[00:01] The following content is provided under [00:02] a Creative Commons license. Your support [00:05] will help MIT Open Courseware continue [00:07] to offer high-quality educational [00:09] resources for free. [00:11] To make a donation or to view additional [00:13] materials from hundreds of MIT courses, [00:15] visit MIT Open Courseware at [00:17] ocw.mit.edu. [00:22] All right. So, like I told you guys, [00:24] Friday marked the end of the hardest [00:26] part of the course and Monday marked the [00:28] end of the hardest P set. So, because [00:30] the rest of your classes are going full [00:32] throttle, this one's going to wind down [00:34] a little bit. [00:35] So, today I'd say sit back, relax, and [00:37] enjoy a nuclear catastrophe. [00:39] Because we are going to explain what [00:41] happened at Chernobyl. Now that you've [00:43] got the physics and uh intuitive [00:46] background to understand the actual [00:48] sequence of events. [00:50] To kick it off, I want to show you guys [00:52] some actual footage [00:54] of the Chernobyl reactor as it was [00:56] burning. So, this is the part that most [00:58] folks know about. [01:09] This is footage taken from a helicopter [01:10] from folks that were either surveying or [01:12] dropping materials onto the reactor. [01:25] That was probably a bad idea. [01:29] Over where the smoke is. We'll get into [01:31] what the smoke was. [01:51] So, that [01:52] red stuff right there, that's actually [01:54] glowing graphite amongst other materials [01:57] from the graphite fire that resulted [01:59] from the R the RBMK reactor burning [02:02] after the Chernobyl accident caused by [02:04] both flaws in the physical design of the [02:07] RBMK reactor and absolute operator [02:10] stupidity and neglect of any sort of [02:12] safety systems or safety culture. We're [02:15] lucky to live here in the US where our [02:16] worst accident at Three Mile Island was [02:18] not actually really that much of an [02:20] accident. There was a partial meltdown. [02:22] There was not that much of a release of [02:24] radionuclides into the atmosphere [02:27] because we do things like build [02:28] containments on our reactors. If you [02:31] think of what a typical reactor looks [02:32] like, like if you consider the MIT [02:35] reactor as a scaled-down version of a [02:37] normal reactor, or I [02:39] let's say a commercial power reactor, [02:41] you've got the core here. You've got a [02:43] bunch of shielding around it. [02:46] And you've got a dome [02:48] that's rather thick [02:52] that comprises the containment. [02:57] That would be the core. [02:59] This would be some shielding. [03:03] So, this is what you find in US and most [03:06] other reactors. For the RBMK reactors, [03:10] there was no containment. [03:14] Because it was thought that nothing [03:16] could happen. And boy, were they wrong. [03:19] So, I want to walk you guys through a [03:21] chronology of what actually happened at [03:23] the Chernobyl reactor, which you guys [03:25] can read on the NEA or Nuclear Energy [03:28] Agency website, the same place that you [03:30] find Janice. And we're going to refer to [03:32] a lot of the Janice cross sections to [03:34] explain why these sorts of events [03:35] happened. [03:36] So, the whole point of what happened at [03:38] Chernobyl was it was desired to see if [03:41] you could use the spinning-down turbine [03:44] after you shut down the reactor to power [03:46] the emergency systems at the reactor. [03:49] Uh this would be following something [03:50] what's called a a loss of offsite power. [03:53] If the offsite power or the grid was [03:55] disconnected from the reactor, the [03:57] reactor automatically shuts down. But [03:59] the turbine, like I showed you a couple [04:01] weeks ago, is this enormous spinning [04:03] hulk of metal and machinery that coasts [04:06] down over a long period of let's say [04:08] hours. And as it's spinning, the [04:10] generator coils are still spinning and [04:13] still producing electricity, or they [04:15] could be. [04:16] So, it was desired to find out can we [04:18] use the spinning-down turbine to power [04:20] the emergency equipment if we lose [04:22] offsite power? [04:23] So, they had to simulate this event. [04:25] So, what they actually decided to do is [04:27] coast down the reactor to a moderate [04:30] power level, a very low power, and see [04:32] what comes out of the turbine itself, or [04:35] out of the generator, rather. [04:37] Um now, there were a lot of flaws in the [04:40] RBMK design. And I'd like to bring it up [04:42] here so we can talk about what it looks [04:44] like and what was wrong with it. [04:47] So, the RBMKs, unlike any of the [04:50] United States light water reactors that [04:52] you may have seen before, many of the [04:54] components are the same. There's still [04:56] uh light water reactor coolant loop [04:58] where a water flows around fuel rods, [05:01] goes into a steam separator, better [05:03] known as a big heat exchanger, and the [05:05] steam drives a turbine [05:07] which produces energy, and then this [05:09] coolant pump keeps it going, and then [05:11] the water circulates. Uh what makes it [05:13] different, though, is that each of these [05:15] fuel rods was inside its own pressure [05:18] tube. So, the coolant was pressurized, [05:21] and out here, [05:23] this stuff right here was the moderator, [05:25] composed of graphite. [05:27] Unlike light water reactors in the US, [05:29] the coolant was not the only moderator [05:31] in the reactor. [05:33] Graphite also existed, which meant that [05:35] if the water went away, which would [05:37] normally shut down a light water reactor [05:39] from lack of moderation, graphite was [05:42] still there to slow the neutrons down [05:44] into the high fission cross section [05:46] area. [05:48] And I'd like to pull up Janice [05:50] and show you what I mean with the [05:52] uranium cross section. [05:55] So, let's go again to uranium 235 [05:58] and pull up its fission cross section. [06:02] Z fission. [06:08] Can make it a little thicker, too. [06:10] So, [06:12] again, the goal of the moderator is to [06:14] take neutrons from high energies, like 1 [06:17] to 10 MeV, where the fission cross [06:19] section is relatively low, and slow them [06:21] down into this region where fission is, [06:23] let's say, a thousand times more likely. [06:26] And in a light water reactor in the US, [06:28] if the coolant goes away, so does the [06:30] moderation, and there's nothing left to [06:33] slow those neutrons down to make fission [06:35] more likely. In the RBMK, [06:38] that's not the case. The graphite's [06:39] still there. [06:41] The graphite is cooled by a [06:42] helium-nitrogen mixture [06:44] because the neutron interactions in the [06:46] graphite, that's slowing down, [06:49] we've always talked about what happens [06:50] from the point of view of the neutron. [06:52] But what about the point of view of the [06:53] other material? [06:54] Any