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Evidence for current suppression in superconductor–superconductor bilayers

Superconducting radio frequency (SRF) cavities, which are critical components in many particle accelerators, need to be operated in the Meissner state to avoid strong dissipation from magnetic vortices. For a defect-free superconductor, the maximum attainable magnetic field for operation is set by the superheating field, B sh , which directly depends on the surface current. In heterostructures composed of different superconductors, the current in each layer depends not only on the properties of the individual material, but also on the electromagnetic response of the adjacent layers through boundary conditions at the interfaces. Three prototypical bilayers [Nb 1–x Ti x N (50 nm)/Nb, Nb 1–x Ti x N (80 nm)/Nb, and, Nb 1–x Ti x N (160 nm)/Nb] are investigated here by depth-resolved measurements of their Meissner screening profiles using low energy muon spin rotation (LE-µSR). From fits to a model based on London theory (with appropriate boundary and continuity conditions), a magnetic penetration depth for the thin Nb 1–x Ti x N layers of λ Nb 1–x Ti x N = 182.5(31) nm is found, in good agreement with literature values for the bulk alloy. Using the measured λ Nb 1–x Ti x N , the maximum vortex-free field, B max , of the superconductor-superconductor (SS) bilayer structure was estimated to be 610(40) mT. The strong suppression of the surface current in the Nb 1–x Ti x N layer suggests an optimal thickness of ~ 1.4λ Nb 1–x Ti x N = 261(14) nm.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Effect of Strain on the Resistivity and Thermal Conductivity of High Purity Niobium

High purity niobium (Nb) is a technologically important material for large-scale accelerator and nano-scale quantum computing applications in microwave frequency range. The high thermal conductivity and low resistivity of Nb are critical to the high performance at temperature range of 0.01–4.0 K. The presence of interstitials such as O, N, H, and C act as scattering centers and alter the mean free path, reducing resistivity and thermal conductivity, and contributing significantly to Nb's thermal performance for temperatures of 2.0 K and above. The residual resistivity ratio (RRR), defined as the ratio of the normal state resistivity at 300 K to that at 4.2 K (Nb, T c = 9.2 K), is an accepted direct estimate of the impurity content of fully recrystallized Nb. Complete re-crystallization of Nb is challenging unless very high temperatures are employed, which is often impractical, hence, in practice, dislocation and dislocation structures impact the thermal performance of Nb due to strong phonon scattering contributions. Furthermore, this paper reports on the degradation of thermal conductivity and RRR of high purity Nb large grain, single crystal with fixed impurity, varying strain, and dislocation content levels. Experimental thermal conductivity data fits the Boltzmann transport equation incorporating dislocation density.

36 MATERIALS SCIENCE↗

Materials Data on Mn2Nb by Materials Project

NbMn2 is Hexagonal Laves structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Nb is bonded in a 12-coordinate geometry to four equivalent Nb and twelve Mn atoms. There are three shorter (2.95 Å) and one longer (2.97 Å) Nb–Nb bond lengths. There are a spread of Nb–Mn bond distances ranging from 2.81–2.83 Å. There are two inequivalent Mn sites. In the first Mn site, Mn is bonded to six equivalent Nb and six Mn atoms to form a mixture of corner, edge, and face-sharing MnMn6Nb6 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.34–2.48 Å. In the second Mn site, Mn is bonded to six equivalent Nb and six equivalent Mn atoms to form a mixture of corner, edge, and face-sharing MnMn6Nb6 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on NbSn2 by Materials Project

NbSn2 is Khatyrkite-like structured and crystallizes in the orthorhombic Fddd space group. The structure is three-dimensional. Nb is bonded in a 10-coordinate geometry to two equivalent Nb and eight Sn atoms. Both Nb–Nb bond lengths are 2.87 Å. There are a spread of Nb–Sn bond distances ranging from 2.89–2.99 Å. There are two inequivalent Sn sites. In the first Sn site, Sn is bonded in a 4-coordinate geometry to four equivalent Nb atoms. In the second Sn site, Sn is bonded in a 7-coordinate geometry to four equivalent Nb atoms.

