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<art><ui>1556-276X-7-300</ui><ji>1556-276X</ji><fm><dochead>Nano Express</dochead><bibl><title><p>Heterogeneous nucleation of &#946;-type precipitates on nanoscale Zr-rich particles in a Mg-6Zn-0.5Cu-0.6Zr alloy</p></title><aug><au id="A1"><snm>Zhu</snm><fnm>Hongmei</fnm><insr iid="I1"/><insr iid="I2"/><insr iid="I3"/><email>meizihong999@126.com</email></au><au id="A2"><snm>Sha</snm><fnm>Gang</fnm><insr iid="I2"/><email>gang.sha@sydney.edu.au</email></au><au id="A3"><snm>Liu</snm><fnm>Jiangwen</fnm><insr iid="I1"/><email>mejwliu@scut.edu.cn</email></au><au id="A4"><snm>Liu</snm><fnm>Hongwei</fnm><insr iid="I2"/><email>hongwei.liu@sydney.edu.au</email></au><au id="A5" ca="yes"><snm>Wu</snm><fnm>Cuilan</fnm><insr iid="I4"/><email>cuilanwu2010@gmail.com</email></au><au id="A6"><snm>Luo</snm><fnm>Chengping</fnm><insr iid="I1"/><email>mecpluo@scut.edu.cn</email></au><au id="A7" ca="yes"><snm>Liu</snm><fnm>Zongwen</fnm><insr iid="I2"/><email>zongwen.liu@sydney.edu.au</email></au><au id="A8"><snm>Zheng</snm><fnm>Rongkun</fnm><insr iid="I2"/><email>rongkun.zheng@sydney.edu.au</email></au><au id="A9"><snm>Ringer</snm><mi>P</mi><fnm>Simon</fnm><insr iid="I2"/><email>simon.ringer@sydney.edu.au</email></au></aug><insg><ins id="I1"><p>School of Materials Science and Engineering, South China University of Technology, Guangzhou, 510640, China</p></ins><ins id="I2"><p>Australian Centre for Microscopy and Microanalysis, The University of Sydney, New South Wales, 2006, Australia</p></ins><ins id="I3"><p>School of Mechanical Engineering, University of South China, Hengyang, 421001, China</p></ins><ins id="I4"><p>Center of High Resolution Electron Microscopy, School of Materials Science and Engineering, Hunan University, Changsha, 410082, China</p></ins></insg><source>Nanoscale Research Letters</source><issn>1556-276X</issn><pubdate>2012</pubdate><volume>7</volume><issue>1</issue><fpage>300</fpage><url>http://www.nanoscalereslett.com/content/7/1/300</url><xrefbib><pubidlist><pubid idtype="doi">10.1186/1556-276X-7-300</pubid><pubid idtype="pmpid">22682092</pubid></pubidlist></xrefbib></bibl><history><rec><date><day>1</day><month>12</month><year>2011</year></date></rec><acc><date><day>4</day><month>4</month><year>2012</year></date></acc><pub><date><day>8</day><month>6</month><year>2012</year></date></pub></history><cpyrt><year>2012</year><collab>Zhu et al.; licensee Springer.</collab><note>This is an Open Access article distributed under the terms of the Creative Commons Attribution License (<url>http://creativecommons.org/licenses/by/2.0</url>), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</note></cpyrt><kwdg><kwd>Mg alloys</kwd><kwd>Zn-rich precipitates</kwd><kwd>nanoscale Zr-rich particles</kwd><kwd>heterogeneous nucleation</kwd><kwd>electron microscopy</kwd></kwdg><abs><sec><st><p>Abstract</p></st><p>Zirconium (Zr) is an important alloying element to Mg-Zn-based alloy system. In this paper, we report the formation of the &#946;-type precipitates on the nanoscale Zr-rich particles in a Mg-6Zn-0.5Cu-0.6Zr alloy during ageing at 180&#176;C. Scanning transmission electron microscopy examinations revealed that the nanoscale Zr-rich [0001]<sub>&#945;</sub> rods/laths are dominant in the Zr-rich core regions of the as-quenched sample after a solution treatment at 430&#176;C. More significantly, these Zr-rich particles served as favourable sites for heterogeneous nucleation of the Zn-rich &#946;-type phase during subsequent isothermal ageing at 180&#176;C. This research provides a potential route to engineer precipitate microstructure for better strengthening effect in the Zr-containing Mg alloys.</p></sec></abs></fm><bdy><sec><st><p>Background</p></st><p>Mg-Zn-based alloys have attracted considerable attention due to their pronounced age-hardening effect <abbrgrp><abbr bid="B1">1</abbr><abbr bid="B2">2</abbr><abbr bid="B3">3</abbr><abbr bid="B4">4</abbr><abbr bid="B5">5</abbr></abbrgrp>. The key strengthening precipitates in this alloy system have been considered as two types of Zn-rich precipitates, the rod-like &#946;<sub>1</sub>&#8242; precipitates perpendicular to the (0001)<sub>&#945;</sub> plane and the plate-like &#946;<sub>2</sub>&#8242; precipitates parallel to the (0001)<sub>&#945;</sub> plane <abbrgrp><abbr bid="B1">1</abbr><abbr bid="B2">2</abbr><abbr bid="B3">3</abbr><abbr bid="B4">4</abbr><abbr bid="B5">5</abbr></abbrgrp>. Hardening by precipitation of &#946;-type precipitates is believed to be the main strengthening mechanism of Mg-Zn-based alloys <abbrgrp><abbr bid="B1">1</abbr></abbrgrp>.</p><p>Recently, a peak-aged Mg-6Zn-0.5Cu-0.6Zr cast alloy has been reported to possess excellent mechanical properties with an ultimate tensile strength of 266.3&#8201;MPa, a 0.2% proof yield strength of 185.6&#8201;MPa and an elongation of 16.7% <abbrgrp><abbr bid="B5">5</abbr></abbrgrp>. Both the strength and ductility of the newly designed Mg-6Zn-0.5Cu-0.6Zr alloy are superior to those of the traditional Mg-6Zn-xCu-0.5Mn alloys <abbrgrp><abbr bid="B5">5</abbr><abbr bid="B6">6</abbr></abbrgrp>. Since Zr-rich particles may form after a solution treatment in Zr-containing Mg alloys <abbrgrp><abbr bid="B2">2</abbr><abbr bid="B7">7</abbr><abbr bid="B8">8</abbr></abbrgrp>, the present research aims to unveil the effect of these pre-existing nanoscale Zr-rich particles on the formation of the subsequent &#946;-type precipitates of the Mg-6Zn-0.5Cu-0.6Zr alloy during age hardening.</p></sec><sec><st><p>Methods</p></st><p>The alloy with a nominal composition of Mg-6Zn-0.5Cu-0.6Zr (wt.%) for this study was prepared by melting high-purity Mg and Zn with Mg-28.78&#8201;wt.% Cu and Mg-31.63&#8201;wt.