{"id":977,"date":"2026-08-25T10:18:50","date_gmt":"2026-08-25T01:18:50","guid":{"rendered":"https:\/\/iupizeta.mgc.co.jp\/?post_type=column&p=977"},"modified":"2026-08-25T10:18:50","modified_gmt":"2026-08-25T01:18:50","slug":"abbe-number","status":"publish","type":"column","link":"https:\/\/iupizeta.mgc.co.jp\/cn\/column\/abbe-number\/","title":{"rendered":"\u4ec0\u4e48\u662f\u963f\u8d1d\u6570\uff1f\u4ece\u8272\u5dee\u57fa\u7840\u5230\u5149\u5b66\u6750\u6599\u7684\u9009\u62e9\u65b9\u6cd5"},"content":{"rendered":"\n

\u963f\u8d1d\u6570\u662f\u8868\u793a\u955c\u5934\u6750\u6599\u4f7f\u5149\u6309\u6ce2\u957f\u53d1\u751f\u8272\u6563\u7a0b\u5ea6\u7684\u6307\u6807\u3002\u6570\u503c\u8d8a\u5927\uff0c\u8272\u5dee\u8d8a\u5c0f\uff0c\u4f46\u6570\u503c\u8f83\u5c0f\u7684\u6750\u6599\u5e76\u975e\u6027\u80fd\u8f83\u5dee\u3002\u672c\u6587\u5c06\u4f9d\u6b21\u8bf4\u660e\u5b9a\u4e49\u5f0f\u7684\u542b\u4e49\u3001\u5404\u6750\u6599\u7684\u5b9e\u6d4b\u503c\uff0c\u4ee5\u53ca\u5728\u955c\u5934\u8bbe\u8ba1\u4e2d\u7684\u9009\u7528\u65b9\u6cd5\u3002<\/p>\n\n\n\n

\ud83d\udccc \u4e09\u884c\u901f\u89c8\u6458\u8981<\/p>\n\n\n\n

\u963f\u8d1d\u6570 \u03bdd=(nd\u22121)\/(nF\u2212nC)\uff0c\u6570\u503c\u8d8a\u5927\uff0c\u6298\u5c04\u7387\u968f\u6ce2\u957f\u53d8\u5316\u7684\u8272\u6563\u8d8a\u5c0f<\/p>\n\n\n\n

\u6298\u5c04\u7387\u4e0e\u963f\u8d1d\u6570\u76f8\u4e92\u5236\u7ea6\uff0c\u4e3a\u8584\u578b\u5316\u800c\u63d0\u9ad8\u6298\u5c04\u7387\u7684\u6750\u6599\uff0c\u963f\u8d1d\u6570\u5f80\u5f80\u968f\u4e4b\u964d\u4f4e<\/p>\n\n\n\n

\u6d88\u8272\u5dee\u955c\u5934\u7684\u5b9e\u73b0\u79bb\u4e0d\u5f00\u4f4e\u963f\u8d1d\u6570\u6750\u6599\uff0c\u6570\u503c\u4f4e\u5e76\u975e\u7f3a\u70b9\uff0c\u800c\u662f\u4e00\u79cd\u529f\u80fd<\/p>\n\n\n\n

\u4ec0\u4e48\u662f\u963f\u8d1d\u6570\uff1f\u8868\u793a\u8272\u6563\u7a0b\u5ea6\u7684\u6307\u6807<\/h2>\n\n\n\n

\u4e00\u53e5\u8bdd\u7406\u89e3\u963f\u8d1d\u6570<\/h3>\n\n\n\n

\u963f\u8d1d\u6570\u662f\u8868\u793a\u955c\u5934\u6750\u6599\u6ce2\u957f\u8272\u6563\u5c0f\u7684\u7a0b\u5ea6\u7684\u6307\u6807\uff0c\u7b26\u53f7\u4e3a\u03bdd\u3002<\/p>\n\n\n\n

