1 00:00:13,347 --> 00:00:15,305 [SQUEAKING] [RUSTLING] [CLICKING] MARKUS KLUTE: 2 00:00:15,305 --> 00:00:16,820 Welcome back to 8.701. 3 00:00:16,820 --> 00:00:19,010 We're starting a new chapter now, Chapter 9, 4 00:00:19,010 --> 00:00:20,090 on nuclear physics. 5 00:00:20,090 --> 00:00:22,700 And this video is the first introduction 6 00:00:22,700 --> 00:00:24,890 into the topic, where I'm explaining 7 00:00:24,890 --> 00:00:29,000 some of the terminology and some of the concepts. 8 00:00:29,000 --> 00:00:33,660 We dive in much more detail as we go on. 9 00:00:33,660 --> 00:00:38,108 So given an atom, you can specify the number of neutrons, 10 00:00:38,108 --> 00:00:39,650 the number of protons, and the number 11 00:00:39,650 --> 00:00:42,410 of electrons, which is equal to the number of protons, 12 00:00:42,410 --> 00:00:43,970 for neutral atoms. 13 00:00:43,970 --> 00:00:47,450 Atoms of the same element, they have the same atomic number, 14 00:00:47,450 --> 00:00:52,630 Z, but they're not all the same. 15 00:00:52,630 --> 00:00:55,480 Isotopes of the same element have different numbers 16 00:00:55,480 --> 00:00:56,690 of neutrons. 17 00:00:56,690 --> 00:01:03,640 So we can have uranium with a number of neutrons varying. 18 00:01:03,640 --> 00:01:08,500 You typically write an isotope by specifying 19 00:01:08,500 --> 00:01:12,250 the mass, the number of protons, and the number of neutrons. 20 00:01:12,250 --> 00:01:14,060 But that information is redundant. 21 00:01:14,060 --> 00:01:17,500 So typically, we simplify this by just writing things 22 00:01:17,500 --> 00:01:23,260 like 238 uranium, and that specifies 23 00:01:23,260 --> 00:01:24,760 a specific isotope of uranium. 24 00:01:28,260 --> 00:01:30,750 When talking about different nuclei, 25 00:01:30,750 --> 00:01:33,960 we sometimes refer to them as nuclide, 26 00:01:33,960 --> 00:01:37,920 atom/nucleus with a specific number of neutrons 27 00:01:37,920 --> 00:01:40,860 and a specific number of protons. 28 00:01:40,860 --> 00:01:44,970 Isobars are nuclides with the same mass, 29 00:01:44,970 --> 00:01:51,660 with the same number, same sum of protons and neutrons, 30 00:01:51,660 --> 00:01:55,800 but with varying individual number of protons and neutrons. 31 00:01:55,800 --> 00:01:59,550 An isotine is a nuclide with the same number of neutrons, 32 00:01:59,550 --> 00:02:02,040 but with varying number of protons, 33 00:02:02,040 --> 00:02:04,320 and an isomer is the same nuclide 34 00:02:04,320 --> 00:02:06,430 but different [? eigen ?] states, 35 00:02:06,430 --> 00:02:08,760 which means that the energy states are-- 36 00:02:08,760 --> 00:02:09,850 an energy state. 37 00:02:09,850 --> 00:02:14,980 So we can excite nuclides at their component particles. 38 00:02:14,980 --> 00:02:19,330 The nuclear radius typically can be extracted 39 00:02:19,330 --> 00:02:22,440 from the mass of the nuclide. 40 00:02:22,440 --> 00:02:25,600 And it's simply we add little balls to the sum, 41 00:02:25,600 --> 00:02:32,010 and it scales with A to the 1/3 the mass of a number 42 00:02:32,010 --> 00:02:36,920 of elements in this nuclide. 43 00:02:36,920 --> 00:02:38,540 There's many isotopes. 44 00:02:38,540 --> 00:02:40,050 There's many nuclides. 