% master alloys, in a steel crucible and by casting into a permanent mould under an Ar atmosphere. Samples sectioned from the ingot were solution-treated for 24&#8201;h at 430&#176;C. To investigate the microstructural evolution of the Zr-rich and Zn-rich precipitates, the water-quenched samples were subsequently aged in an oil bath for 20 and 120&#8201;h at 180&#176;C. Thin foil specimens for scanning transmission electron microscopy (STEM) and transmission electron microscopy (TEM) were prepared by a twin-jet electropolisher using a solution of 10.6&#8201;g LiCl, 22.32&#8201;g&#8201;Mg(ClO<sub>4</sub>)<sub>2</sub>, 200&#8201;ml 2-butoxi-ethanol and 1,000&#8201;ml methanol at about &#8722;45&#176;C and 70&#8201;V. The STEM study was conducted using a JEOL 2200FS microscope (JEOL Ltd., Tokyo, Japan) equipped with a high-angle annular dark field (HAADF) detector and a Bruker energy dispersive X-ray spectrometer (EDXS) detector (Bruker AXS, Karlsruhe, Germany). The conventional TEM analysis was carried out using a JEOL 3000F microscope equipped with an Oxford EDXS detector (Oxford Instruments, Oxfordshire, UK).</p></sec><sec><st><p>Results and discussion</p></st><p>Figure <figr fid="F1">1</figr> shows the <inline-formula><m:math name="1556-276X-7-300-i1" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msub>
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</m:math></inline-formula> HAADF image and the corresponding EDXS map of the as-quenched sample after a solution treatment at 430&#176;C for 24&#8201;h. Most particles in the Mg matrix are predominantly rods/laths elongated along the [0001]<sub>&#945;</sub> direction, with a length of 50 to approximately 200&#8201;nm, although a few particles are elongated along other directions. The rod/lath morphology of these particles was confirmed by further large-angle tilting experiments. The Zr map, Zn map and a combined Zr and Zn map, as shown in Figure <figr fid="F1">1</figr>b,c and d, reveal that all rod-like particles in bright contrast in Figure <figr fid="F1">1</figr>a are enriched with Zn and Zr. This is in good agreement with the previous reports showing that Zr-rich phases exist in various Zr-containing Mg-Zn-based alloys after a solution treatment <abbrgrp><abbr bid="B2">2</abbr><abbr bid="B7">7</abbr><abbr bid="B8">8</abbr></abbrgrp>. EDXS analysis detected no enrichment of Cu in the Zr-rich particles.</p><fig id="F1"><title><p>Figure 1</p></title><caption><p>Alloy quenched after a solution treatment at 430&#176;C for 24&#8201;h</p></caption><text>
   <p><b>Alloy quenched after a solution treatment at 430&#176;C for 24&#8201;h.</b> The incident electron beam was parallel to <inline-formula><m:math name="1556-276X-7-300-i2" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msub>
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</m:math></inline-formula>. <b>(a)</b> HAADF image, <b>(b)</b> Zr EDXS map, <b>(c)</b> Zn EDXS map and <b>(d)</b> a combined EDXS map of Zr and Zn.</p>
</text><graphic file="1556-276X-7-300-1"/></fig><p>In order to investigate the effect of these pre-existing Zr-rich particles on the formation of Zn-rich strengthening precipitates during subsequent isothermal ageing, HAADF imaging and EDXS mapping were conducted on samples aged at 180&#176;C for different time. The <inline-formula><m:math name="1556-276X-7-300-i3" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msub>
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</m:math></inline-formula> HAADF image of the 20-h-aged sample, as shown in Figure <figr fid="F2">2</figr>a, reveals that a dispersion of particles was mostly elongated along the [0001]<sub>&#945;</sub> direction, with only one marked &#946;<sub>2</sub>&#8242; perpendicular to the [0001]<sub>&#945;</sub> direction. After tilting a large angle of approximately 51&#176; to the <inline-formula><m:math name="1556-276X-7-300-i4" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msub>
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</m:math></inline-formula> zone axis (Figure <figr fid="F2">2</figr>e), all particles observed in Figure <figr fid="F2">2</figr>a were found to be separate without overlapping with each other. The &#946;<sub>2</sub>&#8242; precipitate, marked in Figure <figr fid="F2">2</figr>a, is a plate containing a brighter core, which corresponds to an enrichment of Zr (Figure <figr fid="F2">2</figr>b). The Zr map, Zn map and a combined Zr and Zn map, as shown in Figure <figr fid="F2">2</figr>b,c, and d, demonstrate that most of the elongated particles were composites containing a Zn-rich part and a Zr-rich segment. Careful examinations of the EDXS maps and the HAADF image confirmed that each Zr-rich segment was located either at the end or in the middle of an individual elongated precipitate. Therefore, we conclude that those Zr-rich segments of the precipitates are, in fact, the remains of the Zr-rich particles initially present in the as-quenched condition. We further deduce that these Zr-rich particles served as a precursor phase for the heterogeneous nucleation of Zn-rich &#946;<sub>1</sub>&#8242; precipitates ([0001]<sub>&#945;</sub> rods) and &#946;<sub>2</sub>&#8242; precipitates ((0001)<sub>&#945;</sub> plates) in the Zr-rich core regions of the Mg alloy during subsequent ageing.</p><fig id="F2"><title><p>Figure 2</p></title><caption><p>Alloy aged at 180&#176;C for 20&#8201;h</p></caption><text>
   <p><b>Alloy aged at 180&#176;C for 20&#8201;h.</b> The incident electron beam was parallel to <inline-formula><m:math name="1556-276X-7-300-i5" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msub>