\u767d\u5149\u7531\u591a\u79cd\u6ce2\u957f\u6210\u5206\u6784\u6210\uff0c\u900f\u8fc7\u955c\u5934\u65f6\u4f1a\u56e0\u5404\u6ce2\u957f\u6298\u5c04\u7387\u7684\u5dee\u5f02\u800c\u53d1\u751f\u5206\u79bb\uff0c\u8fd9\u79cd\u5206\u79bb\u7a0b\u5ea6\u79f0\u4e3a\u8272\u6563\uff0c\u963f\u8d1d\u6570\u8d8a\u5927\uff0c\u8272\u6563\u8d8a\u5c0f\u3002\u8be5\u540d\u79f0\u6e90\u81ea\u5fb7\u56fd\u7269\u7406\u5b66\u5bb6\u6069\u65af\u7279\u00b7\u963f\u8d1d\uff08Ernst Abbe\uff09\u3002<\/p>\n\n\n\n

\u5982\u4f55\u89e3\u8bfb\u5b9a\u4e49\u5f0f\u03bdd=(nd\u22121)\/(nF\u2212nC)<\/h3>\n\n\n\n

\u5b9a\u4e49\u5f0f\u5982\u4e0b\uff1a<\/p>\n\n\n\n

\u03bdd = (nd \u2212 1) \/ (nF \u2212 nC)<\/p>\n\n\n\n

\u5206\u5b50\uff08nd \u2212 1\uff09 \uff1a\u8868\u793a\u5149\u7126\u5ea6\u5927\u5c0f\uff0cnd\u8d8a\u5927\uff0c\u6298\u5c04\u89d2\u8d8a\u5927<\/p>\n\n\n\n

\u5206\u6bcd\uff08nF \u2212 nC\uff09 \uff1a\u8868\u793a\u84dd\u5149\u4e0e\u7ea2\u5149\u7684\u6298\u5c04\u7387\u5dee\uff0c\u5373\u6ce2\u957f\u4f9d\u8d56\u6027\u7684\u5927\u5c0f<\/p>\n\n\n\n

\u56e0\u6b64\u03bdd\u53ef\u89e3\u8bfb\u4e3a\u201c\u5149\u7126\u5ea6\u00f7\u6ce2\u957f\u4f9d\u8d56\u6027\u201d\u3002\u5c06\u5149\u5b66\u73bb\u7483N-BK7\uff08nd 1.51680\uff0cnF 1.52238\uff0cnC 1.51432\uff09\u4ee3\u5165\u8be5\u5f0f\uff0c\u53ef\u5f97 64.1\uff0c\u4e0e\u5176\u516c\u5f00\u503c\u03bdd 64.17\u4e00\u81f4\uff08SCHOTT\uff09\u3002<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

\u4f5c\u4e3a\u57fa\u51c6\u76843\u4e2a\u6ce2\u957f<\/h3>\n\n\n\n

d\u3001F\u3001C\u662f\u7279\u5b9a\u6ce2\u957f\u8c31\u7ebf\u7684\u7b26\u53f7\uff0c\u5373\u6240\u8c13\u7684\u592b\u7405\u79be\u8d39\u8c31\u7ebf\u3002<\/p>\n\n\n\n

\u7b26\u53f7<\/th>\u6ce2\u957f<\/th>\u5149\u6e90\u5143\u7d20<\/th>\u53ef\u89c1\u989c\u8272<\/th><\/tr><\/thead>
d\u7ebf<\/td>587.56 nm<\/td>\u6c26\uff08He\uff09<\/td>\u9ec4\u8272<\/td><\/tr>
F\u7ebf<\/td>486.13 nm<\/td>\u6c22\uff08H\uff09<\/td>\u84dd\u8272<\/td><\/tr>
C\u7ebf<\/td>656.27 nm<\/td>\u6c22\uff08H\uff09<\/td>\u7ea2\u8272<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

\u8fd9\u4e9b\u6570\u503c\u7531JIS B 7090:1999\uff08ISO 7944:1998\uff09\u89c4\u5b9a\uff08\u5c9b\u6d25\u5236\u4f5c\u6240\uff09\uff0c\u5b9e\u9645\u5e94\u7528\u4e2d\u6709\u65f6\u4f1a\u56db\u820d\u4e94\u5165\u4e3a587.6\/486.1\/656.3 nm\u5904\u7406\u3002<\/p>\n\n\n\n

\u5149\u7684\u8272\u6563\u4e0e\u8272\u5dee\u2014\u2014\u963f\u8d1d\u6570\u4e3a\u4f55\u91cd\u8981<\/h2>\n\n\n\n

