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Table 1 Calculated misfit values between β 1 ′-MgZn 2 1 ′-Mg 4 Zn 7 and δ-Zn 2 Zr 3 phases

From: Heterogeneous nucleation of β-type precipitates on nanoscale Zr-rich particles in a Mg-6Zn-0.5Cu-0.6Zr alloy

Matching direction/plans

Spacing or length (nm)

Misfit (%)

1 1 ¯ 0 δ Z n 2 Z r 3 / / 11 2 ¯ 0 β 1 M g Z n 2

L 1 1 ¯ 0 δ Z n 2 Z r 3 = 1.0791 , L 11 2 ¯ 0 β 1 M g Z n 2 = 0.5223

3.2

001 δ Z n 2 Z r 3 / / 0001 β 1 M g Z n 2 (end plane)

d 001 δ Z n 2 Z r 3 = 0.6965 , d 0001 β 1 M g Z n 2 = 0.8568

2.5

100 δ Z n 2 Z r 3 / / 1 ¯ 100 β 1 M g Z n 2 (side plane)

d 110 δ Z n 2 Z r 3 = 0.5397 , d 1 ¯ 100 β 1 M g Z n 2 = 0.4523

16.2

1 1 ¯ 0 δ Z n 2 Z r 3 / / 001 β 1 M g 4 Z n 7

L 1 1 ¯ 0 δ Z n 2 Z r 3 = 1.0791 , L 001 β 1 M g 4 Z n 7 = 0.2746

1.8

001 δ Z n 2 Z r 3 / / 12 ¯ 70 β 1 M g 4 Z n 7 (end plane)

d 001 δ Z n 2 Z r 3 = 0.6965 , d 12 ¯ 70 β 1 M g 4 Z n 7 = 0.0549

5.4

110 δ Z n 2 Z r 3 / / 630 β 1 M g 4 Z n 7 (side plane)

d 110 δ Z n 2 Z r 3 = 0.5397 , d 630 β 1 M g 4 Z n 7 = 0.2835

5.1

  1. d, spacing; L, length.

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