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class=\"wp-caption-text\">\u4f4d\u65bc\u6cd5\u570b\u5357\u90e8\u7684\u5967\u6717\u65e5\u53e4\u7f85\u99ac\u5287\u5834\u907a\u5740(\u5716\u50cf\u4f86\u6e90\uff1a\u7dad\u57fa\u767e\u79d1)<\/figcaption><\/figure>\n<p>\u5982\u679c\u9078\u64c7\u9760\u8fd1\u821e\u53f0\u7684\u4f4d\u5b50\uff0c\u4ed6\u7684\u4f4d\u80fd\u81ea\u7136\u6bd4\u8f03\u4f4e\uff0c\u53cd\u4e4b\u5750\u5f97\u8d8a\u9ad8\uff0c\u4f4d\u80fd\u5c31\u8d8a\u5927\u3002\u7531\u65bc\u5169\u968e\u4e4b\u9593\u6c92\u6709\u4efb\u4f55\u5ea7\u4f4d\uff0c\u968e\u68af\u7684\u7de8\u865f\u525b\u597d\u53ef\u4ee5\u63cf\u8ff0\u4f4d\u80fd\u7684\u5927\u5c0f\uff0c\u800c\u9019\u4e9b\u4f4d\u80fd\u7576\u7136\u662f\u4e0d\u9023\u7e8c\u7684\u3002<\/p>\n<p>\u81f3\u65bc\u5728\u6c2b\u539f\u5b50\u4e2d\uff0c\u96fb\u5b50\u7684\u7e3d\u80fd\u91cf\u662f\u4ee5\u300c\u91cf\u5b50\u6578\u300d\u4f86\u7de8\u865f(n=1,2,3...)\uff0c\u5b83\u548c\u5713\u5f62\u5287\u5834\u7684\u968e\u68af\u5728\u6982\u5ff5\u4e0a\u975e\u5e38\u985e\u4f3c\uff0c\u56e0\u6b64\u901a\u5e38\u7a31\u70ba\u6c2b\u539f\u5b50\u7684\u300c\u80fd\u968e\u300d\u3002<\/p>\n<p>\u524d\u9762\u8aaa\u904e\uff0c\u65e2\u7136\u6574\u500b\u5287\u5834\u53ea\u6709\u4e00\u540d\u89c0\u773e\uff0c\u4ed6\u53ef\u4ee5\u96a8\u610f\u9078\u64c7\u81ea\u5df1\u7684\u5ea7\u4f4d\u3002\u540c\u7406\uff0c\u6c2b\u539f\u5b50\u4e2d\u7684\u90a3\u500b\u96fb\u5b50\u53ef\u4ee5\u5f85\u5728\u4efb\u4f55\u4e00\u500b\u80fd\u968e\u3002\u80fd\u968e\u8d8a\u9ad8\uff0c\u91cf\u5b50\u6578\u5c31\u8d8a\u5927\uff0c\u96fb\u5b50\u8ddd\u96e2\u539f\u5b50\u6838\u4e5f\u5c31\u8d8a\u9060\u3002<\/p>\n<p>\u7531\u65bc\u6bcf\u500b\u80fd\u968e\u7684\u80fd\u91cf\u90fd\u4e0d\u4e00\u6a23\uff0c\u96fb\u5b50\u82e5\u60f3\u63db\u5230\u53e6\u4e00\u500b\u80fd\u968e\uff0c\u4e00\u5b9a\u6703\u4f34\u96a8\u80fd\u91cf\u7684\u8f49\u79fb\u3002\u5982\u679c\u662f\u964d\u7d1a\uff0c\u96fb\u5b50\u6703\u653e\u51fa\u82e5\u5e72\u80fd\u91cf\uff1b\u5982\u679c\u662f\u5347\u7d1a\uff0c\u7576\u7136\u9700\u8981\u5148\u7372\u5f97\u80fd\u91cf\u3002\u5c0d\u65bc\u539f\u5b50\u4e2d\u7684\u96fb\u5b50\u800c\u8a00\uff0c\u5b83\u53ea\u80fd\u91cb\u653e\u6216\u5438\u6536\u96fb\u78c1\u6ce2\u7684\u80fd\u91cf\uff0c\u5176\u4ed6\u7684\u80fd\u91cf\u90fd\u656c\u8b1d\u4e0d\u654f\u3002\u4e0d\u904e\u65e2\u7136\u9019\u662f\u91cf\u5b50\u7269\u7406\uff0c\u4f60\u4e0d\u59a8\u5728\u5fc3\u4e2d\u5c07\u4e0a\u8ff0\u7684\u300c\u96fb\u78c1\u6ce2\u300d\u4ee3\u63db\u6210\u300c\u5149\u5b50\u300d\u3002<\/p>\n<figure id=\"attachment_29777\" aria-describedby=\"caption-attachment-29777\" style=\"width: 