We will always have r equals zero in these radial probability distribution graphs, and we can think about why that is.
在这些径向概率分布图里,总有r等于0处,我们可以考虑为什么会这样。
So you might ask well, why are we using this model if it clearly doesn't take into account quantum mechanics?
那么大家可能会问为什么我们要用这个,显然没有考虑量子力学的模型呢?
But we will also use judgment and I'm going to appeal to the T.A.'s to help me on judging the grading.
但是我们也会考虑大家平时表现,我会参考助教的意见,来给你们评分
And I'll also remind you, and we're going to see this in the next example, we talked about looking at the worst case behavior. In these cases there's no best case worst case, it's just doing one computation.
我还要提醒大家的就是,我们也会在下一个例子里发现者一点,我们谈到了要去考虑最坏的情况,在下面这些例子里,没有好情况坏情况之分,就只是一次运算。
We'll come back to that next time, but right now we're competing in quantities.
我们以后才会讲到这一点的,现在只考虑产量的竞争
We were looking at structuring the schedule easily 2 to 3 months in advance.
我们会提前两到三个月,考虑日程的安排。
We think about new ways of providing education.
我们会考虑新的方式,提供教育。
Well, we'll revisit that.
我们待会再来考虑这个问题。
And, given that, we might say, better to not think about them.
考虑到这点,我们可能会说,最好还是不要去想它们。
We also looked at Omega Notation.
我们也会考虑符号Ω
However, we are also concerned about well-being and health.
不过,我们同样会考虑到健康。
We'll talk about cells and how they work, how cells in different parts of the body are different, why, and how they contribute to tissues at a very sort of simple level so that you can understand this as we start thinking about using cells for engineering purposes.
我们将会谈论细胞,它们如何工作,身体不同的部位细胞有怎样的不同,为什么它们有所不同,以及这些细胞如何,以十分简单的方式形成组织,这样当我们开始考虑用细胞,来满足工程目的时,你会更容易理解
One way to think about it, if we want to use a classical analogy, which often helps to give us an idea of what's going on, is the spin of an electron, we can picture it rotating on its own axis.
如果我们用一个,经典的比喻来考虑它的话,这经常会帮助我们建立起一些概念,就是我们可以把电子的,自旋想象是它绕着轴自转。
So, that kind of stuff is something to look at but I'd be very careful in buying equities.
所以这样的投资工具就是我们所要考虑的,但我对资产板块的投资会比较小心。
If we think about bringing in those last two carbons, what you can see is that for every carbon, two of its hybrid orbitals are being used to bond to other carbons.
如果我们考虑引入最后两个碳原子,你会看到的是对于每个碳原子,其中的两个杂化轨道,和另外的碳原子成键。
If you think about what happens when we go from hydrogen to helium, now instead of one electron, we have to describe two electrons, so now we have six position variables that we need to plug into our Schrodinger equation.
如果你们考虑,当我们从氢到氦会发生些什么,现在我们不是要描述一个电子,我们将要描述两个电子,所有我们现在将有6个位置变量,需要加入至薛定谔方程。
What they did it--they said, we'll ask you the question and think about it, but while you're thinking about it--don't answer yet -we're going to spin this wheel of fortune.
实验是怎么进行的呢,他们说,我们会问你们问题,考虑一下,先不要回答,我们会转这个幸运轮盘
So we can have our two hydrogen atoms come in here, and what we will find is - now that we have all of our orbitals filled up -- so thinking about what this angle is here, would you expect it to be less than or greater than what we saw for ammonia before?
我们在这里有两个氢原子,我们会发现,现在我们所有的轨道都填满了-,考虑一下这里的角度,你们觉得它比在氨中看到的,要大还是要小?
A kind of consequence of this is if we're thinking about a multi-electron atom, which we'll get to in a minute where electrons can shield each other from the pull of the nucleus, we're going to say that the electrons in the s orbitals are actually the least shielded.
这样的一个后果就是,如果我们考虑一个多电子原子,我们等会就会讨论到它,电子会互相,屏蔽原子核的吸引,我们说s轨道电子,更不容易被屏蔽。
And against that, we could have the pessimists who say, "The negative side especially once we throw in the negative interaction effects, the negative side is so great that " that it would be better never to have been born at all."
而与此相反,可能有悲观主义者说,“消极的方面,特别是我们一旦把负面相互影响考虑进去,消极的方面就会变得,让我们觉得还是压根别出生的好“
We can think about why that would be.
我们可以考虑一下为什么会是那样。
Now we can think about the fourth period, and the fourth period is where we start to run into some exceptions, so this is where things get a teeny bit more complicated, but you just need to remember the exceptions and then you should be OK, no matter what you're asked to write.
现在我们可以考虑第四周期,而且在第四周期,我们会遇上一些特例,所以事情有,一点复杂,但是你只需要记住,这些特例然后就没有问题了,无论你被要求写什么。
I mean unlike a lot of the courses here and at universities, we really do take a much more individualistic approach and that is to say at the end of the day do we consider both upward trending, both your initial experience and also how you approach the course's projects throughout the course of the semester.
我不希望像其他很多课程或在大学中,我们将会采取更个性的方法,也就是说在当天结束前,我们会同时考虑课程进度,考虑你开始的情况,以及如何进行整个学期的学习,也包括如何通过这门课,来帮助你们完成本学期的课程。
It makes a lot of sense when we look at it energetically, because if we think about a 1 s core electron, that's going to be held really, really tightly to the nucleus.
从能量的观点来看这是非常合理的,因为如果我们考虑一下,1,s,芯电子,它会被原子核束缚得非常非常紧。
We have two lone pairs, so if we thought about what the bonds were everywhere, 5° it would be 109 . 5, but it's bent because we're only looking at the bonds, we're not counting the Lewis structures in naming our geometry, but they do affect the angles.
我们有两个孤对,所以如果我们考虑它会成怎样的键时,应该成109。,但它是折线型,因为我们只考虑成键,在几何形状里不考虑Lewis结构,但它会影响角度。
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