{"id":41059,"date":"2024-07-26T12:02:04","date_gmt":"2024-07-26T10:02:04","guid":{"rendered":"https:\/\/www.linseis.com\/service-et-assistance\/methodes-danalyse-thermique\/mesure-van-der-pauw\/"},"modified":"2024-12-12T15:24:21","modified_gmt":"2024-12-12T14:24:21","slug":"mesure-van-der-pauw","status":"publish","type":"page","link":"https:\/\/www.linseis.com\/fr\/methodes-danalyse-thermique\/mesure-van-der-pauw\/","title":{"rendered":"Mesure Van-der-Pauw"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"41059\" class=\"elementor elementor-41059 elementor-22670\" data-elementor-post-type=\"page\">\n\t\t\t\t<div class=\"elementor-element elementor-element-a3549cf e-flex e-con-boxed e-con e-parent\" data-id=\"a3549cf\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-ac41c94 elementor-widget elementor-widget-image\" data-id=\"ac41c94\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/\/linseis_scale-top-1.svg\" title=\"\" alt=\"\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-a7b7feb e-con-full e-flex e-con e-child\" data-id=\"a7b7feb\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-6100945 e-con-full e-flex e-con e-child\" data-id=\"6100945\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-cc1182c elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"cc1182c\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;,&quot;_animation_delay&quot;:250}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\"><b>Mesure Van-der-Pauw<\/b><\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-6d91a43 e-con-full e-flex e-con e-child\" data-id=\"6d91a43\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-9413374 elementor-widget elementor-widget-n-carousel\" data-id=\"9413374\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;carousel_items&quot;:[{&quot;slide_title&quot;:&quot;Produkt 1&quot;,&quot;_id&quot;:&quot;d6fbcdb&quot;}],&quot;slides_to_show&quot;:&quot;1&quot;,&quot;slides_to_scroll&quot;:&quot;2&quot;,&quot;autoplay_speed&quot;:2000,&quot;slides_to_show_tablet&quot;:&quot;1&quot;,&quot;slides_to_show_mobile&quot;:&quot;1&quot;,&quot;autoplay&quot;:&quot;yes&quot;,&quot;pause_on_hover&quot;:&quot;yes&quot;,&quot;pause_on_interaction&quot;:&quot;yes&quot;,&quot;infinite&quot;:&quot;yes&quot;,&quot;speed&quot;:500,&quot;offset_sides&quot;:&quot;none&quot;,&quot;image_spacing_custom&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:10,&quot;sizes&quot;:[]},&quot;image_spacing_custom_tablet&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:&quot;&quot;,&quot;sizes&quot;:[]},&quot;image_spacing_custom_mobile&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:&quot;&quot;,&quot;sizes&quot;:[]}}\" data-widget_type=\"nested-carousel.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"e-n-carousel swiper\" role=\"region\" aria-roledescription=\"carousel\" aria-label=\"Carousel\" dir=\"ltr\">\n\t\t\t<div class=\"swiper-wrapper\" aria-live=\"off\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"swiper-slide\" data-slide=\"1\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"1 sur 1\">\n\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-44441f5 e-flex e-con-boxed e-con e-child\" data-id=\"44441f5\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-4103051 elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-image\" data-id=\"4103051\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"800\" height=\"800\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Zeichenflaeche-1-Kopie-88-1024x1024.png\" class=\"attachment-large size-large wp-image-23718\" alt=\"\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Zeichenflaeche-1-Kopie-88-1024x1024.png 1024w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Zeichenflaeche-1-Kopie-88-300x300.png 300w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Zeichenflaeche-1-Kopie-88-150x150.png 150w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Zeichenflaeche-1-Kopie-88-768x768.png 768w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Zeichenflaeche-1-Kopie-88-1536x1536.png 1536w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Zeichenflaeche-1-Kopie-88-2048x2048.png 2048w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b4a6800 elementor-widget elementor-widget-image\" data-id=\"b4a6800\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/\/linseis_scale-bottom-1.svg\" title=\"\" alt=\"\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-7c8d6cc e-flex e-con-boxed e-con e-parent\" data-id=\"7c8d6cc\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-d7b7522 e-flex e-con-boxed e-con e-parent\" data-id=\"d7b7522\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-449b6fd e-con-full e-flex e-con e-child\" data-id=\"449b6fd\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-031217d elementor-invisible elementor-widget elementor-widget-wp-widget-bcn_widget\" data-id=\"031217d\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"wp-widget-bcn_widget.