On the day I'd like to talk about our work on artificial muscles. I met some very beautiful women in Korea about a year ago. When I got closer to them they were less beautiful. Because they just didn't have enough muscle. In order to smile we're from. Or show excitement. You need lots of muscles in your face and even Here is her body's powered by a few muscles so she just didn't have enough capability for expressing it for appearing human. But this one seemed to object to something I did I think I was innocent but. This is again a Z. More seriously. There's a need for humanoid robots for a variety of different applications specially as our population is becoming older and probably the oldest person in this room so I'm probably the one who's in greatest need of eventually helping. As people become less capable of handling our own affairs because a muscular degeneracy there's a need for helper robots. And there are so many people in the recent wars who have lost their limbs that war in this case because of accidents. We would like to be able to provide artificial muscles for prosthetic limbs that are much more functional than the present limbs which look like they come from the Civil War period. In fact one of the most important. Manufactures of artificial limbs was started making the. From barrel. Wood from barrels at the time of the civil war. A fundamental problem for today's humanoid robots. Is the method of which they're powered. They can be very athletic league capable. This Honda robot can run fast. It can climb stairs. But a very active humanoid robots cannot perform wrong. Unless they're plugged into a wall socket. In other words this one hundred robot functions for about thirty minutes per battery charge in the batteries have to be charged up for about four hours. So. No we've discovered a number of the types of artificial muscles that are being investigated around the world. And so. John Maine realizing that. You can store a lot more electrical energy in a fuel a lot more energy in a fuel than you can in a battery. He came to me from DARPA the Defense Advanced Research Projects Agency and said he would like me to develop fuel powered muscles for humanoids or robots that could fight ahead of American soldiers take the bullets for American soldiers and enter into a shot of Iraq a hall to fight on. So some people say the Irish already do this. Now. Some of the types of artificial muscles we've discovered in the past. Just include first of all conducting pollo artificial muscles we long ago proposed that you could use the dimensional change that results from the turkey lation of ions into conducting polymers this is a very trivial type of dimensional change the ions have a volume in the polymer has a volume us Terkel a one in the other and you get an expansion that expansion is as it can provide very strong artificial muscles. These muscles have been investigated from the time in which I first proposed them but they're still not commercial. Because they have a number of problems. First of all the process of intercalation in the intercalation is not completely reversible. There's a problem of rate. Also if you take the. Electrolyte it's electrolyte based because electrochemical if you take the electrolyte down to low temperature your device performs much more slowly artificial muscle does so we devised a new type A second type of artificial muscle which is based on carbon nanotubes this is a one in which a theoretically conceived it and we didn't do anything experimentally until we got money from dark again. But in the first hour of the program we were able to max to make artificial muscles that operated. In this case this this type of artificial muscle operates as a battery basically pleasure. Terkel aiding material. The second type of artificial muscle operates as a supercapacitor because the counter charge to charge injected on the carbon nanotubes is in the electrolyte rather than a Turk lated in the carbon nanotube material. The car is the carbon energy. Artificial muscles work because the giant amount of charges can be injected in the carbon nanotube as a result of the giant amount of giant surface areas of these carbon nanotubes the actuation mechanism is very interesting at low degrees of actual ation but low degrees of actuation you get first more actual or strokes. It's quantum mechanical it. Load agrees of charge interaction it depends upon whether you're injecting charge and bonding or bottles or non bonding or pillows you get different signs. Signs of dimensional changes. So it's very sensitive to the Kyra our T. of the carbon nanotube but. The real you know when you get to do large degrees of charge interaction the actual ition mechanisms it becomes trivial. And that is basically put a large amount of charge onto a object that wants to expand and that's the principal mechanism by which these carbon nanotube artificial muscles work you can describe this mechanism using the Lindemann Quezon basically that the charge injection causes a change in the surface tension of the material as a function of change in Portage which is equal to minus the Ariel charge density and if you go through and insert parameters you see first of all of that you're actually restraining will go inversely as your Young's modulus