier of kagome metal research.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