1 00:00:00,680 --> 00:00:02,070 PROFESSOR: Have you ever wondered 2 00:00:02,070 --> 00:00:06,120 how all the chemical elements are made? 3 00:00:06,120 --> 00:00:08,640 Then join me as we are lifting all this data 4 00:00:08,640 --> 00:00:11,630 secrets to understand the cosmic origin of the chemical 5 00:00:11,630 --> 00:00:12,130 elements. 6 00:00:15,770 --> 00:00:17,210 Why do stars shine? 7 00:00:17,210 --> 00:00:19,730 Why do we have sunlight every day? 8 00:00:19,730 --> 00:00:22,160 Well, it's because of nuclear fusion. 9 00:00:30,090 --> 00:00:33,650 Nuclear fusion is going on in the core of the sun. 10 00:00:33,650 --> 00:00:36,470 Hydrogen to helium gets converted there. 11 00:00:36,470 --> 00:00:38,600 And that gives the sun enough energy 12 00:00:38,600 --> 00:00:42,770 to sustain its luminosity for billions of years. 13 00:00:42,770 --> 00:00:44,130 How does this work? 14 00:00:44,130 --> 00:00:46,260 Let's have a look. 15 00:00:46,260 --> 00:00:50,420 So we want to reproduce what is going on in the sun. 16 00:00:50,420 --> 00:00:53,360 And what's basically happening is 17 00:00:53,360 --> 00:01:01,370 that four protons, which also are just four hydrogen atoms, 18 00:01:01,370 --> 00:01:03,710 come together in a series of steps 19 00:01:03,710 --> 00:01:06,470 that we're going to leave out for now. 20 00:01:06,470 --> 00:01:10,250 And they form a helium atom. 21 00:01:10,250 --> 00:01:12,990 And that's made from two protons and two neutrons. 22 00:01:12,990 --> 00:01:19,450 So we have some conversion of protons here into neutrons. 23 00:01:19,450 --> 00:01:21,230 --one helium. 24 00:01:21,230 --> 00:01:25,860 This actually works only because there 25 00:01:25,860 --> 00:01:28,340 is quantum mechanical tunneling going on. 26 00:01:28,340 --> 00:01:30,020 That's a really cool thing. 27 00:01:30,020 --> 00:01:33,590 Ordinarily, these positively charged protons would actually 28 00:01:33,590 --> 00:01:36,920 repel themselves. 29 00:01:36,920 --> 00:01:41,750 But in the sun, it's really quite hot, not quite hot 30 00:01:41,750 --> 00:01:46,530 enough for them to all fuse straight up. 31 00:01:46,530 --> 00:01:48,470 But because of this tunneling effect, 32 00:01:48,470 --> 00:01:50,420 it's hot enough, just hot enough, 33 00:01:50,420 --> 00:01:54,230 so that these protons can combine to eventually form 34 00:01:54,230 --> 00:01:57,010 a helium nucleus. 35 00:01:57,010 --> 00:01:59,390 This kind of tunneling effect is important 36 00:01:59,390 --> 00:02:03,110 for all subsequent fusion processes, 37 00:02:03,110 --> 00:02:08,195 namely if we have another helium here 38 00:02:08,195 --> 00:02:10,729 and another one-- so we'll put all of those 39 00:02:10,729 --> 00:02:14,630 together-- we're going to get the carbon nucleus. 40 00:02:14,630 --> 00:02:16,970 This is the carbon nucleus. 41 00:02:16,970 --> 00:02:22,850 And if we're going to add another helium to that, 42 00:02:22,850 --> 00:02:28,850 we're going to get oxygen. And if we add more so-called alpha 43 00:02:28,850 --> 00:02:31,700 particles-- helium nuclei are often 44 00:02:31,700 --> 00:02:34,310 called alpha particles-- then eventually we're 45 00:02:34,310 --> 00:02:37,880 going to get to iron. 46 00:02:37,880 --> 00:02:41,360 Now, how does this help us understanding 47 00:02:41,360 --> 00:02:43,100 why the sun shines? 