will be proportional to the capacitance and so forth. With our carbon nanotube artificial muscles. We're able to generate about one hundred times the force per unit area of natural muscle these carbon nanotube artificial muscles can provide strain rates and others actually. Rates which are about twice that of natural muscle. The problem with the original carbon nanotube artificial muscles was that they were at very high loads they creep and now there is a irreversibly one on under one dimensional changes as then you don't mind irreversible dimensional changes for an artificial muscle. But more recently we've been able to make carbon nanotube artificial muscles using Nana to be Aryans as that we have been able to spin from our carbon nanotube forests these are very strong yarns that have very high surface area in the gendarmes provide very low degree of a creep. Even when loaded with very high street stress levels. These again. But recyclable family tree. You can see that there's a box like region in the curves cycle tram a tree curves and that indicates that these carbon nanotube yarns are acting like supercapacitors if you look at strain as a puncture of old as you can see the actually if you can reach about a half a percent. This is compared to for example for a high modulus fair lecture exterior actually of strain is about a tenth of a percent. If you go to a little larger less. Fair like tricks you can get a larger actuator strain but you have the disadvantage that your modulus is decreasing. We all know that an explorer soldier can pack food in Iraq sack and go out into a mountain and explore or. The fight for months without any other supplies. On the other hand humanoid robot. After half an hour of worth of vigorous exercise. I must get recharged So nature has found a very successful way to power the muscles. In our bodies. From a viewpoint of neighboring humankind's activities and we're trying from a two to in some ways mimic the way nature is powering her muscles. Now there's two types of artificial muscles. That. Are fewer powered that we recently have invented one. Is very exciting from a viewpoint of fundamental science but it doesn't work very well right now. The other is very very simple very sort of rather trivial from a viewpoint of fundamental science but it works very well so I'll tell you both. Our first type of artificial muscles the actuating electrodes are simultaneously it's again electro chemical device but each of the each electrode acts simultaneously. As for converting a chemical chemical energy to electrical energy it works to store this electrical energy in the form of injected charge. And finally it acts as an artificial muscle electrode to use changes in injected charge to cause dimensional changes. The second type of artificial muscle is one in which we use a shaped memory alloy coaches shape memory our lawyer. With nanoparticles nano particles of catalyst. When these particles nanoparticle catalyst are exposed to a. Of oxygen fuel mixture such as methanol air. They the catalyst converts the. This mixture to heat. And to account it releases by cause a chemical transformations to produce water and so forth and that. Causes the memory material to heat up and we can generate. Very fast actuator responses and we can generate forces that are one hundred times higher per unit area then for natural muscles. So the military is very interested in these fuel powered artificial muscles for example exoskeletons for first responders were for the people in the military. Imagine if you can if the rest of your let's say exoskeleton was able to bear the loads the muscles themselves could enable a soldier or two to pick up at least one theoretically to one hundred over one hundred times larger with higher weights and he could or lift up in fact the observed experimental data on individual I ship member wires we can see generate one hundred times the force per unit five hundred times the force per unit area of natural muscle natural muscle can do about three tenths of the mega Pascale of force generation now for an ordinary fuel cell. I mean these these first type of muscles act like a fuel cell to start with. Ordinary fuel cell you deliver to one electrode. Partment hydrogen for example or methanol and the other side you have oxygen and you generate. Electrical energy as a consequence of ion. Hydrogen being converted to hydrogen ions which to transport across the electrolyte combine with oxygen to make water. There's a twist for our fuel private artificial muscles and that is that an open open circuit conditions. They can convert the chemical energy in the fuel. To electrical energy or to. To mechanical energy and here to discuss this. I talk about first of our earlier types of electrically powered carbon nanotube artificial muscles where you know we're injecting using a battery to inject electrons in one electrode schematically represented by an individual Nana Tube and reality could be a sheet or a yarn containing trillions of nano tubes and the other side of course we're creating holes. We're getting to make changes of both of those electrodes. Now in the case of. We did not really understand what was happening for our new type of fuel powered carbon nanotube artificial muscles. It turns out that