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Production of High Specific Activity 155 Tb, 161 Tb and 203 Pb for Research and Clinical Applications: Effective Target Design, Target Material Recycling and Radioisotope Separation (Final Technical Report)

The overall objectives of this project were (1) to develop methods for the production and separation of a diagnostic and therapeutic or “theranostic” pair of radioisotopes, terbium-155 ( 155 Tb) and terbium-161 ( 161 Tb) and (2) to train graduate students and postdoctoral fellows in technologies and methods used in radionuclide production. Radionuclides can be incorporated into drugs called radiopharmaceuticals that target a specific disease (e.g., cancer). The need for theranostic radionuclides is escalating with the clinical translation of radiopharmaceuticals due to their implementation in personalized medicine, which has demonstrated enhanced patient treatments. High purity and high specific activity radionuclides are critical for theranostic agent development, for example to maintain diagnostic image quality, to minimize radiation dose to the patient, and to increase uptake in the targeted tissue (e.g., tumor), especially in the case of receptor- and antigen-targeted agents. The 155 Tb (diagnostic) and 161 Tb (therapeutic) radioisotopes that were generated through this project are a theranostic pair with demonstrated potential for the development and translation into individualized, targeted, and dosimetry-driven radiotherapies. However, the development of such radiotherapies has been hindered by the lack of a routine and reliable supply of these isotopes in the United States. Methods for the production, separation, and supply of 155 Tb and 161 Tb were investigated and developed in this project. Further, the strong emphasis throughout the project on the training of graduate students and postdoctoral fellows has helped to ensure and enhance the nuclear science workforce through the training of the next generation of highly qualified scientists in nuclear and radiochemistry. This grant also continued a collaboration between scientists at the University of Washington (UW), the University of Missouri (MU) and Brookhaven National Laboratory (BNL). All three institutions were involved in the project, but to different degrees on the various tasks through which the overall objectives were met.

07 ISOTOPE AND RADIATION SOURCES↗

Measurement of Inclusive Charged-Current $\barν_μ$ Scattering on C, CH, Fe, and Pb at $\langle E_{\barν}\rangle \sim$ 6 GeV with MINERvA

We report MINERvA's first measurement of inclusive charged-current $\barν_μ$ cross sections on carbon, hydrocarbon, iron, and lead, and their ratios to the cross section on hydrocarbon, as functions of the antimuon transverse momentum, $p_{\mathrm{T}}$. Using a wide-band $\barν_μ$ beam with mean energy $\sim 6~\text{GeV}$, these measurements probe all interaction modes, including the transition from resonance production to deep-inelastic scattering. The total uncertainties are typically $5-10\%$ for the absolute cross sections and $2-5\%$ for the ratios. Comparisons with multiple neutrino interaction models reveal significant discrepancies in the $p_{\mathrm{T}}$ dependence, particularly for heavier nuclei. The disagreements are most pronounced at low $p_{\mathrm{T}}$ but extend across the full $p_{\mathrm{T}}$ range, indicating missing or mis-modelled nuclear effects.

Klustová, A. [Imperial Coll., London] (ORCID:00000↗

Materials Data on Cs5(KPb6)3 by Materials Project

Cs5(KPb6)3 is Magnesium tetraboride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Cs sites. In the first Cs site, Cs is bonded in a 8-coordinate geometry to eight Pb atoms. There are a spread of Cs–Pb bond distances ranging from 3.92–4.40 Å. In the second Cs site, Cs is bonded in a 8-coordinate geometry to ten Pb atoms. There are a spread of Cs–Pb bond distances ranging from 3.89–4.61 Å. In the third Cs site, Cs is bonded in a 10-coordinate geometry to ten Pb atoms. There are a spread of Cs–Pb bond distances ranging from 4.00–4.44 Å. In the fourth Cs site, Cs is bonded in a 10-coordinate geometry to ten Pb atoms. There are a spread of Cs–Pb bond distances ranging from 4.02–4.50 Å. In the fifth Cs site, Cs is bonded in a 10-coordinate geometry to ten Pb atoms. There are a spread of Cs–Pb bond distances ranging from 4.00–4.46 Å. In the sixth Cs site, Cs is bonded in a 10-coordinate geometry to ten Pb atoms. There are a spread of Cs–Pb bond distances ranging from 4.00–4.42 Å. In the seventh Cs site, Cs is bonded in a 9-coordinate geometry to nine Pb atoms. There are a spread of Cs–Pb bond distances ranging from 3.97–4.39 Å. In the eighth Cs site, Cs is bonded in a 9-coordinate geometry to nine Pb atoms. There are a spread of Cs–Pb bond distances ranging from 3.97–4.42 Å. In the ninth Cs site, Cs is bonded in a 8-coordinate geometry to ten Pb atoms. There are a spread of Cs–Pb bond distances ranging from 3.91–4.64 Å. In the tenth Cs site, Cs is bonded in a 8-coordinate geometry to eight Pb atoms. There are a spread of Cs–Pb bond distances ranging from 3.93–4.40 Å. There are six inequivalent K sites. In the first K site, K is bonded in a 6-coordinate geometry to nine Pb atoms. There are a spread of K–Pb bond distances ranging from 3.76–4.25 Å. In the second K site, K is bonded in a 6-coordinate geometry to six Pb atoms. There are a spread of K–Pb bond distances ranging from 3.58–4.03 Å. In the third K site, K is bonded in a 7-coordinate geometry to eight Pb atoms. There are a spread of K–Pb bond distances ranging from 3.69–4.23 Å. In the fourth K site, K is bonded in a 1-coordinate geometry to eight Pb atoms. There are a spread of K–Pb bond distances ranging from 3.71–4.20 Å. In the fifth K site, K is bonded in a 7-coordinate geometry to seven Pb atoms. There are a spread of K–Pb bond distances ranging from 3.73–4.14 Å. In the sixth K site, K is bonded in a 6-coordinate geometry to six Pb atoms. There are a spread of K–Pb bond distances ranging from 3.58–3.98 Å. There are thirty-six inequivalent Pb sites. In the first Pb site, Pb is bonded in a 8-coordinate geometry to three Cs and five Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.18–3.46 Å. In the second Pb site, Pb is bonded in a 1-coordinate geometry to three Cs, one K, and four Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.16–3.21 Å. In the third Pb site, Pb is bonded in a 8-coordinate geometry to one Cs, three K, and four Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.15–3.28 Å. In the fourth Pb site, Pb is bonded in a 7-coordinate geometry to three Cs and four Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.15–3.20 Å. In the fifth Pb site, Pb is bonded in a 3-coordinate geometry to three Cs, one K, and four Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.15–3.20 Å. In the sixth Pb site, Pb is bonded in a 8-coordinate geometry to three Cs, one K, and four Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.19–3.29 Å. In the seventh Pb site, Pb is bonded in a 7-coordinate geometry to three Cs and four Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.17–3.20 Å. In the eighth Pb site, Pb is bonded in a 8-coordinate geometry to three Cs, one K, and four Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.14–3.36 Å. In the ninth Pb site, Pb is bonded in a 9-coordinate geometry to three Cs, two K, and four Pb atoms. There are two shorter (3.18 Å) and one longer (3.22 Å) Pb–Pb bond lengths. In the tenth Pb site, Pb is bonded in a 2-coordinate geometry to three Cs, one K, and four Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.15–3.32 Å. In the eleventh Pb site, Pb is bonded in a 8-coordinate geometry to three Cs, one K, and four Pb atoms. There are one shorter (3.18 Å) and one longer (3.20 Å) Pb–Pb bond lengths. In the twelfth Pb site, Pb is bonded in a 3-coordinate geometry to two Cs, two K, and four Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.14–3.29 Å. In the thirteenth Pb site, Pb is bonded in a 3-coordinate geometry to two Cs, two K, and four Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.14–3.29 Å. In the fourteenth Pb site, Pb is bonded in a 8-coordinate geometry to two Cs, one K, and five Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.19–3.39 Å. In the fifteenth Pb site, Pb is bonded in a 8-coordinate geometry to three Cs, one K, and four Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.14–3.35 Å. In the sixteenth Pb site, Pb is bonded in a 1-coordinate geometry to three Cs, one K, and four Pb atoms. There are one shorter (3.16 Å) and one longer (3.21 Å) Pb–Pb bond lengths. In the seventeenth Pb site, Pb is bonded in a 1-coordinate geometry to three Cs, two K, and four Pb atoms. There are one shorter (3.16 Å) and two longer (3.20 Å) Pb–Pb bond lengths. In the eighteenth Pb site, Pb is bonded in a 9-coordinate geometry to three Cs, two K, and four Pb atoms. The Pb–Pb bond length is 3.18 Å. In the nineteenth Pb site, Pb is bonded in a 8-coordinate geometry to two Cs, two K, and four Pb atoms. The Pb–Pb bond length is 3.22 Å. In the twentieth Pb site, Pb is bonded in a 8-coordinate geometry to one Cs, three K, and four Pb atoms. In the twenty-first Pb site, Pb is bonded in a 8-coordinate geometry to two Cs, one K, and five Pb atoms. There are one shorter (3.19 Å) and one longer (3.40 Å) Pb–Pb bond lengths. In the twenty-second Pb site, Pb is bonded in a 2-coordinate geometry to three Cs, one K, and four Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.14–3.32 Å. In the twenty-third Pb site, Pb is bonded in a 9-coordinate geometry to three Cs, one K, and five Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.19–3.45 Å. In the twenty-fourth Pb site, Pb is bonded in a 7-coordinate geometry to two Cs, one K, and four Pb atoms. The Pb–Pb bond length is 3.13 Å. In the twenty-fifth Pb site, Pb is bonded in a 8-coordinate geometry to four Cs and four Pb atoms. The Pb–Pb bond length is 3.18 Å. In the twenty-sixth Pb site, Pb is bonded in a 8-coordinate geometry to three Cs and five Pb atoms. There are one shorter (3.18 Å) and one longer (3.26 Å) Pb–Pb bond lengths. In the twenty-seventh Pb site, Pb is bonded in a 1-coordinate geometry to one Cs, two K, and five Pb atoms. The Pb–Pb bond length is 3.23 Å. In the twenty-eighth Pb site, Pb is bonded in a 1-coordinate geometry to three Cs, one K, and four Pb atoms. In the twenty-ninth Pb site, Pb is bonded in a 1-coordinate geometry to three Cs, one K, and five Pb atoms. The Pb–Pb bond length is 3.22 Å. In the thirtieth Pb site, Pb is bonded in a 9-coordinate geometry to three Cs, two K, and four Pb atoms. The Pb–Pb bond length is 3.19 Å. In the thirty-first Pb site, Pb is bonded in a 8-coordinate geometry to four Cs and four Pb atoms. The Pb–Pb bond length is 3.15 Å. In the thirty-second Pb site, Pb is bonded in a 1-coordinate geometry to three Cs, one K, and four Pb atoms. In the thirty-third Pb site, Pb is bonded in a 7-coordinate geometry to two Cs, one K, and four Pb atoms. The Pb–Pb bond length is 3.13 Å. In the thirty-fourth Pb site, Pb is bonded in a 1-coordinate geometry to one Cs, two K, and five Pb atoms. In the thirty-fifth Pb site, Pb is bonded in a 3-coordinate geometry to three Cs, one K, and four Pb atoms. In the thirty-sixth Pb site, Pb is bonded in a 8-coordinate geometry to two Cs, two K, and four Pb atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pb3O5 by Materials Project