36 MATERIALS SCIENCE↗

Materials Data on Be2Nb3 by Materials Project

Be2Nb3 crystallizes in the tetragonal P4/mbm space group. The structure is three-dimensional. Be is bonded in a 9-coordinate geometry to one Be and eight Nb atoms. The Be–Be bond length is 2.09 Å. There are a spread of Be–Nb bond distances ranging from 2.55–2.63 Å. There are two inequivalent Nb sites. In the first Nb site, Nb is bonded in a distorted square co-planar geometry to four equivalent Be atoms. In the second Nb site, Nb is bonded in a 6-coordinate geometry to six equivalent Be atoms.

36 MATERIALS SCIENCE↗

Materials Data on NbXeF11 by Materials Project

XeNbF11 crystallizes in the orthorhombic Pnma space group. The structure is one-dimensional and consists of four XeNbF11 ribbons oriented in the (1, 0, 0) direction. Xe is bonded in a 7-coordinate geometry to seven F atoms. There are a spread of Xe–F bond distances ranging from 1.97–2.45 Å. Nb is bonded in an octahedral geometry to six F atoms. There are a spread of Nb–F bond distances ranging from 1.88–2.04 Å. There are eight inequivalent F sites. In the first F site, F is bonded in a single-bond geometry to one Nb atom. In the second F site, F is bonded in a distorted linear geometry to one Xe and one Nb atom. In the third F site, F is bonded in a single-bond geometry to one Xe atom. In the fourth F site, F is bonded in a single-bond geometry to one Xe atom. In the fifth F site, F is bonded in a single-bond geometry to one Xe atom. In the sixth F site, F is bonded in a single-bond geometry to one Nb atom. In the seventh F site, F is bonded in a distorted bent 150 degrees geometry to one Xe and one Nb atom. In the eighth F site, F is bonded in a single-bond geometry to one Nb atom.

36 MATERIALS SCIENCE↗

Materials Data on LaNb7O12 by Materials Project

LaNb7O12 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.40–2.93 Å. There are seven inequivalent Nb3+ sites. In the first Nb3+ site, Nb3+ is bonded to five O2- atoms to form a mixture of corner and edge-sharing NbO5 square pyramids. There are a spread of Nb–O bond distances ranging from 2.07–2.23 Å. In the second Nb3+ site, Nb3+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two equivalent NbO6 octahedra, corners with seven NbO5 square pyramids, and an edgeedge with one NbO5 square pyramid. The corner-sharing octahedra tilt angles range from 3–46°. There are a spread of Nb–O bond distances ranging from 2.08–2.26 Å. In the third Nb3+ site, Nb3+ is bonded to five O2- atoms to form NbO5 square pyramids that share a cornercorner with one NbO6 octahedra, corners with six NbO5 square pyramids, an edgeedge with one NbO6 octahedra, and an edgeedge with one NbO5 square pyramid. The corner-sharing octahedral tilt angles are 51°. There are a spread of Nb–O bond distances ranging from 2.09–2.18 Å. In the fourth Nb3+ site, Nb3+ is bonded to five O2- atoms to form a mixture of corner and edge-sharing NbO5 square pyramids. There are a spread of Nb–O bond distances ranging from 2.05–2.28 Å. In the fifth Nb3+ site, Nb3+ is bonded to five O2- atoms to form NbO5 square pyramids that share a cornercorner with one NbO6 octahedra, corners with six NbO5 square pyramids, an edgeedge with one NbO6 octahedra, and an edgeedge with one NbO5 square pyramid. The corner-sharing octahedral tilt angles are 46°. There are a spread of Nb–O bond distances ranging from 2.09–2.19 Å. In the sixth Nb3+ site, Nb3+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two equivalent NbO6 octahedra and corners with seven NbO5 square pyramids. The corner-sharing octahedra tilt angles range from 9–44°. There are a spread of Nb–O bond distances ranging from 2.10–2.21 Å. In the seventh Nb3+ site, Nb3+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with six NbO5 square pyramids, and edges with two NbO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Nb–O bond distances ranging from 1.99–2.12 Å. There are thirteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one La3+ and three Nb3+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one La3+ and three Nb3+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one La3+ and three Nb3+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one La3+ and three Nb3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one La3+ and three Nb3+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb3+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Nb3+ atoms. In the eighth O2- site, O2- is bonded in a linear geometry to two equivalent Nb3+ atoms. In the ninth O2- site, O2- is bonded in a see-saw-like geometry to four Nb3+ atoms. In the tenth O2- site, O2- is bonded in a square co-planar geometry to four Nb3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to one La3+ and three Nb3+ atoms. In the twelfth O2- site, O2- is bonded in a T-shaped geometry to three Nb3+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent La3+ and two Nb3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on NbFe2 by Materials Project