when you inject hydrogen into the hydrogen Paribas fuel cell that you get actuation of that electrode you really get chemical to open. Because the hydrogen in the presence of catalyst without the need for the other electrode. Provides chemical doping with the carbon. Now. What happens on the other side. You also get actuation and the other side. What happens is without the movement. Of hydrogen between the two electrodes because you can't have a hot movement of hydrogen is between two electrodes unless you had Alectryon is moving in the. External circuitry what happens here is the oxygen steals hydrogen from the SYTYCD electrolyte creates water and then you say well that's an irreversible system. But what happens is when you close the circuit. Now you can harvest the Selectric energy which is now stored in the carbon nanotubes you get movement of protons between the two electrodes. The reverse actuation process and you replenish the hydrogens that are in the electrolyte. I'm moving much too slow. Because I really want to talk about this new artificial muscle. You know every time I give a talk. I have to say you know especially with this type of audience you say will. And I going to give the standard can talk that I give for popular audiences and but then I get so tired of talking about these broad talk easier not going into depth much depth in every area on the site to get to tell you the most recent type of actuator that we invented that is not described anywhere in the literature and which we will be submitting soon for publication. So I better move along so that I actually get to the point where I can describe that prefers to all who again are our most successful type of. Fuel powered artificial muscle is trivial. We take might know what you can buy commercially it could be available either a straight wire or as a spring if it's involved in a shape of a spring you get an amplification effect. So you can get we can get over two hundred percent stroke using these artificial. Hostels that are fuel powered and the straight wire will give you about five percent of the stroke which again is a very large stroke but we can amplify that considerably. If the dimensional change is in a surprising direction Normally you think that if you heat something. It's going to expand. Well what this heating of the memory material that the shape memory our lawyer which is composed. Made of nickel in titanium when you heated you actually get a contraction because of a phase change or change between two phases. We can generate. As I said before about five hundred times the force per unit area of natural muscles. I'll be showing later on movies associate with all these muscles and some if you're interested some of the processes we make to make it used to make our carbon nanotubes sheets. This artificial your power artificial muscle has been very popular from the viewpoint of T.V. programs. It's been on A.B.C. channels FOX stations in two T.V. stations in Korea and in Europe and this. December twenty second. It will be on Modern Marvels on the History Channel. The newest type of artificial muscle that I'll be describing. Is is is really remarkable. It can provide giant strokes of over three X.. It can operate at a temperature from about one thousand nine hundred degrees Kelvin down to absolute zero. It can provide strain rain. It's of about ten to the over tender the fourth percent percent can. And it's based on a new rule mechanical part of something that material that can be lighter than air less dense than air to be more specific. We made our own we make our carbon nanotube yarns by growing nanotube forests which we pool can pour into a form of a yarn when we twist this yarn we can obtain rather high mechanical properties. It was not our invention that it's possible to pull yarns from the side of a nano to poorest people in China have discovered that we just add a little twist and that is the twist that's conventionally used to make all products or cotton products we downscale science to the nano scale. So we can increase mechanical properties by a factor of a thousand by just adding twist in this in the process. But instead of pulling off a very narrow region of a carbon nanotube forest we can pull off a very broad region so that we can make sheets of carbon nanotubes which are transparent. These sheets. Have a gravity metric mechanical strength which is higher than that of the highest strength steel plate. Higher than that of the cal kept on in the mylar the fuse for light air vehicles. The. These sheets. Al show you a picture of a movie of someone pulling the sheets and you can just watch them drift up in the air the density. The Sheets is ONLY about it can be as low as one milligram per centimeter cubed which is about the the density of air and by using our actually shin process which causes the she took increase in volume in order of magnitude. We can make and their original material which is strong enough to be self-supporting which is ten times lower density than air. Again this is. National Geographic's wanted this June beetle to tear apart our carbon nanotube sheet. Each leg of the June beetle is providing. About a million times higher road than the weight of the underground underlying nanotubes we can fabricate these carbon