And we can simplify this expression as saying negative e squared over 4 pi, epsilon nought r squared. Epsilon nought is a constant, it's something you might see in physics as well.

也会遇到它,在这里，你可以就把它,理解为一个转换系数,我们需要做的。

麻省理工公开课 - 化学原理课程节选

I'm glad to hear that no one counted this r equal zero as a node.

我很高兴没听到有人把ｒ等于０这处也算作是一个节点。

麻省理工公开课 - 化学原理课程节选

We notice that the value of E at r naught is negative, as it should be. It's a negative number.

我们主要到在r圈时E的值为负，和它本来的值一致，是一个负数。

麻省理工公开课 - 固态化学导论课程节选

take the derivative of this, get the velocity vector and you notice his magnitude is a constant Whichever way you do it, you can then rewrite this as v square over r.

对这个式子求一次导,就能得到速度矢量,你会发现其模长是常数,不管用什么方法,加速度也可以写成 v^2 / r

耶鲁公开课 - 基础物理课程节选

R And we abbreviate that by calling it r, l by two quantum numbers, and an l as a function of little r, radius.

我们把它简称为，两个指定的量子数n和，它是半径小r的函数。

麻省理工公开课 - 化学原理课程节选

We can use the Coulomb force law to explain this where we can describe the force as a function of r.

我们用库伦定律解释它,力作为距离r的函数,让我们考虑一下。

麻省理工公开课 - 化学原理课程节选

So, for example, if I have a sodium ion over here, and I have a chloride ion over here, where the distance from center to center r I'm denoting as r, this is nucleus to nucleus separation.

所以，比如这有一个钠离子，和一个氯离子，它们中心与中心间的距离,我把它设为，这是原子核和原子和的间距。

麻省理工公开课 - 固态化学导论课程节选

That was Cartesian space. When I plot r as a distance out from the nucleus that is sort of our simple-minded planetary model. Now let's look at energy.

笛卡尔坐标系，当我用r表示,离原子核的距离时，那只是我们头脑中简单的,类似行星的模型，现在我们看一下能量问题。

麻省理工公开课 - 固态化学导论课程节选

l But now we need to talk about l and m as well. So now when we talk about a ground state in terms of wave function, we need to talk about the wave function of 1, 0, 0, and again, as a function of r, theta and phi.

但我们现在需要讨论,和m，现在当我们讨论,波函数的基态时，我们讨论的，是1，0，0的波函数，同样的，它也是r，theta和phi的函数。

麻省理工公开课 - 化学原理课程节选

If you want to write it as a vector equation, you want to write it as v square over r minus-- I want to say that it's pointing in the direction toward the center.

如果要写出矢量方程,就应该写成 -v^2 / r,也就是说,方向就向圆心

耶鲁公开课 - 基础物理课程节选

a perfectly spherical shell dr at some distance, thickness, d r, dr we talk about it as 4 pi r squared d r, so we just multiply that by the probability density.

在某个地方的完美球型壳层,厚度，我们把它叫做4πr平方，我们仅仅是把它,乘以概率密度。

麻省理工公开课 - 化学原理课程节选

So if, in fact, we want to describe a wave function, we know that we need to describe it in terms of all three quantum numbers, and also as a function of our three positional factors, which are r, the radius, phi plus the two angles, theta and phi.

实际上，我们想描述波函数，我们知道我们需要,用这三个量子数来描述它，同样，波函数还是,三个位置变量的函数，它们是r半径，还有两个角度theta和。

麻省理工公开课 - 化学原理课程节选