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DOE OSTI2020

Materials Data on Ho(BC)2 by Materials Project

HoB2C2 crystallizes in the tetragonal P4/mbm space group. The structure is three-dimensional. Ho is bonded in a 8-coordinate geometry to eight equivalent B and eight equivalent C atoms. All Ho–B bond lengths are 2.73 Å. All Ho–C bond lengths are 2.67 Å. B is bonded in a distorted trigonal planar geometry to four equivalent Ho and three equivalent C atoms. There is one shorter (1.52 Å) and two longer (1.60 Å) B–C bond length. C is bonded in a 3-coordinate geometry to four equivalent Ho and three equivalent B atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mg4Al2H12CO18 by Materials Project

(Mg2Al(HO)6)4(CO3)2(O2)3 crystallizes in the trigonal P31m space group. The structure is two-dimensional and consists of one carbonic acid molecule; three water molecules; and two Mg2Al(HO)6 sheets oriented in the (0, 0, 1) direction. In each Mg2Al(HO)6 sheet, Mg is bonded to six O atoms to form MgO6 octahedra that share edges with three equivalent MgO6 octahedra and edges with three equivalent AlO6 octahedra. There are three shorter (2.09 Å) and three longer (2.10 Å) Mg–O bond lengths. Al is bonded to six O atoms to form AlO6 octahedra that share edges with six equivalent MgO6 octahedra. All Al–O bond lengths are 1.93 Å. There are two inequivalent H sites. In the first H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. In the second H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. There are two inequivalent O sites. In the first O site, O is bonded in a 1-coordinate geometry to two equivalent Mg, one Al, and one H atom. In the second O site, O is bonded in a 1-coordinate geometry to two equivalent Mg, one Al, and one H atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ho5(SiB4)2 by Materials Project

Ho5Si2B8 crystallizes in the tetragonal P4/mbm 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 nine B and three equivalent Si atoms. There are a spread of Ho–B bond distances ranging from 2.62–2.95 Å. There are one shorter (3.04 Å) and two longer (3.11 Å) Ho–Si bond lengths. In the second Ho site, Ho is bonded to two equivalent B and four equivalent Si atoms to form corner-sharing HoSi4B2 octahedra. The corner-sharing octahedral tilt angles are 57°. Both Ho–B bond lengths are 2.71 Å. All Ho–Si bond lengths are 2.89 Å. There are three inequivalent B sites. In the first B site, B is bonded in a 9-coordinate geometry to four equivalent Ho and five B atoms. There are a spread of B–B bond distances ranging from 1.75–1.83 Å. In the second B site, B is bonded in a 3-coordinate geometry to six equivalent Ho and three B atoms. The B–B bond length is 1.83 Å. In the third B site, B is bonded in a 9-coordinate geometry to five Ho and four equivalent B atoms. Si is bonded in a 9-coordinate geometry to eight Ho and one Si atom. The Si–Si bond length is 2.35 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2023

Pressure-induced charge-transfer and structural transition in hexagonal multiferroic HoMnO 3

The structural properties of the hexagonal multiferroic ℎ-HoMnO 3 under high pressure have been explored using synchrotron x-ray diffraction and x-ray absorption spectroscopy in diamond anvil cells. The structure was found to undergo a pressure-induced phase transition at ~24 GPa to a rhombohedrally distorted superstructure, which is isostructural to the oxygen-loaded h-RMnO 3+δ (R = Y,Dy,Ho,Er; δ ≈ 0.28) phases found in the same systems. The driving force behind the phase transition is the highly compressible ab plane which facilitates a gradual charge disproportionation of Mn(III) with pressure. We speculate this stabilizes the spin-liquid phase due to ferromagnetic coupling between neighboring Mn(II)/Mn(IV) and Mn(III). In addition, we demonstrate that the structural behavior is highly susceptible to nonhydrostatic conditions and the choice of pressure medium should be carefully made.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗
DOE OSTI2021

Effective point-charge analysis of crystal fields: Application to rare-earth pyrochlores and tripod kagome magnets 𝑅 ⁢3⁢ Mg⁢ 2 ⁢Sb⁢ 3⁢ O⁢ 14

