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Materials Data on Bi4Te7Pb by Materials Project

PbBi4Te7 is MAX Phase-like structured and crystallizes in the trigonal P-3m1 space group. The structure is two-dimensional and consists of one Bi2Te3 sheet oriented in the (0, 0, 1) direction and one PbBi2Te4 sheet oriented in the (0, 0, 1) direction. In the Bi2Te3 sheet, Bi3+ is bonded to six Te2- atoms to form a mixture of corner and edge-sharing BiTe6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (3.10 Å) and three longer (3.29 Å) Bi–Te bond lengths. There are two inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in a 6-coordinate geometry to three equivalent Bi3+ atoms. In the second Te2- site, Te2- is bonded to six equivalent Bi3+ atoms to form edge-sharing TeBi6 octahedra. In the PbBi2Te4 sheet, Pb2+ is bonded to six equivalent Te2- atoms to form PbTe6 octahedra that share corners with six equivalent BiTe6 octahedra, edges with six equivalent PbTe6 octahedra, and edges with six equivalent BiTe6 octahedra. The corner-sharing octahedral tilt angles are 1°. All Pb–Te bond lengths are 3.26 Å. Bi3+ is bonded to six Te2- atoms to form BiTe6 octahedra that share corners with three equivalent PbTe6 octahedra, edges with three equivalent PbTe6 octahedra, and edges with six equivalent BiTe6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are three shorter (3.09 Å) and three longer (3.30 Å) Bi–Te bond lengths. There are two inequivalent Te2- sites. In the first Te2- site, Te2- is bonded to three equivalent Pb2+ and three equivalent Bi3+ atoms to form a mixture of corner and edge-sharing TeBi3Pb3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second Te2- site, Te2- is bonded in a 6-coordinate geometry to three equivalent Bi3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Bi2Te5Pb2 by Materials Project

Pb2Bi2Te5 crystallizes in the trigonal P-3m1 space group. The structure is two-dimensional and consists of one Pb2Bi2Te5 sheet oriented in the (0, 0, 1) direction. Pb2+ is bonded to six Te2- atoms to form distorted PbTe6 octahedra that share corners with three equivalent BiTe6 octahedra, edges with three equivalent BiTe6 octahedra, and edges with six equivalent PbTe6 octahedra. The corner-sharing octahedral tilt angles are 12°. There are three shorter (3.06 Å) and three longer (3.66 Å) Pb–Te bond lengths. Bi3+ is bonded to six Te2- atoms to form BiTe6 octahedra that share corners with three equivalent PbTe6 octahedra, corners with three equivalent BiTe6 octahedra, edges with three equivalent PbTe6 octahedra, and edges with nine equivalent BiTe6 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. There are three shorter (3.11 Å) and three longer (3.30 Å) Bi–Te bond lengths. There are three inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in a 6-coordinate geometry to three equivalent Pb2+ atoms. In the second Te2- site, Te2- is bonded to three equivalent Pb2+ and three equivalent Bi3+ atoms to form TeBi3Pb3 octahedra that share corners with three equivalent TeBi6 octahedra and edges with nine TeBi3Pb3 octahedra. The corner-sharing octahedral tilt angles are 5°. In the third Te2- site, Te2- is bonded to six equivalent Bi3+ atoms to form a mixture of corner and edge-sharing TeBi6 octahedra. The corner-sharing octahedral tilt angles are 5°.

36 MATERIALS SCIENCE↗

Materials Data on Bi2Te4Pb by Materials Project

PbBi2Te4 is MAX Phase-like structured and crystallizes in the trigonal R-3m space group. The structure is two-dimensional and consists of three PbBi2Te4 sheets oriented in the (0, 0, 1) direction. Pb2+ is bonded to six equivalent Te2- atoms to form PbTe6 octahedra that share corners with six equivalent BiTe6 octahedra, edges with six equivalent PbTe6 octahedra, and edges with six equivalent BiTe6 octahedra. The corner-sharing octahedral tilt angles are 1°. All Pb–Te bond lengths are 3.28 Å. Bi3+ is bonded to six Te2- atoms to form BiTe6 octahedra that share corners with three equivalent PbTe6 octahedra, edges with three equivalent PbTe6 octahedra, and edges with six equivalent BiTe6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are three shorter (3.10 Å) and three longer (3.31 Å) Bi–Te bond lengths. There are two inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in a 6-coordinate geometry to three equivalent Bi3+ atoms. In the second Te2- site, Te2- is bonded to three equivalent Pb2+ and three equivalent Bi3+ atoms to form a mixture of edge and corner-sharing TeBi3Pb3 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on Bi3Te5Pb by Materials Project

