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Materials Data on Mn5Ni8Sn3 by Materials Project

Mn5Ni8Sn3 is Tungsten-derived structured and crystallizes in the trigonal R-3m space group. The structure is three-dimensional. there are four inequivalent Mn sites. In the first Mn site, Mn is bonded in a distorted body-centered cubic geometry to eight Ni and six Sn atoms. There are a spread of Mn–Ni bond distances ranging from 2.58–2.67 Å. There are three shorter (2.99 Å) and three longer (3.00 Å) Mn–Sn bond lengths. In the second Mn site, Mn is bonded in a distorted body-centered cubic geometry to eight Ni and three equivalent Sn atoms. There are a spread of Mn–Ni bond distances ranging from 2.44–2.64 Å. All Mn–Sn bond lengths are 3.00 Å. In the third Mn site, Mn is bonded in a body-centered cubic geometry to eight Ni atoms. There are two shorter (2.48 Å) and six longer (2.56 Å) Mn–Ni bond lengths. In the fourth Mn site, Mn is bonded in a distorted body-centered cubic geometry to eight Ni and six Sn atoms. There are a spread of Mn–Ni bond distances ranging from 2.58–2.67 Å. There are three shorter (2.99 Å) and three longer (3.00 Å) Mn–Sn bond lengths. There are five inequivalent Ni sites. In the first Ni site, Ni is bonded in a distorted body-centered cubic geometry to seven Mn and one Sn atom. There are a spread of Ni–Mn bond distances ranging from 2.44–2.59 Å. The Ni–Sn bond length is 2.63 Å. In the second Ni site, Ni is bonded in a distorted body-centered cubic geometry to four equivalent Mn and four Sn atoms. There are three shorter (2.58 Å) and one longer (2.63 Å) Ni–Sn bond lengths. In the third Ni site, Ni is bonded in a distorted body-centered cubic geometry to five Mn and three equivalent Sn atoms. All Ni–Sn bond lengths are 2.61 Å. In the fourth Ni site, Ni is bonded in a distorted body-centered cubic geometry to seven Mn and one Sn atom. The Ni–Sn bond length is 2.63 Å. In the fifth Ni site, Ni is bonded in a distorted body-centered cubic geometry to four Mn and four Sn atoms. All Ni–Sn bond lengths are 2.59 Å. There are two inequivalent Sn sites. In the first Sn site, Sn is bonded in a 8-coordinate geometry to six Mn and eight Ni atoms. In the second Sn site, Sn is bonded in a 8-coordinate geometry to six equivalent Mn and eight Ni atoms.

36 MATERIALS SCIENCE↗

Materials Data on YEr(SnPd2)2 by Materials Project

ErY(Pd2Sn)2 is Tungsten-derived structured and crystallizes in the trigonal R-3m space group. The structure is three-dimensional. Er is bonded in a body-centered cubic geometry to eight Pd and six equivalent Sn atoms. There are two shorter (2.92 Å) and six longer (2.94 Å) Er–Pd bond lengths. All Er–Sn bond lengths are 3.39 Å. Y is bonded in a body-centered cubic geometry to eight Pd and six equivalent Sn atoms. There are two shorter (2.94 Å) and six longer (2.95 Å) Y–Pd bond lengths. All Y–Sn bond lengths are 3.39 Å. There are six inequivalent Pd sites. In the first Pd site, Pd is bonded in a body-centered cubic geometry to three equivalent Er, one Y, and four equivalent Sn atoms. There are one shorter (2.92 Å) and three longer (2.95 Å) Pd–Sn bond lengths. In the second Pd site, Pd is bonded in a body-centered cubic geometry to one Er, three equivalent Y, and four equivalent Sn atoms. All Pd–Sn bond lengths are 2.94 Å. In the third Pd site, Pd is bonded in a body-centered cubic geometry to one Er, three equivalent Y, and four equivalent Sn atoms. All Pd–Sn bond lengths are 2.94 Å. In the fourth Pd site, Pd is bonded in a body-centered cubic geometry to three equivalent Er, one Y, and four equivalent Sn atoms. There are one shorter (2.92 Å) and three longer (2.95 Å) Pd–Sn bond lengths. In the fifth Pd site, Pd is bonded in a body-centered cubic geometry to three equivalent Er, one Y, and four equivalent Sn atoms. All Pd–Er bond lengths are 2.94 Å. The Pd–Y bond length is 2.94 Å. There are one shorter (2.92 Å) and three longer (2.95 Å) Pd–Sn bond lengths. In the sixth Pd site, Pd is bonded in a body-centered cubic geometry to one Er, three equivalent Y, and four equivalent Sn atoms. The Pd–Er bond length is 2.92 Å. All Pd–Y bond lengths are 2.95 Å. All Pd–Sn bond lengths are 2.94 Å. Sn is bonded in a distorted body-centered cubic geometry to three equivalent Er, three equivalent Y, and eight Pd atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li22(VSn)7 by Materials Project

