So, we should be able to look at different types of waves and be able to figure out something about both their frequency and their wavelength and know the relationship between the two.

我们可以看到,不同的波并从它们的,波长和频率中,获得一些信息，我们知道。

麻省理工公开课 - 化学原理课程节选

So, would it take, for example, the same amount of time as the frequency?

它需要，比如说,和频率一样的时间吗？

麻省理工公开课 - 化学原理课程节选

Similarly, just as we have symbols for the presence of sound and its length, we have symbols that represent the absence of sound.

类似的,既然我们有符号,来表示声音的频率和长度,我们也有表示静音的符号

耶鲁公开课 - 聆听音乐课程节选

The time period and frequency are reciprocals.

周期和频率互为倒数

耶鲁公开课 - 基础物理课程节选

And that's just a way of reminding you that we want to think carefully, but what are the things we're trying to measure when we talk about complexity here? It's both the size of the thing and how often are we going to use it? And there are some trade offs, but I still haven't said how I'm going to get an n log n sorting algorithm, and that's what I want to do today.

这只是在提醒你们我们要仔细的思考问题,但是当我们在讨论复杂性的时候,我们到底要衡量哪些东西？,是列表的大小和对其进行查找的频率吗？,这里面临一些取舍,但是我还没有说明,怎样得到一个n，log，n复杂度的排序算法,并且这是我今天想要讲的内容。

麻省理工公开课 - 计算机科学及编程导论课程节选

Alright. So, since we have these terms defined, we know the frequency and the wavelength, it turns out we can also think about the speed of the wave, and specifically of a light wave, and speed and is just equal to the distance that's traveled divided by the time the elapsed.

好了，我们已经定义了，这些术语，我们知道了，频率和波长，现在可以来考虑,波的速度了，特别是光波的速度，速度等于它走过的距离,除以所用的时间，因为我们。

麻省理工公开课 - 化学原理课程节选

So, that was frequency with kinetic energy.

这是频率和动能。

麻省理工公开课 - 化学原理课程节选

What Einstein then clarified for us was that we could also be talking about energies, and he described the relationship between frequency and energy that they're proportional, if you want to know the energy, you just multiply the frequency by Planck's constant.

爱因斯坦阐述的是我们,也可以从能量的角度来谈论，他描述频率和能量之间的关系,是成比例的，如果希望知道能量值，你用普朗克常数乘以频率就可以了。

麻省理工公开课 - 化学原理课程节选

And, as you know, Einstein made many, many, many very important contributions to science and relativity, but he called this his one single most important contribution to science the relationship between energy and frequency and the idea of photons.

于这些波包里，你们也知道，爱因斯坦在科学和相对论上,做出了非常非常非常多的贡献,但它把这个叫做他对科学,最重要的贡献，就是能量和,频率之间的关系以及光子的概念。

麻省理工公开课 - 化学原理课程节选

So that's the important take-away message from this slide. If we think about these different types of lights, microwave light, if it's absorbed by a molecule, is a sufficient amount of frequency and energy to get those molecules to rotate. That, of course, generates heat, so that's how your microwaves work.

重要的信息，如果我们看看,这些不同种类的光，微波,如果被分子吸收，它的频率和能量可以,使分子转动,这当然的，会产生热量,这就是你们微波炉的工作原理。

麻省理工公开课 - 化学原理课程节选

It has to do with frequency ratios that we'll go in to a little bit next time.

它和频率比有关,下次我们再详细介绍

耶鲁公开课 - 聆听音乐课程节选

So, if we start instead with talking about the energy levels, we can relate these to frequency, because we already said that frequency is related to, or it's equal to the initial energy level here minus the final energy level there over Planck's constant to get us to frequency.

如果我们从讨论能级开始，我们可以联系到频率上,因为我们说过频率和能量相关,或者说等于初始能量,减去末态能量除以普朗克常数。

麻省理工公开课 - 化学原理课程节选

So, it's up on this screen here now, so we'll work on the other one. If you can identify which of these statements is correct based on what you know about the relationship between frequency and wavelength and also just looking at the waves.

它们之间的关系,现在在大屏幕上了,鉴于你们知道,频率和波长的关系,看到这些波你们来,判断下这些说法是否正确。

麻省理工公开课 - 化学原理课程节选

So, for example, here we're showing rubidium and potassium and sodium plotted where we're plotting the frequency -- that's the frequency of that light that's coming into the metal versus the kinetic energy of the electron that's ejected from the surface of the metal.

让大家看来都是可以理解的事情,就是把不同金属的观测结果,画到一张图里面来，例如这里,我们展示的是钠，钾,铷的频率-这是照射金属的光的频率,和金属表面出射电子动能的关系。

麻省理工公开课 - 化学原理课程节选

we start high and go low, we're dealing with emission where we have excess energy that the electron's giving off, and that energy is going to be equal the energy of the photon that is released and, of course, through our equations we know how to get from energy to frequency or to wavelength of the photon.

当我们从高到低时，我们说的,是发射,电子有多余的能量给出，这个能量等于，发出,光子的能量，当然我们可以通过方程,从能量知道，光子的频率，和波长。

麻省理工公开课 - 化学原理课程节选

So, one thing they did, because it was so easy to measure kinetic energy of electrons, is plot the frequency of the light against the kinetic energy of the electron that's coming off here. And in your notes and on these slides here, just for your reference, I'm just pointing out what's going to be predicted from classical physics.

他们做的其中一件事,因为测量电子动能是很容易的，就是画出光的频率,和出射电子动能之间的关系,在讲义的这里，仅仅是,为了做个比较，我要指出，经典物理所给出的预测,这个不作为对你们的要求。

麻省理工公开课 - 化学原理课程节选