45 00:02:40,050 --> 00:02:44,390 And so you typically can look at all of them, if you want, 46 00:02:44,390 --> 00:02:47,510 or a subset of them in nuclear charts 47 00:02:47,510 --> 00:02:51,355 that's given here, where we plot here the number of protons, 48 00:02:51,355 --> 00:02:52,825 and here the number of neutrons. 49 00:02:55,810 --> 00:03:00,300 And we look at many more of those charts later. 50 00:03:00,300 --> 00:03:03,810 Here's another representation of the very same thing. 51 00:03:03,810 --> 00:03:06,180 You see a nuclear chart again. 52 00:03:06,180 --> 00:03:10,180 And here, what's spotted in red are the stable nuclei. 53 00:03:10,180 --> 00:03:12,510 We will see that nuclei can decay, 54 00:03:12,510 --> 00:03:15,390 and we'll understand why they decay and in what form 55 00:03:15,390 --> 00:03:16,170 they decay. 56 00:03:16,170 --> 00:03:19,150 It's a core part of this chapter, 57 00:03:19,150 --> 00:03:22,330 understanding how nuclei can decay, 58 00:03:22,330 --> 00:03:26,430 and what we can learn about them by studying their decays. 59 00:03:26,430 --> 00:03:28,030 One way to look at it, for example, 60 00:03:28,030 --> 00:03:30,930 we see that here I plot Z over A, so 61 00:03:30,930 --> 00:03:36,730 the number of protons over the sum of the number of protons, Z 62 00:03:36,730 --> 00:03:41,740 plus N. And you see that most of the stable nuclei, 63 00:03:41,740 --> 00:03:45,610 with the exception of the one with very small mass number, 64 00:03:45,610 --> 00:03:52,240 have less protons than neutrons. 65 00:03:52,240 --> 00:03:53,670 So there's an excess of neutrons. 66 00:03:53,670 --> 00:03:55,380 This can also be seen here. 67 00:03:55,380 --> 00:03:59,750 The stable nuclei are typically on or below this axis 68 00:03:59,750 --> 00:04:03,940 where Z is equal to A. 69 00:04:03,940 --> 00:04:06,980 Radioactive decays can be characterized, typically, 70 00:04:06,980 --> 00:04:10,430 as a parent nuclide, and then a daughter nuclide. 71 00:04:10,430 --> 00:04:12,640 And so radioactive decay is a process 72 00:04:12,640 --> 00:04:15,580 in which an unstable nucleus spontaneously loses energy 73 00:04:15,580 --> 00:04:18,459 by emitting particles, ionization 74 00:04:18,459 --> 00:04:20,709 particles and radiation. 75 00:04:20,709 --> 00:04:23,620 The decay and the loss of energy results, then, 76 00:04:23,620 --> 00:04:28,250 in an atom of one type, the parent particle or parent 77 00:04:28,250 --> 00:04:32,662 nuclide, transforming into another type of an atom, 78 00:04:32,662 --> 00:04:34,650 or the daughter nuclide. 79 00:04:34,650 --> 00:04:39,340 We have already looked at decay rate 80 00:04:39,340 --> 00:04:42,520 in the concept of particle physics interactions, 81 00:04:42,520 --> 00:04:45,400 but we can define this very similar here, the decay rate, 82 00:04:45,400 --> 00:04:49,280 or sometimes it is called decay constant. 83 00:04:49,280 --> 00:04:51,110 And then as we did before, we can 84 00:04:51,110 --> 00:04:55,920 define the mean lifetime or the half life of a parent nuclide. 85 00:04:58,750 --> 00:05:00,460 So this is it for the introduction. 86 00:05:00,460 --> 00:05:06,530 And in the next lecture, we'll start looking in the energy 87 00:05:06,530 --> 00:05:10,720 which is used to bind the nuclei, the protons 88 00:05:10,720 --> 00:05:13,990 and neutrons together, and how we can understand this 89 00:05:13,990 --> 00:05:16,950 from an empirical model.