nanotubes. Sheets very fast. Using this very complicated apparatus that we engineered at great expense. And we use these carbon nanotubes sheets to talk the general talk I give you no Cox but how we use these nanotubes sheets for solar cells for organic light emitting displays for imaging magnetic resonance imaging for all sorts of applications. You know we wrote about a four hundred twenty page patent application scribe's all these these types of applications. But I'll be focusing here on using these carbon nanotube sheets for our newest type of artificial muscle. Now again these sheets have very high gravity metric strength. But the surprisingly in the orthogonal to the nanotube orientation direction. There are rubber. Carbons that's a rubber. It's but a special type of rubber it's a and in the week forever ordinary robbers. When there's a stretched. Resistance stretching because stretching causes entropy to decrease. And but in the case of R. and OPIC rubbers stretching has no impact on our little negligible effect on entropy but it effects and causes and property decrease. But still these carbon nanotubes sheets. We can can be stretched over. About four to four X. without breaking. Also this fact that these materials are an adult pick the last time or allows them to us to operate these materials at extreme really high temperatures. The thing about the. Area of these carbon nanotubes sheets the weight per area of these narratives sheets are six trimly small about four ounces. Of these sheets would cover about an acre. Here we show our banana to she before and after actuation and. In this particular case we're actually by applying a very high wage with respect to a ground as and at infinity. So we're injecting charge into the car banana to she this is causing this increase in dimensional change in the increase and with now here we show sheet act. Fifteen hundred degrees Kelvin the color is actually. Incandescent white the camera did not correctly. Capture the color now. For organic light emitting displays. Or for solar cells carbon nanotubes sheets that are transparent are great interest and we've been making a lot of. Devices that have a pariah being attracted performance and the reason these transparent sheets. Are very exciting is that instead as opposed to word unary. Electrodes these carbon nanotubes sheets. Have a three dimensionality So it means that whole injection layers in electron injection layers. Can interpenetrate with an attitude sheets so you have a very large degree area for electron injection and. Hole injection. I also use the work function because the sheets are transparent you can use them in tandem solar cells. But one of the things it's of great interest is to be able to tune the aerial density of the Manitou sheets and we can do this first simply we actually the sheets. Here we show a man a two sheet that was put on a silicon substrate without being actuated And here's one that we actually did and then put it on the silicon substrate by putting in a silicon substrate which we fix the actuation so it doesn't return to the original state. Now because of the very high. Magnitude of actuation we see larger facts of aspect ratio in others leg. The with ratio on the degree of a percentage change in with the idea is that the problem is that at the end rigid N. constraints year with is constrained and but it wants to bloom. Everywhere increase with everywhere but it's constrained here so you see this blooming. Now. So as we increase our length to wish with a ratio the degree of actuation increases and also because of this ballooning effect we see that the voltage dependence of actuation goes from obese approximate to be squared region over to a B. to the two third region. Now what happens if we start stacking these carbon nanotubes sheets upon each other. The we see experimentally that the degree of actuation decreases as we take one she stack it. Another one and keep on satin progressively larger numbers of sheets together and I'll explain why this is true but we discovered by theoretical analysis we predicted that the that there should be a normalization factor which allows us to scale all of this data using one fifth parameter R. and as you see here this works very well. Now the reason. Comes from linear elasticities theory and. The functional form of stresses that are generated in the carbon nanotube sheets as a concept consequence of charge injection. In the center of a she say you'd say well what's really happening is each neighboring charges in the carbon nanotubes sheet are charged. So the repressing each other. That's not really true because the harder they're two sheets are metallic So the electrons just redistribute there's no force. Between their troops in the sheet. The moved the trenches move around but at the edges of the sheet or it surfaces. There is not the possibility of move for those charges to move somewhere else. There's a boundary effect. So what happens is that the charge injection is a quiver Lindt. To providing a negative stress in the so that the worst reaction strain is. The product of the Electra statically generated stress times the compliance in the last in compliance and with direction. Now if you didn't have cross compliances. If you look at the functional form who are