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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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A lot of times we talk about these kind of distances either in nanometers or in angstroms so we can say this is 70 angstroms.
我们在讨论此类的距离时,很多都用到纳米和埃米的单位,所以它的波长是70埃米。
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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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In addition, if we compare this to the diameter of an atom, which is on the order of somewhere between one and ten angstroms, now we're seeing that, in fact, this wavelength is significantly larger than its environment.
另外，如果我们把它,与原子的直径相比，原子直径近似1到10埃米之间,我们现在来看看，事实上，这个波长比它所处的环境大很多。
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Anywhere from plus 0.5 to minus 0.5 angstroms.
从负0。5埃到正0。5埃的任何地方。
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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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So, then we'll get to turn to a new kind of mechanics or quantum mechanics, which will in fact be able to describe what's happening on this very, very small size scale -- so on the atomic size scale on the order of nanometers or angstroms, very small particles.
然后我们要讲到一种,新的力学--量子力学,它可以解释,发生在很小尺度,大约是原子尺寸大小,也就是纳米或埃的量级。
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So, let's say we start off at the distance being ten angstroms. We can plug that into this differential equation that we'll have and solve it and what we find out is that r actually goes to zero at a time that's equal to 10 to the negative 10 seconds.
也就大约是这么多,所以我们取初始值10埃,我们把它代入到,这个微分方程解它,可以发现，r在10的,负10次方秒内就衰减到零了。
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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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