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We saw that the Bohr model was able to correlate the observations of Angstrom, which had been formulated by Balmer.
知道了波尔模型,可以和阿姆斯特朗的观察相吻合，这观察后来被巴尔末推导出来相证实。
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Bohr and Einstein were considered the top two physicists in the world through the first part of the 20th century.
波尔和爱因斯塔被认为,是世界上顶尖的两个物理学家,在整个20世纪前页。
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a0 This is equal to a sub nought for a hydrogen atom, and we remember that that's just our Bohr radius, which is . 5 2 9 angstroms.
它等于,我们记得，这就是波尔半径,也就是0，529埃，实际上。
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Sweden kind of disappears from the great power state when they're defeated by Peter the Great in--when is it?--1709.
在1709年被彼得大帝打败后,［此处指的是1709年的波尔塔瓦之战］
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Heisenberg gets his PhD with Sommerfeld in Munich and then goes to Copenhagen to work with Bohr.
在慕尼黑的索末菲门下取得了博士学位,然后又去了哥本哈根,和波尔一起工作。
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We ended the day with Bohr's model of the atom, which derived from the conceptualization of Rutherford.
那天课的结尾我们讲了从卢瑟福的概念中，衍生出来的波尔的原子模型。
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And what I am going to do today is go in some detail through the Bohr model, so let's do that.
今天我想具体介绍一下波尔的原子模型,那我们现在就开始吧。
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All right. The other thing I have to teach you is matter-energy interaction so that we can see how the Balmer series validates the Bohr model.
好的，我要教你们的里一个知识点是,物质能量的相互作用，我们可以见证,巴尔末线系是怎样证实波尔模型的。
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How does this support the Bohr model?
那这是如何支持波尔模型的呢？
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If you go to Denmark and you break a $100 bill, you're going to be given one of these, undoubtedly, the 500 kroner note, which is worth about $75-80, and it has Niels Bohr on it.
如果你去了丹麦，换了100美元，毫无疑问，你会得到其中一个像这样的，500挪威币，约为75-80美元，上面有波尔的头像。
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And Rutherford, who I have already described to you as being a little bit colorful in his language, backed up Bohr on this.
而卢瑟福，就是以前我跟你们提过的那个,语言丰富生动的人，在这一点上证实了波尔的理论。
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So if we superimpose our radial probability distribution onto the Bohr radius, we see it's much more complicated than just having a discreet radius.
为波尔半径,这其实比分立的轨道,要复杂很多，我们可以有任何的半径,但有些半径的概率。
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So Bohr was validated in very, very strong measure, but there were also some contrary data.
所以说波尔理论得到了强有力的证实，但其实也存在一些反面数据。
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He preserved the broad concept of energy levels but put in some fine structure.
他继承了波尔的广泛意义上的能级概念,但引进了一个新的结构。
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So anyways, Bohr ascended to the heights achieved only by Einstein.
无论如何，波尔到达了一个高度,仅仅只有爱因斯坦能到达。
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We can make some substitutions here using some of the derivation on the previous board which will give us the Planck constant divided by 2 pi mass of the electron times the Bohr radius.
在这里我们也可以,用我以前在黑板上写过的一些词来取代它,得到的是普朗克常数除以2π电子质量,再乘以波尔半径。
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This one is calculable by the Bohr model because lithium 2plus is a one electron system.
这个可以通过波尔模型计算而得到,因为锂2+是单电子系统。
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And remember, a nought, that's just the Bohr radius, that's all we need to worry about.
记住ａ０就是波尔半径，我们要记住这点。
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Pauli was an Austrian who did his PhD under Sommerfeld in Munich and then post-doced with Max Born in Gottingen and also with Niels Bohr in Copenhagen.
泡利是个奥地利人,他在慕尼黑读博的时候导师是索末菲,他后来从医的时候,在哥廷根和曼克斯·波恩共事,在哥本哈根的时候和尼根斯·波尔共事。
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Here's Bohr with Heisenberg, and we'll talk about Heisenberg's uncertainty principle.
这是波尔和海森堡，我们将讨论海森堡的不确定性原理。
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Bohr says that the energy is quantized through its angular momentum.
波尔说能量通过角动量,被量子化。
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Even Sweden, 100 at the time of the Battle of Poltava. Forget it.
在波尔塔瓦战役时,瑞典也有十万军队
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The Bohr radius, for hydrogen is 0.529 angstroms.
波尔半径，对于氢原子来说是0。529埃。
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Capstone of Bohr's work on the Balmer formula.
波尔的而工作重点是巴尔末公式。
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Bohr says, no, that is not hydrogen.
波尔说，不，那不是氢。
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And basically, what that means is you can actually find an electron anywhere going away from the nucleus, a0 but you're most likely to find that you have the highest probability at a distance of a sub nought, or the Bohr radius.
它说明，虽然你可以,在任何地方,找到电子，但在距离为,或者波尔半径的地方,找到电子,的概率最大，我说过。
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These are the Bohr postulates.
这包含了波尔的几个假设。
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Here's a young Niels Bohr.
这是年轻的波尔。
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We have a Bohr model, which is quantitative.
我们学了数量上的波尔模型。
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So, Niels had a Ph.D.
所以波尔得到了一个博士学位。
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