{"id":69593,"date":"2016-03-20T08:08:09","date_gmt":"2016-03-20T00:08:09","guid":{"rendered":"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/?p=69593"},"modified":"2021-10-06T16:09:36","modified_gmt":"2021-10-06T08:09:36","slug":"%e4%bc%bc%e6%b0%ab%e5%8e%9f%e5%ad%902s%e8%bb%8c%e5%9f%9f%e7%9a%84%e8%a7%a3%e6%9e%90%ef%bc%88%e4%b8%8b%ef%bc%89","status":"publish","type":"post","link":"http:\/\/localhost\/%e4%bc%bc%e6%b0%ab%e5%8e%9f%e5%ad%902s%e8%bb%8c%e5%9f%9f%e7%9a%84%e8%a7%a3%e6%9e%90%ef%bc%88%e4%b8%8b%ef%bc%89\/","title":{"rendered":"\u4f3c\u6c2b\u539f\u5b502s\u8ecc\u57df\u7684\u89e3\u6790\uff08\u4e0b\uff09"},"content":{"rendered":"<div class=\"pf-content\"><p><span style=\"color: #ff6600;\"><strong>\u4f3c\u6c2b\u539f\u5b502s\u8ecc\u57df\u7684\u89e3\u6790\uff08\u4e0b\uff09 Analytical 2s orbital of hydrogen like atom (II)<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>\u570b\u7acb\u81fa\u7063\u5e2b\u7bc4\u5927\u5b78\u5316\u5b78\u7cfb\u517c\u4efb\u6559\u6388 \u90b1\u667a\u5b8f\u6559\u6388<\/strong><\/span><\/p>\n<p>\u9023\u7d50\uff1a\u00a0<a href=\"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/?p=69592\">\u4f3c\u6c2b\u539f\u5b502s\u8ecc\u57df\u7684\u89e3\u6790\uff08\u4e0a\uff09<\/a><\/p>\n<p><strong><span style=\"color: #000080;\">\u4e8c\u3001\u96fb\u5b50\u51fa\u73fe\u5728\u4f3c\u6c2b\u539f\u5b50 $$2s$$ \u8ecc\u57df\u7bc0\u7403\u9762\u4ee5\u5167\u7684\u6a5f\u7387\u6709\u591a\u5c11<\/span><\/strong><\/p>\n<p>\u6b32\u6c42\u5716\u56db\u4e2d\u96fb\u5b50\u51fa\u73fe\u5728 $$2s$$ \u8ecc\u57df\u7bc0\u7403\u9762\u4ee5\u5167\u7684\u6a5f\u7387\u6709\u591a\u5c11\uff1f\u5247\u5fc5\u9808\u5c0d\u5f91\u5411\u6a5f\u7387\u51fd\u6578\u5f9e $$0$$ \u7a4d\u5206\u5230 $$2a_0\/Z$$\uff0c\u5373\u6c42\u5716\u56db\u4e2d\u7b2c\u4e00\u500b\u5c0f\u5c71\u4e18\u7684\u9762\u7a4d\uff0c\u53ef\u8868\u793a\u5982\u4e0b\uff1a<\/p>\n<p>\\begin{array}{ll} \\displaystyle\\int^{2a_0\/Z}_{0}4\\pi|\\varphi_{2s}|^2r^2dr&amp;=\\displaystyle\\frac{Z^3}{8a^{3}_0}\\int^{2a_0\/Z}_{0}(2-\\frac{Zr}{a_0})^2r^2e^{-\\frac{Zr}{a_0}}dr\\\\&amp;=\\displaystyle\\frac{Z^3}{8a^{3}_0}\\int^{2a_0\/Z}_{0}(4r^2-\\frac{4Zr^3}{a_0}+\\frac{Z^2r^4}{a^{2}_0})e^{-\\frac{Zr}{a_0}}dr\\end{array}<\/p>\n<p><!