Pb3O5 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are twenty-four inequivalent Pb+3.33+ sites. In the first Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form distorted PbO6 octahedra that share corners with two equivalent PbO7 hexagonal pyramids, corners with four PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with three PbO6 octahedra. The corner-sharing octahedra tilt angles range from 42–51°. There are a spread of Pb–O bond distances ranging from 2.15–2.36 Å. In the second Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form distorted PbO6 octahedra that share corners with two equivalent PbO7 hexagonal pyramids, corners with four PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with three PbO6 octahedra. The corner-sharing octahedra tilt angles range from 43–50°. There are a spread of Pb–O bond distances ranging from 2.15–2.36 Å. In the third Pb+3.33+ site, Pb+3.33+ is bonded in a 8-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.52–2.78 Å. In the fourth Pb+3.33+ site, Pb+3.33+ is bonded to seven O2- atoms to form a mixture of distorted edge and corner-sharing PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 79–88°. There are a spread of Pb–O bond distances ranging from 2.34–2.81 Å. In the fifth Pb+3.33+ site, Pb+3.33+ is bonded in a 8-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.52–2.80 Å. In the sixth Pb+3.33+ site, Pb+3.33+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Pb–O bond distances ranging from 2.10–2.67 Å. In the seventh Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form distorted PbO6 octahedra that share corners with two equivalent PbO7 hexagonal pyramids, corners with four PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with three PbO6 octahedra. The corner-sharing octahedra tilt angles range from 43–50°. There are a spread of Pb–O bond distances ranging from 2.15–2.36 Å. In the eighth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share corners with six PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and an edgeedge with one PbO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Pb–O bond distances ranging from 2.17–2.23 Å. In the ninth Pb+3.33+ site, Pb+3.33+ is bonded to seven O2- atoms to form a mixture of distorted edge and corner-sharing PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 78–87°. There are a spread of Pb–O bond distances ranging from 2.35–2.80 Å. In the tenth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share corners with six PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and an edgeedge with one PbO6 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Pb–O bond distances ranging from 2.17–2.22 Å. In the eleventh Pb+3.33+ site, Pb+3.33+ is bonded to seven O2- atoms to form a mixture of distorted edge and corner-sharing PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 79–88°. There are a spread of Pb–O bond distances ranging from 2.34–2.82 Å. In the twelfth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share a cornercorner with one PbO7 hexagonal pyramid, corners with five PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with two equivalent PbO6 octahedra. The corner-sharing octahedra tilt angles range from 43–56°. There are a spread of Pb–O bond distances ranging from 2.16–2.41 Å. In the thirteenth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share corners with six PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and an edgeedge with one PbO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Pb–O bond distances ranging from 2.18–2.23 Å. In the fourteenth Pb+3.33+ site, Pb+3.33+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.51–2.82 Å. In the fifteenth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share a cornercorner with one PbO7 hexagonal pyramid, corners with five PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with two equivalent PbO6 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There are a spread of Pb–O bond distances ranging from 2.16–2.41 Å. In the sixteenth Pb+3.33+ site, Pb+3.33+ is bonded to seven O2- atoms to form a mixture of distorted edge and corner-sharing PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 78–87°. There are a spread of Pb–O bond distances ranging from 2.34–2.79 Å. In the seventeenth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share a cornercorner with one PbO7 hexagonal pyramid, corners with five PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with two equivalent PbO6 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There are a spread of Pb–O bond distances ranging from 2.16–2.41 Å. In the eighteenth Pb+3.33+ site, Pb+3.33+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pb–O bond distances ranging from 2.53–3.08 Å. In the nineteenth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form corner-sharing PbO6 octahedra. The corner-sharing octahedra tilt angles range from 47–56°. There are two shorter (2.18 Å) and four longer (2.23 Å) Pb–O bond lengths. In the twentieth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form corner-sharing PbO6 octahedra. The corner-sharing octahedra tilt angles range from 48–56°. There are two shorter (2.18 Å) and four longer (2.22 Å) Pb–O bond lengths. In the twenty-first Pb+3.33+ site, Pb+3.33+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Pb–O bond distances ranging from 2.10–2.66 Å. In the twenty-second Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form distorted PbO6 octahedra that share corners with two equivalent PbO7 hexagonal pyramids, corners with four PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with three PbO6 octahedra. The corner-sharing octahedra tilt angles range from 42–51°. There are a spread of Pb–O bond distances ranging from 2.15–2.36 Å. In the twenty-third Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share a cornercorner with one PbO7 hexagonal pyramid, corners with five PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with two equivalent PbO6 octahedra. The corner-sharing octahedra tilt angles range from 43–56°. There are a spread of Pb–O bond distances ranging from 2.16–2.41 Å. In the twenty-fourth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share corners with six PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and an edgeedge with one PbO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Pb–O bond distances ranging from 2.18–2.23 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the second O2- site, O2- is bonded in a 2-coordinate geometry to four Pb+3.33+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to three Pb+3.33+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to three Pb+3.33+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the seventh O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the eighth O2- site, O2- is bonded to four Pb+3.33+ atoms to form corner-sharing OPb4 tetrahedra. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the eleventh O2- site, O2- is bonded to four Pb+3.33+ atoms to form distorted corner-sharing OPb4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to three Pb+3.33+ atoms. In the sixteenth O2- site, O2- is bonded to four Pb+3.33+ atoms to form distorted corner-sharing OPb4 tetrahedra. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to three Pb+3.33+ atoms. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the twenty-second O2- site, O2- is bonded to four Pb+3.33+ atoms to form distorted corner-sharing OPb4 tetrahedra. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to three Pb+3.33+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the twenty-eighth O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to four Pb+3.33+ atoms. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to three Pb+3.33+ atoms. In the thirty-second O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the thirty-fifth O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the thirty-seventh O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the thirty-eighth O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the thirty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the fortieth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Y5Pb4 by Materials Project

