1 00:00:06,160 --> 00:00:12,250 you 2 00:00:15,520 --> 00:00:13,560 [Music] 3 00:00:18,340 --> 00:00:15,530 what I'd like to talk to you guys today 4 00:00:20,320 --> 00:00:18,350 about is some of the work we did in 2015 5 00:00:22,150 --> 00:00:20,330 looking at some of these small stars 6 00:00:23,679 --> 00:00:22,160 that may potentially build up a biotic 7 00:00:25,240 --> 00:00:23,689 oxygen in their atmospheres and I want 8 00:00:26,290 --> 00:00:25,250 to take a particular I want to take a 9 00:00:29,920 --> 00:00:26,300 couple of slides and actually talk about 10 00:00:32,290 --> 00:00:29,930 Proxima Centauri B so just to orient 11 00:00:36,430 --> 00:00:32,300 everyone with the big picture I'm going 12 00:00:38,650 --> 00:00:36,440 to bash on M dwarves for a while so not 13 00:00:42,310 --> 00:00:38,660 an exhaustive list of the pros and cons 14 00:00:43,869 --> 00:00:42,320 but potentially M dwarfs have very long 15 00:00:46,060 --> 00:00:43,879 main sequence lifetimes they have very 16 00:00:48,900 --> 00:00:46,070 stable habitable zones over long periods 17 00:00:51,310 --> 00:00:48,910 of time which is great for evolving life 18 00:00:52,930 --> 00:00:51,320 they are also the most abundant star 19 00:00:55,119 --> 00:00:52,940 type and they are more likely to have 20 00:00:56,740 --> 00:00:55,129 rocky planets as some of Robbie's work 21 00:01:00,880 --> 00:00:56,750 pointed out looking at occurrence rates 22 00:01:03,010 --> 00:01:00,890 for M dwarves on the con side they have 23 00:01:04,180 --> 00:01:03,020 very long super luminous pre main 24 00:01:05,980 --> 00:01:04,190 sequence lifetimes which could 25 00:01:07,779 --> 00:01:05,990 potentially dehydrate planets or turn 26 00:01:09,999 --> 00:01:07,789 gas giants into terrestrial planets as 27 00:01:12,999 --> 00:01:10,009 some of those Roderigo Lugar's work 28 00:01:14,980 --> 00:01:13,009 showed they may start out dry initially 29 00:01:18,130 --> 00:01:14,990 to start with just no water at all 30 00:01:19,330 --> 00:01:18,140 depending on where they form the planets 31 00:01:20,920 --> 00:01:19,340 in their habitable zones could be 32 00:01:22,510 --> 00:01:20,930 tidally locked which has a number of 33 00:01:25,390 --> 00:01:22,520 effects and I'm certainly not going to 34 00:01:27,580 --> 00:01:25,400 touch on that and flares as we've heard 35 00:01:29,649 --> 00:01:27,590 several times today could have a very 36 00:01:32,170 --> 00:01:29,659 detrimental effect on a planet even if 37 00:01:34,420 --> 00:01:32,180 it does have an ozone shield but one of 38 00:01:37,480 --> 00:01:34,430 the things that funk Ann and myself 39 00:01:39,370 --> 00:01:37,490 pointed out in 2014-2015 is that some of 40 00:01:41,649 --> 00:01:39,380 these planets could potentially build up 41 00:01:43,060 --> 00:01:41,659 oxygen in their atmospheres to the level 42 00:01:45,819 --> 00:01:43,070 where we might be able to see it and 43 00:01:48,399 --> 00:01:45,829 detect it as a false positive so what do 44 00:01:52,149 --> 00:01:48,409 I mean by a false positive if we look at 45 00:01:54,280 --> 00:01:52,159 the Earth's history and particularly the 46 00:01:56,950 --> 00:01:54,290 evolution of the atmospheric oxygen 47 00:01:58,960 --> 00:01:56,960 budget on the earth the Archaean is 48 00:01:59,620 --> 00:01:58,970 noted to have very low oxygen and then 49 00:02:02,139 --> 00:01:59,630 at the goe 50 00:02:04,780 --> 00:02:02,149 you see a rise of oxygen to between one 51 00:02:07,030 --> 00:02:04,790 and 10 percent classically this estimate 52 00:02:09,310 --> 00:02:07,040 has been revised downward from some NOAA 53 00:02:12,160 --> 00:02:09,320 plan Topsy's work so at most it might be 54 00:02:15,720 --> 