PbBi3Te5 is Caswellsilverite-like structured and crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. Pb2+ is bonded to six Te2- atoms to form PbTe6 octahedra that share corners with three equivalent BiTe6 octahedra, corners with three equivalent TeBi3Te3 octahedra, edges with three equivalent BiTe6 octahedra, edges with three equivalent TeBi3Te3 octahedra, and edges with six equivalent PbTe6 octahedra. The corner-sharing octahedra tilt angles range from 10–11°. There are three shorter (3.10 Å) and three longer (3.55 Å) Pb–Te bond lengths. There are three inequivalent Bi+2.67+ sites. In the first Bi+2.67+ site, Bi+2.67+ is bonded to six Te2- atoms to form a mixture of edge and corner-sharing BiTe6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are three shorter (3.18 Å) and three longer (3.24 Å) Bi–Te bond lengths. In the second Bi+2.67+ site, Bi+2.67+ is bonded to six Te2- atoms to form a mixture of edge and corner-sharing BiTe6 octahedra. The corner-sharing octahedral tilt angles are 6°. There are three shorter (3.09 Å) and three longer (3.43 Å) Bi–Te bond lengths. In the third Bi+2.67+ site, Bi+2.67+ is bonded to six Te2- atoms to form BiTe6 octahedra that share corners with three equivalent PbTe6 octahedra, corners with three equivalent BiTe6 octahedra, edges with three equivalent PbTe6 octahedra, and edges with nine BiTe6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are three shorter (3.12 Å) and three longer (3.31 Å) Bi–Te bond lengths. There are five inequivalent Te2- sites. In the first Te2- site, Te2- is bonded to six Bi+2.67+ atoms to form a mixture of edge and corner-sharing TeBi6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the second Te2- site, Te2- is bonded to six Bi+2.67+ atoms to form a mixture of edge and corner-sharing TeBi6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the third Te2- site, Te2- is bonded in a 6-coordinate geometry to three equivalent Pb2+ and three equivalent Te2- atoms. All Te–Te bond lengths are 3.59 Å. In the fourth Te2- site, Te2- is bonded to three equivalent Pb2+ and three equivalent Bi+2.67+ atoms to form a mixture of edge and corner-sharing TeBi3Pb3 octahedra. The corner-sharing octahedral tilt angles are 5°. In the fifth Te2- site, Te2- is bonded to three equivalent Bi+2.67+ and three equivalent Te2- atoms to form distorted TeBi3Te3 octahedra that share corners with three equivalent PbTe6 octahedra, corners with three equivalent TeBi6 octahedra, edges with three equivalent PbTe6 octahedra, and edges with nine TeBi6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°.

36 MATERIALS SCIENCE↗

Materials Data on Bi2Te4Pb by Materials Project

PbBi2Te4 is Caswellsilverite-like structured and crystallizes in the trigonal R3m space group. The structure is two-dimensional and consists of three PbBi2Te4 sheets oriented in the (0, 0, 1) direction. Pb2+ is bonded to six Te2- atoms to form PbTe6 octahedra that share corners with three equivalent BiTe6 octahedra, edges with three equivalent BiTe6 octahedra, and edges with six equivalent PbTe6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are three shorter (3.08 Å) and three longer (3.52 Å) Pb–Te bond lengths. There are two inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to six Te2- atoms to form a mixture of corner and edge-sharing BiTe6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are three shorter (3.09 Å) and three longer (3.36 Å) Bi–Te bond lengths. In the second Bi3+ site, Bi3+ is bonded to six Te2- atoms to form BiTe6 octahedra that share corners with three equivalent PbTe6 octahedra, corners with three equivalent BiTe6 octahedra, edges with three equivalent PbTe6 octahedra, and edges with nine BiTe6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are three shorter (3.12 Å) and three longer (3.23 Å) Bi–Te bond lengths. There are four inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in a 6-coordinate geometry to three equivalent Pb2+ atoms. In the second Te2- site, Te2- is bonded in a 6-coordinate geometry to three equivalent Bi3+ atoms. In the third Te2- site, Te2- is bonded to six Bi3+ atoms to form TeBi6 octahedra that share corners with three equivalent TeBi3Pb3 octahedra and edges with nine TeBi6 octahedra. The corner-sharing octahedral tilt angles are 3°. In the fourth Te2- site, Te2- is bonded to three equivalent Pb2+ and three equivalent Bi3+ atoms to form a mixture of corner and edge-sharing TeBi3Pb3 octahedra. The corner-sharing octahedral tilt angles are 3°.

36 MATERIALS SCIENCE↗