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</m:math></inline-formula> in <b>(a-d)</b> and <inline-formula><m:math name="1556-276X-7-300-i6" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msub>
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</m:math></inline-formula> in <b>(e)</b>, respectively. (a) <inline-formula><m:math name="1556-276X-7-300-i7" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msub>
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</m:math></inline-formula> HAADF image, (b) Zr EDXS map, (c) Zn EDXS map, (d) a combined EDXS map of Zr and Zn and (e) <inline-formula><m:math name="1556-276X-7-300-i8" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msub>
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</m:math></inline-formula> HAADF image.</p>
</text><graphic file="1556-276X-7-300-2"/></fig><p>Figure <figr fid="F3">3</figr> shows the HAADF image and the corresponding EDXS mapping result of the 120-h-aged sample. Both the length of [0001]<sub>&#945;</sub> &#946;<sub>1</sub>&#8242; rods and the thickness of (0001)<sub>&#945;</sub> &#946;<sub>2</sub>&#8242; plates grew significantly with the ageing time. The Zr map, Zn map and a combined Zr and Zn map, as shown in Figure <figr fid="F3">3</figr>b,c and d, indicate that many &#946;<sub>1</sub>&#8242; rods and the &#946;<sub>2</sub>&#8242; plate contain a Zr-rich segment. The sizes of Zr-rich segments observed in the 120-h-aged sample are smaller than those observed in the 20-h-aged sample. It appears that the size of the Zn-rich segments gradually increased at the expense of the Zr-rich segments during the isothermal ageing. After tilting approximately 36&#176; from the <inline-formula><m:math name="1556-276X-7-300-i9" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msub>
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</m:math></inline-formula> beam direction, a <inline-formula><m:math name="1556-276X-7-300-i10" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msub>
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</m:math></inline-formula> HAADF image (Figure <figr fid="F3">3</figr>e) further confirms the existence of the Zr-rich segments in the Zn-rich precipitates. All experimental evidences above indicate that the heterogeneous nucleation on the pre-existing Zr-rich particles is significantly important for the formation of Zn-rich precipitates (&#946;<sub>1</sub>&#8242; and &#946;<sub>2</sub>&#8242;) in the Zr-rich core regions of the Mg alloy during ageing at 180&#176;C.</p><fig id="F3"><title><p>Figure 3</p></title><caption><p>Alloy aged at 180&#176;C for 120&#8201;h</p></caption><text>
   <p><b>Alloy aged at 180&#176;C for 120&#8201;h.</b> The incident electron beam was parallel to <inline-formula><m:math name="1556-276X-7-300-i11" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msub>
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</m:math></inline-formula> in <b>(e)</b>, respectively. (a) <inline-formula><m:math name="1556-276X-7-300-i13" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msub>
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</m:math></inline-formula> HAADF image, (b) Zr EDXS map, (c) Zn EDXS map, (d) a combined EDXS map of Zr and Zn and (e) <inline-formula><m:math name="1556-276X-7-300-i14" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msub>
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</m:math></inline-formula> HAADF image.</p>
</text><graphic file="1556-276X-7-300-3"/></fig><p>To explore the crystallographic characteristics of these Zr-rich [0001]<sub>&#945;</sub> rods, we examined the as-quenched microstructure using TEM with the beam parallel to the [0001]<sub>&#945;</sub> direction, as shown in Figure <figr fid="F4">4</figr>. Most of the Zr-rich particles (&gt;80%) of the as-quenched sample in Figure <figr fid="F4">4</figr>a have a low aspect ratio in the range of 1:1 to approximately 1:3 and a thickness in the range of 6 to approximately 12&#8201;nm with their long side, which is less than 25&#8201;nm, parallel to the <inline-formula><m:math name="1556-276X-7-300-i15" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
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</m:math></inline-formula> directions. They are Zr-rich [0001]<sub>&#945;</sub> rod/lath particles observed previously by STEM examinations (Figure <figr fid="F1">1</figr>a). The rest of the Zr-rich particles (&lt;20%), marked with black arrows in Figure <figr fid="F4">4</figr>a, are thin rods with aspect ratios of 1:3 to approximately 1:20 and a thickness of 2 to approximately 5&#8201;nm, with their long axis approximately 23&#176; away from the <inline-formula><m:math name="1556-276X-7-300-i16" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
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</m:math></inline-formula> directions. They are similar to the type C Zr-rich rods reported by Gao et al <abbrgrp><abbr bid="B8">8</abbr></abbrgrp>. In contrast, the size and aspect ratio of the dominant Zr-rich [0001]<sub>&#945;</sub> rods/laths in the end-on view are significantly different from the Zr-rich <inline-formula><m:math name="1556-276X-7-300-i17" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
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</m:math></inline-formula> rods reported by Gao et al <abbrgrp><abbr bid="B8">8</abbr></abbrgrp>. This difference is possibly due to the different alloy systems and the heat treatment techniques.</p><fig id="F4"><title><p>Figure 4</p></title><caption><p>The nanoscale Zr-rich [0001]<sub>&#945;</sub> rod-like precipitates in the solution-treated alloy</p></caption><text>
   <p><b>The nanoscale Zr-rich [0001]</b><sub><b>&#945;</b></sub><b>rod-like precipitates in the solution-treated alloy. (a)</b> [0001]<sub>&#945;</sub> TEM micrograph and the EDXS spectrum (inset), and <b>(b)</b> micro-beam electron diffraction pattern.</p>
