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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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In the early 1850s, Angstrom, up at the University of Uppsala in Sweden was conducting experiments on atomic hydrogen.
在19世纪50年代的头几年，阿姆斯特朗，那时还在瑞典的乌普萨拉大学里,做了一个有关氢原子的实验。
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But it turns out the probability is only significant within one angstrom.
但概率主要,分布在一个埃范围内。
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It is not an SI unit because it is not a multiple of 10 to the 3rd, but I like the angstrom.
它不是国际制单位，因为它不是,10的3次方进制，但我还是喜欢这个单位。
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And so they lay. 1853. Let's get Angstrom up on the board here since he did the work.
因此在183年这些就存在了，让我们把阿姆斯特朗,写到黑板上来，鉴于他做的这个工作。
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I like the angstrom because atomic dimensions are conveniently measured by angstroms.
我喜，埃，因为原子大小的东西,用埃来度量更方便。
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Interatomic spacing is also on the order of about an angstrom.
原子内部间距,差不多也是一埃。
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Gee, I wonder if I could come up with a set of transitions occurring inside atomic hydrogen Just right match that what Angstrom measured back in 1853.
嘿！我想知道我是否可以想出,发生在氢原子内的,一系列的跃迁，正好符合,阿姆斯特朗在1853年测得的东西。
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If I take lambda equals one angstrom, hc/lambda go through hc over lambda, you will discover that the energy of a photon with one angstrom as its wavelength is on the order of 12,400 electron volts.
如果我让波长等于一埃，能量为，你将发现光子的能量,当其波长为1埃的时候,相当于12，400电子伏特。
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We know that this dimension is roughly one angstrom unit, right?
我们知道,它的尺寸大概是一埃，对吗？
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Round numbers, this is one angstrom.
取整数是一埃。
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This is what's called the Bohr radius, and we'll explain - hopefully we'll get to it today where this Bohr radius name comes from, but for now what you need to know is just that it's a constant, just treat it like a constant, and it turns out to be equal to or about 1/2 an angstrom.
它叫做玻尔半径，我们后面会解释,希望我们今天可以讲到,波尔半径这个名称的由来，但现在你们只要记住,它是一个常数，只要把它当做一个常数对待，它等于,或者是1/2埃。
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I like the angstrom. It is 10 to the minus 10 meters.
我喜欢单位，埃，它等于10的负10次方米。
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And so I went through the math on this and said suppose I wanted to be really sloppy and I wanted to say if the delta X, the uncertainty in position is on the order of one angstrom.
我算完它,并说假如我想很草率,并且我想说如果x的增量，即位置的不确定度,相当于一埃。
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They took a crystal, this is a single crystal of nickel that has regular planes of atoms, and those planes are spaced on the order of an angstrom or less apart, and they irradiated this with x-rays.
他们取了个晶体,一个具有规则原子平面的，镍晶体,这些面间距差不多也是一埃或者更少，它们放射出X射线。
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