WEBVTT 00:00:06.842 --> 00:00:11.668 Many of the inanimate objects around you probably seem perfectly still. 00:00:11.668 --> 00:00:15.663 But look deep into the atomic structure of any of them, 00:00:15.663 --> 00:00:18.333 and you'll see a world in constant flux. 00:00:18.333 --> 00:00:19.138 Stretching, 00:00:19.138 --> 00:00:20.067 contracting, 00:00:20.067 --> 00:00:21.002 springing, 00:00:21.002 --> 00:00:21.977 jittering, 00:00:21.977 --> 00:00:25.158 drifting atoms everywhere. 00:00:25.158 --> 00:00:28.355 And though that movement may seem chaotic, it's not random. 00:00:28.355 --> 00:00:29.890 Atoms that are bonded together, 00:00:29.890 --> 00:00:32.269 and that describes almost all substances, 00:00:32.269 --> 00:00:34.881 move according to a set of principles. 00:00:34.881 --> 00:00:39.776 For example, take molecules, atoms held together by covalent bonds. 00:00:39.776 --> 00:00:42.322 There are three basic ways molecules can move: 00:00:42.322 --> 00:00:43.214 rotation, 00:00:43.214 --> 00:00:44.337 translation, 00:00:44.337 --> 00:00:45.886 and vibration. 00:00:45.886 --> 00:00:49.038 Rotation and translation move a molecule in space 00:00:49.038 --> 00:00:52.166 while its atoms stay the same distance apart. 00:00:52.166 --> 00:00:55.608 Vibration, on the other hand, changes those distances, 00:00:55.608 --> 00:00:58.250 actually altering the molecule's shape. 00:00:58.250 --> 00:01:02.688 For any molecule, you can count up the number of different ways it can move. 00:01:02.688 --> 00:01:05.304 That corresponds to its degrees of freedom, 00:01:05.304 --> 00:01:06.941 which in the context of mechanics 00:01:06.941 --> 00:01:10.450 basically means the number of variables we need to take into account 00:01:10.450 --> 00:01:13.345 to understand the full system. 00:01:13.345 --> 00:01:18.019 Three-dimensional space is defined by x, y, and z axes. 00:01:18.019 --> 00:01:23.034 Translation allows the molecule to move in the direction of any of them. 00:01:23.034 --> 00:01:25.098 That's three degrees of freedom. 00:01:25.098 --> 00:01:28.758 It can also rotate around any of these three axes. 00:01:28.758 --> 00:01:29.990 That's three more, 00:01:29.990 --> 00:01:33.042 unless it's a linear molecule, like carbon dioxide. 00:01:33.042 --> 00:01:37.457 There, one of the rotations just spins the molecule around its own axis, 00:01:37.457 --> 00:01:41.607 which doesn't count because it doesn't change the position of the atoms. 00:01:41.607 --> 00:01:44.596 Vibration is where it gets a bit tricky. 00:01:44.596 --> 00:01:46.979 Let's take a simple molecule, like hydrogen. 00:01:46.979 --> 00:01:51.682 The length of the bond that holds the two atoms together is constantly changing 00:01:51.682 --> 00:01:54.479 as if the atoms were connected by a spring. 00:01:54.479 --> 00:01:58.985 That change in distance is tiny, less than a billionth of a meter. 00:01:58.985 --> 00:02:03.791 The more atoms and bonds a molecule has, the more vibrational modes. 00:02:03.791 --> 00:02:06.816 For example, a water molecule has three atoms: 00:02:06.816 --> 00:02:10.164 one oxygen and two hydrogens, and two bonds. 00:02:10.164 --> 00:02:12.476 That gives it three modes of vibration: 00:02:12.476 --> 00:02:13.824 symmetric stretching, 00:02:13.824 --> 00:02:15.408 asymmetric stretching, 00:02:15.408 --> 00:02:16.896 and bending. 00:02:16.896 --> 00:02:21.142 More complicated molecules have even fancier vibrational modes, 00:02:21.142 --> 00:02:22.426 like rocking, 00:02:22.426 --> 00:02:23.607 wagging, 00:02:23.607 --> 00:02:25.195 and twisting. 00:02:25.195 --> 00:02:29.854 If you know how many atoms a molecule has, you can count its vibrational modes. 00:02:29.854 --> 00:02:32.011 Start with the total degrees of freedom, 00:02:32.011 --> 00:02:35.427 which is three times the number of atoms in the molecule. 00:02:35.427 --> 00:02:38.837 That's because each atom can move in three different directions. 00:02:38.837 --> 00:02:41.393 Three of the total correspond to translation 00:02:41.393 --> 00:02:44.633 when all the atoms are going in the same direction. 00:02:44.633 --> 00:02:49.430 And three, or two for linear molecules, correspond to rotations. 00:02:49.430 --> 00:02:53.999 All the rest, 3N-6 or 3N-5 for linear molecules, 00:02:53.999 --> 00:02:56.127 are vibrations. 00:02:56.127 --> 00:02:57.961 So what's causing all this motion? 00:02:57.961 --> 00:03:02.053 Molecules move because they absorb energy from their surroundings, 00:03:02.053 --> 00:03:05.748 mainly in the form of heat or electromagnetic radiation. 00:03:05.748 --> 00:03:08.355 When this energy gets transferred to the molecules, 00:03:08.355 --> 00:03:09.415 they vibrate, 00:03:09.415 --> 00:03:10.221 rotate, 00:03:10.221 --> 00:03:12.507 or translate faster. 00:03:12.507 --> 00:03:16.534 Faster motion increases the kinetic energy of the molecules and atoms. 00:03:16.534 --> 00:03:20.792 We define this as an increase in temperature and thermal energy. 00:03:20.792 --> 00:03:25.445 This is the phenomenon your microwave oven uses to heat your food. 00:03:25.445 --> 00:03:29.247 The oven emits microwave radiation, which is absorbed by the molecules, 00:03:29.247 --> 00:03:31.723 especially those of water. 00:03:31.723 --> 00:03:33.659 They move around faster and faster, 00:03:33.659 --> 00:03:38.101 bumping into each other and increasing the food's temperature and thermal energy. 00:03:38.101 --> 00:03:40.513 The greenhouse effect is another example. 00:03:40.513 --> 00:03:43.250 Some of the solar radiation that hits the Earth's surface 00:03:43.250 --> 00:03:45.605 is reflected back to the atmosphere. 00:03:45.605 --> 00:03:51.006 Greenhouse gases, like water vapor and carbon dioxide absorb this radiation 00:03:51.006 --> 00:03:52.491 and speed up. 00:03:52.491 --> 00:03:57.573 These hotter, faster-moving molecules emit infrared radiation in all directions, 00:03:57.573 --> 00:04:00.346 including back to Earth, warming it. 00:04:00.346 --> 00:04:03.338 Does all this molecular motion ever stop? 00:04:03.338 --> 00:04:05.940 You might think that would happen at absolute zero, 00:04:05.940 --> 00:04:07.815 the coldest possible temperature. 00:04:07.815 --> 00:04:10.677 No one's ever managed to cool anything down that much, 00:04:10.677 --> 00:04:11.998 but even if we could, 00:04:11.998 --> 00:04:16.213 molecules would still move due to a quantum mechanical principle 00:04:16.213 --> 00:04:18.561 called zero-point energy. 00:04:18.561 --> 00:04:22.747 In other words, everything has been moving since the universe's very first moments, 00:04:22.747 --> 00:04:26.220 and will keep going long, long after we're gone.