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Using Tau Leptons as a Tool for Studying the Higgs in the SM and Beyond

In the Standard Model, the mass generation of fermions is achieved through the Higgs Yukawa coupling. There exists several more fundamental theories, such as super- symmetry, that could imply deviations of the couplings of the observed Higgs boson to down-type fermions, such as the τ lepton. Therefore, it is necessary to demonstrate the direct coupling of the Higgs boson to the fundamental fermions and to demonstrate the proportionality of the Higgs boson coupling strength to their mass. Furthermore, any deviations from Standard Model expectation could hint at beyond the Standard Model physics. We summarize a measurement of Higgs to Tau leptons at CMS using a simplified template cross section scheme as well as a differential measurement as a function of Higgs transverse momentum, leading jet transverse momentum and the number of jets present in the event. We also summarize recent calorimeter trigger related activities which will help to improve Higgs to fermion measurements in the future runs at the LHC.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

149 Sm Results from DICER Plus DANCE [Slides]

DICER and DANCE can provide detailed and accurate resonance parameters and on smaller samples than any other facility from sub-thermal energies through the RRR. Many additional experiments of interest to NCSP could easily be performed at DICER and DANCE. DANCE also can provide accurate (n,γ) cross sections in the URR.

46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND ↗

Muon g-2 Experiment and SM

The anomalous magnetic moment of muon has been used as an indication of physics beyond the Standard Model. Fermilab Muon g-2 experiment has published the most precise measurement of the anomalous magnetic moment of muon with an uncertainty of 460 part-per-billion which showed 4.2 sigma discrepancy between the experiment average and the 2020 g-2 Theory Initiative Standard Model prediction. This talk will show the recent results from the Fermilab Muon g-2 experiment while also briefly cover the status of the Standard Model prediction on calculating the anomalous magnetic moment of muon.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

147 Sm Neutron Capture Cross Section and Resonances

Measurement of ( n,γ ) cross sections measurements are of high importance to many fields such as radiochemical diagnostics, technical nuclear forensics, nuclear physics and astrophysics, nuclear criticality safety, advanced reactors, and isotope production. For these applications an accurate characterization of the resonances in the resolved resonance region is important. In the energy range of the resonance region neutron capture, and scattering are possible so the total resonance width Γ is the sum of the gamma and neutron widths Γ = Γ γ +Γ n .

73 NUCLEAR PHYSICS AND RADIATION PHYSICS↗

Materials Data on Sm31(CuSe16)3 by Materials Project

Sm31(CuSe16)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-one inequivalent Sm sites. In the first Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.91–3.18 Å. In the second Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.91–3.35 Å. In the third Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.90–3.31 Å. In the fourth Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.92–3.45 Å. In the fifth Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.91–3.35 Å. In the sixth Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.90–3.29 Å. In the seventh Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.92–3.21 Å. In the eighth Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.91–3.43 Å. In the ninth Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.90–3.41 Å. In the tenth Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.91–3.34 Å. In the eleventh Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.93–3.40 Å. In the twelfth Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.92–3.21 Å. In the thirteenth Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.91–3.22 Å. In the fourteenth Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.90–3.42 Å. In the fifteenth Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.90–3.30 Å. In the sixteenth Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.90–3.21 Å. In the seventeenth Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.95–3.30 Å. In the eighteenth Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.91–3.18 Å. In the nineteenth Sm site, Sm is bonded to eight Se atoms to form a mixture of distorted face, edge, and corner-sharing SmSe8 hexagonal bipyramids. There are a spread of Sm–Se bond distances ranging from 2.92–3.23 Å. In the twentieth Sm site, Sm is bonded to eight Se atoms to form a mixture of distorted face, edge, and corner-sharing SmSe8 hexagonal bipyramids. There are a spread of Sm–Se bond distances ranging from 2.95–3.24 Å. In the twenty-first Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.93–3.21 Å. In the twenty-second Sm site, Sm is bonded to eight Se atoms to form a mixture of distorted face, edge, and corner-sharing SmSe8 hexagonal bipyramids. There are a spread of Sm–Se bond distances ranging from 2.95–3.18 Å. In the twenty-third Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.90–3.35 Å. In the twenty-fourth Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.91–3.29 Å. In the twenty-fifth Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.90–3.37 Å. In the twenty-sixth Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.94–3.36 Å. In the twenty-seventh Sm site, Sm is bonded to eight Se atoms to form a mixture of distorted face, edge, and corner-sharing SmSe8 hexagonal bipyramids. There are a spread of Sm–Se bond distances ranging from 2.95–3.28 Å. In the twenty-eighth Sm site, Sm is bonded to eight Se atoms to form a mixture of distorted face, edge, and corner-sharing SmSe8 hexagonal bipyramids. There are a spread of Sm–Se bond distances ranging from 2.91–3.22 Å. In the twenty-ninth Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.92–3.20 Å. In the thirtieth Sm site, Sm is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Sm–Se bond distances ranging from 2.92–3.42 Å. In the thirty-first Sm site, Sm is bonded to eight Se atoms to form a mixture of distorted face and corner-sharing SmSe8 hexagonal bipyramids. There are a spread of Sm–Se bond distances ranging from 2.95–3.24 Å. There are three inequivalent Cu sites. In the first Cu site, Cu is bonded in a distorted rectangular see-saw-like geometry to four Se atoms. There are a spread of Cu–Se bond distances ranging from 2.63–2.93 Å. In the second Cu site, Cu is bonded in a distorted square co-planar geometry to four Se atoms. There are a spread of Cu–Se bond distances ranging from 2.62–2.94 Å. In the third Cu site, Cu is bonded in a distorted rectangular see-saw-like geometry to four Se atoms. There are a spread of Cu–Se bond distances ranging from 2.67–2.85 Å. There are forty-eight inequivalent Se sites. In the first Se site, Se is bonded to five Sm and one Cu atom to form distorted SeSm5Cu octahedra that share corners with four SeSm5Cu octahedra, corners with five SeSm5 square pyramids, edges with four SeSm5Cu octahedra, edges with two SeSm5 square pyramids, a faceface with one SeSm5Cu octahedra, and faces with two SeSm5 square pyramids. The corner-sharing octahedra tilt angles range from 46–48°. In the second Se site, Se is bonded to five Sm and one Cu atom to form distorted SeSm5Cu octahedra that share corners with seven SeSm5Cu octahedra, corners with six SeSm5 square pyramids, edges with four SeSm5Cu octahedra, edges with three SeSm5 square pyramids, a faceface with one SeSm5Cu octahedra, and faces with two SeSm5 square pyramids. The corner-sharing octahedra tilt angles range from 17–48°. In the third Se site, Se is bonded to five Sm and one Cu atom to form distorted SeSm5Cu octahedra that share corners with six SeSm5Cu octahedra, corners with five SeSm5 square pyramids, edges with four SeSm5Cu octahedra, edges with two SeSm5 square pyramids, a faceface with one SeSm5Cu octahedra, and faces with two SeSm5 square pyramids. The corner-sharing octahedra tilt angles range from 17–48°. In the fourth Se site, Se is bonded in a 5-coordinate geometry to five Sm atoms. In the fifth Se site, Se is bonded to five Sm atoms to form distorted SeSm5 square pyramids that share corners with four SeSm5Cu octahedra, corners with six SeSm5 square pyramids, edges with two SeSm5Cu octahedra, edges with three SeSm5 square pyramids, and faces with two SeSm5Cu octahedra. The corner-sharing octahedra tilt angles range from 42–86°. In the sixth Se site, Se is bonded to five Sm atoms to form distorted SeSm5 square pyramids that share corners with seven SeSm5Cu octahedra, corners with five SeSm5 square pyramids, edges with three SeSm5Cu octahedra, edges with three SeSm5 square pyramids, and a faceface with one SeSm5Cu octahedra. The corner-sharing octahedra tilt angles range from 22–87°. In the seventh Se site, Se is bonded to five Sm and one Cu atom to form distorted SeSm5Cu octahedra that share corners with eight SeSm5Cu octahedra, corners with seven SeSm5 square pyramids, edges with five SeSm5Cu octahedra, edges with two SeSm5 square pyramids, a faceface with one SeSm6 octahedra, and faces with two SeSm5 square pyramids. The corner-sharing octahedra tilt angles range from 17–48°. In the eighth Se site, Se is bonded to five Sm and one Cu atom to form distorted SeSm5Cu octahedra that share corners with seven SeSm5Cu octahedra, corners with six SeSm5 square pyramids, edges with three SeSm5Cu octahedra, edges with three SeSm5 square pyramids, a faceface with one SeSm5Cu octahedra, and a faceface with one SeSm5 square pyramid. The corner-sharing octahedra tilt angles range from 17–48°. In the ninth Se site, Se is bonded to five Sm and one Cu atom to form distorted SeSm5Cu octahedra that share corners with seven SeSm5Cu octahedra, corners with seven SeSm5 square pyramids, edges with four SeSm5Cu octahedra, edges with three SeSm5 square pyramids, a faceface with one SeSm5Cu octahedra, and faces with two SeSm5 square pyramids. The corner-sharing octahedra tilt angles range from 16–48°. In the tenth Se site, Se is bonded to five Sm atoms to form distorted SeSm5 square pyramids that share corners with eight SeSm5Cu octahedra, corners with five SeSm5 square pyramids, edges with three SeSm5Cu octahedra, edges with five SeSm5 square pyramids, and faces with two SeSm5Cu octahedra. The corner-sharing octahedra tilt angles range from 21–87°. In the eleventh Se site, Se is bonded to five Sm atoms to form distorted SeSm5 square pyramids that share corners with eight SeSm5Cu octahedra, corners with five SeSm5 square pyramids, edges with three SeSm5Cu octahedra, edges with three SeSm5 square pyramids, and faces with two SeSm5Cu octahedra. The corner-sharing octahedra tilt angles range from 20–89°. In the twelfth Se site, Se is bonded to five Sm atoms to form distorted SeSm5 square pyramids that share corners with eight SeSm5Cu octahedra, corners with four SeSm5 square pyramids, edges with three SeSm5Cu octahedra, edges with four SeSm5 square pyramids, and faces with two SeSm5Cu octahedra. The corner-sharing octahedra tilt angles range from 22–87°. In the thirteenth Se site, Se is bonded to five Sm atoms to form SeSm5 square pyramids that share corners with eight SeSm6 octahedra, corners with five SeSm5 square pyramids, edges with two SeSm6 octahedra, edges with six SeSm5 square pyramids, and faces with two SeSm5 square pyramids. The corner-sharing octahedra tilt angles range from 19–52°. In the fourteenth Se site, Se is bonded to five Sm and one Cu atom to form distorted SeSm5Cu octahedra that share corners with seven SeSm5Cu octahedra, corners with eight SeSm5 square pyramids, edges with four SeSm5Cu octahedra, edges with two SeSm5 square pyramids, a faceface with one SeSm5Cu octahedra, and a faceface with one SeSm5 square pyramid. The corner-sharing octahedra tilt angles range from 17–48°. In the fifteenth Se site, Se is bonded to five Sm atoms to form distorted SeSm5 square pyramids that share corners with six SeSm5Cu octahedra, corners with two SeSm5 square pyramids, edges with three SeSm5Cu octahedra, edges with four SeSm5 square pyramids, and faces with two SeSm5Cu octahedra. The corner-sharing octahedra tilt angles range from 20–51°. In the sixteenth Se site, Se is bonded to five Sm and one Cu atom to form distorted SeSm5Cu octahedra that share corners with seven SeSm5Cu octahedra, corners with seven SeSm5 square pyramids, edges with four SeSm5Cu octahedra, edges with three SeSm5 square pyramids, a faceface with one SeSm5Cu octahedra, and faces with two SeSm5 square pyramids. The corner-sharing octahedra tilt angles range from 17–48°. In the seventeenth Se site, Se is bonded to six Sm atoms to form distorted SeSm6 octahedra that share corners with eight SeSm6 octahedra, corners with seven SeSm5 square pyramids, edges with three SeSm6 octahedra, edges with three SeSm5 square pyramids, faces with two SeSm6 octahedra, and faces with three

