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So, it turns out that we have zero nodes that we're dealing with when we're talking about a 3 d orbital.
所以结果是,３ｄ轨道没有节点。
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It turns out after you do all the math, H it turns out to be delta H equals zero.
要等你做完所有的计算之后，才能知道结果，结果证明Δ
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So this, where we start at zero is not a node, is the first thing to point out.
零点不是节点，这是第一个要指出来的，当我们。
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- Just to give you another several fun facts -- and next week, once we've looked at your Problem Set "Zero Submissions," which, if you haven't filled it out yet, you'll see asks a few demographic questions, a few geek-type questions so we can get a sense of the students.
我给你们分享另外几个有趣的事实-,在下周，一旦我们看到你们的习题集上是,“零个意见书“，如果你们还没有填写那个习题集的话，你们可以问一些人数统计方面的问题，或一些古怪的问题，那样我们就能对学生有个初步的了解。
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You've got this policy tool of interest rates but once it hits zero you're out of business.
你拥有利率这一政策工具,但是一旦利率达到零点，你便失业了。
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Then it lands on your foot, because assuming the cannon is at zero height, the cannonball certainly comes out towards the enemy, but has no time of flight.
然后它就会落在你的脚边,因为假设大炮的高度为 0,炮弹笔直地出膛打向敌人,却没有时间飞行
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All right, we're-- well actually, I should say that better, we first check to see, is x 0 greater than or equal to zero, if it's not, then we come down here and we print something out, otherwise we run through a little loop to get the answer, and then we check it and we spit something out.
然后我们运行一个小循环,好了，我们现在来看看,如果x≥0或者x＜,我们看这儿,我们会输出一些内容,或者我们运行一个小循环来获取答案,然后我们检验一下，然后得到结果。
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So, the total work that we can get out must be zero, out of the whole sum of them.
因此，我们可以从这两个热机,得到的总功，一定是零。
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And the temperature scale that turns out to be well-defined and ends up giving us the concept of an absolute zero is the ideal gas thermometer.
比如理想气体温标,它有精确的定义,并能引出绝对零度的概念,今天我们就先来谈谈它。
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I want to point out that the zero energy is defined as when you have a naked proton -- where the electron has popped out -- that's what we've defined as zero energy up to this point when we're talking about single atoms.
我想指出，这里零点能的定义,是当我们只有一个裸露的质子,而没有电子时-,到目前为止对零点能一直采用这样的定义,当我们在讨论单个原子时。
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And the bond order you get out will either be, for example, zero, which would mean that you have no bond, 5 or you could have 1, a single bond, 1 . 5, a 1 and 1/2 bond, 2, a double bond, and so on.
你得到的键序要么是比如说是零，这意味着没有键，或者你会得到1，单键1。,1又二分之一键，2，一个双键，等等等等。
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So if we draw the 2 p orbital, what we just figured out was there should be zero radial nodes, so that's what we see here.
如果我们画一个２ｐ轨道，我们刚才知道了是没有径向节点的，我们在这可以看到。
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So the concept of an absolute zero, a temperature below which you just can't go, that's directly out of the scheme here, this linear interpolation scheme with these two reference points.
这就是绝对零度，这样，从线性插值的图像出发，我们得到了绝对零度的概念，你永远无法达到,低于绝对零度的状态。
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So that's why we have this zero point here, and just to point out again and again and again, it's not a radial node, it's just a point where we're starting our graph, because we're multiplying it by r equals zero.
这就是为什么在这里有个零点，我需要再三强调，这不是径向零点，他只是我们画图的起始处，因为我们用ｒ等于０乘以它。
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Yup, zero radial nodes. So, for a 2 p orbital, all the nodes actually turn out to be angular nodes.
没有，对于2p轨道，所有的节点都是角向节点。
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Therefore, from experiments, u is only a function of temperature for an ideal gas, H and therefore from these experiments, 0 we come out with delta H dH/dp is equal to zero.
因此，从实验可以得出,对于理想气体u只是温度的态函数，因此从这些实验中我们得到Δ,偏H偏p等于。
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It's well insulated. Heat is not going in or out adiabatic. q is equal to zero.
绝热性很好，热量不会变化,是绝热的，Q等于零。
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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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