--more-->\u4e0a\u5217\u7a4d\u5206\u53ef\u5206\u6210 $$\\frac{Z^3}{2a^{3}_0}\\int^{2a_0\/Z}_{0}r^2e^{-\\frac{Zr}{a_0}}dr$$\u3001$$\\frac{-Z^4}{2a^{4}_0}\\int^{2a_0\/Z}_{0}r^3e^{-\\frac{Zr}{a_0}}dr$$ \u548c $$\\frac{Z^5}{8a^{5}_0}\\int^{2a_0\/Z}_{0}r^4e^{-\\frac{Zr}{a_0}}dr$$ \u4e09\u90e8\u5206\u7684\u7e3d\u548c\uff0c\u5176\u7a4d\u5206\u5f0f\u57fa\u672c\u4e0a\u5747\u53ef\u4f7f\u7528\u90e8\u5206\u7a4d\u5206(integral by parts)\u7684\u65b9\u5f0f\u6c42\u89e3\uff0c\u5373 $$\\int udv=uv-\\int vdu$$\uff0c\u4e0d\u719f\u6089\u6578\u5b78\u904b\u7b97\u7684\u8b80\u8005\uff0c\u4ea6\u53ef\u8df3\u904e\u4e0b\u4e00\u6bb5\u6558\u8ff0\u76f4\u63a5\u5f97\u77e5\u7d50\u679c\u3002<\/p>\n<p>\u6211\u5011\u5c07\u793a\u7bc4\u4e0a\u5217\u6700\u96e3\u7684\u6700\u5f8c\u4e00\u500b\u7a4d\u5206\u5f0f($$\\frac{Z^5}{8a^{5}_0}\\int^{2a_0\/Z}_{0}r^4e^{-\\frac{Zr}{a_0}}dr$$)\uff0c\u5176\u4ed6\u4e8c\u500b\u5247\u76f4\u63a5\u4ee5\u7d50\u679c\u986f\u793a\uff0c\u9996\u5148\u4ee4 $$u=r^4$$\u3001$$dv=e^{-\\frac{Zr}{a_0}}dr$$\uff0c\u56e0\u6b64 $$du=4r^3dr$$\u3001$$v=(\\frac{-a_0}{Z})e^{-\\frac{Zr}{a_0}}$$\uff0c\u4ee3\u5165\u4e0a\u5f0f\u53ef\u5f97<\/p>\n<p style=\"padding-left: 30px;\">$$\\displaystyle\\frac{Z^5}{8a^{5}_0}\\int^{2a_0\/Z}_{0}r^4e^{-\\frac{Zr}{a_0}}dr\\\\=\\displaystyle\\frac{Z^5}{8a^5_0}\\left\\{(r^4)\\left(\\frac{-a_0}{Z}e^{-\\frac{Zr}{a_0}}\\right)\\Big|^{2a_0\/Z}_0-\\int^{2a_0\/Z}_0\\left(\\frac{-a_0}{Z}\\right)e^{-\\frac{Zr}{a_0}}4r^3dr\\right\\}$$<\/p>\n<p>\u518d\u4ee4 $$u=r^3$$\uff0c$$dv=e^{-\\frac{Zr}{a_0}}dr$$\uff0c$$du=3r^2dr$$\u3001$$v=(\\frac{-a_0}{Z})e^{-\\frac{Zr}{a_0}}dr$$\uff0c\u5247\u4e0a\u5f0f\u7684\u7a4d\u5206\u5f0f\u53ef\u8868\u793a\u5982\u4e0b\uff1a<\/p>\n<p>$$\\displaystyle\\frac{Z^5}{8a^5_0}\\left\\{\\left((r^4)(\\frac{-a_0}{Z})e^{-\\frac{Zr}{a_0}}\\right)\\Big|^{2a_0\/Z}_0-4\\left((r^3)(\\frac{-a_0}{Z})^2e^{-\\frac{Zr}{a_0}}\\right)\\Big|^{2a_0\/Z}_0+4\\int^{2a_0\/Z}_0\\left(\\frac{-a_0}{Z}\\right)^2e^{-\\frac{Zr}{a_0}}3r^2dr\\right\\}$$<\/p>\n<p>\u5c07\u4e0a\u5f0f\u7684\u7a4d\u5206\u5f0f\u91cd\u8907\u518d\u505a\u90e8\u5206\u7a4d\u5206\uff0c\u6700\u5f8c\u53ef\u5f97\u4e0b\u5f0f\uff1a<\/p>\n<p>$$\\displaystyle\\frac{Z^5}{8a^5_0}\\left\\{\\left[\\left(\\frac{-a_0r^4}{Z}\\right )+\\left(\\frac{-4a^2_0r^3}{Z^2}\\right )+\\left(\\frac{-12a^3_0r^2}{Z^3}\\right )+\\left(\\frac{-24a^4_0r}{Z^4}\\right )+\\left(\\frac{-24a^5_0}{Z^5}\\right )\\right]e^{-\\frac{Zr}{a_0}}\\Big|^{2a_0\/Z}_0\\right\\}$$<\/p>\n<p>\u5c07\u5b9a\u7a4d\u5206\u7684\u4e0a\u4e0b\u9650\u4ee3\u5165\u4e0a\u5f0f\u53ef\u5316\u7c21\u70ba\u4e0b\uff0c\u7531\u4e0b\u5f0f\u53ef\u770b\u51fa $$Z$$ \u53ca $$a_0$$ \u5728\u5f0f\u4e2d\u5747\u4e92\u76f8\u7d04\u5206\u800c\u6d88\u5931\uff0c\u4ee3\u8868\u6b64\u7a4d\u5206\u5f0f\u8207 $$Z$$ \u53ca $$a_0$$ \u7121\u95dc\uff0c\u5176\u89e3\u70ba\u4e00\u7121\u55ae\u4f4d\u7684\u6578\u503c\u3002<\/p>\n<p>$$\\displaystyle\\frac{Z^5}{8a^5_0}\\left\\{\\left[\\left(\\frac{-16a^5_0}{Z^5}\\right )+\\left(\\frac{-32a^5_0}{Z^5}\\right )+\\left(\\frac{-48a^5_0}{Z^5}\\right )+\\left(\\frac{-48a^5_0}{Z^5}\\right )+\\left(\\frac{-24a^5_0}{Z^5}\\right )\\right]e^{-2}-\\left(\\frac{-24a^5_0}{Z^5}\\right)e^{-0}\\right\\}$$<br \/>\n$$\\displaystyle=\\frac{1}{8}\\{(-16-32-48-48-24)\\times e^{-2}+24\\times e^{-0}\\}=0.158$$<\/p>\n<p>\u7b2c\u4e00\u500b\u7a4d\u5206\u5f0f\u4ee5\u76f8\u540c\u65b9\u5f0f\uff0c\u53ef\u5f97\u7d50\u679c\u5982\u4e0b\uff1a<\/p>\n<p>$$\\displaystyle\\frac{Z^3}{2a^3_0}\\int^{2a_0\/Z}_{0}r^2e^{-\\frac{Zr}{a_0}}dr$$<br \/>\n$$=\\displaystyle\\frac{Z^3}{2a^3_0}\\left\\{\\left[\\left(\\frac{-a_0r^2}{Z} \\right )+\\left(\\frac{-2a^2_0r}{Z^2}\\right)+\\left(\\frac{-2a^3_0}{Z^3} \\right )\\right]e^{-\\frac{Zr}{a_0}}\\Big|^{2a_0\/Z}_{0}\\right\\}$$<br \/>\n$$=\\displaystyle\\frac{Z^3}{2a^3_0}\\left\\{\\left[\\left(\\frac{-4a^3_0}{Z^3} \\right )+\\left(\\frac{-4a^3_0}{Z^3}\\right)+\\left(\\frac{-2a^3_0}{Z^3} \\right )\\right]e^{-2}-\\left(\\frac{-2a^3_0}{Z^3}\\right)e^{-0}\\right\\}$$<br \/>\n$$\\displaystyle=\\frac{1}{2}\\{(-4-4-2)\\times e^{-2}+2\\times e^{-0}\\}=0.323$$<\/p>\n<p>\u7b2c\u4e8c\u500b\u7a4d\u5206\u5f0f\u4e5f\u4ee5\u76f8\u540c\u65b9\u5f0f\uff0c\u53ef\u5f97\u7d50\u679c\u5982\u4e0b\uff1a<\/p>\n<p>$$\\displaystyle\\frac{-Z^4}{2a^4_0}\\int^{2a_0\/Z}_{0}r^3e^{-\\frac{Zr}{a_0}}dr$$<br \/>\n$$=\\displaystyle\\frac{-Z^4}{2a^4_0}\\left\\{\\left[\\left(\\frac{-a_0r^3}{Z} \\right )+\\left(\\frac{-3a^2_0r^2}{Z^2}\\right)+\\left(\\frac{-6a^3_0r}{Z^3} \\right )+\\left(\\frac{-6a^4_0}{Z^4} \\right )\\right]e^{-\\frac{Zr}{a_0}}\\Big|^{2a_0\/Z}_{0}\\right\\}$$<br \/>\n$$=\\displaystyle\\frac{-Z^4}{2a^4_0}\\left\\{\\left[\\left(\\frac{-8a^4_0}{Z^4} \\right )+\\left(\\frac{-12a^4_0}{Z^4}\\right)+\\left(\\frac{-12a^4_0}{Z^4} \\right )+\\left(\\frac{-6a^4_0}{Z^4} \\right )\\right]e^{-2}-\\left(\\frac{-6a^4_0}{Z^4}\\right)e^{-0}\\right\\}$$<br \/>\n$$\\displaystyle=-\\frac{1}{2}\\{(-8-12-12-6)\\times e^{-2}+6\\times e^{-0}\\}=-0.429$$<\/p>\n<p>\u7d93\u904e\u4e0a\u8ff0\u8a08\u7b97\u4e09\u500b\u7a4d\u5206\u5f0f\u7684\u7e3d\u548c\u53ef\u8868\u793a\u5982\u4e0b\uff1a<\/p>\n<p>$$\\displaystyle\\frac{Z^3}{8a^{3}_0}\\int^{2a_0\/Z}_{0}(4r^2-\\frac{4Zr^3}{a_0}+\\frac{Z^2r^4}{a^{2}_0})e^{-\\frac{Zr}{a_0}}dr=0.323-0.429+0.158=0.053$$<\/p>\n<p>\u6b64\u6578\u503c\u4ee3\u8868\u96fb\u5b50\u82e5\u5b58\u5728\u4f3c\u6c2b\u539f\u5b50\u7684 $$2s$$ \u8ecc\u57df\u6642\uff0c\u7d04\u6709 $$5\\%$$ \u7684\u6a5f\u7387\u5b58\u5728\u7b2c\u4e00\u500b\u7bc0\u7403\u9762\u4ee5\u5167\uff0c\u5176\u4ed6\u7d04 $$95\\%$$ \u7684\u6a5f\u7387\u662f\u5b58\u5728\u7bc0\u7403\u9762\u4ee5\u5916\u3002<\/p>\n<p>\u666e\u5316\u6216\u6709\u6a5f\u5316\u5b78\u7684\u6559\u79d1\u66f8\u7d93\u5e38\u5c07 $$2s$$ \u7684\u6ce2\u51fd\u6578\u5716\u5f62\uff0c\u4ee5 $$1s$$ \u8ecc\u57df\u4f86\u985e\u6bd4\uff0c\u4f8b\u5982\u5716\u4e94\u70ba\u6559\u79d1\u66f8\u4e2d\u5e38\u898b $$2s$$ \u548c $$2p$$ \u8ecc\u57df\u6df7\u6210\u7684\u793a\u610f\u5716\uff0c\u4e8c\u500b\u8ecc\u57df\u6df7\u6210\u6703\u5f62\u6210\u4e8c\u500b $$sp$$ \u8ecc\u57df\uff0c\u4f46\u662f\uff0c\u5716\u4e2d $$2s$$ \u8ecc\u57df\u4f9d\u7167\u91cf\u5b50\u529b\u5b78\u7684\u8a08\u7b97\uff0c\u61c9\u8a72\u6709\u4e00\u500b\u7bc0\u7403\u9762\uff0c\u5206\u6210\u5167\u5916\u4e8c\u5c64\uff0c\u4e14\u4e8c\u5c64\u6ce2\u51fd\u6578\u7684\u6578\u503c\u76f8\u53cd\uff0c\u5373\u5167\u5c64\u70ba\u6b63\u503c\uff0c\u5916\u5c64\u70ba\u8ca0\u503c\u3002<\/p>\n<p>\u5716\u4e94\u4e2d\u537b\u5c07 $$2s$$ \u8ecc\u57df\u7576\u6210\u662f\u7121\u5167\u5916\u4e4b\u5206\u7684\u5713\u7403\u662f\u5426\u5408\u7406\u5462\uff1f\u7d93\u7531\u4e0a\u8ff0\u7684\u8a08\u7b97\u53ef\u77e5\uff0c\u5167\u5c64\u6240\u4f54\u7684\u6bd4\u7387\u50c5\u70ba $$5.3\\%$$\uff0c\u56e0\u6b64\u5c0d\u65bc\u5c1a\u672a\u5b78\u7fd2\u7269\u7406\u5316\u5b78\u6216\u91cf\u5316\u7684\u5b78\u751f\u800c\u8a00\uff0c\u4e0d\u5931\u70ba\u4e00\u7a2e\u7c21\u6f54\u6613\u61c2\u800c\u5408\u7406\u7684\u5047\u8a2d\u3002<\/p>\n<div id=\"attachment_69616\" style=\"width: 610px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/wp-content\/uploads\/2016\/03\/69593_p5.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-69616\" class=\"wp-image-69616\" src=\"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/wp-content\/uploads\/2016\/03\/69593_p5.png\" alt=\"69593_p5\" width=\"600\" height=\"280\" srcset=\"http:\/\/localhost\/wp-content\/uploads\/2016\/03\/69593_p5.png 665w, http:\/\/localhost\/wp-content\/uploads\/2016\/03\/69593_p5-300x139.png 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/a><p id=\"caption-attachment-69616\" class=\"wp-caption-text\">\u5716\u4e94 $$2s$$ \u548c $$2p$$ \u8ecc\u57df\u6df7\u6210\u5f62\u6210\u4e8c\u500b $$sp$$ \u8ecc\u57df\u7684\u793a\u610f\u5716\uff0c\u5716\u4e2d\u7070\u8272\u5340\u57df\u7684\u6ce2\u51fd\u6578\u70ba\u6b63\uff0c\u767d\u8272\u90e8\u5206\u70ba\u8ca0\u3002(\u4f86\u6e90:\u4f5c\u8005\u7e6a\u88fd)<\/p><\/div>\n<p><strong><span style=\"color: #000080;\">\u4e09\u3001\u4f3c\u6c2b\u539f\u5b50\u7684 $$2s$$ \u8ecc\u57df\uff0c$$Z$$ \u503c\u4e0d\u540c\u6642\u5c0d\u8ecc\u57df\u7684\u5f71\u97ff<\/span><\/strong><\/p>\n<p>\u7531\u4e0a\u8ff0\u63a8\u8ad6\u53ef\u77e5\uff0c\u4f3c\u6c2b\u539f\u5b50\u7684\u7bc0\u7403\u9762\u6703\u51fa\u73fe\u5728 $$r=(2a_0)\/Z$$ \u7684\u4f4d\u7f6e\uff0c\u5373 $$Z$$ \u503c\u6108\u5927\u6642\uff0c\u5373\u7bc0\u7403\u9762\u7684\u4f4d\u7f6e\u6703\u6108\u63a5\u8fd1\u539f\u5b50\u6838\u3002\u5716\u4e94\u70ba\u4f3c\u6c2b\u539f\u5b50 $$2s$$ \u8ecc\u57df\u7684\u5f91\u5411\u51fd\u6578 $$(4\\pi|\\varphi|^2r^2)$$ \u5c0d $$r\/a_0$$ \u4e4b\u4f5c\u5716\uff0c\u4e26\u6bd4\u8f03 $$Z=1$$\u3001$$2$$ \u548c $$4$$ \u5176\u5f91\u5411\u96fb\u5b50\u51fa\u73fe\u6a5f\u7387\u5206\u4f48\u7684\u7570\u540c\u3002<\/p>\n<p>\u7531\u5716\u4e2d\u53ef\u770b\u51fa\uff0c\u78ba\u5be6 $$Z$$ \u503c\u6108\u5927\uff0c\u7bc0\u7403\u9762\u7684\u4f4d\u7f6e\u6108\u63a5\u8fd1\u539f\u5b50\u6838\uff0c$$Z=2$$ \u6642\uff0c$$r=a_0$$\uff0c$$Z=4$$ \u6642 $$r=0.5a_0$$\uff0c\u5747\u5c0f\u65bc\u6c2b\u539f\u5b50\u7684 $$r=2a_0$$\uff0c\u800c\u4e14 $$Z$$ \u503c\u6108\u5927\uff0c\u5247 $$2s$$ \u7684\u5e73\u5747\u534a\u5f91\u4e5f\u6108\u5c0f\u3002\u7bc0\u7403\u9762\u7684\u4f4d\u7f6e\u6703\u6539\u8b8a\uff0c\u90a3\u7bc0\u7403\u9762\u5167\u96fb\u5b50\u51fa\u73fe\u7684\u6a5f\u7387\u6703\u4e0d\u4e00\u6a23\u55ce\uff1f\u7531\u4e0a\u8ff0\u5b9a\u7a4d\u5206\u7684\u8a08\u7b97\u904e\u7a0b\u4e2d\u53ef\u77e5\uff0c\u96d6\u7136\u7bc0\u7403\u9762\u7684\u4f4d\u7f6e\u6703\u8b8a\uff0c\u4f46\u662f\u5b9a\u7a4d\u5206\u7684\u7d50\u679c $$Z$$ \u53ca $$a_0$$ \u5747\u56e0\u7d04\u5206\u800c\u62b5\u6d88\uff0c\u56e0\u6b64\u5176\u6578\u503c\u4e0d\u8b8a\u4ecd\u820a\u50c5\u4f54\u6709 $$5.3\\%$$\uff0c\u4e26\u4e0d\u6703\u56e0\u70ba $$Z$$ \u503c\u800c\u6539\u8b8a\u3002<\/p>\n<div id=\"attachment_69617\" style=\"width: 610px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/wp-content\/uploads\/2016\/03\/69593_p6.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-69617\" class=\"wp-image-69617\" src=\"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/wp-content\/uploads\/2016\/03\/69593_p6.png\" alt=\"69593_p6\" width=\"600\" height=\"317\" srcset=\"http:\/\/localhost\/wp-content\/uploads\/2016\/03\/69593_p6.png 762w, http:\/\/localhost\/wp-content\/uploads\/2016\/03\/69593_p6-300x158.png 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/a><p id=\"caption-attachment-69617\" class=\"wp-caption-text\">\u5716\u516d \u4f3c\u6c2b\u539f\u5b50 $$2s$$ \u8ecc\u57df\u7684\u5f91\u5411\u51fd\u6578 $$(4\\pi|\\varphi|^2r^2)$$ \u5c0d $$r\/a_0$$ \u4f5c\u5716\uff0c\u6bd4\u8f03 $$Z=1$$\u3001$$2$$ \u548c $$4$$ \u5176\u5f91\u5411\u96fb\u5b50\u7684\u6a5f\u7387\u5206\u4f48\u7684\u7570\u540c\u3002(\u4f5c\u8005\u7e6a\u88fd)<\/p><\/div>\n<p><strong><span style=\"color: #000080;\">\u56db\u3001\u7d50\u8ad6<\/span><\/strong><\/p>\n<p>\u672c\u6587\u63a2\u8a0e\u4f3c\u6c2b\u539f\u5b50 $$2s$$ \u8ecc\u57df\u7684\u7279\u6027\uff0c\u96d6\u7136 $$1s$$ \u548c $$2s$$ \u8ecc\u57df\u5747\u70ba\u5713\u7403\u7684\u5f62\u72c0\uff0c\u5b83\u5011\u9664\u4e86\u5927\u5c0f\u4e0d\u540c\u4ee5\u5916\uff0c\u5f8c\u8005\u6709\u4e00\u500b\u7bc0\u7403\u9762\uff0c\u96fb\u5b50\u51fa\u73fe\u7684\u6a5f\u7387\u96a8\u5f91\u5411\u5448\u73fe\u4e0d\u5747\u52fb\u5206\u4f48\uff0c\u6703\u51fa\u73fe\u4e8c\u500b\u6975\u5927\u503c\uff0c\u5373\u6709\u4e8c\u500b\u6700\u53ef\u80fd\u534a\u5f91\uff0c\u548c $$1s$$ \u53ea\u6709\u4e00\u500b\u4e0d\u540c\uff0c\u7b2c\u4e8c\u500b\u6975\u5927\u503c\u7684\u6578\u503c\u7d04\u70ba\u7b2c\u4e00\u500b\u6975\u5927\u503c\u7684 $$4$$ \u500d\u3002\u518d\u8005\uff0c$$2s$$ \u8ecc\u57df\u7bc0\u7403\u9762\u4ee5\u5167\u96fb\u5b50\u51fa\u73fe\u7684\u6a5f\u7387\u7d04\u70ba $$5.3%$$\uff0c\u56e0\u6b64\u5728\u505a\u6df7\u6210\u8ecc\u57df\u6642\u4ee5 $$1s$$ \u7684\u6ce2\u51fd\u6578\u5716\u5f62\uff0c\u4f86\u985e\u6bd4 $$2s$$ \u8ecc\u57df\uff0c\u662f\u5c6c\u65bc\u7c21\u6f54\u6613\u61c2\u800c\u5408\u7406\u7684\u5047\u8a2d\u3002<\/p>\n<p>\u53e6\u5916\uff0c$$Z$$ \u503c\u6108\u5927\u6642\uff0c\u7bc0\u7403\u9762\u7684\u4f4d\u7f6e\u6703\u6108\u63a5\u8fd1\u539f\u5b50\u6838\uff0c$$2s$$ \u7684\u5e73\u5747\u534a\u5f91\u4e5f\u6703\u6108\u5c0f\u3002\u7bc0\u7403\u9762\u7684\u4f4d\u7f6e\u96d6\u6703\u6539\u8b8a\uff0c\u4f46\u5728\u7bc0\u7403\u9762\u4ee5\u5167\u96fb\u5b50\u51fa\u73fe\u7684\u6a5f\u7387\u537b\u4e0d\u6703\u6539\u8b8a\uff0c\u4ecd\u820a\u50c5\u4f54\u6709 $$5.3\\%$$\uff0c\u4e26\u4e0d\u6703\u56e0\u70ba $$Z$$ \u503c\u800c\u6539\u8b8a\u3002<\/p>\n<hr \/>\n<p><strong>\u53c3\u8003\u6587\u737b<\/strong><\/p>\n<ol>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Levine, I. N. (1988), <\/span><i><span style=\"font-weight: 400;\">Physical Chemistry<\/span><\/i><span style=\"font-weight: 400;\"> (3rd ed.). p622~632, McGRAW-HILL Book Company.