energy lost by the neutrons is [06:57] gained by the moderating material. So, [06:59] the graphite gets really hot. And you [07:02] have to flow some non-oxygen-containing [07:04] gas mixture, like helium and nitrogen, [07:07] which is pretty inert, to keep that [07:09] graphite cool. [07:10] And then in between the graphite [07:12] moderator were control rods, about 200 [07:15] of them or so, 30 of which were required [07:17] to be down in the reactor at any given [07:19] time in order to control power. And that [07:21] was a design rule that was broken during [07:24] the actual experiment. And then on top [07:27] of here, on top of this biological [07:28] shield, you could walk on top of it. So, [07:31] those the tops of those pressure tubes, [07:33] despite being about 350 kilo chunks of [07:35] concrete, [07:37] you could walk on top of them. It's [07:38] pretty cool. [07:40] Kind of scary, too. [07:42] So, what happened in chronological order [07:46] was around midnight the decision was [07:48] made to undergo this test and start [07:51] spinning down the turbine. [07:53] Uh but the grid operator came back and [07:55] said, "No, you can't just cut the [07:57] reactor power to nothing. You have to [07:59] maintain it at a rather high power for a [08:01] while." About 500 megawatts electric, or [08:04] half the rated power of the reactor. And [08:06] what that had the effect of doing is [08:08] continuing to create fission products, [08:11] including xenon 135. [08:13] We haven't mentioned this one yet. [08:16] You'll talk about it quite a lot [08:18] in 2205 [08:20] in neutron physics. [08:22] Black shirt really shows chalk well. [08:24] Okay. [08:25] What xenon 135 does is it just sits [08:27] there. It's a noble gas. It has a [08:29] half-life of a few days, so it decays on [08:32] the slow side for, [08:34] you know, fission as fission products [08:35] go, but it also absorbs lots and lots [08:38] and lots of neutrons. [08:41] Let's see if I can find which one is the [08:42] xenon one. There we go. [08:44] So, here I've plotted the total cross [08:47] section for xenon 135 and the absorption [08:51] cross section. [08:52] And notice how for low energies, pretty [08:54] much the entire cross section of xenon [08:56] is made up of absorption. Did you guys [08:58] in your homework see anything that [09:00] reached about 10 million barns? [09:03] No. [09:03] Xenon 135 is one of the best neutron [09:05] absorbers there is, and reactors produce [09:07] it constantly. So, as they're operating, [09:10] you'll build up xenon 135 that you have [09:13] to account for in your sigma absorption [09:15] cross section. [09:17] Cuz like you guys saw on the homework, [09:20] if you want to write what's the sigma [09:21] absorption cross section of the reactor, [09:24] it's the sum [09:26] of every single isotope in the reactor [09:28] of its number density [09:31] times [09:32] its absorption cross section. [09:34] And so, that would include everything [09:36] for [09:37] water [09:39] and let's say the uranium and the xenon [09:42] that you're building up. [09:44] When the reactor starts up, the number [09:46] density of xenon is zero cuz you don't [09:48] have any anything to have produced it. [09:50] When you start operating, you'll reach [09:52] the xenon equilibrium level where it [09:55] will build to a certain level that will [09:57] counteract the reactivity of the [09:59] reactor. [10:00] And in your K effective expression [10:03] where it's sources [10:06] over [10:07] absorption plus leakage [10:11] this has the effect of rise at raising [10:13] sigma absorption and lowering K [10:15] effective. [10:17] The trick is it doesn't last for very [10:18] long. It both decays with a half-life of [10:20] about 5 days and when you try and raise [10:23] the reactor power you will also start to [10:25] burn it out. So if you're operating at a [10:27] fairly low power level, you'll both be [10:29] decaying and burning xenon without [10:32] really knowing what's going on and [10:33] that's exactly what happened here. [10:35] So an hour or so later [10:38] let me pull up the chronology again. [10:40] A little more than an hour later, so the [10:42] reactor power stabilized at something [10:43] like 30 MW. [10:45] And they were like, "What is going on? [10:47] Why is the reactor power so low? We need [10:49] to increase the reactor power." So what [10:51] did they do? Couple things. One was [10:54] remove all but six or seven of the [10:55] control rods. [10:57] Going way outside the spec of the design [11:01] uh because 30 were needed to actually [11:02] maintain the reactor at a stable power. [11:05] All the while the xenon that had been [11:07] building up is still there keeping the [11:10] reactor from going critical. It's what [11:11] was the main reason that the reactor [11:13] didn't even have very much power. [11:16] But it was also burning out at the same [11:17] time. [11:18] So all the while [11:20] let's say if we were to show a graph of [11:23] two things, time [11:25] xenon inventory and [11:29] as a solid line and let's say control [11:31] rod worth [11:35] as a dotted line. [11:37] The xenon inventory at full power would [11:39] have been at some level and then it [11:42] would start to decay and burn out. Well, [11:45] at the same time the control rod worth [11:47] as you remove control rods from the [11:49] reactor [11:51] every time you remove one you lose some [11:52] control rod worth would continue to [11:55] diminish. [11:56] Leading to the point where that stuff [11:58] was going to happen. [12:02] Let me make sure I didn't lose my place. [12:04] So at any rate as they started pulling [12:06] the control rods out a couple of [12:08] interesting quirks happened in terms of [12:10] feedback. So let's look back at this [12:11] design. [12:12] Like any reactor [12:14] this reactor had what's called a [12:16] negative fuel temperature coefficient. [12:18] What that means is that [12:20] when you heat up the fuel [12:22] two things happen. One, the [12:24] cross-section for anything absorption or [12:26] fission would go up but the number [12:28] density would also go down. As the atoms [12:31] physically spaced out in the fuel, their [12:34] number density would go down lowering [12:36] the macroscopic cross-section for [12:38] fission. And that's arguably a good [12:40] thing. [12:41] The problem is at below about 20% power [12:45] the reactor had what's called a positive [12:46] void coefficient [12:48] which meant that if you boil the coolant [12:50] you increase the reactor power. [12:53] Because the other thing that I think I [12:54] mentioned this once [12:56] and you calculated in the homework [13:00] the absorption cross-section of hydrogen [13:03] is not zero. It's small but fairly [13:06] significant. Let's actually take a look [13:08] at it cuz we can always see this in [13:11] Janus. [13:12] Go back down to hydrogen. [13:15] Hydrogen one. [13:18] And we look at the absorption [13:20] cross-section. [13:24] And