00:02:12,170 0.1% of the present atmospheric level of 55 00:02:18,039 --> 00:02:15,730 oxygen which is not a lot of oxygen and 56 00:02:20,020 --> 00:02:18,049 if you think about this from a detection 57 00:02:21,160 --> 00:02:20,030 perspective and I misses again broad 58 00:02:22,800 --> 00:02:21,170 brushstrokes I'm sure we're going to 59 00:02:25,650 --> 00:02:22,810 hear more about this likely 60 00:02:27,540 --> 00:02:25,660 Sarab Homer if you look at this from 61 00:02:30,150 --> 00:02:27,550 broad brushstrokes you can detect oxygen 62 00:02:34,020 --> 00:02:30,160 if it's greater than about 1% of modern 63 00:02:37,290 --> 00:02:34,030 oxygen you can detect ozone for about 64 00:02:39,920 --> 00:02:37,300 0.1% of modern oxygen levels and that's 65 00:02:42,870 --> 00:02:39,930 from a 2003 paper from Antigonus agora 66 00:02:45,390 --> 00:02:42,880 now that means that there could 67 00:02:47,550 --> 00:02:45,400 potentially be vast portions of our 68 00:02:49,979 --> 00:02:47,560 geologic history where we might not see 69 00:02:51,059 --> 00:02:49,989 life but there could be life happening 70 00:02:55,259 --> 00:02:51,069 on the surface of that planet as 71 00:02:57,600 --> 00:02:55,269 mentioned earlier by Nikki and the 72 00:02:59,550 --> 00:02:57,610 corollary here is that a false-positive 73 00:03:01,890 --> 00:02:59,560 could be any amount of oxygen that 74 00:03:04,080 --> 00:03:01,900 exceeds the amount of oxygen we expected 75 00:03:09,210 --> 00:03:04,090 for Earth's history where oxygen was a 76 00:03:17,370 --> 00:03:09,220 factor so how are we applying this to 77 00:03:20,520 --> 00:03:17,380 Proxima Centauri P I want to point out 78 00:03:23,160 --> 00:03:20,530 first that with any modeling effort it 79 00:03:25,020 --> 00:03:23,170 is important to state explicitly what 80 00:03:28,319 --> 00:03:25,030 your underlying assumptions are for that 81 00:03:31,259 --> 00:03:28,329 model now for our model we're 82 00:03:33,180 --> 00:03:31,269 considering global redox balances one of 83 00:03:35,210 --> 00:03:33,190 the the gold standards for the 84 00:03:38,400 --> 00:03:35,220 self-consistent steady-state of 85 00:03:39,750 --> 00:03:38,410 atmospheric composition and global redox 86 00:03:42,420 --> 00:03:39,760 balance is essentially the balance 87 00:03:45,330 --> 00:03:42,430 between reducing power coming into the 88 00:03:46,620 --> 00:03:45,340 atmosphere either through volcanic gases 89 00:03:49,050 --> 00:03:46,630 being introduced in the atmosphere or 90 00:03:51,930 --> 00:03:49,060 oxidative weathering so that's a sink 91 00:03:54,240 --> 00:03:51,940 fraction or a net source for hydrogen 92 00:03:55,979 --> 00:03:54,250 essentially balanced by the escape of 93 00:03:58,319 --> 00:03:55,989 hydrogen into space and the burial of 94 00:04:00,270 --> 00:03:58,329 reducing constituents now because my 95 00:04:02,610 --> 00:04:00,280 planet is lifeless a lot of these things 96 00:04:05,400 --> 00:04:02,620 go away which makes global redox balance 97 00:04:08,129 --> 00:04:05,410 a much easier equation to solve and for 98 00:04:10,530 --> 00:04:08,139 us global reacts balance is satisfied 99 00:04:14,340 --> 00:04:10,540 when we balance volcanic outgassing by 100 00:04:16,020 --> 00:04:14,350 the escape of hydrogen to space you can 101 00:04:17,940 --> 00:04:16,030 certainly make very different 102 00:04:19,500 --> 00:04:17,950 assumptions about your planet for 103 00:04:21,750 --> 00:04:19,510 example you can choose not to satisfy 104 00:04:23,670 --> 00:04:21,760 global reax valve but you must state 105 00:04:26,370 --> 00:04:23,680 explicitly that you are doing so and has 106 00:04:28,650 --> 00:04:26,380 a debt it has a very different effect