0:00:06.842,0:00:11.668 Many of the inanimate objects around you[br]probably seem perfectly still. 0:00:11.668,0:00:15.663 But look deep into the atomic structure[br]of any of them, 0:00:15.663,0:00:18.333 and you'll see a world in constant flux. 0:00:18.333,0:00:19.138 Stretching, 0:00:19.138,0:00:20.067 contracting, 0:00:20.067,0:00:21.002 springing, 0:00:21.002,0:00:21.977 jittering, 0:00:21.977,0:00:25.158 drifting atoms everywhere. 0:00:25.158,0:00:28.355 And though that movement may seem chaotic,[br]it's not random. 0:00:28.355,0:00:29.890 Atoms that are bonded together, 0:00:29.890,0:00:32.269 and that describes almost all substances, 0:00:32.269,0:00:34.881 move according to a set of principles. 0:00:34.881,0:00:39.776 For example, take molecules,[br]atoms held together by covalent bonds. 0:00:39.776,0:00:42.322 There are three basic ways [br]molecules can move: 0:00:42.322,0:00:43.214 rotation, 0:00:43.214,0:00:44.337 translation, 0:00:44.337,0:00:45.886 and vibration. 0:00:45.886,0:00:49.038 Rotation and translation [br]move a molecule in space 0:00:49.038,0:00:52.166 while its atoms stay [br]the same distance apart. 0:00:52.166,0:00:55.608 Vibration, on the other hand, [br]changes those distances, 0:00:55.608,0:00:58.250 actually altering the molecule's shape. 0:00:58.250,0:01:02.688 For any molecule, you can count up[br]the number of different ways it can move. 0:01:02.688,0:01:05.304 That corresponds to [br]its degrees of freedom, 0:01:05.304,0:01:06.941 which in the context of mechanics 0:01:06.941,0:01:10.450 basically means the number of variables[br]we need to take into account 0:01:10.450,0:01:13.345 to understand the full system. 0:01:13.345,0:01:18.019 Three-dimensional space is defined by[br]x, y, and z axes. 0:01:18.019,0:01:23.034 Translation allows the molecule to move[br]in the direction of any of them. 0:01:23.034,0:01:25.098 That's three degrees of freedom. 0:01:25.098,0:01:28.758 It can also rotate around [br]any of these three axes. 0:01:28.758,0:01:29.990 That's three more, 0:01:29.990,0:01:33.042 unless it's a linear molecule, [br]like carbon dioxide. 0:01:33.042,0:01:37.457 There, one of the rotations just spins[br]the molecule around its own axis, 0:01:37.457,0:01:41.607 which doesn't count because it doesn't[br]change the position of the atoms. 0:01:41.607,0:01:44.596 Vibration is where it gets a bit tricky. 0:01:44.596,0:01:46.979 Let's take a simple molecule,[br]like hydrogen. 0:01:46.979,0:01:51.682 The length of the bond the holds the two[br]atoms together is constantly changing 0:01:51.682,0:01:54.479 as if the atoms were connected [br]by a spring. 0:01:54.479,0:01:58.985 That change in distance is tiny,[br]less than a billionth of a meter. 0:01:58.985,0:02:03.791 The more atoms and bonds a molecule has,[br]the more vibrational modes. 0:02:03.791,0:02:06.816 For example, a water molecule [br]has three atoms: 0:02:06.816,0:02:10.164 one oxygen and two hydrogens,[br]and two bonds. 0:02:10.164,0:02:12.476 That gives it three modes of vibration: 0:02:12.476,0:02:13.824 symmetric stretching, 0:02:13.824,0:02:15.408 asymmetric stretching, 0:02:15.408,0:02:16.896 and bending. 0:02:16.896,0:02:21.142 More complicated molecules have even[br]fancier vibrational modes, 0:02:21.142,0:02:22.426 like rocking, 0:02:22.426,0:02:23.607 wagging, 0:02:23.607,0:02:25.195 and twisting. 0:02:25.195,0:02:29.854 If you know how many atoms a molecule has,[br]you can count its vibrational modes. 0:02:29.854,0:02:32.011 Start with the total degrees of freedom, 0:02:32.011,0:02:35.427 which is three times the number[br]of atoms in the molecule. 0:02:35.427,0:02:38.837 That's because each atom can move[br]in three different directions. 0:02:38.837,0:02:41.393 Three of the total correspond [br]to translation 0:02:41.393,0:02:44.633 when all the atoms [br]are going in the same direction. 0:02:44.633,0:02:49.430 And three, or two for linear molecules,[br]correspond to rotations. 0:02:49.430,0:02:53.999 All the rest, 3N-6[br]or 3N-5 for linear molecules, 0:02:53.999,0:02:56.127 are vibrations. 0:02:56.127,0:02:57.961 So what's causing all this motion? 0:02:57.961,0:03:02.053 Molecules move because they absorb[br]energy from their surroundings, 0:03:02.053,0:03:05.748 mainly in the form of heat[br]or electromagnetic radiation. 0:03:05.748,0:03:08.355 When this energy gets transferred[br]to the molecules, 0:03:08.355,0:03:09.415 they vibrate, 0:03:09.415,0:03:10.221 rotate, 0:03:10.221,0:03:12.507 or translate faster. 0:03:12.507,0:03:16.534 Faster motion increases the kinetic energy[br]of the molecules and atoms. 0:03:16.534,0:03:20.792 We define this as an increase [br]in temperature and thermal energy. 0:03:20.792,0:03:25.445 This is the phenomenon your microwave oven[br]uses to heat your food. 0:03:25.445,0:03:29.247 The oven emits microwave radiation,[br]which is absorbed by the molecules, 0:03:29.247,0:03:31.723 especially those of water. 0:03:31.723,0:03:33.659 They move around faster and faster, 0:03:33.659,0:03:38.101 bumping into each other and increasing[br]the food's temperature and thermal energy. 0:03:38.101,0:03:40.513 The greenhouse effect is another example. 0:03:40.513,0:03:43.250 Some of the solar radiation [br]that hits the Earth's surface 0:03:43.250,0:03:45.605 is reflected back to the atmosphere. 0:03:45.605,0:03:51.006 Greenhouse gases, like water vapor[br]and carbon dioxide absorb this radiation 0:03:51.006,0:03:52.491 and speed up. 0:03:52.491,0:03:57.573 These hotter, faster-moving molecules[br]emit infrared radiation in all directions, 0:03:57.573,0:04:00.346 including back to Earth, warming it. 0:04:00.346,0:04:03.338 Does all this molecular motion ever stop? 0:04:03.338,0:04:05.940 You might think that would happen[br]at absolute zero, 0:04:05.940,0:04:07.815 the coldest possible temperature. 0:04:07.815,0:04:10.677 No one's ever managed to cool[br]anything down that much, 0:04:10.677,0:04:11.998 but even if we could, 0:04:11.998,0:04:16.213 molecules would still move due to[br]a quantum mechanical principle 0:04:16.213,0:04:18.561 called zero-point energy. 0:04:18.561,0:04:22.747 In other words, everything has been moving[br]since the universe's very first moments, 0:04:22.747,0:04:26.220 and will keep going long, [br]long after we're gone.