\u4ec0\u4e48\u662f\u8272\u6563\uff1f\u6298\u5c04\u7387\u968f\u989c\u8272\u800c\u53d8\u5316\u7684\u73b0\u8c61<\/h3>\n\n\n\n

\u6298\u5c04\u7387\u8868\u793a\u5149\u53d1\u751f\u6298\u5c04\u7684\u7a0b\u5ea6\uff0c\u4f1a\u968f\u6ce2\u957f\u800c\u53d8\u5316\u3002\u5927\u591a\u6570\u900f\u660e\u6750\u6599\u5728\u77ed\u6ce2\u957f\uff08\u84dd\u5149\uff09\u4e00\u4fa7\u6298\u5c04\u7387\u66f4\u9ad8\uff0c\u8fd9\u79cd\u6ce2\u957f\u4f9d\u8d56\u6027\u5373\u4e3a\u8272\u6563\u3002<\/p>\n\n\n\n

\u8f74\u5411\u8272\u5dee\u4e0e\u500d\u7387\u8272\u5dee<\/h3>\n\n\n\n

\u5b58\u5728\u8272\u6563\u65f6\uff0c\u6210\u50cf\u4e2d\u4e0d\u540c\u989c\u8272\u7684\u6210\u50cf\u4f4d\u7f6e\u4e0e\u500d\u7387\u4f1a\u4ea7\u751f\u504f\u5dee\uff0c\u8868\u73b0\u4e3a\u8272\u5dee\u3002\u8272\u5dee\u5927\u81f4\u5206\u4e3a\u8f74\u5411\u8272\u5dee\u4e0e\u500d\u7387\u8272\u5dee\u4e24\u7c7b\u3002<\/p>\n\n\n\n

\u8f74\u5411\u8272\u5dee\uff08\u7eb5\u5411\u8272\u5dee\uff09\u662f\u7126\u70b9\u4f4d\u7f6e\u968f\u6ce2\u957f\u53d1\u751f\u504f\u79fb\u7684\u73b0\u8c61\u3002\u5373\u4fbf\u5728\u753b\u9762\u4e2d\u5fc3\u4e5f\u4f1a\u53d1\u751f\uff0c\u4f1a\u964d\u4f4e\u6574\u5e45\u56fe\u50cf\u7684\u5206\u8fa8\u80fd\u529b\uff0c\u53ef\u901a\u8fc7\u7f29\u5c0f\u5149\u5708\u6765\u51cf\u8f7b\u3002<\/p>\n\n\n\n

\u500d\u7387\u8272\u5dee\uff08\u6a2a\u5411\u8272\u5dee\uff09\u662f\u50cf\u7684\u500d\u7387\u968f\u6ce2\u957f\u53d1\u751f\u53d8\u5316\u7684\u73b0\u8c61\uff0c\u4f1a\u5728\u753b\u9762\u5468\u8fb9\u7684\u8f6e\u5ed3\u5904\u4ea7\u751f\u8272\u8fb9\u3002\u7531\u4e8e\u7ecf\u8fc7\u955c\u5934\u4e2d\u5fc3\u7684\u4e3b\u5149\u7ebf\u4e5f\u4f1a\u53d1\u751f\u8be5\u73b0\u8c61\uff0c\u56e0\u6b64\u65e0\u6cd5\u901a\u8fc7\u5149\u5708\u6765\u51cf\u8f7b\u3002<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

\u5bf9\u4e8e\u7269\u955c\u800c\u8a00\uff0c\u6821\u6b63\u8f74\u5411\u8272\u5dee\u662f\u5fc5\u4e0d\u53ef\u5c11\u7684\u8981\u6c42\uff0c\u6839\u636e\u6821\u6b63\u7a0b\u5ea6\u5206\u4e3a\u6d88\u8272\u5dee\u955c\u5934\u4e0e\u590d\u6d88\u8272\u5dee\u955c\u5934\u4e24\u7c7b\uff08\u5c3c\u5eb7\u89e3\u51b3\u65b9\u6848\u3001\u65e5\u672c\u5929\u6587\u5b66\u4f1a\u300a\u5929\u6587\u5b66\u8bcd\u5178\u300b\uff09\u3002<\/p>\n\n\n\n