Y5Pb4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Y sites. In the first Y site, Y is bonded to six Pb atoms to form a mixture of corner and face-sharing YPb6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Y–Pb bond distances ranging from 3.49–3.68 Å. In the second Y site, Y is bonded to six Pb atoms to form a mixture of distorted edge, corner, and face-sharing YPb6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Y–Pb bond distances ranging from 3.55–3.83 Å. In the third Y site, Y is bonded to six Pb atoms to form a mixture of distorted edge, corner, and face-sharing YPb6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Y–Pb bond distances ranging from 3.55–3.83 Å. In the fourth Y site, Y is bonded to six Pb atoms to form a mixture of distorted edge, corner, and face-sharing YPb6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Y–Pb bond distances ranging from 3.55–3.82 Å. In the fifth Y site, Y is bonded in a 6-coordinate geometry to six Pb atoms. There are a spread of Y–Pb bond distances ranging from 3.43–3.64 Å. In the sixth Y site, Y is bonded to six Pb atoms to form a mixture of distorted edge, corner, and face-sharing YPb6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Y–Pb bond distances ranging from 3.55–3.83 Å. In the seventh Y site, Y is bonded to six Pb atoms to form a mixture of corner and face-sharing YPb6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Y–Pb bond distances ranging from 3.50–3.69 Å. In the eighth Y site, Y is bonded in a 6-coordinate geometry to six Pb atoms. There are a spread of Y–Pb bond distances ranging from 3.44–3.64 Å. In the ninth Y site, Y is bonded in a 6-coordinate geometry to six Pb atoms. There are a spread of Y–Pb bond distances ranging from 3.43–3.64 Å. In the tenth Y site, Y is bonded to six Pb atoms to form a mixture of corner and face-sharing YPb6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Y–Pb bond distances ranging from 3.49–3.69 Å. In the eleventh Y site, Y is bonded in a 6-coordinate geometry to six Pb atoms. There are a spread of Y–Pb bond distances ranging from 3.43–3.64 Å. In the twelfth Y site, Y is bonded to six Pb atoms to form a mixture of corner and face-sharing YPb6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Y–Pb bond distances ranging from 3.50–3.69 Å. In the thirteenth Y site, Y is bonded to six Pb atoms to form a mixture of distorted edge, corner, and face-sharing YPb6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Y–Pb bond distances ranging from 3.55–3.82 Å. In the fourteenth Y site, Y is bonded in a 6-coordinate geometry to six Pb atoms. There are a spread of Y–Pb bond distances ranging from 3.44–3.64 Å. In the fifteenth Y site, Y is bonded to six Pb atoms to form a mixture of distorted edge, corner, and face-sharing YPb6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Y–Pb bond distances ranging from 3.55–3.83 Å. In the sixteenth Y site, Y is bonded to six Pb atoms to form a mixture of distorted edge, corner, and face-sharing YPb6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Y–Pb bond distances ranging from 3.55–3.83 Å. In the seventeenth Y site, Y is bonded to six Pb atoms to form a mixture of distorted edge, corner, and face-sharing YPb6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Y–Pb bond distances ranging from 3.55–3.83 Å. In the eighteenth Y site, Y is bonded in a 6-coordinate geometry to six Pb atoms. There are a spread of Y–Pb bond distances ranging from 3.43–3.64 Å. In the nineteenth Y site, Y is bonded in a 6-coordinate geometry to six Pb atoms. There are a spread of Y–Pb bond distances ranging from 3.43–3.64 Å. In the twentieth Y site, Y is bonded in a 6-coordinate geometry to six Pb atoms. There are a spread of Y–Pb bond distances ranging from 3.43–3.65 Å. There are sixteen inequivalent Pb sites. In the first Pb site, Pb is bonded in a 9-coordinate geometry to eight Y and one Pb atom. The Pb–Pb bond length is 3.31 Å. In the second Pb site, Pb is bonded to seven Y atoms to form a mixture of distorted edge and corner-sharing PbY7 pentagonal bipyramids. In the third Pb site, Pb is bonded in a 9-coordinate geometry to eight Y and one Pb atom. The Pb–Pb bond length is 3.32 Å. In the fourth Pb site, Pb is bonded to seven Y atoms to form a mixture of distorted edge and corner-sharing PbY7 pentagonal bipyramids. In the fifth Pb site, Pb is bonded to seven Y atoms to form a mixture of distorted edge and corner-sharing PbY7 pentagonal bipyramids. In the sixth Pb site, Pb is bonded in a 9-coordinate geometry to eight Y and one Pb atom. In the seventh Pb site, Pb is bonded in a 9-coordinate geometry to eight Y and one Pb atom. The Pb–Pb bond length is 3.31 Å. In the eighth Pb site, Pb is bonded in a 9-coordinate geometry to eight Y and one Pb atom. In the ninth Pb site, Pb is bonded to seven Y atoms to form a mixture of distorted edge and corner-sharing PbY7 pentagonal bipyramids. In the tenth Pb site, Pb is bonded to seven Y atoms to form a mixture of distorted edge and corner-sharing PbY7 pentagonal bipyramids. In the eleventh Pb site, Pb is bonded in a 9-coordinate geometry to eight Y and one Pb atom. The Pb–Pb bond length is 3.32 Å. In the twelfth Pb site, Pb is bonded to seven Y atoms to form a mixture of distorted edge and corner-sharing PbY7 pentagonal bipyramids. In the thirteenth Pb site, Pb is bonded to seven Y atoms to form a mixture of distorted edge and corner-sharing PbY7 pentagonal bipyramids. In the fourteenth Pb site, Pb is bonded in a 9-coordinate geometry to eight Y and one Pb atom. In the fifteenth Pb site, Pb is bonded to seven Y atoms to form a mixture of distorted edge and corner-sharing PbY7 pentagonal bipyramids. In the sixteenth Pb site, Pb is bonded in a 9-coordinate geometry to eight Y and one Pb atom.

36 MATERIALS SCIENCE↗

Materials Data on Pb5(CO4)3 by Materials Project

Pb5(CO4)3 crystallizes in the triclinic P1 space group. The structure is two-dimensional and consists of two Pb5(CO4)3 sheets oriented in the (0, 0, 1) direction. there are fifteen inequivalent Pb+2.40+ sites. In the first Pb+2.40+ site, Pb+2.40+ is bonded in a 6-coordinate geometry to three O2- atoms. There are a spread of Pb–O bond distances ranging from 2.29–2.32 Å. In the second Pb+2.40+ site, Pb+2.40+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.28–2.99 Å. In the third Pb+2.40+ site, Pb+2.40+ is bonded in a 6-coordinate geometry to three O2- atoms. There are one shorter (2.28 Å) and two longer (2.31 Å) Pb–O bond lengths. In the fourth Pb+2.40+ site, Pb+2.40+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.28–2.80 Å. In the fifth Pb+2.40+ site, Pb+2.40+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.28–2.81 Å. In the sixth Pb+2.40+ site, Pb+2.40+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.28–2.81 Å. In the seventh Pb+2.40+ site, Pb+2.40+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.26–2.71 Å. In the eighth Pb+2.40+ site, Pb+2.40+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.26–2.85 Å. In the ninth Pb+2.40+ site, Pb+2.40+ is bonded in a distorted hexagonal pyramidal geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.26–2.79 Å. In the tenth Pb+2.40+ site, Pb+2.40+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Pb–O bond distances ranging from 2.20–2.73 Å. In the eleventh Pb+2.40+ site, Pb+2.40+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Pb–O bond distances ranging from 2.26–2.76 Å. In the twelfth Pb+2.40+ site, Pb+2.40+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Pb–O bond distances ranging from 2.20–2.76 Å. In the thirteenth Pb+2.40+ site, Pb+2.40+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.17–2.87 Å. In the fourteenth Pb+2.40+ site, Pb+2.40+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.26–2.86 Å. In the fifteenth Pb+2.40+ site, Pb+2.40+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.27–2.86 Å. There are nine inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the fifth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.30 Å) and two longer (1.31 Å) C–O bond length. In the sixth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the seventh C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.31 Å) C–O bond length. In the eighth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.32 Å. In the ninth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to three Pb+2.40+ and one C4+ atom. In the second O2- site, O2- is bonded in a single-bond geometry to three Pb+2.40+ and one C4+ atom. In the third O2- site, O2- is bonded in a single-bond geometry to three Pb+2.40+ and one C4+ atom. In the fourth O2- site, O2- is bonded in a single-bond geometry to two Pb+2.40+ and one C4+ atom. In the fifth O2- site, O2- is bonded in a single-bond geometry to three Pb+2.40+ and one C4+ atom. In the sixth O2- site, O2- is bonded in a single-bond geometry to two Pb+2.40+ and one C4+ atom. In the seventh O2- site, O2- is bonded in a single-bond geometry to two Pb+2.40+ and one C4+ atom. In the eighth O2- site, O2- is bonded in a single-bond geometry to three Pb+2.40+ and one C4+ atom. In the ninth O2- site, O2- is bonded in a single-bond geometry to two Pb+2.40+ and one C4+ atom. In the tenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Pb+2.40+ atoms. In the eleventh O2- site, O2- is bonded in a water-like geometry to two Pb+2.40+ atoms. In the twelfth O2- site, O2- is bonded in a single-bond geometry to three Pb+2.40+ and one C4+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to two Pb+2.40+ and one C4+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to two Pb+2.40+ and one C4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.40+ and one C4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.40+ and one C4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.40+ and one C4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.40+ and one C4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.40+ and one C4+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.40+ and one C4+ atom. In the twenty-first O2- site, O2- is bonded in a bent 120 degrees geometry to two Pb+2.40+ atoms. In the twenty-second O2- site, O2- is bonded in a bent 120 degrees geometry to two Pb+2.40+ atoms. In the twenty-third O2- site, O2- is bonded in a bent 120 degrees geometry to two Pb+2.40+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb+2.40+ and one C4+ atom. In the twenty-fifth O2- site, O2- is bonded in a single-bond geometry to three Pb+2.40+ and one C4+ atom. In the twenty-sixth O2- site, O2- is bonded in a single-bond geometry to two Pb+2.40+ and one C4+ atom. In the twenty-seventh O2- site, O2- is bonded in a single-bond geometry to two Pb+2.40+ and one C4+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb+2.40+ and one C4+ atom. In the twenty-ninth O2- site, O2- is bonded in a single-bond geometry to two Pb+2.40+ and one C4+ atom. In the thirtieth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Pb+2.40+ atoms. In the thirty-first O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Pb+2.40+ atoms. In the thirty-second O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Pb+2.40+ atoms. In the thirty-third O2- site, O2- is bonded in a tetrahedral geometry to four Pb+2.40+ atoms. In the thirty-fourth O2- site, O2- is bonded in a single-bond geometry to two Pb+2.40+ and one C4+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.40+ and one C4+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.40+ and one C4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ag5Sb23(PbS4)12 by Materials Project