Li22(VSn)7 crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. there are twenty-two inequivalent Li sites. In the first Li site, Li is bonded to four Li and four Sn atoms to form distorted LiLi4Sn4 tetrahedra that share corners with four LiLiV4Sn3 tetrahedra, edges with nine LiLi4Sn4 tetrahedra, and faces with three equivalent LiLi3Sn4 tetrahedra. There are one shorter (2.77 Å) and three longer (2.91 Å) Li–Li bond lengths. There are three shorter (2.82 Å) and one longer (2.87 Å) Li–Sn bond lengths. In the second Li site, Li is bonded in a 4-coordinate geometry to four Li, one V, and three equivalent Sn atoms. There are one shorter (2.79 Å) and three longer (2.88 Å) Li–Li bond lengths. The Li–V bond length is 2.99 Å. All Li–Sn bond lengths are 2.82 Å. In the third Li site, Li is bonded in a 4-coordinate geometry to four Li, one V, and three equivalent Sn atoms. There are one shorter (2.79 Å) and three longer (2.88 Å) Li–Li bond lengths. The Li–V bond length is 2.99 Å. All Li–Sn bond lengths are 2.82 Å. In the fourth Li site, Li is bonded in a 4-coordinate geometry to four Li, one V, and three equivalent Sn atoms. There are one shorter (2.84 Å) and three longer (2.89 Å) Li–Li bond lengths. The Li–V bond length is 3.02 Å. All Li–Sn bond lengths are 2.81 Å. In the fifth Li site, Li is bonded in a distorted trigonal non-coplanar geometry to three equivalent Sn atoms. All Li–Sn bond lengths are 2.86 Å. In the sixth Li site, Li is bonded in a distorted trigonal non-coplanar geometry to three equivalent Sn atoms. All Li–Sn bond lengths are 2.83 Å. In the seventh Li site, Li is bonded in a distorted trigonal non-coplanar geometry to three equivalent Sn atoms. All Li–Sn bond lengths are 2.82 Å. In the eighth Li site, Li is bonded in a distorted trigonal non-coplanar geometry to three equivalent Sn atoms. All Li–Sn bond lengths are 2.83 Å. In the ninth Li site, Li is bonded to one Li and four V atoms to form distorted LiLiV4 tetrahedra that share corners with nine LiLiV4 tetrahedra and faces with three equivalent LiLi3V3Sn tetrahedra. The Li–Li bond length is 2.98 Å. There are one shorter (2.84 Å) and three longer (2.88 Å) Li–V bond lengths. In the tenth Li site, Li is bonded to one Li, four V, and three equivalent Sn atoms to form distorted LiLiV4Sn3 tetrahedra that share corners with four LiLi4Sn4 tetrahedra, edges with six equivalent LiLiV4Sn3 tetrahedra, and faces with three equivalent LiLi3V3Sn tetrahedra. The Li–Li bond length is 3.01 Å. There are three shorter (2.88 Å) and one longer (2.90 Å) Li–V bond lengths. All Li–Sn bond lengths are 3.23 Å. In the eleventh Li site, Li is bonded in a 4-coordinate geometry to one Li, one V, and three equivalent Sn atoms. The Li–Li bond length is 2.85 Å. The Li–V bond length is 2.97 Å. All Li–Sn bond lengths are 2.91 Å. In the twelfth Li site, Li is bonded to one Li and four V atoms to form distorted LiLiV4 tetrahedra that share corners with nine LiLiV4 tetrahedra and faces with three equivalent LiLi3V3Sn tetrahedra. The Li–Li bond length is 2.99 Å. There are three shorter (2.88 Å) and one longer (2.89 Å) Li–V bond lengths. In the thirteenth Li site, Li is bonded in a 6-coordinate geometry to six V atoms. There are three shorter (2.80 Å) and three longer (2.84 Å) Li–V bond lengths. In the fourteenth Li site, Li is bonded in a 6-coordinate geometry to six V and three equivalent Sn atoms. All Li–V bond lengths are 2.81 Å. All Li–Sn bond lengths are 3.30 Å. In the fifteenth Li site, Li is bonded in a 11-coordinate geometry to eight Li, three equivalent V, and three equivalent Sn atoms. All Li–Li bond lengths are 2.84 Å. All Li–V bond lengths are 3.30 Å. All Li–Sn bond lengths are 3.30 Å. In the sixteenth Li site, Li is bonded in a 4-coordinate geometry to eight Li, three equivalent V, and three equivalent Sn atoms. All Li–Li bond lengths are 2.84 Å. All Li–V bond lengths are 3.32 Å. All Li–Sn bond lengths are 3.29 Å. In the seventeenth Li site, Li is bonded in a 11-coordinate geometry to eight Li and six Sn atoms. All Li–Li bond lengths are 2.82 Å. There are three shorter (3.19 Å) and three longer (3.35 Å) Li–Sn bond lengths. In the eighteenth Li site, Li is bonded in a 11-coordinate geometry to eight Li, three equivalent V, and three equivalent Sn atoms. All Li–Li bond lengths are 2.84 Å. All Li–V bond lengths are 3.30 Å. All Li–Sn bond lengths are 3.30 Å. In the nineteenth Li site, Li is bonded to three equivalent Li and four Sn atoms to form distorted LiLi3Sn4 tetrahedra that share corners with four LiLi4Sn4 tetrahedra, edges with six equivalent LiLi3Sn4 tetrahedra, and faces with three equivalent LiLi4Sn4 tetrahedra. There are three shorter (2.81 Å) and one longer (2.89 Å) Li–Sn bond lengths. In the twentieth Li site, Li is bonded to three equivalent Li, three equivalent V, and one Sn atom to form distorted LiLi3V3Sn tetrahedra that share corners with four LiLiV4 tetrahedra, edges with six equivalent LiLi3V3Sn tetrahedra, and faces with three equivalent LiLiV4 tetrahedra. All Li–V bond lengths are 2.86 Å. The Li–Sn bond length is 2.85 Å. In the twenty-first Li site, Li is bonded to three equivalent Li, three equivalent V, and one Sn atom to form distorted LiLi3V3Sn tetrahedra that share corners with four LiLiV4 tetrahedra, edges with six equivalent LiLi3V3Sn tetrahedra, and faces with three equivalent LiLiV4 tetrahedra. All Li–V bond lengths are 2.86 Å. The Li–Sn bond length is 2.85 Å. In the twenty-second Li site, Li is bonded to three equivalent Li, three equivalent V, and one Sn atom to form distorted LiLi3V3Sn tetrahedra that share corners with four LiLiV4Sn3 tetrahedra, edges with nine LiLi4Sn4 tetrahedra, and faces with three equivalent LiLiV4Sn3 tetrahedra. All Li–V bond lengths are 2.87 Å. The Li–Sn bond length is 2.83 Å. There are seven inequivalent V sites. In the first V site, V is bonded in a distorted body-centered cubic geometry to four Li and four Sn atoms. There are one shorter (2.76 Å) and three longer (2.87 Å) V–Sn bond lengths. In the second V site, V is bonded in a distorted body-centered cubic geometry to four Li and four Sn atoms. There are one shorter (2.77 Å) and three longer (2.90 Å) V–Sn bond lengths. In the third V site, V is bonded in a distorted body-centered cubic geometry to four Li and four Sn atoms. There are one shorter (2.78 Å) and three longer (2.87 Å) V–Sn bond lengths. In the fourth V site, V is bonded in a distorted body-centered cubic geometry to four Li and four Sn atoms. There are one shorter (2.77 Å) and three longer (2.89 Å) V–Sn bond lengths. In the fifth V site, V is bonded in a distorted body-centered cubic geometry to ten Li and one Sn atom. The V–Sn bond length is 2.86 Å. In the sixth V site, V is bonded in a distorted body-centered cubic geometry to ten Li and one Sn atom. The V–Sn bond length is 2.86 Å. In the seventh V site, V is bonded in a distorted body-centered cubic geometry to ten Li and one Sn atom. The V–Sn bond length is 2.85 Å. There are seven inequivalent Sn sites. In the first Sn site, Sn is bonded in a body-centered cubic geometry to fourteen Li atoms. In the second Sn site, Sn is bonded in a body-centered cubic geometry to fourteen Li atoms. In the third Sn site, Sn is bonded in a 7-coordinate geometry to three equivalent Li and four V atoms. In the fourth Sn site, Sn is bonded in a 8-coordinate geometry to three equivalent Li and five V atoms. In the fifth Sn site, Sn is bonded in a 8-coordinate geometry to three equivalent Li and five V atoms. In the sixth Sn site, Sn is bonded in a 8-coordinate geometry to nine Li and five V atoms. In the seventh Sn site, Sn is bonded in a 7-coordinate geometry to ten Li atoms.

