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Investigation of temperature and concentration oscillations in the directional solidification of Pb-Sn-Te

Directional solidification of the pseudobinary compound semiconductor material Pb sub 1-x Sn sub x Te by the Bridgman crystal growth process will be studied. Natural convection in the molten sample will be visualized with a novel electrochemical cell technique that employs the solid electrolyte material yttria-stabilized zirconia. Mass transfer by both diffusion and convection will be measured by detecting the motion of oxygen tracer in the liquid. Additional applications for electrochemical cells in semiconductor crystal growth are suggested. Unsteady convection in the melt will also be detected by the appearance of temperature oscillations. The purpose of this study is to experimentally characterize the overstable conditions for a Pb sub 1-x Sn sub x Te melt in the vertical Bridgman crystal growth technique and use a linear analysis to predict the onset of convection for this system.

Anderson, T. J.↗

Materials Data on Sn4Te5Pb by Materials Project

PbSn4Te5 is Caswellsilverite-like structured and crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Pb2+ is bonded to six Te2- atoms to form PbTe6 octahedra that share corners with two equivalent SnTe6 octahedra, corners with four equivalent PbTe6 octahedra, edges with four equivalent PbTe6 octahedra, and edges with eight equivalent SnTe6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (3.20 Å) and two longer (3.28 Å) Pb–Te bond lengths. There are two inequivalent Sn2+ sites. In the first Sn2+ site, Sn2+ is bonded to six Te2- atoms to form SnTe6 octahedra that share corners with six SnTe6 octahedra, edges with four equivalent PbTe6 octahedra, and edges with eight SnTe6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Sn–Te bond distances ranging from 3.20–3.27 Å. In the second Sn2+ site, Sn2+ is bonded to six Te2- atoms to form SnTe6 octahedra that share a cornercorner with one PbTe6 octahedra, corners with five SnTe6 octahedra, and edges with twelve SnTe6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Sn–Te bond distances ranging from 3.20–3.27 Å. There are four inequivalent Te2- sites. In the first Te2- site, Te2- is bonded to one Pb2+ and five Sn2+ atoms to form a mixture of corner and edge-sharing TeSn5Pb octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second Te2- site, Te2- is bonded to four equivalent Pb2+ and two equivalent Sn2+ atoms to form TeSn2Pb4 octahedra that share corners with six TeSn2Pb4 octahedra and edges with twelve TeSn5Pb octahedra. The corner-sharing octahedral tilt angles are 0°. In the third Te2- site, Te2- is bonded to six Sn2+ atoms to form a mixture of corner and edge-sharing TeSn6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fourth Te2- site, Te2- is bonded to six Sn2+ atoms to form a mixture of corner and edge-sharing TeSn6 octahedra. The corner-sharing octahedral tilt angles are 0°. The Te–Sn bond length is 3.26 Å.

36 MATERIALS SCIENCE↗

Materials Data on SnTe4Pb3 by Materials Project

Pb3SnTe4 is Caswellsilverite-like structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are two inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded to six Te2- atoms to form PbTe6 octahedra that share corners with six equivalent PbTe6 octahedra, edges with four equivalent SnTe6 octahedra, and edges with eight PbTe6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are five shorter (3.27 Å) and one longer (3.28 Å) Pb–Te bond lengths. In the second Pb2+ site, Pb2+ is bonded to six Te2- atoms to form PbTe6 octahedra that share corners with two equivalent SnTe6 octahedra, corners with four equivalent PbTe6 octahedra, and edges with twelve PbTe6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (3.27 Å) and two longer (3.30 Å) Pb–Te bond lengths. Sn2+ is bonded to six Te2- atoms to form SnTe6 octahedra that share corners with two equivalent PbTe6 octahedra, corners with four equivalent SnTe6 octahedra, edges with four equivalent SnTe6 octahedra, and edges with eight equivalent PbTe6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (3.25 Å) and four longer (3.27 Å) Sn–Te bond lengths. There are three inequivalent Te2- sites. In the first Te2- site, Te2- is bonded to five Pb2+ and one Sn2+ atom to form a mixture of edge and corner-sharing TeSnPb5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second Te2- site, Te2- is bonded to two equivalent Pb2+ and four equivalent Sn2+ atoms to form TeSn4Pb2 octahedra that share corners with six TeSn4Pb2 octahedra and edges with twelve TeSnPb5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the third Te2- site, Te2- is bonded to six Pb2+ atoms to form TePb6 octahedra that share corners with six TeSn4Pb2 octahedra and edges with twelve TeSnPb5 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on SnTe5Pb4 by Materials Project

