Caution in building a Burgers circuit for studying secondary dislocations

doi:10.1016/j.jmst.2019.01.004

Abstract

Abstract:

As the Burgers vector of a secondary dislocation may not conform to the translation vectors in the periodic pattern in a high-resolution transmission electron microscope (HRTEM) image, a Burgers circuit directly constructed according to an HRTEM image may render a wrong Burgers vector. The HRTEM images of the habit plane (HP) of δ precipitate in an Inconel 718 alloy were re-examined by using different Burgers circuits, as an example. Evidence is found for predicted secondary dislocation associated with a down step. The Burgers vector of the dislocation is 1/6[11$\bar{2}$]γ/1/3[00$\bar{1}$]δ, determined with the Burgers circuit built on the reference of the displacement shift completely lattice (DSCL). It is consistent with both the calculated and the measured result of the major defects in the habit plane. Different Burgers vectors due to different Burgers circuits were explained quantitatively. The present study has a general implication for the determination of the Burgers vectors of secondary interfacial dislocations in other systems.

Key words: Dislocation, Burgers vector, Burgers circuit, Coincidence site lattice (CSL), Displacement shift completely lattice (DSCL), Lattice correspondence

Wen-Sheng Xu, Wen-Zheng Zhang. Caution in building a Burgers circuit for studying secondary dislocations[J]. J. Mater. Sci. Technol., 2019, 35(6): 1192-1197.

Figures/Tables 4

Fig. 1. Constrained CSL/DSCL and edge-on view of two types of HPI/HPII calculated by a misfit analysis method [27]: (a) constrained CSL/DSCL on terrace plane; (b) constrained CSL/DSCL on plane normal to the step direction; (c) down step in HPI surrounded by Burgers circuits; (d) up step in HPII surrounded by Burgers circuits.

Fig. 2. Experimental HRTEM image Figs. 10(a) and 6 in Ref. [20] overlaid with identified atomic points: (a) based on DSCL to construct the Burgers circuits on Fig.10(a); (b) based on atomic points to construct the Burgers circuits on Fig. 10(a); (c) identified step on Fig. 6. Reprinted with permission from Springer (https://link.springer.com).

Fig. 3. Matching between planes (0 0 2)γ/(0 1 2)δ and (0 0 2)γ/(0 2 2)δ : (a) planes (0 0 2)γ/(0 1 2)δ on HPI with down steps; (b) planes (0 0 2)γ/(0 1 2)δ on HPII with up steps; (c) planes (0 0 2)γ/(0 2 2)δ on HPI with down steps; (d) planes (0 0 2)γ/(0 2 2)δ on HPII with up steps.

Fig. 4. Shear displacement vectors associated with down and up steps under different lattice correspondences: (a) Burgers circuit with paths of (0 0 2)γ/(0 1 2)δ; (b) Burgers circuit with paths of (0 0 2)γ/(0 2 2)δ.

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