Interstitial Zn Atoms Do the Trick in Thermoelectric Zinc Antimonide, Zn4Sb3: A Combined Maximum Entropy Method X-ray Electron Density and Ab Initio Electronic Structure Study

The experimental electron density of the high‐performance thermoelectric material Zn4Sb3 has been determined by maximum entropy (MEM) analysis of short‐wavelength synchrotron powder diffraction data. These data are found to be more accurate than conventional single‐crystal data due to the reduction...

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Veröffentlicht in:Chemistry : a European journal 2004-08, Vol.10 (16), p.3861-3870
Hauptverfasser: Cargnoni, Fausto, Nishibori, Eiji, Rabiller, Philippe, Bertini, Luca, Snyder, G. Jeffrey, Christensen, Mogens, Gatti, Carlo, Iversen, Bo Brummerstadt
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container_issue 16
container_start_page 3861
container_title Chemistry : a European journal
container_volume 10
creator Cargnoni, Fausto
Nishibori, Eiji
Rabiller, Philippe
Bertini, Luca
Snyder, G. Jeffrey
Christensen, Mogens
Gatti, Carlo
Iversen, Bo Brummerstadt
description The experimental electron density of the high‐performance thermoelectric material Zn4Sb3 has been determined by maximum entropy (MEM) analysis of short‐wavelength synchrotron powder diffraction data. These data are found to be more accurate than conventional single‐crystal data due to the reduction of common systematic errors, such as absorption, extinction and anomalous scattering. Analysis of the MEM electron density directly reveals interstitial Zn atoms and a partially occupied main Zn site. Two types of Sb atoms are observed: a free spherical ion (Sb3−) and Sb24− dimers. Analysis of the MEM electron density also reveals possible Sb disorder along the c axis. The disorder, defects and vacancies are all features that contribute to the drastic reduction of the thermal conductivity of the material. Topological analysis of the thermally smeared MEM density has been carried out. Starting with the X‐ray structure ab initio computational methods have been used to deconvolute structural information from the space‐time data averaging inherent to the XRD experiment. The analysis reveals how interstitial Zn atoms and vacancies affect the electronic structure and transport properties of β‐Zn4Sb3. The structure consists of an ideal A12Sb10 framework in which point defects are distributed. We propose that the material is a 0.184:0.420:0.396 mixture of A12Sb10, A11BCSb10 and A10BCDSb10 cells, in which A, B, C and D are the four Zn sites in the X‐ray structure. Given the similar density of states (DOS) of the A12Sb10, A11BCSb10 and A10BCDSb10 cells, one may electronically model the defective stoichiometry of the real system either by n‐doping the 12‐Zn atom cell or by p‐doping the two 13‐Zn atom cells. This leads to similar calculated Seebeck coefficients for the A12Sb10, A11BCSb10 and A10BCDSb10 cells (115.0, 123.0 and 110.3 μV K−1 at T=670 K). The model system is therefore a p‐doped semiconductor as found experimentally. The effect is dramatic if these cells are doped differently with respect to the experimental electron count. Thus, 0.33 extra electrons supplied to either kind of cell would increase the Seebeck coefficient to about 260 μV K−1. Additional electrons would also lower σ, so the resulting effect on the thermoelectric figure of merit of Zn4Sb3 challenges further experimental work. Interstitial Zn atoms are crucial in β‐Zn4Sb3, one of the most promising thermoelectric materials. They supply electrons and enhance the thermopower, besides lowering its therm
doi_str_mv 10.1002/chem.200400327