36 MATERIALS SCIENCE↗

Materials Data on Sm25Ni49P33 by Materials Project

Sm25Ni49P33 crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are fifteen inequivalent Sm sites. In the first Sm site, Sm is bonded in a 12-coordinate geometry to twelve Ni and four P atoms. There are a spread of Sm–Ni bond distances ranging from 2.91–3.15 Å. There are two shorter (3.05 Å) and two longer (3.06 Å) Sm–P bond lengths. In the second Sm site, Sm is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Sm–Ni bond distances ranging from 2.98–3.08 Å. There are a spread of Sm–P bond distances ranging from 2.95–3.00 Å. In the third Sm site, Sm is bonded in a 8-coordinate geometry to ten Ni and six P atoms. There are a spread of Sm–Ni bond distances ranging from 2.95–3.10 Å. There are two shorter (2.95 Å) and four longer (2.99 Å) Sm–P bond lengths. In the fourth Sm site, Sm is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Sm–Ni bond distances ranging from 2.99–3.08 Å. There are a spread of Sm–P bond distances ranging from 2.96–3.01 Å. In the fifth Sm site, Sm is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Sm–Ni bond distances ranging from 2.99–3.08 Å. There are a spread of Sm–P bond distances ranging from 2.96–3.01 Å. In the sixth Sm site, Sm is bonded to six Ni and six P atoms to form face-sharing SmNi6P6 cuboctahedra. All Sm–Ni bond lengths are 3.01 Å. All Sm–P bond lengths are 2.99 Å. In the seventh Sm site, Sm is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Sm–Ni bond distances ranging from 2.98–3.08 Å. There are a spread of Sm–P bond distances ranging from 2.95–3.00 Å. In the eighth Sm site, Sm is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Sm–Ni bond distances ranging from 2.99–3.08 Å. There are four shorter (2.98 Å) and two longer (3.00 Å) Sm–P bond lengths. In the ninth Sm site, Sm is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Sm–Ni bond distances ranging from 2.99–3.08 Å. There are a spread of Sm–P bond distances ranging from 2.96–3.01 Å. In the tenth Sm site, Sm is bonded in a 8-coordinate geometry to ten Ni and six P atoms. There are a spread of Sm–Ni bond distances ranging from 2.96–3.10 Å. There are two shorter (2.95 Å) and four longer (2.99 Å) Sm–P bond lengths. In the eleventh Sm site, Sm is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Sm–Ni bond distances ranging from 2.98–3.08 Å. There are a spread of Sm–P bond distances ranging from 2.95–3.00 Å. In the twelfth Sm site, Sm is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Sm–Ni bond distances ranging from 2.99–3.08 Å. There are four shorter (2.98 Å) and two longer (3.00 Å) Sm–P bond lengths. In the thirteenth Sm site, Sm is bonded in a 12-coordinate geometry to twelve Ni and four equivalent P atoms. There are a spread of Sm–Ni bond distances ranging from 2.91–3.15 Å. All Sm–P bond lengths are 3.05 Å. In the fourteenth Sm site, Sm is bonded to six Ni and six P atoms to form a mixture of edge and face-sharing SmNi6P6 cuboctahedra. There are two shorter (2.99 Å) and four longer (3.00 Å) Sm–Ni bond lengths. All Sm–P bond lengths are 2.99 Å. In the fifteenth Sm site, Sm is bonded to six Ni and six P atoms to form a mixture of edge and face-sharing SmNi6P6 cuboctahedra. There are two shorter (2.99 Å) and four longer (3.00 Å) Sm–Ni bond lengths. All Sm–P bond lengths are 2.99 Å. There are twenty-eight inequivalent Ni sites. In the first Ni site, Ni is bonded to four Sm and four P atoms to form a mixture of distorted edge and face-sharing NiSm4P4 tetrahedra. There are two shorter (2.31 Å) and two longer (2.33 Å) Ni–P bond lengths. In the second Ni site, Ni is bonded in a distorted single-bond geometry to two Sm, four Ni, and one P atom. All Ni–Ni bond lengths are 2.45 Å. The Ni–P bond length is 2.17 Å. In the third Ni site, Ni is bonded in a distorted trigonal planar geometry to six Sm and three P atoms. There are a spread of Ni–P bond distances ranging from 2.25–2.28 Å. In the fourth Ni site, Ni is bonded to four Sm and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiSm4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.34 Å. In the fifth Ni site, Ni is bonded in a 3-coordinate geometry to three Sm, one Ni, and three P atoms. The Ni–Ni bond length is 2.50 Å. There are one shorter (2.22 Å) and two longer (2.36 Å) Ni–P bond lengths. In the sixth Ni site, Ni is bonded to four Sm and four P atoms to form a mixture of distorted edge and face-sharing NiSm4P4 tetrahedra. There are two shorter (2.31 Å) and two longer (2.33 Å) Ni–P bond lengths. In the seventh Ni site, Ni is bonded to four Sm and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiSm4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.34 Å. In the eighth Ni site, Ni is bonded in a 3-coordinate geometry to three Sm, one Ni, and three P atoms. The Ni–Ni bond length is 2.50 Å. There are one shorter (2.22 Å) and two longer (2.36 Å) Ni–P bond lengths. In the ninth Ni site, Ni is bonded to four Sm and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiSm4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.34 Å. In the tenth Ni site, Ni is bonded in a 10-coordinate geometry to two equivalent Sm and eight Ni atoms. There are a spread of Ni–Ni bond distances ranging from 2.39–2.50 Å. In the eleventh Ni site, Ni is bonded to four Sm and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiSm4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.34 Å. In the twelfth Ni site, Ni is bonded in a distorted trigonal planar geometry to six Sm and three P atoms. There are one shorter (2.25 Å) and two longer (2.28 Å) Ni–P bond lengths. In the thirteenth Ni site, Ni is bonded to four Sm and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiSm4P4 tetrahedra. There are two shorter (2.32 Å) and two longer (2.33 Å) Ni–P bond lengths. In the fourteenth Ni site, Ni is bonded to four Sm and four P atoms to form a mixture of distorted edge and face-sharing NiSm4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.31–2.34 Å. In the fifteenth Ni site, Ni is bonded to four Sm and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiSm4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.34 Å. In the sixteenth Ni site, Ni is bonded in a 10-coordinate geometry to two equivalent Sm and eight Ni atoms. In the seventeenth Ni site, Ni is bonded in a 3-coordinate geometry to three Sm, one Ni, and three P atoms. There are one shorter (2.22 Å) and two longer (2.36 Å) Ni–P bond lengths. In the eighteenth Ni site, Ni is bonded to four Sm and four P atoms to form a mixture of distorted edge and face-sharing NiSm4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.31–2.34 Å. In the nineteenth Ni site, Ni is bonded to four Sm and four P atoms to form a mixture of distorted edge and face-sharing NiSm4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.31–2.34 Å. In the twentieth Ni site, Ni is bonded in a distorted trigonal planar geometry to six Sm and three P atoms. There are two shorter (2.23 Å) and one longer (2.28 Å) Ni–P bond lengths. In the twenty-first Ni site, Ni is bonded in a 3-coordinate geometry to six Sm and three P atoms. There are two shorter (2.26 Å) and one longer (2.28 Å) Ni–P bond lengths. In the twenty-second Ni site, Ni is bonded in a 3-coordinate geometry to six Sm and three P atoms. There are two shorter (2.26 Å) and one longer (2.28 Å) Ni–P bond lengths. In the twenty-third Ni site, Ni is bonded in a distorted trigonal planar geometry to six Sm and three P atoms. There are two shorter (2.27 Å) and one longer (2.28 Å) Ni–P bond lengths. In the twenty-fourth Ni site, Ni is bonded in a distorted trigonal planar geometry to six Sm and three P atoms. There are a spread of Ni–P bond distances ranging from 2.25–2.28 Å. In the twenty-fifth Ni site, Ni is bonded in a distorted trigonal planar geometry to six Sm and three P atoms. There are two shorter (2.23 Å) and one longer (2.28 Å) Ni–P bond lengths. In the twenty-sixth Ni site, Ni is bonded in a distorted trigonal planar geometry to six Sm and three P atoms. There are one shorter (2.25 Å) and two longer (2.28 Å) Ni–P bond lengths. In the twenty-seventh Ni site, Ni is bonded in a distorted trigonal planar geometry to six Sm and three P atoms. There are a spread of Ni–P bond distances ranging from 2.25–2.28 Å. In the twenty-eighth Ni site, Ni is bonded in a distorted single-bond geometry to two equivalent Sm, four equivalent Ni, and one P atom. The Ni–P bond length is 2.17 Å. There are nineteen inequivalent P sites. In the first P site, P is bonded in a 9-coordinate geometry to four Sm and five Ni atoms. In the second P site, P is bonded in a 9-coordinate geometry to four Sm and five Ni atoms. In the third P site, P is bonded in a 3-coordinate geometry to six Sm and three Ni atoms. In the fourth P site, P is bonded in a 9-coordinate geometry to four equivalent Sm and five Ni atoms. In the fifth P site, P is bonded in a 9-coordinate geometry to four Sm and five Ni atoms. In the sixth P site, P is bonded in a 9-coordinate geometry to four Sm and five Ni atoms. In the seventh P site, P is bonded in a 3-coordinate geometry to six Sm and three Ni atoms. In the eighth P site, P is bonded in a 9-coordinate geometry to four Sm and five Ni atoms. In the ninth P site, P is bonded in a 9-coordinate geometry to four Sm and five Ni atoms. In the tenth P site, P is bonded in a 3-coordinate geometry to six Sm and three Ni atoms. In the eleventh P site, P is bonded in a 9-coordinate geometry to four Sm and five Ni atoms. In the twelfth P site, P is bonded in a 9-coordinate geometry to four Sm and five Ni atoms. In the thirteenth P site, P is bonded in a 9-coordinate geometry to four Sm and five Ni atoms. In the fourteenth P site, P is bonded in a 9-coordinate geometry to two equivalent Sm and seven Ni atoms. In the fifteenth P site, P is bonded in a 9-coordinate geometry to two equivalent Sm and seven Ni atoms. In the sixteenth P site, P is bonded in a 9-coordinate geometry to four Sm and five Ni atoms. In the seventeenth P site, P is bonded in a 3-coordinate geometry to six Sm and three Ni atoms. In the eighteenth P site, P is bonded in a 3-coordinate geometry to six Sm and three Ni atoms. In the nineteenth P site, P is bonded in a 3-coordinate geometry to six Sm and three Ni atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sm10Pd21 by Materials Project