Fe2Nb is Hexagonal Laves structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Nb is bonded in a 12-coordinate geometry to four equivalent Nb and twelve Fe atoms. There are one shorter (2.91 Å) and three longer (2.95 Å) Nb–Nb bond lengths. There are a spread of Nb–Fe bond distances ranging from 2.80–2.84 Å. There are two inequivalent Fe sites. In the first Fe site, Fe is bonded to six equivalent Nb and six equivalent Fe atoms to form a mixture of corner, edge, and face-sharing FeNb6Fe6 cuboctahedra. All Fe–Fe bond lengths are 2.43 Å. In the second Fe site, Fe is bonded to six equivalent Nb and six Fe atoms to form a mixture of corner, edge, and face-sharing FeNb6Fe6 cuboctahedra. There are two shorter (2.34 Å) and two longer (2.44 Å) Fe–Fe bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Be12Nb by Materials Project

Be12Nb crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. there are three inequivalent Be sites. In the first Be site, Be is bonded in a 12-coordinate geometry to ten Be and two equivalent Nb atoms. There are a spread of Be–Be bond distances ranging from 2.13–2.34 Å. Both Be–Nb bond lengths are 2.64 Å. In the second Be site, Be is bonded in a 10-coordinate geometry to nine Be and one Nb atom. There are one shorter (2.16 Å) and four longer (2.24 Å) Be–Be bond lengths. The Be–Nb bond length is 2.58 Å. In the third Be site, Be is bonded to ten Be and two equivalent Nb atoms to form a mixture of distorted corner, edge, and face-sharing BeBe10Nb2 cuboctahedra. Both Be–Be bond lengths are 2.11 Å. Both Be–Nb bond lengths are 2.79 Å. Nb is bonded in a 12-coordinate geometry to twenty Be atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba3Na7Ti3Nb7O30 by Materials Project

Na7Ba3Ti3Nb7O30 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are seven inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four NaO12 cuboctahedra, corners with eight BaO12 cuboctahedra, faces with three NaO12 cuboctahedra, faces with three BaO12 cuboctahedra, faces with four TiO6 octahedra, and faces with four NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.78–2.89 Å. In the second Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four BaO12 cuboctahedra, corners with eight NaO12 cuboctahedra, a faceface with one BaO12 cuboctahedra, faces with five NaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.80–2.87 Å. In the third Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four BaO12 cuboctahedra, corners with eight NaO12 cuboctahedra, a faceface with one BaO12 cuboctahedra, faces with five NaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.80–2.87 Å. In the fourth Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.82–2.86 Å. In the fifth Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with ten NaO12 cuboctahedra, a faceface with one BaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.81–2.86 Å. In the sixth Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.82–2.86 Å. In the seventh Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with ten NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.81–2.86 Å. There are three inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four BaO12 cuboctahedra, corners with eight NaO12 cuboctahedra, faces with three NaO12 cuboctahedra, faces with three BaO12 cuboctahedra, faces with four TiO6 octahedra, and faces with four NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.78–2.91 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six NaO12 cuboctahedra, corners with six BaO12 cuboctahedra, a faceface with one NaO12 cuboctahedra, faces with five BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with six TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.81–2.90 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six NaO12 cuboctahedra, corners with six BaO12 cuboctahedra, faces with two NaO12 cuboctahedra, faces with four BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with six TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.80–2.90 Å. There are three inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with five TiO6 octahedra, faces with two equivalent NaO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ti–O bond distances ranging from 1.97–2.06 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, corners with three NbO6 octahedra, faces with four NaO12 cuboctahedra, and faces with four BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ti–O bond distances ranging from 1.96–2.08 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two NbO6 octahedra, corners with four TiO6 octahedra, faces with two equivalent NaO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ti–O bond distances ranging from 1.95–2.06 Å. There are seven inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three TiO6 octahedra, corners with three NbO6 octahedra, faces with four NaO12 cuboctahedra, and faces with four BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Nb–O bond distances ranging from 1.97–2.06 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with five NbO6 octahedra, and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Nb–O bond distances ranging from 1.94–2.08 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Nb–O bond distances ranging from 2.00–2.02 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Nb–O bond distances ranging from 1.96–2.05 Å. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Nb–O bond distances ranging from 1.99–2.02 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with five NbO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Nb–O bond distances ranging from 1.99–2.05 Å. In the seventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with five NbO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Nb–O bond distances ranging from 1.97–2.03 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, one Ti4+, and one Nb5+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, one Ti4+, and one Nb5+ atom. In the fourth O2- site, O2- is bonded to four Ba2+ and two Ti4+ atoms to form distorted edge-sharing OBa4Ti2 octahedra. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ti4+, and one Nb5+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Na1+, one Ti4+, and one Nb5+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, one Ti4+, and one Nb5+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, and two Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, one Ti4+, and one Nb5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, and two Nb5+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to one Na1+, three Ba2+, and two equivalent Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to two Na1+, two Ba2+, and two equivalent Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two equivalent Nb5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to one Na1+, three Ba2+, and two equivalent Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two equivalent Nb5+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted linear geometry to three Na1+, one Ba2+, and two equivalent Nb5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted linear geometry to two Na1+, two Ba2+, and two equivalent Nb5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two equivalent Nb5+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two equivalent Nb5+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted linear geometry to three Na1+, one Ba2+, and two equivalent Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on K3Nb7O19 by Materials Project