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Jeffrey ; Christensen, Mogens ; Gatti, Carlo ; Iversen, Bo Brummerstadt</creator><creatorcontrib>Cargnoni, Fausto ; Nishibori, Eiji ; Rabiller, Philippe ; Bertini, Luca ; Snyder, G. Jeffrey ; Christensen, Mogens ; Gatti, Carlo ; Iversen, Bo Brummerstadt</creatorcontrib><description>The experimental electron density of the high‐performance thermoelectric material Zn4Sb3 has been determined by maximum entropy (MEM) analysis of short‐wavelength synchrotron powder diffraction data. These data are found to be more accurate than conventional single‐crystal data due to the reduction of common systematic errors, such as absorption, extinction and anomalous scattering. Analysis of the MEM electron density directly reveals interstitial Zn atoms and a partially occupied main Zn site. Two types of Sb atoms are observed: a free spherical ion (Sb3−) and Sb24− dimers. Analysis of the MEM electron density also reveals possible Sb disorder along the c axis. The disorder, defects and vacancies are all features that contribute to the drastic reduction of the thermal conductivity of the material. Topological analysis of the thermally smeared MEM density has been carried out. Starting with the X‐ray structure ab initio computational methods have been used to deconvolute structural information from the space‐time data averaging inherent to the XRD experiment. The analysis reveals how interstitial Zn atoms and vacancies affect the electronic structure and transport properties of β‐Zn4Sb3. The structure consists of an ideal A12Sb10 framework in which point defects are distributed. We propose that the material is a 0.184:0.420:0.396 mixture of A12Sb10, A11BCSb10 and A10BCDSb10 cells, in which A, B, C and D are the four Zn sites in the X‐ray structure. Given the similar density of states (DOS) of the A12Sb10, A11BCSb10 and A10BCDSb10 cells, one may electronically model the defective stoichiometry of the real system either by n‐doping the 12‐Zn atom cell or by p‐doping the two 13‐Zn atom cells. This leads to similar calculated Seebeck coefficients for the A12Sb10, A11BCSb10 and A10BCDSb10 cells (115.0, 123.0 and 110.3 μV K−1 at T=670 K). The model system is therefore a p‐doped semiconductor as found experimentally. The effect is dramatic if these cells are doped differently with respect to the experimental electron count. Thus, 0.33 extra electrons supplied to either kind of cell would increase the Seebeck coefficient to about 260 μV K−1. Additional electrons would also lower σ, so the resulting effect on the thermoelectric figure of merit of Zn4Sb3 challenges further experimental work. Interstitial Zn atoms are crucial in β‐Zn4Sb3, one of the most promising thermoelectric materials. They supply electrons and enhance the thermopower, besides lowering its thermal conductivity, as shown by a combined synchrotron X‐ray diffraction and ab initio study. Densities of state are shown for zinc antimonide cells. Addition of interstitial Zn atoms (grey in the figure) to the 12‐Zn structure yields a change from p‐ to n‐doping. Zn12.82Sb10, with interstitial atoms in 82 % of the cells, is a p‐doped semiconductor whose thermopower is very sensitive to composition and/or doping.</description><identifier>ISSN: 0947-6539</identifier><identifier>EISSN: 1521-3765</identifier><identifier>DOI: 10.1002/chem.200400327</identifier><identifier>PMID: 15317052</identifier><language>eng</language><publisher>Weinheim: WILEY-VCH Verlag</publisher><subject>ab initio calculations ; antimony ; electron density topology ; electronic structure ; maximum entropy method ; thermoelectric materials ; zinc</subject><ispartof>Chemistry : a European journal, 2004-08, Vol.10 (16), p.3861-3870</ispartof><rights>Copyright © 2004 WILEY‐VCH Verlag GmbH &amp; Co. 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Jeffrey</creatorcontrib><creatorcontrib>Christensen, Mogens</creatorcontrib><creatorcontrib>Gatti, Carlo</creatorcontrib><creatorcontrib>Iversen, Bo Brummerstadt</creatorcontrib><title>Interstitial Zn Atoms Do the Trick in Thermoelectric Zinc Antimonide, Zn4Sb3: A Combined Maximum Entropy Method X-ray Electron Density and Ab Initio Electronic Structure Study</title><title>Chemistry : a European journal</title><addtitle>Chemistry - A European Journal</addtitle><description>The experimental electron density of the high‐performance thermoelectric material Zn4Sb3 has been determined by maximum entropy (MEM) analysis