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If, in fact, a gold nucleus was this size here, we would need to use another lecture hall in order to find a place to put this nucleus right here.
那么这个实验就太诡异了，所以我们决定,把距离压缩一下，我们要考虑到这一点。
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So, sometimes people get confused when they're solving problems and call the amplitude this distance all the way from the max to the min but it's only half of that because we're only going back to the average level.
解题的时候会弄错，把这个从,最大值到最小值的距离,叫做幅值，但实际上,只有它的一半,只是它和平均值的差距。
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They got some number that looks like for the wavelength they got the distance from here to Chicago, and they are going to drag that through the whole calculation.
他们得到一些数,看上去像是波长，他们得到这里,到芝加哥的距离，他们把那个值,用到整个计算中。
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You hook one end of the spring to a wall and you pull it from rest by some amount and you attach the one kilogram mass to it.
你把弹簧的一端固定在墙上,然后拉伸一段距离,接着你把 1 千克物体固定在上面
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So, for example, if I have a sodium ion over here, and I have a chloride ion over here, where the distance from center to center r I'm denoting as r, this is nucleus to nucleus separation.
所以，比如这有一个钠离子，和一个氯离子，它们中心与中心间的距离,我把它设为，这是原子核和原子和的间距。
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And then we have r, which is simply the distance between the two charges.
和两者距离的成负相关，我们把这种表述简化，成负e的平方除以4π
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But instead in this chemistry course, I will just tell you the solutions to differential equations. And what we can do is we can start with some initial value of r, and here I write r being ten angstroms. That's a good approximation when we're talking about atoms because that's about the size of and atom.
但在这个课里，我会直接，告诉你们微分方程的解,我们可以给距离r一个初始值,我这里把r取10埃,当我们讨论原子时,这是一个很好的近似,因为原子的尺寸。
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So, we can just plug it in. Speed is equal to the distance traveled, which is lambda over the time elapsed, which is 1 over nu. so, we can re-write that as speed is equal to lambda nu times nu, and it turns out typically this is reported in meters per second or nanometers per second.
经过的距离和所花的时间,我们把它们带进来,速度等于经过的距离,也即是lambda除以,所花的时间,通常它的单位,是米每秒或者纳米每秒。
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