So by parallel we mean - they're either both spin up remember that's our spin quantum number, that fourth quantum number.
所以我们意味着,它们都是自旋向上,记住我们的自旋量子数,是第四个量子数。
you put your name into a, you know, like a bucket or a spin wheel
你把你的名字放进一个像桶一样的东西或者滚筒里,
And this spin magnetic quantum number we abbreviate as m sub s, so that's to differentiate from m sub l.
这个自旋磁量子数我们把它简写成m下标s,以和m小标l有所区分。
And some of them might be spinning clockwise, in which case, according to the right-hand rule we would consider them spin-down.
而另一些电子则是在顺时针自旋,在这种情况下,根据右手定理,我们会以为它是在向下转。
As soon as I detect with what we'll call a condition if I'm touching the edge I have to essentially spin around 180 degrees and then continue looping.
一旦我检测到这种情况,当我碰到边界时,我需要转180°然后继续这一循环过程。
You do that eight billion times in your life and you can hit a good top spin backhand.
如果你把这个动作做上八十亿次,那你一定能打个漂亮的反手上旋球
We're going to be reading it with a theoretical spin.
我们将带着一种理论的倾向性来阅读本周的内容。
I find,myself,you spin the story one way and I follow the body.
故事这么讲的时候我认同了肉体理论。
To say it's natural for us to do so is not to say we engage in political life spontaneously and avidly, as you might say spiders spin webs or ants build anthills.
说我们本能地会那么做,并不代表,我们自然且贪婪地,忙于政治生活,就像蜘蛛结网,或蚂蚁筑蚁冢。
You spin this big wheel and it rotates for a while and then it stops at one number, but obviously a random number, because this wheel of fortune had all the numbers from zero to one hundred.
你转动那个大轮盘,它会旋转一会儿,最后停在一个数字上,显然是一个随机数,因为幸运轮盘可以指向,0到100的的任何数
Spin.
踢弧线球
And this spin is an intrinsic quality of the electron, it's a property that is intrinsic in all particles, just like we would say mass is intrinsic or charge is intrinsic.
自旋是电子的本征量,它是所有粒子的本征性质,就像我们说质量是本征的或者电荷是本征的。
So what that means is that we're limited in any atom to having two electrons per orbital, right, because for any orbital we can either have a spin up electron, a spin down electron, or both.
这意味着在一个原子内,每个轨道上可以有两个电子,对吧,因为对任何轨道,我们可以有自旋向上或者自选向下或者两者都有。
And that the fact that it split into two was telling them that there must be some new property to the electron, and what we call that now is either being spin up or spin down.
它能一分为二的,事实告诉我们,电子一定有某种新的性质,我们叫它自旋向上或者自旋向下。
But the reason that I like that analogy is that it points out a very important part of spin, and that's the idea that it's a description of the electron.
但我喜欢这个类比的原因是因为,它指出了自旋非常重要的一面,那就是它是一种电子的描述。
And, in any arbitrary crucible full of molten silver, half of them are going to be spin-up and half of them are going to be spin-down.
并且,在任一个浇满了熔银的坩埚中,银原子中的电子一半是向上转,另一半是向下转。
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。
1/2 And we have the spin quantum number 2 as plus 1/2 for electron one, -1/2 and minus 1/2 for the electron two.
我们有自旋量子数,对于电子,我们有自旋量子数。
When we have just a single bond in them molecule, you have all the free rotation you want, you can just spin it around, there's nothing keeping it in place.
当我们在分子力只有一个单键时,你可以随意旋转,你可以让它转起来,没有什么东西能固定住它。
So this one is spin-up plus a half, this is spin-down minus a half.
所以自旋向上是正二分之一,而自旋向下是负二分之一。
So you can see, if it's spinning on its own axis in this direction we'd call it spin up, where as this way it would be what we call spin down.
你们可以看到,如果它绕自己的轴朝这个方向转,我们就说它是自旋朝上,这个方向我们叫它自旋朝下。
But now, it has come to light that they are the ones that do get credit for first really coming up with this idea of a spin quantum number, and it's interesting to think about how the politics work in different discoveries, as well as the discoveries themselves.
但现在我们,知道他们是,最先想出自旋量子数,这个概念的人,看各种发现中的,政治学是十分有趣的,和发现本身一样有趣。
So we can completely describe an orbital with just using three quantum numbers, but we have this fourth quantum number that describes something about the electron that's required for now a complete description of the electron, and that's the idea of spin.
所以我们可以用3个,量子数完全刻画轨道,但我们有这第四个量子数,来完整的,描述电子,这就是自旋的概念。
So one goes spin-up and the other goes spin-down.
所以一个是自旋向上,另一个是自旋向下。
You spin the story another way,and I follow the personality.
你换一种方法来讲,我又认同了人格理论。
In contrast, if we're taking the wave function and describing it in terms of n, l, m sub l, and now also, the spin, what are we describing here?
相反,如果我们考虑一个波函数,然后用n,l,m小标l,还有自旋,我们描述的是什么?
Then they said, I'm going to ask you a question but before you answer the question I'm going to spin a wheel of fortune.
他们说,接下来我要问一个问题,但是在你们回答之前,我会转幸运轮盘
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