Sm10Pd21 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Sm sites. In the first Sm site, Sm is bonded in a 10-coordinate geometry to ten Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.80–3.11 Å. In the second Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.19 Å. In the third Sm site, Sm is bonded in a 10-coordinate geometry to ten Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.80–3.10 Å. In the fourth Sm site, Sm is bonded in a 10-coordinate geometry to ten Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.21 Å. In the fifth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.15 Å. In the sixth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.89–3.16 Å. In the seventh Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.16 Å. In the eighth Sm site, Sm is bonded in a 9-coordinate geometry to nine Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.83–3.04 Å. In the ninth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.91–3.07 Å. In the tenth Sm site, Sm is bonded in a 9-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.50 Å. In the eleventh Sm site, Sm is bonded in a distorted q6 geometry to ten Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.92–3.03 Å. In the twelfth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.92–3.07 Å. In the thirteenth Sm site, Sm is bonded in a 9-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.86–3.53 Å. In the fourteenth Sm site, Sm is bonded in a 10-coordinate geometry to ten Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.20 Å. In the fifteenth Sm site, Sm is bonded in a 9-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.86–3.52 Å. In the sixteenth Sm site, Sm is bonded in a distorted q6 geometry to ten Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.92–3.03 Å. In the seventeenth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.87–3.49 Å. In the eighteenth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.89–3.18 Å. In the nineteenth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.19 Å. In the twentieth Sm site, Sm is bonded in a 9-coordinate geometry to nine Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.83–3.05 Å. There are forty-two inequivalent Pd sites. In the first Pd site, Pd is bonded in a 12-coordinate geometry to six Sm and six Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.74–3.11 Å. In the second Pd site, Pd is bonded to five Sm and two Pd atoms to form distorted PdSm5Pd2 trigonal bipyramids that share a cornercorner with one PdSm6Pd2 octahedra, corners with two equivalent PdSm5Pd2 trigonal bipyramids, and a faceface with one PdSm5Pd6 trigonal bipyramid. The corner-sharing octahedral tilt angles are 61°. There are one shorter (3.00 Å) and one longer (3.01 Å) Pd–Pd bond lengths. In the third Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and four Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.86–2.99 Å. In the fourth Pd site, Pd is bonded to six Sm and two Pd atoms to form distorted PdSm6Pd2 octahedra that share corners with two equivalent PdSm6Pd2 octahedra, corners with four PdSm5Pd2 trigonal bipyramids, edges with two PdSm5Pd7 cuboctahedra, and faces with two PdSm5Pd7 cuboctahedra. The corner-sharing octahedral tilt angles are 6°. There are one shorter (3.04 Å) and one longer (3.06 Å) Pd–Pd bond lengths. In the fifth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm atoms. In the sixth Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and two Pd atoms. Both Pd–Pd bond lengths are 2.85 Å. In the seventh Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and four Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.86–2.99 Å. In the eighth Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and four Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.95–3.19 Å. In the ninth Pd site, Pd is bonded in a 6-coordinate geometry to six Sm and two Pd atoms. There are one shorter (3.02 Å) and one longer (3.03 Å) Pd–Pd bond lengths. In the tenth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.85–2.98 Å. In the eleventh Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and four Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.97–3.18 Å. In the twelfth Pd site, Pd is bonded in a distorted rectangular see-saw-like geometry to four Sm and six Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.90–3.09 Å. In the thirteenth Pd site, Pd is bonded to five Sm and six Pd atoms to form distorted PdSm5Pd6 trigonal bipyramids that share corners with two PdSm5Pd7 cuboctahedra, a cornercorner with one PdSm6Pd2 octahedra, corners with two equivalent PdSm5Pd6 trigonal bipyramids, and faces with four PdSm5Pd2 trigonal bipyramids. The corner-sharing octahedral tilt angles are 31°. There are a spread of Pd–Pd bond distances ranging from 2.93–3.17 Å. In the fourteenth Pd site, Pd is bonded to five Sm and two Pd atoms to form distorted PdSm5Pd2 trigonal bipyramids that share a cornercorner with one PdSm6Pd2 octahedra, corners with two equivalent PdSm5Pd2 trigonal bipyramids, and a faceface with one PdSm5Pd6 trigonal bipyramid. The corner-sharing octahedral tilt angles are 25°. Both Pd–Pd bond lengths are 2.99 Å. In the fifteenth Pd site, Pd is bonded to five Sm and six Pd atoms to form distorted PdSm5Pd6 trigonal bipyramids that share corners with two PdSm5Pd7 cuboctahedra, corners with two equivalent PdSm5Pd6 trigonal bipyramids, and faces with five PdSm5Pd6 trigonal bipyramids. There are a spread of Pd–Pd bond distances ranging from 2.95–3.11 Å. In the sixteenth Pd site, Pd is bonded to five Sm and seven Pd atoms to form distorted PdSm5Pd7 cuboctahedra that share corners with two equivalent PdSm5Pd7 cuboctahedra, corners with two PdSm5Pd6 trigonal bipyramids, edges with two equivalent PdSm5Pd7 cuboctahedra, an edgeedge with one PdSm6Pd2 octahedra, faces with three PdSm5Pd7 cuboctahedra, and a faceface with one PdSm6Pd2 octahedra. There are a spread of Pd–Pd bond distances ranging from 2.86–2.99 Å. In the seventeenth Pd site, Pd is bonded in a 12-coordinate geometry to six Sm and six Pd atoms. There are one shorter (3.05 Å) and one longer (3.10 Å) Pd–Pd bond lengths. In the eighteenth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.87–2.98 Å. In the nineteenth Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and two Pd atoms. There are one shorter (2.84 Å) and one longer (2.86 Å) Pd–Pd bond lengths. In the twentieth Pd site, Pd is bonded to five Sm and seven Pd atoms to form distorted PdSm5Pd7 cuboctahedra that share corners with two equivalent PdSm5Pd7 cuboctahedra, corners with two PdSm5Pd6 trigonal bipyramids, edges with two equivalent PdSm5Pd7 cuboctahedra, an edgeedge with one PdSm6Pd2 octahedra, faces with three PdSm5Pd7 cuboctahedra, and a faceface with one PdSm6Pd2 octahedra. There are one shorter (2.92 Å) and one longer (3.00 Å) Pd–Pd bond lengths. In the twenty-first Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and four Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.86–3.00 Å. In the twenty-second Pd site, Pd is bonded in a distorted rectangular see-saw-like geometry to four Sm and two Pd atoms. The Pd–Pd bond length is 2.91 Å. In the twenty-third Pd site, Pd is bonded to five Sm and six Pd atoms to form distorted PdSm5Pd6 trigonal bipyramids that share corners with two PdSm5Pd7 cuboctahedra, corners with two equivalent PdSm5Pd6 trigonal bipyramids, and faces with four PdSm5Pd6 trigonal bipyramids. There are a spread of Pd–Pd bond distances ranging from 2.93–3.16 Å. In the twenty-fourth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. In the twenty-fifth Pd site, Pd is bonded to five Sm and seven Pd atoms to form distorted PdSm5Pd7 cuboctahedra that share corners with two equivalent PdSm5Pd7 cuboctahedra, corners with two PdSm5Pd6 trigonal bipyramids, edges with two equivalent PdSm5Pd7 cuboctahedra, and faces with three PdSm5Pd7 cuboctahedra. There are a spread of Pd–Pd bond distances ranging from 2.88–2.97 Å. In the twenty-sixth Pd site, Pd is bonded in a distorted square co-planar geometry to four Sm atoms. In the twenty-seventh Pd site, Pd is bonded in a 5-coordinate geometry to five Sm atoms. In the twenty-eighth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.85–2.93 Å. In the twenty-ninth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. The Pd–Pd bond length is 2.94 Å. In the thirtieth Pd site, Pd is bonded in a 12-coordinate geometry to six Sm and six Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.74–3.11 Å. In the thirty-first Pd site, Pd is bonded to five Sm and six Pd atoms to form distorted PdSm5Pd6 trigonal bipyramids that share corners with two PdSm5Pd7 cuboctahedra, a cornercorner with one PdSm6Pd2 octahedra, corners with two equivalent PdSm5Pd6 trigonal bipyramids, and faces with five PdSm5Pd6 trigonal bipyramids. The corner-sharing octahedral tilt angles are 32°. The Pd–Pd bond length is 2.98 Å. In the thirty-second Pd site, Pd is bonded in a distorted rectangular see-saw-like geometry to four Sm and six Pd atoms. The Pd–Pd bond length is 2.94 Å. In the thirty-third Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and four Pd atoms. The Pd–Pd bond length is 2.85 Å. In the thirty-fourth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. The Pd–Pd bond length is 2.91 Å. In the thirty-fifth Pd site, Pd is bonded in a distorted rectangular see-saw-like geometry to four Sm and two Pd atoms. In the thirty-sixth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm atoms. In the thirty-seventh Pd site, Pd is bonded in a 12-coordinate geometry to six Sm and six Pd atoms. In the thirty-eighth Pd site, Pd is bonded to five Sm and seven Pd atoms to form distorted PdSm5Pd7 cuboctahedra that share corners with two equivalent PdSm5Pd7 cuboctahedra, corners with two PdSm5Pd6 trigonal bipyramids, edges with two equivalent PdSm5Pd7 cuboctahedra, and faces with three PdSm5Pd7 cuboctahedra. In the thirty-ninth Pd site, Pd is bonded in a distorted square co-planar geometry to four Sm atoms. In the fortieth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. There are one shorter (2.87 Å) and one longer (2.98 Å) Pd–Pd bond lengths. In the forty-first Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. In the forty-second Pd site, Pd is bonded in a 12-coordinate geometry to five Sm atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sm3MoO7 by Materials Project