An indispensable step to understand collective magnetic phenomena in rare-earth compounds is the determination of spatially anisotropic single-ion properties resulting from spin-orbit coupling and crystal field (CF). The CF Hamiltonian has a discrete energy spectrum—accessible to spectroscopic probes such as neutron scattering—controlled by a number of independent parameters reflecting the point symmetry of the magnetic sites. Determining these parameters in low-symmetry systems is often challenging. Here, we describe a general method to analyze CF excitation spectra using adjustable effective point-charges. We benchmark our method to existing neutron-scattering measurements on pyrochlore rare-earth oxides and obtain a universal point-charge model that describes a large family of related materials. We adapt this model to the newly discovered tripod kagome magnets (𝑅 3 ⁢Mg 2 ⁢Sb 3 ⁢O 14 , 𝑅 = Tb, Ho, Er, Yb) for which we report broadband inelastic neutron-scattering spectra. Analysis of these data using adjustable point-charges yields the CF wave functions for each compound. From this, we calculate thermomagnetic properties that accurately reflect our measurements on powder samples and predict the effective gyromagnetic tensor for pseudospin degrees of freedom—a crucial step to understand the exotic collective properties of these kagome magnets at low temperature. We present further applications of our method to other tripod kagome materials and triangular rare-earth compounds 𝑅⁢MgGaO 4 (𝑅 =Yb, Tm). Overall, this study establishes a widely applicable methodology to predict CF and single-ion properties of rare-earth compounds based on interpretable and adjustable models of effective point charges.

Crystal-field theory↗
DOE OSTI2020

Materials Data on Ho4NiB14 by Materials Project

Ho4NiB14 crystallizes in the tetragonal P4/mnc space group. The structure is three-dimensional. Ho is bonded in a 10-coordinate geometry to one Ni and sixteen B atoms. The Ho–Ni bond length is 2.77 Å. There are a spread of Ho–B bond distances ranging from 2.65–3.00 Å. Ni is bonded in a cuboctahedral geometry to four equivalent Ho and eight equivalent B atoms. All Ni–B bond lengths are 2.16 Å. There are three inequivalent B sites. In the first B site, B is bonded in a 9-coordinate geometry to four equivalent Ho and five B atoms. There is one shorter (1.66 Å) and four longer (1.74 Å) B–B bond length. In the second B site, B is bonded in a 9-coordinate geometry to four equivalent Ho, one Ni, and four B atoms. There is one shorter (1.74 Å) and two longer (1.83 Å) B–B bond length. In the third B site, B is bonded in a 3-coordinate geometry to six equivalent Ho and three B atoms. The B–B bond length is 1.82 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ba3HoUFeO9 by Materials Project

Ba3UHoFeO9 crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. there are six inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to nine O2- atoms. There are three shorter (2.73 Å) and six longer (3.01 Å) Ba–O bond lengths. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, faces with three equivalent UO6 octahedra, and faces with four FeO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.89–3.16 Å. In the third Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.64 Å) and three longer (2.65 Å) Ba–O bond lengths. In the fourth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to nine O2- atoms. There are three shorter (2.76 Å) and six longer (3.00 Å) Ba–O bond lengths. In the fifth Ba2+ site, Ba2+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are three shorter (2.65 Å) and three longer (2.68 Å) Ba–O bond lengths. In the sixth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to nine O2- atoms. There are three shorter (2.76 Å) and six longer (3.01 Å) Ba–O bond lengths. There are two inequivalent U6+ sites. In the first U6+ site, U6+ is bonded in an octahedral geometry to six O2- atoms. There are three shorter (2.08 Å) and three longer (2.09 Å) U–O bond lengths. In the second U6+ site, U6+ is bonded to six O2- atoms to form UO6 octahedra that share corners with three equivalent FeO6 octahedra and faces with three equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 1°. There are three shorter (2.04 Å) and three longer (2.15 Å) U–O bond lengths. There are two inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded in a 3-coordinate geometry to three equivalent O2- atoms. All Ho–O bond lengths are 2.17 Å. In the second Ho3+ site, Ho3+ is bonded in a 3-coordinate geometry to three equivalent O2- atoms. All Ho–O bond lengths are 2.18 Å. There are two inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent FeO6 octahedra and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 6°. There are three shorter (1.97 Å) and three longer (2.24 Å) Fe–O bond lengths. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent UO6 octahedra, corners with three equivalent FeO6 octahedra, and faces with three equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are three shorter (2.03 Å) and three longer (2.07 Å) Fe–O bond lengths. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to four Ba2+ and one U6+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+ and one U6+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ba2+, one Ho3+, and two Fe3+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to three Ba2+, one U6+, and one Fe3+ atom. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to four Ba2+ and one U6+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+, one Ho3+, and one Fe3+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on HoN3O10 by Materials Project

