But we can also think when we're talking about wave function squared, what we're really talking about is the probability density, right, the probability in some volume.

波函数平方,的时候，我们说的，是概率密度，对吧,是在某些体积内的概率，但我们有办法。

麻省理工公开课 - 化学原理课程节选

The important point here is it's not just a probability, it's a density, so we know that it's a probability divided by volume.

它不是概率,而是概率密度，所以我们知道，它是密，除以体积，我们。

麻省理工公开课 - 化学原理课程节选

You make the volume infinitely large, the density of the gas infinitely small.

密度无限小，气体分子之间的相互作用。

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Ah, but density is mass over volume.

但密度是质量除以体积

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And if we go ahead and square that, then what we get is a probability density, and specifically it's the probability of finding an electron in a certain small defined volume away from the nucleus.

我们得到的是，一个概率密度，它是，在核子周围，某个很小的,特定区域,找到电子的概率,所以它是概率密度。

麻省理工公开课 - 化学原理课程节选

Probability density of finding an electron within that molecule in some given volume.

在分子内某空间找到,一个电子的概率密度。

麻省理工公开课 - 化学原理课程节选

That should make sense to us, because when we talk about a wave function, we're talking about a probability divided by a volume, because we're talking about a probability density.

因为我们说，波函数,是概率，除以体积,因为我们说的是，概率密度，如果我们用它。

麻省理工公开课 - 化学原理课程节选

So, what we can do to actually get a probability instead of a probability density that we're talking about is to take the wave function squared, which we know is probability density, and multiply it by the volume of that very, very thin spherical shell that we're talking about at distance r.

我们能得到一个概率,而不是概率密度的方法,就是取波函数的平方，也就是概率密度，然后把它乘以一个在ｒ处的,非常非常小的,壳层体积。

麻省理工公开课 - 化学原理课程节选

The reason in our radial probability distributions we start -- the reason, if you look at the zero point on the radius that we start at zero is because we're multiplying the probability density by some volume, and when we're not anywhere 0 from the nucleus, that volume is defined as zero.

在径向概率密度里，我们开始,如果你们看半径的零点，我们从零点开始,因为我们用概率密,度乘以体积,而当我们，在离核子很近的地方,体积是，所以我们会在这里。

麻省理工公开课 - 化学原理课程节选