Ag5Sb23(PbS4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Ag sites. In the first Ag site, Ag is bonded in a distorted see-saw-like geometry to four S atoms. There are a spread of Ag–S bond distances ranging from 2.51–2.74 Å. In the second Ag site, Ag is bonded in a see-saw-like geometry to four S atoms. There are a spread of Ag–S bond distances ranging from 2.49–2.79 Å. In the third Ag site, Ag is bonded in a see-saw-like geometry to four S atoms. There are a spread of Ag–S bond distances ranging from 2.51–2.77 Å. In the fourth Ag site, Ag is bonded in a see-saw-like geometry to four S atoms. There are a spread of Ag–S bond distances ranging from 2.50–2.75 Å. In the fifth Ag site, Ag is bonded to six S atoms to form AgS6 octahedra that share corners with two equivalent PbS6 octahedra and an edgeedge with one PbS6 octahedra. The corner-sharing octahedra tilt angles range from 14–28°. There are a spread of Ag–S bond distances ranging from 2.67–2.98 Å. There are twelve inequivalent Pb sites. In the first Pb site, Pb is bonded in a 4-coordinate geometry to four S atoms. There are a spread of Pb–S bond distances ranging from 2.77–3.10 Å. In the second Pb site, Pb is bonded in a 4-coordinate geometry to four S atoms. There are a spread of Pb–S bond distances ranging from 2.82–3.10 Å. In the third Pb site, Pb is bonded in a 4-coordinate geometry to four S atoms. There are a spread of Pb–S bond distances ranging from 2.83–3.05 Å. In the fourth Pb site, Pb is bonded in a 5-coordinate geometry to five S atoms. There are a spread of Pb–S bond distances ranging from 2.88–3.15 Å. In the fifth Pb site, Pb is bonded in a 7-coordinate geometry to seven S atoms. There are a spread of Pb–S bond distances ranging from 2.94–3.24 Å. In the sixth Pb site, Pb is bonded in a 6-coordinate geometry to six S atoms. There are a spread of Pb–S bond distances ranging from 2.91–3.15 Å. In the seventh Pb site, Pb is bonded in a 6-coordinate geometry to six S atoms. There are a spread of Pb–S bond distances ranging from 2.94–3.12 Å. In the eighth Pb site, Pb is bonded in a 6-coordinate geometry to six S atoms. There are a spread of Pb–S bond distances ranging from 2.96–3.13 Å. In the ninth Pb site, Pb is bonded to six S atoms to form PbS6 octahedra that share corners with two equivalent AgS6 octahedra, an edgeedge with one PbS6 octahedra, and an edgeedge with one SbS6 octahedra. The corner-sharing octahedra tilt angles range from 14–28°. There are a spread of Pb–S bond distances ranging from 2.88–3.13 Å. In the tenth Pb site, Pb is bonded to six S atoms to form PbS6 octahedra that share corners with two equivalent SbS6 octahedra, an edgeedge with one PbS6 octahedra, and an edgeedge with one SbS6 octahedra. The corner-sharing octahedra tilt angles range from 14–27°. There are a spread of Pb–S bond distances ranging from 2.89–3.09 Å. In the eleventh Pb site, Pb is bonded to six S atoms to form PbS6 octahedra that share corners with two equivalent SbS6 octahedra, an edgeedge with one AgS6 octahedra, and an edgeedge with one PbS6 octahedra. The corner-sharing octahedra tilt angles range from 14–27°. There are a spread of Pb–S bond distances ranging from 2.85–3.06 Å. In the twelfth Pb site, Pb is bonded to six S atoms to form PbS6 octahedra that share corners with two equivalent SbS6 octahedra, an edgeedge with one PbS6 octahedra, and an edgeedge with one SbS6 octahedra. The corner-sharing octahedra tilt angles range from 12–26°. There are a spread of Pb–S bond distances ranging from 2.87–3.13 Å. There are twenty-three inequivalent Sb sites. In the first Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.50–2.58 Å. In the second Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.46–2.59 Å. In the third Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are one shorter (2.50 Å) and two longer (2.57 Å) Sb–S bond lengths. In the fourth Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are one shorter (2.46 Å) and two longer (2.56 Å) Sb–S bond lengths. In the fifth Sb site, Sb is bonded in a rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.53–2.87 Å. In the sixth Sb site, Sb is bonded in a rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.54–2.94 Å. In the seventh Sb site, Sb is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.55–2.87 Å. In the eighth Sb site, Sb is bonded in a rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.51–2.96 Å. In the ninth Sb site, Sb is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.49–2.96 Å. In the tenth Sb site, Sb is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.50–2.94 Å. In the eleventh Sb site, Sb is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.50–2.93 Å. In the twelfth Sb site, Sb is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.43–2.97 Å. In the thirteenth Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.49–2.57 Å. In the fourteenth Sb site, Sb is bonded in a distorted T-shaped geometry to three S atoms. There are two shorter (2.51 Å) and one longer (2.53 Å) Sb–S bond lengths. In the fifteenth Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.49–2.59 Å. In the sixteenth Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.43–2.57 Å. In the seventeenth Sb site, Sb is bonded in a distorted T-shaped geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.46–2.54 Å. In the eighteenth Sb site, Sb is bonded in a distorted T-shaped geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.49–2.53 Å. In the nineteenth Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are two shorter (2.49 Å) and one longer (2.54 Å) Sb–S bond lengths. In the twentieth Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.49–2.54 Å. In the twenty-first Sb site, Sb is bonded to six S atoms to form SbS6 octahedra that share corners with two equivalent PbS6 octahedra and an edgeedge with one PbS6 octahedra. The corner-sharing octahedra tilt angles range from 14–27°. There are a spread of Sb–S bond distances ranging from 2.70–2.89 Å. In the twenty-second Sb site, Sb is bonded to six S atoms to form SbS6 octahedra that share corners with two equivalent PbS6 octahedra and an edgeedge with one PbS6 octahedra. The corner-sharing octahedra tilt angles range from 14–27°. There are a spread of Sb–S bond distances ranging from 2.69–2.94 Å. In the twenty-third Sb site, Sb is bonded to six S atoms to form SbS6 octahedra that share corners with two equivalent PbS6 octahedra and an edgeedge with one PbS6 octahedra. The corner-sharing octahedra tilt angles range from 12–26°. There are a spread of Sb–S bond distances ranging from 2.68–2.94 Å. There are forty-eight inequivalent S sites. In the first S site, S is bonded in a rectangular see-saw-like geometry to one Pb and three Sb atoms. In the second S site, S is bonded in a distorted rectangular see-saw-like geometry to one Ag, one Pb, and two Sb atoms. In the third S site, S is bonded in a distorted rectangular see-saw-like geometry to one Pb and three Sb atoms. In the fourth S site, S is bonded in a distorted rectangular see-saw-like geometry to one Pb and three Sb atoms. In the fifth S site, S is bonded to one Ag, two Pb, and one Sb atom to form distorted corner-sharing SAgSbPb2 tetrahedra. In the sixth S site, S is bonded to two Pb and two Sb atoms to form distorted corner-sharing SSb2Pb2 tetrahedra. In the seventh S site, S is bonded to two Pb and two Sb atoms to form distorted corner-sharing SSb2Pb2 tetrahedra. In the eighth S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the ninth S site, S is bonded to one Ag, two Pb, and one Sb atom to form distorted corner-sharing SAgSbPb2 tetrahedra. In the tenth S site, S is bonded to one Ag, two Pb, and one Sb atom to form distorted corner-sharing SAgSbPb2 tetrahedra. In the eleventh S site, S is bonded to one Ag, two Pb, and one Sb atom to form distorted corner-sharing SAgSbPb2 tetrahedra. In the twelfth S site, S is bonded in a 4-coordinate geometry to one Ag, two Pb, and one Sb atom. In the thirteenth S site, S is bonded in a 4-coordinate geometry to one Ag, one Pb, and two Sb atoms. In the fourteenth S site, S is bonded in a 4-coordinate geometry to one Ag, one Pb, and two Sb atoms. In the fifteenth S site, S is bonded in a 4-coordinate geometry to one Ag, one Pb, and two Sb atoms. In the sixteenth S site, S is bonded in a 5-coordinate geometry to two Ag, two Pb, and one Sb atom. In the seventeenth S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the eighteenth S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the nineteenth S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the twentieth S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the twenty-first S site, S is bonded in a 2-coordinate geometry to one Ag, one Pb, and one Sb atom. In the twenty-second S site, S is bonded in a 2-coordinate geometry to one Ag, one Pb, and one Sb atom. In the twenty-third S site, S is bonded in a 2-coordinate geometry to one Ag, one Pb, and one Sb atom. In the twenty-fourth S site, S is bonded in a 2-coordinate geometry to one Ag, one Pb, and one Sb atom. In the twenty-fifth S site, S is bonded in a distorted see-saw-like geometry to one Ag, two Pb, and one Sb atom. In the twenty-sixth S site, S is bonded in a distorted see-saw-like geometry to two Pb and two Sb atoms. In the twenty-seventh S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the twenty-eighth S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the twenty-ninth S site, S is bonded in a distorted rectangular see-saw-like geometry to one Ag, two Pb, and one Sb atom. In the thirtieth S site, S is bonded in a distorted rectangular see-saw-like geometry to two Pb and two Sb atoms. In the thirty-first S site, S is bonded in a distorted rectangular see-saw-like geometry to two Pb and two Sb atoms. In the thirty-second S site, S is bonded in a distorted rectangular see-saw-like geometry to two Pb and two Sb atoms. In the thirty-third S site, S is bonded in a distorted L-shaped geometry to one Pb and two Sb atoms. In the thirty-fourth S site, S is bonded in a 2-coordinate geometry to one Pb and two Sb atoms. In the thirty-fifth S site, S is bonded in a 2-coordinate geometry to one Pb and two Sb atoms. In the thirty-sixth S site, S is bonded in a distorted L-shaped geometry to one Pb and two Sb atoms. In the thirty-seventh S site, S is bonded in a 3-coordinate geometry to one Ag, one Pb, and two Sb atoms. In the thirty-eighth S site, S is bonded in a 4-coordinate geometry to one Ag, one Pb, and two Sb atoms. In the thirty-ninth S site, S is bonded in a distorted rectangular see-saw-like geometry to one Ag, one Pb, and two Sb atoms. In the fortieth S site, S is bonded in a 4-coordi