Sm3MoO7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Sm+2.67+ sites. In the first Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.94 Å. In the second Sm+2.67+ site, Sm+2.67+ is bonded to seven O2- atoms to form distorted SmO7 pentagonal bipyramids that share corners with two MoO6 octahedra, corners with three SmO7 pentagonal bipyramids, and edges with two MoO6 octahedra. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Sm–O bond distances ranging from 2.28–2.58 Å. In the third Sm+2.67+ site, Sm+2.67+ is bonded to seven O2- atoms to form distorted SmO7 pentagonal bipyramids that share corners with two MoO6 octahedra, corners with two equivalent SmO7 pentagonal bipyramids, and edges with two MoO6 octahedra. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Sm–O bond distances ranging from 2.28–2.58 Å. In the fourth Sm+2.67+ site, Sm+2.67+ is bonded to seven O2- atoms to form distorted SmO7 pentagonal bipyramids that share corners with two MoO6 octahedra, a cornercorner with one SmO7 pentagonal bipyramid, edges with two MoO6 octahedra, and edges with two equivalent SmO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 29–36°. There are a spread of Sm–O bond distances ranging from 2.32–2.57 Å. In the fifth Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.58 Å. In the sixth Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.58 Å. In the seventh Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.33–2.58 Å. In the eighth Sm+2.67+ site, Sm+2.67+ is bonded to seven O2- atoms to form SmO7 pentagonal bipyramids that share corners with two MoO6 octahedra, corners with two equivalent SmO7 pentagonal bipyramids, edges with two MoO6 octahedra, and edges with two equivalent SmO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–44°. There are a spread of Sm–O bond distances ranging from 2.28–2.57 Å. In the ninth Sm+2.67+ site, Sm+2.67+ is bonded to seven O2- atoms to form distorted SmO7 pentagonal bipyramids that share corners with two MoO6 octahedra, corners with two equivalent SmO7 pentagonal bipyramids, and edges with two MoO6 octahedra. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Sm–O bond distances ranging from 2.28–2.58 Å. In the tenth Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.95 Å. In the eleventh Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.92 Å. In the twelfth Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.92 Å. In the thirteenth Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.94 Å. In the fourteenth Sm+2.67+ site, Sm+2.67+ is bonded to seven O2- atoms to form distorted SmO7 pentagonal bipyramids that share corners with two MoO6 octahedra, corners with two equivalent SmO7 pentagonal bipyramids, and edges with two MoO6 octahedra. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Sm–O bond distances ranging from 2.28–2.58 Å. In the fifteenth Sm+2.67+ site, Sm+2.67+ is bonded to seven O2- atoms to form SmO7 pentagonal bipyramids that share corners with two MoO6 octahedra, corners with two equivalent SmO7 pentagonal bipyramids, and edges with two MoO6 octahedra. The corner-sharing octahedra tilt angles range from 39–44°. There are a spread of Sm–O bond distances ranging from 2.28–2.57 Å. In the sixteenth Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.33–2.58 Å. In the seventeenth Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.58 Å. In the eighteenth Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.58 Å. In the nineteenth Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.58 Å. In the twentieth Sm+2.67+ site, Sm+2.67+ is bonded to seven O2- atoms to form distorted SmO7 pentagonal bipyramids that share corners with two MoO6 octahedra, corners with two equivalent SmO7 pentagonal bipyramids, and edges with two MoO6 octahedra. The corner-sharing octahedra tilt angles range from 41–44°. There are a spread of Sm–O bond distances ranging from 2.28–2.58 Å. In the twenty-first Sm+2.67+ site, Sm+2.67+ is bonded to seven O2- atoms to form SmO7 pentagonal bipyramids that share corners with two MoO6 octahedra, corners with two equivalent SmO7 pentagonal bipyramids, and edges with two MoO6 octahedra. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Sm–O bond distances ranging from 2.28–2.58 Å. In the twenty-second Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.92 Å. In the twenty-third Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.94 Å. In the twenty-fourth Sm+2.67+ site, Sm+2.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.88 Å. There are eight inequivalent Mo6+ sites. In the first Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with two SmO7 pentagonal bipyramids, and edges with three SmO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 41°. There are a spread of Mo–O bond distances ranging from 1.88–2.13 Å. In the second Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with two SmO7 pentagonal bipyramids, and edges with two SmO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 41°. There are a spread of Mo–O bond distances ranging from 1.88–2.13 Å. In the third Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with three SmO7 pentagonal bipyramids, and edges with two SmO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Mo–O bond distances ranging from 1.89–2.13 Å. In the fourth Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with two SmO7 pentagonal bipyramids, and edges with two SmO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 41°. There are a spread of Mo–O bond distances ranging from 1.88–2.13 Å. In the fifth Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with three SmO7 pentagonal bipyramids, and edges with two SmO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Mo–O bond distances ranging from 1.88–2.13 Å. In the sixth Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with two SmO7 pentagonal bipyramids, and edges with two SmO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 41°. There are a spread of Mo–O bond distances ranging from 1.89–2.13 Å. In the seventh Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with two SmO7 pentagonal bipyramids, and edges with three SmO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 41°. There are a spread of Mo–O bond distances ranging from 1.88–2.13 Å. In the eighth Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with two SmO7 pentagonal bipyramids, and edges with two SmO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 41°. There are a spread of Mo–O bond distances ranging from 1.89–2.13 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to four Sm+2.67+ atoms to form OSm4 tetrahedra that share corners with eight OSm3Mo tetrahedra, corners with two OSm3Mo trigonal pyramids, edges with two OSm4 tetrahedra, and an edgeedge with one OSm3Mo trigonal pyramid. In the second O2- site, O2- is bonded to four Sm+2.67+ atoms to form OSm4 tetrahedra that share corners with eight OSm3Mo tetrahedra, corners with two OSm3Mo trigonal pyramids, edges with two OSm4 tetrahedra, and an edgeedge with one OSm3Mo trigonal pyramid. In the third O2- site, O2- is bonded to four Sm+2.67+ atoms to form a mixture of edge and corner-sharing OSm4 tetrahedra. In the fourth O2- site, O2- is bonded to four Sm+2.67+ atoms to form a mixture of edge and corner-sharing OSm4 tetrahedra. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Sm+2.67+ and two Mo6+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Sm+2.67+ and two Mo6+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Sm+2.67+ and one Mo6+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Sm+2.67+ and one Mo6+ atom. In the ninth O2- site, O2- is bonded to three Sm+2.67+ and one Mo6+ atom to form distorted OSm3Mo trigonal pyramids that share corners with four OSm4 tetrahedra and edges with four OSm3Mo tetrahedra. In the tenth O2- site, O2- is bonded to three Sm+2.67+ and one Mo6+ atom to form distorted OSm3Mo trigonal pyramids that share corners with four OSm4 tetrahedra and edges with four OSm3Mo tetrahedra. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three Sm+2.67+ and one Mo6+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to three Sm+2.67+ and one Mo6+ atom. In the thirteenth O2- site, O2- is bonded to three Sm+2.67+ and one Mo6+ atom to form distorted OSm3Mo tetrahedra that share corners with four OSm4 tetrahedra, edges with two OSm4 tetrahedra, and edges with two OSm3Mo trigonal pyramids. In the fourteenth O2- site, O2- is bonded to three Sm+2.67+ and one Mo6+ atom to form distorted OSm3Mo tetrahedra that share corners with four OSm4 tetrahedra, edges with two OSm4 tetrahedra, and edges with two OSm3Mo trigonal pyramids. In the fifteenth O2- site, O2- is bonded to three Sm+2.67+ and one Mo6+ atom to form distorted OSm3Mo tetrahedra that share corners with four OSm4 tetrahedra, edges with two OSm4 tetrahedra, and edges with two OSm3Mo trigonal pyramids. In the sixteenth O2- site, O2- is bonded to three Sm+2.67+ and one Mo6+ atom to form distorted OSm3Mo tetrahedra that share corners with four OSm4 tetrahedra, edges with two OSm4 tetrahedra, and edges with two OSm3Mo trigonal pyramids. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to three Sm+2.67+ and one Mo6+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Sm+2.67+ and one Mo6+ atom. In the nineteenth O2- site, O2- is bonded to three Sm+2.67+ and one Mo6+ atom to form a mixture of distorted edge