K3Nb7O19 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are three inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 4-coordinate geometry to eleven O2- atoms. There are a spread of K–O bond distances ranging from 2.70–3.39 Å. In the second K1+ site, K1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of K–O bond distances ranging from 2.73–2.85 Å. In the third K1+ site, K1+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of K–O bond distances ranging from 2.85–3.42 Å. There are seven inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. There are a spread of Nb–O bond distances ranging from 1.94–2.11 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of Nb–O bond distances ranging from 1.90–2.17 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Nb–O bond distances ranging from 1.90–2.17 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 5–29°. There are a spread of Nb–O bond distances ranging from 1.87–2.31 Å. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 4–29°. There are a spread of Nb–O bond distances ranging from 1.85–2.33 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 9–26°. There are a spread of Nb–O bond distances ranging from 1.86–2.26 Å. In the seventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 4–26°. There are a spread of Nb–O bond distances ranging from 1.86–2.29 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to two equivalent Nb5+ atoms. In the second O2- site, O2- is bonded in a linear geometry to one K1+ and two Nb5+ atoms. In the third O2- site, O2- is bonded in a linear geometry to two equivalent K1+ and two equivalent Nb5+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent K1+ and two Nb5+ atoms. In the fifth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two equivalent Nb5+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to two K1+ and two Nb5+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to one K1+ and two Nb5+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Nb5+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to two K1+ and two Nb5+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to one K1+ and two Nb5+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Nb5+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to two K1+ and two Nb5+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to two K1+ and two Nb5+ atoms. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb5+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two K1+ and two Nb5+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one K1+ and three Nb5+ atoms. In the eighteenth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Nb5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two equivalent K1+ and two Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li5La3Nb14O42 by Materials Project

Li5La3Nb14O42 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to twelve O2- atoms to form LiO12 cuboctahedra that share corners with three equivalent LiO12 cuboctahedra, faces with four LaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Li–O bond distances ranging from 2.72–2.82 Å. In the second Li1+ site, Li1+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Li–O bond distances ranging from 2.71–2.94 Å. In the third Li1+ site, Li1+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Li–O bond distances ranging from 2.72–2.92 Å. There are two inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with three LaO12 cuboctahedra, faces with two equivalent LiO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of La–O bond distances ranging from 2.66–2.83 Å. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four LaO12 cuboctahedra, faces with four equivalent LiO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of La–O bond distances ranging from 2.66–2.82 Å. There are seven inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra, faces with two equivalent LiO12 cuboctahedra, and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–14°. There are a spread of Nb–O bond distances ranging from 1.94–2.06 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra, a faceface with one LiO12 cuboctahedra, and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–15°. There are a spread of Nb–O bond distances ranging from 1.93–2.08 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra, faces with two equivalent LiO12 cuboctahedra, and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–15°. There are a spread of Nb–O bond distances ranging from 1.94–2.06 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra, faces with two equivalent LiO12 cuboctahedra, and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–14°. There are a spread of Nb–O bond distances ranging from 1.95–2.05 Å. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra, a faceface with one LiO12 cuboctahedra, and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–14°. There are a spread of Nb–O bond distances ranging from 1.97–2.05 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and a faceface with one LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of Nb–O bond distances ranging from 1.96–2.04 Å. In the seventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and a faceface with one LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Nb–O bond distances ranging from 1.97–2.04 Å. There are fifteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two Li1+, two equivalent La3+, and two Nb5+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one La3+, and two Nb5+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one La3+, and two Nb5+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one La3+, and two Nb5+ atoms. In the fifth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Li1+, two La3+, and two Nb5+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to two equivalent Li1+, two equivalent La3+, and two equivalent Nb5+ atoms. In the eighth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one La3+, and two Nb5+ atoms. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+ and two Nb5+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one La3+, and two Nb5+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one La3+, and two Nb5+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to three equivalent Li1+, one La3+, and two Nb5+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to three Li1+ and two Nb5+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Li1+ and two equivalent Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li4Nb2Fe3O10 by Materials Project