48 00:02:43,100 --> 00:02:47,620 As it turns out, these lightest nuclei here, 49 00:02:47,620 --> 00:02:52,070 they're less tightly bound than the big ones like iron. 50 00:02:52,070 --> 00:02:55,790 And that means we're going to get a little bit more energy 51 00:02:55,790 --> 00:02:58,012 out of this than that. 52 00:02:58,012 --> 00:03:00,470 Now, let's look at some details and then come back to this. 53 00:03:02,990 --> 00:03:05,060 So if we're going to look at the constituents 54 00:03:05,060 --> 00:03:10,290 here for protons, which make up one helium nucleus, 55 00:03:10,290 --> 00:03:14,180 and then we know a helium nucleus consists 56 00:03:14,180 --> 00:03:19,610 of two neutrons and two protons, and if we 57 00:03:19,610 --> 00:03:23,120 make a little experiment and we weigh one helium nucleus, 58 00:03:23,120 --> 00:03:27,280 and then we weigh two neutrons and two protons separately, 59 00:03:27,280 --> 00:03:30,560 we're going to find out that the helium nucleus actually 60 00:03:30,560 --> 00:03:36,080 weighs a little bit less than my initial constituents here. 61 00:03:36,080 --> 00:03:40,130 And actually, it's 0.73%. 62 00:03:40,130 --> 00:03:43,760 That our final helium nucleus here weighs less 63 00:03:43,760 --> 00:03:47,330 than these constituents. 64 00:03:47,330 --> 00:03:49,050 And that's really fantastic. 65 00:03:49,050 --> 00:03:52,070 So this is called a mass defect. 66 00:03:52,070 --> 00:03:55,550 And you've all seen the equation E 67 00:03:55,550 --> 00:04:00,950 equals mc squared, usually with a picture of Einstein attached. 68 00:04:00,950 --> 00:04:07,800 And this here, this is a little mass, a little mass difference. 69 00:04:07,800 --> 00:04:09,710 And if you stick that in here, you 70 00:04:09,710 --> 00:04:14,010 multiply it with the speed of light, c squared-- 71 00:04:14,010 --> 00:04:15,950 which is just a constant, so just a number-- 72 00:04:15,950 --> 00:04:17,890 you're going to get out energy. 73 00:04:17,890 --> 00:04:19,730 And that is the energy that the sun 74 00:04:19,730 --> 00:04:22,430 is using to shine every day. 75 00:04:22,430 --> 00:04:28,310 So this is the nuclear energy that stars produce. 76 00:04:28,310 --> 00:04:31,040 Now, this amount of energy that gets out 77 00:04:31,040 --> 00:04:33,320 become successively less if you go 78 00:04:33,320 --> 00:04:35,060 to heavier and heavier nuclei. 79 00:04:35,060 --> 00:04:38,910 And if you were to try to fuse to iron atoms together, 80 00:04:38,910 --> 00:04:40,970 you're not going to get out anything. 81 00:04:40,970 --> 00:04:47,480 So iron atoms will not give you any fusion energy with this 82 00:04:47,480 --> 00:04:49,400 here, because this is zero. 83 00:04:49,400 --> 00:04:54,350 Actually, you would need to put energy 84 00:04:54,350 --> 00:04:58,250 in if you wanted to fuse two iron atoms. 85 00:04:58,250 --> 00:05:00,620 So obviously, the star is going to have a big problem. 86 00:05:00,620 --> 00:05:03,040 Because it doesn't want to put energy in. 87 00:05:03,040 --> 00:05:06,050 It wants to get to energy out. 88 00:05:06,050 --> 00:05:12,950 And that's why, in the end, the star ends up with an iron core. 89 00:05:12,950 --> 00:05:15,650 So this is an iron core here. 90 00:05:15,650 --> 00:05:19,460 These fusion processes have been going on in the center 91 00:05:19,460 --> 00:05:23,480 and growing larger and larger as more and more elements are 92 00:05:23,480 --> 00:05:24,590 being made. 93 00:05:24,590 --> 00:05:28,940 And eventually, there is a big, fat iron core sitting there. 94 00:05:28,940 --> 00:05:32,850 And since it can't get any energy out anymore, 95 00:05:32,850 --> 00:05:34,160 the star has a big problem. 96 00:05:34,160 --> 00:05:37,390 Because it needs to have an energy source. 97 00:05:37,390 --> 00:05:41,440 And so without that, it explodes as a supernova.