on 107 00:04:31,830 --> 00:04:28,660 your model results so sitting in 108 00:04:33,270 --> 00:04:31,840 explicitly as an important 109 00:04:35,279 --> 00:04:33,280 and what this looks like from a 110 00:04:37,679 --> 00:04:35,289 schematic level at least for M star 111 00:04:39,179 --> 00:04:37,689 planets well let me back up it looks 112 00:04:40,469 --> 00:04:39,189 like this for most terrestrial planets 113 00:04:42,809 --> 00:04:40,479 but it looks very different in 114 00:04:43,800 --> 00:04:42,819 application for M star plants is in the 115 00:04:46,830 --> 00:04:43,810 upper part of the atmosphere you can 116 00:04:49,499 --> 00:04:46,840 photolyze co2 and you can make CO and O 117 00:04:51,330 --> 00:04:49,509 2 and stoichiometric quantities and then 118 00:04:53,309 --> 00:04:51,340 that Co no.2 can flow into the lower 119 00:04:55,740 --> 00:04:53,319 atmosphere where water vapor photolysis 120 00:04:58,770 --> 00:04:55,750 catalyzes the recombination of co no 121 00:05:01,350 --> 00:04:58,780 back into CO 2 and part of the 2015 122 00:05:03,779 --> 00:05:01,360 paper we outlined that this process is 123 00:05:06,149 --> 00:05:03,789 fairly slower around M dwarfs and so one 124 00:05:09,209 --> 00:05:06,159 of the big questions is what happens to 125 00:05:11,610 --> 00:05:09,219 the ce o-- and the O 2 in the solution 126 00:05:13,290 --> 00:05:11,620 in the ocean global ocean and they could 127 00:05:15,629 --> 00:05:13,300 potentially recombine but those aqueous 128 00:05:16,709 --> 00:05:15,639 reaction rates are relatively unknown so 129 00:05:20,429 --> 00:05:16,719 that's why there's a big question mark 130 00:05:23,459 --> 00:05:20,439 down here and so I mentioned before that 131 00:05:27,689 --> 00:05:23,469 this catalysis is relatively slow in M 132 00:05:29,550 --> 00:05:27,699 dwarf planets and that's a relic of the 133 00:05:30,719 --> 00:05:29,560 fact that the spectra that you're seeing 134 00:05:32,969 --> 00:05:30,729 at the top of the atmosphere is very 135 00:05:36,809 --> 00:05:32,979 different for solar-type stars as 136 00:05:39,570 --> 00:05:36,819 compared to M dwarf stars here you can 137 00:05:42,659 --> 00:05:39,580 see that a sun-like star has very bright 138 00:05:44,999 --> 00:05:42,669 in the near UV and it's fairly dim in 139 00:05:47,579 --> 00:05:45,009 the fuv but for M stars particularly 140 00:05:50,550 --> 00:05:47,589 Proxima Centauri it's essentially flat 141 00:05:53,850 --> 00:05:50,560 across the UV which gives it a very high 142 00:05:55,260 --> 00:05:53,860 f UV to n UV ratio and I zoomed in here 143 00:05:57,839 --> 00:05:55,270 just a little bit so that you can see 144 00:06:00,600 --> 00:05:57,849 and these are 1 au equivalent so these 145 00:06:01,760 --> 00:06:00,610 are integrated to be 1360 Watts premier 146 00:06:04,829 --> 00:06:01,770 squared at the top of the atmosphere 147 00:06:06,899 --> 00:06:04,839 that's why you're seeing relatively low 148 00:06:08,939 --> 00:06:06,909 contributions of UV and visible 149 00:06:10,559 --> 00:06:08,949 radiation from process and it's mostly 150 00:06:12,629 --> 00:06:10,569 in the infrared where you're getting 151 00:06:14,700 --> 00:06:12,639 most of the radiation but you can see 152 00:06:16,829 --> 00:06:14,710 that because it's relatively flatted 153 00:06:19,679 --> 00:06:16,839 it's a very different character f UV to 154 00:06:21,689 --> 00:06:19,689 n UV ratio which affects the chemistry 155 00:06:23,490 --> 00:06:21,699 because a lot of the fatalis is of 156 00:06:26,730 --> 00:06:23,500 important constituents in the atmosphere 157 00:06:30,340 --> 00:06:26,740 like co2 and o2 and water vapor happen 158 00:06:34,280 --> 00:06:30,350 in a relatively