{"id":36783,"date":"2002-08-01T21:07:32","date_gmt":"2002-08-01T21:07:32","guid":{"rendered":"https:\/\/silvaco.com\/%e6%9c%aa%e5%88%86%e7%b1%bb\/the-valdinoci-temperature-dependent-impact-ionization-model-for-silicon\/"},"modified":"2021-10-13T10:44:24","modified_gmt":"2021-10-13T17:44:24","slug":"the-valdinoci-temperature-dependent-impact-ionization-model-for-silicon","status":"publish","type":"post","link":"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/the-valdinoci-temperature-dependent-impact-ionization-model-for-silicon\/","title":{"rendered":"The Valdinoci Temperature Dependent Impact Ionization Model for Silicon"},"content":{"rendered":"<div id='template_overview'  class='avia-section main_color avia-section-small avia-no-border-styling  avia-bg-style-scroll  avia-builder-el-0  el_before_av_section  avia-builder-el-first   container_wrap fullsize' style='background-color: #ffffff;  margin-top:0px; margin-bottom:0px; '  ><div class='container' ><main  role=\"main\" itemprop=\"mainContentOfPage\"  class='template-page content  av-content-full alpha units'><div class='post-entry post-entry-type-page post-entry-36783'><div class='entry-content-wrapper clearfix'>\n<div class='flex_column_table av-equal-height-column-flextable -flextable' style='margin-top:20px; margin-bottom:0px; '><div class=\"flex_column av_three_fourth  flex_column_table_cell av-equal-height-column av-align-top first  avia-builder-el-1  el_before_av_one_fourth  avia-builder-el-first  \" style='padding:0px 0px 0px 0px ; border-radius:0px; '><section class=\"av_textblock_section \"  itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/BlogPosting\" itemprop=\"blogPost\" ><div class='avia_textblock  '   itemprop=\"text\" ><h1>The Valdinoci Temperature Dependent Impact Ionization Model for Silicon<\/h1>\n<h3>Introduction<\/h3>\n<p>Impact ionization plays an important role in the design of many semiconductor devices. Since impact ionization is both temperature and electric field dependent, it is important to use a model which has the correct functional behavior. For most devices impact ionization defines the safe region of operation within a moderate range of temperatures, so the temperature dependence of impact ionization is of lessor importance than the field dependence. However, for devices which must operate outside of the usual temperature limits, or which carry enough current to heat themselves out of those limits, both field dependence and temperature dependence of the model must be accurate.<\/p>\n<p>Impact ionization has been measured and modeled extensively at room temperature. Recently, Valdinoci et al.[1], have extended the measured temperature range to 400\u00b0C and developed a compact model for both electron and hole impact ionization. Their analytic model is given by<\/p>\n<\/div><\/section><\/div><div class='av-flex-placeholder'><\/div><div class=\"flex_column av_one_fourth  flex_column_table_cell av-equal-height-column av-align-top av-zero-column-padding   avia-builder-el-3  el_after_av_three_fourth  avia-builder-el-last  \" style='border-radius:0px; ' id=\"whitepaper\" ><p><div  class='avia-builder-widget-area clearfix  avia-builder-el-4  el_before_av_image  avia-builder-el-first '><div id=\"nav_menu-29\" class=\"widget clearfix widget_nav_menu\"><div class=\"menu-simulation-standard-side-menu-chinese-simplified-container\"><ul id=\"menu-simulation-standard-side-menu-chinese-simplified\" class=\"menu\"><li id=\"menu-item-35571\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-35571\"><a href=\"https:\/\/silvaco.com\/zh-hans\/technical-library\/simulation-standard\/\">Simulation Standard<\/a><\/li>\n<\/ul><\/div><\/div><\/div><br \/>\n<div  class='avia-image-container  av-styling-    avia-builder-el-5  el_after_av_sidebar  el_before_av_button  avia-align-center '  itemprop=\"image\" itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/ImageObject\"  ><div class='avia-image-container-inner'><div class='avia-image-overlay-wrap'><a href=\"\/dynamicweb\/jsp\/downloads\/DownloadDocStepsAction.do?req=download&amp;nm=simstd_aug_2002_a3.pdf\" class='avia_image' target=\"_blank\" rel=\"noopener noreferrer\"><img decoding=\"async\" width=\"1287\" height=\"1669\" class='wp-image-21598 avia-img-lazy-loading-not-21598 avia_image' src=\"https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_aug_2002_a3.jpg\" alt='' title='simstd_aug_2002_a3'  