\u4e3b\u8981\u5149\u5b66\u6750\u6599\u7684\u963f\u8d1d\u6570\u4e00\u89c8<\/h2>\n\n\n\n

\u5149\u5b66\u73bb\u7483\u4e0e\u5149\u5b66\u6811\u8102\u6bd4\u8f83<\/h3>\n\n\n\n

\u4e0b\u8868\u5217\u51fa\u4e86\u5404\u6750\u6599\u7684\u6298\u5c04\u7387\u4e0e\u963f\u8d1d\u6570\u3002<\/p>\n\n\n\n

\u6750\u6599<\/th>\u7c7b\u522b<\/th>\u6298\u5c04\u7387nd<\/th>\u963f\u8d1d\u6570\u03bdd<\/th><\/tr><\/thead>
N-BK7<\/td>\u5149\u5b66\u73bb\u7483<\/td>1.51680<\/td>64.17<\/td><\/tr>
PMMA\uff08\u4e9a\u514b\u529b\uff09<\/td>\u5149\u5b66\u6811\u8102<\/td>\u7ea61.49<\/td>\u7ea657\uff08\u203b\uff09<\/td><\/tr>
COP<\/td>\u5149\u5b66\u6811\u8102<\/td>1.535<\/td>56<\/td><\/tr>
\u6807\u51c6\u805a\u78b3\u9178\u916f<\/td>\u5149\u5b66\u6811\u8102<\/td>1.586<\/td>30<\/td><\/tr>
Iupizeta EP\uff08\u7279\u6b8aPC\uff09<\/td>\u5149\u5b66\u6811\u8102<\/td>1.616\uff5e1.671<\/td>19.2\uff5e25.8<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

\u51fa\u5904\uff1aSCHOTT\u3001\u65e5\u672c\u745e\u7fc1\u3001MGC\u8d38\u6613<\/a>\u3001Iupizeta EP<\/a>\u203b PMMA\u4e0e\u6807\u51c6\u805a\u78b3\u9178\u916f\u4e3a\u884c\u4e1a\u4ee3\u8868\u503c\u3002\u636e\u4e0d\u540c\u6587\u732e\uff0cPMMA\u7684\u03bdd\u8303\u56f4\u4e3a57\uff5e58\uff0c\u6807\u51c6PC\u7684nd\u4e3a1.58\u533a\u95f4\u524d\u6bb5\u3001\u03bdd\u7ea630\uff5e31\u3002\u8bbe\u8ba1\u65f6\u8bf7\u52a1\u5fc5\u786e\u8ba4\u5236\u9020\u5546\u6700\u65b0\u7684\u6280\u672f\u6570\u636e\u8868\uff08TDS\uff09\u3002<\/p>\n\n\n\n

\u5982\u4f55\u89e3\u8bfb\u4ea7\u54c1\u6837\u672c\u4e2d\u7684\u6570\u503c<\/h3>\n\n\n\n

\u7269\u6027\u8868\u4e2d\u8bb0\u8f7d\u7684\u6570\u503c\u7a76\u7adf\u662f\u6d4b\u5b9a\u503c\u8fd8\u662f\u89c4\u683c\u503c\uff0c\u9700\u8981\u52a0\u4ee5\u533a\u5206\u3002Iupizeta EP\u9644\u6709\u4ee5\u4e0b\u6ce8\u8bb0\uff1a<\/p>\n\n\n\n

\u672c\u7269\u6027\u8868\u4e2d\u8bb0\u8f7d\u7684\u6570\u636e\u4e3a\u6d4b\u5b9a\u503c\uff0c\u5e76\u975e\u89c4\u683c\u503c\u3002<\/p>\n\n\n\n

\u6d4b\u5b9a\u503c\u662f\u5728\u4ee3\u8868\u6027\u6761\u4ef6\u4e0b\u83b7\u5f97\u7684\u5b9e\u6d4b\u6570\u636e\uff0c\u5e76\u4e0d\u610f\u5473\u7740\u6709\u4fdd\u8bc1\u7684\u4e0a\u9650\u6216\u4e0b\u9650\u3002\u5728\u6536\u7d27\u516c\u5dee\u65f6\uff0c\u8fd8\u9700\u8981\u786e\u8ba4\u6d4b\u5b9a\u6761\u4ef6\uff08\u6ce2\u957f\u3001\u6e29\u5ea6\u3001\u8bd5\u6837\u539a\u5ea6\uff09\u3002<\/p>\n\n\n\n

