{"id":394,"date":"2017-10-31T23:34:10","date_gmt":"2017-10-31T23:34:10","guid":{"rendered":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/?p=394"},"modified":"2017-11-06T21:00:09","modified_gmt":"2017-11-06T21:00:09","slug":"gan-nanostructure-design-for-optimal-dislocation-filtering","status":"publish","type":"post","link":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/gan-nanostructure-design-for-optimal-dislocation-filtering\/","title":{"rendered":"Z Liang, R Colby, IH Wildeson, DA Ewoldt, TD Sands, EA Stach, RE Garc\u00eda &#8220;GaN nanostructure design for optimal dislocation filtering.&#8221;\u00a0Journal of Applied Physics. 108(7):074313, 2010."},"content":{"rendered":"<p>Z Liang, R Colby, IH Wildeson, DA Ewoldt, TD Sands, EA Stach, RE Garc\u00eda &#8220;<a class=\"gsc_vcd_title_link\" href=\"http:\/\/aip.scitation.org\/doi\/abs\/10.1063\/1.3491024\" target=\"_blank\" rel=\"noopener\" data-clk=\"hl=en&amp;sa=T&amp;ei=Dhn5WdP1I5HAmgGj3xA\">GaN nanostructure design for optimal dislocation filtering<\/a>.&#8221;\u00a0<strong>Journal of Applied Physics.<\/strong> 108(7):074313, 2010.<\/p>\n<h3>Abstract<\/h3>\n<p>The effect of image forces in GaN pyramidal nanorod structures is investigated to develop dislocation-free light emitting diodes (LEDs). A model based on the eigenstrain method and nonlocal stress is developed to demonstrate that the pyramidal nanorod efficiently ejects dislocations out of the structure. Two possible regimes of filtering behavior are found: (1) cap-dominated and (2) base-dominated. The cap-dominated regime is shown to be the more effective filtering mechanism. Optimal ranges of fabrication parameters that favor a dislocation-free LED are predicted and corroborated by resorting to available experimental evidence. The filtering probability is summarized as a function of practical processing parameters: the nanorod radius and height. The results suggest an optimal nanorod geometry with a radius of <span class=\"equationTd inline-formula\"><span id=\"MathJax-Element-2-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 20px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot; overflow=&quot;scroll&quot; altimg=&quot;eq-00001.gif&quot;&gt;&lt;mrow&gt;&lt;mo&gt;&amp;#x223C;&lt;\/mo&gt;&lt;mn&gt;50&lt;\/mn&gt;&lt;mi&gt;b&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-6\" class=\"math\"><span id=\"MathJax-Span-7\" class=\"mrow\"><span id=\"MathJax-Span-8\" class=\"mrow\"><span id=\"MathJax-Span-9\" class=\"mo\">\u223c<\/span><span id=\"MathJax-Span-10\" class=\"mn\">50<\/span><span id=\"MathJax-Span-11\" class=\"mi\">b\u00a0<\/span><\/span><\/span><\/span><\/span><\/span>(26 nm) and a height of <span class=\"equationTd inline-formula\"><span id=\"MathJax-Element-3-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 20px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot; overflow=&quot;scroll&quot; altimg=&quot;eq-00002.gif&quot;&gt;&lt;mrow&gt;&lt;mo&gt;&amp;#x223C;&lt;\/mo&gt;&lt;mn&gt;125&lt;\/mn&gt;&lt;mi&gt;b&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-12\" class=\"math\"><span id=\"MathJax-Span-13\" class=\"mrow\"><span id=\"MathJax-Span-14\" class=\"mrow\"><span id=\"MathJax-Span-15\" class=\"mo\">\u223c<\/span><span id=\"MathJax-Span-16\" class=\"mn\">125<\/span><span id=\"MathJax-Span-17\" class=\"mi\">b<\/span><\/span><\/span><\/span><\/span><\/span> (65 nm), in which <span class=\"equationTd inline-formula\"><span id=\"MathJax-Element-4-Frame\" class=\"MathJax\" style=\"display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 20px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot; overflow=&quot;scroll&quot; altimg=&quot;eq-00003.gif&quot;&gt;&lt;mi&gt;b&lt;\/mi&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-18\" class=\"math\"><span id=\"MathJax-Span-19\" class=\"mrow\"><span id=\"MathJax-Span-20\" class=\"mi\">b<\/span><\/span><\/span><\/span><\/span> is the magnitude of the Burgers vector for the GaN system studied. A filtering probability of greater than 95% is predicted for the optimal geometry.