of short‐wavelength synchrotron powder diffraction data. These data are found to be more accurate than conventional single‐crystal data due to the reduction of common systematic errors, such as absorption, extinction and anomalous scattering. Analysis of the MEM electron density directly reveals interstitial Zn atoms and a partially occupied main Zn site. Two types of Sb atoms are observed: a free spherical ion (Sb3−) and Sb24− dimers. Analysis of the MEM electron density also reveals possible Sb disorder along the c axis. The disorder, defects and vacancies are all features that contribute to the drastic reduction of the thermal conductivity of the material. Topological analysis of the thermally smeared MEM density has been carried out. Starting with the X‐ray structure ab initio computational methods have been used to deconvolute structural information from the space‐time data averaging inherent to the XRD experiment. The analysis reveals how interstitial Zn atoms and vacancies affect the electronic structure and transport properties of β‐Zn4Sb3. The structure consists of an ideal A12Sb10 framework in which point defects are distributed. We propose that the material is a 0.184:0.420:0.396 mixture of A12Sb10, A11BCSb10 and A10BCDSb10 cells, in which A, B, C and D are the four Zn sites in the X‐ray structure. Given the similar density of states (DOS) of the A12Sb10, A11BCSb10 and A10BCDSb10 cells, one may electronically model the defective stoichiometry of the real system either by n‐doping the 12‐Zn atom cell or by p‐doping the two 13‐Zn atom cells. This leads to similar calculated Seebeck coefficients for the A12Sb10, A11BCSb10 and A10BCDSb10 cells (115.0, 123.0 and 110.3 μV K−1 at T=670 K). The model system is therefore a p‐doped semiconductor as found experimentally. The effect is dramatic if these cells are doped differently with respect to the experimental electron count. Thus, 0.33 extra electrons supplied to either kind of cell would increase the Seebeck coefficient to about 260 μV K−1. Additional electrons would also lower σ, so the resulting effect on the thermoelectric figure of merit of Zn4Sb3 challenges further experimental work. Interstitial Zn atoms are crucial in β‐Zn4Sb3, one of the most promising thermoelectric materials. They supply electrons and enhance the thermopower, besides lowering its thermal conductivity, as shown by a combined synchrotron X‐ray diffraction and ab initio study. Densities of state are shown for zinc antimonide cells. Addition of interstitial Zn atoms (grey in the figure) to the 12‐Zn structure yields a change from p‐ to n‐doping. Zn12.82Sb10, with interstitial atoms in 82 % of the cells, is a p‐doped semiconductor whose thermopower is very sensitive to composition and/or doping.</description><subject>ab initio calculations</subject><subject>antimony</subject><subject>electron density topology</subject><subject>electronic structure</subject><subject>maximum entropy method</subject><subject>thermoelectric materials</subject><subject>zinc</subject><issn>0947-6539</issn><issn>1521-3765</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><recordid>eNpFkc1uGyEUhVHVqnHTbrusWHXVSRkYIHQ3GruxpTitFPdH2SBmwDLNAC4wSuap8oqd1Km7ulzu-c5FHADeluisRAh_7HbGnWGEKoQI5s_ArKS4LAhn9DmYIVHxglEiTsCrlH4hhAQj5CU4KSkpOaJ4Bh5WPpuYss1W9fDGwzoHl-A8wLwzcBNtdwuth5udiS6Y3nR5uoI31new9tm64K02Hyawum7JJ1jDJrjWeqPhWt1bNzi48DmG_QjXJu-Chj-LqEa4-OsUPJwbn2weofIa1i1c-ekh4TieVl3nOHR5iGY6DXp8DV5sVZ_Mm6d6Cr59XmyaZXH55WLV1JeFJazkhWBKn5OKGs6VUh3dlrQUXGNGdMt4qzjR54gLLTDmuO2qidliXXEhlKaMV-QUvD_47mP4PZiUpbOpM32vvAlDkoxxwQSik_Ddk3BondFyH61TcZT_vngSiIPgzvZm_D9H8jFA-RigPAYom-VifewmtjiwNmVzf2RVvJWME07lj6sLuaRfvzdXayTn5A_I8p8I</recordid><startdate>20040820</startdate><enddate>20040820</enddate><creator>Cargnoni, Fausto</creator><creator>Nishibori, Eiji</creator><creator>Rabiller, Philippe</creator><creator>Bertini, Luca</creator><creator>Snyder, G. 