itemprop=\"thumbnailUrl\" srcset=\"https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_aug_2002_a3.jpg 1287w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_aug_2002_a3-231x300.jpg 231w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_aug_2002_a3-794x1030.jpg 794w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_aug_2002_a3-768x996.jpg 768w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_aug_2002_a3-1184x1536.jpg 1184w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_aug_2002_a3-1157x1500.jpg 1157w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_aug_2002_a3-544x705.jpg 544w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_aug_2002_a3-29x37.jpg 29w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_aug_2002_a3-42x55.jpg 42w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_aug_2002_a3-37x48.jpg 37w\" sizes=\"(max-width: 1287px) 100vw, 1287px\" \/><\/a><\/div><\/div><\/div><br \/>\n<div  class='avia-button-wrap avia-button-center  avia-builder-el-6  el_after_av_image  avia-builder-el-last ' ><a href='\/dynamicweb\/jsp\/downloads\/DownloadDocStepsAction.do?req=download&amp;nm=simstd_aug_2002_a3.pdf' class='avia-button  avia-color-grey   avia-icon_select-yes-right-icon avia-size-small avia-position-center ' target=\"_blank\" rel=\"noopener noreferrer\"><span class='avia_iconbox_title' >Download Simulation Standard<\/span><span class='avia_button_icon avia_button_icon_right' aria-hidden='true' data-av_icon='\ue875' data-av_iconfont='entypo-fontello'><\/span><\/a><\/div><\/p><\/div><\/div><!--close column table wrapper. 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Autoclose: 1 -->\n<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Impact ionization plays an important role in the design of many semiconductor devices. Since impact ionization is both temperature and electric field dependent, it is important to use a model which has the correct functional behavior. For most devices impact ionization defines the safe region of operation within a moderate range of temperatures, so the temperature dependence of impact ionization is of lessor importance than the field dependence. However, for devices which must operate outside of the usual temperature limits, or which carry enough current to heat themselves out of those limits, both field dependence and temperature dependence of the model must be accurate.<\/p>\n","protected":false},"author":2,"featured_media":21598,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7723],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.0 (Yoast SEO v24.0) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The Valdinoci Temperature Dependent Impact Ionization Model for Silicon - Silvaco<\/title>\n<meta name=\"description\" content=\"The Valdinoci Temperature Dependent Impact Ionization Model for Silicon\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/the-valdinoci-temperature-dependent-impact-ionization-model-for-silicon\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The Valdinoci Temperature Dependent Impact Ionization Model for Silicon\" \/>\n<meta property=\"og:description\" content=\"The Valdinoci Temperature Dependent Impact Ionization Model for Silicon\" \/>\n<meta property=\"og:url\" content=\"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/the-valdinoci-temperature-dependent-impact-ionization-model-for-silicon\/\" \/>\n<meta property=\"og:site_name\" content=\"Silvaco\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/SilvacoSoftware\/\" \/>\n<meta property=\"article:published_time\" content=\"2002-08-01T21:07:32+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-10-13T17:44:24+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_aug_2002_a3.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1287\" \/>\n\t<meta property=\"og:image:height\" content=\"1669\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Graham Bell\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@SilvacoSoftware\" \/>\n<meta name=\"twitter:site\" content=\"@SilvacoSoftware\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"Graham Bell\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/the-valdinoci-temperature-dependent-impact-ionization-model-for-silicon\/\",\"url\":\"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/the-valdinoci-temperature-dependent-impact-ionization-model-for-silicon\/\",\"name\":\"The Valdinoci Temperature Dependent Impact Ionization Model for Silicon - 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