of course it started us with a [13:25] linear scale. Let's go logarithmic. Ah. [13:29] So at low energies at you know, 10 to [13:32] the minus eight to 10 to the minus seven [13:33] it's around a barn. [13:35] Not super high but absolutely not [13:37] negligible. [13:39] Which meant that part of the normal [13:40] functionality of the RBMK depending on [13:43] depended on the absorption of the water [13:46] to help absorb some of those neutrons. [13:48] With those neutrons gone, I'm sorry, [13:50] with those with that water gone [13:53] there was less absorption but there was [13:54] still a ton of moderation [13:56] in this graphite moderator. So they [13:58] still could get slow but then there'd be [14:00] more of them and that would cause the [14:01] power to increase. And then that caused [14:03] more of the water the coolant to boil [14:06] which would cause less absorption which [14:08] would cause the power to increase. Yeah, [14:10] Charlie? So if they removed the water [14:12] from [14:14] They did not remove the water from the [14:16] reactor. However, as the power started [14:18] to rise some of the water started to [14:20] boil. [14:22] And so you can still have let's say [14:23] steam flowing through [14:25] and still remove some of the heat. [14:27] However, you don't have that denser [14:29] water to act as an absorber. [14:31] And that's what really undid this [14:32] reactor. In addition, they decided to [14:35] disable the ECCS or the emergency core [14:38] cooling system which you're just not [14:39] supposed to do. [14:41] So they shut down a bunch of these [14:42] systems to see if you could power the [14:43] other ones from the spinning down [14:44] turbine. [14:46] And then as they noticed that the [14:48] reactor was getting less and less stable [14:49] they had almost all the rods out. Some [14:53] of these pressure tubes started to bump [14:56] and jump. These 350 kg pressure tube [15:00] caps were just rattling. I mean imagine [15:02] something that weighs you know, 900 lb [15:05] or so rattling around and there's a few [15:08] hundred of them. So there was someone in [15:09] the control room that said, "The caps [15:11] are rattling. What the heck?" [15:14] Uh didn't quite make it down the spiral [15:16] staircase because about 10 seconds later [15:19] everything went wrong. [15:21] And so I want to pull up this actual [15:22] timeline so you can see [15:24] it splits from minutes to seconds [15:27] because the speed at which this stuff [15:29] started to go wrong was pretty striking. [15:33] So for example, the control rods raised [15:35] at 1:19 in the morning. [15:38] 2 minutes later [15:40] when the power starts to become unstable [15:42] the caps on the fuel channels which [15:43] again are like 350 kg blocks start [15:47] jumping in their sockets. [15:48] And a lot of that was we go back to the [15:51] RBMK reactor. [15:53] As the coolant started to boil here, [15:55] well that boiling force actually creates [15:57] huge pressure instabilities which would [15:59] cause the pressure tubes to jump up and [16:02] down eventually rupturing almost every [16:04] single one of them with enough force to [16:06] shoot these 350 kilo caps [16:09] and still what did they what did they [16:10] say? I like the language that they used. [16:14] Jumping in their sockets. [16:16] So [16:17] 50 seconds later [16:19] pressure fails in the steam drums which [16:21] means there's been some sort of [16:22] containment leak. So all the while [16:25] the coolant was boiling, the absorption [16:27] was going down, the power was going up [16:30] repeat, repeat, repeat and the power [16:32] jumped to about 100 times the rated [16:34] power in something like 4 seconds. [16:37] So it was normally a 1000 MW electric [16:39] reactor which is about 3200 MW thermal. [16:42] It was producing nearly [16:45] yeah, half a terawatt of thermal power [16:48] for a very short amount of time until it [16:50] exploded. [16:52] Now this is interesting. A lot of folks [16:53] called Chernobyl a nuclear explosion. [16:55] That's actually a misnomer. A nuclear [16:57] explosion would be a nuclear weapon. [17:00] Something set off by an enormous chain [17:02] reaction principally heated by fission [17:05] or fusion. That's not actually what [17:07] happened at Chernobyl nor at Fukushima [17:10] nor was that the worry at Three Mile [17:11] Island. Not to say it wasn't a horrible [17:14] thing but it wasn't an actual nuclear [17:16] explosion. [17:17] At first what happened was a pressure [17:20] explosion. [17:21] So there was an enormous release of [17:24] steam as the power built up to 100 times [17:27] normal operating power the steam force [17:30] was so large that it actually blew the [17:32] reactor lid [17:34] up off of the thing. [17:35] And I think I have a picture of that [17:37] somewhere here too. [17:42] Should be further down. Yeah. To give [17:44] you a little sense of scale [17:46] the reactor cover which weighed about [17:47] 1000 tons launched into the air [17:50] and landed above the reactor [17:52] sending most of the reactor components [17:54] up to a kilometer up in the air. [17:56] 4 seconds later [17:59] that was followed by a hydrogen [18:01] explosion. [18:02] Let me get back down to that chronology. [18:05] So yeah. [18:07] At 1:23 and 40 seconds in the morning. [18:10] Oh yeah, so I should mention why this [18:11] happened. Emergency insertion of all the [18:13] control rods. [18:15] The last part that this diagram doesn't [18:17] mention is these control rods and I'll [18:19] draw this up here were tipped with about [18:21] 6 in of graphite. [18:23] So if these were two graphite channels, [18:26] let's say these are carbon [18:29] and this is your control rod the goal [18:31] was to get this control rod [18:34] all the way into the reactor. [18:37] One part they didn't mention [18:39] was they were tipped with about 6 in of [18:41] graphite which only functions as [18:43] additional moderator. Graphite is one of [18:46] the lowest absorbing materials in the [18:48] periodic table, second I think only to [18:50] oxygen. [18:51] And if we pull up graphite's [18:53] cross-sections [18:57] I've plotted here the total [18:58] cross-section [18:59] the elastic scattering cross-section and [19:01] down here in the point 001 barn level is [19:05] the absorption cross-section. About 1000 [19:08] times lower than water. So you're [19:09] shoving more material in the reactor [19:11] that slows down neutrons even more [19:13] bringing them into the high fission [19:14] region without absorbing anything and [19:17] they jammed about halfway down, about 2 [19:19] and 1/2 ft down leaving the extra [19:22] graphite right in the center of the core [19:24] where it could do the most damage. And [19:26] it didn't take that much time. Yeah? Um [19:28] so my understanding is that also one of [19:30] the designs was that the control rods [19:32] didn't like immediately drop down but [19:34] they were slowly lowered. Yep. Um so [19:36] They took they took 7 to 10 seconds. [19:38] Okay, if they had a system where they [19:39] did drop them would that have possibly [19:41] actually shut the system down properly? [19:43] I'm not sure. I don't know whether [19:45] lowering control rods into something [19:47] that was undergoing steam explosions [19:49] would have actually helped. I mean to me [19:51] by this point it was all over. [19:53] Um [19:54] whether or not, you know, so the extra [19:56] the extra abs- what is it? The extra [19:58] moderator that was dumped in was the [20:00] last kick in the pants this thing needed [20:01] to go absolutely insane. [20:04] And if we go back to the timeline on the [20:06] second level, control rods inserted at [20:08] 1:23 and 40 seconds, explosion 4 seconds [20:12] later. Ah, to 120 times full power. [20:16] Getting towards a terawatt, so. 1 second [20:18] later, the 1,000 ton lid launches off [20:22] from the first explosion. [20:24] Very shortly after that, second [20:26] explosion. And that happened because of [20:29] this reaction. [20:32] Well, any- just about anything [20:35] corroding with water will make pretty [20:38] much anything oxide [20:41] plus hydrogen. The same chemical [20:43] explosion that was the undoing of [20:45] Fukushima and was the worry at Three [20:47] Mile Island that there was a hydrogen [20:49] bubble building because of corrosion [20:51] reactions with whatever happened to be [20:53] in the core. This happens with zirconium [20:55] pretty vigorously, but it happens with [20:57] other materials, too. [20:58] If you oxidize something with water, you [21:01] leave behind the hydrogen, and the [21:02] hydrogen in a very wide range of [21:05] concentrations in the air is explosive. [21:08] We're actually not allowed to use [21:09] hydrogen at above 4% in any of the labs [21:12] here because that reaches the [21:13] flammability or explosive limit. [21:16] So, we were doing some um for my PhD, we [21:18] were doing these experiments corroding [21:20] materials in liquid lead, and we wanted [21:22] to dump in pure hydrogen to see what [21:24] happens when there's no oxygen. We were [21:26] told absolutely not. We had to drill a [21:28] hole in the side of the wall so that the [21:30] hydrogen would vent outside. And do some [21:32] calculations to show if the entire [21:34] bottle of hydrogen emptied into the lab [21:36] at once, which it could do if the cap of [21:38] the bottle breaks off, it would not [21:40] reach 4% concentration. [21:42] So, hydrogen explosions are pretty [21:44] powerful things. Have you guys ever seen [21:46] people making water from scratch? [21:48] Mix hydrogen and oxygen in the bottle [21:50] and [21:51] light a match? [21:52] We've got a video of it circulating [21:54] somewhere around here because for RTC, [21:56] for the reactor technology course, I do [21:58] this in front of a bunch of CEOs. Watch [22:00] them jump out of their chairs [22:01] to teach basic chemical reactions, but [22:03] it's pretty loud. Enough uh about enough [22:06] hydrogen and oxygen [22:08] to just fill this cup or fill a half [22:10] liter water bottle makes a bang that [22:12] gets your ears ringing. Not quite [22:13] bleeding, but close enough. [22:16] So, that's what happened here, except on [22:17] a much more massive scale. So, there was [22:19] a steam explosion followed seconds later [22:22] by a hydrogen explosion from hydrogen [22:24] liberated from the corrosion reaction of [22:26] everything with the water that was [22:28] already there. [22:29] And that's when [22:33] this happened. [22:54] So, that smoke right there [22:57] is from the graphite fire. [22:59] Not normal smoke. [23:20] Spoke too soon. [23:53] This actually provides a perfect conduit [23:55] to transition from the second to the [23:56] third parts of this course. A lot of you [23:58] have been waiting to find out what are [23:59] the units of dose and what are the [24:01] biological and chemical effects of [24:02] radiation. Well, this is where you get [24:04] them. From neutron physics, you can [24:06] understand why Chernobyl went wrong. [24:09] With honestly, you've just been doing [24:10] this for three or four weeks, but with [24:12] your knowledge of cross sections, [24:13] reactor feedback, and criticality, you [24:15] can start to understand why Chernobyl [24:17] was flawed in its design. And what we're [24:19] going to teach you in the rest of the [24:20] course is what happens next. What [24:23] happens when radionuclides are absorbed [24:25] by animals and the human body? And what [24:27] was the main fallout, let's say, in the [24:30] in the uh [24:31] colloquial sense and the actual sense [24:34] from the Chernobyl reactor. [24:37] Let's look a bit what they did next, [24:38] though. [25:45] That's not quite true. We'll see why. [25:58] That actually did happen. [26:08] I think that pretty much summarizes the [26:10] state of things now. [26:11] They uh they built a sarcophagus around [26:13] this reactor, a gigantic tomb, which [26:16] according to some reports is not that [26:18] structurally sound and is in danger of [26:20] partial collapse. [26:22] So, yeah, more difficult efforts are [26:24] ahead. But let's now talk about [26:27] what happened next. [26:29] I'm going to jump to the very end of [26:31] this. The actual way that the accident [26:33] was noticed [26:35] was the spread of the radioactive cloud [26:37] to not so close by Sweden. [26:41] So, it was noticed that folks entering a [26:43] reactor in Sweden had contaminants on [26:45] them, which they thought was coming from [26:47] their own reactor, good first [26:48] assumption. When it was determined that [26:50] nothing was amiss at the reactor in [26:51] Sweden, folks started to analyze wind [26:54] patterns and find out what happened, and [26:55] then it was clear that the USSR had [26:57] tried to cover up the Chernobyl [26:59] accident. But you can't cover up [27:01] fallout. And it eventually spread [27:04] pretty wide [27:05] covering most of Europe and Russia and [27:08] surprisingly not Spain. Lucky them for [27:11] the wind patterns that day or those few [27:13] days. [27:14] So, what happened is a few days after [27:16] the actual accident, a graphite fire [27:19] started to break out because graphite [27:21] when exposed to air, well, you can do [27:23] the chemistry. [27:25] Add graphite plus oxygen, [27:29] you start making carbon dioxide. [27:32] So, graphite burns when it's hot. And as [27:34] you could see from the video, [27:39] where is that nice still of [27:42] mol- burning graphite? Yeah. That [27:44] graphite was pretty hot. So, a lot of [27:45] that smoke included burning graphite and [27:48] a lot of the materials from the reactor [27:50] itself. [27:51] Now, when you build up fission products [27:53] in a reactor and they get volatilized [27:55] like this, the ones that tend to get out [27:57] first would be things like the noble [27:58] gases. So, the whole xenon inventory of [28:00] the reactor was