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"breadcrumbs\" vocab=\"https:\/\/schema.org\/\" typeof=\"BreadcrumbList\"><span property=\"itemListElement\" typeof=\"ListItem\"><a property=\"item\" typeof=\"WebPage\" title=\"Aller \u00e0 Linseis.\" href=\"https:\/\/www.linseis.com\/fr\/\" class=\"home\" aria-current=\"page\"><span property=\"name\">Linseis<\/span><\/a><meta property=\"position\" content=\"1\"><\/span><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-ed98f58 e-flex e-con-boxed e-con e-parent\" data-id=\"ed98f58\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-bbc47b3 e-con-full e-flex e-con e-child\" data-id=\"bbc47b3\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-71a1ec4 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"71a1ec4\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;,&quot;_animation_delay&quot;:500}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2>Mesure Van-der-Pauw<\/h2>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-32d9053 elementor-widget elementor-widget-text-editor\" data-id=\"32d9053\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>La m\u00e9thode de mesure Van der Pauw, nomm\u00e9e d&rsquo;apr\u00e8s son inventeur Leo J. van der Pauw, est largement utilis\u00e9e comme mesure en 4 points pour <a href=\"https:\/\/www.linseis.com\/fr\/proprietes\/hall-constant\/\"><strong>d\u00e9terminer la r\u00e9sistance de la feuille et le coefficient de Hall<\/strong><\/a> des mat\u00e9riaux.<\/p><p>En 1958, van der Pauw a r\u00e9solu le probl\u00e8me g\u00e9n\u00e9ral de la distribution du potentiel dans une <a href=\"https:\/\/www.linseis.com\/fr\/votre-industrie\/technologie-des-couches-minces\/\"><strong>couche conductrice mince de forme quelconque<\/strong><\/a> et a ainsi rendu possible la r\u00e9alisation de mesures de Hall et de r\u00e9sistance sur ces <strong>couches<\/strong>.<\/p><p><strong>Cependant, certaines conditions doivent \u00eatre remplies pour que la mesure soit correcte. <\/strong><\/p><ul><li>L&rsquo;\u00e9paisseur <em>t de l&rsquo;<\/em>\u00e9chantillon doit \u00eatre homog\u00e8ne et faible par rapport \u00e0 la distance entre les contacts.<\/li><li>Il doit \u00eatre constitu\u00e9 d&rsquo;une forme continue au sens math\u00e9matique du terme et ne doit donc pas comporter de trous ou d&rsquo;\u00eelots en mat\u00e9riau hautement conducteur.<\/li><li>Les quatre contacts doivent \u00eatre situ\u00e9s sur le bord de l&rsquo;\u00e9chantillon et \u00eatre petits par rapport \u00e0 la surface de l&rsquo;\u00e9chantillon.<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fe4080d elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"fe4080d\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;,&quot;_animation_delay&quot;:500}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<section class=\"container\">\n<div class=\"row\">\n<div class=\"spb_content_element col-sm-12 spb_text_column\">\n<div class=\"spb_wrapper clearfix\">\n<p><img decoding=\"async\" class=\"wp-image-22672 size-full aligncenter\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Van-der-Pauw-method-1.png\" alt=\"\" width=\"484\" height=\"343\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Van-der-Pauw-method-1.png 484w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Van-der-Pauw-method-1-300x213.png 300w\" sizes=\"(max-width: 484px) 100vw, 484px\" \/><\/p>\n<p style=\"text-align: center;\"><em>Fig.