{"id":5710,"date":"2025-04-09T07:24:37","date_gmt":"2025-04-09T05:24:37","guid":{"rendered":"https:\/\/www.zsvltava.cz\/fyzika\/?p=5710"},"modified":"2025-04-15T12:13:47","modified_gmt":"2025-04-15T10:13:47","slug":"fotoelektricky-jev","status":"publish","type":"post","link":"https:\/\/www.zsvltava.cz\/fyzika\/?p=5710","title":{"rendered":"Fotoelektrick\u00fd jev"},"content":{"rendered":"<p><strong>Fotoelektrick\u00fd jev je d\u011bj, p\u0159i kter\u00e9m sv\u011btlo dopadne na kov a zp\u016fsob\u00ed, \u017ee z n\u011bj vysko\u010d\u00ed elektrony. Tyto elektrony pak m\u016f\u017eeme zachytit a pou\u017e\u00edt nap\u0159\u00edklad k v\u00fdrob\u011b elekt\u0159iny.<\/strong><\/p>\n<p>Elektrony tvo\u0159\u00ed ned\u00edlnou sou\u010d\u00e1st atom\u016f. V kovech se pohybuj\u00ed voln\u011b, a proto m\u016f\u017ee sv\u011btlo \u2013 pokud m\u00e1 dostatek energie \u2013 tyto elektrony \u201evyst\u0159elit\u201c ven.<\/p>\n<h2>Jak to funguje?<\/h2>\n<ol>\n<li>Sv\u011btlo je vlastn\u011b proud foton\u016f \u2013 mal\u00fdch bal\u00ed\u010dk\u016f energie.<\/li>\n<li>Kdy\u017e foton naraz\u00ed na povrch kovu, p\u0159ed\u00e1 svou energii elektronu.<\/li>\n<li>Pokud je energie dostate\u010dn\u011b siln\u00e1, elektron se uvoln\u00ed z kovu a odlet\u00ed pry\u010d.<\/li>\n<li>Tento elektron m\u016f\u017eeme zachytit \u2013 nap\u0159\u00edklad v obvodu \u2013 a vyu\u017e\u00edt.<\/li>\n<\/ol>\n<p>Tohle chov\u00e1n\u00ed sv\u011btla pomohlo v\u011bdc\u016fm pochopit, \u017ee sv\u011btlo nen\u00ed jen vln\u011bn\u00ed, ale chov\u00e1 se tak\u00e9 jako \u010d\u00e1stice (foton).<\/p>\n<h2>Z\u00e1hadn\u00e9 chov\u00e1n\u00ed<\/h2>\n<p>Fotoelektrick\u00fd jev byl dlouho z\u00e1hadou. Kdy\u017e v\u011bdci na kov sv\u00edtili siln\u011bj\u0161\u00edm sv\u011btlem, ale s n\u00edzkou energi\u00ed (nap\u0159. \u010derven\u00e9 sv\u011btlo), elektrony nevyskakovaly. Ale kdy\u017e pou\u017eili sv\u011btlo s vy\u0161\u0161\u00ed energi\u00ed (nap\u0159. fialov\u00e9 nebo ultrafialov\u00e9), elektrony vysko\u010dily hned \u2013 i p\u0159i slab\u00e9m sv\u011btle.<\/p>\n<p>Tento jev spr\u00e1vn\u011b vysv\u011btlil a\u017e <a href=\"\/fyzika\/?p=5346\">Albert Einstein<\/a>. Uk\u00e1zal, \u017ee rozhoduj\u00edc\u00ed nen\u00ed s\u00edla sv\u011btla, ale energie fotonu. Za toto vysv\u011btlen\u00ed dostal v roce 1921 Nobelovu cenu za fyziku \u2013 a ne za teorii relativity, jak si mnoho lid\u00ed mysl\u00ed!<\/p>\n<h2>Kde se fotoelektrick\u00fd jev vyu\u017e\u00edv\u00e1?<\/h2>\n<ul>\n<li>Sol\u00e1rn\u00ed panely \u2013 m\u011bn\u00ed slune\u010dn\u00ed sv\u011btlo na elekt\u0159inu.<\/li>\n<li>Fotobu\u0148ky \u2013 otev\u00edraj\u00ed dve\u0159e v obchodech nebo sp\u00ednaj\u00ed sv\u011btlo.<\/li>\n<li>Detektory sv\u011btla \u2013 v mobiln\u00edch telefonech nebo automatick\u00e9m osv\u011btlen\u00ed.<\/li>\n<li>Astronomie \u2013 v\u011bdci pou\u017e\u00edvaj\u00ed fotoelektrick\u00e9 jevy k m\u011b\u0159en\u00ed sv\u011btla hv\u011bzd.<\/li>\n<\/ul>\n<h2>Fotoelektrick\u00fd jev &#8211; shrnut\u00ed<\/h2>\n<p><strong>Ka\u017ed\u00fd kov pot\u0159ebuje jinou \u201eenergii sv\u011btla\u201c (jinou vlnovou d\u00e9lku), aby z n\u011bj mohl b\u00fdt elektron uvoln\u011bn. Modr\u00e9 a fialov\u00e9 sv\u011btlo maj\u00ed v\u011bt\u0161\u00ed energii ne\u017e \u010derven\u00e9. Proto m\u016f\u017ee modr\u00e9 sv\u011btlo zp\u016fsobit fotoelektrick\u00fd jev, zat\u00edmco \u010derven\u00e9 \u010dasto ne. D\u00edky tomuto jevu v\u00edme, \u017ee sv\u011btlo nen\u00ed jen vlna, ale m\u00e1 i \u010d\u00e1sticovou povahu.<\/strong><\/p>\n<h2>Matematika fotoelektrick\u00e9ho jevu<\/h2>\n<p>I kdy\u017e to zn\u00ed slo\u017eit\u011b, matematika fotoelektrick\u00e9ho jevu je vlastn\u011b velmi elegantn\u00ed. Pom\u00e1h\u00e1 n\u00e1m vypo\u010d\u00edtat, kolik energie m\u00e1 foton a co se s touto energi\u00ed stane, kdy\u017e dopadne na kov.