released. It's estimated [28:03] about 100%. [28:05] And I can actually pull up those figures [28:08] when we talk about how much of which [28:10] radionuclide was released. [28:12] Uh that's also a typo. If somebody wants [28:14] to call in, there's no 33 isotope of [28:17] xenon. It's supposed to be 133. [28:20] Um that would be interesting if someone [28:21] wants to call in and say the NAA's got a [28:23] mistake. [28:24] So, 100% of the inventory released. That [28:27] should be pretty obvious because it's a [28:28] noble gas and it just kind of floats [28:30] away. [28:31] The real dangers, though, came from [28:33] iodine 131, [28:35] about 50% [28:37] of a three exabecquerel activity. [28:41] So, we're talking like megacuries or [28:43] might be giga. I can't do that math in [28:45] my head. Lot a lot of radiation. And the [28:47] problem with that is iodine behaves just [28:49] like any other halogen. It forms salts. [28:52] It's rather volatile. Have any of you [28:54] guys played with iodine before? [28:57] Uh no one does Oh, you have. Okay. What [28:59] happens when you play with it? I mean, [29:01] it just [29:02] absorbs the stuff like [29:04] for instance, everything [29:07] and it just reacts with like acids and [29:10] stuff. I haven't done very much with it, [29:12] so. Okay. [29:13] I happen to have extensive practice [29:15] playing with iodine in my home cuz I did [29:17] all the stuff you're not supposed to do [29:18] as a kid. Going to build your own [29:19] chemistry stuff, things that somehow, [29:21] you know, leak out of your local high [29:22] school, somehow. [29:24] Iodine's pretty neat. [29:27] Yeah, it happens sometimes. Um if you [29:29] put iodine in your hand, it actually [29:31] sublimes. The heat from your hand is [29:33] enough to directly go from solid to [29:35] vapor. And so, the iodine was also quite [29:39] volatile. Some of it may have been in [29:40] the form of other compounds, some of it [29:42] may have been elemental, probably not [29:44] likely, but there was certainly some [29:45] iodine vapor, and about half of that was [29:47] released. The problem is then it [29:50] condenses out and falls on anything [29:53] green, anything with surface area. So, [29:56] the biggest danger to the folks living [29:57] nearby was from eating leafy vegetables [30:01] because the the leaves that leaves got [30:03] lots of surface area, iodine deposits on [30:05] them, and it's intensely radioactive for [30:07] a month or so or depositing on the grass [30:10] that cows eat, which led to the problem [30:12] of radioactive milk. [30:14] And so, that's why milk in the Soviet [30:16] Union was banned for such a long time [30:17] because this was one of the major [30:19] sources of iodine contamination. [30:22] The other one which we're worrying about [30:23] now from Fukushima as well is cesium [30:27] which has similar chemistry to sodium [30:29] and potassium, again a rather salty [30:31] compound [30:33] or rather salty element, but it's got a [30:34] half-life of 30 years. [30:37] And if we look it up in the table of [30:38] nuclides [30:40] we'll see what it actually releases. Oh, [30:42] good. It's back online. [30:45] Anyone else notice this broken couple [30:47] days ago? [30:48] Yeah. [30:50] Well, luckily Brookhaven National Lab [30:52] has a good version up, too. But, let's [30:54] grab cesium. [30:57] Yeah, there's plenty out there. [31:00] Cesium 137 [31:02] beta decays to barium, but also gives [31:04] off gamma rays, and most of the decays [31:07] end up giving off one of those gamma [31:10] rays. Let's say a 660 keV gamma ray. So, [31:13] it's both a beta and a gamma emitter. [31:15] Now, which of those types of radiation [31:17] do you think is more damaging to [31:18] biological organisms? [31:20] The beta or the gamma? [31:24] You say the gamma. Why do you say so? [31:27] Doesn't beta get stopped by like skin or [31:28] clothing? It does. [31:30] But, if cesium is better known as [31:33] Yes. [31:35] That's right. So Did I get to tell you [31:37] guys this question, the four cookies [31:39] question? [31:41] Yeah. [31:42] You eat the gamma cookie because most [31:44] gammas that are emitted by the cookie [31:46] simply leave you and irradiate your [31:47] friend, which is going to be the topic [31:48] of piece at number eight. [31:51] You'll see. That's why you guys are [31:52] getting your whole body counts. Speaking [31:54] of, who's who's gotten their whole body [31:56] counts at DHS? [31:58] Awesome. So, that's almost everybody. [32:00] You will need that data for problem set [32:02] eight. So, do schedule it soon. [32:04] Preferably before Thanksgiving so that [32:06] you'll be able to take a look at it. Has [32:08] anyone found anything interesting in [32:09] your spectra? [32:12] Good. [32:14] Glad to hear that. [32:15] But, you do see a potassium peak that [32:18] you can probably integrate and do some [32:20] problems with, right? [32:22] Yeah, cuz you will. Okay. [32:24] Anyway, yeah, it's the betas. That's the [32:27] real killer. The gammas are going to [32:29] leave the cesium, enter your body, and [32:31] most likely come out the other side. [32:33] Because the mass attenuation coefficient [32:37] of six What is it? Water for 660 keV [32:41] gammas, let's find that. [32:44] Table three. [32:46] Let's say you're made mostly of water. [32:53] Water, liquid. That's pretty much [32:55] humans. [32:56] 660 keV is right about here leading to [32:59] about 0.1 cm squared per gram, and with [33:03] a density of 1 g, that's a pretty low [33:06] attenuation of gammas. So, this chart [33:08] actually shows why most of the cesium [33:10] gammas that would be produced from [33:12] ingestion just get right out, but it's [33:13] the betas that have an awfully short [33:15] range. [33:17] Anyone remember the formula for range [33:20] in general? [33:22] Cuz it's going to come back up in our [33:23] discussion of dose and biological [33:25] effects. [33:29] Integral of [33:32] Yep, of stopping power to the negative [33:33] one. [33:36] And that stopping power [33:38] is this simple formula. [33:49] Let's see. What did that come out as? [33:57] log minus beta squared. Ah, simple [34:00] little formula. [34:01] Which I'm not going to expect you guys [34:03] to memorize, so don't worry about it. [34:05] But [34:06] if you integrate this, you find out that [34:07] the range of electrons, even 1 MeV [34:09] electrons in water, is not very high. [34:11] So, most of them are stopped near or by [34:14] the cells that absorb them doing quite a [34:17] bit of damage to the DNA, which is [34:19] eventually what causes mutagenic [34:21] effects, cancer, cell death what we're [34:24] going to talk about for the whole third [34:25] part of the course. [34:28] There's also [34:29] a worry about which organs actually [34:32] absorb these radionuclides, and iodine [34:35] in particular is preferentially absorbed [34:38] by the thyroid. [34:39] So, when we started looking at the [34:40] amount of