the stress in the with direction. You see that it is the thickness which is eight in this this equation is H. gets larger the stress in that direction goes to zero. So you would just expect that this factor of S. is just you know aged that your scaling factor should go. As for. That the scaring factor should just go as at end of the minus one so that there would be no actuation if you in the with direction. If you had a large number of stacks together but it doesn't it doesn't vanish with you step more and more sheets upon each other because they're cross compliances it turns out if you see up here that the stress in the thickness direction. Does not inversely depend upon the sheet thickness. So it does not grant a shape you keep on stacking more and more sheets. So the cross compliance between this stress and the dimensional changes in the with direction is what results in the universal. Equation. S. a man whose experimentally derived no prior artificial muscle can operate and above for any practical purposes at above five hundred three Santa very. Very few artificial muscles can operate to lower temperatures because of the nature of these artificial muscles they can operate. Probably it to attack any temperatures up to where the carbon nanotubes actually degrade. Which is probably from only one man a tubes which is in excess of two thousand degrees centigrade. The. Here we show that if we go from. Room temperature to about thirty thirteen that's sixty five degrees Kelvin In other words we increase temperature a thousand degrees. We enter the actuation changes very little. We can take these actually to. And cycling from extremely high temperatures to very low temperatures repeatedly without noticeably changing the degree of actuation. If we look in the with direction for these carbon nanotubes sheets. They also provide very large actuator strains of about. Two hundred percent. If we look at the length direction. There's a surprise if you inject. Electrons in a mature O. you expect these electrons in all directions to repulsing each other so you would expect it. So would seem logical that the with direction you would see expansion is logical going in and they think destruction you should see expansion. But in the length direction you're in Taishan direction. You see a contraction this contractions about two percent much larger than the. Type of dimensional change that you see for high marginal spare electrics which is about a tenth of a percent as I said before. And moreover we looked at the ability to look at the actuation and in the. Orientation interaction that was back to how much work we can do and how much force we can generate per unit area and we can generate about. Thirteen. Eighteen times the sustainable force generation capability of human muscles using these artificial muscles which we can use it's extreme temperatures. Down to absolute zero. They're grabbing a metric work capacity of in the orientation direction of these new type of muscles. Is are comparable to that of humans Cara skeletal muscle. Now very important character of. The touristic of artificial muscles is actuation rate how fast can they. The former. I really believe whose principal contributor to the work that I'm describing found a very simple way to to measure. The rate actuation rate and that was to he has a mechanical switch that connects a high voltage power supply to a carbon nanotube sheet. And he has a laser here that when the sheet actuates he can find out when he gets to a particular level of actuation. So what happens when he mechanically closes the switch electromagnetic saying no is automatically generated. And which he detects using a little a wire antenna that he puts on a a service scope that starts the sylphs to a scope trigger and then from the time in which the laser he can see by photodiode up here that the laser beam is intersected the she he knows how how past that she has been able to actually you can actually we found that actuation was about three point seven times ten to four percent. Perception stone remarkably fast actuation. Now. Very surprising. The mechanical loss the cue for the human factor which describes the ability of the material to form without losing energy to loss is very high for these carbon nanotubes sheets about four hundred fifty that's very high compared to polymers. It's slow compared to something like quartz of course. This shows the resonance. From Asian. As a consequence of as a for as a function of frequency. Now you say well and actuator that operates at. Three thousand. Well that's a real problem because I mean new for some app. Applications some of it if you want to use the actuation just to modify materials for use in organic light emitting displays or in solar cells or I'll talk about later on for stripping Chargers from Ion beings. It's fine you apply high voltages. But for many applications you don't want to but using a double resonance effect we can obtain. About plus or minus thirty percent actuation applying only ten volts are a mass. And there's two tricks here. The first trick since the carbon nanotube sheet is largely capacitive load. And is to put inductor in series with the carbon nanotube she now this represents a counter electrode infinity grounded in venerating And so