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Jeffrey</au><au>Christensen, Mogens</au><au>Gatti, Carlo</au><au>Iversen, Bo Brummerstadt</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Interstitial Zn Atoms Do the Trick in Thermoelectric Zinc Antimonide, Zn4Sb3: A Combined Maximum Entropy Method X-ray Electron Density and Ab Initio Electronic Structure Study</atitle><jtitle>Chemistry : a European journal</jtitle><addtitle>Chemistry - A European Journal</addtitle><date>2004-08-20</date><risdate>2004</risdate><volume>10</volume><issue>16</issue><spage>3861</spage><epage>3870</epage><pages>3861-3870</pages><issn>0947-6539</issn><eissn>1521-3765</eissn><abstract>The experimental electron density of the high‐performance thermoelectric material Zn4Sb3 has been determined by maximum entropy (MEM) analysis of short‐wavelength synchrotron powder diffraction data. These data are found to be more accurate than conventional single‐crystal data due to the reduction of common systematic errors, such as absorption, extinction and anomalous scattering. Analysis of the MEM electron density directly reveals interstitial Zn atoms and a partially occupied main Zn site. Two types of Sb atoms are observed: a free spherical ion (Sb3−) and Sb24− dimers. Analysis of the MEM electron density also reveals possible Sb disorder along the c axis. The disorder, defects and vacancies are all features that contribute to the drastic reduction of the thermal conductivity of the material. Topological analysis of the thermally smeared MEM density has been carried out. Starting with the X‐ray structure ab initio computational methods have been used to deconvolute structural information from the space‐time data averaging inherent to the XRD experiment. The analysis reveals how interstitial Zn atoms and vacancies affect the electronic structure and transport properties of β‐Zn4Sb3. The structure consists of an ideal A12Sb10 framework in which point defects are distributed. We propose that the material is a 0.184:0.420:0.396 mixture of A12Sb10, A11BCSb10 and A10BCDSb10 cells, in which A, B, C and D are the four Zn sites in the X‐ray structure. Given the similar density of states (DOS) of the A12Sb10, A11BCSb10 and A10BCDSb10 cells, one may electronically model the defective stoichiometry of the real system either by n‐doping the 12‐Zn atom cell or by p‐doping the two 13‐Zn atom cells. This leads to similar calculated Seebeck coefficients for the A12Sb10, A11BCSb10 and A10BCDSb10 cells (115.0, 123.0 and 110.3 μV K−1 at T=670 K). The model system is therefore a p‐doped semiconductor as found experimentally. The effect is dramatic if these cells are doped differently with respect to the experimental electron count. Thus, 0.33 extra electrons supplied to either kind of cell would increase the Seebeck coefficient to about 260 μV K−1. Additional electrons would also lower σ, so the resulting effect on the thermoelectric figure of merit of Zn4Sb3 challenges further experimental work. Interstitial Zn atoms are crucial in β‐Zn4Sb3, one of the most promising thermoelectric materials. They supply electrons and enhance the thermopower, besides lowering its thermal conductivity, as shown by a combined synchrotron X‐ray diffraction and ab initio study. Densities of state are shown for zinc antimonide cells. Addition of interstitial Zn atoms (grey in the figure) to the 12‐Zn structure yields a change from p‐ to n‐doping. Zn12.82Sb10, with interstitial atoms in 82 % of the cells, is a p‐doped semiconductor whose thermopower is very sensitive to composition and/or doping.</abstract><cop>Weinheim</cop><pub>WILEY-VCH Verlag</pub><pmid>15317052</pmid><doi>10.1002/chem.200400327</doi><tpages>10</tpages></addata></record>
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source Wiley Online Library Journals Frontfile Complete
subjects ab initio calculations
antimony
electron density topology
electronic structure
maximum entropy method
thermoelectric materials
zinc
title Interstitial Zn Atoms Do the Trick in Thermoelectric Zinc Antimonide, Zn4Sb3: A Combined Maximum Entropy Method X-ray Electron Density and Ab Initio Electronic Structure Study
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