36 MATERIALS SCIENCE↗

Materials Data on VGa2FeCo4 by Materials Project

VFeCo4Ga2 is Tungsten-derived structured and crystallizes in the trigonal R-3m space group. The structure is three-dimensional. V is bonded in a body-centered cubic geometry to eight Co atoms. There are two shorter (2.47 Å) and six longer (2.48 Å) V–Co bond lengths. Fe is bonded in a body-centered cubic geometry to eight Co atoms. There are six shorter (2.49 Å) and two longer (2.50 Å) Fe–Co bond lengths. There are six inequivalent Co sites. In the first Co site, Co is bonded in a body-centered cubic geometry to one V, three equivalent Fe, and four equivalent Ga atoms. There are three shorter (2.48 Å) and one longer (2.49 Å) Co–Ga bond lengths. In the second Co site, Co is bonded in a distorted body-centered cubic geometry to three equivalent V, one Fe, and four equivalent Ga atoms. The Co–Fe bond length is 2.50 Å. There are one shorter (2.47 Å) and three longer (2.50 Å) Co–Ga bond lengths. In the third Co site, Co is bonded in a distorted body-centered cubic geometry to three equivalent V, one Fe, and four equivalent Ga atoms. There are one shorter (2.47 Å) and three longer (2.50 Å) Co–Ga bond lengths. In the fourth Co site, Co is bonded in a body-centered cubic geometry to one V, three equivalent Fe, and four equivalent Ga atoms. All Co–Fe bond lengths are 2.49 Å. There are three shorter (2.48 Å) and one longer (2.49 Å) Co–Ga bond lengths. In the fifth Co site, Co is bonded in a distorted body-centered cubic geometry to three equivalent V, one Fe, and four equivalent Ga atoms. All Co–V bond lengths are 2.48 Å. There are one shorter (2.47 Å) and three longer (2.50 Å) Co–Ga bond lengths. In the sixth Co site, Co is bonded in a body-centered cubic geometry to one V, three equivalent Fe, and four equivalent Ga atoms. The Co–V bond length is 2.47 Å. There are three shorter (2.48 Å) and one longer (2.49 Å) Co–Ga bond lengths. Ga is bonded in a distorted body-centered cubic geometry to eight Co atoms.

36 MATERIALS SCIENCE↗

Materials Data on InAs4Pd15 by Materials Project

Pd15InAs4 crystallizes in the trigonal R-3m space group. The structure is three-dimensional. there are nine inequivalent Pd sites. In the first Pd site, Pd is bonded in a distorted body-centered cubic geometry to four Pd and four equivalent As atoms. There are three shorter (2.72 Å) and one longer (2.74 Å) Pd–Pd bond lengths. There are one shorter (2.69 Å) and three longer (2.74 Å) Pd–As bond lengths. In the second Pd site, Pd is bonded in a 8-coordinate geometry to four Pd, one In, and three equivalent As atoms. There are one shorter (2.71 Å) and three longer (2.79 Å) Pd–Pd bond lengths. The Pd–In bond length is 2.83 Å. All Pd–As bond lengths are 2.72 Å. In the third Pd site, Pd is bonded in a distorted body-centered cubic geometry to four Pd and four As atoms. There are three shorter (2.71 Å) and one longer (2.76 Å) Pd–Pd bond lengths. There are one shorter (2.68 Å) and three longer (2.74 Å) Pd–As bond lengths. In the fourth Pd site, Pd is bonded in a distorted body-centered cubic geometry to four Pd and four equivalent As atoms. There are three shorter (2.72 Å) and one longer (2.74 Å) Pd–Pd bond lengths. There are one shorter (2.69 Å) and three longer (2.74 Å) Pd–As bond lengths. In the fifth Pd site, Pd is bonded in a 8-coordinate geometry to four equivalent Pd, three equivalent In, and one As atom. There are three shorter (2.66 Å) and one longer (2.81 Å) Pd–Pd bond lengths. All Pd–In bond lengths are 2.78 Å. The Pd–As bond length is 2.65 Å. In the sixth Pd site, Pd is bonded in a distorted body-centered cubic geometry to four Pd and four As atoms. There are three shorter (2.77 Å) and one longer (2.78 Å) Pd–Pd bond lengths. There are three shorter (2.70 Å) and one longer (2.81 Å) Pd–As bond lengths. In the seventh Pd site, Pd is bonded in a 11-coordinate geometry to eight Pd and three equivalent In atoms. All Pd–In bond lengths are 3.11 Å. In the eighth Pd site, Pd is bonded in a distorted body-centered cubic geometry to eight Pd and six As atoms. There are three shorter (3.14 Å) and three longer (3.16 Å) Pd–As bond lengths. In the ninth Pd site, Pd is bonded in a distorted body-centered cubic geometry to eight Pd atoms. In is bonded in a distorted body-centered cubic geometry to fourteen Pd atoms. There are two inequivalent As sites. In the first As site, As is bonded in a body-centered cubic geometry to eleven Pd atoms. In the second As site, As is bonded in a distorted body-centered cubic geometry to eleven Pd atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn4Co11Ge5 by Materials Project