500px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"wp-image-29777\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2017\/10\/44-2.png\" alt=\"\" width=\"500\" height=\"436\" srcset=\"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2017\/10\/44-2.png 1000w, https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2017\/10\/44-2-800x697.png 800w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><figcaption id=\"caption-attachment-29777\" class=\"wp-caption-text\">\u6c2b\u539f\u5b50\u7684\u96fb\u5b50\u5f9e\u7b2c\u4e09\u968e\u964d\u81f3\u7b2c\u4e8c\u968e\u793a\u610f\u5716(\u5716\u50cf\u4f86\u6e90\uff1a\u7dad\u57fa\u767e\u79d1)<\/figcaption><\/figure>\n<p>\u8b1b\u5230\u9019\u88e1\uff0c\u7d42\u65bc\u53ef\u4ee5\u548c\u5be6\u9a57\u626f\u4e0a\u95dc\u4fc2\u4e86\u3002<\/p>\n<p>\u6c2b\u539f\u5b50\u662f\u6a19\u6e96\u7684\u5fae\u89c0\u7cfb\u7d71\uff0c\u4f46\u5982\u679c\u6709\u8a31\u591a\u6c2b\u539f\u5b50(\u4f8b\u5982\u4e00\u83ab\u8033)\u540c\u6642\u5438\u6536\u6216\u91cb\u653e\u96fb\u78c1\u6ce2\uff0c\u4fbf\u6703\u7522\u751f\u5f88\u660e\u986f\u7684\u5de8\u89c0\u6548\u61c9\u3002\u7814\u7a76\u9019\u7a2e\u5de8\u89c0\u6548\u61c9\u7684\u5b78\u554f\uff0c\u901a\u7a31\u70ba\u300c\u5149\u8b5c\u5b78\u300d\u3002<\/p>\n<p>\u4e00\u63d0\u5230\u5149\u8b5c\u5b78\uff0c\u6216\u8a31\u4f60\u5c31\u6703\u806f\u60f3\u5230\u300c\u5438\u6536\u5149\u8b5c\u300d\u548c\u300c\u767c\u5c04\u5149\u8b5c\u300d\u3002\u8acb\u6ce8\u610f\uff0c\u5728\u6b64\u7684\u300c\u5438\u6536\u300d\u548c\u300c\u767c\u5c04\u300d\u90fd\u662f\u6307\u4e0a\u8ff0\u7684\u96fb\u78c1\u6ce2\uff0c\u56e0\u6b64\u5438\u6536\u5149\u8b5c\u5c31\u662f\u96fb\u5b50\u5347\u7d1a\u7684\u8b49\u64da\uff0c\u53cd\u4e4b\u767c\u5c04\u5149\u8b5c\u5247\u5c0d\u61c9\u65bc\u96fb\u5b50\u964d\u7d1a\u3002<\/p>\n<p>\u5728\u5149\u8b5c\u5b78\u4e2d\uff0c\u6c2b\u539f\u5b50\u7684\u767c\u5c04\u5149\u8b5c\u53ef\u7d30\u5206\u70ba\u5e7e\u500b\u7cfb\u5217\uff0c\u5404\u7cfb\u5217\u90fd\u5305\u542b\u7121\u6578\u689d\u96e2\u6563\u7684\u300c\u4eae\u7dda\u300d\uff0c\u537b\u6c92\u6709\u4efb\u4f55\u9023\u7e8c\u7684\u300c\u4eae\u5e36\u300d\u3002\u56e0\u6b64\u6211\u5011\u53ef\u4ee5\u8aaa\uff0c\u9019\u500b\u5149\u8b5c\u5c31\u662f\u6c2b\u539f\u5b50\u5177\u6709\u96e2\u6563\u80fd\u968e\u7684\u5b9a\u6027\u8b49\u64da\u3002<\/p>\n<p>\u4f9d\u7167\u6163\u4f8b\uff0c\u9019\u4e9b\u7cfb\u5217\u90fd\u4ee5\u4eba\u540d\u4f86\u547d\u540d\uff0c\u4f8b\u5982\u4f86\u66fc\u7cfb\u5217(Lyman