<\/p>\n","protected":false},"excerpt":{"rendered":"<p class=\"post-excerpt\" class=\"post-excerpt\">Z Liang, R Colby, IH Wildeson, DA Ewoldt, TD Sands, EA Stach,&hellip;<\/p>\n<div class=\"link-more\"><a href=\"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/gan-nanostructure-design-for-optimal-dislocation-filtering\/\">Continue reading<span class=\"screen-reader-text\"> &#8220;Z Liang, R Colby, IH Wildeson, DA Ewoldt, TD Sands, EA Stach, RE Garc\u00eda &#8220;GaN nanostructure design for optimal dislocation filtering.&#8221;\u00a0Journal of Applied Physics. 108(7):074313, 2010.&#8221;<\/span>&hellip;<\/a><\/div>\n<div class=\"link-more\"><a href=\"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/gan-nanostructure-design-for-optimal-dislocation-filtering\/\">Continue reading<span class=\"screen-reader-text\"> \"Z Liang, R Colby, IH Wildeson, DA Ewoldt, TD Sands, EA Stach, RE Garc\u00eda &#8220;GaN nanostructure design for optimal dislocation filtering.&#8221;\u00a0Journal of Applied Physics. 108(7):074313, 2010.\"<\/span>&hellip;<\/a><\/div>","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"advanced_seo_description":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true},"categories":[45],"tags":[59,58],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/peeeSR-6m","jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":387,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/dislocation-filtering-in-gan-nanostructures\/","url_meta":{"origin":394,"position":0},"title":"R Colby, Z Liang, IH Wildeson, DA Ewoldt, TD Sands, RE Garc\u00eda, EA Stach &#8220;Dislocation Filtering in GaN Nanostructures.&#8221; \u00a0Nano Letters. 10(5): 1568-1573, 2010.","date":"10\/31\/2017","format":false,"excerpt":"R Colby, Z Liang, IH Wildeson, DA Ewoldt, TD Sands, RE Garc\u00eda, EA Stach \"Dislocation Filtering in GaN Nanostructures.\" \u00a0Nano Letters. 10(5): 1568-1573, 2010. Abstract Dislocation filtering in GaN by selective area growth through a nanoporous template is examined both by transmission electron microscopy and numerical modeling. These nanorods grow\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":389,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/iii-nitride-nanopyramid-light-emitting-diodes-grown-by-organometallic-vapor-phase-epitaxy\/","url_meta":{"origin":394,"position":1},"title":"IH Wildeson, R Colby, DA Ewoldt, Z Liang, DN Zakharov, NJ Zaluzec, RE Garc\u00eda, EA Stach, TD Sands &#8220;III-nitride nanopyramid light emitting diodes grown by organometallic vapor phase epitaxy.&#8221;\u00a0Journal of Applied Physics. 108:\u00a0044303, 2010.","date":"10\/31\/2017","format":false,"excerpt":"IH Wildeson, R Colby, DA Ewoldt, Z Liang, DN Zakharov, NJ Zaluzec, RE Garc\u00eda, EA Stach, TD Sands \"III-nitride nanopyramid light emitting diodes grown by organometallic vapor phase epitaxy.\"\u00a0Journal of Applied Physics. 108:\u00a0044303, 2010. Abstract Nanopyramid light emitting diodes (LEDs) have been synthesized by selective area organometallic vapor phase epitaxy.\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":441,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/z-liang-i-wildeson-r-colby-d-ewoldt-t-zhang-t-d-sands-e-stach-b-benes-e-garcia-built-in-electric-field-minimization-in-in-ga-n-nanoheterostructures-nano-letters-11114515-4519\/","url_meta":{"origin":394,"position":2},"title":"Z Liang, I Wildeson, R Colby, D Ewoldt, T Zhang, T D Sands, E Stach, B Benes, E Garc\u00eda &#8220;Built-In Electric Field Minimization in (In, Ga) N Nanoheterostructures.&#8221; \u00a0Nano Letters. 