\u6298\u5c04\u7387\u4e0e\u963f\u8d1d\u6570\u7684\u6743\u8861<\/h2>\n\n\n\n

\u6298\u5c04\u7387\u8d8a\u9ad8\uff0c\u963f\u8d1d\u6570\u8d8a\u4f4e<\/h3>\n\n\n\n

\u5149\u5b66\u6750\u6599\u4e2d\uff0c\u6298\u5c04\u7387\u4e0e\u963f\u8d1d\u6570\u4e4b\u95f4\u5b58\u5728\u65e0\u6cd5\u907f\u514d\u7684\u76f8\u4e92\u5236\u7ea6\u5173\u7cfb\uff1a\u6298\u5c04\u7387\u8d8a\u9ad8\uff0c\u963f\u8d1d\u6570\u5c31\u8d8a\u4f4e\u3002<\/p>\n\n\n\n

Iupizeta EP\u4e5f\u5448\u73b0\u51fa\u8fd9\u4e00\u8d8b\u52bf\uff1a\u6298\u5c04\u7387\u4ece1.616\u5347\u81f31.671\u7684\u8fc7\u7a0b\u4e2d\uff0c\u963f\u8d1d\u6570\u4ece25.8\u5355\u8c03\u4e0b\u964d\u81f319.2\u3002\u5149\u5b66\u73bb\u7483\u4e5f\u540c\u6837\u5982\u6b64\uff0c\u76f8\u5bf9\u4e8eN-BK7 64.17\u7684\u963f\u8d1d\u6570\uff0c\u7528\u4e8e\u6d88\u8272\u5dee\u7684\u706b\u77f3\u73bb\u7483\u4ec5\u4e3a30\u5de6\u53f3\u3002<\/p>\n\n\n\n

\u5176\u539f\u56e0\u5728\u4e8e\u6750\u6599\u7684\u7535\u5b50\u7ed3\u6784\uff1a\u63d0\u9ad8\u6298\u5c04\u7387\u7684\u5206\u5b50\u7ed3\u6784\uff0c\u540c\u65f6\u4e5f\u4f1a\u589e\u5927\u6ce2\u957f\u4f9d\u8d56\u6027\u3002<\/p>\n\n\n\n

\u6298\u5c04\u7387\u9ad8\u7684\u6750\u6599\u6709\u52a9\u4e8e\u955c\u5934\u8584\u578b\u5316\uff0c\u4f46\u4f1a\u589e\u5927\u8272\u5dee\u3002\u8fd9\u4e00\u76f8\u4e92\u5236\u7ea6\u5173\u7cfb\u6b63\u662f\u5149\u5b66\u8bbe\u8ba1\u7684\u51fa\u53d1\u70b9\u3002<\/p>\n\n\n\n

\u8eab\u8fb9\u7684\u4f8b\u5b50\uff1a\u773c\u955c\u955c\u7247<\/h3>\n\n\n\n

\u540c\u6837\u7684\u6743\u8861\u5173\u7cfb\u4e5f\u9002\u7528\u4e8e\u773c\u955c\u955c\u7247\u3002\u6298\u5c04\u7387\u7ea61.74\u7684\u9ad8\u6298\u5c04\u7387\u955c\u7247\uff0c\u963f\u8d1d\u6570\u53ef\u80fd\u964d\u81f331\u5de6\u53f3\uff1b\u6298\u5c04\u7387\u57281.50\u5de6\u53f3\u7684\u955c\u7247\uff0c\u963f\u8d1d\u6570\u5219\u5904\u4e8e50\u591a\u7684\u6c34\u5e73\u3002\u6298\u5c04\u7387\u8d8a\u9ad8\u3001\u955c\u7247\u8d8a\u8584\uff0c\u8272\u5dee\u5c31\u8d8a\u5bb9\u6613\u663e\u73b0\u3002\u5177\u4f53\u5404\u7b49\u7ea7\u7684\u6570\u503c\uff0c\u8bf7\u53c2\u89c1\u5236\u9020\u5546\u6700\u65b0\u6837\u672c\u3002<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

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