\n1) Dispositif exp\u00e9rimental pour la mesure Van-der-Pauw <\/em><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f06a3a0 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"f06a3a0\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;,&quot;_animation_delay&quot;:500}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<section class=\"container\">\n<div class=\"row\">\n<div class=\"spb_content_element col-sm-12 spb_text_column\">\n<div class=\"spb_wrapper clearfix\">\n<p><img decoding=\"async\" class=\"aligncenter wp-image-22679 size-full\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Contacting-of-a-sample-for-the-Van-der-Pauw-measurement-1024x481-1.png\" alt=\"\" width=\"1024\" height=\"481\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Contacting-of-a-sample-for-the-Van-der-Pauw-measurement-1024x481-1.png 1024w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Contacting-of-a-sample-for-the-Van-der-Pauw-measurement-1024x481-1-300x141.png 300w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Contacting-of-a-sample-for-the-Van-der-Pauw-measurement-1024x481-1-768x361.png 768w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p style=\"text-align: center;\"><em>Fig.\n2\na) Mise en contact d&rsquo;un \u00e9chantillon pour la mesure de Van-der-Pauw.\nb) Mise en contact de l&rsquo;\u00e9chantillon sur la puce de mesure TFA, y compris ses dimensions.   <\/em><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-64ed86b elementor-widget elementor-widget-text-editor\" data-id=\"64ed86b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Si toutes les conditions sont remplies, on obtient un \u00e9chantillon pr\u00e9par\u00e9 avec les contacts de bord A, B, C et D, comme le montre la figure.\n2a-b.\nPour calculer la conductivit\u00e9 \u00e9lectrique, il faut mesurer les r\u00e9sistances horizontales et verticales de Van der Pauw <em>R<sub>(ij,kl)<\/sub><\/em>, la mesure de la r\u00e9sistance horizontale s&rsquo;effectuant comme suit :  <\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-63cdf9f elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"63cdf9f\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;,&quot;_animation_delay&quot;:500}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<section class=\"container\">\n<div class=\"row\">\n<div class=\"spb_content_element col-sm-12 spb_text_column\">\n<div class=\"spb_wrapper clearfix\">\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-22686 size-full\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/horizontal-resistance.png\" alt=\"\" width=\"417\" height=\"129\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/horizontal-resistance.png 417w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/horizontal-resistance-300x93.png 300w\" sizes=\"(max-width: 417px) 100vw, 417px\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b0d0537 elementor-widget elementor-widget-text-editor\" data-id=\"b0d0537\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>O\u00f9 <em>V<sub>C<\/sub><\/em> est la tension du contact mesur\u00e9e par rapport \u00e0 la terre et <em>I<sub>AB<\/sub><\/em> est le courant appliqu\u00e9 entre les contacts A et B, commen\u00e7ant en A et se terminant en B. Si les contacts sont chang\u00e9s cycliquement, la r\u00e9sistance verticale de Van der Pauw peut \u00eatre d\u00e9termin\u00e9e.<br \/>Si les r\u00e9sistances horizontale et verticale ont \u00e9t\u00e9 mesur\u00e9es, la r\u00e9sistance de surface ou, si l&rsquo;\u00e9paisseur de la couche est connue, la <a href=\"https:\/\/www.linseis.com\/fr\/proprietes\/resistivite-et-conductivite-electriques\/\"><strong>r\u00e9sistivit\u00e9<\/strong><\/a> peut \u00eatre calcul\u00e9e en r\u00e9solvant num\u00e9riquement la formule de Van der Pauw :<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-771f150 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"771f150\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;,&quot;_animation_delay&quot;:500}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<section class=\"container\">\n<div class=\"row\">\n<div class=\"spb_content_element col-sm-12 spb_text_column\">\n<div class=\"spb_wrapper clearfix\">\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-22693 size-full\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/resistivity-formula-van-der-pauw.png\" alt=\"\" width=\"434\" height=\"147\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/resistivity-formula-van-der-pauw.png 434w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/resistivity-formula-van-der-pauw-300x102.png 300w\" sizes=\"(max-width: 434px) 100vw, 434px\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b4bb58a elementor-widget elementor-widget-text-editor\" data-id=\"b4bb58a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>La <a href=\"https:\/\/www.linseis.com\/fr\/proprietes\/resistivite-et-conductivite-electriques\/\"><strong>conductivit\u00e9 \u00e9lectrique<\/strong><\/a> \u00e9tant l&rsquo;inverse de la r\u00e9sistance sp\u00e9cifique, elle peut \u00eatre calcul\u00e9e selon l&rsquo;\u00e9quation suivante.