<\/p>\n<h3>Z\u00e1kladn\u00ed rovnice (Einsteinova rovnice)<\/h3>\n<p>Einstein popsal fotoelektrick\u00fd jev pomoc\u00ed jednoduch\u00e9ho vzorce:<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 19px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/ql-cache\/quicklatex.com-9eec344333e9d337770290e19d11622a_l3.png\" height=\"19\" width=\"71\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91; &#69;&#95;&#102;&#61;&#104;&#8901;&#102; &#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<p>a z\u00e1rove\u0148:<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 19px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/ql-cache\/quicklatex.com-4ae0ee37f82a8ed848dfd1b5ce9c8d47_l3.png\" height=\"19\" width=\"114\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91; &#69;&#95;&#102;&#32;&#61;&#32;&#87;&#32;&#43;&#32;&#69;&#95;&#107; &#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<ul>\n<li>E<sub>f<\/sub> &#8211; energie fotonu (\u010d\u00e1stice sv\u011btla),<\/li>\n<li>\u210e &#8211; Planckova konstanta (mal\u00e9 \u010d\u00edslo, kter\u00e9 ur\u010duje velikost fotonov\u00e9 energie),<\/li>\n<li>\ud835\udc53- je frekvence sv\u011btla (\u010d\u00edm vy\u0161\u0161\u00ed frekvence, t\u00edm \u201eenergi\u010dt\u011bj\u0161\u00ed\u201c sv\u011btlo \u2013 nap\u0159. fialov\u00e9),<\/li>\n<li>\ud835\udc4a &#8211; v\u00fdstupn\u00ed pr\u00e1ce \u2013 energie pot\u0159ebn\u00e1 k uvoln\u011bn\u00ed elektronu z kovu,<\/li>\n<li>E<sub>k<\/sub> &#8211; kinetick\u00e1 energie elektronu, tedy kolik energie mu \u201ezbyde\u201c na pohyb pot\u00e9, co vysko\u010d\u00ed z kovu.<\/li>\n<\/ul>\n<h3>P\u0159\u00edklad pro p\u0159edstavu<\/h3>\n<p>P\u0159edstav si, \u017ee foton je jako kopanec do m\u00ed\u010de (elektronu):<\/p>\n<p>&#8211; N\u011bkter\u00e9 m\u00ed\u010de (elektrony) jsou t\u011b\u017e\u0161\u00ed a jsou p\u0159ilepen\u00e9 (v kovu pevn\u011bji dr\u017e\u00ed).<br \/>\n&#8211; Aby ses jich zbavil, mus\u00ed\u0161 kopnout dost siln\u011b (foton s dostate\u010dnou energi\u00ed).<br \/>\n&#8211; Kdy\u017e kopne\u0161 m\u00e1lo (\u010derven\u00fdm sv\u011btlem), m\u00ed\u010d se ani nepohne.<br \/>\n&#8211; Kdy\u017e kopne\u0161 dost siln\u011b (modr\u00fdm nebo fialov\u00fdm sv\u011btlem), m\u00ed\u010d odlet\u00ed \u2013 a \u010d\u00edm siln\u011bj\u0161\u00ed kop, t\u00edm rychleji!<\/p>\n<h3>Zjednodu\u0161en\u00e9 shrnut\u00ed:<\/h3>\n<p>&#8211; Siln\u00fd foton (vysok\u00e1 frekvence) = schopn\u00fd uvolnit elektron.<br \/>\n&#8211; Slab\u00fd foton (n\u00edzk\u00e1 frekvence) = nesta\u010d\u00ed, ani kdy\u017e je jich hodn\u011b.<br \/>\n&#8211; Zbytek energie po uvoln\u011bn\u00ed se m\u011bn\u00ed na pohyb elektronu.<\/p>\n<h2>Simulace online<\/h2>\n<p><a href=\"https:\/\/javalab.org\/en\/photoelectric_effect_en\/\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/uploads\/2025\/04\/photelectricjv.png\" alt=\"\" width=\"1260\" height=\"686\" class=\"aligncenter size-full wp-image-5822\" srcset=\"https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/uploads\/2025\/04\/photelectricjv.png 1260w, https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/uploads\/2025\/04\/photelectricjv-300x163.png 300w, https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/uploads\/2025\/04\/photelectricjv-1024x558.png 1024w, https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/uploads\/2025\/04\/photelectricjv-768x418.png 768w\" sizes=\"auto, (max-width: 1260px) 100vw, 1260px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Fotoelektrick\u00fd jev je d\u011bj, p\u0159i kter\u00e9m sv\u011btlo dopadne na kov a zp\u016fsob\u00ed, \u017ee z n\u011bj vysko\u010d\u00ed elektrony. Tyto elektrony pak m\u016f\u017eeme zachytit a pou\u017e\u00edt nap\u0159\u00edklad &#8230;. <\/p>\n","protected":false},"author":1,"featured_media":5717,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[76],"tags":[67,85],"class_list":["post-5710","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-atomy-a-zareni","tag-historie","tag-interaktivni-model"],"_links":{"self":[{"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/posts\/5710","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5710"}],"version-history":[{"count":0,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/posts\/5710\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/media\/5717"}],"wp:attachment":[{"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5710"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5710"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5710"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}