36 MATERIALS SCIENCE↗

Materials Data on Sm8Al53Si17Ru12 by Materials Project

Sm8Ru12Al53Si17 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Sm sites. In the first Sm site, Sm is bonded in a 12-coordinate geometry to nine Al and three Si atoms. There are a spread of Sm–Al bond distances ranging from 3.16–3.23 Å. All Sm–Si bond lengths are 2.99 Å. In the second Sm site, Sm is bonded in a 12-coordinate geometry to nine Al and three Si atoms. There are a spread of Sm–Al bond distances ranging from 3.15–3.24 Å. There are one shorter (2.98 Å) and two longer (2.99 Å) Sm–Si bond lengths. In the third Sm site, Sm is bonded in a 12-coordinate geometry to nine Al and three Si atoms. There are a spread of Sm–Al bond distances ranging from 3.13–3.25 Å. All Sm–Si bond lengths are 2.98 Å. In the fourth Sm site, Sm is bonded in a 12-coordinate geometry to nine Al and three Si atoms. There are a spread of Sm–Al bond distances ranging from 3.14–3.26 Å. There are a spread of Sm–Si bond distances ranging from 2.97–2.99 Å. In the fifth Sm site, Sm is bonded in a 12-coordinate geometry to nine Al and three Si atoms. There are a spread of Sm–Al bond distances ranging from 3.14–3.25 Å. All Sm–Si bond lengths are 2.97 Å. In the sixth Sm site, Sm is bonded in a 12-coordinate geometry to nine Al and three Si atoms. There are a spread of Sm–Al bond distances ranging from 3.14–3.24 Å. There are a spread of Sm–Si bond distances ranging from 2.97–2.99 Å. In the seventh Sm site, Sm is bonded in a 12-coordinate geometry to nine Al and three Si atoms. There are a spread of Sm–Al bond distances ranging from 3.15–3.24 Å. There are a spread of Sm–Si bond distances ranging from 2.97–2.99 Å. In the eighth Sm site, Sm is bonded in a 12-coordinate geometry to nine Al and three Si atoms. There are a spread of Sm–Al bond distances ranging from 3.14–3.24 Å. There are two shorter (2.98 Å) and one longer (2.99 Å) Sm–Si bond lengths. There are twelve inequivalent Ru sites. In the first Ru site, Ru is bonded in a 9-coordinate geometry to nine Al atoms. There are a spread of Ru–Al bond distances ranging from 2.47–2.63 Å. In the second Ru site, Ru is bonded in a 9-coordinate geometry to nine Al atoms. There are a spread of Ru–Al bond distances ranging from 2.46–2.63 Å. In the third Ru site, Ru is bonded in a 9-coordinate geometry to nine Al atoms. There are a spread of Ru–Al bond distances ranging from 2.45–2.63 Å. In the fourth Ru site, Ru is bonded in a 9-coordinate geometry to nine Al atoms. There are a spread of Ru–Al bond distances ranging from 2.47–2.62 Å. In the fifth Ru site, Ru is bonded in a 9-coordinate geometry to eight Al and one Si atom. There are a spread of Ru–Al bond distances ranging from 2.59–2.63 Å. The Ru–Si bond length is 2.40 Å. In the sixth Ru site, Ru is bonded in a 9-coordinate geometry to eight Al and one Si atom. There are a spread of Ru–Al bond distances ranging from 2.60–2.62 Å. The Ru–Si bond length is 2.39 Å. In the seventh Ru site, Ru is bonded in a 9-coordinate geometry to eight Al and one Si atom. There are a spread of Ru–Al bond distances ranging from 2.59–2.64 Å. The Ru–Si bond length is 2.40 Å. In the eighth Ru site, Ru is bonded in a 9-coordinate geometry to eight Al and one Si atom. There are a spread of Ru–Al bond distances ranging from 2.59–2.63 Å. The Ru–Si bond length is 2.40 Å. In the ninth Ru site, Ru is bonded in a 9-coordinate geometry to eight Al and one Si atom. There are a spread of Ru–Al bond distances ranging from 2.58–2.62 Å. The Ru–Si bond length is 2.39 Å. In the tenth Ru site, Ru is bonded in a 9-coordinate geometry to eight Al and one Si atom. There are a spread of Ru–Al bond distances ranging from 2.59–2.65 Å. The Ru–Si bond length is 2.40 Å. In the eleventh Ru site, Ru is bonded in a 9-coordinate geometry to eight Al and one Si atom. There are a spread of Ru–Al bond distances ranging from 2.60–2.62 Å. The Ru–Si bond length is 2.39 Å. In the twelfth Ru site, Ru is bonded in a 9-coordinate geometry to eight Al and one Si atom. There are a spread of Ru–Al bond distances ranging from 2.58–2.63 Å. The Ru–Si bond length is 2.41 Å. There are fifty-three inequivalent Al sites. In the first Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, and one Si atom. The Al–Si bond length is 2.59 Å. In the second Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, one Al, and one Si atom. The Al–Al bond length is 2.75 Å. The Al–Si bond length is 2.58 Å. In the third Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, and one Si atom. The Al–Si bond length is 2.58 Å. In the fourth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, four Al, and three Si atoms. There are two shorter (2.75 Å) and two longer (2.90 Å) Al–Al bond lengths. There are a spread of Al–Si bond distances ranging from 2.58–2.77 Å. In the fifth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, two Al, and two Si atoms. Both Al–Al bond lengths are 2.74 Å. There are one shorter (2.58 Å) and one longer (2.91 Å) Al–Si bond lengths. In the sixth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, two Al, and two Si atoms. There are one shorter (2.75 Å) and one longer (2.77 Å) Al–Al bond lengths. There are one shorter (2.60 Å) and one longer (2.86 Å) Al–Si bond lengths. In the seventh Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, two Al, and three Si atoms. Both Al–Al bond lengths are 2.75 Å. There are a spread of Al–Si bond distances ranging from 2.59–2.81 Å. In the eighth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, four Al, and three Si atoms. There are a spread of Al–Al bond distances ranging from 2.76–2.92 Å. There are a spread of Al–Si bond distances ranging from 2.59–2.80 Å. In the ninth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, one Al, and three Si atoms. The Al–Al bond length is 2.77 Å. There are a spread of Al–Si bond distances ranging from 2.60–2.77 Å. In the tenth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, four Al, and three Si atoms. There are a spread of Al–Al bond distances ranging from 2.75–2.90 Å. There are a spread of Al–Si bond distances ranging from 2.59–2.77 Å. In the eleventh Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, two Al, and three Si atoms. Both Al–Al bond lengths are 2.76 Å. There are a spread of Al–Si bond distances ranging from 2.58–2.79 Å. In the twelfth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, two Al, and three Si atoms. There are one shorter (2.73 Å) and one longer (2.74 Å) Al–Al bond lengths. There are a spread of Al–Si bond distances ranging from 2.57–2.88 Å. In the thirteenth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, four Al, and three Si atoms. There are one shorter (2.74 Å) and one longer (2.75 Å) Al–Al bond lengths. There are a spread of Al–Si bond distances ranging from 2.59–2.82 Å. In the fourteenth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, three Al, and three Si atoms. There are one shorter (2.73 Å) and one longer (2.74 Å) Al–Al bond lengths. There are a spread of Al–Si bond distances ranging from 2.58–2.89 Å. In the fifteenth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, two Al, and three Si atoms. Both Al–Al bond lengths are 2.74 Å. There are a spread of Al–Si bond distances ranging from 2.58–2.86 Å. In the sixteenth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, one Al, and two Si atoms. The Al–Al bond length is 2.74 Å. There are one shorter (2.59 Å) and one longer (2.88 Å) Al–Si bond lengths. In the seventeenth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, two Al, and three Si atoms. The Al–Al bond length is 2.73 Å. There are a spread of Al–Si bond distances ranging from 2.58–2.83 Å. In the eighteenth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, one Al, and two Si atoms. The Al–Al bond length is 2.75 Å. There are one shorter (2.59 Å) and one longer (2.88 Å) Al–Si bond lengths. In the nineteenth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, four Al, and three Si atoms. There are one shorter (2.74 Å) and one longer (2.75 Å) Al–Al bond lengths. There are a spread of Al–Si bond distances ranging from 2.59–2.75 Å. In the twentieth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, two Al, and two Si atoms. Both Al–Al bond lengths are 2.75 Å. There are one shorter (2.59 Å) and one longer (2.89 Å) Al–Si bond lengths. In the twenty-first Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, two Al, and two Si atoms. Both Al–Al bond lengths are 2.76 Å. There are one shorter (2.60 Å) and one longer (2.86 Å) Al–Si bond lengths. In the twenty-second Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, and two Si atoms. There are one shorter (2.58 Å) and one longer (2.83 Å) Al–Si bond lengths. In the twenty-third Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, two Al, and one Si atom. Both Al–Al bond lengths are 2.77 Å. The Al–Si bond length is 2.60 Å. In the twenty-fourth Al site, Al is bonded in a 3-coordinate geometry to one Sm, two Ru, and two Si atoms. There are one shorter (2.58 Å) and one longer (2.88 Å) Al–Si bond lengths. In the twenty-fifth Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, three Al, and one Si atom. There are a spread of Al–Al bond distances ranging from 2.61–2.90 Å. The Al–Si bond length is 2.64 Å. In the twenty-sixth Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, two Al, and one Si atom. The Al–Al bond length is 2.91 Å. The Al–Si bond length is 2.64 Å. In the twenty-seventh Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, two Al, and one Si atom. There are one shorter (2.61 Å) and one longer (2.91 Å) Al–Al bond lengths. The Al–Si bond length is 2.66 Å. In the twenty-eighth Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, two Al, and one Si atom. The Al–Al bond length is 2.91 Å. The Al–Si bond length is 2.66 Å. In the twenty-ninth Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, and one Si atom. The Al–Si bond length is 2.65 Å. In the thirtieth Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, five Al, and one Si atom. There are one shorter (2.62 Å) and one longer (2.90 Å) Al–Al bond lengths. The Al–Si bond length is 2.65 Å. In the thirty-first Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, five Al, and one Si atom. Both Al–Al bond lengths are 2.90 Å. The Al–Si bond length is 2.65 Å. In the thirty-second Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, three Al, and one Si atom. There are one shorter (2.61 Å) and one longer (2.92 Å) Al–Al bond lengths. The Al–Si bond length is 2.65 Å. In the thirty-third Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, five Al, and one Si atom. There are one shorter (2.61 Å) and two longer (2.91 Å) Al–Al bond lengths. The Al–Si bond length is 2.66 Å. In the thirty-fourth Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, three Al, and one Si atom. The Al–Al bond length is 2.94 Å. The Al–Si bond length is 2.65 Å. In the thirty-fifth Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, five Al, and one Si atom. The Al–Al bond length is 2.61 Å. The Al–Si bond length is 2.66 Å. In the thirty-sixth Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, five Al, and one Si atom. There are one shorter (2.62 Å) and one longer (2.89 Å) Al–Al bond lengths. The Al–Si bond length is 2.65 Å. In the thirty-seventh Al site, Al is bonded in a 3-coordinate geometry to two Sm, two Ru, five Al, and one Si atom. There are one shorter (2.62 Å) and one longer (2.91 Å) Al–Al bond lengths. The Al–Si bond length is 2.66 Å. In the thirty-eighth Al site, Al is bonded in a 3-coordina

