{"id":31344,"date":"2002-08-01T21:07:32","date_gmt":"2002-08-01T21:07:32","guid":{"rendered":"https:\/\/silvaco.com\/%eb%b6%84%eb%a5%98%eb%90%98%ec%a7%80-%ec%95%8a%ec%9d%8c\/the-valdinoci-temperature-dependent-impact-ionization-model-for-silicon\/"},"modified":"2026-10-15T14:31:21","modified_gmt":"2026-10-15T21:31:21","slug":"the-valdinoci-temperature-dependent-impact-ionization-model-for-silicon","status":"publish","type":"post","link":"https:\/\/silvaco.com\/ko\/simulation-standard-ko\/the-valdinoci-temperature-dependent-impact-ionization-model-for-silicon\/","title":{"rendered":"The Valdinoci Temperature Dependent Impact Ionization Model for Silicon"},"content":{"rendered":"<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<p><img loading=\"lazy\" width=\"1287\" height=\"1669\" src=\"https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_aug_2002_a3.jpg\" class=\"cleaned-enfold-image\" alt=\"\" decoding=\"async\" loading=\"lazy\" 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=\"auto, (max-width: 1287px) 100vw, 1287px\" \/><\/p>\n<p><a href=\"https:\/\/silvaco.com\/dynamicweb\/jsp\/downloads\/DownloadDocStepsAction.do?req=download&#038;nm=simstd_aug_2002_a3.pdf\" class=\"BGT-btn\" target=\"_blank\" rel=\"noopener noreferrer\">Download Simulation Standard<\/a><\/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":12,"featured_media":21600,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[7486],"tags":[],"class_list":["post-31344","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-simulation-standard-ko","entry","has-media"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v28.7 (Yoast SEO v28.7) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\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\/ko\/simulation-standard-ko\/the-valdinoci-temperature-dependent-impact-ionization-model-for-silicon\/\" \/>\n<meta property=\"og:locale\" content=\"ko_KR\" \/>\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\/ko\/simulation-standard-ko\/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=\"2026-10-15T21:31:21+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=\"Casey Molver\" \/>\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=\"\uae00\uc4f4\uc774\" \/>\n\t<meta name=\"twitter:data1\" content=\"Casey Molver\" \/>\n\t<meta name=\"twitter:label2\" content=\"\uc608\uc0c1 \ub418\ub294 \ud310\ub3c5 \uc2dc\uac04\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/silvaco.com\\\/ko\\\/simulation-standard-ko\\\/the-valdinoci-temperature-dependent-impact-ionization-model-for-silicon\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/silvaco.com\\\/ko\\\/simulation-standard-ko\\\/the-valdinoci-temperature-dependent-impact-ionization-model-for-silicon\\\/\"},\"author\":{\"name\":\"Casey Molver\",\"@id\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/#\\\/schema\\\/person\\\/2763eb741ca5ac04477fdff50ed84c80\"},\"headline\":\"The Valdinoci Temperature Dependent Impact Ionization Model for Silicon\",\"datePublished\":\"2002-08-01T21:07:32+00:00\",\"dateModified\":\"2026-10-15T21:31:21+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/silvaco.com\\\/ko\\\/simulation-standard-ko\\\/the-valdinoci-temperature-dependent-impact-ionization-model-for-silicon\\\/\"},\"wordCount\":167,\"image\":{\"@id\":\"https:\\\/\\\/silvaco.com\\\/ko\\\/simulation-standard-ko\\\/the-valdinoci-temperature-dependent-impact-ionization-model-for-silicon\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/silvaco.com\\\/wp-content\\\/uploads\\\/simulationstandard\\\/simstd_aug_2002_a3.jpg\",\"articleSection\":[\"Simulation Standard\"],\"inLanguage\":\"ko-KR\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/silvaco.com\\\/ko\\\/simulation-standard-ko\\\/the-valdinoci-temperature-dependent-impact-ionization-model-for-silicon\\\/\",\"url\":\"https:\\\/\\\/silvaco.com\\\/ko\\\/simulation-standard-ko\\\/the-valdinoci-temperature-dependent-impact-ionization-model-for-silicon\\\/\",\"name\":\"The Valdinoci Temperature Dependent Impact Ionization Model for Silicon - 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