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-26bec37 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"26bec37\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;,&quot;_animation_delay&quot;:500}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<section class=\"container\">\n<div class=\"row\">\n<div class=\"spb_content_element col-sm-12 spb_text_column\">\n<div class=\"spb_wrapper clearfix\">\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-22700 size-full\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/electrical-conductivity.png\" alt=\"\" width=\"153\" height=\"140\"><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-dba4700 elementor-widget elementor-widget-text-editor\" data-id=\"dba4700\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Pour d\u00e9terminer le <strong>coefficient de Hall<\/strong> de l&rsquo;\u00e9chantillon, un champ magn\u00e9tique externe avec une densit\u00e9 de flux <em><sub>BZ<\/sub><\/em> peut \u00eatre appliqu\u00e9 perpendiculairement \u00e0 la surface de l&rsquo;\u00e9chantillon et la variation de la r\u00e9sistance diagonale de Van der Pauw (voir figure 3), en fonction de l&rsquo;intensit\u00e9 du champ magn\u00e9tique, est mesur\u00e9e.<\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5d4d6e6 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"5d4d6e6\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;,&quot;_animation_delay&quot;:500}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<section class=\"container\">\n<div class=\"row\">\n<div class=\"spb_content_element col-sm-12 spb_text_column\">\n<div class=\"spb_wrapper clearfix\">\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-22707 size-full\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/sample-configuration-Hall-coefficient-measurement-using-Van-der-Pauw-technology.jpg\" alt=\"\" width=\"504\" height=\"452\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/sample-configuration-Hall-coefficient-measurement-using-Van-der-Pauw-technology.jpg 504w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/sample-configuration-Hall-coefficient-measurement-using-Van-der-Pauw-technology-300x269.jpg 300w\" sizes=\"(max-width: 504px) 100vw, 504px\" \/><\/p>\n<p style=\"text-align: center;\"><em>Fig.\n3) Configuration de l&rsquo;\u00e9chantillon pour la mesure du coefficient de Hall \u00e0 l&rsquo;aide de la technologie de mesure Van der Pauw, avec un champ magn\u00e9tique appliqu\u00e9 perpendiculairement \u00e0 la surface de l&rsquo;\u00e9chantillon. <\/em><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f10e311 elementor-widget elementor-widget-text-editor\" data-id=\"f10e311\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Dans ce cas, les \u00e9l\u00e9ments suivants sont valables :<\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b70a4ff elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"b70a4ff\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;,&quot;_animation_delay&quot;:500}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-22714 size-full\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Hall-formula.png\" alt=\"\" width=\"301\" height=\"136\"><\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-90002f5 elementor-widget elementor-widget-text-editor\" data-id=\"90002f5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>tels que<\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ecbdc27 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"ecbdc27\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;,&quot;_animation_delay&quot;:500}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-22721 size-full aligncenter\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Hall-formula-2.png\" alt=\"\" width=\"554\" height=\"112\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Hall-formula-2.png 554w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Hall-formula-2-300x61.png 300w\" sizes=\"(max-width: 554px) 100vw, 554px\" \/><\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a2ae4fb elementor-widget elementor-widget-text-editor\" data-id=\"a2ae4fb\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>avec le coefficient de Hall<sub>AH<\/sub> et la densit\u00e9 de flux magn\u00e9tique <sub>BZ<\/sub>.