you generate about one hundred fifty volts at this point because you use because of the Q vacuum factor for the else a circuit at the frequency of about a thousand hertz and then we use a mechanical residence. If you factor for it. That's very large to get this actuation of about plus or minus thirty percent. And we're doing this actually here if you show the an actually the sheet and here vibrating at about a killer question can't follow that if I can learn. Now what are the some of the reasons that applications one could use this actuation for well we found in class. Bit of work that these carbon nanotubes sheets because of the chemical inertness of carbon in form of carbon nanotubes because of how then the sheets can be big. Day after densification the sheets are only about fifty nanometers thick. Or about one thousand the diameter of a human hair. I know I'm not qualified to talk about human hair. The again this is only that on board Zaki Adolf. And his team. Claire to keep close collaborators and most of their in a made you're looking through two carbon nanotube sheet. For the sole lead now the ability of the. Carbon nanotube sheet to inject electrons or holes is increased by the fact if you have very high surface area between carbon nanotubes she in the next layer in the lives of C.. We can remarkably We who is very sweet licensed our technology for carbon nanotube sheets to several organizations one is to use our sheets for made many residents and tennis turns out proof for reasons that is for physics that's not completely clear right now. That. The antennas and four main manic resonance imaging made from our carbon nanotubes sheets have very high signal noise noise ratio. The signal noise ratio of these antenna goes as the square root of inductance divided by resistance. And the inductance is. Mazing Lehi for the sheets. And so this is a picture of a mouse's brain which has been imaged using our nano tubes she and ten is. Now which were made using that complicated fabrication device that I showed you with the plastic bottles the mandrel we can use our carbon nanotubes sheets as incandescent light emitting source's you say all people carbons been used for incandescent light lamps for since the time of Edison. Well this is an unusual type of lamp because of the extremely small mass per area of the sheets these lamps could be shut turned on and off very very fast. They and moreover they instead of admitting I'm polarized light they're. Light that's very highly polarized. And again we can use the session for electron emitters in X. rays and we do our colleagues in Australia have done it for a general X. ray sources and we've used it for the mission lamps. But the ability to morph the shape of sheets. It means you can move all of the shape of electron emission sources for various types of applications. We can freeze them or. Shape for some applications. Carbon nanotubes sheets our New York perfect thermal letters makes it very difficult to merely measure reliably the thermal positivity of carbon nanotube sheets because most of the radiation is just being emitted in terms of black body radiation that since we can move the area of the sheets. We can. Electrically to how much. I'm calling we have of a. For example. A hot circuit. Now I want to show you I'm really running out of time but I know these carbon nanotubes sheets by direct measurements we see that in the with direction they have a person ratio of about ten and in thickness direction they have a sign ratio of about. Fifteen now ordinary robbers you stretch them they have a person ratio of about one half an hour. What is a person ratio of a half means that means you stretch one percent. Latterly you contract half a percent for these sheets you stretch them one percent. They laugh in one direction they contract about nine point five percent in the other direction they contract about fifteen percent very strange easily understandable for reasons I'll tell you a few seconds. The consequence of having these giant dishonor A shares. Is that if you strip most materials you structure they become less dense right. Well if you stretch these materials you do it once per cent you in decrease thickness by fifteen percent. And with by about nine point one five percent. So overall the density increases by about twenty four percent. You say well OK or stretch densify What's so special about that. What turns out to having the property of being stretched densified In other words if you stretch it becomes more dense is equivalent to the property of having a negative linear compressibility. Which means that if you apply pressure to the material that doesn't penetrate the material. I do static pressure you actually expand your expand and she traction. And I don't have time to elaborate on this but if you think about a little bit remember I said that. Why why when you apply. Injure charge in the sheets Why do they contract in one direction. What turns out this contraction is just a reflection of the fact that in the orientation direction. These materials have a negative assigned have a. Negative linear compressibility now. And the reason the persona A shares are so giant is. Can be understood by thinking of a very highly along gaited honeycomb. If you just if you just think of