HoN3O10 crystallizes in the triclinic P-1 space group. The structure is one-dimensional and consists of one HoN3O10 ribbon oriented in the (0, 1, 0) direction. Ho is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Ho–O bond distances ranging from 2.33–2.47 Å. There are three inequivalent N sites. In the first N site, N is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.22 Å) and two longer (1.29 Å) N–O bond length. In the second N site, N is bonded in a trigonal planar geometry to three O atoms. There are a spread of N–O bond distances ranging from 1.21–1.33 Å. In the third N site, N is bonded in a trigonal planar geometry to three O atoms. There are a spread of N–O bond distances ranging from 1.21–1.33 Å. There are ten inequivalent O sites. In the first O site, O is bonded in a single-bond geometry to one Ho atom. In the second O site, O is bonded in an L-shaped geometry to one Ho and one N atom. In the third O site, O is bonded in an L-shaped geometry to one Ho and one N atom. In the fourth O site, O is bonded in a single-bond geometry to one N atom. In the fifth O site, O is bonded in a 3-coordinate geometry to two equivalent Ho and one N atom. In the sixth O site, O is bonded in a water-like geometry to one Ho and one N atom. In the seventh O site, O is bonded in a single-bond geometry to one N atom. In the eighth O site, O is bonded in a 1-coordinate geometry to two equivalent Ho and one N atom. In the ninth O site, O is bonded in a distorted water-like geometry to one Ho and one N atom. In the tenth O site, O is bonded in a single-bond geometry to one N atom.

36 MATERIALS SCIENCE↗
DOE OSTI2022

Materials design, synthesis, and transport properties of disordered rare-earth Zintl bismuthides with the anti -Th 3 P 4 structure type

The synthesis, structural elucidation, and transport properties of the extended series Ca 4–x RE x Bi 3 (RE = Y, La–Nd, Sm, Gd–Tm, and Lu; x ≈ 1) and Ca 4–x RE x Bi 3–δ Sb δ (RE = La, Ho, Er, and Lu; x ≈ 1, δ ≈ 1.5) are presented. Structural elucidation is based on single-crystal X-ray diffraction data and confirms the chemical drive of Ca4Bi3 with the cubic anti-Th 3 P 4 structure type (space group I4 ¯3d, no. 220, Z = 4) into a Zintl phase by the introduction of trivalent rare-earth atoms. The structure features complex bonding, heavy elements, and electron count akin to that of valence-precise semiconductors, making it an ideal target for thermoelectrics development. Introducing crystallographic site disorders at the cation site for the Ca 4–x RE x Bi 3 phase and both the cation and anion sites for the Ca 4–x RE x Bi 3–δ Sb δ phase brings about additional desirable characteristics for thermoelectric materials in the context of tuning knobs for lowering thermal conductivity. Electronic structure calculations of idealized Ca 3 YBi 3 and Ca 3 LaBi 3 compounds indicate the opening of indirect bandgaps at the Fermi level with magnitudes Eg = 0.38 eV and 0.57 eV, respectively. The electrical resistivity ρ(T) of some of the investigated phases measured on single crystals evolve in a metallic manner with magnitudes of order 1.4 mΩ cm near 500 K, thus supporting the notion of a degenerate semiconducting state, with the temperature dependence of the Seebeck coefficient α(T) suggesting the p-type behavior. Furthermore, the low electrical resistivity and the realization of a degenerate semiconducting state in the title phases present a window of opportunity for optimizing their carrier concentrations for enhanced thermoelectric performance.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ho2(Ga3Ru)3 by Materials Project