36 MATERIALS SCIENCE↗

Materials Data on Ag13(PbO3)6 by Materials Project

Ag13(PbO3)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-six inequivalent Ag+1.08+ sites. In the first Ag+1.08+ site, Ag+1.08+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. All Ag–O bond lengths are 2.32 Å. In the second Ag+1.08+ site, Ag+1.08+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are one shorter (2.24 Å) and two longer (2.33 Å) Ag–O bond lengths. In the third Ag+1.08+ site, Ag+1.08+ is bonded in a linear geometry to two O2- atoms. Both Ag–O bond lengths are 2.14 Å. In the fourth Ag+1.08+ site, Ag+1.08+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Ag–O bond distances ranging from 2.24–2.33 Å. In the fifth Ag+1.08+ site, Ag+1.08+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are one shorter (2.24 Å) and two longer (2.33 Å) Ag–O bond lengths. In the sixth Ag+1.08+ site, Ag+1.08+ is bonded in a linear geometry to two O2- atoms. There are one shorter (2.12 Å) and one longer (2.15 Å) Ag–O bond lengths. In the seventh Ag+1.08+ site, Ag+1.08+ is bonded in a linear geometry to two O2- atoms. There are one shorter (2.13 Å) and one longer (2.14 Å) Ag–O bond lengths. In the eighth Ag+1.08+ site, Ag+1.08+ is bonded in a linear geometry to two O2- atoms. Both Ag–O bond lengths are 2.13 Å. In the ninth Ag+1.08+ site, Ag+1.08+ is bonded in a linear geometry to two O2- atoms. There are one shorter (2.14 Å) and one longer (2.15 Å) Ag–O bond lengths. In the tenth Ag+1.08+ site, Ag+1.08+ is bonded in a linear geometry to two O2- atoms. There are one shorter (2.12 Å) and one longer (2.14 Å) Ag–O bond lengths. In the eleventh Ag+1.08+ site, Ag+1.08+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are two shorter (2.31 Å) and one longer (2.32 Å) Ag–O bond lengths. In the twelfth Ag+1.08+ site, Ag+1.08+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Ag–O bond distances ranging from 2.24–2.34 Å. In the thirteenth Ag+1.08+ site, Ag+1.08+ is bonded in a trigonal planar geometry to three O2- atoms. All Ag–O bond lengths are 2.31 Å. In the fourteenth Ag+1.08+ site, Ag+1.08+ is bonded in a linear geometry to two O2- atoms. There are one shorter (2.13 Å) and one longer (2.14 Å) Ag–O bond lengths. In the fifteenth Ag+1.08+ site, Ag+1.08+ is bonded in a linear geometry to two O2- atoms. Both Ag–O bond lengths are 2.14 Å. In the sixteenth Ag+1.08+ site, Ag+1.08+ is bonded in a linear geometry to two O2- atoms. Both Ag–O bond lengths are 2.14 Å. In the seventeenth Ag+1.08+ site, Ag+1.08+ is bonded in a linear geometry to two O2- atoms. There are one shorter (2.14 Å) and one longer (2.15 Å) Ag–O bond lengths. In the eighteenth Ag+1.08+ site, Ag+1.08+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are one shorter (2.30 Å) and two longer (2.31 Å) Ag–O bond lengths. In the nineteenth Ag+1.08+ site, Ag+1.08+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of Ag–O bond distances ranging from 2.24–2.32 Å. In the twentieth Ag+1.08+ site, Ag+1.08+ is bonded in a trigonal planar geometry to three O2- atoms. There are one shorter (2.24 Å) and two longer (2.33 Å) Ag–O bond lengths. In the twenty-first Ag+1.08+ site, Ag+1.08+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are one shorter (2.32 Å) and two longer (2.33 Å) Ag–O bond lengths. In the twenty-second Ag+1.08+ site, Ag+1.08+ is bonded in a linear geometry to two O2- atoms. There are one shorter (2.12 Å) and one longer (2.15 Å) Ag–O bond lengths. In the twenty-third Ag+1.08+ site, Ag+1.08+ is bonded in a linear geometry to two O2- atoms. Both Ag–O bond lengths are 2.15 Å. In the twenty-fourth Ag+1.08+ site, Ag+1.08+ is bonded in a linear geometry to two O2- atoms. Both Ag–O bond lengths are 2.13 Å. In the twenty-fifth Ag+1.08+ site, Ag+1.08+ is bonded in a linear geometry to two O2- atoms. Both Ag–O bond lengths are 2.13 Å. In the twenty-sixth Ag+1.08+ site, Ag+1.08+ is bonded in a linear geometry to two O2- atoms. There are one shorter (2.12 Å) and one longer (2.15 Å) Ag–O bond lengths. There are twelve inequivalent Pb+3.67+ sites. In the first Pb+3.67+ site, Pb+3.67+ is bonded to six O2- atoms to form edge-sharing PbO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.20–2.28 Å. In the second Pb+3.67+ site, Pb+3.67+ is bonded to six O2- atoms to form edge-sharing PbO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.22–2.29 Å. In the third Pb+3.67+ site, Pb+3.67+ is bonded to six O2- atoms to form edge-sharing PbO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.19–2.28 Å. In the fourth Pb+3.67+ site, Pb+3.67+ is bonded to six O2- atoms to form edge-sharing PbO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.20–2.27 Å. In the fifth Pb+3.67+ site, Pb+3.67+ is bonded to six O2- atoms to form edge-sharing PbO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.19–2.28 Å. In the sixth Pb+3.67+ site, Pb+3.67+ is bonded to six O2- atoms to form edge-sharing PbO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.19–2.28 Å. In the seventh Pb+3.67+ site, Pb+3.67+ is bonded to six O2- atoms to form edge-sharing PbO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.20–2.28 Å. In the eighth Pb+3.67+ site, Pb+3.67+ is bonded to six O2- atoms to form edge-sharing PbO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.21–2.28 Å. In the ninth Pb+3.67+ site, Pb+3.67+ is bonded to six O2- atoms to form edge-sharing PbO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.19–2.28 Å. In the tenth Pb+3.67+ site, Pb+3.67+ is bonded to six O2- atoms to form edge-sharing PbO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.22–2.28 Å. In the eleventh Pb+3.67+ site, Pb+3.67+ is bonded to six O2- atoms to form edge-sharing PbO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.18–2.28 Å. In the twelfth Pb+3.67+ site, Pb+3.67+ is bonded to six O2- atoms to form edge-sharing PbO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.19–2.28 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form a mixture of edge and corner-sharing OAg2Pb2 tetrahedra. In the second O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Ag+1.08+ and two Pb+3.67+ atoms. In the third O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form corner-sharing OAg2Pb2 tetrahedra. In the fourth O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form a mixture of edge and corner-sharing OAg2Pb2 tetrahedra. In the fifth O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form corner-sharing OAg2Pb2 tetrahedra. In the sixth O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form a mixture of edge and corner-sharing OAg2Pb2 tetrahedra. In the seventh O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form corner-sharing OAg2Pb2 tetrahedra. In the eighth O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form a mixture of edge and corner-sharing OAg2Pb2 tetrahedra. In the ninth O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form a mixture of edge and corner-sharing OAg2Pb2 tetrahedra. In the tenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Ag+1.08+ and two Pb+3.67+ atoms. In the eleventh O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form a mixture of edge and corner-sharing OAg2Pb2 tetrahedra. In the twelfth O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form a mixture of edge and corner-sharing OAg2Pb2 tetrahedra. In the thirteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Ag+1.08+ and two Pb+3.67+ atoms. In the fourteenth O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form corner-sharing OAg2Pb2 tetrahedra. In the fifteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Ag+1.08+ and two Pb+3.67+ atoms. In the sixteenth O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form corner-sharing OAg2Pb2 tetrahedra. In the seventeenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Ag+1.08+ and two Pb+3.67+ atoms. In the eighteenth O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form a mixture of edge and corner-sharing OAg2Pb2 tetrahedra. In the nineteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Ag+1.08+ and two Pb+3.67+ atoms. In the twentieth O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form corner-sharing OAg2Pb2 tetrahedra. In the twenty-first O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form a mixture of edge and corner-sharing OAg2Pb2 tetrahedra. In the twenty-second O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form a mixture of edge and corner-sharing OAg2Pb2 tetrahedra. In the twenty-third O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Ag+1.08+ and two Pb+3.67+ atoms. In the twenty-fourth O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form corner-sharing OAg2Pb2 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form a mixture of edge and corner-sharing OAg2Pb2 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form a mixture of edge and corner-sharing OAg2Pb2 tetrahedra. In the twenty-seventh O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form a mixture of edge and corner-sharing OAg2Pb2 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form a mixture of edge and corner-sharing OAg2Pb2 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form a mixture of edge and corner-sharing OAg2Pb2 tetrahedra. In the thirtieth O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form a mixture of edge and corner-sharing OAg2Pb2 tetrahedra. In the thirty-first O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Ag+1.08+ and two Pb+3.67+ atoms. In the thirty-second O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form a mixture of edge and corner-sharing OAg2Pb2 tetrahedra. In the thirty-third O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form a mixture of edge and corner-sharing OAg2Pb2 tetrahedra. In the thirty-fourth O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form corner-sharing OAg2Pb2 tetrahedra. In the thirty-fifth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Ag+1.08+ and two Pb+3.67+ atoms. In the thirty-sixth O2- site, O2- is bonded to two Ag+1.08+ and two Pb+3.67+ atoms to form corner-sharing OAg2Pb2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Pb4C2SO12 by Materials Project

