{"id":209365,"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%e6%b3%a2%e9%95%b7%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f-%e8%a7%a3%e8%aa%ac%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%e6%b3%a2%e9%95%b7%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f-%e8%a7%a3%e8%aa%ac%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%e6%b3%a2%e9%95%b7%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f-%e8%a7%a3%e8%aa%ac%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95\/","title":{"rendered":"\u30b3\u30f3\u30d7\u30c8\u30f3\u6ce2\u9577\u306e\u65b9\u7a0b\u5f0f | \u89e3\u8aac\u3068\u8a08\u7b97\u65b9\u6cd5"},"content":{"rendered":"<p class=\"sidekick\">\u30b3\u30f3\u30d7\u30c8\u30f3\u6ce2\u9577\u306e\u65b9\u7a0b\u5f0f\u306e\u89e3\u8aac\u3068\u8a08\u7b97\u65b9\u6cd5\u3092\u8a73\u3057\u304f\u7d39\u4ecb\u3002\u30b3\u30f3\u30d7\u30c8\u30f3\u52b9\u679c\u304b\u3089\u6ce2\u9577\u5909\u5316\u306e\u8a08\u7b97\u624b\u9806\u307e\u3067\u3001\u5177\u4f53\u4f8b\u3092\u7528\u3044\u3066\u5206\u304b\u308a\u3084\u3059\u304f\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<h2>\u30b3\u30f3\u30d7\u30c8\u30f3\u6ce2\u9577\u306e\u65b9\u7a0b\u5f0f | \u89e3\u8aac\u3068\u8a08\u7b97\u65b9\u6cd5<\/h2>\n<p>\u7269\u7406\u5b66\u306e\u4e2d\u306b\u306f\u3001\u7269\u8cea\u3068\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u9593\u306e\u76f8\u4e92\u4f5c\u7528\u3092\u8aac\u660e\u3059\u308b\u591a\u304f\u306e\u91cd\u8981\u306a\u65b9\u7a0b\u5f0f\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u4e2d\u3067\u3082\u3001\u30b3\u30f3\u30d7\u30c8\u30f3\u6ce2\u9577\u306e\u65b9\u7a0b\u5f0f\u306f\u3001\u7269\u8cea\u306e\u6ce2\u52d5\u6027\u3092\u7406\u89e3\u3059\u308b\u4e0a\u3067\u6b20\u304b\u305b\u306a\u3044\u3082\u306e\u3067\u3059\u3002\u3053\u3053\u3067\u306f\u3001\u30b3\u30f3\u30d7\u30c8\u30f3\u6ce2\u9577\u306e\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u3001\u305d\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n<h3>\u30b3\u30f3\u30d7\u30c8\u30f3\u52b9\u679c\u3068\u306f\uff1f<\/h3>\n<p>\u30b3\u30f3\u30d7\u30c8\u30f3\u52b9\u679c\u306f\u3001X\u7dda\u307e\u305f\u306f\u30ac\u30f3\u30de\u7dda\u306e\u3088\u3046\u306a\u9ad8\u30a8\u30cd\u30eb\u30ae\u30fc\u5149\u5b50\u304c\u96fb\u5b50\u306b\u885d\u7a81\u3059\u308b\u969b\u306b\u8d77\u3053\u308b\u73fe\u8c61\u3067\u3059\u3002\u3053\u306e\u885d\u7a81\u306b\u3088\u3063\u3066\u5149\u5b50\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u96fb\u5b50\u306b\u4f1d\u308f\u308a\u3001\u5149\u5b50\u306e\u6ce2\u9577\u304c\u5909\u5316\u3057\u307e\u3059\u3002\u3053\u306e\u73fe\u8c61\u3092\u89e3\u6790\u3059\u308b\u3053\u3068\u3067\u3001\u30b3\u30f3\u30d7\u30c8\u30f3\u6ce2\u9577\u304c\u5c0e\u304b\u308c\u307e\u3059\u3002<\/p>\n<h3>\u30b3\u30f3\u30d7\u30c8\u30f3\u6ce2\u9577\u306e\u65b9\u7a0b\u5f0f<\/h3>\n<p>\u30b3\u30f3\u30d7\u30c8\u30f3\u6ce2\u9577\u306e\u65b9\u7a0b\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p>\\[ \\lambda&#8217; &#8211; \\lambda = \\frac{h}{m_e c} (1 &#8211; \\cos \\theta) \\]<\/p>\n<p>\u3053\u3053\u3067\uff1a<\/p>\n<ul>\n<li>\\(\\lambda\\) \u306f\u521d\u671f\u5149\u5b50\u306e\u6ce2\u9577<\/li>\n<li>\\(\\lambda&#8217;\\) \u306f\u6563\u4e71\u5f8c\u306e\u5149\u5b50\u306e\u6ce2\u9577<\/li>\n<li>\\(h\\) \u306f\u30d7\u30e9\u30f3\u30af\u5b9a\u6570\u3067\u3001\u5024\u306f\u7d04 \\(6.626 \\times 10^{-34} \\, \\text{Js}\\)<\/li>\n<li>\\(m_e\\) \u306f\u96fb\u5b50\u306e\u8cea\u91cf\u3067\u3001\u5024\u306f\u7d04 \\(9.109 \\times 10^{-31} \\, \\text{kg}\\)<\/li>\n<li>\\(c\\) \u306f\u5149\u306e\u901f\u5ea6\u3067\u3001\u7d04 \\(3 \\times 10^8 \\, \\text{m\/s}\\)<\/li>\n<li>\\(\\theta\\) \u306f\u6563\u4e71\u89d2\u5ea6<\/li>\n<\/ul>\n<h3>\u8a08\u7b97\u65b9\u6cd5<\/h3>\n<p>\u3053\u3053\u3067\u306f\u5177\u4f53\u4f8b\u3092\u7528\u3044\u3066\u8a08\u7b97\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u521d\u671f\u306e\u6ce2\u9577 \\(\\lambda\\) \u304c 0.1 nm \u3067\u3001\u6563\u4e71\u89d2\u5ea6 \\(\\theta\\) \u304c 90\u5ea6\u3068\u3059\u308b\u3068\u3001\u6563\u4e71\u5f8c\u306e\u6ce2\u9577 \\(\\lambda&#8217;\\) \u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n<ol>\n<li>\u307e\u305a\u3001\\(\\frac{h}{m_e c}\\) \u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/li>\n<\/ol>\n<p>\\[<br \/>\n\\frac{h}{m_e c} = \\frac{6.626 \\times 10^{-34} \\, \\text{Js}}{(9.109 \\times 10^{-31} \\, \\text{kg}) (3 \\times 10^8 \\, \\text{m\/s})}<br \/>\n\\]<\/p>\n<p>\\[<br \/>\n\\approx 2.43 \\times 10^{-12} \\, \\text{m} = 2.43 \\, \\text{pm}<br \/>\n\\]<\/p>\n<ol start=\"2\">\n<li>\u6b21\u306b\u3001\\(\\lambda &#8211; \\lambda&#8217; = 2.43 \\, \\text{pm} \\times (1 &#8211; \\cos 90^\\circ)\\)\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/li>\n<\/ol>\n<p>\\[<br \/>\n\\Delta \\lambda = 2.43 \\, \\text{pm} \\times (1 &#8211; \\cos 90^\\circ) \\approx 2.43 \\, \\text{pm}<br \/>\n\\]<\/p>\n<ol start=\"3\">\n<li>\u6700\u5f8c\u306b\u3001\u6563\u4e71\u5f8c\u306e\u6ce2\u9577 \\(\\lambda&#8217;\\) \u3092\u6c42\u3081\u307e\u3059\u3002<\/li>\n<\/ol>\n<p>\\[<br \/>\n\\lambda&#8217; = \\lambda + \\Delta \\lambda = 0.1 \\, \\text{nm} + 2.43 \\, \\text{pm}<br \/>\n\\]<\/p>\n<p>\u3053\u3053\u3067\u30011 nm = 1000 pm \u3067\u3059\u306e\u3067\u3001\\(\\lambda&#8217; = 100 \\, \\text{pm} + 2.43 \\, \\text{pm} = 102.43 \\, \\text{pm}\\)<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6563\u4e71\u5f8c\u306e\u6ce2\u9577 \\(\\lambda&#8217;\\) \u306f\u7d04 0.10243 nm 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