</text><graphic file="1556-276X-7-300-4"/></fig><p>Chemical microanalysis of these [0001]<sub>&#945;</sub> rods using EDXS indicated that the atomic ratio of Mg:Zn:Zr was about 51:19:30 (inset, Figure <figr fid="F4">4</figr>a), suggesting that these [0001]<sub>&#945;</sub> rods were Zr-rich precipitates with a Zn:Zr ratio close to 2:3. The corresponding micro-beam diffraction patterns (Figure <figr fid="F4">4</figr>b) confirm that these Zr-rich [0001]<sub>&#945;</sub> rods have a tetragonal structure similar to that of Zn<sub>2</sub>Zr<sub>3</sub> &#948; phase (a&#8201;=&#8201;b&#8201;=&#8201;7.633&#8201;&#197;, c&#8201;=&#8201;6.965&#8201;&#197;, &#945;&#8201;=&#8201;&#946;&#8201;=&#8201;&#947;&#8201;=&#8201;90 <abbrgrp><abbr bid="B8">8</abbr><abbr bid="B9">9</abbr></abbrgrp>). The orientation relationship (OR) implied by the superimposed precipitate and matrix patterns was such that <inline-formula><m:math name="1556-276X-7-300-i18" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
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         <m:mrow>
            <m:mn>1</m:mn>
            <m:mover accent="true">
               <m:mn>1</m:mn>
               <m:mo stretchy="true">&#175;</m:mo>
            </m:mover>
            <m:mn>0</m:mn>
         </m:mrow>
      </m:mfenced>
      <m:mi>&#948;</m:mi>
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   <m:mo>/</m:mo>
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         <m:mn>0001</m:mn>
      </m:mfenced>
      <m:mi>&#945;</m:mi>
   </m:msub>
</m:mrow>
</m:math></inline-formula><inline-formula><m:math name="1556-276X-7-300-i19" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
   <m:msub>
      <m:mfenced open="(" close=")">
         <m:mn>110</m:mn>
      </m:mfenced>
      <m:mi>&#948;</m:mi>
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            <m:mn>00</m:mn>
         </m:mrow>
      </m:mfenced>
      <m:mi>&#945;</m:mi>
   </m:msub>
</m:mrow>
</m:math></inline-formula> and <inline-formula><m:math name="1556-276X-7-300-i20" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
   <m:msub>
      <m:mfenced open="(" close=")">
         <m:mn>001</m:mn>
      </m:mfenced>
      <m:mi>&#948;</m:mi>
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               <m:mn>1</m:mn>
               <m:mo stretchy="true">&#175;</m:mo>
            </m:mover>
            <m:mover accent="true">
               <m:mn>1</m:mn>
               <m:mo stretchy="true">&#175;</m:mo>
            </m:mover>
            <m:mn>20</m:mn>
         </m:mrow>
      </m:mfenced>
      <m:mi>&#945;</m:mi>
   </m:msub>
</m:mrow>
</m:math></inline-formula>. By combing the commonly reported OR between &#946;<sub>1</sub>&#8242;-MgZn<sub>2</sub><abbrgrp><abbr bid="B3">3</abbr><abbr bid="B10">10</abbr></abbrgrp> /&#946;<sub>1</sub>&#8242;-Mg<sub>4</sub>Zn<sub>7</sub><abbrgrp><abbr bid="B11">11</abbr><abbr bid="B12">12</abbr></abbrgrp> and &#945;-Mg matrix with the OR of the &#948;-Zn<sub>2</sub>Zr<sub>3</sub> phase determined in this work, the possible ORs and the crystallographic disregistries between &#948; phase and &#946;<sub>1</sub>&#8242; phase were determined and listed in Table&#8201;<tblr tid="T1">1</tblr>. The inter-planar misfits between the matching planes <inline-formula><m:math name="1556-276X-7-300-i21" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
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         <m:mn>001</m:mn>
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         <m:mi>Z</m:mi>
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         <m:mi>Z</m:mi>
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            <m:mn>3</m:mn>
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      </m:mrow>
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         <m:mn>0001</m:mn>
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</m:math></inline-formula><inline-formula><m:math name="1556-276X-7-300-i22" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
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            <m:mn>2</m:mn>
         </m:msub>
         <m:mi>Z</m:mi>
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            <m:mn>3</m:mn>
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            <m:mn>70</m:mn>
         </m:mrow>
      </m:mfenced>
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         <m:mi>Z</m:mi>
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            <m:mn>7</m:mn>
         </m:msub>
      </m:mrow>
   </m:msub>
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</m:math></inline-formula><inline-formula><m:math name="1556-276X-7-300-i23" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
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         <m:mn>110</m:mn>
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         <m:mi>Z</m:mi>
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            <m:mn>3</m:mn>
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         <m:mn>630</m:mn>
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            <m:mn>1</m:mn>
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               <m:mn>7</m:mn>
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   </m:msub>
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</m:math></inline-formula> and the directional misfits along the matching directions <inline-formula><m:math name="1556-276X-7-300-i24" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
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         <m:mrow>
            <m:mn>1</m:mn>