Ho2(RuGa3)3 crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. Ho is bonded in a 11-coordinate geometry to eleven Ga atoms. There are a spread of Ho–Ga bond distances ranging from 3.04–3.17 Å. There are two inequivalent Ru sites. In the first Ru site, Ru is bonded in a 8-coordinate geometry to eight Ga atoms. There are a spread of Ru–Ga bond distances ranging from 2.56–2.63 Å. In the second Ru site, Ru is bonded in a 8-coordinate geometry to eight Ga atoms. There are four shorter (2.60 Å) and four longer (2.61 Å) Ru–Ga bond lengths. There are four inequivalent Ga sites. In the first Ga site, Ga is bonded in a 10-coordinate geometry to two equivalent Ho, two equivalent Ru, and six Ga atoms. All Ga–Ga bond lengths are 2.75 Å. In the second Ga site, Ga is bonded in a 3-coordinate geometry to three equivalent Ho, three Ru, and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.77–2.96 Å. In the third Ga site, Ga is bonded in a 3-coordinate geometry to two equivalent Ho, three Ru, and five Ga atoms. There are one shorter (2.72 Å) and two longer (2.84 Å) Ga–Ga bond lengths. In the fourth Ga site, Ga is bonded in a 10-coordinate geometry to two equivalent Ho, two equivalent Ru, and six Ga atoms. The Ga–Ga bond length is 2.73 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2021

On the Rate Constant for NH 2 +HO 2 and Third-Body Collision Efficiencies for NH 2 +H(+M) and NH 2 +NH 2 (+M)

In low-temperature flash photolysis of NH 3 /O 2 /N 2 mixtures, the NH 2 consumption rate and the product distribution is controlled by the reactions NH 2 + HO 2 → products (R1), NH 2 + H (+M) → NH 3 (+M) (R2), and NH 2 + NH 2 (+M) → N 2 H 4 (+M) (R3). In the present work, published flash photolysis experiments by, among others, Cheskis and co-workers, are re-interpreted using recent direct measurements of NH 2 + H (+N 2 ) and NH 2 + NH 2 (+N 2 ) from Altinay and Macdonald. To facilitate analysis of the FP data, relative third-body collision efficiencies compared to N 2 for R2 and R3 were calculated for O 2 and NH 3 as well as for other selected molecules. We report results were in good agreement with the limited experimental data. Based on reported NH 2 decay rates in flash photolysis of NH 3 /O 2 /N 2 , a rate constant for NH 2 + HO 2 → NH 3 + O 2 (R1a) of $k_{1\text{a}}$ = 1.5(±0.5) × 10 14 cm 3 mol –1 s –1 at 295 K was derived. This value is higher than earlier determinations based on the FP results but in good agreement with recent theoretical work. Kinetic modeling of reported N 2 O yields indicates that NH 2 + HO 2 → H 2 NO + O (R1c) is competing with R1a, but perturbation experiments with addition of CH4 indicate that it is not a dominating channel. Measured HNO profiles indicate that this component is formed directly by NH 2 + HO 2 → HNO + H 2 O (R1b), but theoretical work indicates that R1b is only a minor channel. Based on this analysis, we estimate $k_{1\text{c}}$ = 2.5 × 10 13 cm 3 mol –1 s –1 and $k_{1\text{b}}$ = 2.5 × 10 12 cm 3 mol –1 s –1 at 295 K, with significant uncertainty margins.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗
DOE OSTI2021

Structure of 3'-PO 4 /5'-OH RNA ligase RtcB in complex with a 5'-OH oligonucleotide