36 MATERIALS SCIENCE↗

Materials Data on Sm6Br13 by Materials Project

Sm6Br13 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Sm+2.17+ sites. In the first Sm+2.17+ site, Sm+2.17+ is bonded to seven Br1- atoms to form a mixture of distorted corner and edge-sharing SmBr7 pentagonal bipyramids. There are a spread of Sm–Br bond distances ranging from 2.87–3.32 Å. In the second Sm+2.17+ site, Sm+2.17+ is bonded to seven Br1- atoms to form a mixture of distorted corner and edge-sharing SmBr7 pentagonal bipyramids. There are a spread of Sm–Br bond distances ranging from 2.90–3.18 Å. In the third Sm+2.17+ site, Sm+2.17+ is bonded in a 8-coordinate geometry to eight Br1- atoms. There are a spread of Sm–Br bond distances ranging from 2.93–3.17 Å. In the fourth Sm+2.17+ site, Sm+2.17+ is bonded in a 8-coordinate geometry to eight Br1- atoms. There are a spread of Sm–Br bond distances ranging from 2.93–3.16 Å. In the fifth Sm+2.17+ site, Sm+2.17+ is bonded to seven Br1- atoms to form a mixture of distorted corner and edge-sharing SmBr7 pentagonal bipyramids. There are a spread of Sm–Br bond distances ranging from 2.86–3.32 Å. In the sixth Sm+2.17+ site, Sm+2.17+ is bonded in a 8-coordinate geometry to eight Br1- atoms. There are a spread of Sm–Br bond distances ranging from 2.93–3.16 Å. In the seventh Sm+2.17+ site, Sm+2.17+ is bonded to seven Br1- atoms to form a mixture of distorted corner and edge-sharing SmBr7 pentagonal bipyramids. There are a spread of Sm–Br bond distances ranging from 2.87–3.30 Å. In the eighth Sm+2.17+ site, Sm+2.17+ is bonded to seven Br1- atoms to form a mixture of distorted corner and edge-sharing SmBr7 pentagonal bipyramids. There are a spread of Sm–Br bond distances ranging from 2.91–3.19 Å. In the ninth Sm+2.17+ site, Sm+2.17+ is bonded to seven Br1- atoms to form a mixture of distorted corner and edge-sharing SmBr7 pentagonal bipyramids. There are a spread of Sm–Br bond distances ranging from 2.91–3.18 Å. In the tenth Sm+2.17+ site, Sm+2.17+ is bonded to seven Br1- atoms to form a mixture of distorted corner and edge-sharing SmBr7 pentagonal bipyramids. There are a spread of Sm–Br bond distances ranging from 2.91–3.18 Å. In the eleventh Sm+2.17+ site, Sm+2.17+ is bonded to seven Br1- atoms to form a mixture of distorted corner and edge-sharing SmBr7 pentagonal bipyramids. There are a spread of Sm–Br bond distances ranging from 2.86–3.32 Å. In the twelfth Sm+2.17+ site, Sm+2.17+ is bonded in a 8-coordinate geometry to eight Br1- atoms. There are a spread of Sm–Br bond distances ranging from 2.93–3.17 Å. There are twenty-six inequivalent Br1- sites. In the first Br1- site, Br1- is bonded to four Sm+2.17+ atoms to form a mixture of distorted corner and edge-sharing BrSm4 tetrahedra. In the second Br1- site, Br1- is bonded in a distorted trigonal non-coplanar geometry to three Sm+2.17+ atoms. In the third Br1- site, Br1- is bonded in a distorted trigonal non-coplanar geometry to three Sm+2.17+ atoms. In the fourth Br1- site, Br1- is bonded to four Sm+2.17+ atoms to form a mixture of distorted corner and edge-sharing BrSm4 tetrahedra. In the fifth Br1- site, Br1- is bonded in a distorted trigonal planar geometry to three Sm+2.17+ atoms. In the sixth Br1- site, Br1- is bonded in a 3-coordinate geometry to three Sm+2.17+ atoms. In the seventh Br1- site, Br1- is bonded in a 3-coordinate geometry to three Sm+2.17+ atoms. In the eighth Br1- site, Br1- is bonded in a distorted trigonal planar geometry to three Sm+2.17+ atoms. In the ninth Br1- site, Br1- is bonded in a 4-coordinate geometry to four Sm+2.17+ atoms. In the tenth Br1- site, Br1- is bonded in a 3-coordinate geometry to three Sm+2.17+ atoms. In the eleventh Br1- site, Br1- is bonded to four Sm+2.17+ atoms to form a mixture of distorted corner and edge-sharing BrSm4 tetrahedra. In the twelfth Br1- site, Br1- is bonded in a 4-coordinate geometry to four Sm+2.17+ atoms. In the thirteenth Br1- site, Br1- is bonded in a 3-coordinate geometry to three Sm+2.17+ atoms. In the fourteenth Br1- site, Br1- is bonded to four Sm+2.17+ atoms to form a mixture of distorted corner and edge-sharing BrSm4 tetrahedra. In the fifteenth Br1- site, Br1- is bonded in a 4-coordinate geometry to four Sm+2.17+ atoms. In the sixteenth Br1- site, Br1- is bonded to four Sm+2.17+ atoms to form a mixture of distorted corner and edge-sharing BrSm4 tetrahedra. In the seventeenth Br1- site, Br1- is bonded in a 3-coordinate geometry to three Sm+2.17+ atoms. In the eighteenth Br1- site, Br1- is bonded in a distorted trigonal non-coplanar geometry to three Sm+2.17+ atoms. In the nineteenth Br1- site, Br1- is bonded in a distorted trigonal planar geometry to three Sm+2.17+ atoms. In the twentieth Br1- site, Br1- is bonded in a 4-coordinate geometry to four Sm+2.17+ atoms. In the twenty-first Br1- site, Br1- is bonded in a 3-coordinate geometry to three Sm+2.17+ atoms. In the twenty-second Br1- site, Br1- is bonded in a 3-coordinate geometry to three Sm+2.17+ atoms. In the twenty-third Br1- site, Br1- is bonded in a 3-coordinate geometry to three Sm+2.17+ atoms. In the twenty-fourth Br1- site, Br1- is bonded in a distorted trigonal planar geometry to three Sm+2.17+ atoms. In the twenty-fifth Br1- site, Br1- is bonded in a distorted trigonal non-coplanar geometry to three Sm+2.17+ atoms. In the twenty-sixth Br1- site, Br1- is bonded to four Sm+2.17+ atoms to form a mixture of distorted corner and edge-sharing BrSm4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Sm6Si3Ni2 by Materials Project