Mn4Co11Ge5 is Heusler-like structured and crystallizes in the trigonal R-3m space group. The structure is three-dimensional. there are two inequivalent Mn sites. In the first Mn site, Mn is bonded in a distorted body-centered cubic geometry to eight Co and three equivalent Ge atoms. All Mn–Co bond lengths are 2.48 Å. All Mn–Ge bond lengths are 2.87 Å. In the second Mn site, Mn is bonded in a distorted body-centered cubic geometry to eight Co and six Ge atoms. There are one shorter (2.47 Å) and seven longer (2.48 Å) Mn–Co bond lengths. There are three shorter (2.86 Å) and three longer (2.87 Å) Mn–Ge bond lengths. There are six inequivalent Co sites. In the first Co site, Co is bonded in a body-centered cubic geometry to four Mn and four Ge atoms. There are three shorter (2.48 Å) and one longer (2.49 Å) Co–Ge bond lengths. In the second Co site, Co is bonded in a body-centered cubic geometry to four Mn and four Ge atoms. All Co–Ge bond lengths are 2.48 Å. In the third Co site, Co is bonded in a body-centered cubic geometry to four equivalent Mn and four Ge atoms. All Co–Ge bond lengths are 2.48 Å. In the fourth Co site, Co is bonded in a 8-coordinate geometry to one Mn, three equivalent Co, and four equivalent Ge atoms. All Co–Co bond lengths are 2.48 Å. There are one shorter (2.46 Å) and three longer (2.48 Å) Co–Ge bond lengths. In the fifth Co site, Co is bonded in a distorted body-centered cubic geometry to three equivalent Mn, one Co, and four Ge atoms. The Co–Co bond length is 2.47 Å. All Co–Ge bond lengths are 2.48 Å. In the sixth Co site, Co is bonded in a 8-coordinate geometry to eight Co and six equivalent Ge atoms. All Co–Ge bond lengths are 2.86 Å. There are three inequivalent Ge sites. In the first Ge site, Ge is bonded in a distorted body-centered cubic geometry to six Mn and eight Co atoms. In the second Ge site, Ge is bonded in a distorted body-centered cubic geometry to six equivalent Mn and eight Co atoms. In the third Ge site, Ge is bonded in a distorted body-centered cubic geometry to eleven Co atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn9Al4V3 by Materials Project

V3Mn9Al4 is Heusler-like structured and crystallizes in the trigonal R-3m space group. The structure is three-dimensional. there are two inequivalent V sites. In the first V site, V is bonded in a body-centered cubic geometry to eight Mn atoms. There are a spread of V–Mn bond distances ranging from 2.51–2.53 Å. In the second V site, V is bonded in a body-centered cubic geometry to eight Mn atoms. There are two shorter (2.51 Å) and six longer (2.52 Å) V–Mn bond lengths. There are five inequivalent Mn sites. In the first Mn site, Mn is bonded in a body-centered cubic geometry to four V and four Al atoms. There are three shorter (2.52 Å) and one longer (2.54 Å) Mn–Al bond lengths. In the second Mn site, Mn is bonded in a body-centered cubic geometry to four V and four equivalent Al atoms. All Mn–Al bond lengths are 2.52 Å. In the third Mn site, Mn is bonded in a distorted body-centered cubic geometry to three equivalent V, one Mn, and four Al atoms. The Mn–Mn bond length is 2.50 Å. All Mn–Al bond lengths are 2.52 Å. In the fourth Mn site, Mn is bonded in a distorted body-centered cubic geometry to one V, three equivalent Mn, and four equivalent Al atoms. All Mn–Mn bond lengths are 2.51 Å. There are one shorter (2.49 Å) and three longer (2.51 Å) Mn–Al bond lengths. In the fifth Mn site, Mn is bonded in a distorted body-centered cubic geometry to eight Mn and six equivalent Al atoms. All Mn–Al bond lengths are 2.89 Å. There are two inequivalent Al sites. In the first Al site, Al is bonded in a body-centered cubic geometry to eight Mn atoms. In the second Al site, Al is bonded in a distorted body-centered cubic geometry to eleven Mn atoms.

36 MATERIALS SCIENCE↗

Systems for passive microwave remote sensing and their calibration methods

A system for passive microwave remote sensing using at least one microwave radiometer includes a fixed body portion, the fixed body portion being configured to attach to a mobile platform, and a mobile body portion, the mobile body portion being configured for rotatably coupling with the fixed body portion for rotation about a rotation axis. The mobile body portion is configured for supporting the at least one microwave radiometer therein such that the at least one microwave radiometer rotates about the rotation axis when the mobile body portion is rotated about the rotation axis such that a polarization axis of the at least one radiometer is aligned with an earth axis. The fixed body portion includes a motor mechanism for effecting rotation of the mobile body portion such that the at least one microwave radiometer provides a vertical scanning below and above the mobile platform.

Klein, Marian↗

Variational Monte Carlo Calculations of A ≤ 4 Nuclei with an Artificial Neural-Network Correlator Ansatz

Here, the complexity of many-body quantum wave functions is a central aspect of several fields of physics and chemistry where nonperturbative interactions are prominent. Artificial neural networks (ANNs) have proven to be a flexible tool to approximate quantum many-body states in condensed matter and chemistry problems. In this work we introduce a neural-network quantum state ansatz to model the ground-state wave function of light nuclei, and approximately solve the nuclear many-body Schrodinger equation. Using efficient stochastic sampling and optimization schemes, our approach extends pioneering applications of ANNs in the field, which present exponentially scaling algorithmic complexity. We compute the binding energies and point-nucleon densities of A ≤ 4 nuclei as emerging from a leading-order pionless effective field theory Hamiltonian. We successfully benchmark the ANN wave function against more conventional parametrizations based on two- and three-body Jastrow functions, and virtually exact Green's function Monte Carlo results.