narrow UV region 159 00:06:39,860 --> 00:06:37,280 the 2015 paper pointed out that the fuv 160 00:06:42,680 --> 00:06:39,870 to nuv ratio was the dominant control 161 00:06:44,900 --> 00:06:42,690 for the abiotic production of oxygen in 162 00:06:48,170 --> 00:06:44,910 a terrestrial planetary atmosphere so 163 00:06:51,020 --> 00:06:48,180 these are 5% co2 cases located at about 164 00:06:53,390 --> 00:06:51,030 1.3 au equivalent so they're relatively 165 00:06:56,530 --> 00:06:53,400 far out in the habitable zone relatively 166 00:06:59,360 --> 00:06:56,540 colder and that decrease in radiation 167 00:07:00,740 --> 00:06:59,370 allows essentially the buildup of co2 168 00:07:03,620 --> 00:07:00,750 because we assume that there's a 169 00:07:05,930 --> 00:07:03,630 carbonate silicate feedback cycle but as 170 00:07:09,050 --> 00:07:05,940 you see for a sun-like star you get 171 00:07:11,680 --> 00:07:09,060 relatively low levels of abiotic oxygen 172 00:07:14,230 --> 00:07:11,690 vanishingly small what we think is can 173 00:07:15,950 --> 00:07:14,240 contend 174 00:07:19,010 --> 00:07:15,960 commensurate with what we see in the 175 00:07:21,140 --> 00:07:19,020 Archaean but as you change the fuv to 176 00:07:24,230 --> 00:07:21,150 any view ratio it's especially 4k 177 00:07:25,790 --> 00:07:24,240 dwarves and M dwarves you see that the 178 00:07:28,580 --> 00:07:25,800 amount of oxygen you produce from co2 179 00:07:30,350 --> 00:07:28,590 photolysis is actually on the order of a 180 00:07:31,670 --> 00:07:30,360 few percent in some cases and the new 181 00:07:34,580 --> 00:07:31,680 result here is that Proxima Centauri 182 00:07:37,970 --> 00:07:34,590 plots off the plot which is never 183 00:07:40,760 --> 00:07:37,980 encouraging and so you get up to about 184 00:07:43,130 --> 00:07:40,770 15% oxygen from a co2 dominated 185 00:07:45,680 --> 00:07:43,140 atmosphere in this case and this is a 186 00:07:49,670 --> 00:07:45,690 very limited part of parameter space if 187 00:07:51,740 --> 00:07:49,680 you include more co2 you get more oxygen 188 00:07:53,810 --> 00:07:51,750 it's just a consequence of the fact that 189 00:07:56,390 --> 00:07:53,820 your photo lysing co2 but if you have 190 00:07:59,060 --> 00:07:56,400 less co2 you will see less oxygen that's 191 00:08:01,190 --> 00:07:59,070 this bottom panel here where we varied 192 00:08:03,710 --> 00:08:01,200 the amount of co2 in the atmosphere and 193 00:08:05,780 --> 00:08:03,720 watched as the oxygen scaled with it and 194 00:08:07,700 --> 00:08:05,790 so I've put this dashed line here which 195 00:08:10,160 --> 00:08:07,710 is my threshold for a false positive 196 00:08:12,110 --> 00:08:10,170 oxygen signal and you can see that for 197 00:08:14,090 --> 00:08:12,120 large amounts of co2 which is 198 00:08:15,860 --> 00:08:14,100 commensurate with being located in the 199 00:08:17,360 --> 00:08:15,870 outer regions of the habitable zone it's 200 00:08:19,790 --> 00:08:17,370 entirely possible that you could build 201 00:08:22,640 --> 00:08:19,800 up some oxygen above that threshold but 202 00:08:25,370 --> 00:08:22,650 for relatively small amounts of co2 that 203 00:08:26,780 --> 00:08:25,380 oxygen false-positive does go away and 204 00:08:28,520 --> 00:08:26,790 you can include the effect of other 205 00:08:31,340 --> 00:08:28,530 reducing gases like more hydrogen 206 00:08:33,140 --> 00:08:31,350 methane ammonia outgassing for example 207 00:08:35,060 --> 00:08:33,150 which is not really a thing on earth but 208 00:08:38,300 --> 00:08:35,070 could be on other planets composition is 209 00:08:40,280 --> 00:08:38,310 a thing it actually decreases the amount 210 00:08:42,820 --> 00:08:40,290 of