Sm6Ni2Si3 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are twelve inequivalent Sm sites. In the first Sm site, Sm is bonded in a 5-coordinate geometry to two equivalent Ni and three Si atoms. Both Sm–Ni bond lengths are 2.95 Å. There are two shorter (3.01 Å) and one longer (3.13 Å) Sm–Si bond lengths. In the second Sm site, Sm is bonded in a 5-coordinate geometry to three Ni and two equivalent Si atoms. There are two shorter (2.87 Å) and one longer (3.01 Å) Sm–Ni bond lengths. Both Sm–Si bond lengths are 3.02 Å. In the third Sm site, Sm is bonded in a 5-coordinate geometry to three Ni and two equivalent Si atoms. There are two shorter (2.88 Å) and one longer (3.15 Å) Sm–Ni bond lengths. Both Sm–Si bond lengths are 3.05 Å. In the fourth Sm site, Sm is bonded in a 5-coordinate geometry to four Ni and one Si atom. There are two shorter (2.95 Å) and two longer (3.01 Å) Sm–Ni bond lengths. The Sm–Si bond length is 3.15 Å. In the fifth Sm site, Sm is bonded in a 5-coordinate geometry to four Ni and one Si atom. There are two shorter (2.90 Å) and two longer (2.96 Å) Sm–Ni bond lengths. The Sm–Si bond length is 3.22 Å. In the sixth Sm site, Sm is bonded in a 5-coordinate geometry to two equivalent Ni and three Si atoms. Both Sm–Ni bond lengths are 2.95 Å. There are two shorter (3.03 Å) and one longer (3.10 Å) Sm–Si bond lengths. In the seventh Sm site, Sm is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Sm–Si bond distances ranging from 3.03–3.17 Å. In the eighth Sm site, Sm is bonded in a 7-coordinate geometry to one Ni and six Si atoms. The Sm–Ni bond length is 3.21 Å. There are a spread of Sm–Si bond distances ranging from 3.05–3.21 Å. In the ninth Sm site, Sm is bonded in a 7-coordinate geometry to one Ni and six Si atoms. The Sm–Ni bond length is 3.12 Å. There are a spread of Sm–Si bond distances ranging from 3.06–3.19 Å. In the tenth Sm site, Sm is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Sm–Ni bond lengths are 3.27 Å. There are a spread of Sm–Si bond distances ranging from 3.07–3.14 Å. In the eleventh Sm site, Sm is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Sm–Ni bond lengths are 3.34 Å. There are three shorter (3.06 Å) and two longer (3.15 Å) Sm–Si bond lengths. In the twelfth Sm site, Sm is bonded in a 7-coordinate geometry to four Ni and three Si atoms. There are two shorter (3.07 Å) and two longer (3.12 Å) Sm–Ni bond lengths. There are two shorter (3.00 Å) and one longer (3.23 Å) Sm–Si bond lengths. There are three inequivalent Ni sites. In the first Ni site, Ni is bonded in a body-centered cubic geometry to six Sm and two equivalent Ni atoms. There are one shorter (2.20 Å) and one longer (2.24 Å) Ni–Ni bond lengths. In the second Ni site, Ni is bonded in a 9-coordinate geometry to eight Sm and one Si atom. The Ni–Si bond length is 2.39 Å. In the third Ni site, Ni is bonded in a 9-coordinate geometry to eight Sm and one Si atom. The Ni–Si bond length is 2.39 Å. There are six inequivalent Si sites. In the first Si site, Si is bonded in a 9-coordinate geometry to six Sm, two Ni, and one Si atom. The Si–Si bond length is 2.51 Å. In the second Si site, Si is bonded in a 9-coordinate geometry to six Sm and three Si atoms. There are two shorter (2.41 Å) and one longer (2.42 Å) Si–Si bond lengths. In the third Si site, Si is bonded in a 9-coordinate geometry to eight Sm and one Si atom. In the fourth Si site, Si is bonded in a 9-coordinate geometry to eight Sm and one Si atom. In the fifth Si site, Si is bonded in a 9-coordinate geometry to eight Sm and one Si atom. In the sixth Si site, Si is bonded in a 9-coordinate geometry to eight Sm and one Si atom.

36 MATERIALS SCIENCE↗

Materials Data on Sm23Mg4Ni7 by Materials Project

Mg4Sm23Ni7 crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. there are two inequivalent Mg sites. In the first Mg site, Mg is bonded to three equivalent Mg and nine Sm atoms to form face-sharing MgSm9Mg3 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. There are a spread of Mg–Sm bond distances ranging from 3.41–3.62 Å. In the second Mg site, Mg is bonded to three Mg and nine Sm atoms to form a mixture of corner and face-sharing MgSm9Mg3 cuboctahedra. Both Mg–Mg bond lengths are 3.14 Å. There are a spread of Mg–Sm bond distances ranging from 3.38–3.66 Å. There are nine inequivalent Sm sites. In the first Sm site, Sm is bonded in a distorted bent 150 degrees geometry to two Mg, two equivalent Sm, and two equivalent Ni atoms. Both Sm–Sm bond lengths are 3.74 Å. Both Sm–Ni bond lengths are 2.85 Å. In the second Sm site, Sm is bonded in a distorted T-shaped geometry to two equivalent Sm and three Ni atoms. Both Sm–Sm bond lengths are 3.73 Å. There are two shorter (2.91 Å) and one longer (2.98 Å) Sm–Ni bond lengths. In the third Sm site, Sm is bonded in a bent 150 degrees geometry to two equivalent Mg, four Sm, and two Ni atoms. There are two shorter (3.72 Å) and two longer (3.74 Å) Sm–Sm bond lengths. There are one shorter (2.84 Å) and one longer (2.86 Å) Sm–Ni bond lengths. In the fourth Sm site, Sm is bonded in a 3-coordinate geometry to three Mg, two equivalent Sm, and three Ni atoms. Both Sm–Sm bond lengths are 3.55 Å. There are two shorter (2.85 Å) and one longer (2.86 Å) Sm–Ni bond lengths. In the fifth Sm site, Sm is bonded in a 3-coordinate geometry to one Mg, eleven Sm, and two equivalent Ni atoms. There are a spread of Sm–Sm bond distances ranging from 3.50–4.03 Å. Both Sm–Ni bond lengths are 3.60 Å. In the sixth Sm site, Sm is bonded in a 3-coordinate geometry to three equivalent Sm and three equivalent Ni atoms. All Sm–Ni bond lengths are 2.89 Å. In the seventh Sm site, Sm is bonded in a distorted water-like geometry to one Mg, one Sm, and four Ni atoms. There are two shorter (2.81 Å) and two longer (3.56 Å) Sm–Ni bond lengths. In the eighth Sm site, Sm is bonded in a 4-coordinate geometry to two equivalent Mg, ten Sm, and two Ni atoms. Both Sm–Sm bond lengths are 3.68 Å. There are one shorter (3.45 Å) and one longer (3.59 Å) Sm–Ni bond lengths. In the ninth Sm site, Sm is bonded in a 3-coordinate geometry to three equivalent Mg, three equivalent Sm, and three equivalent Ni atoms. All Sm–Ni bond lengths are 2.84 Å. There are three inequivalent Ni sites. In the first Ni site, Ni is bonded in a 6-coordinate geometry to nine Sm atoms. In the second Ni site, Ni is bonded in a 6-coordinate geometry to eight Sm atoms. In the third Ni site, Ni is bonded in a 6-coordinate geometry to nine Sm atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sm4Fe31Si3 by Materials Project