series)\u5c0d\u61c9\u65bc\u96fb\u5b50\u5f9e\u67d0\u500b\u8f03\u9ad8\u7684\u80fd\u968e\u964d\u7d1a\u5230\u6700\u4f4e\u968e(n=1)\uff1b\u5df4\u8033\u672b\u7cfb\u5217(Balmer series)\u5c0d\u61c9\u65bc\u964d\u5230\u7b2c\u4e8c\u968e\u3002\u6b64\u5916\u9084\u6709\u5e15\u7533\u7cfb\u5217\u3001\u5e03\u62c9\u683c\u7cfb\u5217\u3001\u84b2\u82ac\u5fb7\u7cfb\u5217\u4ee5\u53ca\u97d3\u798f\u745e\u7cfb\u5217\uff0c\u5206\u5225\u5c0d\u61c9\u65bc\u96fb\u5b50\u5f9e\u9ad8\u80fd\u968e\u964d\u5230\u7b2c\u4e09\u3001\u56db\u3001\u4e94\u3001\u516d\u968e\u3002<\/p>\n<p>\u4f86\u66fc\u7cfb\u5217\u7684\u8b5c\u7dda\u5168\u90e8\u662f\u7d2b\u5916\u7dda\uff0c\u5df4\u8033\u672b\u7cfb\u5217\u7684\u8b5c\u7dda\u5305\u62ec\u53ef\u898b\u5149\u548c\u7d2b\u5916\u7dda\u5169\u8005\uff0c\u5176\u4ed6\u7cfb\u5217\u7684\u8b5c\u7dda\u5247\u4e00\u5f8b\u662f\u7d05\u5916\u7dda\u3002<\/p>\n<p>\u5176\u4e2d\u5df4\u8033\u672b\u7cfb\u5217\u6700\u6709\u8da3\uff0c\u5b83\u7684\u524d\u56db\u689d\u8b5c\u7dda\u843d\u5728\u53ef\u898b\u5149\u7684\u7bc4\u570d\uff0c\u5176\u9918\u5404\u689d\u7531\u65bc\u6ce2\u9577\u5c0f\u65bc400\u5948\u7c73\uff0c\u6839\u64da\u5b9a\u7fa9\u90fd\u662f\u7d2b\u5916\u7dda\u3002\u53ef\u662f\uff0c\u53ef\u898b\u5149\u548c\u7d2b\u5916\u7dda\u7684\u5206\u754c\u5176\u5be6\u6c92\u6709\u90a3\u9ebc\u660e\u78ba\uff0c\u4e00\u822c\u4eba\u4ecd\u53ef\u7528\u8089\u773c\u770b\u898b\u672c\u7cfb\u5217\u7684\u7b2c\u4e94\u8207\u7b2c\u516d\u689d(\u6ce2\u9577\u5206\u5225\u70ba397.0\u4ee5\u53ca388.9\u5948\u7c73)\u3002<\/p>\n<figure id=\"attachment_29778\" aria-describedby=\"caption-attachment-29778\" style=\"width: 650px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"wp-image-29778\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2017\/10\/44-3.jpg\" alt=\"\" width=\"650\" height=\"67\" srcset=\"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2017\/10\/44-3.jpg 2337w, https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2017\/10\/44-3-800x82.jpg 800w\" sizes=\"(max-width: 650px) 100vw, 650px\" \/><figcaption id=\"caption-attachment-29778\" class=\"wp-caption-text\">\u5df4\u8033\u672b\u7cfb\u5217\u524d\u516d\u689d\u8b5c\u7dda\uff0c\u5de6\u5074\u52c9\u5f37\u53ef\u898b\u7684\u5169\u689d\u7406\u8ad6\u4e0a\u5c6c\u65bc\u7d2b\u5916\u7dda(\u5716\u50cf\u4f86\u6e90\uff1a\u7dad\u57fa\u767e\u79d1)<\/figcaption><\/figure>\n<p>\u4e0d\u904e\uff0c\u5343\u842c\u5225\u4ee5\u70ba\u5149\u8b5c\u53ea\u80fd\u63d0\u4f9b\u5b9a\u6027\u7684\u8b49\u64da\u3002\u4e8b\u5be6\u4e0a\uff0c\u5149\u8b5c\u5be6\u9a57\u7684\u6578\u64da\u901a\u5e38\u90fd\u5f88\u7cbe\u78