Pb4C2SO12 crystallizes in the triclinic P1 space group. The structure is two-dimensional and consists of one Pb4C2SO12 sheet oriented in the (0, 0, 1) direction. there are twelve inequivalent Pb+2.50+ sites. In the first Pb+2.50+ site, Pb+2.50+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.28–2.85 Å. In the second Pb+2.50+ site, Pb+2.50+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.28–2.84 Å. In the third Pb+2.50+ site, Pb+2.50+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.28–2.85 Å. In the fourth Pb+2.50+ site, Pb+2.50+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.27–2.88 Å. In the fifth Pb+2.50+ site, Pb+2.50+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.27–2.87 Å. In the sixth Pb+2.50+ site, Pb+2.50+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.28–2.87 Å. In the seventh Pb+2.50+ site, Pb+2.50+ is bonded in a 1-coordinate geometry to ten O2- atoms. There are a spread of Pb–O bond distances ranging from 2.38–3.13 Å. In the eighth Pb+2.50+ site, Pb+2.50+ is bonded in a 1-coordinate geometry to eight O2- atoms. There are a spread of Pb–O bond distances ranging from 2.38–2.97 Å. In the ninth Pb+2.50+ site, Pb+2.50+ is bonded in a 1-coordinate geometry to eight O2- atoms. There are a spread of Pb–O bond distances ranging from 2.38–2.98 Å. In the tenth Pb+2.50+ site, Pb+2.50+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Pb–O bond distances ranging from 2.56–2.96 Å. In the eleventh Pb+2.50+ site, Pb+2.50+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Pb–O bond distances ranging from 2.56–2.97 Å. In the twelfth Pb+2.50+ site, Pb+2.50+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Pb–O bond distances ranging from 2.56–2.97 Å. There are six inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the fifth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the sixth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. There are three inequivalent S6+ sites. In the first S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There is three shorter (1.48 Å) and one longer (1.55 Å) S–O bond length. In the second S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.49–1.51 Å. In the third S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.48–1.53 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Pb+2.50+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Pb+2.50+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Pb+2.50+ atoms. In the fourth O2- site, O2- is bonded in a water-like geometry to two Pb+2.50+ atoms. In the fifth O2- site, O2- is bonded in a water-like geometry to two Pb+2.50+ atoms. In the sixth O2- site, O2- is bonded in a water-like geometry to three Pb+2.50+ atoms. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to three Pb+2.50+ and one C4+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb+2.50+ and one C4+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb+2.50+ and one C4+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb+2.50+ and one C4+ atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to three Pb+2.50+ and one C4+ atom. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb+2.50+ and one C4+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to three Pb+2.50+ and one C4+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to three Pb+2.50+ and one C4+ atom. In the fifteenth O2- site, O2- is bonded in a single-bond geometry to three Pb+2.50+ and one C4+ atom. In the sixteenth O2- site, O2- is bonded in a single-bond geometry to three Pb+2.50+ and one C4+ atom. In the seventeenth O2- site, O2- is bonded in a single-bond geometry to three Pb+2.50+ and one C4+ atom. In the eighteenth O2- site, O2- is bonded in a single-bond geometry to three Pb+2.50+ and one C4+ atom. In the nineteenth O2- site, O2- is bonded in a single-bond geometry to three Pb+2.50+ and one C4+ atom. In the twentieth O2- site, O2- is bonded in a single-bond geometry to three Pb+2.50+ and one C4+ atom. In the twenty-first O2- site, O2- is bonded in a single-bond geometry to three Pb+2.50+ and one C4+ atom. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.50+ and one C4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.50+ and one C4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb+2.50+ and one C4+ atom. In the twenty-fifth O2- site, O2- is bonded in a single-bond geometry to three Pb+2.50+ and one S6+ atom. In the twenty-sixth O2- site, O2- is bonded in a single-bond geometry to two Pb+2.50+ and one S6+ atom. In the twenty-seventh O2- site, O2- is bonded in a single-bond geometry to two Pb+2.50+ and one S6+ atom. In the twenty-eighth O2- site, O2- is bonded in a single-bond geometry to two Pb+2.50+ and one S6+ atom. In the twenty-ninth O2- site, O2- is bonded in a single-bond geometry to three Pb+2.50+ and one S6+ atom. In the thirtieth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.50+ and one S6+ atom. In the thirty-first O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.50+ and one S6+ atom. In the thirty-second O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.50+ and one S6+ atom. In the thirty-third O2- site, O2- is bonded in a single-bond geometry to three Pb+2.50+ and one S6+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.50+ and one S6+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.50+ and one S6+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.50+ and one S6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Te4H4Pb12C2Cl3O29 by Materials Project

Pb12C2H4Te4O29Cl3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Pb+2.17+ sites. In the first Pb+2.17+ site, Pb+2.17+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.38–2.97 Å. In the second Pb+2.17+ site, Pb+2.17+ is bonded in a 6-coordinate geometry to five O2- and one Cl1- atom. There are a spread of Pb–O bond distances ranging from 2.49–2.76 Å. The Pb–Cl bond length is 2.97 Å. In the third Pb+2.17+ site, Pb+2.17+ is bonded in a 6-coordinate geometry to five O2- and one Cl1- atom. There are a spread of Pb–O bond distances ranging from 2.46–2.76 Å. The Pb–Cl bond length is 2.95 Å. In the fourth Pb+2.17+ site, Pb+2.17+ is bonded in a 6-coordinate geometry to five O2- and one Cl1- atom. There are a spread of Pb–O bond distances ranging from 2.50–2.74 Å. The Pb–Cl bond length is 2.98 Å. In the fifth Pb+2.17+ site, Pb+2.17+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Pb–O bond distances ranging from 2.32–2.79 Å. In the sixth Pb+2.17+ site, Pb+2.17+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Pb–O bond distances ranging from 2.32–2.79 Å. In the seventh Pb+2.17+ site, Pb+2.17+ is bonded in a 4-coordinate geometry to three O2- atoms. There are a spread of Pb–O bond distances ranging from 2.34–2.43 Å. In the eighth Pb+2.17+ site, Pb+2.17+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Pb–O bond distances ranging from 2.32–2.80 Å. In the ninth Pb+2.17+ site, Pb+2.17+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Pb–O bond distances ranging from 2.35–2.79 Å. In the tenth Pb+2.17+ site, Pb+2.17+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Pb–O bond distances ranging from 2.35–2.77 Å. In the eleventh Pb+2.17+ site, Pb+2.17+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Pb–O bond distances ranging from 2.37–2.85 Å. In the twelfth Pb+2.17+ site, Pb+2.17+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Pb–O bond distances ranging from 2.36–2.76 Å. There are two inequivalent C+3.50+ sites. In the first C+3.50+ site, C+3.50+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the second C+3.50+ site, C+3.50+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. There are four inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. There are four inequivalent Te6+ sites. In the first Te6+ site, Te6+ is bonded to six O2- atoms to form edge-sharing TeO6 octahedra. There are a spread of Te–O bond distances ranging from 1.92–2.01 Å. In the second Te6+ site, Te6+ is bonded to six O2- atoms to form edge-sharing TeO6 octahedra. There are a spread of Te–O bond distances ranging from 1.92–2.01 Å. In the third Te6+ site, Te6+ is bonded to six O2- atoms to form edge-sharing TeO6 octahedra. There are a spread of Te–O bond distances ranging from 1.92–2.01 Å. In the fourth Te6+ site, Te6+ is bonded to six O2- atoms to form edge-sharing TeO6 octahedra. There are a spread of Te–O bond distances ranging from 1.92–2.01 Å. There are twenty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to two Pb+2.17+ and one C+3.50+ atom. In the second O2- site, O2- is bonded in a single-bond geometry to two Pb+2.17+ and one C+3.50+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Pb+2.17+ and one Te6+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Pb+2.17+ and one Te6+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Pb+2.17+ and one Te6+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Pb+2.17+ and one Te6+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.17+ and one C+3.50+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.17+ and one C+3.50+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to one Pb+2.17+ and one C+3.50+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.17+ and one C+3.50+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three Pb+2.17+ and one Te6+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to three Pb+2.17+ and one Te6+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Pb+2.17+ and one Te6+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Pb+2.17+ and one Te6+ atom. In the fifteenth O2- site, O2- is bonded in a distorted water-like geometry to one Pb+2.17+ and two Te6+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted water-like geometry to one Pb+2.17+ and two Te6+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted water-like geometry to one Pb+2.17+ and two Te6+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted water-like geometry to one Pb+2.17+ and two Te6+ atoms. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Pb+2.17+ and one Te6+ atom. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to two Pb+2.17+ and one Te6+ atom. In the twenty-first O2- site, O2- is bonded in a 1-coordinate geometry to two Pb+2.17+ and one Te6+ atom. In the twenty-second O2- site, O2- is bonded in a 1-coordinate geometry to two Pb+2.17+ and one Te6+ atom. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to two Pb+2.17+ and one Te6+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Pb+2.17+ and one Te6+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Pb+2.17+ and one Te6+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Pb+2.17+ and one Te6+ atom. In the twenty-seventh O2- site, O2- is bonded in a water-like geometry to two Pb+2.17+ and two H1+ atoms. In the twenty-eighth O2- site, O2- is bonded in a water-like geometry to two Pb+2.17+ and two H1+ atoms. In the twenty-ninth O2- site, O2- is bonded in a single-bond geometry to one Pb+2.17+ atom. There are three inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a distorted single-bond geometry to one Pb+2.17+ atom. In the second Cl1- site, Cl1- is bonded in a distorted single-bond geometry to one Pb+2.17+ atom. In the third Cl1- site, Cl1- is bonded in a distorted single-bond geometry to one Pb+2.17+ atom.

36 MATERIALS SCIENCE↗

Materials Data on K4Pb9 by Materials Project

K4Pb9 is Magnesium tetraboride-like structured and crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are five inequivalent K sites. In the first K site, K is bonded in a 8-coordinate geometry to eight Pb atoms. There are a spread of K–Pb bond distances ranging from 3.71–4.06 Å. In the second K site, K is bonded in a 7-coordinate geometry to seven Pb atoms. There are a spread of K–Pb bond distances ranging from 3.75–3.90 Å. In the third K site, K is bonded in a 8-coordinate geometry to eight Pb atoms. There are a spread of K–Pb bond distances ranging from 3.66–4.01 Å. In the fourth K site, K is bonded in a 8-coordinate geometry to eight Pb atoms. There are a spread of K–Pb bond distances ranging from 3.70–4.13 Å. In the fifth K site, K is bonded in a 7-coordinate geometry to seven Pb atoms. There are a spread of K–Pb bond distances ranging from 3.59–3.78 Å. There are twelve inequivalent Pb sites. In the first Pb site, Pb is bonded in a distorted body-centered cubic geometry to four K and four Pb atoms. There are two shorter (3.17 Å) and two longer (3.20 Å) Pb–Pb bond lengths. In the second Pb site, Pb is bonded in a 1-coordinate geometry to three K and five Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.15–3.52 Å. In the third Pb site, Pb is bonded in a 9-coordinate geometry to four K and five Pb atoms. There are two shorter (3.26 Å) and two longer (3.28 Å) Pb–Pb bond lengths. In the fourth Pb site, Pb is bonded in a 1-coordinate geometry to three K and five Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.15–3.48 Å. In the fifth Pb site, Pb is bonded in a 1-coordinate geometry to two K and four Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.16–3.23 Å. In the sixth Pb site, Pb is bonded in a 8-coordinate geometry to four K and four Pb atoms. There are one shorter (3.18 Å) and one longer (3.19 Å) Pb–Pb bond lengths. In the seventh Pb site, Pb is bonded in a 6-coordinate geometry to three K and three Pb atoms. There are one shorter (3.14 Å) and two longer (3.20 Å) Pb–Pb bond lengths. In the eighth Pb site, Pb is bonded in a 8-coordinate geometry to four K and four Pb atoms. There are one shorter (3.16 Å) and one longer (3.21 Å) Pb–Pb bond lengths. In the ninth Pb site, Pb is bonded in a 1-coordinate geometry to five K and four Pb atoms. In the tenth Pb site, Pb is bonded in a 2-coordinate geometry to three K and four Pb atoms. In the eleventh Pb site, Pb is bonded in a 1-coordinate geometry to four K and four Pb atoms. There are one shorter (3.16 Å) and one longer (3.23 Å) Pb–Pb bond lengths. In the twelfth Pb site, Pb is bonded in a 7-coordinate geometry to three K and four Pb atoms. The Pb–Pb bond length is 3.20 Å.