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               <m:mn>1</m:mn>
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            <m:mn>0</m:mn>
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            <m:mn>11</m:mn>
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</m:math></inline-formula><inline-formula><m:math name="1556-276X-7-300-i25" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
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         <m:mrow>
            <m:mn>1</m:mn>
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               <m:mn>1</m:mn>
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            </m:mover>
            <m:mn>0</m:mn>
         </m:mrow>
      </m:mfenced>
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         <m:mi>Z</m:mi>
         <m:msub>
            <m:mi>r</m:mi>
            <m:mn>3</m:mn>
         </m:msub>
      </m:mrow>
   </m:msub>
   <m:mo>/</m:mo>
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         <m:mn>001</m:mn>
      </m:mfenced>
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            <m:mi>&#946;</m:mi>
            <m:mn>1</m:mn>
         </m:msub>
         <m:msup>
            <m:mrow/>
            <m:mo>&#8242;</m:mo>
         </m:msup>
         <m:mo>&#8722;</m:mo>
         <m:mi>M</m:mi>
         <m:msub>
            <m:mi>g</m:mi>
            <m:mn>4</m:mn>
         </m:msub>
         <m:mi>Z</m:mi>
         <m:msub>
            <m:mi>n</m:mi>
            <m:mn>7</m:mn>
         </m:msub>
      </m:mrow>
   </m:msub>
</m:mrow>
</m:math></inline-formula> were calculated as 2.5%, 5.4%, 5.1% and 3.2%, 1.8%, which are less than the critical values of 6% and 10% given in the edge-to-edge matching model <abbrgrp><abbr bid="B13">13</abbr></abbrgrp>. The low lattice mismatch between these two phases explains why &#946;<sub>1</sub>&#8242; rods form directly on the end plane (001)<sub>&#948;</sub> of the Zr-rich rods, as shown in Figures&#8201;<figr fid="F2">2</figr> and <figr fid="F3">3</figr>. The presence of the initial Zr-rich phases can provide much lower activation energy barrier and a favourable crystallographic correlation for the nucleation of the subsequent Zn-rich precipitates according to the classical nucleation theory <abbrgrp><abbr bid="B14">14</abbr></abbrgrp>.</p><table id="T1"><title><p>Table 1</p></title><caption><p><b>Calculated misfit values between &#946;</b><sub><b>1</b></sub><b>&#8242;-MgZn</b><sub><b>2</b></sub><b>/&#946;</b><sub><b>1</b></sub><b>&#8242;-Mg</b><sub><b>4</b></sub><b>Zn</b><sub><b>7</b></sub><b>and &#948;-Zn</b><sub><b>2</b></sub><b>Zr</b><sub><b>3</b></sub><b>phases</b></p></caption><tgroup align="left" cols="3"><colspec align="left" colname="c1" colnum="1" colwidth="1*"/><colspec align="left" colname="c2" colnum="2" colwidth="1*"/><colspec align="left" colname="c3" colnum="3" colwidth="1*"/><thead valign="top"><row rowsep="1"><entry colname="c1"><p><b>Matching direction/plans</b></p></entry><entry colname="c2"><p><b>Spacing or length (nm)</b></p></entry><entry colname="c3"><p><b>Misfit (%)</b></p></entry></row></thead><tfoot><p>d, spacing; L, length.</p></tfoot><tbody valign="top"><row><entry colname="c1"><p><inline-formula><m:math name="1556-276X-7-300-i26" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
   <m:msub>
      <m:mfenced open="[" close="]">
         <m:mrow>
            <m:mn>1</m:mn>
            <m:mover accent="true">
               <m:mn>1</m:mn>
               <m:mo stretchy="true">&#175;</m:mo>
            </m:mover>
            <m:mn>0</m:mn>
         </m:mrow>
      </m:mfenced>
      <m:mi>&#948;</m:mi>
   </m:msub>
   <m:msub>
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         <m:mi>Z</m:mi>
         <m:msub>
            <m:mi>n</m:mi>
            <m:mn>2</m:mn>
         </m:msub>
         <m:mi>Z</m:mi>
         <m:msub>
            <m:mi>r</m:mi>
            <m:mn>3</m:mn>
         </m:msub>
      </m:mrow>
   </m:msub>
   <m:mo>/</m:mo>
   <m:mo>/</m:mo>
   <m:msub>
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         <m:mrow>
            <m:mn>11</m:mn>
            <m:mover accent="true">
               <m:mn>2</m:mn>
               <m:mo stretchy="true">&#175;</m:mo>
            </m:mover>
            <m:mn>0</m:mn>
         </m:mrow>
      </m:mfenced>
      <m:mrow>
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            <m:mi>&#946;</m:mi>
            <m:mn>1</m:mn>
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         <m:msup>
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         </m:msup>
         <m:mo>&#8722;</m:mo>
         <m:mi>M</m:mi>
         <m:mi>g</m:mi>
         <m:mi>Z</m:mi>
         <m:msub>
            <m:mi>n</m:mi>
            <m:mn>2</m:mn>
         </m:msub>
      </m:mrow>
   </m:msub>
</m:mrow>
</m:math></inline-formula></p></entry><entry colname="c2"><p><inline-formula><m:math name="1556-276X-7-300-i27" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
   <m:msub>
      <m:mi>L</m:mi>
      <m:msub>
         <m:mfenced open="[" close="]">
            <m:mrow>
               <m:mn>1</m:mn>
               <m:mover accent="true">
                  <m:mn>1</m:mn>
                  <m:mo stretchy="true">&#175;</m:mo>
               </m:mover>
               <m:mn>0</m:mn>
            </m:mrow>
         </m:mfenced>
         <m:mrow>
            <m:mi>&#948;</m:mi>
            <m:mo>&#8722;</m:mo>
            <m:mi>Z</m:mi>
            <m:msub>
               <m:mi>n</m:mi>
               <m:mn>2</m:mn>
            </m:msub>
            <m:mi>Z</m:mi>
            <m:msub>
               <m:mi>r</m:mi>
               <m:mn>3</m:mn>
            </m:msub>
         </m:mrow>
