According to U.N.officials, the attacks on civilians have been increasing and pouring over into surrounding areas.
VOA: standard.2009.08.27
One over two squared minus one over n squared 3 4 5 where n takes values three, four, five, six.
除以,2,的平方再减去1除以n的平方,将n赋值为。
And I know a lot of people over at NYU for N Tisch, and it's very highly competitive.
我认识很多人为了N Tisch去纽约大学,竞争相当激烈。
But,the U.N.Humanitarian Coordinator in Pakistan,Martin Mogwanja, says the crisis is far from over.
VOA: standard.2009.09.25
So instead of being equal to negative z squared, now we're equal to negative z effective squared times r h all over n squared.
这里不再等于-z的平方,现在我们等于-有效的z的平方,乘以RH除以n的平方。
Mitchell said he is not discouraged about his mission's recent setbacks, including acrimonious exchanges over a recent U.N.report alleging possible war crimes in last year's Gaza conflict, citing the example of his successful Northern Ireland peace efforts in the 1990s.
VOA: standard.2009.11.25
e The charge on the anion times minus e, so there is the minus e squared, 0R0 and divided by 4 pi epsilon zero r naught, because now I am evaluating this function at r naught, one minus one over n where n is the Born exponent.
阴离子的电荷乘以,因此会有-e的频繁,除以4πε,因为现在我用r圈评估这个函数,1-1/n,n是波恩指数。
Right. N is over here for counting from zero.
对的,从0开始计数,N到了这边。
If I want to move this stack here, I'm going to take a stack of size n minus 1 move it to the spare spot, now I can move the base disk over, and then I'm going to move that stack of size n minus 1 to there. That's literally what I did, OK?
如果我想移动这些圆盘,我先把从n-1个圆盘1,移动到多余的柱子上去,这样我就能把最底下的圆盘放到这儿了,然后再把从n-1个圆盘放到这儿来,这就是确切的我怎么做的对不对?
And that's going to be equal to negative z effective squared times r h over n squared.
有效的z的平方,乘以RH除以n的平方。
So we know that we can relate to z effective to the actual energy level of each of those orbitals, and we can do that using this equation here where it's negative z effective squared r h over n squared, we're going to see that again and again.
我们知道我们可以将有效电荷量与,每个轨道的实际能级联系起来,我们可以使用方程去解它,乘以RH除以n的平方,它等于负的有效电荷量的平方,我们将会一次又一次的看到它。
We're going to get to more complicated atoms eventually where we're going to have more than one electron in it, but when we're talking about a single electron atom, we know that the binding energy is equal to the negative of the Rydberg constant over n squared, so it's only depends on n.
我们以后会讲到,更加复杂的情况,那时候,不只有一个原子,但当我们讲,单个原子的时候,我们知道结合能,等于,负的Rydberg常数,除以n平方,所以它仅仅由n决定的。
n*pi/L It turns out it is n pi over l.
结果是。
So instead you'd have to maybe if you start with wavelength, go over there, and then figure out velocity and do something more like kinetic energy equals 1/2 n b squared to get there.
这时你要先从波长开始,到这,然后算出速度,然后像动能等于1/2nb平方得到这。
Times the square of the elementary Z charge times n squared over Z.
乘以元电荷的平方,乘以n的平方除以。
So the square root of n squared r e over r h.
这里的n值是什么呢?
So, if we just rearrange this equation, what we find is that z effective is equal to n squared times the ionization energy, IE all over the Rydberg constant and the square root of this.
我们可以发现有效的z等于n的平凡,乘以电离能除以里德堡常数,这些所有再开方,所以等于n乘以,除以RH整体的平方根。
So, we can get from these energy differences to frequency h by frequency is equal to r sub h over Planck's constant 1 times 1 over n final squared minus 1 over n initial squared.
所以我们通过不同能量,得到不同频率,频率等于R下标,除以普朗克常数乘以1除以n末的平方减去。
Bohr said that the angular momentum, mvr where n is this integer counter h over 2 pi.
波尔提及到角动量,是被量化了的,mvr,is,quantized,这里的n等于一个整数乘以h除以2π
Log n Log n, because at each stage I'm cutting the problem in half. So I start off with n then it's n n/2 n/4 n/8 over two n over four n over eight.
因为总共有多少层?,因为在每一层,我都是把问题分解成两半,因此以n开始,然后是。
So, it's negative Rydberg constant over n squared.
它等于负的Rydberg常数,除以n平方。
So kind of that strange cursive r, and our n final is 2, R so 1 over 2 squared minus n initial, so 1 over 3 squared.
因为我们可以在这里用到它,这个有点奇怪的花体。
Up here I have n over two operations of size two. Up here I've got n over four operations of size four.
最下面有n个规模为1的操作,接着上面有n/2个规模为2的操作,再上面有n/4个规模为4的操作。
s We are back over to E as a function of n, l, m and s, only we got there through this other torturous route.
我们回到将E作为函数n,l和,只要我们解决了这个烦人的路径。
We also know how to figure out the energy of this orbital, and we know how to figure out the energy using this formula here, which was the binding energy, -Rh which is negative r h, we can plug it in because n equals 1, so over 1 squared, and the actual energy is here.
我们知道如何算出,这个轨道的能级,而且我们知道如何,用这个公式,算出能量,也即是结合能,等于,我们把n等于1代进来,所以除以1的平方,这就是能量。
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