\nLes effets de d\u00e9calage dans la mesure du courant et de la tension peuvent \u00eatre supprim\u00e9s selon le principe de l&rsquo;inversion du sens de la mesure.\nLes effets de d\u00e9calage provenant de la mesure de l&rsquo;intensit\u00e9 du champ magn\u00e9tique sont supprim\u00e9s en mesurant la tension diagonale <sub>VHall <\/sub>\u00e0 diff\u00e9rentes intensit\u00e9s de champ magn\u00e9tique et en d\u00e9terminant le coefficient de Hall \u00e0 partir de la pente de la tension de Hall en fonction de l&rsquo;intensit\u00e9 du champ magn\u00e9tique.\nLe calcul final est effectu\u00e9 selon l&rsquo;\u00e9quation suivante :   <\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fe61853 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"fe61853\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;,&quot;_animation_delay&quot;:500}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-22728 size-full\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Voltage-Hall-formula-300x123-1.png\" alt=\"\" width=\"300\" height=\"123\"><\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-35b3714 elementor-widget elementor-widget-text-editor\" data-id=\"35b3714\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Si la constante de Hall est mesur\u00e9e \u00e0 l&rsquo;aide de la m\u00e9thode de mesure AC, un champ magn\u00e9tique alternatif est appliqu\u00e9 et la tension de Hall qui en r\u00e9sulte est lue \u00e0 l&rsquo;aide d&rsquo;un amplificateur lock-in.\nIl est ainsi possible de mesurer des mat\u00e9riaux dont la mobilit\u00e9 est particuli\u00e8rement faible, car les tensions de Hall, g\u00e9n\u00e9ralement faibles, ne sont plus superpos\u00e9es par ce que l&rsquo;on appelle les d\u00e9calages d&rsquo;alignement. <\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-8801439 e-flex e-con-boxed e-con e-parent\" data-id=\"8801439\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-4fda86f e-con-full e-flex e-con e-child\" data-id=\"4fda86f\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-a0a9aac e-con-full e-flex e-con e-child\" data-id=\"a0a9aac\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-53ea4ef elementor-widget elementor-widget-text-editor\" data-id=\"53ea4ef\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2>Quelles sont les propri\u00e9t\u00e9s d\u00e9termin\u00e9es ?<\/h2>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d38f832 elementor-widget elementor-widget-text-editor\" data-id=\"d38f832\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>La m\u00e9thode Van-der-Pauw est utilis\u00e9e pour d\u00e9terminer les propri\u00e9t\u00e9s de transport \u00e9lectrique des mat\u00e9riaux (en vrac et en couches minces) comme la conductivit\u00e9 \u00e9lectrique, la r\u00e9sistivit\u00e9, la constante de Hall, la concentration de porteurs de charge et la mobilit\u00e9 des porteurs de charge.<\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Mesure Van-der-Pauw Mesure Van-der-Pauw La m\u00e9thode de mesure Van der Pauw, nomm\u00e9e d&rsquo;apr\u00e8s son inventeur Leo J. van der Pauw, est largement utilis\u00e9e comme mesure en 4 points pour d\u00e9terminer la r\u00e9sistance de la feuille et le coefficient de Hall des mat\u00e9riaux. En 1958, van der Pauw a r\u00e9solu le probl\u00e8me g\u00e9n\u00e9ral de la distribution [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":41027,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"class_list":["post-41059","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.linseis.com\/fr\/wp-json\/wp\/v2\/pages\/41059","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.linseis.com\/fr\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.linseis.com\/fr\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/fr\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/fr\/wp-json\/wp\/v2\/comments?post=41059"}],"version-history":[{"count":0,"href":"https:\/\/www.linseis.com\/fr\/wp-json\/wp\/v2\/pages\/41059\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/fr\/wp-json\/wp\/v2\/pages\/41027"}],"wp:attachment":[{"href":"https:\/\/www.linseis.com\/fr\/wp-json\/wp\/v2\/media?parent=41059"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}