11(11):4515-4519, 2011.","date":"11\/04\/2017","format":false,"excerpt":"Z Liang, I Wildeson, R Colby, D Ewoldt, T Zhang, T D Sands, E Stach, B Benes, E Garc\u00eda \"Built-In Electric Field Minimization in (In, Ga) N Nanoheterostructures.\" \u00a0Nano Letters. 11(11):4515-4519, 2011. Abstract (In, Ga)N nanostructures show great promise as the basis for next generation LED lighting technology, for they\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":464,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/bj-kim-re-garcia-ea-stach-kinetics-of-congruent-vaporization-of-zno-islands-physical-review-letters-10714146101-2011\/","url_meta":{"origin":394,"position":3},"title":"BJ Kim, RE Garc\u00eda, EA Stach &#8220;Kinetics of Congruent Vaporization of ZnO Islands.&#8221;\u00a0Physical Review Letters. 107(14):146101, 2011.","date":"11\/04\/2017","format":false,"excerpt":"BJ Kim, RE Garc\u00eda, EA Stach \"Kinetics of Congruent Vaporization of ZnO Islands.\"\u00a0Physical Review Letters. 107(14):146101, 2011. Abstract We examine the congruent vaporization of ZnO islands using in\u00a0situ transmission electron microscopy. Correlating quantitative measurements with a theoretical model offers a comprehensive understanding of the equilibrium conditions of the system, including\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":764,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2018\/05\/15\/high-temperature-deformability-of-ductile-flash-sintered-ceramics\/","url_meta":{"origin":394,"position":4},"title":"J. Cho, Q. Li, H. Wang, Z. Fan, J. Li, S. Xue, K. S. N. Vikrant, H. Wang, T. B. Holland, A. K. Mukherjee, R. E. Garc\u00eda,  X. Zhang \u201cHigh temperature deformability of ductile flash-sintered ceramics via in-situ compression.\u201d Nature Communications.  9: 2063 (2018).","date":"05\/15\/2018","format":false,"excerpt":"J. Cho, Q. Li, H. Wang, Z. Fan, J. Li, S. Xue, K. S. N. Vikrant, H. Wang, T. B. Holland, A. K. Mukherjee, R. E. Garc\u00eda, X. Zhang \u201cHigh temperature deformability of ductile flash-sintered ceramics via in-situ compression.\u201d Nature Communications. 9:2063 (2018). https:\/\/doi.org\/10.1038\/s41467-018-04333-2 Abstract Flash sintering has attracted significant\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":471,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/s-b-lee-ts-key-z-liang-re-garcia-s-wang-x-tricoche-gs-rohrer-y-saito-c-ito-t-tani-microstructure-design-of-lead-free-piezoelectric-ceramics-journal-of-the-european-ceramic-society\/","url_meta":{"origin":394,"position":5},"title":"S-B Lee, TS Key, Z Liang, RE Garc\u00eda, S Wang, X Tricoche, GS Rohrer, Y Saito, C Ito, T Tani &#8220;Microstructure design of lead-free piezoelectric ceramics.&#8221;\u00a0Journal of the European Ceramic Society. 33:313-326, 2013.","date":"11\/04\/2017","format":false,"excerpt":"S-B Lee, TS Key, Z Liang, RE Garc\u00eda, S Wang, X Tricoche, GS Rohrer, Y Saito, C Ito, T Tani \"Microstructure design of lead-free piezoelectric ceramics.\"\u00a0Journal of the European Ceramic Society. 33:313-326, 2013. Abstract Computational and experimental methodologies are integrated into a novel combined technique to define microstructure design criteria\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"_links":{"self":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/394"}],"collection":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/comments?post=394"}],"version-history":[{"count":2,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/394\/revisions"}],"predecessor-version":[{"id":554,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/394\/revisions\/554"}],"wp:attachment":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/media?parent=394"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/categories?post=394"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/tags?post=394"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}