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3D Microstructures of Sb_2Te_3 Precipitates in PbTe Matrix with Prediction by a Weak Compatibility Condition

Chen, Xian and Cao, Shanshan and Ikeda, Teruyuki and Srivastava, Vijay and Snyder, G. Jeffrey and Schryvers, Dominique and James, Richard D. (2012) 3D Microstructures of Sb_2Te_3 Precipitates in PbTe Matrix with Prediction by a Weak Compatibility Condition. In: Proceedings of the 1st International Conference on 3D Materials Science. Springer , Cham, Switzerland, pp. 125-130. ISBN 978-3-319-48573-7.

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We propose that a weak compatibility condition predicts the elongated directions for Widmanstätten type precipitates. The distribution of the elongated directions of precipitates lies on a family of crystallographically equivalent cones in 3D determined by a certain transformation stretch matrix obtained independently. A 3D visualization and digitization method is developed to show how the cone variants control the preferred growth directions during precipitation of Sb_2Te_3 in a (5 µm)_3 PbTe matrix. A series of two-dimensional secondary electron images are acquired along the direction perpendicular to the imaging plane. By pixelating all the images and calculating the position vectors on the surface of each precipitate, the elongation directions are calculated using a 3-dimensional ellipsoidal fitting for 182 precipitates. The 3D plot of the elongation directions shows that their spacial orientations are close to four predicted cones with a standard deviation of 5.6°. The length along the elongation directions reveals an asymmetric distribution with a mean value of about 240 nm. The total volume fraction of the precipitates is 8.3 %. The average area of the precipitates per volume is 0.68 µ^(-1) by one point statistical calculation. These results build on our study presented in [1] by analyzing a significantly bigger data set and by including the length distribution and 1-point statistics.

Item Type:Book Section
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URLURL TypeDescription
Ikeda, Teruyuki0000-0001-7076-6958
Snyder, G. Jeffrey0000-0003-1414-8682
James, Richard D.0000-0001-6019-6613
Additional Information:© 2012 TMS (The Minerals, Metals & Materials Society).
Subject Keywords:Compatibility; Slice-and-view; Widmanstätten; Precipitates; Focused-ion-beam
Record Number:CaltechAUTHORS:20170714-074724725
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79102
Deposited By: Tony Diaz
Deposited On:14 Jul 2017 15:01
Last Modified:15 Nov 2021 17:45

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