      </m:msub>
   </m:msub>
   <m:mo>=</m:mo>
   <m:mn>1.0791</m:mn>
   <m:mtext>,</m:mtext>
   <m:mspace width="0.5em"/>
   <m:msub>
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      <m:mrow>
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            <m:mfenced open="[" close="]">
               <m:mrow>
                  <m:mn>11</m:mn>
                  <m:mover accent="true">
                     <m:mn>2</m:mn>
                     <m:mo stretchy="true">&#175;</m:mo>
                  </m:mover>
                  <m:mn>0</m:mn>
               </m:mrow>
            </m:mfenced>
            <m:mi>&#946;</m:mi>
         </m:msub>
         <m:msub>
            <m:mrow/>
            <m:mrow>
               <m:msup>
                  <m:msub>
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                     <m:mn>1</m:mn>
                  </m:msub>
                  <m:mo>&#8242;</m:mo>
               </m:msup>
               <m:mo>&#8722;</m:mo>
               <m:mi>M</m:mi>
               <m:mi>g</m:mi>
               <m:mi>Z</m:mi>
               <m:msub>
                  <m:mi>n</m:mi>
                  <m:mn>2</m:mn>
               </m:msub>
            </m:mrow>
         </m:msub>
      </m:mrow>
   </m:msub>
   <m:mo>=</m:mo>
   <m:mn>0.5223</m:mn>
</m:mrow>
</m:math></inline-formula></p></entry><entry colname="c3"><p>3.2</p></entry></row><row><entry colname="c1"><p><inline-formula><m:math name="1556-276X-7-300-i28" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
   <m:msub>
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         <m:mn>001</m:mn>
      </m:mfenced>
      <m:mrow>
         <m:mi>&#948;</m:mi>
         <m:mo>&#8722;</m:mo>
         <m:mi>Z</m:mi>
         <m:msub>
            <m:mi>n</m:mi>
            <m:mn>2</m:mn>
         </m:msub>
         <m:mi>Z</m:mi>
         <m:msub>
            <m:mi>r</m:mi>
            <m:mn>3</m:mn>
         </m:msub>
      </m:mrow>
   </m:msub>
   <m:mo>/</m:mo>
   <m:mo>/</m:mo>
   <m:msub>
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         <m:mn>0001</m:mn>
      </m:mfenced>
      <m:mrow>
         <m:msub>
            <m:mi>&#946;</m:mi>
            <m:mn>1</m:mn>
         </m:msub>
         <m:msup>
            <m:mrow/>
            <m:mo>&#8242;</m:mo>
         </m:msup>
      </m:mrow>
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   <m:msub>
      <m:mrow/>
      <m:mrow>
         <m:mo>&#8722;</m:mo>
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            <m:mi>n</m:mi>
            <m:mn>2</m:mn>
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</m:mrow>
</m:math></inline-formula> (end plane)</p></entry><entry colname="c2"><p><inline-formula><m:math name="1556-276X-7-300-i29" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
   <m:msub>
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            <m:mn>001</m:mn>
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            <m:mi>&#948;</m:mi>
            <m:mo>&#8722;</m:mo>
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               <m:mi>n</m:mi>
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            <m:mi>Z</m:mi>
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               <m:mi>r</m:mi>
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   <m:msub>
      <m:mi>d</m:mi>
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               <m:mn>0001</m:mn>
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         <m:msub>
            <m:msub>
               <m:mrow/>
               <m:msup>
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                     <m:mrow/>
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                  </m:msub>
                  <m:mo>&#8242;</m:mo>
               </m:msup>
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            <m:mrow>
               <m:mo>&#8722;</m:mo>
               <m:mi>M</m:mi>
               <m:mi>g</m:mi>
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                  <m:mi>n</m:mi>
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</m:mrow>
</m:math></inline-formula></p></entry><entry colname="c3"><p>2.5</p></entry></row><row><entry colname="c1"><p><inline-formula><m:math name="1556-276X-7-300-i30" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
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         <m:mn>100</m:mn>
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      <m:mrow>
         <m:mi>&#948;</m:mi>
         <m:mo>&#8722;</m:mo>
         <m:mi>Z</m:mi>
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            <m:mi>n</m:mi>
            <m:mn>2</m:mn>
         </m:msub>
         <m:mi>Z</m:mi>
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            <m:mi>r</m:mi>
            <m:mn>3</m:mn>
         </m:msub>
      </m:mrow>
   </m:msub>
   <m:mo>/</m:mo>
   <m:mo>/</m:mo>
   <m:msub>
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         <m:mrow>
            <m:mover accent="true">
               <m:mn>1</m:mn>
               <m:mo stretchy="true">&#175;</m:mo>
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            <m:mn>100</m:mn>
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      <m:mrow>
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            <m:mi>&#946;</m:mi>
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         <m:msup>
            <m:mrow/>
            <m:mo>&#8242;</m:mo>
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      </m:mrow>
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   <m:msub>
      <m:mrow/>
      <m:mrow>
         <m:mo>&#8722;</m:mo>
         <m:mi>M</m:mi>
         <m:mi>g</m:mi>
         <m:mi>Z</m:mi>