36 MATERIALS SCIENCE↗

Materials Data on Rb4Pb9 by Materials Project

Rb4Pb9 is Magnesium tetraboride-like structured and crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are five inequivalent Rb sites. In the first Rb site, Rb is bonded in a 7-coordinate geometry to seven Pb atoms. There are a spread of Rb–Pb bond distances ranging from 3.82–3.93 Å. In the second Rb site, Rb is bonded in a 8-coordinate geometry to eight Pb atoms. There are a spread of Rb–Pb bond distances ranging from 3.87–4.29 Å. In the third Rb site, Rb is bonded in a 8-coordinate geometry to eight Pb atoms. There are a spread of Rb–Pb bond distances ranging from 3.84–4.14 Å. In the fourth Rb site, Rb is bonded in a 7-coordinate geometry to seven Pb atoms. There are a spread of Rb–Pb bond distances ranging from 4.01–4.04 Å. In the fifth Rb site, Rb is bonded in a 7-coordinate geometry to eight Pb atoms. There are a spread of Rb–Pb bond distances ranging from 3.81–4.35 Å. There are twelve inequivalent Pb sites. In the first Pb site, Pb is bonded in a 8-coordinate geometry to four Rb and four Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.14–3.27 Å. In the second Pb site, Pb is bonded in a 1-coordinate geometry to three Rb and five Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.13–3.50 Å. In the third Pb site, Pb is bonded in a 1-coordinate geometry to three Rb and five Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.15–3.45 Å. In the fourth Pb site, Pb is bonded in a 8-coordinate geometry to four Rb and four Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.16–3.25 Å. In the fifth Pb site, Pb is bonded in a 6-coordinate geometry to three Rb and five Pb atoms. There are one shorter (3.14 Å) and two longer (3.53 Å) Pb–Pb bond lengths. In the sixth Pb site, Pb is bonded in a 2-coordinate geometry to four Rb and four Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.16–3.20 Å. In the seventh Pb site, Pb is bonded in a distorted body-centered cubic geometry to four Rb and four Pb atoms. In the eighth Pb site, Pb is bonded in a 9-coordinate geometry to four Rb and five Pb atoms. Both Pb–Pb bond lengths are 3.25 Å. In the ninth Pb site, Pb is bonded in a 7-coordinate geometry to three Rb and four Pb atoms. In the tenth Pb site, Pb is bonded in a 1-coordinate geometry to five Rb and four Pb atoms. Both Pb–Pb bond lengths are 3.16 Å. In the eleventh Pb site, Pb is bonded in a 7-coordinate geometry to three Rb and four Pb atoms. There are one shorter (3.22 Å) and one longer (3.23 Å) Pb–Pb bond lengths. In the twelfth Pb site, Pb is bonded in a 1-coordinate geometry to two Rb and five Pb atoms.

36 MATERIALS SCIENCE↗

Materials Data on K6CdPb8 by Materials Project

K6CdPb8 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are nine inequivalent K sites. In the first K site, K is bonded in a 1-coordinate geometry to eight Pb atoms. There are a spread of K–Pb bond distances ranging from 3.78–4.13 Å. In the second K site, K is bonded in a 2-coordinate geometry to eight Pb atoms. There are a spread of K–Pb bond distances ranging from 3.60–4.01 Å. In the third K site, K is bonded in a 1-coordinate geometry to seven Pb atoms. There are a spread of K–Pb bond distances ranging from 3.68–4.14 Å. In the fourth K site, K is bonded in a 2-coordinate geometry to two Cd and eight Pb atoms. There are one shorter (3.87 Å) and one longer (3.99 Å) K–Cd bond lengths. There are a spread of K–Pb bond distances ranging from 3.71–4.08 Å. In the fifth K site, K is bonded in a 9-coordinate geometry to one K and nine Pb atoms. The K–K bond length is 3.85 Å. There are a spread of K–Pb bond distances ranging from 3.90–3.96 Å. In the sixth K site, K is bonded in a 9-coordinate geometry to one K and nine Pb atoms. The K–K bond length is 3.97 Å. There are a spread of K–Pb bond distances ranging from 3.80–3.99 Å. In the seventh K site, K is bonded in a 1-coordinate geometry to four K and eleven Pb atoms. Both K–K bond lengths are 4.15 Å. There are a spread of K–Pb bond distances ranging from 3.86–4.10 Å. In the eighth K site, K is bonded in a 1-coordinate geometry to seven Pb atoms. There are a spread of K–Pb bond distances ranging from 3.49–4.05 Å. In the ninth K site, K is bonded in a 1-coordinate geometry to two equivalent K and nine Pb atoms. There are a spread of K–Pb bond distances ranging from 3.62–4.12 Å. There are two inequivalent Cd sites. In the first Cd site, Cd is bonded in a 6-coordinate geometry to one K and six Pb atoms. There are a spread of Cd–Pb bond distances ranging from 3.14–3.25 Å. In the second Cd site, Cd is bonded in a 6-coordinate geometry to two equivalent K and six Pb atoms. There are two shorter (3.16 Å) and four longer (3.19 Å) Cd–Pb bond lengths. There are nine inequivalent Pb sites. In the first Pb site, Pb is bonded in a 10-coordinate geometry to seven K and three Pb atoms. There are two shorter (3.17 Å) and one longer (3.30 Å) Pb–Pb bond lengths. In the second Pb site, Pb is bonded in a 1-coordinate geometry to six K and three Pb atoms. The Pb–Pb bond length is 3.06 Å. In the third Pb site, Pb is bonded in a 10-coordinate geometry to seven K and three Pb atoms. In the fourth Pb site, Pb is bonded in a 1-coordinate geometry to six K, one Cd, and four Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.09–3.62 Å. In the fifth Pb site, Pb is bonded in a 12-coordinate geometry to six K, two Cd, and four Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.21–3.59 Å. In the sixth Pb site, Pb is bonded in a 10-coordinate geometry to six K, one Cd, and three Pb atoms. The Pb–Pb bond length is 3.09 Å. In the seventh Pb site, Pb is bonded in a 10-coordinate geometry to six K, one Cd, and three Pb atoms. The Pb–Pb bond length is 3.07 Å. In the eighth Pb site, Pb is bonded in a 10-coordinate geometry to six K, one Cd, and three Pb atoms. In the ninth Pb site, Pb is bonded in a 10-coordinate geometry to seven K and three Pb atoms.

36 MATERIALS SCIENCE↗

Materials Data on CdP6Pb9O26 by Materials Project

CdPb9P6O26 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Cd2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Cd–O bond distances ranging from 2.37–2.43 Å. There are nine inequivalent Pb+2.22+ sites. In the first Pb+2.22+ site, Pb+2.22+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.24–3.06 Å. In the second Pb+2.22+ site, Pb+2.22+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.44–3.06 Å. In the third Pb+2.22+ site, Pb+2.22+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.36–3.03 Å. In the fourth Pb+2.22+ site, Pb+2.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.44–2.70 Å. In the fifth Pb+2.22+ site, Pb+2.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.23–2.72 Å. In the sixth Pb+2.22+ site, Pb+2.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.41–2.73 Å. In the seventh Pb+2.22+ site, Pb+2.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.57–2.71 Å. In the eighth Pb+2.22+ site, Pb+2.22+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Pb–O bond distances ranging from 2.56–2.96 Å. In the ninth Pb+2.22+ site, Pb+2.22+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Pb–O bond distances ranging from 2.62–2.83 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the second P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There is three shorter (1.56 Å) and one longer (1.57 Å) P–O bond length. In the third P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the fourth P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the fifth P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the sixth P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. There are twenty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to one Cd2+, two Pb+2.22+, and one P5+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to one Cd2+, two Pb+2.22+, and one P5+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to one Cd2+, two Pb+2.22+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.22+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.22+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.22+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to three Pb+2.22+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb+2.22+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb+2.22+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb+2.22+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to three Pb+2.22+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb+2.22+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.22+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.22+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.22+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.22+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.22+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb+2.22+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb+2.22+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb+2.22+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted single-bond geometry to three Pb+2.22+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 1-coordinate geometry to one Cd2+, two Pb+2.22+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to one Cd2+, two Pb+2.22+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Cd2+, two Pb+2.22+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a trigonal planar geometry to three Pb+2.22+ atoms. In the twenty-sixth O2- site, O2- is bonded in a trigonal planar geometry to three Pb+2.22+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Cs4Pb9 by Materials Project