Li4Nb2Fe3O10 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with three equivalent FeO6 octahedra, edges with two FeO6 octahedra, edges with three equivalent NbO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–20°. There are a spread of Li–O bond distances ranging from 2.11–2.49 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three equivalent NbO6 octahedra, edges with two equivalent NbO6 octahedra, edges with four LiO6 octahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Li–O bond distances ranging from 2.02–2.54 Å. Nb+3.50+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five LiO6 octahedra, an edgeedge with one NbO6 octahedra, edges with four FeO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–15°. There are a spread of Nb–O bond distances ranging from 1.94–2.15 Å. There are two inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with two equivalent FeO6 octahedra, edges with two equivalent NbO6 octahedra, edges with four equivalent FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Fe–O bond distances ranging from 2.06–2.23 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five LiO6 octahedra, edges with three equivalent NbO6 octahedra, edges with four LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–20°. There are a spread of Fe–O bond distances ranging from 2.06–2.40 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, one Nb+3.50+, and one Fe3+ atom to form OLi3NbFe square pyramids that share corners with three OLi2NbFe3 octahedra, corners with six OLi2NbFe2 square pyramids, edges with four OLi2NbFe3 octahedra, and edges with four OLi3NbFe square pyramids. The corner-sharing octahedra tilt angles range from 10–18°. In the second O2- site, O2- is bonded to two Li1+, one Nb+3.50+, and two Fe3+ atoms to form OLi2NbFe2 square pyramids that share corners with two OLi2NbFe3 octahedra, corners with seven OLi3NbFe square pyramids, edges with six OLi2NbFe3 octahedra, and edges with two OLi3NbFe square pyramids. The corner-sharing octahedra tilt angles range from 9–17°. In the third O2- site, O2- is bonded to three Li1+ and two equivalent Nb+3.50+ atoms to form distorted OLi3Nb2 square pyramids that share corners with three OLi2NbFe3 octahedra, corners with six OLi3NbFe square pyramids, edges with three OLi2NbFe3 octahedra, and edges with five OLi3NbFe square pyramids. The corner-sharing octahedra tilt angles range from 10–11°. In the fourth O2- site, O2- is bonded to two equivalent Li1+, one Nb+3.50+, and three Fe3+ atoms to form OLi2NbFe3 octahedra that share corners with two OLi2NbFe3 octahedra, corners with four OLi3NbFe square pyramids, edges with six OLi2NbFe3 octahedra, and edges with six OLi3NbFe square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the fifth O2- site, O2- is bonded to two Li1+, one Nb+3.50+, and three Fe3+ atoms to form OLi2NbFe3 octahedra that share corners with two OLi2NbFe3 octahedra, corners with four OLi3NbFe square pyramids, edges with five OLi2NbFe3 octahedra, and edges with seven OLi3NbFe square pyramids. The corner-sharing octahedra tilt angles range from 0–2°.

36 MATERIALS SCIENCE↗

Materials Data on LiNb13O33 by Materials Project

LiNb13O33 is Potassium Silver Cyanide-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. Li1+ is bonded in a square co-planar geometry to four equivalent O2- atoms. All Li–O bond lengths are 2.54 Å. There are seven inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 1–18°. There are a spread of Nb–O bond distances ranging from 1.87–2.23 Å. In the second Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.81–2.41 Å. In the third Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.79–2.42 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 2–33°. There are a spread of Nb–O bond distances ranging from 1.85–2.29 Å. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 3–34°. There are a spread of Nb–O bond distances ranging from 1.84–2.29 Å. In the sixth Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.80–2.36 Å. In the seventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There is two shorter (1.93 Å) and four longer (2.04 Å) Nb–O bond length. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the second O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the third O2- site, O2- is bonded to two equivalent Li1+ and two Nb5+ atoms to form a mixture of edge and corner-sharing OLi2Nb2 tetrahedra. In the fourth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to two Nb5+ atoms. In the sixth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the seventh O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to four Nb5+ atoms. In the ninth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the tenth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to three Nb5+ atoms. In the twelfth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb5+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb5+ atoms. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb5+ atoms. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two equivalent Nb5+ atoms. In the seventeenth O2- site, O2- is bonded in a linear geometry to two equivalent Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li8NbFe7(PO4)12 by Materials Project