oxygen you can accumulate in the 211 00:08:47,320 --> 00:08:42,830 atmosphere but because these planets are 212 00:08:49,180 --> 00:08:47,330 and it's never easy the likelihood of Co 213 00:08:50,829 --> 00:08:49,190 runaway which is a consequence of some 214 00:08:52,500 --> 00:08:50,839 of the modeling we've done has been 215 00:08:55,769 --> 00:08:52,510 outlined by Kevin Donnelly in the past 216 00:08:58,960 --> 00:08:55,779 the Co runaway becomes a more 217 00:09:01,000 --> 00:08:58,970 problematic issue it occurs more often 218 00:09:05,530 --> 00:09:01,010 especially when you introduce more 219 00:09:07,180 --> 00:09:05,540 complex chemistry in these cases and so 220 00:09:10,030 --> 00:09:07,190 what I want you to take away from this 221 00:09:11,769 --> 00:09:10,040 talk is that with the same volcanic al 222 00:09:15,160 --> 00:09:11,779 casting and boundary conditions Proxima 223 00:09:17,860 --> 00:09:15,170 Centauri B behaves much like the other M 224 00:09:20,500 --> 00:09:17,870 star planets in that it can accumulate 225 00:09:23,110 --> 00:09:20,510 oxygen potentially above this threshold 226 00:09:26,860 --> 00:09:23,120 that we've assumed for a false positive 227 00:09:29,710 --> 00:09:26,870 from Earth's history but what you should 228 00:09:32,829 --> 00:09:29,720 note is that it also is dependent on the 229 00:09:35,650 --> 00:09:32,839 the UV spectrum of the hosts are for so 230 00:09:38,050 --> 00:09:35,660 for F and G and K stars they don't 231 00:09:40,600 --> 00:09:38,060 really show the same sort of behavior so 232 00:09:42,760 --> 00:09:40,610 for much of the planets that we may 233 00:09:44,829 --> 00:09:42,770 observe in the far future it's entirely 234 00:09:47,230 --> 00:09:44,839 likely that this mechanism is not going 235 00:09:49,750 --> 00:09:47,240 to be a large source of uncertainty in 236 00:09:52,900 --> 00:09:49,760 the amount of oxygen we might detect and 237 00:09:56,410 --> 00:09:52,910 this result also is a fairly dependent 238 00:09:58,389 --> 00:09:56,420 on which modelling group has contributed 239 00:10:00,150 --> 00:09:58,399 these results and so we are currently 240 00:10:02,350 --> 00:10:00,160 well underway in a model enter 241 00:10:03,819 --> 00:10:02,360 comparison to try to route out exactly 242 00:10:05,829 --> 00:10:03,829 what's driving the differences between 243 00:10:08,620 --> 00:10:05,839 whether or not you generate abiotic 244 00:10:14,240 --> 00:10:08,630 oxygen and so with that I'd like to take 245 00:10:18,900 --> 00:10:16,889 we have we have time for two to three 246 00:10:22,800 --> 00:10:18,910 questions here we are on time our 247 00:10:26,670 --> 00:10:22,810 speakers are awesome go to micron I was 248 00:10:27,840 --> 00:10:26,680 precisely on time thank you yeah let me 249 00:10:31,410 --> 00:10:27,850 repeat on NASA Goddard Space Flight 250 00:10:33,780 --> 00:10:31,420 Center yeah so the here you discussed 251 00:10:37,850 --> 00:10:33,790 the effect of the far UV and the near UV 252 00:10:42,449 --> 00:10:37,860 of photochemistry and - atmospheres but 253 00:10:44,759 --> 00:10:42,459 the we find that deflect of XUV EUV an 254 00:10:46,819 --> 00:10:44,769 x-ray are much more important especially 255 00:10:49,470 --> 00:10:46,829 when it comes to photo ionization 256 00:10:52,530 --> 00:10:49,480 because the process that you discover 257 00:10:54,360 --> 00:10:52,540 that they described is only works when 258 00:10:57,329 --> 00:10:54,370 everything is neutral and nice however 259 00:10:59,130 --> 00:10:57,339 it's not the case and we found and I 260 00:11:01,829 --> 00:10:59,140 don't know you didn't mention our paper 261 00:11:04,350 --> 00:11:01,839 when we will discuss the approxima