A weak compatibility condition for precipitation with application to the microstructure of PbTe-Sb2Te3 thermoelectrics

Xian Chen; Shanshan Cao; Teruyuki Ikeda; Vijay Srivastava; G. Jeffrey Snyder; Dominique Schryvers; Richard D. James

doi:10.1016/j.actamat.2011.06.025

A weak compatibility condition for precipitation with application to the microstructure of PbTe-Sb₂Te₃ thermoelectrics

Xian Chen, Shanshan Cao, Teruyuki Ikeda, Vijay Srivastava, G. Jeffrey Snyder, Dominique Schryvers, Richard D. James^*

^*Corresponding author for this work

Materials Science and Engineering

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

We propose a weak condition of compatibility between phases applicable to cases exhibiting full or partial coherence and Widmanstätten microstructure. The condition is applied to the study of Sb₂Te ₃ precipitates in a PbTe matrix in a thermoelectric alloy. The weak condition of compatibility predicts elongated precipitates lying on a cone determined by a transformation stretch tensor. Comparison of this cone with the long directions of precipitates determined by a slice-and-view method of scanning electron microscopy combined with focused ion beam sectioning shows good agreement between theory and experiment. A further study of the morphology of precipitates by the Eshelby method suggests that interfacial energy also plays a role and gives an approximate value of interfacial energy per unit area of 250 dyn cm^-1.

Original language	English (US)
Pages (from-to)	6124-6132
Number of pages	9
Journal	Acta Materialia
Volume	59
Issue number	15
DOIs	https://doi.org/10.1016/j.actamat.2011.06.025
State	Published - Sep 2011

Keywords

Compatibility
Precipitation
Thermoelectric materials
Widmanstätten microstructure

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Ceramics and Composites
Polymers and Plastics
Metals and Alloys

Access to Document

10.1016/j.actamat.2011.06.025

Cite this

@article{7e6c8eefc56e469faa869a1f5365ae0f,

title = "A weak compatibility condition for precipitation with application to the microstructure of PbTe-Sb2Te3 thermoelectrics",

abstract = "We propose a weak condition of compatibility between phases applicable to cases exhibiting full or partial coherence and Widmanst{\"a}tten microstructure. The condition is applied to the study of Sb2Te 3 precipitates in a PbTe matrix in a thermoelectric alloy. The weak condition of compatibility predicts elongated precipitates lying on a cone determined by a transformation stretch tensor. Comparison of this cone with the long directions of precipitates determined by a slice-and-view method of scanning electron microscopy combined with focused ion beam sectioning shows good agreement between theory and experiment. A further study of the morphology of precipitates by the Eshelby method suggests that interfacial energy also plays a role and gives an approximate value of interfacial energy per unit area of 250 dyn cm-1.",

keywords = "Compatibility, Precipitation, Thermoelectric materials, Widmanst{\"a}tten microstructure",

author = "Xian Chen and Shanshan Cao and Teruyuki Ikeda and Vijay Srivastava and {Jeffrey Snyder}, G. and Dominique Schryvers and James, {Richard D.}",

note = "Funding Information: The authors thank Wim Tirry for valuable discussions on the interpretation of the experimental data on the organization of the precipitates in the matrix, and Liping Liu and Jiangyu Li for discussions on the theory. The work of X.C., V.S., G.J.S. and R.D.J. was supported by ARO-MURI W911NF-07-1-0410 . The work of S.C. and D.S. was supported by the Flemish FWO project G.0576.09 3D : characterization of precipitates in Ni–Ti SMA by Slice-and-View in a FIB-SEM dual-beam microscope. The work of T.I. was supported by the PRESTO program of the Japan Science and Technology Agency . R.D.J. also acknowledges support of AFOSR (GameChanger, GRT00008581/RF60012388) and National Science Foundation under the PIRE Grant No. OISE-0967140 . ",

year = "2011",

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T1 - A weak compatibility condition for precipitation with application to the microstructure of PbTe-Sb2Te3 thermoelectrics

AU - Chen, Xian

AU - Cao, Shanshan

AU - Ikeda, Teruyuki

AU - Srivastava, Vijay

AU - Jeffrey Snyder, G.

AU - Schryvers, Dominique

AU - James, Richard D.

N1 - Funding Information: The authors thank Wim Tirry for valuable discussions on the interpretation of the experimental data on the organization of the precipitates in the matrix, and Liping Liu and Jiangyu Li for discussions on the theory. The work of X.C., V.S., G.J.S. and R.D.J. was supported by ARO-MURI W911NF-07-1-0410 . The work of S.C. and D.S. was supported by the Flemish FWO project G.0576.09 3D : characterization of precipitates in Ni–Ti SMA by Slice-and-View in a FIB-SEM dual-beam microscope. The work of T.I. was supported by the PRESTO program of the Japan Science and Technology Agency . R.D.J. also acknowledges support of AFOSR (GameChanger, GRT00008581/RF60012388) and National Science Foundation under the PIRE Grant No. OISE-0967140 .

PY - 2011/9

Y1 - 2011/9

N2 - We propose a weak condition of compatibility between phases applicable to cases exhibiting full or partial coherence and Widmanstätten microstructure. The condition is applied to the study of Sb2Te 3 precipitates in a PbTe matrix in a thermoelectric alloy. The weak condition of compatibility predicts elongated precipitates lying on a cone determined by a transformation stretch tensor. Comparison of this cone with the long directions of precipitates determined by a slice-and-view method of scanning electron microscopy combined with focused ion beam sectioning shows good agreement between theory and experiment. A further study of the morphology of precipitates by the Eshelby method suggests that interfacial energy also plays a role and gives an approximate value of interfacial energy per unit area of 250 dyn cm-1.

AB - We propose a weak condition of compatibility between phases applicable to cases exhibiting full or partial coherence and Widmanstätten microstructure. The condition is applied to the study of Sb2Te 3 precipitates in a PbTe matrix in a thermoelectric alloy. The weak condition of compatibility predicts elongated precipitates lying on a cone determined by a transformation stretch tensor. Comparison of this cone with the long directions of precipitates determined by a slice-and-view method of scanning electron microscopy combined with focused ion beam sectioning shows good agreement between theory and experiment. A further study of the morphology of precipitates by the Eshelby method suggests that interfacial energy also plays a role and gives an approximate value of interfacial energy per unit area of 250 dyn cm-1.

KW - Compatibility

KW - Precipitation

KW - Thermoelectric materials

KW - Widmanstätten microstructure

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