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u8449\u540d\u5009\u3001\u5289\u5982\u71b9\u3001\u90b1\u667a\u5b8f\u3001\u5468\u82b3\u5983\u3001\u9673\u5efa\u83ef\u3001\u9673\u5049\u6c11\uff082013 \u5e74\uff09\u9ad8\u7d1a\u4e2d\u5b78\u5316\u5b78\u9078\u4fee\u4e0a\u518a\u3002\u5357\u4e00\u66f8\u5c40\u3002\u7b2c 19\uff5e33 \u9801\u3002<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Georgia State University. <\/span><a href=\"http:\/\/hyperphysics.phy-astr.gsu.edu\/hbase\/sphc.html\"><span style=\"font-weight: 400;\">http:\/\/hyperphysics.phy-astr.gsu.edu\/hbase\/sphc.html<\/span><\/a><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Is s-p mixing referring to hybridization or is it the mixing of one atoms s orbital with the other&#8217;s p orbital? &#8212; chemistry.stackexchange.com. <\/span><a href=\"http:\/\/chemistry.stackexchange.com\/questions\/26445\/is-s-p-mixing-referring-to-hybridization-or-is-it-the-mixing-of-one-atoms-s-orbi\"><span style=\"font-weight: 400;\">http:\/\/chemistry.stackexchange.com\/questions\/26445\/is-s-p-mixing-referring-to-hybridization-or-is-it-the-mixing-of-one-atoms-s-orbi<\/span><\/a><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">slide_44.jpg &#8212; CENGAGELeaning. http:\/\/images.slideplayer.com\/23\/6601420\/slides\/slide_44.jpg<\/span><\/li>\n<\/ol>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>\u4f3c\u6c2b\u539f\u5b502s\u8ecc\u57df\u7684\u89e3\u6790\uff08\u4e0b\uff09 Analytical 2s orbital of hydrogen like a&hellip;<\/p>\n","protected":false},"author":50,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[108,55,54],"tags":[9800,9799,9798,2582,1244,2767],"class_list":["post-69593","post","type-post","status-publish","format-standard","hentry","category-chemistry00","category-chemistry02-01","category-chemistry02","tag-atomic-orbital","tag-hybrid-orbital","tag-schrodinger-equation","tag-2582","tag-1244","tag-2767","loop-entry","cat-108","cat-55","cat-54","no-thumbnail"],"views":1300,"_links":{"self":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/69593","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/users\/50"}],"replies":[{"embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/comments?post=69593"}],"version-history":[{"count":1,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/69593\/revisions"}],"predecessor-version":[{"id":86110,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/69593\/revisions\/86110"}],"wp:attachment":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/media?parent=69593"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/categories?post=69593"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/tags?post=69593"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}