Cs4Pb9 is Magnesium tetraboride-like structured and crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are four inequivalent Cs sites. In the first Cs site, Cs is bonded in a 8-coordinate geometry to eight Pb atoms. There are a spread of Cs–Pb bond distances ranging from 3.94–4.26 Å. In the second Cs site, Cs is bonded in a 9-coordinate geometry to nine Pb atoms. There are a spread of Cs–Pb bond distances ranging from 4.17–4.47 Å. In the third Cs site, Cs is bonded in a 7-coordinate geometry to ten Pb atoms. There are a spread of Cs–Pb bond distances ranging from 3.98–4.61 Å. In the fourth Cs site, Cs is bonded in a 7-coordinate geometry to eight Pb atoms. There are a spread of Cs–Pb bond distances ranging from 3.99–4.65 Å. There are nine inequivalent Pb sites. In the first Pb site, Pb is bonded in a 1-coordinate geometry to five Cs and four Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.16–3.21 Å. In the second Pb site, Pb is bonded in a 9-coordinate geometry to four Cs and five Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.14–3.50 Å. In the third Pb site, Pb is bonded in a 8-coordinate geometry to four Cs and four Pb atoms. There are one shorter (3.21 Å) and one longer (3.24 Å) Pb–Pb bond lengths. In the fourth Pb site, Pb is bonded in a 7-coordinate geometry to three Cs and four Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.14–3.20 Å. In the fifth Pb site, Pb is bonded in a 9-coordinate geometry to four Cs and five Pb atoms. There are a spread of Pb–Pb bond distances ranging from 3.17–3.33 Å. In the sixth Pb site, Pb is bonded in a 8-coordinate geometry to three Cs and five Pb atoms. The Pb–Pb bond length is 3.43 Å. In the seventh Pb site, Pb is bonded in a 9-coordinate geometry to four Cs and five Pb atoms. The Pb–Pb bond length is 3.24 Å. In the eighth Pb site, Pb is bonded in a 8-coordinate geometry to four Cs and four Pb atoms. The Pb–Pb bond length is 3.21 Å. In the ninth Pb site, Pb is bonded in a 1-coordinate geometry to four Cs and four Pb atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pb13(Br3O5)2 by Materials Project

Pb13(O5Br3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-six inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to four O2- and three Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.36–2.59 Å. There are a spread of Pb–Br bond distances ranging from 3.51–3.73 Å. In the second Pb2+ site, Pb2+ is bonded in a 3-coordinate geometry to three O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.24–2.38 Å. There are one shorter (3.41 Å) and one longer (3.54 Å) Pb–Br bond lengths. In the third Pb2+ site, Pb2+ is bonded in a 2-coordinate geometry to two O2- and three Br1- atoms. There are one shorter (2.24 Å) and one longer (2.30 Å) Pb–O bond lengths. There are a spread of Pb–Br bond distances ranging from 3.12–3.51 Å. In the fourth Pb2+ site, Pb2+ is bonded in a distorted L-shaped geometry to two O2- and four Br1- atoms. Both Pb–O bond lengths are 2.29 Å. There are two shorter (3.12 Å) and two longer (3.61 Å) Pb–Br bond lengths. In the fifth Pb2+ site, Pb2+ is bonded in a 3-coordinate geometry to three O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.24–2.38 Å. There are one shorter (3.39 Å) and one longer (3.54 Å) Pb–Br bond lengths. In the sixth Pb2+ site, Pb2+ is bonded in a distorted L-shaped geometry to two O2- and one Br1- atom. There are one shorter (2.21 Å) and one longer (2.26 Å) Pb–O bond lengths. The Pb–Br bond length is 3.05 Å. In the seventh Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to four O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.38–2.48 Å. There are one shorter (3.64 Å) and one longer (3.67 Å) Pb–Br bond lengths. In the eighth Pb2+ site, Pb2+ is bonded in a 3-coordinate geometry to three O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.24–2.38 Å. There are one shorter (3.41 Å) and one longer (3.54 Å) Pb–Br bond lengths. In the ninth Pb2+ site, Pb2+ is bonded in a 3-coordinate geometry to four O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.34–2.91 Å. There are one shorter (3.49 Å) and one longer (3.55 Å) Pb–Br bond lengths. In the tenth Pb2+ site, Pb2+ is bonded in a distorted L-shaped geometry to two O2- and one Br1- atom. There are one shorter (2.21 Å) and one longer (2.26 Å) Pb–O bond lengths. The Pb–Br bond length is 3.02 Å. In the eleventh Pb2+ site, Pb2+ is bonded in a distorted L-shaped geometry to two O2- and three Br1- atoms. There are one shorter (2.24 Å) and one longer (2.31 Å) Pb–O bond lengths. There are a spread of Pb–Br bond distances ranging from 3.13–3.51 Å. In the twelfth Pb2+ site, Pb2+ is bonded in a distorted L-shaped geometry to two O2- and three Br1- atoms. There are one shorter (2.24 Å) and one longer (2.31 Å) Pb–O bond lengths. There are a spread of Pb–Br bond distances ranging from 3.12–3.52 Å. In the thirteenth Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to four O2- and three Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.36–2.58 Å. There are a spread of Pb–Br bond distances ranging from 3.56–3.70 Å. In the fourteenth Pb2+ site, Pb2+ is bonded in a distorted L-shaped geometry to two O2- and one Br1- atom. There are one shorter (2.21 Å) and one longer (2.25 Å) Pb–O bond lengths. The Pb–Br bond length is 3.03 Å. In the fifteenth Pb2+ site, Pb2+ is bonded in a distorted L-shaped geometry to two O2- and one Br1- atom. There are one shorter (2.21 Å) and one longer (2.26 Å) Pb–O bond lengths. The Pb–Br bond length is 3.05 Å. In the sixteenth Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to four O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.38–2.48 Å. There are one shorter (3.63 Å) and one longer (3.65 Å) Pb–Br bond lengths. In the seventeenth Pb2+ site, Pb2+ is bonded in a 3-coordinate geometry to four O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.33–2.95 Å. There are one shorter (3.47 Å) and one longer (3.52 Å) Pb–Br bond lengths. In the eighteenth Pb2+ site, Pb2+ is bonded in a distorted L-shaped geometry to two O2- and four Br1- atoms. Both Pb–O bond lengths are 2.29 Å. There are a spread of Pb–Br bond distances ranging from 3.11–3.60 Å. In the nineteenth Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to four O2- and three Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.36–2.58 Å. There are a spread of Pb–Br bond distances ranging from 3.53–3.72 Å. In the twentieth Pb2+ site, Pb2+ is bonded in a 3-coordinate geometry to three O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.24–2.38 Å. There are one shorter (3.41 Å) and one longer (3.53 Å) Pb–Br bond lengths. In the twenty-first Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to four O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.39–2.47 Å. There are one shorter (3.61 Å) and one longer (3.66 Å) Pb–Br bond lengths. In the twenty-second Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to four O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.38–2.48 Å. There are one shorter (3.61 Å) and one longer (3.66 Å) Pb–Br bond lengths. In the twenty-third Pb2+ site, Pb2+ is bonded in a 3-coordinate geometry to four O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.34–2.92 Å. There are one shorter (3.50 Å) and one longer (3.56 Å) Pb–Br bond lengths. In the twenty-fourth Pb2+ site, Pb2+ is bonded in a distorted L-shaped geometry to two O2- and three Br1- atoms. There are one shorter (2.24 Å) and one longer (2.31 Å) Pb–O bond lengths. There are a spread of Pb–Br bond distances ranging from 3.12–3.52 Å. In the twenty-fifth Pb2+ site, Pb2+ is bonded in a 3-coordinate geometry to four O2- and two Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.34–2.88 Å. There are one shorter (3.49 Å) and one longer (3.55 Å) Pb–Br bond lengths. In the twenty-sixth Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to four O2- and three Br1- atoms. There are a spread of Pb–O bond distances ranging from 2.36–2.58 Å. There are a spread of Pb–Br bond distances ranging from 3.55–3.71 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of edge and corner-sharing OPb4 tetrahedra. In the second O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of edge and corner-sharing OPb4 tetrahedra. In the third O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to four Pb2+ atoms. In the fifth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to four Pb2+ atoms. In the seventh O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of edge and corner-sharing OPb4 tetrahedra. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb2+ atoms. In the ninth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the tenth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of edge and corner-sharing OPb4 tetrahedra. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to four Pb2+ atoms. In the fifteenth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of edge and corner-sharing OPb4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of edge and corner-sharing OPb4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of edge and corner-sharing OPb4 tetrahedra. In the twentieth O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of edge and corner-sharing OPb4 tetrahedra. There are twelve inequivalent Br1- sites. In the first Br1- site, Br1- is bonded in a 1-coordinate geometry to five Pb2+ atoms. In the second Br1- site, Br1- is bonded in a 2-coordinate geometry to two Pb2+ atoms. In the third Br1- site, Br1- is bonded in a 1-coordinate geometry to five Pb2+ atoms. In the fourth Br1- site, Br1- is bonded in a 2-coordinate geometry to two Pb2+ atoms. In the fifth Br1- site, Br1- is bonded in a 1-coordinate geometry to five Pb2+ atoms. In the sixth Br1- site, Br1- is bonded in a 8-coordinate geometry to eight Pb2+ atoms. In the seventh Br1- site, Br1- is bonded in a distorted body-centered cubic geometry to eight Pb2+ atoms. In the eighth Br1- site, Br1- is bonded in a 8-coordinate geometry to eight Pb2+ atoms. In the ninth Br1- site, Br1- is bonded in a 8-coordinate geometry to eight Pb2+ atoms. In the tenth Br1- site, Br1- is bonded in a 1-coordinate geometry to five Pb2+ atoms. In the eleventh Br1- site, Br1- is bonded in a 2-coordinate geometry to two Pb2+ atoms. In the twelfth Br1- site, Br1- is bonded in a 2-coordinate geometry to two Pb2+ atoms.

36 MATERIALS SCIENCE↗