73 NUCLEAR PHYSICS AND RADIATION PHYSICS↗

The 300 Marines: characterizing the US Marines with perfect scores on their physical and combat fitness tests

Few US Marines earn perfect 300 scores on both their Physical Fitness Test (PFT) and Combat Fitness Test (CFT). The number 300 invokes the legendary 300 Spartans that fought at the Battle of Thermopylae, which inspired high physical fitness capabilities for elite ground forces ever since. Purpose: Determine distinguishing characteristics of the “300 Marines” (perfect PFT and CFT scores) that may provide insights into the physical and physiological requirements associated with this capability. These tests have been refined over time to reflect physical capabilities associated with Marine Corps basic rifleman performance. Materials and methods: Data were analyzed from US Marines, including 497 women (age, 29 ± 7 years; height 1.63 ± 0.07 m; body mass, 67.4 ± 8.4 kg) and 1,224 men (30 ± 8 years; 1.77 ± 0.07 m; 86.1 ± 11.1 kg). Marines were grouped by whether they earned perfect 300 scores on both the PFT and CFT (300 Marines) or not. We analyzed group differences in individual fitness test events and body composition (dual-energy x-ray absorptiometry). Results: Only 2.5% (n = 43) of this sample earned perfect PFT and CFT scores (n = 21 women; n = 22 men). Compared to sex-matched peers, 300 Marines performed more pull-ups, with faster three-mile run, maneuver-under-fire, and movement-to-contact times (each p < 0.001); 300 Marines of both sexes had lower fat mass, body mass index, and percent body fat (each p < 0.001). The lower percent body fat was explained by greater lean mass (p = 0.041) but similar body mass (p = 0.085) in women, whereas men had similar lean mass (p = 0.618), but lower total body mass (p = 0.025). Conclusion: Marines earning perfect PFT and CFT scores are most distinguished from their peers by their maneuverability, suggesting speed and agility capabilities. While both sexes had considerably lower percent body fat than their peers, 300 Marine women were relatively more muscular while men were lighter.

60 APPLIED LIFE SCIENCES↗

Rubidium and potassium isotopic variations in chondrites and Mars: Accretion signatures and planetary overprints

As moderately volatile elements, isotopes of Rb and K can trace volatilization processes in planetary bodies. Rubidium isotopic data are however very scarce, especially for non-carbonaceous meteorites. Here, in this study, we report combined Rb and K isotopic data (δ 87/85 Rb and δ 41/39 Κ) for 7 ordinary, 6 enstatite, and 4 Martian meteorite falls to understand the causes for the variations in volatile abundances and isotopic compositions. Bulk Rb and K isotopic compositions of planetary bodies are estimated to be (Table 1): Mars +0.10 ± 0.03 ‰ for Rb and -0.26 ± 0.05 ‰ for K, bulk OCs $-0.12^{+0.15}_{-0.24}$ ‰ for Rb and $-0.72^{+0.28}_{-0.41}$ ‰ for K, bulk ECs $-0.02^{+0.29}_{-0.26}$ ‰ for Rb and $-0.33^{+0.37}_{-0.23}$ ‰ for K. The bulk K isotopic compositions of subgroup OCs are estimated to be $-0.72^{+0.26}_{-0.55}$ ‰ for H chondrites, $-0.71^{+0.23}_{-0.39}$ ‰ for L chondrites, and $-0.77^{+0.63}_{-0.30}$ ‰ for LL chondrites. A broad correlation between the Rb and K isotopic compositions of planetary bodies is observed. The correlation follows a slope that is consistent with kinetic evaporation and condensation processes, suggesting volatility-controlled mass-dependent isotope fractionation (as opposed to nucleosynthetic anomalies). Individual ordinary and enstatite chondrites show large Rb and K isotopic variations (-1.02 to +0.29 ‰ for Rb and -0.91 to -0.15 ‰ for K). Samples of lower metamorphic grades display correlated elemental and isotopic fractionations between Rb and K, while samples of higher metamorphic grades show great scatter, suggesting that chondrite parent-body processes have decoupled the two elements and their isotopes at the sample scale. Several processes could have contributed to the observed isotopic variations of Rb and K, including (i) chondrule “nugget effect”, (ii) volatilization during parent-body thermal metamorphism (heat-induced vaporization and gas transport within parent bodies), (iii) thermal diffusion during parent-body metamorphism, and (iv) impact/shock heating. Quantitative modeling of the first two processes suggests that neither of them could produce isotopic variations large enough to explain the observed isotopic variations. Volatilization during parent-body thermal metamorphism [the scenario (ii)], which has been commonly invoked to explain the isotopic variations of volatile elements, is gas transport-limited and its effect on isotopic fractionations of moderately volatile elements should be negligible. Modeling of diffusion processes suggests that (iii) could produce K isotopic variation comparable to the observed variation. The large isotopic variations in non-carbonaceous meteorites are thus most likely due to diffusive redistribution of K and Rb during metamorphism and/or shock-induced heating and vaporization.