Li8NbFe7(PO4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li sites. In the first Li site, Li is bonded in a distorted see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.95–2.00 Å. In the second Li site, Li is bonded in a distorted see-saw-like geometry to four O atoms. There is one shorter (1.95 Å) and three longer (2.00 Å) Li–O bond length. In the third Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.00 Å. In the fourth Li site, Li is bonded in a distorted see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.94–1.99 Å. In the fifth Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–1.99 Å. In the sixth Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra, an edgeedge with one NbO6 octahedra, and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.91–2.08 Å. In the seventh Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and edges with two FeO6 octahedra. There is one shorter (1.95 Å) and three longer (2.00 Å) Li–O bond length. In the eighth Li site, Li is bonded in a distorted see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.96–2.08 Å. Nb is bonded to six O atoms to form NbO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Nb–O bond distances ranging from 1.94–2.06 Å. There are seven inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.09 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.95–2.09 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.95–2.09 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.10 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 trigonal pyramids. There are a spread of Fe–O bond distances ranging from 1.96–2.13 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.94–2.11 Å. In the seventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 trigonal pyramids. There are a spread of Fe–O bond distances ranging from 1.96–2.09 Å. There are twelve inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one NbO6 octahedra, corners with three FeO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 22–38°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 27–35°. There is two shorter (1.53 Å) and two longer (1.56 Å) P–O bond length. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 27–35°. There is two shorter (1.53 Å) and two longer (1.56 Å) P–O bond length. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one NbO6 octahedra, corners with three FeO6 octahedra, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 27–35°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 12–43°. There is one shorter (1.53 Å) and three longer (1.55 Å) P–O bond length. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 11–43°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one NbO6 octahedra, corners with three FeO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 13–40°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 11–42°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the ninth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one NbO6 octahedra, corners with three FeO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 8–46°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the tenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one NbO6 octahedra, corners with three FeO6 octahedra, and corners with three LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 9–42°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the eleventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one NbO6 octahedra, corners with three FeO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 11–43°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the twelfth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 11–43°. There is one shorter (1.53 Å) and three longer (1.55 Å) P–O bond length. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the second O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the third O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one P atom. In the fourth O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one P atom. In the fifth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the sixth O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one P atom. In the seventh O site, O is bonded in a linear geometry to one Fe and one P atom. In the eighth O site, O is bonded in a linear geometry to one Fe and one P atom. In the ninth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the tenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one Fe, and one P atom. In the eleventh O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the twelfth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the thirteenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the fourteenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the fifteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one Fe, and one P atom. In the sixteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one Fe, and one P atom. In the seventeenth O site, O is bonded in a linear geometry to one Fe and one P atom. In the eighteenth O site, O is bonded in a linear geometry to one Fe and one P atom. In the nineteenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the twentieth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the twenty-first O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one P atom. In the twenty-second O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one P atom. In the twenty-third O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twenty-fourth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twenty-fifth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twenty-sixth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twenty-seventh O site, O is bonded in a distorted T-shaped geometry to one Li, one Nb, and one P atom. In the twenty-eighth O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one P atom. In the twenty-ninth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the thirtieth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the thirty-first O site, O is bonded in a linear geometry to one Fe and one P atom. In the thirty-second O site, O is bonded in a linear geometry to one Nb and one P atom. In the thirty-third O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one P atom. In the thirty-fourth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one Nb, and one P atom. In the thirty-fifth O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one P atom. In the thirty-sixth O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one P atom. In the thirty-seventh O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the thirty-eighth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Nb, and one P atom. In the thirty-ninth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one Fe, and one P atom. In the fortieth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the forty-first O site, O is bonded in a linear geometry to one Fe and one P atom. In the forty-second O site, O is bonded in a linear geometry to one Fe and one P atom. In the forty-third O site, O is bonded in a distorted trigonal planar geometry to one Li, one Nb, and one P atom. In the forty-fourth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the forty-fifth O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one P atom. In the forty-sixth O