         <m:msub>
            <m:mi>n</m:mi>
            <m:mn>2</m:mn>
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      </m:mrow>
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</m:mrow>
</m:math></inline-formula> (side plane)</p></entry><entry colname="c2"><p><inline-formula><m:math name="1556-276X-7-300-i31" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
   <m:msub>
      <m:mi>d</m:mi>
      <m:mrow>
         <m:msub>
            <m:mfenced open="(" close=")">
               <m:mn>110</m:mn>
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            <m:mi>&#948;</m:mi>
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         <m:msub>
            <m:mrow/>
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                  <m:mi>n</m:mi>
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               <m:mi>Z</m:mi>
               <m:msub>
                  <m:mi>r</m:mi>
                  <m:mn>3</m:mn>
               </m:msub>
            </m:mrow>
         </m:msub>
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            <m:mrow>
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                  </m:msub>
                  <m:mo>&#8242;</m:mo>
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               <m:mo>&#8722;</m:mo>
               <m:mi>M</m:mi>
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               <m:msub>
                  <m:mi>n</m:mi>
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</m:math></inline-formula></p></entry><entry colname="c3"><p>16.2</p></entry></row><row><entry colname="c1"><p><inline-formula><m:math name="1556-276X-7-300-i32" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
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         <m:mi>Z</m:mi>
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            <m:mn>2</m:mn>
         </m:msub>
         <m:mi>Z</m:mi>
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            <m:mi>r</m:mi>
            <m:mn>3</m:mn>
         </m:msub>
      </m:mrow>
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   <m:mo>/</m:mo>
   <m:mo>/</m:mo>
   <m:msub>
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            <m:mi>&#946;</m:mi>
            <m:mn>1</m:mn>
         </m:msub>
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         <m:mo>&#8722;</m:mo>
         <m:mi>M</m:mi>
         <m:msub>
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            <m:mn>4</m:mn>
         </m:msub>
         <m:mi>Z</m:mi>
         <m:msub>
            <m:mi>n</m:mi>
            <m:mn>7</m:mn>
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</m:mrow>
</m:math></inline-formula></p></entry><entry colname="c2"><p><inline-formula><m:math name="1556-276X-7-300-i33" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
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            <m:mrow>
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            </m:msub>
            <m:mi>Z</m:mi>
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               <m:mi>r</m:mi>
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      </m:msub>
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               <m:mn>001</m:mn>
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            <m:mi>&#946;</m:mi>
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            <m:mrow/>
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                  <m:msub>
                     <m:mrow/>
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                  </m:msub>
                  <m:mo>&#8242;</m:mo>
               </m:msup>
               <m:mo>&#8722;</m:mo>
               <m:mi>M</m:mi>
               <m:msub>
                  <m:mi>g</m:mi>
                  <m:mn>4</m:mn>
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</m:math></inline-formula></p></entry><entry colname="c3"><p>1.8</p></entry></row><row><entry colname="c1"><p><inline-formula><m:math name="1556-276X-7-300-i34" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
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         <m:mi>Z</m:mi>
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            <m:mi>n</m:mi>
            <m:mn>2</m:mn>
         </m:msub>
         <m:mi>Z</m:mi>
         <m:msub>
            <m:mi>r</m:mi>
            <m:mn>3</m:mn>
         </m:msub>
      </m:mrow>
   </m:msub>
   <m:mo>/</m:mo>
   <m:mo>/</m:mo>
   <m:msub>
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         <m:mrow>
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      <m:mrow>
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            <m:mi>&#946;</m:mi>
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         <m:msup>
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            <m:mo>&#8242;</m:mo>
         </m:msup>
      </m:mrow>
   </m:msub>
   <m:msub>
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         <m:mi>M</m:mi>
         <m:msub>
            <m:mi>g</m:mi>
            <m:mn>4</m:mn>
         </m:msub>
         <m:mi>Z</m:mi>
         <m:msub>
            <m:mi>n</m:mi>
            <m:mn>7</m:mn>
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</m:mrow>
</m:math></inline-formula> (end plane)</p></entry><entry colname="c2"><p><inline-formula><m:math name="1556-276X-7-300-i35" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
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            <m:mi>&#948;</m:mi>
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               <m:mi>n</m:mi>
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            </m:msub>
            <m:mi>Z</m:mi>
