She says being a mom is hard. "Because you have to get up every two hours in the middle of the night, and you can't go out and say 'I am going to buy this for myself.'
VOA: special.2010.05.13
And when you solved the relativistic form of the Schrodinger equation, what you end up with is that you can have two possible values for the magnetic spin quantum number.
当你们解相对论形式的,薛定谔方程,你们最后会得到两个,可能的自旋磁量子数的值。
and then you can either... and then you have the chance to gain other one to two points extra.
然后你可以要么……然后你就有机会再额外得到一到两分。
You can have two copies of my personality.
可以拷贝两份我的人格。
We can say that a nonpolar molecule you can have as a result of two different conditions.
所以你可以说非极性分子,有两种构成方式。
So this is just the idea that the most electrons that you can have in a single orbital is two electrons.
这个观点是在一个单个的轨道中,最多容纳两个电子。
You can't just say it once. You have to try to fill that void by saying it two times and by invoking his father a third time.
你不能只讲一次,你必须说第二遍,并且第三次提到迪安的父亲,来填补中间的空隙。
Once you have a difference that occurs, two cells are difference, those differences can propagate as the cells continue to divide.
一旦产生差异,产生两个不同的细胞,这些差异会伴随着,细胞分裂过程代代相传
Well, I now have two blocks interlocked and you can pretty much guess what this is gonna do.
有两个相互联系的块,你能很容易地猜到这是做什么用的。
But I can add to this some number, like 96, that'll still have the property that if you take two derivatives, you're going to get the same acceleration.
但是我可以在后面加上某个数,比如96,经过两次求导你仍会得到,同样的加速度
I showed you a one-year Treasury bill rate for right now-- that's not right now, but you can see I have a one-year and a two-year Treasury bill rate.
一年期国债利率的期限结构图,现在没有了,但你们看过了,一年期和两年期的国债利率
OK, great. So, most of you recognize that there are four different possibilities of there's four different electrons that can have those two quantum numbers.
K,大部分都认为,有4个不同的可能,有四个不同的电子可以有,这两个量子数。
So, if we think about the bonds that are forming -- oh I see our TAs are here, so you can start handing them out, because we have two minutes left to go.
如果我们考虑所成的键-,我看到助教们都来了,你们可以开始发讲义了,我们还有两分钟就下课了。
So you can see there's this radial part here, and you have the angular part, you can combine the two parts to get the total wave function.
你们可以看到,这是径向部分,这是角向部分,把这两部分结合到一起,就是总的波函数。
One thing that I want to mention that is really important is once you have double bonds, what happens between those two atoms in the molecule is they can no longer rotate in relation to each other.
我要提醒你们的非常重要的一点事,一旦有了双键,分子中的两个原子,就不能相对旋转了。
How many different orbitals can you have that have those two quantum numbers in them?
有多少个轨道是,含有这两个量子数的?
So let's go to a second clicker question here and try one more. So why don't you tell me how many possible orbitals you can have in a single atom that have the following two quantum numbers?
让我们来看下一道题目,你们来告诉我,有多少个可能的轨道,含有这些量子数呢?
There are two things: you can have a cash account with them you put money into the cash account and you haven't bought shares with it yet; it's just sitting--it's like in a bank.
这里有两种情况,一种是你有现金账户,你将钱存进现金账户,但还没有买股票,仅仅是做储蓄,就像存在银行
That's the huge force that we're talking about in terms of making a bond stable, but there are also repulsive forces, so you can imagine we're going to have electron-electron repulsion between the two electrons if we're bringing them closer together.
正是这个非常强的力,使得我们所讨论的这个键能够稳定存在,但是其中还有排斥力存在,大家可以想象一下,我们会有电子与电子之间的排斥力,如果让它们离得更近。
So you can see here in this slide we have the atomic orbitals for the two hydrogen atoms, each of them have one electron in them, hydrogen has one electron in a 1 s orbital.
从这个幻灯片你们可以看到我们,有这两个氢原子的原子轨道,每个上面有个电子,氢原子上面有一个电子在1s轨道上。
You can easily check by taking two derivatives that this particle does have the acceleration a.
你可以很容易地通过求两次导来验证,这个质点的加速度确实为 a
And I can find the orientation of the arrow You have the option of either working with the two components of A or with the arrow.
我也可以求得矢量的方向,你可以选择使用,A 的两个分量或者矢量图来计算
If you go and work that out, log2 log of two and you have two log two, by math you can show that for the line r series m 2*log2 is equal to two natural log of two, which is 1 1.386 which is greater than one.
如果你把它计算出来,这二者的对数,你会得到2个,通过数学,你会得到第r列,第m个值,等于,也就是1。386,这大于。
You can see that we have two unpaired electrons in this molecule here one in the pi 2 p x star, and one in the pi 2 p y star orbital.
你们可以看到我们这个,分子力有两个未配对电子,一个在π2px星,一个在π2py星轨道。
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