36 MATERIALS SCIENCE↗

Materials Data on YNb2NO5 by Materials Project

YNb2NO5 is Brookite-derived structured and crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are two inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to two N3- and four O2- atoms to form distorted YN2O4 octahedra that share corners with six NbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–61°. There are one shorter (2.31 Å) and one longer (2.36 Å) Y–N bond lengths. There are a spread of Y–O bond distances ranging from 2.26–2.38 Å. In the second Y3+ site, Y3+ is bonded in a 6-coordinate geometry to one N3- and five O2- atoms. The Y–N bond length is 2.35 Å. There are a spread of Y–O bond distances ranging from 2.24–2.41 Å. There are four inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to one N3- and five O2- atoms to form distorted NbNO5 octahedra that share corners with two equivalent YN2O4 octahedra, corners with four NbNO5 octahedra, and edges with two equivalent NbNO5 octahedra. The corner-sharing octahedra tilt angles range from 48–59°. The Nb–N bond length is 1.90 Å. There are a spread of Nb–O bond distances ranging from 1.90–2.37 Å. In the second Nb5+ site, Nb5+ is bonded to one N3- and five O2- atoms to form distorted NbNO5 octahedra that share corners with two equivalent YN2O4 octahedra, corners with four NbNO5 octahedra, and edges with two equivalent NbNO5 octahedra. The corner-sharing octahedra tilt angles range from 40–61°. The Nb–N bond length is 2.10 Å. There are a spread of Nb–O bond distances ranging from 1.89–2.31 Å. In the third Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to one N3- and five O2- atoms. The Nb–N bond length is 1.82 Å. There are a spread of Nb–O bond distances ranging from 2.01–2.52 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with two equivalent YN2O4 octahedra and corners with two equivalent NbO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Nb–O bond distances ranging from 1.87–2.37 Å. There are two inequivalent N3- sites. In the first N3- site, N3- is bonded in a distorted trigonal planar geometry to one Y3+ and two Nb5+ atoms. In the second N3- site, N3- is bonded in a 3-coordinate geometry to two Y3+ and one Nb5+ atom. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Y3+ and one Nb5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Y3+ and one Nb5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Y3+ and two Nb5+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb5+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb5+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Y3+ and one Nb5+ atom. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to one Y3+ and two Nb5+ atoms. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to one Y3+ and two Nb5+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb5+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to three Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li5La4TiNb7O28 by Materials Project

Li5La4TiNb7O28 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.35 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two NbO6 octahedra and corners with four equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 1.93–2.36 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two NbO6 octahedra, an edgeedge with one TiO6 octahedra, and an edgeedge with one NbO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Li–O bond distances ranging from 2.05–2.28 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with four equivalent LiO5 trigonal bipyramids and edges with two NbO6 octahedra. There are a spread of Li–O bond distances ranging from 2.00–2.26 Å. There are four inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of La–O bond distances ranging from 2.41–2.98 Å. In the second La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.42–2.74 Å. In the third La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.41–2.75 Å. In the fourth La3+ site, La3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of La–O bond distances ranging from 2.41–2.99 Å. Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with five NbO6 octahedra and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 4–34°. There are a spread of Ti–O bond distances ranging from 1.77–2.27 Å. There are seven inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four equivalent NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 5–38°. There are a spread of Nb–O bond distances ranging from 1.82–2.29 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with four equivalent NbO6 octahedra and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 3–38°. There are a spread of Nb–O bond distances ranging from 1.82–2.27 Å. In the third Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.79–2.37 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with four equivalent NbO6 octahedra and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 3–38°. There are a spread of Nb–O bond distances ranging from 1.82–2.27 Å. In the fifth Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.79–2.37 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with four equivalent TiO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 4–34°. There are a spread of Nb–O bond distances ranging from 1.86–2.24 Å. In the seventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 5–38°. There are a spread of Nb–O bond distances ranging from 1.81–2.34 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, two La3+, and two Nb5+ atoms. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two La3+ and two Nb5+ atoms. In the third O2- site, O2- is bonded to two La3+, one Ti4+, and one Nb5+ atom to form distorted corner-sharing OLa2TiNb tetrahedra. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two La3+, one Ti4+, and one Nb5+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Nb5+ atoms. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two La3+ and two Nb5+ atoms. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, two La3+, and two Nb5+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two La3+ and two Nb5+ atoms. In the ninth O2- site, O2- is bonded to two La3+ and two Nb5+ atoms to form a mixture of distorted edge and corner-sharing OLa2Nb2 trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted see-saw-like geometry to three Li1+ and one Ti4+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one Nb5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one Nb5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one Nb5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two La3+, one Ti4+, and one Nb5+ atom. In the fifteenth O2- site, O2- is bonded to two La3+ and two Nb5+ atoms to form a mixture of distorted edge and corner-sharing OLa2Nb2 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to two La3+ and two Nb5+ atoms. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to two La3+, one Ti4+, and one Nb5+ atom. In the eighteenth O2- site, O2- is bonded in a T-shaped geometry to one Li1+, one Ti4+, and one Nb5+ atom. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to two La3+ and two Nb5+ atoms. In the twentieth O2- site, O2- is bonded to two La3+ and two Nb5+ atoms to form a mixture of distorted edge and corner-sharing OLa2Nb2 tetrahedra. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two La3+ and two Nb5+ atoms. In the twenty-second O2- site, O2- is bonded in a T-shaped geometry to one Li1+ and two Nb5+ atoms. In the twenty-third O2- site, O2- is bonded to two La3+ and two Nb5+ atoms to form distorted corner-sharing OLa2Nb2 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one Nb5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one Nb5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted see-saw-like geometry to three Li1+ and one Nb5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one Nb5+ atom. In the twenty-eighth O2- site, O2- is bonded to two La3+ and two Nb5+ atoms to form a mixture of distorted edge and corner-sharing OLa2Nb2 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on YNb2NO5 by Materials Project