ba\uff0c\u8db3\u4ee5\u4f5c\u70ba\u6c2b\u539f\u5b50\u80fd\u968e\u7684\u5b9a\u91cf\u8b49\u64da\u3002\u4e0b\u9762\u505a\u500b\u7c21\u55ae\u7684\u793a\u7bc4\uff1a<\/p>\n<p>\u6c2b\u539f\u5b50\u80fd\u968e\u7684\u516c\u5f0f\u662f\uff1aE<sub>n<\/sub>=-2.180*10<sup>-18<\/sup>\/n<sup>2<\/sup>\u7126\u8033<\/p>\n<p>\u5982\u679c\u96fb\u5b50\u964d\u7d1a\uff0c\u91cf\u5b50\u6578\u5f9en\u964d\u5230m\uff0c\u91cb\u51fa\u7684\u80fd\u91cf\u662f\u25b3E=2.180*10<sup>-18<\/sup>(1\/m<sup>2<\/sup>-1\/n<sup>2<\/sup>)\u7126\u8033<\/p>\n<p>\u9019\u500b\u80fd\u91cf\u5982\u679c\u8f49\u5316\u6210\u4e00\u500b\u5149\u5b50\uff0c\u90a3\u9ebc\u6839\u64da\u611b\u56e0\u65af\u5766\u7684\u7406\u8ad6(\u5149\u5b50\u80fd\u91cf\uff1d\u666e\u6717\u514b\u5e38\u6578*\u983b\u7387)\uff0c\u6211\u5011\u5c31\u80fd\u8f15\u6613\u7b97\u51fa\u5c0d\u61c9\u7684\u96fb\u78c1\u6ce2\u5176\u983b\u7387\u548c\u6ce2\u9577\u3002\u7528\u5df4\u8033\u672b\u7cfb\u5217\u7684\u7b2c\u4e94\u689d\u8b5c\u7dda\u70ba\u4f8b\uff0c\u5b83\u5c0d\u61c9\u65bc\u96fb\u5b50\u5f9e\u7b2c\u4e03\u500b\u80fd\u968e\u964d\u7d1a\u5230\u7b2c\u4e8c\u968e\uff1a<\/p>\n<p>\u25b3E=2.180*10<sup>-18<\/sup>(1\/2<sup>2<\/sup>-1\/7<sup>2<\/sup>)=5.005*10<sup>-19<\/sup>\u7126\u8033<\/p>\n<p>\u983b\u7387=\u25b3E\/h=5.005*10<sup>-19<\/sup>\/6.626*10<sup>-34<\/sup>=7.553*10<sup>14<\/sup>\/\u79d2 (\u5176\u4e2dh\u662f\u666e\u6717\u514b\u5e38\u6578)<\/p>\n<p>\u6ce2\u9577=\u5149\u901f\/\u983b\u7387=299792458*10<sup>9<\/sup>\/7.553*10<sup>14<\/sup>=396.9\u5948\u7c73\u2252397.0\u5948\u7c73<\/p>\n<p>\u6211\u5011\u4e4b\u6240\u4ee5\u76f8\u4fe1\u6c2b\u539f\u5b50\u80fd\u968e\u78ba\u5be6\u5b58\u5728\uff0c\u6b63\u662f\u56e0\u70ba\u6709\u9019\u4e9b\u7cbe\u78ba\u7684\u5149\u8b5c\u6578\u64da\u4f5c\u5f8c\u76fe\uff01<\/p>\n<p>\uff0a\u3000\u3000\uff0a\u3000\u3000\uff0a<\/p>\n<p>\u5982\u679c\u4f60\u89ba\u5f97\u4e0a\u6587\u7c21\u6f54\u6709\u529b\uff0c\u6216\u8a31\u610f\u5473\u8457\u300c\u6cd5\u570b\u5f0f\u79d1\u666e\u300d\u5f88\u9069\u5408\u4f60\u3002\u4f46\u5982\u679c\u4f60\u89ba\u5f97\u5c11\u4e86\u4e9b\u4ec0\u9ebc\uff0c\u6c92\u95dc\u4fc2\uff0c\u6211\u5011\u7684\u5be6\u9a57\u5c1a\u672a\u7d50\u675f\u3002<\/p>\n<p><strong>\u9644\u9304\uff1a\u82ae\u5f97\u67cf\u516c\u5f0f(Rydberg