be 262 00:11:07,740 --> 00:11:04,360 there atmospheric was escape due to the 263 00:11:09,269 --> 00:11:07,750 iron escape mechanism which we find very 264 00:11:17,280 --> 00:11:09,279 very important especially when you have 265 00:11:20,340 --> 00:11:17,290 a high high fluxes the energy fluxes and 266 00:11:21,530 --> 00:11:20,350 in EU V which is basically the case for 267 00:11:23,850 --> 00:11:21,540 a lot of Emsworth 268 00:11:25,470 --> 00:11:23,860 we're breaking a with exception of 269 00:11:27,720 --> 00:11:25,480 probably couple of very very weakly 270 00:11:29,880 --> 00:11:27,730 that's one thing the second is magnetic 271 00:11:31,889 --> 00:11:29,890 field we know that the Proxima Centauri 272 00:11:34,710 --> 00:11:31,899 has a magnetic field three hundred times 273 00:11:37,560 --> 00:11:34,720 stronger than our Sun so that means that 274 00:11:39,630 --> 00:11:37,570 at the distance of 0.05 the magnetic 275 00:11:41,400 --> 00:11:39,640 field the BZ component will be 276 00:11:43,620 --> 00:11:41,410 comparable to the magnetic field of 277 00:11:44,610 --> 00:11:43,630 Earth which will destroy the magnetic 278 00:11:47,220 --> 00:11:44,620 field so you 279 00:11:49,079 --> 00:11:47,230 so the megiddo steric effect come there 280 00:11:52,530 --> 00:11:49,089 become extremely important if not 281 00:11:54,480 --> 00:11:52,540 defining in the the whole climate models 282 00:11:57,150 --> 00:11:54,490 were on the assumption that everything 283 00:11:59,639 --> 00:11:57,160 is nice and soft so that will change the 284 00:12:01,620 --> 00:11:59,649 whole dynamics I totally agree with your 285 00:12:03,090 --> 00:12:01,630 opinion about the x-ray being a large 286 00:12:04,710 --> 00:12:03,100 component that and magnetic fields are 287 00:12:07,380 --> 00:12:04,720 very important but we do have some 288 00:12:08,490 --> 00:12:07,390 evidence that there are M star planets 289 00:12:10,620 --> 00:12:08,500 like the trampa system that are 290 00:12:12,590 --> 00:12:10,630 compatible with being a few percent 291 00:12:15,480 --> 00:12:12,600 water and if you've completely destroyed 292 00:12:17,670 --> 00:12:15,490 your atmosphere by drag offs and where's 293 00:12:19,500 --> 00:12:17,680 the water component so it seems like 294 00:12:21,329 --> 00:12:19,510 there's a disconnect there between what 295 00:12:23,400 --> 00:12:21,339 we're just seeing in nature and what 296 00:12:25,350 --> 00:12:23,410 we're modeling which is I agree a big 297 00:12:28,139 --> 00:12:25,360 issue we will have 298 00:12:29,609 --> 00:12:28,149 to go back to the next question if maybe 299 00:12:31,169 --> 00:12:29,619 we can continue it right there again the 300 00:12:34,439 --> 00:12:31,179 show some of the results of simulations 301 00:12:37,590 --> 00:12:34,449 for trapeze yeah after much shorter 302 00:12:40,079 --> 00:12:37,600 question your fuv is it is it dominated 303 00:12:41,309 --> 00:12:40,089 by Diamond alpha absolutely and then in 304 00:12:43,199 --> 00:12:41,319 that case the cross-sections of 305 00:12:43,710 --> 00:12:43,209 different molecules will be different 306 00:12:47,220 --> 00:12:43,720 right 307 00:12:48,449 --> 00:12:47,230 so yes the that also disconnect is 308 00:12:50,489 --> 00:12:48,459 because we're assuming that it's an 309 00:12:53,400 --> 00:12:50,499 average absorption across a wave band so 310 00:12:54,809 --> 00:12:53,410 that that is something that we can do 311 00:12:58,259 --> 00:12:54,819 better in the future and it is also 312 00:13:02,069 --> 00:12:58,269 pressured a payment yes yeah yeah okay 313 00:13:03,569 --> 00:13:02,079 we have noble questions all right so 314 00:13:04,710 --> 00:13:03,579 we'll go to the next speaker