radioactive substances [34:43] released, remember they said, "Okay, at [34:44] the round [34:46] 26th of April or the 2nd of May or so, [34:48] the release was stopped." Not according [34:50] to our data. That's when the graphite [34:52] fire picked up again. In addition, the [34:55] core of Chernobyl which had undergone a [34:58] mostly total meltdown [35:01] was sitting in a pool [35:04] on top of this concrete pad. [35:07] So, let's just call this liquid stuff [35:09] The actual word that we use in parlance [35:11] is called corium. [35:13] It's our tongue-in-cheek word for every [35:15] element mixed together in a hot [35:17] radioactive soup. [35:19] It's First of all, it started to [35:20] redistribute reacting with any water [35:22] that was present, flashing it to steam, [35:24] and the steam caused additional [35:26] dispersion of radionuclides, and [35:28] eventually [35:29] it burrowed its way through and into the [35:31] ground [35:32] releasing more. You know, it's it's uh [35:35] it's the worst nuclear thing that's ever [35:37] happened in the history of nuclear [35:38] things. [35:40] Quite a mess. [35:42] And luckily, it did sort of taper off [35:44] after this. [35:46] But, let's now look into [35:48] what happens next. And this is the nice [35:51] intro to the third part of the course. [35:53] Iodine is is preferentially uptaken by [35:55] the thyroid gland somewhere right about [35:57] here. [35:58] Um so, has anyone ever heard of the idea [36:00] of taking iodine tablets in the case of [36:02] a nuclear disaster? [36:04] Anyone have any idea why? [36:09] If you saturate your thyroid with [36:11] iodine, then if you ingest radioactive [36:13] iodine, it's less likely to be [36:15] permanently uptaken by the thyroid. So, [36:18] this actually provided some statistics [36:21] on the probability of getting thyroid [36:23] cancer from radioactive iodine [36:26] ingestion. [36:27] Luckily, the statistics were quite poor, [36:29] which means that not many people were [36:31] exposed. It was somewhere around 1,300 [36:34] or so. [36:35] Not like millions. Yeah, 1,300 people [36:38] total. [36:39] But, what I want to jump to is the dose [36:42] versus risk curve. And this is going to [36:44] apply all of our discussion about the [36:47] biological long-term effects of [36:49] radioactivity. [36:50] What's the most striking thing you see [36:53] as part of this curve? [36:56] That's That's right. That's the first [36:58] thing I saw. [37:00] There are six different models for how [37:03] dose and increased risk of cancer [37:05] proceeds, and they all fall within [37:07] almost all the error bars of these [37:09] measurements. [37:11] I'll say again, thank God that the error [37:13] bars are so high because that means that [37:15] the sample size was so low. [37:17] So, when folks say we don't really know [37:19] how much radioactivity causes how much [37:22] cancer, they're right because luckily, [37:24] we don't have enough data from people [37:26] being exposed to know that really, [37:28] really well. [37:29] So, some folks say we should be [37:31] cautious. I kind of agree with them. [37:33] Some folks say the jury's still out. I [37:35] also agree with them. [37:37] But, you can start to estimate these [37:39] sorts of things by knowing how much [37:41] radiation energy was absorbed and to [37:44] what organ. [37:45] So, I think the only technical thing I [37:47] want to go over today [37:49] is the different units of dose because [37:51] as you start to read things in the [37:52] reading, which I recommend you do if you [37:54] haven't been doing yet, you're going to [37:55] encounter a lot of different units of [37:57] radiation dose ranging from things like [38:00] the roentgen [38:04] which responds to a number of [38:06] ionizations. [38:10] You won't usually see this one [38:12] given in sort of biological parlance [38:15] because it's the number of ionizations [38:17] detected by some sort of gaseous [38:19] ionization detector. So, the dosimeters [38:21] that you all put on the Did you guys all [38:23] bring these uh [38:25] these like brass [38:27] pen dosimeters into the reactor? Anyone [38:29] look through them to see what the unit [38:30] of dose was? [38:33] It's going to be in roentgens cuz that's [38:34] directly correlatable to the number of [38:37] ionizations that that dosimeter has [38:39] experienced. You'll also see four dose [38:42] units, two of which are just factors of [38:44] 100 away from each other. There is [38:46] what's called the rad and the gray [38:49] and there's what's called the rem [38:52] and the sievert. [38:57] You'll see these approximated as gray. [39:00] You'll see these as R, and these are [39:03] just usually written as rem. [39:05] So, a rad is simple. [39:08] Let's see. [39:10] 100 rads [39:13] is the same as 1 gray. [39:15] And 100 rem [39:17] is the same as 1 sievert. And for gamma [39:20] for the case of gamma radiation [39:23] these units are actually equal. [39:26] I particularly like this set of units [39:28] because [39:30] this is the kind of SI of radiation [39:32] units because it comes directly from [39:34] measurable, calculatable quantities. [39:36] Like the gray, for example, the actual [39:38] unit of gray [39:40] is joules absorbed [39:42] per kilogram of absorber. [39:45] It's a pretty simple unit to understand. [39:47] If you know how many radioactive [39:49] particles or gammas or whatever that you [39:52] have absorbed, you can multiply that [39:54] number by their energy, divide by the [39:56] mass of the organ absorbing them, and [39:59] you get its dose in gray. [40:01] Sievert [40:02] is gray [40:04] times some quality factor for the [40:07] radiation [40:10] times some quality factor [40:14] for the specific type of tissue. [40:17] What this says is that some types of [40:20] radiation are more effective at causing [40:22] damage than others, and some organs are [40:25] more susceptible to radiation damage [40:27] than others. Does anyone happen to know [40:29] some of the organs that are most [40:31] susceptible to radiation damage? [40:38] Soft tissues like what? Cuz there's lots [40:40] of those. [40:43] Stomach lining, yep. Yep. Huh? [40:46] Lungs? Yep. What else? [40:51] Thyroid. Yep, there there is definitely [40:53] one for thyroid. [40:55] Bone marrow. [40:57] What other ones? [41:00] Y'all, [41:01] brain actually not so much. Eyes. [41:05] And where else do you find rapidly [41:07] dividing cells in your body? [41:10] Skin? Yep, the dermis. [41:14] I don't know about the liver. I would [41:16] assume so. Yeah, it's a pretty active [41:17] organ. [41:19] But when folks are worried about birth [41:20] defects [41:22] reproductive organs. [41:24] The link here that for some reason is [41:26] not said in the reading and I've never [41:28] figured out why is the more often a cell [41:30] is dividing the more susceptible it is [41:33] to gaining cancer risk because every [41:35] cell division is a copy of its DNA. [41:38] And anytime that