58 GEOSCIENCES↗

Materials Data on KO3 by Materials Project

KO3 crystallizes in the tetragonal I4/mcm space group. The structure is three-dimensional. there are eight inequivalent K sites. In the first K site, K is bonded in a distorted body-centered cubic geometry to eight equivalent O atoms. All K–O bond lengths are 2.91 Å. In the second K site, K is bonded in a distorted body-centered cubic geometry to eight equivalent O atoms. All K–O bond lengths are 2.91 Å. In the third K site, K is bonded in a distorted body-centered cubic geometry to eight equivalent O atoms. All K–O bond lengths are 2.92 Å. In the fourth K site, K is bonded in a distorted body-centered cubic geometry to eight equivalent O atoms. All K–O bond lengths are 2.92 Å. In the fifth K site, K is bonded in a distorted body-centered cubic geometry to eight equivalent O atoms. All K–O bond lengths are 2.91 Å. In the sixth K site, K is bonded in a distorted body-centered cubic geometry to eight equivalent O atoms. All K–O bond lengths are 2.91 Å. In the seventh K site, K is bonded in a distorted body-centered cubic geometry to eight equivalent O atoms. All K–O bond lengths are 2.92 Å. In the eighth K site, K is bonded in a distorted body-centered cubic geometry to eight equivalent O atoms. All K–O bond lengths are 2.92 Å. There are nine inequivalent O sites. In the first O site, O is bonded to four K and one O atom to form a mixture of distorted face, edge, and corner-sharing OK4O square pyramids. The O–O bond length is 1.37 Å. In the second O site, O is bonded in a bent 120 degrees geometry to two equivalent O atoms. Both O–O bond lengths are 1.37 Å. In the third O site, O is bonded in a bent 120 degrees geometry to two equivalent O atoms. Both O–O bond lengths are 1.37 Å. In the fourth O site, O is bonded in a bent 120 degrees geometry to two equivalent O atoms. Both O–O bond lengths are 1.37 Å. In the fifth O site, O is bonded in a bent 120 degrees geometry to two equivalent O atoms. In the sixth O site, O is bonded in a bent 120 degrees geometry to two equivalent O atoms. Both O–O bond lengths are 1.37 Å. In the seventh O site, O is bonded in a bent 120 degrees geometry to two equivalent O atoms. Both O–O bond lengths are 1.37 Å. In the eighth O site, O is bonded in a bent 120 degrees geometry to two equivalent O atoms. Both O–O bond lengths are 1.37 Å. In the ninth O site, O is bonded in a bent 120 degrees geometry to two equivalent O atoms. Both O–O bond lengths are 1.37 Å.

36 MATERIALS SCIENCE↗

Materials Data on Li18Fe5N12 by Materials Project

Li18Fe5N12 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are eighteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four N+2.67- atoms to form LiN4 tetrahedra that share corners with five FeN4 tetrahedra, corners with nine LiN4 tetrahedra, an edgeedge with one FeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.09–2.19 Å. In the second Li1+ site, Li1+ is bonded to four N+2.67- atoms to form distorted LiN4 tetrahedra that share corners with four FeN4 tetrahedra, corners with six LiN4 tetrahedra, an edgeedge with one FeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 1.99–2.19 Å. In the third Li1+ site, Li1+ is bonded to four N+2.67- atoms to form distorted LiN4 tetrahedra that share corners with three FeN4 tetrahedra, corners with nine LiN4 tetrahedra, edges with two FeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 1.98–2.12 Å. In the fourth Li1+ site, Li1+ is bonded to four N+2.67- atoms to form distorted LiN4 tetrahedra that share corners with five FeN4 tetrahedra, corners with seven LiN4 tetrahedra, an edgeedge with one FeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.00–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to four N+2.67- atoms to form LiN4 tetrahedra that share corners with four LiN4 tetrahedra, corners with four FeN4 tetrahedra, an edgeedge with one FeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.03–2.11 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N+2.67- atoms. There are a spread of Li–N bond distances ranging from 1.99–2.38 Å. In the seventh Li1+ site, Li1+ is bonded to four N+2.67- atoms to form LiN4 tetrahedra that share corners with five FeN4 tetrahedra, corners with nine LiN4 tetrahedra, an edgeedge with one FeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.10–2.23 Å. In the eighth Li1+ site, Li1+ is bonded in a 2-coordinate geometry to four N+2.67- atoms. There are a spread of Li–N bond distances ranging from 1.97–2.51 Å. In the ninth Li1+ site, Li1+ is bonded to four N+2.67- atoms to form distorted LiN4 tetrahedra that share corners with four FeN4 tetrahedra, corners with twelve LiN4 tetrahedra, edges with two LiN4 tetrahedra, and edges with two FeN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.10–2.12 Å. In the tenth Li1+ site, Li1+ is bonded in a distorted bent 120 degrees geometry to four N+2.67- atoms. There are a spread of Li–N bond distances ranging from 1.96–2.48 Å. In the eleventh Li1+ site, Li1+ is bonded to four N+2.67- atoms to form LiN4 tetrahedra that share corners with five FeN4 tetrahedra, corners with nine LiN4 tetrahedra, an edgeedge with one FeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.09–2.20 Å. In the twelfth Li1+ site, Li1+ is bonded to four N+2.67- atoms to form distorted LiN4 tetrahedra that share corners with two FeN4 tetrahedra, corners with ten LiN4 tetrahedra, edges with two LiN4 tetrahedra, and edges with two FeN4 tetrahedra. There are a spread of Li–N bond distances ranging from 1.99–2.08 Å. In the thirteenth Li1+ site, Li1+ is bonded to four N+2.67- atoms to form LiN4 tetrahedra that share corners with six LiN4 tetrahedra, corners with six FeN4 tetrahedra, an edgeedge with one FeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.11–2.14 Å. In the fourteenth Li1+ site, Li1+ is bonded to four N+2.67- atoms to form LiN4 tetrahedra that share corners with four FeN4 tetrahedra, corners with six LiN4 tetrahedra, an edgeedge with one FeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 1.99–2.17 Å. In the fifteenth Li1+ site, Li1+ is bonded to four N+2.67- atoms to form distorted LiN4 tetrahedra that share corners with three FeN4 tetrahedra, corners with nine LiN4 tetrahedra, edges with two FeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 1.99–2.12 Å. In the sixteenth Li1+ site, Li1+ is bonded to four N+2.67- atoms to form distorted LiN4 tetrahedra that share corners with five FeN4 tetrahedra, corners with seven LiN4 tetrahedra, an edgeedge with one FeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.01–2.24 Å. In the seventeenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N+2.67- atoms. There are a spread of Li–N bond distances ranging from 2.00–2.38 Å. In the eighteenth Li1+ site, Li1+ is bonded to four N+2.67- atoms to form distorted LiN4 tetrahedra that share corners with five FeN4 tetrahedra, corners with nine LiN4 tetrahedra, an edgeedge with one FeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.09–2.27 Å. There are five inequivalent Fe+2.80+ sites. In the first Fe+2.80+ site, Fe+2.80+ is bonded to four N+2.67- atoms to form FeN4 tetrahedra that share corners with ten LiN4 tetrahedra, an edgeedge with one FeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Fe–N bond distances ranging from 1.83–1.94 Å. In the second Fe+2.80+ site, Fe+2.80+ is bonded to four N+2.67- atoms to form FeN4 tetrahedra that share corners with fourteen LiN4 tetrahedra, edges with two FeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Fe–N bond distances ranging from 1.87–1.92 Å. In the third Fe+2.80+ site, Fe+2.80+ is bonded to four N+2.67- atoms to form FeN4 tetrahedra that share corners with ten LiN4 tetrahedra, an edgeedge with one FeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Fe–N bond distances ranging from 1.82–1.94 Å. In the fourth Fe+2.80+ site, Fe+2.80+ is bonded to four N+2.67- atoms to form distorted FeN4 tetrahedra that share corners with twelve LiN4 tetrahedra, edges with two FeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Fe–N bond distances ranging from 1.89–1.93 Å. In the fifth Fe+2.80+ site, Fe+2.80+ is bonded to four N+2.67- atoms to form FeN4 tetrahedra that share corners with fourteen LiN4 tetrahedra, edges with two FeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Fe–N bond distances ranging from 1.87–1.93 Å. There are twelve inequivalent N+2.67- sites. In the first N+2.67- site, N+2.67- is bonded in a body-centered cubic geometry to six Li1+ and two Fe+2.80+ atoms. In the second N+2.67- site, N+2.67- is bonded in a 7-coordinate geometry to six Li1+ and one Fe+2.80+ atom. In the third N+2.67- site, N+2.67- is bonded in a 7-coordinate geometry to six Li1+ and one Fe+2.80+ atom. In the fourth N+2.67- site, N+2.67- is bonded in a distorted body-centered cubic geometry to six Li1+ and two Fe+2.80+ atoms. In the fifth N+2.67- site, N+2.67- is bonded in a distorted body-centered cubic geometry to six Li1+ and two Fe+2.80+ atoms. In the sixth N+2.67- site, N+2.67- is bonded in a 7-coordinate geometry to six Li1+ and one Fe+2.80+ atom. In the seventh N+2.67- site, N+2.67- is bonded in a distorted body-centered cubic geometry to six Li1+ and two Fe+2.80+ atoms. In the eighth N+2.67- site, N+2.67- is bonded in a distorted body-centered cubic geometry to six Li1+ and two Fe+2.80+ atoms. In the ninth N+2.67- site, N+2.67- is bonded in a distorted body-centered cubic geometry to six Li1+ and two Fe+2.80+ atoms. In the tenth N+2.67- site, N+2.67- is bonded in a body-centered cubic geometry to six Li1+ and two Fe+2.80+ atoms. In the eleventh N+2.67- site, N+2.67- is bonded in a distorted body-centered cubic geometry to six Li1+ and two Fe+2.80+ atoms. In the twelfth N+2.67- site, N+2.67- is bonded in a 7-coordinate geometry to six Li1+ and one Fe+2.80+ atom.