RtcB enzymes comprise a widely distributed family of manganese- and GTP-dependent RNA repair enzymes that join 2',3'-cyclic phosphate ends to 5'-OH ends via RtcB-(histidinyl-N)–GMP, RNA 3'-phosphate, and RNA 3 'pp 5 'G intermediates. RtcB can ligate either 5'-OH RNA or 5'-OH DNA strands in vitro. The nucleic acid contacts of RtcB are uncharted. In this work, we report a 2.7 Å crystal structure of Pyrococcus horikoshii RtcB in complex with a 6-mer 5'-OH DNA oligonucleotide HO A 1 pT 2 pG 3 pT 4 pC 5 pC 6 , which reveals enzymic contacts of Asn202 to the terminal 5'-OH nucleophile; Arg238 to the A1pT2 and T2pG3 phosphates; Arg190 and Gln194 to the T 2 pG 3 phosphate; and an Arg190 π-cation interaction with the G 3 nucleobase. The structural insights affirm functional studies of E. coli RtcB that implicated the conserved counterpart of Arg238 in engagement of the 5'-OH strand for ligation. The essential active site Cys98 that coordinates two manganese ions is oxidized to cysteine sulfonic acid in our structure, raising the prospect that RtcB activity might be sensitive to modulation during oxidative stress.

59 BASIC BIOLOGICAL SCIENCES↗
DOE OSTI2020

Materials Data on HoMoO5 by Materials Project

HoMoO5 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. Ho is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ho–O bond distances ranging from 2.27–2.46 Å. Mo is bonded in a distorted tetrahedral geometry to five O atoms. There are a spread of Mo–O bond distances ranging from 1.77–2.44 Å. There are five inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to two equivalent Ho and one Mo atom. In the second O site, O is bonded in a distorted trigonal planar geometry to two equivalent Ho and one Mo atom. In the third O site, O is bonded in a distorted trigonal planar geometry to two equivalent Ho and one Mo atom. In the fourth O site, O is bonded in a linear geometry to one Ho and one Mo atom. In the fifth O site, O is bonded in a bent 150 degrees geometry to one Ho and one Mo atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Cooperative Ru(4 d )–Ho(4 f ) magnetic ordering and phase coexistence in the 6 H perovskite multiferroic Ba 3 HoRu 2 O 9

We report cooperative magnetic orderings in a 6H-perovskite multiferroic system, Ba 3 HoRu 2 O 9 , via comprehensive neutron powder diffraction measurements. This system undergoes long-range antiferromagnetic ordering at T N1 ~ 50 K with a propagation wave vector of K 1 = (0.5 0 0), a transition temperature much higher than the previously reported one at ~10 K (T N2 ). Both Ru and Ho-moments order simultaneously below T N1 , followed by spin-reorientations at lower temperatures, demonstrating strong Ru(4d)-Ho(4f) magnetic correlation. Below T N1 another magnetic phase with a propagation wave vector K 2 = (0.25 0.25 0) emerges and coexists with the one associated with K 1 , which is rarely observed and suggests complex magnetism due to phase competition in the magnetic ground state. Here, we argue that the exchange-striction arising from the up-up-down-down spin structure associated with K 2 below T N2 may be responsible for the small ferroelectric polarization reported previously in this compound.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗
DOE OSTI2020

Materials Data on Ho2(Ga3Rh)3 by Materials Project

Ho2(RhGa3)3 crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. Ho is bonded in a 11-coordinate geometry to eleven Ga atoms. There are a spread of Ho–Ga bond distances ranging from 3.02–3.14 Å. There are two inequivalent Rh sites. In the first Rh site, Rh is bonded in a 8-coordinate geometry to eight Ga atoms. There are a spread of Rh–Ga bond distances ranging from 2.58–2.65 Å. In the second Rh site, Rh is bonded in a 8-coordinate geometry to eight Ga atoms. There are a spread of Rh–Ga bond distances ranging from 2.56–2.64 Å. There are four inequivalent Ga sites. In the first Ga site, Ga is bonded in a 2-coordinate geometry to two equivalent Ho, two equivalent Rh, and six Ga atoms. There are four shorter (2.75 Å) and two longer (2.77 Å) Ga–Ga bond lengths. In the second Ga site, Ga is bonded in a 3-coordinate geometry to three equivalent Ho, three Rh, and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.77–2.94 Å. In the third Ga site, Ga is bonded in a 3-coordinate geometry to two equivalent Ho, three Rh, and five Ga atoms. There are one shorter (2.80 Å) and two longer (2.82 Å) Ga–Ga bond lengths. In the fourth Ga site, Ga is bonded in a 10-coordinate geometry to two equivalent Ho, two equivalent Rh, and six Ga atoms. The Ga–Ga bond length is 2.74 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ho2(Ga3Ir)3 by Materials Project

