{"id":455,"date":"2023-06-17T07:41:59","date_gmt":"2023-06-17T07:41:59","guid":{"rendered":"https:\/\/physigeek.com\/nl\/brekingsindex\/"},"modified":"2023-06-17T07:41:59","modified_gmt":"2023-06-17T07:41:59","slug":"brekingsindex","status":"publish","type":"post","link":"https:\/\/physigeek.com\/nl\/brekingsindex\/","title":{"rendered":"Brekingsindex"},"content":{"rendered":"<p>In dit artikel wordt uitgelegd wat de brekingsindex in de natuurkunde is. Zo vind je de definitie van de brekingsindex, hoe je de brekingsindex berekent en daarnaast een tabel met de waarden van de brekingsindexen van de verschillende materialen. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-indice-de-refraccion\"><\/span> Wat is brekingsindex?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> De <strong>brekingsindex<\/strong> van een medium is een co\u00ebffici\u00ebnt die aangeeft hoeveel de snelheid van het licht (of andere golven) wordt verminderd ten opzichte van het vacu\u00fcm in het medium. De brekingsindex wordt ook gebruikt om de mate te bepalen waarin het lichtpad wordt afgebogen of gebroken wanneer het van het ene medium naar het andere gaat.<\/p>\n<p> Op dezelfde manier stelt de brekingsindex ons in staat de verandering in golflengte te berekenen wanneer een golf een ander medium binnengaat, omdat de kenmerken van het medium waardoor een golf zich voortplant niet alleen de snelheid ervan be\u00efnvloeden, maar ook de atmosfeer.<\/p>\n<p> De frequentie van een golf wordt echter niet veranderd door het medium waarin deze zich voortplant. De brekingsindex bepaalt dus de snelheid en lengte van de golf, maar niet de frequentie ervan.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-del-indice-de-refraccion\"><\/span> Brekingsindexformule<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> De brekingsindex wordt gedefinieerd als het quoti\u00ebnt tussen de lichtsnelheid in een vacu\u00fcm (c = 3,10 <sup>8<\/sup> m\/s) en de lichtsnelheid in het medium (v). Om de brekingsindex te berekenen, moet je daarom de lichtsnelheid in een vacu\u00fcm delen door de lichtsnelheid in het medium (n=c\/v).<\/p>\n<p> De <strong>formule voor het berekenen van de brekingsindex<\/strong> is daarom als volgt:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-3272ab4bb86af78aa312738841e2663f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n=\\cfrac{c}{v}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"46\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Goud: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> is de brekingsindex van het medium. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-276a76eafbebc4494deafceec7cc4ddd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> is de snelheid van het licht in een vacu\u00fcm (3,10 <sup>8<\/sup> m\/s). <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-796872219106704832bd95ce08640b7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> is de lichtsnelheid in het medium waarin de brekingsindex wordt berekend.<\/span><\/li>\n<\/ul>\n<p> Op dezelfde manier kan de brekingsindex van een medium ook worden bepaald door de vierkantswortel van het product te berekenen tussen de relatieve permittiviteit van het materiaal en de relatieve elektromagnetische permeabiliteit:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-36cde3d0a7da81363ce37b0d21e7f614_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n=\\sqrt{\\epsilon_r\\cdot \\mu_r}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"95\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Goud: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> is de brekingsindex van het medium. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-0dd66f7ec870823a7b3bda176c79b765_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\epsilon_r\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"13\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de relatieve di\u00eblektrische constante van het materiaal. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-ec23adbe53e526a8cd793f23e0960d75_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_r\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p> relatieve elektromagnetische permeabiliteit. <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Tabla-de-valores-del-indice-de-refraccion\"><\/span> Tabel met brekingsindexwaarden<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> In de volgende tabel kunt u de brekingsindexwaarden van verschillende media zien:<\/p>\n<figure class=\"wp-block-table aligncenter is-style-stripes\">\n<table>\n<thead>\n<tr>\n<th> Materiaal<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> Brekingsindex<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td> Leeg<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1<\/td>\n<\/tr>\n<tr>\n<td> Lucht (0 \u00baC en 1 bar)<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1 0002926<\/td>\n<\/tr>\n<tr>\n<td> Methanol (20\u00baC)<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1.329<\/td>\n<\/tr>\n<tr>\n<td> Water<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1,3330<\/td>\n<\/tr>\n<tr>\n<td> Aceetaldehyde<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1.35<\/td>\n<\/tr>\n<tr>\n<td> Suikeroplossing (30%)<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1,38<\/td>\n<\/tr>\n<tr>\n<td> 1-butanol (20\u00baC)<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1.399<\/td>\n<\/tr>\n<tr>\n<td> Heptanol (25\u00baC)<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1.423<\/td>\n<\/tr>\n<tr>\n<td> Glas<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1.45<\/td>\n<\/tr>\n<tr>\n<td> glycerine<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1.473<\/td>\n<\/tr>\n<tr>\n<td> Benzeen (20\u00baC)<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1.501<\/td>\n<\/tr>\n<tr>\n<td> Suikeroplossing (80%)<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1,52<\/td>\n<\/tr>\n<tr>\n<td> Kwarts<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1.544<\/td>\n<\/tr>\n<tr>\n<td> Natriumchloride<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1.544<\/td>\n<\/tr>\n<tr>\n<td> Koolstofdisulfide<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1,6295<\/td>\n<\/tr>\n<tr>\n<td> diamant<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 2.42 <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"El-indice-de-refraccion-y-la-ley-de-Snell\"><\/span> De brekingsindex en de wet van Snell<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>De wet van Snell<\/strong> is een natuurkundige wet die de brekingsindex van twee verschillende media relateert aan de invalshoek en de brekingshoek. De wet van Snell wordt dus gebruikt om de brekingshoek van licht te berekenen bij het passeren van een oppervlak dat twee media met een verschillende brekingsindex scheidt.