36 MATERIALS SCIENCE↗

Materials Data on CuAu by Materials Project

AuCu crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are five inequivalent Au1- sites. In the first Au1- site, Au1- is bonded in a 12-coordinate geometry to four Au1- and eight Cu1+ atoms. There are two shorter (2.82 Å) and two longer (2.84 Å) Au–Au bond lengths. There are a spread of Au–Cu bond distances ranging from 2.70–2.86 Å. In the second Au1- site, Au1- is bonded in a distorted body-centered cubic geometry to two equivalent Au1- and eight Cu1+ atoms. There are a spread of Au–Cu bond distances ranging from 2.72–2.80 Å. In the third Au1- site, Au1- is bonded in a distorted body-centered cubic geometry to eight Cu1+ atoms. There are a spread of Au–Cu bond distances ranging from 2.72–2.74 Å. In the fourth Au1- site, Au1- is bonded in a distorted body-centered cubic geometry to eight Cu1+ atoms. There are two shorter (2.72 Å) and six longer (2.73 Å) Au–Cu bond lengths. In the fifth Au1- site, Au1- is bonded in a distorted body-centered cubic geometry to eight Cu1+ atoms. There are two shorter (2.72 Å) and six longer (2.73 Å) Au–Cu bond lengths. There are five inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded in a 8-coordinate geometry to eight Au1- atoms. In the second Cu1+ site, Cu1+ is bonded in a body-centered cubic geometry to eight Au1- atoms. In the third Cu1+ site, Cu1+ is bonded in a body-centered cubic geometry to eight Au1- atoms. In the fourth Cu1+ site, Cu1+ is bonded in a body-centered cubic geometry to eight Au1- atoms. In the fifth Cu1+ site, Cu1+ is bonded in a body-centered cubic geometry to eight Au1- atoms.