Pb4SnTe5 is Caswellsilverite-like structured and crystallizes in the trigonal R-3m space group. The structure is three-dimensional. there are two inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded to six Te2- atoms to form PbTe6 octahedra that share corners with three equivalent PbTe6 octahedra, corners with three equivalent SnTe6 octahedra, edges with three equivalent SnTe6 octahedra, and edges with nine PbTe6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are three shorter (3.28 Å) and three longer (3.30 Å) Pb–Te bond lengths. In the second Pb2+ site, Pb2+ is bonded to six Te2- atoms to form a mixture of edge and corner-sharing PbTe6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Pb–Te bond lengths are 3.28 Å. Sn2+ is bonded to six equivalent Te2- atoms to form SnTe6 octahedra that share corners with six equivalent PbTe6 octahedra, edges with six equivalent PbTe6 octahedra, and edges with six equivalent SnTe6 octahedra. The corner-sharing octahedral tilt angles are 1°. All Sn–Te bond lengths are 3.25 Å. There are three inequivalent Te2- sites. In the first Te2- site, Te2- is bonded to three equivalent Pb2+ and three equivalent Sn2+ atoms to form a mixture of edge and corner-sharing TeSn3Pb3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second Te2- site, Te2- is bonded to six equivalent Pb2+ atoms to form a mixture of edge and corner-sharing TePb6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the third Te2- site, Te2- is bonded to six Pb2+ atoms to form a mixture of edge and corner-sharing TePb6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°.

36 MATERIALS SCIENCE↗

Materials Data on SnTe2Pb by Materials Project

PbSnTe2 is Caswellsilverite structured and crystallizes in the trigonal R-3m space group. The structure is three-dimensional. Pb2+ is bonded to six equivalent Te2- atoms to form PbTe6 octahedra that share corners with six equivalent SnTe6 octahedra, edges with six equivalent PbTe6 octahedra, and edges with six equivalent SnTe6 octahedra. The corner-sharing octahedral tilt angles are 2°. All Pb–Te bond lengths are 3.28 Å. Sn2+ is bonded to six equivalent Te2- atoms to form SnTe6 octahedra that share corners with six equivalent PbTe6 octahedra, edges with six equivalent PbTe6 octahedra, and edges with six equivalent SnTe6 octahedra. The corner-sharing octahedral tilt angles are 2°. All Sn–Te bond lengths are 3.21 Å. Te2- is bonded to three equivalent Pb2+ and three equivalent Sn2+ atoms to form a mixture of corner and edge-sharing TeSn3Pb3 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on SnTe2Pb by Materials Project

PbSnTe2 is Caswellsilverite-like structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Pb2+ is bonded to six Te2- atoms to form PbTe6 octahedra that share corners with six equivalent PbTe6 octahedra, edges with four equivalent PbTe6 octahedra, and edges with eight equivalent SnTe6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (3.24 Å) and two longer (3.25 Å) Pb–Te bond lengths. Sn2+ is bonded to six Te2- atoms to form SnTe6 octahedra that share corners with six equivalent SnTe6 octahedra, edges with four equivalent SnTe6 octahedra, and edges with eight equivalent PbTe6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (3.24 Å) and two longer (3.25 Å) Sn–Te bond lengths. There are two inequivalent Te2- sites. In the first Te2- site, Te2- is bonded to two equivalent Pb2+ and four equivalent Sn2+ atoms to form a mixture of corner and edge-sharing TeSn4Pb2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second Te2- site, Te2- is bonded to four equivalent Pb2+ and two equivalent Sn2+ atoms to form TeSn2Pb4 octahedra that share corners with six equivalent TeSn2Pb4 octahedra and edges with twelve TeSn4Pb2 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