radiation goes in and [41:41] damages or changes that DNA by either [41:44] causing what's called a thymine bridge [41:45] where two thymine bases get linked [41:47] together or damaging the structure in [41:49] some other way, that gene is then [41:52] replicated and the faster they're [41:54] replicating the more likely cancer is [41:56] going to become apparent. [41:59] I guess that this brings up a question, [42:01] when does a rapidly dividing cell become [42:03] cancer? Is it division number one or is [42:05] it when you notice it? [42:07] I guess I'll leave that question to the [42:08] biologists. [42:10] But if you notice in the reading you'll [42:12] see a bunch of different tissue [42:13] equivalency factors. [42:15] And you'll just see them tabulated and [42:17] say there they are, memorize them. I [42:19] want you to try and think of the pattern [42:21] between them. The tissues that basically [42:23] don't matter like the non-marrow part of [42:26] the bone, dead skin cells, muscles, [42:29] things that basically aren't listed that [42:31] much, they're not dividing very fast. [42:33] But anywhere where you find stem cells, [42:35] the lining of your intestine, your lungs [42:38] which undergo a lot of environmental [42:40] damage need to be replenished, gonads, [42:42] dermis, what was the other one that we [42:44] said? Eyes. [42:46] These are places that are either [42:47] sensitive tissues or they're rapidly [42:49] dividing. [42:51] And so the sievert is kind of an a unit [42:54] of increased equivalent risk. So that if [42:57] you were to absorb one gray of gamma [42:59] rays versus one gray of alphas, you'd be [43:03] about 20 times more likely to incur [43:05] cancer from the alphas than the gammas [43:07] because the amount of localized damage [43:09] that they do to cells. And we'll be [43:10] doing all this in detail pretty soon. [43:13] And then for tissue equivalency factor, [43:15] if you absorb one gray in your whole [43:18] body, which means one joule per kilogram [43:20] of average body mass [43:22] versus one gray directly to the lining [43:24] of your intestine by let's say drinking [43:27] polonium-laced tea [43:29] like happened to a poor ex was it [43:32] current or ex-KGB guy? One of the [43:34] Russian fellows? [43:35] No, it's the KGB guys that poisoned him, [43:37] right? [43:38] Yeah, you guys remember back in 2010 or [43:40] so? [43:41] There was a Russian [43:43] Was he a journalist? [43:46] Ex-KGB. So the current KGB somehow got [43:49] into London and slipped polonium into [43:51] his tea at a Japanese restaurant. [43:56] Uh, really? [44:01] What was his name? [44:04] Let's see. [44:08] Then polonium [44:12] poisoning. Did he actually die? [44:14] Poisoning of Alexander Litvinenko. [44:23] He's not doing too well. [44:27] Illness and poisoning, death and last [44:29] statement. [44:32] At the hospital in London. So, yeah. [44:37] Well [44:39] interesting. That probably has something [44:42] to do with it. [44:44] Yeah? Well [44:46] all right, we're not going to comment on [44:48] the politics, but the the radiation [44:49] effect worked clearly, unfortunately. So [44:53] polonium is an alpha emitter and that [44:55] caused a massive dose of alphas to his [44:58] entire gastrointestinal tract. And that [45:00] caused a whole lot of damage to those [45:02] cells. No time for cancer. It actually [45:04] killed off a lot of those stem cells. [45:06] And the way that radiation poisoning [45:08] would work is that if you kill off the [45:10] stem cells, the villi in your intestine [45:12] die which are responsible for absorbing [45:14] nutrition. You can't uptake nutrition. [45:17] You basically starve. Doesn't matter [45:19] what you eat. It's messed up. [45:22] Yeah. [45:24] That's a really bad way to go. It's [45:26] called gastrointestinal syndrome. And [45:27] we'll be talking about the progressive [45:30] effects of acute radiation exposure [45:33] where you have immediate effects mostly [45:35] relating to the death of some organ that [45:38] is responsible for either cell division [45:40] to keep you alive or in extreme cases [45:43] your neurological system and nerve [45:45] function just stops at the highest [45:46] levels of dose. And that corresponds to [45:48] doses of around 4 to 6 gray. 4 to 6 [45:53] joules per kilogram of villi or body [45:56] mass will kill you pretty quickly with [45:59] very little chance of survival as what [46:00] happened here. [46:02] And so this was the problem with all the [46:03] folks living around and near Chernobyl [46:06] and Ukraine and Belarus and everywhere [46:09] was the contamination was pretty [46:11] extensive. Uh, about 4,000 people are [46:14] estimated to have died or contracted [46:16] cancer from this. I can't believe how [46:18] low that number is, but it's still 4,000 [46:20] people that it should never happen to. [46:22] And effects were felt far away in towns [46:25] like Gomel and I can't read that one cuz [46:27] there's not enough pixels. Um, because [46:29] of the way that let's say rainwater [46:32] whisked or let's say um, the vapor cloud [46:34] from the reactor was whisked away, [46:36] rainwater caused it to fall on certain [46:37] places which still to this day can have [46:40] a really large contamination area. [46:42] And this brings me a little bit into [46:44] what should we be worried about from [46:46] Fukushima? A whole lot less than [46:48] Chernobyl. And the reason why is [46:51] Fukushima did undergo a hydrogen [46:53] explosion and did and still continues to [46:55] release cesium 137 into the ocean. [46:59] Luckily for us the ocean is big. [47:01] And except for fish caught right near [47:04] around Fukushima, even though [47:05] concentrations can be measured at [47:08] hundreds to thousands of times normal [47:10] concentrations, they can still be [47:12] hundreds to thousands of times lower [47:14] than the safe consumption. So a lot of [47:17] the problems you see in the news today, [47:20] I'm not going to call them lies, but I'm [47:21] going to call them half-truths. Folks [47:23] will show the radiation plume of cesium [47:26] 137 escaping from Fukushima and that's [47:28] true. There is radiation escaping. The [47:31] question is is it high enough to cause a [47:34] noticeable increased risk of cancer? [47:38] That's the question that reporters [47:40] should be asking themselves. When they [47:42] only tell the half of the story that [47:43] gets them viewers and they don't tell [47:45] the half of the story to complete the [47:46] story [47:47] and tell you should you be afraid or not [47:49] cuz unfortunately fear brings viewers. [47:52] This is the problem and I'm happy to go [47:54] on camera saying this. This is the [47:56] problem with the media today [47:58] is with a half-truth and with a [48:00] half-story you can incite real panic [48:03] over non-physical issues that may not [48:05] actually exist. And so it's important [48:08] that the media tell the whole story. [48:10] Yes, it's