YNb2NO5 is Brookite-derived structured and crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are two inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to one N3- and five O2- atoms to form distorted YNO5 octahedra that share corners with six NbO6 octahedra and edges with two equivalent YN2O4 octahedra. The corner-sharing octahedra tilt angles range from 45–64°. The Y–N bond length is 2.37 Å. There are a spread of Y–O bond distances ranging from 2.25–2.38 Å. In the second Y3+ site, Y3+ is bonded to two N3- and four O2- atoms to form distorted YN2O4 octahedra that share corners with six NbO6 octahedra and edges with two equivalent YNO5 octahedra. The corner-sharing octahedra tilt angles range from 38–59°. There are one shorter (2.28 Å) and one longer (2.34 Å) Y–N bond lengths. There are a spread of Y–O bond distances ranging from 2.25–2.39 Å. There are four inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to one N3- and five O2- atoms to form distorted NbNO5 octahedra that share corners with four YNO5 octahedra, corners with four NbNO5 octahedra, and edges with two equivalent NbNO5 octahedra. The corner-sharing octahedra tilt angles range from 38–64°. The Nb–N bond length is 2.03 Å. There are a spread of Nb–O bond distances ranging from 1.89–2.35 Å. In the second Nb5+ site, Nb5+ is bonded to one N3- and five O2- atoms to form distorted NbNO5 octahedra that share corners with four YNO5 octahedra, corners with four NbNO5 octahedra, and edges with two equivalent NbNO5 octahedra. The corner-sharing octahedra tilt angles range from 45–63°. The Nb–N bond length is 1.92 Å. There are a spread of Nb–O bond distances ranging from 1.90–2.35 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with two equivalent NbO6 octahedra and corners with four YNO5 octahedra. The corner-sharing octahedra tilt angles range from 42–59°. There are a spread of Nb–O bond distances ranging from 1.88–2.29 Å. In the fourth Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to one N3- and five O2- atoms. The Nb–N bond length is 1.82 Å. There are a spread of Nb–O bond distances ranging from 2.01–2.57 Å. There are two inequivalent N3- sites. In the first N3- site, N3- is bonded in a distorted trigonal planar geometry to one Y3+ and two Nb5+ atoms. In the second N3- site, N3- is bonded in a 3-coordinate geometry to two Y3+ and one Nb5+ atom. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Y3+ and one Nb5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Y3+ and one Nb5+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Y3+ and two Nb5+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb5+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb5+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Y3+ and one Nb5+ atom. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to one Y3+ and two Nb5+ atoms. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to one Y3+ and two Nb5+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to three Nb5+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Nb5+ atoms.

36 MATERIALS SCIENCE↗