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               <m:mi>r</m:mi>
               <m:mn>3</m:mn>
            </m:msub>
         </m:mrow>
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      <m:mi>d</m:mi>
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            <m:mi>&#946;</m:mi>
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         <m:msub>
            <m:msub>
               <m:mrow/>
               <m:msup>
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                     <m:mrow/>
                     <m:mn>1</m:mn>
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               </m:msup>
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            <m:mrow>
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               <m:mi>M</m:mi>
               <m:msub>
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                  <m:mn>4</m:mn>
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               <m:mi>Z</m:mi>
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</m:math></inline-formula></p></entry><entry colname="c3"><p>5.4</p></entry></row><row rowsep="1"><entry colname="c1"><p><inline-formula><m:math name="1556-276X-7-300-i36" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
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         <m:mn>110</m:mn>
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      <m:mrow>
         <m:mi>&#948;</m:mi>
         <m:mo>&#8722;</m:mo>
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            <m:mi>n</m:mi>
            <m:mn>2</m:mn>
         </m:msub>
         <m:mi>Z</m:mi>
         <m:msub>
            <m:mi>r</m:mi>
            <m:mn>3</m:mn>
         </m:msub>
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   </m:msub>
   <m:mo>/</m:mo>
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         <m:mn>630</m:mn>
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            <m:mi>&#946;</m:mi>
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         <m:msup>
            <m:mrow/>
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      </m:mrow>
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   <m:msub>
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      <m:msub>
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            <m:mi>M</m:mi>
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            <m:mi>Z</m:mi>
            <m:msub>
               <m:mi>n</m:mi>
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</m:mrow>
</m:math></inline-formula> (side plane)</p></entry><entry colname="c2"><p><inline-formula><m:math name="1556-276X-7-300-i37" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow>
   <m:msub>
      <m:mi>d</m:mi>
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            <m:mrow/>
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                  <m:mi>n</m:mi>
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                  <m:mi>r</m:mi>
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</m:math></inline-formula></p></entry><entry colname="c3"><p>5.1</p></entry></row></tbody></tgroup></table><p>It is a significant finding that the Zr-rich phases can act as the precursor phase for the heterogeneous nucleation of Zn-rich &#946;-type strengthening phases in the Mg alloy, given that the Zr-rich core region is a major microstructural feature of Zr-containing Mg alloys <abbrgrp><abbr bid="B7">7</abbr><abbr bid="B8">8</abbr></abbrgrp>. By effectively engineering Zr-rich [0001]<sub>&#945;</sub> rods in the Zr-rich cores of Mg alloys using a solution treatment, the formation of [0001]<sub>&#945;</sub> &#946;<sub>1</sub>&#8242; rods could be promoted according to the heterogeneous nucleation mechanism revealed by this research.</p></sec><sec><st><p>Conclusions</p></st><p>In summary, we have demonstrated that the nanoscale Zr-rich [0001]<sub>&#945;</sub> rods/laths were predominant in Zr-rich core regions of the Mg-6Zn-0.5Cu-0.6Zr (wt.%) alloy after a solution treatment at 430&#176;C. The nanoscale Zr-rich particles served as a precursor phase for the heterogeneous nucleation of the Zn-rich &#946;-type strengthening precipitates during subsequent isothermal ageing at 180&#176;C. These results are important for controlling Zr-rich particles in the Zr-rich core regions for enhancing the overall strength of the Mg alloy.</p></sec><sec><st><p>Abbreviations</p></st><p>OR, orientation relationship; STEM, scanning transmission electron microscopy; TEM, transmission electron microscopy; HAADF, high-angle annular dark field; EDXS, energy dispersive X-ray spectrometer.</p></sec><sec><st><p>Competing interests</p></st><p>The authors declare that they have no competing interests.</p></sec><sec><st><p>Authors&#8217; contributions</p></st><p>HZ conducted all the experiments and drafted the manuscript. GS, JL and CL designed the experiments and supervised the whole study. HWL and CW participated in the measurements and data analysis. RZ helped in the experiments and characterization. ZL and SPR provided the financial and technical support to the study. All the authors read and approved the final manuscript.</p></sec></bdy><bm><ack><sec><st><p>Acknowledgements</p></st><p>This project was supported by the National Basic Research (973) Program of China (no. 2009CB623704), Nature Science Foundation of Guangdong Province (no. 07006483), the Doctoral Scientific Research Foundation of the University of South China (no. 2011XQD26), China Scholarship Council and the Australian Research Council Centre of Excellence for Design in Light Metals. ZL acknowledges the funding support by the Australian Research Council (DP0881700). 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