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So, let's go ahead and define our variables here, they should be familiar to us. We have the mass, first of all, me m is equal to m e, so that's the electron mass.
让我们继续定义这些常数,我们对这些应该都很熟悉了，首先，我们有质量，m等于。
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If the atom is fixed mass, the electron is tiny, It must be the positives have all the mass.
如果是原子质量一定，电子很小，带正电荷的部分几乎占据了全部质量。
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And this spin is an intrinsic quality of the electron, it's a property that is intrinsic in all particles, just like we would say mass is intrinsic or charge is intrinsic.
自旋是电子的本征量，它是所有粒子的本征性质，就像我们说质量是本征的或者电荷是本征的。
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If you look at the electrical force, the force of electricity, proton and electron or something, it's not proportional to the mass of either object.
如果你考察电作用力,即电现象产生的力,质子啊,电子啊,或者其它什么东西,这种力不和物体的质量成比例
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And this is just a Newtonian expression of momentum, the product of the mass of the electron times its instant velocity.
这只是牛顿学上关于动量的表达，用电子质量,乘以瞬时速度。
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If a photon which has no mass can behave as a particle, does it follow then an electron which has mass can behave as a wave? 1920.
如果一个没有质量的光子,能像粒子一样运动，那么它能像一个,没有质量的电子那样以波的形式运动吗。
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If a proton which has no mass can behave as a particle does it follow that an electron which has mass can behave as a wave?
如果一个没质量的光子能像粒子一样,具有质量的电子能否,表现得像波一样吗？
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I mean, the atom has a tiny mass, too, but what we are saying is compared to the totaled atomic mass, the mass of the electron is tiny.
我的意思是，原子的质量也很小，但是我们说的是,和整个原子质量相比，电子的质量是很小的。
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Furthermore, the electron has a very tiny mass in comparison to that of the overall atom.
进一步，电子的质量很小,相比于整个原子。
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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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He goes back and redoes the calculation, only in this case he says what I am going to do is I am going to redo the calculation for helium, but I am going to consider not just the mass of the electron but the reduced mass of the system.
他回去重新做了计算，仅在这种情况下他才会说说我将要,为氦重做计算，但我认为,不只是电子的质量,还有系统质量的减少量。
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Square of the Planck constant times pi mass of the electron.
普朗克常量的平方,乘以π再乘电子的质量。
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But its mass is 1800 times that of the electron.
但是它的质量是电子的1800倍。
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He measured the charge to mass ratio of the electron.
他测量了电子的荷质比。
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It is the mass of the electron.
它指电子的质量。
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We give you a very rich table of constants that's got all kinds of things from the mass of the electron to the speed of light, and all this stuff to the requisite number of significant figures. And, in addition, you are allowed to take in one sheet of paper, 8 1/2 x 11 one sheet 8 1/2 x 11, you can write anything you want on it.
我们会给你一个很详实的常量表,将会涉及很多方面，从元素的电子,到光速，这些内容到有效数字的定量,还有，你们可以带来一张纸，纸的规格是，可以写任何你们想写的东西。
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If you look up really close, there is the elementary charge e.There is the mass of the electron.
如果你仔细找的话，会找到e表示的元电荷,也能找到电子的质量。
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This is going to have one-half mv squared where this is the mass of the electron.
有了电子的质量,就可以用1/2mv^2算出其动能。
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n So the velocity is given by this product of the quantum number n Planck constant 2 pi mass of the electron time the radius of the orbit, which itself is a function of n.
速度是量子数,普朗克常数2π乘以轨道半径的值,它自身也是n的函数。
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Again, m is the mass of the electron.
其中，m是指电子的质量。
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