stretching here. If you stretch here you can see that very small amount of a long geisha in this direction will cause are very large fractional with change. OK I just want to show you some I like to thank you for listening to you talk and I'll show you a quick some quick movies. Regarding to these artificial muscles. These we can pull the feeds at now about two meters per person per second relevant to the economics of commercially producing this is maize and. Now look at what it does is she releases it just like smoke just rises. The sheets are made by a product by by pulling from a nana to poorest if you think of a bamboo forest. Just think of each bamboo tree in the bamboo forces be replaced by a carbon nanotube and. The Because of the inner Can it because I should have quite so loud but this is a side of a carbon nanotube forest in which we're pulling a sheet from in an electron scanning electron microscope and it will get more interesting in a second. So we're going for a highly ordered state to a disordered state to a highly ordered state as during the spinning process. I'm glad I'm sure you are happy that I turned off that music. Unless I started dancing. I'll show you just. This shows us when we actuate the sheets. We also the sheets actually diffract optically because of the arrangement of the nanofibers within the cheese on a scale the optical You know that's relevant for optical wavelengths. So one this movie which any which Ali is just switching manually the plying. Either shorting a put the a charge to ground or plot injecting charge. You'll see changes simultaneously. You'll see changes in. With and changes in diffraction. Look over here for the fraction and over here for the with. Last movie. The fuel powered artificial muscles. This is just a little foot film clip that was for eight years that A.B.C. I was made by. An organizer for A.B.C.. This is methanol and the robotic arm and. Well you know that's a five hundred gram way or. Most every four hours supermodels soldiers. Use the word you are. Not. Thank you very much. The and. No. That's been a problem for graphite fibers in friend. Yeah. It's been an issue for graphite fibers. This is not this is for graphite fibers it's well known problem. And that's a good comment. On. Three meters. Most of the rule we use our carbon nanotube sheets or use them in the laboratory not their style not commercially applied but we use them for things like our composites. Now even in composites you can say well. It's hard to concede to tell you the truth. I mean here if these particular sheets. They're not going to conduct much current before they blow out. So I don't really think that that's a problem. Because right away. I mean how much current Can you carry by something that way that way. Yes one about one microgram. Per cent or meter. Square. So my answer should have been directly. Don't worry. If this is not a capability you'd have to stack up a lot of sheets. If you stand there and with you know and a lot of thousands of sheets. Then maybe it could be a problem but it is a problem for graphite early stuff. It was fifteen years ago when I saw him mentioned to me about this problem. So. Average. If it doesn't come out to be positive. When you average all directions you're cheating Mother Nature and she's gets she gets awfully angry over her knowledge of violating Thurman and hammocks but there's a way that I figured out to look like you're fooling Mother Nature but in reality if you take a material that has that and negative linear compressibility. And. In one direction and make a three dimensional network out of it. You can you can have a situation where applying hydrostatic pressure to it causes the if they abide liquid penetrates the E.U. contract in all directions. So it looks like your volume. That's falling decreasing I better leave that stored for some other time but if there's a way in one of our paper we wrote for either Science or Nature I forgot which we describe how to make an material that if it's Hydra statically compressed that it will increase volume but the trick. There is that as a function of apply pressure you're actually not conserving the amount of pressure fluid. It's inside the material. We haven't looked at the change in degree of orientation as a consequence of incorporating them into. Composites we have looked in this is work done in collaboration with Jack Fisher of Penn State University of Pennsylvania. We've looked at the fraction both alone by using an X. ray beam that's. In plain and one that's of thought are going to go to the sheet and interesting really the we see the same degree of orientation. For respect the nanotubes of the Specter thickness direction as we do for struck the with direction and that degree of orientation is high. I don't remember exactly the number and that number that we have is basically the half with the diffraction line at the four with of the diffraction line at half the maximum but it was very high. And if you densify the sheet. If you expose the if you Emerton much the sheets into a liquid and then allow the liquid to evaporate the surface tension in fact causes the density of the sheet to increase by a factor of four hundred about. But orientation factor does not change interesting. Thank you thank you Bill.