Sm4Fe31Si3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Sm sites. In the first Sm site, Sm is bonded in a 10-coordinate geometry to seventeen Fe and two Si atoms. There are a spread of Sm–Fe bond distances ranging from 2.99–3.26 Å. Both Sm–Si bond lengths are 3.11 Å. In the second Sm site, Sm is bonded in a 10-coordinate geometry to eighteen Fe and one Si atom. There are a spread of Sm–Fe bond distances ranging from 3.00–3.27 Å. The Sm–Si bond length is 3.12 Å. In the third Sm site, Sm is bonded in a 10-coordinate geometry to sixteen Fe and three Si atoms. There are a spread of Sm–Fe bond distances ranging from 3.00–3.27 Å. There are one shorter (3.18 Å) and two longer (3.21 Å) Sm–Si bond lengths. In the fourth Sm site, Sm is bonded in a 10-coordinate geometry to sixteen Fe and three Si atoms. There are a spread of Sm–Fe bond distances ranging from 3.00–3.26 Å. There are two shorter (3.18 Å) and one longer (3.21 Å) Sm–Si bond lengths. There are thirty-one inequivalent Fe sites. In the first Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, nine Fe, and one Si atom. There are a spread of Fe–Fe bond distances ranging from 2.42–2.76 Å. The Fe–Si bond length is 2.63 Å. In the second Fe site, Fe is bonded in a 12-coordinate geometry to two Sm and ten Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.42–2.75 Å. In the third Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, nine Fe, and one Si atom. There are a spread of Fe–Fe bond distances ranging from 2.41–2.75 Å. The Fe–Si bond length is 2.50 Å. In the fourth Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, nine Fe, and one Si atom. There are a spread of Fe–Fe bond distances ranging from 2.42–2.74 Å. The Fe–Si bond length is 2.51 Å. In the fifth Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, eight Fe, and two Si atoms. There are a spread of Fe–Fe bond distances ranging from 2.41–2.75 Å. There are one shorter (2.51 Å) and one longer (2.61 Å) Fe–Si bond lengths. In the sixth Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, nine Fe, and one Si atom. There are a spread of Fe–Fe bond distances ranging from 2.43–2.76 Å. The Fe–Si bond length is 2.63 Å. In the seventh Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, nine Fe, and one Si atom. There are a spread of Fe–Fe bond distances ranging from 2.41–2.75 Å. The Fe–Si bond length is 2.50 Å. In the eighth Fe site, Fe is bonded in a 12-coordinate geometry to two Sm and ten Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.42–2.75 Å. In the ninth Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, nine Fe, and one Si atom. There are a spread of Fe–Fe bond distances ranging from 2.42–2.76 Å. The Fe–Si bond length is 2.62 Å. In the tenth Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, nine Fe, and one Si atom. There are a spread of Fe–Fe bond distances ranging from 2.42–2.76 Å. The Fe–Si bond length is 2.62 Å. In the eleventh Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, nine Fe, and one Si atom. There are a spread of Fe–Fe bond distances ranging from 2.42–2.75 Å. The Fe–Si bond length is 2.51 Å. In the twelfth Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, eight Fe, and two Si atoms. There are a spread of Fe–Fe bond distances ranging from 2.42–2.75 Å. There are one shorter (2.51 Å) and one longer (2.61 Å) Fe–Si bond lengths. In the thirteenth Fe site, Fe is bonded to two Sm, nine Fe, and one Si atom to form distorted FeSm2Fe9Si cuboctahedra that share corners with four SiSm3Fe9 cuboctahedra, corners with ten FeSm3Fe7Si2 cuboctahedra, an edgeedge with one SiSm3Fe9 cuboctahedra, edges with five FeSm3Fe8Si cuboctahedra, faces with two SiSm3Fe9 cuboctahedra, and faces with eight FeSm2Fe8Si2 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.42–2.60 Å. The Fe–Si bond length is 2.41 Å. In the fourteenth Fe site, Fe is bonded to two Sm, nine Fe, and one Si atom to form distorted FeSm2Fe9Si cuboctahedra that share a cornercorner with one SiSm3Fe9 cuboctahedra, corners with thirteen FeSm3Fe8Si cuboctahedra, edges with two SiSm3Fe9 cuboctahedra, edges with four FeSm3Fe8Si cuboctahedra, a faceface with one SiSm3Fe9 cuboctahedra, and faces with nine FeSm2Fe8Si2 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.43–2.62 Å. The Fe–Si bond length is 2.42 Å. In the fifteenth Fe site, Fe is bonded to two Sm, eight Fe, and two Si atoms to form distorted FeSm2Fe8Si2 cuboctahedra that share a cornercorner with one SiSm3Fe9 cuboctahedra, corners with thirteen FeSm3Fe7Si2 cuboctahedra, edges with two SiSm3Fe9 cuboctahedra, edges with four FeSm3Fe8Si cuboctahedra, faces with two SiSm3Fe9 cuboctahedra, and faces with eight FeSm2Fe9Si cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.44–2.62 Å. There are one shorter (2.40 Å) and one longer (2.41 Å) Fe–Si bond lengths. In the sixteenth Fe site, Fe is bonded to two Sm, nine Fe, and one Si atom to form distorted FeSm2Fe9Si cuboctahedra that share corners with two SiSm3Fe9 cuboctahedra, corners with twelve FeSm3Fe8Si cuboctahedra, an edgeedge with one SiSm3Fe9 cuboctahedra, edges with five FeSm3Fe8Si cuboctahedra, a faceface with one SiSm3Fe9 cuboctahedra, and faces with nine FeSm2Fe9Si cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.43–2.61 Å. The Fe–Si bond length is 2.42 Å. In the seventeenth Fe site, Fe is bonded to two Sm and ten Fe atoms to form FeSm2Fe10 cuboctahedra that share corners with four SiSm3Fe9 cuboctahedra, corners with ten FeSm3Fe8Si cuboctahedra, an edgeedge with one SiSm3Fe9 cuboctahedra, edges with five FeSm3Fe7Si2 cuboctahedra, a faceface with one SiSm3Fe9 cuboctahedra, and faces with nine FeSm2Fe9Si cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.44–2.60 Å. In the eighteenth Fe site, Fe is bonded to two Sm, nine Fe, and one Si atom to form distorted FeSm2Fe9Si cuboctahedra that share corners with three SiSm3Fe9 cuboctahedra, corners with eleven FeSm3Fe7Si2 cuboctahedra, edges with two SiSm3Fe9 cuboctahedra, edges with four FeSm3Fe8Si cuboctahedra, faces with two SiSm3Fe9 cuboctahedra, and faces with eight FeSm2Fe9Si cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.42–2.61 Å. The Fe–Si bond length is 2.41 Å. In the nineteenth Fe site, Fe is bonded in a 2-coordinate geometry to one Sm and thirteen Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.36–2.62 Å. In the twentieth Fe site, Fe is bonded in a 2-coordinate geometry to one Sm and thirteen Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.37–2.63 Å. In the twenty-first Fe site, Fe is bonded in a 3-coordinate geometry to one Sm, twelve Fe, and one Si atom. Both Fe–Fe bond lengths are 2.63 Å. The Fe–Si bond length is 2.60 Å. In the twenty-second Fe site, Fe is bonded in a 4-coordinate geometry to one Sm, eleven Fe, and two Si atoms. The Fe–Fe bond length is 2.64 Å. Both Fe–Si bond lengths are 2.59 Å. In the twenty-third Fe site, Fe is bonded to three Sm and nine Fe atoms to form FeSm3Fe9 cuboctahedra that share corners with two equivalent SiSm3Fe9 cuboctahedra, corners with thirteen FeSm3Fe7Si2 cuboctahedra, edges with two SiSm3Fe9 cuboctahedra, edges with six FeSm3Fe8Si cuboctahedra, faces with two SiSm3Fe9 cuboctahedra, and faces with eight FeSm2Fe9Si cuboctahedra. There are one shorter (2.46 Å) and one longer (2.47 Å) Fe–Fe bond lengths. In the twenty-fourth Fe site, Fe is bonded to three Sm and nine Fe atoms to form FeSm3Fe9 cuboctahedra that share corners with fifteen FeSm2Fe9Si cuboctahedra, edges with three SiSm3Fe9 cuboctahedra, edges with five FeSm3Fe7Si2 cuboctahedra, faces with three SiSm3Fe9 cuboctahedra, and faces with seven FeSm2Fe9Si cuboctahedra. There are one shorter (2.45 Å) and one longer (2.48 Å) Fe–Fe bond lengths. In the twenty-fifth Fe site, Fe is bonded to three Sm and nine Fe atoms to form FeSm3Fe9 cuboctahedra that share corners with fifteen FeSm2Fe9Si cuboctahedra, edges with three SiSm3Fe9 cuboctahedra, edges with five FeSm3Fe8Si cuboctahedra, faces with three SiSm3Fe9 cuboctahedra, and faces with seven FeSm2Fe9Si cuboctahedra. There are one shorter (2.46 Å) and one longer (2.47 Å) Fe–Fe bond lengths. In the twenty-sixth Fe site, Fe is bonded to three Sm, eight Fe, and one Si atom to form FeSm3Fe8Si cuboctahedra that share corners with four SiSm3Fe9 cuboctahedra, corners with eleven FeSm2Fe9Si cuboctahedra, an edgeedge with one SiSm3Fe9 cuboctahedra, edges with seven FeSm3Fe8Si cuboctahedra, faces with two SiSm3Fe9 cuboctahedra, and faces with eight FeSm2Fe9Si cuboctahedra. The Fe–Si bond length is 2.46 Å. In the twenty-seventh Fe site, Fe is bonded to three Sm and nine Fe atoms to form FeSm3Fe9 cuboctahedra that share corners with three SiSm3Fe9 cuboctahedra, corners with twelve FeSm2Fe9Si cuboctahedra, an edgeedge with one SiSm3Fe9 cuboctahedra, edges with seven FeSm3Fe8Si cuboctahedra, a faceface with one SiSm3Fe9 cuboctahedra, and faces with nine FeSm2Fe9Si cuboctahedra. In the twenty-eighth Fe site, Fe is bonded to three Sm, eight Fe, and one Si atom to form distorted FeSm3Fe8Si cuboctahedra that share corners with three SiSm3Fe9 cuboctahedra, corners with twelve FeSm3Fe8Si cuboctahedra, an edgeedge with one SiSm3Fe9 cuboctahedra, edges with seven FeSm3Fe7Si2 cuboctahedra, a faceface with one SiSm3Fe9 cuboctahedra, and faces with nine FeSm2Fe9Si cuboctahedra. The Fe–Si bond length is 2.47 Å. In the twenty-ninth Fe site, Fe is bonded to three Sm, eight Fe, and one Si atom to form FeSm3Fe8Si cuboctahedra that share corners with five SiSm3Fe9 cuboctahedra, corners with ten FeSm2Fe9Si cuboctahedra, edges with eight FeSm3Fe7Si2 cuboctahedra, faces with two SiSm3Fe9 cuboctahedra, and faces with eight FeSm2Fe9Si cuboctahedra. The Fe–Si bond length is 2.46 Å. In the thirtieth Fe site, Fe is bonded to three Sm, seven Fe, and two Si atoms to form distorted FeSm3Fe7Si2 cuboctahedra that share corners with five SiSm3Fe9 cuboctahedra, corners with ten FeSm2Fe9Si cuboctahedra, edges with eight FeSm3Fe8Si cuboctahedra, faces with two SiSm3Fe9 cuboctahedra, and faces with eight FeSm2Fe9Si cuboctahedra. There are one shorter (2.47 Å) and one longer (2.48 Å) Fe–Si bond lengths. In the thirty-first Fe site, Fe is bonded to three Sm, eight Fe, and one Si atom to form distorted FeSm3Fe8Si cuboctahedra that share corners with four SiSm3Fe9 cuboctahedra, corners with eleven FeSm2Fe9Si cuboctahedra, edges with eight FeSm3Fe8Si cuboctahedra, a faceface with one SiSm3Fe9 cuboctahedra, and faces with nine FeSm2Fe9Si cuboctahedra. The Fe–Si bond length is 2.48 Å. There are three inequivalent Si sites. In the first Si site, Si is bonded to three Sm and nine Fe atoms to form SiSm3Fe9 cuboctahedra that share corners with two equivalent SiSm3Fe9 cuboctahedra, corners with thirteen FeSm2Fe9Si cuboctahedra, an edgeedge with one SiSm3Fe9 cuboctahedra, edges with seven FeSm2Fe9Si cuboctahedra, a faceface with one SiSm3Fe9 cuboctahedra, and faces with nine FeSm2Fe9Si cuboctahedra. In the second Si site, Si is bonded to three Sm and nine Fe atoms to form distorted SiSm3Fe9 cuboctahedra that share corners with two equivalent SiSm3Fe9 cuboctahedra, corners with thirteen FeSm2Fe9Si cuboctahedra, an edgeedge with one SiSm3Fe9 cuboctahedra, edges with seven FeSm2Fe9Si cuboctahedra, a faceface with one SiSm3Fe9 cuboctahedra, and faces with nine FeSm2Fe9Si cuboctahedra. In the third Si site, Si is bonded to three Sm and nine Fe atoms to form distorted SiSm3Fe9 cuboctahedra that share corners with fifteen FeSm3Fe8Si cuboctahedra, edges with two SiSm3Fe9 cuboctahedra, edges with six FeSm2Fe9Si cuboctahedra, faces with two SiSm3Fe9 cuboctahedra, and faces with eight FeSm2Fe9Si cuboctahedra.

36 MATERIALS SCIENCE↗