true that Fukushima's leasing [48:12] releasing cesium 137. [48:15] How much though is the question that [48:17] people and the media should be asking [48:18] themselves. [48:20] And in the rest of this course we're [48:21] going to answer the question how much is [48:23] too much. [48:25] So I'm going to stop here [48:26] since it's 2 of 5 of and ask you guys if [48:28] you have any questions on [48:30] the whole second part of the course or [48:31] what happened in Chernobyl. [48:37] Yeah. Yeah, uh, could you explain the [48:39] quality factor or determine how you find [48:41] that? Yep, the quality factor Well, [48:43] there's two quality factors. There's the [48:45] quality factor for radiation which will [48:47] tell you how much let's say how much [48:49] more cell damage a given amount of a [48:52] given type of radiation of the same [48:54] energy will deposit into a cell. [48:57] And the tissue equivalency factor tells [49:00] you, well, what's the added risk of some [49:03] sort of defect leading to cell death or [49:05] cancer or some other defect [49:07] from that radiation absorption. [49:10] So to me the tissue equivalency factor [49:12] is roughly but not completely [49:14] approximated by the cell division rate [49:17] and the radiation quality factor is [49:20] going to be quite proportional to the [49:21] stopping power. [49:23] You'll see a term called the linear [49:27] energy transfer or LET. [49:29] This is the stopping power unit used in [49:32] the biology community. It's stopping [49:34] power. And luckily the Turner reading [49:36] actually says it somewhere buried in a [49:38] paragraph. LET is stopping power. So, if [49:41] you start plotting these two together, [49:43] you might find some striking [49:44] similarities. [49:45] I saw two other questions up here. [49:47] Yeah. Can I ask uh [49:49] Why is Chernobyl still considered like [49:51] off-limits if most of the half-lives of [49:53] these things were like [49:55] on the range of like days to [49:57] like 2 years? I mean, it happened in [49:59] Let's answer that with numbers. So, most [50:01] of the half-lives were on the range of [50:03] days to hours. [50:05] But, still, cesium 137 with a half-life [50:08] of 30 years released a third of an [50:10] exabecquerel. That's one of the major [50:12] sources of contamination still out [50:14] there. In addition, if we scroll down a [50:16] little more, [50:19] there was quite a bit of plutonium [50:20] inventory with a half-life of 24,000 [50:23] years. [50:24] So, on on Friday, we're going to have [50:26] Jake Heckler come in and give his [50:28] Chernobyl travelogue, cuz one of our [50:29] seniors has actually been to Chernobyl. [50:32] And his boots were so contaminated with [50:34] pluto- with plutonium that he can never [50:36] use them again. They got to stay wrapped [50:37] up in plastic. So, some of these things [50:39] last tens of thousands of years. And [50:42] even though there weren't a lot of [50:44] petabecquerels of plutonium released, [50:47] they're alpha emitters. And they're [50:48] extremely dangerous when ingested. [50:51] So, [50:52] uh greens and things that uptake [50:54] radionuclides from the soil, like moss [50:56] and mushrooms, are totally off-limits in [50:59] a large range of this area. [51:02] You will find a video online, if you [51:04] look, of a mayor from a nearby town [51:06] saying, "Oh, they're perfectly safe to [51:07] eat. Look, I eat them right here." And I [51:09] just say read the comments for what [51:11] people have to say about that. [51:13] Not too smart. [51:14] Yeah. So, what what's like the process [51:16] now for like taking care of Chernobyl? [51:18] Like, what do they [51:19] do there? [51:21] The so so the sarcophagus around the [51:22] reactor has got to be shored up to make [51:24] sure that nothing else gets out, cuz [51:26] most of the reactor is still there. [51:28] And let's say rainwater comes in and [51:29] starts washing away more stuff into the [51:31] ground or whatever. We don't want that [51:33] to happen. Soil replacement and disposal [51:36] as nuclear waste is still going on. [51:39] Uh removal of any moss, lichen, [51:40] mushrooms, or anything with a sort of [51:42] radiation exposure has got to keep [51:44] going. But, this the area that it covers [51:47] is enormous. I don't know if we're ever [51:49] going to get rid of all of it. The [51:51] question is, how much do we have to get [51:53] rid of to lower our risk of cancer in [51:55] the area to an acceptable rate? There [51:57] will likely be parts of this that are [51:59] inaccessible for thousands to tens of [52:01] thousands of years, unless we hopefully [52:03] get smarter about how to contain and [52:05] dispose of this kind of stuff. [52:06] We're not there yet. So, right now, the [52:08] methods are [52:09] kind of simple. Get rid of the soil. [52:12] Fence off the area. [52:14] Some folks have been returning, and they [52:16] do get compensation and free medical [52:18] visits because the background levels [52:20] there are elevated, but not that high. [52:23] So, folks have started to move back to [52:25] some of these areas, [52:27] but there's a lot that are still [52:28] off-limits. [52:30] Any other questions? [52:33] Yeah. It's like way worse than the [52:36] atomic bombs dropped on Hiroshima and [52:38] Nagasaki, because those are like fully [52:40] functioning cities at at this point. [52:43] Yeah, the number of deaths from the [52:45] atomic bombs way outweighed the number [52:47] of deaths that will ever happen from [52:49] Chernobyl. But, like, why is the [52:50] radiation from those bombs not [52:54] Oh, not that much of an issue? Yeah. [52:55] There wasn't that much material. The not [52:57] There wasn't that much nuclear material [52:59] in an atomic bomb. [53:00] What did you guys get for the radius of [53:02] the critical sphere of plutonium? [53:04] 4.7 [53:06] cm. [53:06] Centimeters? Yeah. Yeah. [53:08] Doesn't take a lot. It takes, you know, [53:10] 10, 20 kilos to make a weapon. [53:14] Now, we're talking about tons or [53:16] thousands of tons of material released. [53:18] So, an atomic weapon doesn't kill by [53:20] radiation. It kills by pressure wave, [53:23] the heat wave. [53:25] The fallout is not as much of a concern. [53:27] And we'll actually be looking at the [53:29] data from Hiroshima and Nagasaki [53:31] survivors to see who got what dose, what [53:33] increased cancer risk did they get, and [53:36] is this the [53:37] is the idea that every little bit of [53:39] radiation is a bad thing actually true? [53:41] The answer is, you can't say yes or no. [53:44] No one can say yes or no, because we [53:46] don't have good enough data. [53:48] The error bars support either [53:49] conclusion. [53:51] So, I'm not going to go on record and [53:52] say a little bit of radiation is okay. [53:54] The data's not out yet. [53:56] Hopefully, it never will be. [54:00] Any other questions? [54:03] All right. I'll see you guys on [54:05] Thursday.