Twinning Behaviour in the Intermetallic Compound Al18Cr2Mg3

doi:10.1007/s40195-014-0092-9

Abstract

Abstract:

The twinning in the intermetallic compound Al₁₈Cr₂Mg₃ was observed and identified by transmission electron microscopy. The geometric description of the twinning in Al₁₈Cr₂Mg₃ with 184 atoms per unit cell was investigated at atomic level. The classical theory of deformation twinning states that the net atomic displacements are divided into shear and shuffles during twinning. Based on the theory and the hypothesis of full mirror reflection symmetry, the displacement and angle of shuffle were calculated for each atom. The geometric calculation results show that all of the atoms in single crystal Al₁₈Cr₂Mg₃ have to shuffle. Moreover, the calculation results can be divided into 22 groups, which do not show obvious regularity.

Key words: Intermetallic compound, Al₁₈Cr₂Mg₃, Twinning, Shear, Shuffle

Maohua Li, Yanqing Yang, Ming Han, Wei Zhang, Bin Huang, Xian Luo, Jigang Ru. Twinning Behaviour in the Intermetallic Compound Al₁₈Cr₂Mg₃[J]. Acta Metallurgica Sinica (English Letters), 2014, 27(4): 677-681.

Figures/Tables 6

Fig. 1 Schematic diagram of Al18Cr2Mg3 unit cell

Fig. 2 TEM images showing an Al18Cr2Mg3 twin particle at lower a, higher b magnifications (the inset is the corresponding FFT spectrum of Fig. 2b)

Fig. 3 The twin elements

Fig. 4 The four twin relationships: a Reflection in K1, b rotation of 180° about η1, c reflection on the normal plane to η1, d rotation of 180° about the normal to K1

Fig. 5 The calculation principle of atom shuffle parameters

Table 1 Calculated shuffle parameters in the intermetallic compound Al18Cr2Mg3

No.	Element	Number	Shuffle displacement l (nm)	Shuffle angle ψ (°)
1	Al	4	0.12965	6.09
2	Al	8	0.08026	37.28
3	Al	8	0.16937	54.32
4	Mg	4	0.12839	54.74
5	Mg	4	0.3145	61.87
6	Cr	12	0.22238	70.53
7	Mg	8	0.22238	70.53
8	Al	8	0.12409	71.33
9	Al	16	0.13533	77.4
10	Al	24	0.14452	90
11	Al	4	0.23316	93.54
12	Cr	4	0.3397	102.60
13	Al	8	0.15681	104.59
14	Al	24	0.0886	109.47
15	Al	4	0.20854	115.68
16	Al	12	0.18686	129.82
17	Al	4	0.19119	130.39
18	Mg	4	0.49726	138.19
19	Al	8	0.24945	142.61
20	Mg	4	0.18158	144.74
21	Al	8	0.10926	153.58
22	Al	4	0.13932	174.33

References 13

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Twinning Behaviour in the Intermetallic Compound Al₁₈Cr₂Mg₃

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