<\/p>\n<p> De formule voor de wet van Snellius is:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-8a1f4d5f2f8822bea42090853efba478_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1\\cdot \\text{sin}(\\theta_1)=n_2\\cdot \\text{sin}(\\theta_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"188\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Goud: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-cebc0a013985f2695aeb53ded9e7afb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de brekingsindex van het medium waarop licht valt. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-7919ba3460fc884772bb5c3cc9ad1a8d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\theta_1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"14\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de hoek gevormd door de lichtstraal met de normaal van het medium waarop het licht valt. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bf1e42c248eee22a0911c24c95fe28f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de brekingsindex van het medium waarin licht wordt gebroken. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-462ac736d8fb9984136e11039f9a0da4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\theta_2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de hoek gevormd door de lichtstraal met de normaal van het medium waarin het licht wordt gebroken. <\/span><\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/loi-de-snell.png\" alt=\"Wet van Snellius, brekingsindex\" class=\"wp-image-9140\" width=\"314\" height=\"430\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/loi-de-snell-219x300.png 219w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/loi-de-snell.png 733w\" sizes=\"auto, (max-width: 219px) 100vw, 219px\"><\/figure>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Zie:<\/strong> <a href=\"https:\/\/physigeek.com\/nl\/snells-wet\/\">de wet van Snell<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"El-indice-de-refraccion-y-la-reflexion-interna-total\"><\/span> Brekingsindex en totale interne reflectie<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> In de natuurkunde is de <strong>kritische hoek (of grenshoek)<\/strong> de hoek die wordt verkregen door het berekenen van het omgekeerde van de sinus van het quoti\u00ebnt tussen de brekingsindex van het medium waarin de lichtstraal valt en de brekingsindex van het medium waarin deze wordt gebroken. . .de lichtstraal<\/p>\n<p> De formule voor de kritische hoek is dus als volgt: <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-d578646ea492b5cd851e7eba3578044f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sin}(\\theta_c)=\\cfrac{n_2}{n_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"95\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-61c0e88486e5cad80d5109d1f67c31e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\theta_c=\\text{arcsen}\\left(\\frac{n_2}{n_1}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"135\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Goud: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-ec1ef70052f126c1e3f54bfcb4e7ac25_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\theta_c\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"14\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de kritische hoek. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-cebc0a013985f2695aeb53ded9e7afb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de brekingsindex van het medium waarin licht valt. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bf1e42c248eee22a0911c24c95fe28f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de brekingsindex van het medium waarin licht wordt gebroken.<\/span><\/li>\n<\/ul>\n<p> Wanneer de invalshoek <sub>\u03b81<\/sub> groter is dan de kritische hoek, wordt de lichtstraal dus volledig gereflecteerd in het medium waarop hij valt. Met andere woorden, als de invalshoek <sub>\u03b81<\/sub> groter is dan de kritische hoek, wordt het licht niet gebroken maar eerder gereflecteerd en blijft het daarom, in plaats van in het andere medium terecht te komen, in dezelfde omgeving. <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/reflexion-interne-totale.png\" alt=\"totale interne reflectie\" class=\"wp-image-9154\" width=\"515\" height=\"314\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/reflexion-interne-totale-300x184.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/reflexion-interne-totale-768x472.png 768w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/reflexion-interne-totale.png 807w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p> Dit natuurkundige fenomeen wordt <strong>totale interne reflectie<\/strong> genoemd en treedt op wanneer de invalshoek van de lichtstraal groter is dan de kritische hoek, waarmee je kunt berekenen<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In dit artikel wordt uitgelegd wat de brekingsindex in de natuurkunde is. Zo vind je de definitie van de brekingsindex, hoe je de brekingsindex berekent en daarnaast een tabel met de waarden van de brekingsindexen van de verschillende materialen. Wat is brekingsindex? De brekingsindex van een medium is een co\u00ebffici\u00ebnt die aangeeft hoeveel de snelheid &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/nl\/brekingsindex\/\"> <span class=\"screen-reader-text\">Brekingsindex<\/span> Weiterlesen &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[13],"tags":[],"class_list":["post-455","post","type-post","status-publish","format-standard","hentry","category-optisch"],"yoast_head":"<!-- This site is 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