formula)<\/strong><\/p>\n<p>\u672c\u6587\u7bc4\u4f8b\u4e2d\u7684\u4e09\u500b\u8a08\u7b97\u6b65\u9a5f\uff0c\u5176\u5be6\u5927\u53ef\u5408\u4f75\u70ba\u4e00\u500b\u5f0f\u5b50\uff1a<\/p>\n<p>\u6ce2\u9577=\u5149\u901f\/\u983b\u7387=\u5149\u901f*h\/\u25b3E=91.13\/(1\/2<sup>2<\/sup>-1\/7<sup>2<\/sup>)\u5948\u7c73<\/p>\n<p>\u9019\u500b\u5f0f\u5b50\u7576\u7136\u53ef\u4ee5\u63a8\u5ee3\u6210\u300c\u96fb\u5b50\u5f9e\u7b2cn\u968e\u964d\u5230\u7b2cm\u968e\u300d\u7684\u4e00\u822c\u60c5\u5f62\uff1a<\/p>\n<p>\u6ce2\u9577=91.13\/(1\/m<sup>2<\/sup>-1\/n<sup>2<\/sup>)\u5948\u7c73<\/p>\n<p>\u9019\u5c31\u662f\u6240\u8b02\u7684\u82ae\u5f97\u67cf\u516c\u5f0f\uff0c\u4e0d\u904e\u66f4\u5e38\u898b\u7684\u7248\u672c\u662f\uff1a<\/p>\n<p>1\/\u6ce2\u9577=R(1\/m<sup>2<\/sup>-1\/n<sup>2<\/sup>)<\/p>\n<p>\u5176\u4e2dR=0.01097(\u55ae\u4f4d\u70ba\u5948\u7c73\u7684\u5012\u6578)=1.097*10<sup>7<\/sup>(\u55ae\u4f4d\u70ba\u516c\u5c3a\u7684\u5012\u6578)<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/line.me\/R\/ti\/p\/%40fcx6182w\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/scdn.line-apps.com\/n\/line_add_friends\/btn\/zh-Hant.png\" alt=\"\u52a0\u5165\u597d\u53cb\" width=\"212\" height=\"36\" border=\"0\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4ecb\u7d39\u79d1\u5b78\u77e5\u8b58\u7684\u65b9\u5f0f\u5927\u81f4\u6709\u5169\u7a2e\uff0c\u300c\u7f8e\u570b\u5f0f\u300d\u7684\u512a\u9ede\u662f\u5f15\u4eba\u5165\u52dd\uff0c\u7f3a\u9ede\u5247\u662f\u96e3\u514d\u6709\u9ede\u56c9\u55e6\uff0c\u8b80\u8005\u5982\u679c\u53ea\u60f3\u77ad\u89e3\u79d1\u5b78\u77e5\u8b58\uff0c\u5fc5\u9808\u5f9e\u6545\u4e8b\u4e2d\u6c99\u88e1\u6dd8\u91d1\u3002\u53cd\u4e4b\uff0c\u300c\u6cd5\u570b\u5f0f\u300d\u7684\u512a\u7f3a\u9ede\u5247\u525b\u597d\u76f8\u53cd\u3002<\/p>\n","protected":false},"author":20,"featured_media":29776,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3112,3293],"tags":[3473,3636,3634,3635,3637],"aioseo_notices":[],"jetpack_featured_media_url":"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2017\/10\/44-1.jpg","_links":{"self":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/29775"}],"collection":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/users\/20"}],"replies":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=29775"}],"version-history":[{"count":6,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/29775\/revisions"}],"predecessor-version":[{"id":31853,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/29775\/revisions\/31853"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/media\/29776"}],"wp:attachment":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=29775"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=29775"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=29775"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}