Ho2(IrGa3)3 crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. Ho is bonded in a 11-coordinate geometry to eleven Ga atoms. There are a spread of Ho–Ga bond distances ranging from 3.01–3.16 Å. There are two inequivalent Ir sites. In the first Ir site, Ir is bonded in a 8-coordinate geometry to eight Ga atoms. There are a spread of Ir–Ga bond distances ranging from 2.58–2.66 Å. In the second Ir site, Ir is bonded in a 8-coordinate geometry to eight Ga atoms. There are a spread of Ir–Ga bond distances ranging from 2.56–2.65 Å. There are four inequivalent Ga sites. In the first Ga site, Ga is bonded in a 10-coordinate geometry to two equivalent Ho, two equivalent Ir, and six Ga atoms. There are four shorter (2.75 Å) and two longer (2.76 Å) Ga–Ga bond lengths. In the second Ga site, Ga is bonded in a 3-coordinate geometry to three equivalent Ho, three Ir, and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.78–2.95 Å. In the third Ga site, Ga is bonded in a 3-coordinate geometry to two equivalent Ho, three Ir, and five Ga atoms. There are one shorter (2.81 Å) and two longer (2.82 Å) Ga–Ga bond lengths. In the fourth Ga site, Ga is bonded in a 10-coordinate geometry to two equivalent Ho, two equivalent Ir, and six Ga atoms. The Ga–Ga bond length is 2.74 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ho7Co6Sn23 by Materials Project

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.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ho2(Fe3Si)3 by Materials Project

Ho2(Fe3Si)3 crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are two inequivalent Ho sites. In the first Ho site, Ho is bonded in a 6-coordinate geometry to fourteen Fe and four Si atoms. There are a spread of Ho–Fe bond distances ranging from 2.86–3.24 Å. There are two shorter (2.81 Å) and two longer (2.95 Å) Ho–Si bond lengths. In the second Ho site, Ho is bonded in a 6-coordinate geometry to thirteen Fe and five Si atoms. There are a spread of Ho–Fe bond distances ranging from 2.80–3.23 Å. There are one shorter (2.87 Å) and four longer (2.88 Å) Ho–Si bond lengths. There are five inequivalent Fe sites. In the first Fe site, Fe is bonded in a 12-coordinate geometry to three Ho, six Fe, and three Si atoms. There are a spread of Fe–Fe bond distances ranging from 2.46–2.61 Å. All Fe–Si bond lengths are 2.40 Å. In the second Fe site, Fe is bonded in a 12-coordinate geometry to three Ho, seven Fe, and two equivalent Si atoms. There are a spread of Fe–Fe bond distances ranging from 2.39–2.65 Å. Both Fe–Si bond lengths are 2.38 Å. In the third Fe site, Fe is bonded in a 12-coordinate geometry to three Ho, five Fe, and three Si atoms. The Fe–Fe bond length is 2.48 Å. There are one shorter (2.35 Å) and two longer (2.40 Å) Fe–Si bond lengths. In the fourth Fe site, Fe is bonded in a 12-coordinate geometry to three Ho, eight Fe, and one Si atom. There are two shorter (2.39 Å) and one longer (2.54 Å) Fe–Fe bond lengths. The Fe–Si bond length is 2.33 Å. In the fifth Fe site, Fe is bonded in a 9-coordinate geometry to three Ho and six Fe atoms. There are two inequivalent Si sites. In the first Si site, Si is bonded in a 9-coordinate geometry to three Ho and six Fe atoms. In the second Si site, Si is bonded in a 9-coordinate geometry to three Ho and six Fe atoms.

36 MATERIALS SCIENCE↗