{"id":209364,"date":"2024-03-21T14:07:36","date_gmt":"2024-03-21T14:07:36","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/%e3%82%b3%e3%83%b3%e3%83%97%e3%83%88%e3%83%b3%e5%8a%b9%e6%9e%9c%e3%81%ae%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95\/"},"modified":"2024-05-17T15:11:30","modified_gmt":"2024-05-17T15:11:30","slug":"%e3%82%b3%e3%83%b3%e3%83%97%e3%83%88%e3%83%b3%e5%8a%b9%e6%9e%9c%e3%81%ae%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/ja\/%e3%82%b3%e3%83%b3%e3%83%97%e3%83%88%e3%83%b3%e5%8a%b9%e6%9e%9c%e3%81%ae%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95\/","title":{"rendered":"\u30b3\u30f3\u30d7\u30c8\u30f3\u52b9\u679c\u306e\u5f0f | \u6982\u8981\u3068\u8a08\u7b97\u65b9\u6cd5"},"content":{"rendered":"<p class=\"sidekick\">\u30b3\u30f3\u30d7\u30c8\u30f3\u52b9\u679c\u306e\u5f0f\u306b\u3064\u3044\u3066\u3001\u6ce2\u9577\u5909\u5316\u306e\u8a08\u7b97\u65b9\u6cd5\u3068\u305d\u306e\u7406\u8ad6\u7684\u80cc\u666f\u3092\u8a73\u7d30\u306b\u89e3\u8aac\u3057\u3001\u5177\u4f53\u4f8b\u3092\u7528\u3044\u3066\u7406\u89e3\u3092\u6df1\u3081\u307e\u3059\u3002<\/p>\n<h2>\u30b3\u30f3\u30d7\u30c8\u30f3\u52b9\u679c\u306e\u5f0f | \u6982\u8981\u3068\u8a08\u7b97\u65b9\u6cd5<\/h2>\n<p>\u30b3\u30f3\u30d7\u30c8\u30f3\u52b9\u679c\u306f\u3001X\u7dda\u3084\u30ac\u30f3\u30de\u7dda\u306a\u3069\u306e\u9ad8\u30a8\u30cd\u30eb\u30ae\u30fc\u5149\u5b50\u304c\u7269\u8cea\u3068\u76f8\u4e92\u4f5c\u7528\u3059\u308b\u969b\u306b\u8d77\u3053\u308b\u73fe\u8c61\u3067\u3059\u3002\u3053\u306e\u52b9\u679c\u3092\u901a\u3058\u3066\u3001\u5149\u5b50\u306f\u96fb\u5b50\u3068\u885d\u7a81\u3057\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u904b\u52d5\u91cf\u3092\u4ea4\u63db\u3057\u307e\u3059\u3002\u305d\u306e\u7d50\u679c\u3001\u5149\u5b50\u306e\u6ce2\u9577\u304c\u5909\u5316\u3057\u307e\u3059\u3002\u3053\u306e\u5909\u5316\u3092\u8aac\u660e\u3059\u308b\u306e\u304c\u30b3\u30f3\u30d7\u30c8\u30f3\u52b9\u679c\u306e\u5f0f\u3067\u3059\u3002<\/p>\n<h2>\u30b3\u30f3\u30d7\u30c8\u30f3\u52b9\u679c\u306e\u6982\u8981<\/h2>\n<p>1923\u5e74\u3001\u30a2\u30e1\u30ea\u30ab\u306e\u7269\u7406\u5b66\u8005\u30a2\u30fc\u30b5\u30fc\u30fb\u30b3\u30f3\u30d7\u30c8\u30f3\u304c\u3053\u306e\u52b9\u679c\u3092\u767a\u898b\u3057\u307e\u3057\u305f\u3002\u5149\u304c\u7c92\u5b50\u306e\u3088\u3046\u306b\u632f\u308b\u821e\u3046\u3068\u3044\u3046\u91cf\u5b50\u529b\u5b66\u306e\u6839\u672c\u7684\u306a\u6982\u5ff5\u3092\u793a\u3059\u5b9f\u9a13\u7684\u8a3c\u62e0\u306e\u4e00\u3064\u3067\u3059\u3002\u30b3\u30f3\u30d7\u30c8\u30f3\u52b9\u679c\u306f\u3001\u5149\u5b50\u304c\u96fb\u5b50\u306b\u885d\u7a81\u3059\u308b\u969b\u3001\u305d\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u904b\u52d5\u91cf\u304c\u3069\u306e\u3088\u3046\u306b\u5909\u5316\u3059\u308b\u304b\u3092\u8a18\u8ff0\u3057\u307e\u3059\u3002<\/p>\n<h2>\u30b3\u30f3\u30d7\u30c8\u30f3\u52b9\u679c\u306e\u5f0f<\/h2>\n<p>\u30b3\u30f3\u30d7\u30c8\u30f3\u52b9\u679c\u3092\u6570\u5f0f\u3067\u8868\u3059\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<p>\\[<br \/>\n\\lambda&#8217; &#8211; \\lambda = \\frac{h}{m_ec} (1 &#8211; \\cos{\\theta})<br \/>\n\\]<\/p>\n<p>\u3053\u3053\u3067\u3001<\/p>\n<ul>\n<li>\\(\\lambda\\): \u885d\u7a81\u524d\u306e\u5149\u5b50\u306e\u6ce2\u9577<\/li>\n<li>\\(\\lambda&#8217;\\): \u885d\u7a81\u5f8c\u306e\u5149\u5b50\u306e\u6ce2\u9577<\/li>\n<li>\\(h\\): \u30d7\u30e9\u30f3\u30af\u5b9a\u6570 (\\(6.626 \\times 10^{-34} Js\\))<\/li>\n<li>\\(m_e\\): \u96fb\u5b50\u306e\u8cea\u91cf (\\(9.109 \\times 10^{-31} kg\\))<\/li>\n<li>\\(c\\): \u5149\u901f (\\(3 \\times 10^8 m\/s\\))<\/li>\n<li>\\(\\theta\\): \u6563\u4e71\u89d2<\/li>\n<\/ul>\n<h2>\u8a08\u7b97\u65b9\u6cd5<\/h2>\n<p>\u5b9f\u969b\u306b\u3053\u306e\u5f0f\u3092\u4f7f\u3063\u3066\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u3044\u304f\u3064\u304b\u306e\u30b9\u30c6\u30c3\u30d7\u3092\u8e0f\u3080\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u4ee5\u4e0b\u306b\u305d\u306e\u624b\u9806\u3092\u793a\u3057\u307e\u3059\uff1a<\/p>\n<ol>\n<li>\u5149\u5b50\u7684\u885d\u7a81\u524d\u306e\u6ce2\u9577\\(\\lambda\\)\u3092\u6c42\u3081\u308b\u3002<\/li>\n<li>\u885d\u7a81\u5f8c\u306e\u6ce2\u9577\\(\\lambda&#8217;\\)\u3092\u6c42\u3081\u308b\u3002\u3053\u308c\u306f\u89b3\u6e2c\u30c7\u30fc\u30bf\u3068\u3057\u3066\u4e0e\u3048\u3089\u308c\u308b\u304b\u3001\u4ed6\u306e\u60c5\u5831\u304b\u3089\u5c0e\u51fa\u3055\u308c\u308b\u3053\u3068\u304c\u591a\u3044\u3067\u3059\u3002<\/li>\n<li>\u6563\u4e71\u89d2\\(\\theta\\)\u3092\u8a08\u6e2c\u3059\u308b\u3002\u3053\u308c\u306f\u901a\u5e38\u3001\u5b9f\u9a13\u88c5\u7f6e\u3092\u7528\u3044\u3066\u6e2c\u5b9a\u3055\u308c\u307e\u3059\u3002<\/li>\n<li>\u30d7\u30e9\u30f3\u30af\u5b9a\u6570\\(h\\)\u3001\u96fb\u5b50\u306e\u8cea\u91cf\\(m_e\\)\u3001\u5149\u901f\\(c\\)\u306e\u5b9a\u6570\u5024\u3092\u4f7f\u3063\u3066\u3001\u4e0a\u8a18\u306e\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3002<\/li>\n<li>\u5f0f\u3092\u89e3\u3044\u3066\u6ce2\u9577\u306e\u5909\u5316\u91cf\\(\\Delta \\lambda = \\lambda&#8217; &#8211; \\lambda\\)\u3092\u6c42\u3081\u308b\u3002<\/li>\n<\/ol>\n<h2>\u5177\u4f53\u4f8b<\/h2>\n<p>\u4f8b\u3048\u3070\u3001\u521d\u671f\u306e\u6ce2\u9577\\(\\lambda\\)\u304c0.01 nm\uff08\u30ca\u30ce\u30e1\u30fc\u30c8\u30eb\uff09\u306eX\u7dda\u5149\u5b50\u304c\u96fb\u5b50\u306b\u885d\u7a81\u3057\u3001\u6563\u4e71\u89d2\\(\\theta\\)\u304c90\u5ea6\u3067\u3042\u3063\u305f\u5834\u5408\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n<p>1. \\(\\lambda = 0.01 \\text{ nm} = 1 \\times 10^{-11} \\text{ m}\\)<\/p>\n<p>2. \u30d7\u30e9\u30f3\u30af\u5b9a\u6570\\(h = 6.626 \\times 10^{-34} \\text{ Js}\\)<\/p>\n<p>3. \u96fb\u5b50\u306e\u8cea\u91cf \\(m_e = 9.109 \\times 10^{-31} \\text{ kg}\\)<\/p>\n<p>4. \u5149\u901f \\(c = 3 \\times 10^8 \\text{ m\/s}\\)<\/p>\n<p>5. \u6563\u4e71\u89d2 \\(\\theta = 90^\\circ\\)\u3001\u3057\u305f\u304c\u3063\u3066\u3001 \\(\\cos{\\theta} = 0\\)<\/p>\n<p>\u30b3\u30f3\u30d7\u30c8\u30f3\u52b9\u679c\u306e\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3068\uff1a<\/p>\n<p>\\[<br \/>\n\\lambda&#8217; &#8211; \\lambda = \\frac{h}{m_ec} (1 &#8211; \\cos{\\theta}) = \\frac{6.626 \\times 10^{-34}}{9.109 \\times 10^{-31} \\times 3 \\times 10^8} (1 &#8211; 0) = 2.43 \\times 10^{-12} \\text{ m}<br \/>\n\\]<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6ce2\u9577\u306e\u5909\u5316\u91cf\u306f 2.43 pm\uff08\u30d4\u30b3\u30e1\u30fc\u30c8\u30eb\uff09 \u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2>\u307e\u3068\u3081<\/h2>\n<p>\u30b3\u30f3\u30d7\u30c8\u30f3\u52b9\u679c\u306f\u3001\u5149\u5b50\u3068\u96fb\u5b50\u306e\u76f8\u4e92\u4f5c\u7528\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306e\u91cd\u8981\u306a\u73fe\u8c61\u3067\u3059\u3002\u3053\u306e\u52b9\u679c\u306f\u91cf\u5b50\u529b\u5b66\u306e\u57fa\u672c\u539f\u7406\u3068\u95a2\u9023\u3057\u3066\u304a\u308a\u3001\u73fe\u4ee3\u306e\u7269\u7406\u5b66\u306b\u304a\u3051\u308b\u591a\u304f\u306e\u5fdc\u7528\u306b\u7e4b\u304c\u3063\u3066\u3044\u307e\u3059\u3002\u30b3\u30f3\u30d7\u30c8\u30f3\u52b9\u679c\u306e\u5f0f\u3092\u4f7f\u3063\u3066\u3001\u5149\u306e\u6ce2\u9577\u5909\u5316\u3092\u6b63\u78ba\u306b\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u7269\u8cea\u306e\u69cb\u9020\u3084\u6027\u8cea\u3092\u6df1\u304f\u7406\u89e3\u3059\u308b\u624b\u52a9\u3051\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30b3\u30f3\u30d7\u30c8\u30f3\u52b9\u679c\u306e\u5f0f\u306b\u3064\u3044\u3066\u3001\u6ce2\u9577\u5909\u5316\u306e\u8a08\u7b97\u65b9\u6cd5\u3068\u305d\u306e\u7406\u8ad6\u7684\u80cc\u666f\u3092\u8a73\u7d30\u306b\u89e3\u8aac\u3057\u3001\u5177\u4f53\u4f8b\u3092\u7528\u3044\u3066\u7406\u89e3\u3092\u6df1\u3081\u307e\u3059\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_generate-full-width-content":"","footnotes":""},"categories":[96],"tags":[97],"class_list":["post-209364","post","type-post","status-publish","format-standard","hentry","category-96","tag-97","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- 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