36 MATERIALS SCIENCE↗

Materials Data on U17O31 by Materials Project

U17O31 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are seventeen inequivalent U+3.65+ sites. In the first U+3.65+ site, U+3.65+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.34–2.44 Å. In the second U+3.65+ site, U+3.65+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of U–O bond distances ranging from 2.28–2.37 Å. In the third U+3.65+ site, U+3.65+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of U–O bond distances ranging from 2.28–2.39 Å. In the fourth U+3.65+ site, U+3.65+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.35–2.53 Å. In the fifth U+3.65+ site, U+3.65+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.33–2.47 Å. In the sixth U+3.65+ site, U+3.65+ is bonded to seven O2- atoms to form distorted edge-sharing UO7 hexagonal pyramids. There are a spread of U–O bond distances ranging from 2.29–2.39 Å. In the seventh U+3.65+ site, U+3.65+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of U–O bond distances ranging from 2.23–2.36 Å. In the eighth U+3.65+ site, U+3.65+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.32–2.44 Å. In the ninth U+3.65+ site, U+3.65+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.34–2.56 Å. In the tenth U+3.65+ site, U+3.65+ is bonded to seven O2- atoms to form a mixture of distorted corner and edge-sharing UO7 hexagonal pyramids. There are a spread of U–O bond distances ranging from 2.28–2.38 Å. In the eleventh U+3.65+ site, U+3.65+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.33–2.45 Å. In the twelfth U+3.65+ site, U+3.65+ is bonded to seven O2- atoms to form a mixture of distorted corner and edge-sharing UO7 hexagonal pyramids. There are a spread of U–O bond distances ranging from 2.30–2.38 Å. In the thirteenth U+3.65+ site, U+3.65+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of U–O bond distances ranging from 2.25–2.33 Å. In the fourteenth U+3.65+ site, U+3.65+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.33–2.48 Å. In the fifteenth U+3.65+ site, U+3.65+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.33–2.49 Å. In the sixteenth U+3.65+ site, U+3.65+ is bonded to seven O2- atoms to form distorted edge-sharing UO7 hexagonal pyramids. There are a spread of U–O bond distances ranging from 2.29–2.38 Å. In the seventeenth U+3.65+ site, U+3.65+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of U–O bond distances ranging from 2.25–2.34 Å. There are thirty-one inequivalent O2- sites. In the first O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of distorted corner and edge-sharing OU4 tetrahedra. In the second O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the third O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the fourth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the fifth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the sixth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the seventh O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the eighth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of distorted corner and edge-sharing OU4 tetrahedra. In the ninth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the tenth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the eleventh O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the twelfth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of distorted corner and edge-sharing OU4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the twentieth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of distorted corner and edge-sharing OU4 tetrahedra. In the twenty-first O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the twenty-second O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the twenty-third O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the twenty-seventh O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the thirtieth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the thirty-first O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Nd2Zr8O19 by Materials Project

Nd2Zr8O19 is alpha bismuth trifluoride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nd–O bond distances ranging from 2.24–2.36 Å. In the second Nd3+ site, Nd3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing NdO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Nd–O bond distances ranging from 2.15–2.58 Å. There are eight inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.11–2.37 Å. In the second Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.16–2.30 Å. In the third Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.18–2.35 Å. In the fourth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.17–2.30 Å. In the fifth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.14–2.28 Å. In the sixth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.19–2.29 Å. In the seventh Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.17–2.33 Å. In the eighth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.31 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the ninth O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr4+ atoms to form a mixture of edge and corner-sharing ONd2Zr2 tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr4+ atoms to form a mixture of edge and corner-sharing ONd2Zr2 tetrahedra. In the eleventh O2- site, O2- is bonded to four Nd3+ atoms to form a mixture of edge and corner-sharing ONd4 tetrahedra. In the twelfth O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr4+ atoms to form ONd2Zr2 tetrahedra that share corners with twelve OZr4 tetrahedra and edges with six ONd4 tetrahedra. In the thirteenth O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr4+ atoms to form a mixture of distorted edge and corner-sharing ONd2Zr2 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Er2Zr8O19 by Materials Project

Er2Zr8O19 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Er–O bond distances ranging from 2.08–2.37 Å. In the second Er3+ site, Er3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Er–O bond distances ranging from 2.08–2.36 Å. There are eight inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.39 Å. In the second Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.39 Å. In the third Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.14–2.37 Å. In the fourth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.17–2.32 Å. In the fifth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.20–2.29 Å. In the sixth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.16–2.35 Å. In the seventh Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.14–2.37 Å. In the eighth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.38 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent Er3+ and two equivalent Zr4+ atoms to form a mixture of edge and corner-sharing OEr2Zr2 tetrahedra. In the eleventh O2- site, O2- is bonded to two equivalent Er3+ and two equivalent Zr4+ atoms to form a mixture of distorted edge and corner-sharing OEr2Zr2 tetrahedra. In the twelfth O2- site, O2- is bonded to two equivalent Er3+ and two equivalent Zr4+ atoms to form a mixture of edge and corner-sharing OEr2Zr2 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Er3+ atoms to form a mixture of edge and corner-sharing OEr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to two equivalent Er3+ and two equivalent Zr4+ atoms to form a mixture of distorted edge and corner-sharing OEr2Zr2 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on La2Th8O19 by Materials Project

Th8La2O19 is alpha bismuth trifluoride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Th4+ sites. In the first Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.37–2.51 Å. In the second Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.41–2.46 Å. In the third Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.43–2.45 Å. In the fourth Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.43–2.45 Å. In the fifth Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are seven shorter (2.44 Å) and one longer (2.45 Å) Th–O bond lengths. In the sixth Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.43–2.45 Å. In the seventh Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.42–2.47 Å. In the eighth Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.37–2.50 Å. There are two inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of La–O bond distances ranging from 2.31–2.55 Å. In the second La3+ site, La3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of La–O bond distances ranging from 2.31–2.54 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the second O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the third O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the fourth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the fifth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the sixth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the seventh O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the eighth O2- site, O2- is bonded to two equivalent Th4+ and two equivalent La3+ atoms to form a mixture of edge and corner-sharing OLa2Th2 tetrahedra. In the ninth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent Th4+ and two equivalent La3+ atoms to form a mixture of edge and corner-sharing OLa2Th2 tetrahedra. In the eleventh O2- site, O2- is bonded to four La3+ atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the twelfth O2- site, O2- is bonded to two equivalent Th4+ and two equivalent La3+ atoms to form OLa2Th2 tetrahedra that share corners with twelve OTh4 tetrahedra and edges with six OLa4 tetrahedra. In the thirteenth O2- site, O2- is bonded to two equivalent Th4+ and two equivalent La3+ atoms to form a mixture of edge and corner-sharing OLa2Th2 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra.

36 MATERIALS SCIENCE↗