§1. Diffusion bonding fundamentals and dissimilar materials [00:05]
We were talking about diffusion bonding, and I mentioned that it's actually one of the only ways we can really make essentially a near perfect joint. If you do a good diffusion bond, it is virtually impossible to do metallography and see where the interface is, or do any type of mechanical testing and tell the difference between the joint and the base material. So it's essentially a nearly perfect weld.
It's also used in many cases for joining of dissimilar materials, as long as there are no brittle intermetallics that form. One of my examples is tantalum to vanadium. Tantalum and vanadium are very close to each other on the periodic table but they form a brittle intermetallic, and you can diffusion bond them just fine — they dissolve away their oxide at higher temperatures — but then you form a brittle intermetallic, and you tap that joint and it shatters.
It turns out if you put a sheet of niobium in between, which is also close to these — in fact tantalum and niobium are called the twins because they're found in the same ores. Don Satterthwaite's [Satterthwaite's] doctoral thesis was separation of tantalum from niobium. Tantalum is named after Tantalus, the Greek god from which "tantalizing" and other words come, and niobium was named because it was a twin of tantalum. Very difficult to separate.
But it turns out niobium does not form an intermetallic with vanadium, but tantalum does. So if you put a sheet of niobium in between and now do a diffusion bond, everything's fine. You get a good bond. That's really useful — how many people are trying to make tantalum to vanadium joints? I know of no commercial application for that. But it does illustrate the brittle intermetallic problem, and I've got another example of that in a little bit.
§2. Process parameters: temperature, time, and pressure [02:25]
Another thing I want to talk about is the problem when you're bonding dissimilar materials — the problem of thermal expansion mismatch. That's inherent in lots of things other than just diffusion bonding. Lots of your electronic packaging has dissimilar materials. But before I get there I want to talk about some of the problems of diffusion bonding. Your fixturing pressures are typically about 5000 psi — you're trying to break down these asperity contacts with pressure. You're going to do it at elevated temperatures so things are softer, but you really have to operate somewhere between six-tenths and eight-tenths of the absolute melting point.
[Tom writes on the board.] Greater than six-tenths of the melting point in Kelvin, and less than about eight-tenths of the melting point in Kelvin. So why do you usually do it above six-tenths of the absolute melting point?
Student: [inaudible — diffusion rate]
Exactly. Much less than six-tenths of the absolute melting point, diffusion takes weeks if not years, and so it's too slow a process. A typical pure diffusion bond will take somewhere between 10 and 20 hours in a furnace, and these furnaces — which are often vacuum furnaces or inert gas furnaces — cost something like a thousand dollars an hour to operate. These are not exactly automotive parts. I can't think of any diffusion bonded automotive part. There might be some titanium fuel injectors in some high-end racing car or something, but in general you can't afford it, because it's a batch operation and you're paying $20,000 for one batch of parts in a furnace.
I think I did know of some fuel injectors — Chrysler had a sports car and the fuel injectors were made in Italy. The real problem happened to be an O-ring, but I think they may have had some diffusion bonding in them. They were actually flying them over from Italy to Detroit in the Learjet because they were having so many of them fail. When they were sticking them in, the O-rings would get cut and then you had a leak in your fuel injector, and that wasn't good. It was holding up production of the automobiles. But that wasn't really a diffusion bonding problem.
Below six-tenths of the absolute melting temperature, diffusion is just plain too slow. You don't want to be in that furnace for two days or three weeks. Above eight-tenths of the absolute melting point — anybody have any idea why you can't go too high? Obviously you get lower forces if you went higher. It actually gets back to this diagram. This is stage one, this is stage two, this is stage three. At stage three everything is over. You have to stay far enough below — or close enough to — the recrystallization temperature of the metal, so that you don't start getting lots of grain growth. You want to have diffusion but you don't want these grain boundaries to move too fast, because if they do and the grains get too big you get to stage three too early and you're full of porosity at the interface.
So for a really good joint you're going to have to do it somewhere in this range. For something like titanium, you're probably in the 1200 degree Fahrenheit range. You can calculate it yourself. But the point I really want to make is, diffusion bonding has 5000 psi fixturing pressures, which may mean you have to have a big press, or you use other things for fixturing. A lot of times diffusion bonding is used in the aerospace industry as opposed to the automotive industry. Why? I told you the relative cost of things. The value of a pound saved in an automobile is two dollars over the life of the vehicle; in the aircraft it's two hundred dollars; in a spacecraft it's twenty thousand dollars per pound.
Of course you can afford diffusion bonding in aircraft engines, where it's probably more like two thousand dollars a pound. The reason the engine is more than the frame of the aircraft is because those engines sit out on those wings, and every pound you take off the engine means you can take extra weight off the wings. If you can take the weight out of the engine, you can take it out of the wings too.
§3. Precision fixturing: Pratt & Whitney blades and the Ford air conditioner [07:26]
Remember I talked about linear friction welding and the blisk, where they were trying to attach the turbine blades directly to the disc, to get rid of this big heavy mechanical structure, which has extremely tight machining tolerances. Some of the tightest tolerances in commercial manufacturing in general are how these little curved Christmas-tree inserts, they call them, fit together.
Student: [inaudible question]
You actually have to slide them in very carefully, but the tolerances are on the order of one ten-thousandth to ten ten-thousandths on that ground surface. They fit and they are ground. If you go through Pratt & Whitney's manufacturing facility — well, this is 20 years ago — they actually had a bunch of little cells that would do different turbine blades. They had gone from a plant half the size of a football field, where they used to have all the milling machines over here and the laser drillers over there — and we haven't talked about laser drilling yet — different machines in different parts. Then they put them into cells, so instead of a part having to go like two miles from the incoming casting to the outgoing part, they got it down to 100 feet or 100 yards. They simplified their production, streamlined it.
Except they only had one grinder. It's like a ten-million-dollar grinder for grinding these things. At ten million dollars, you can only buy so many. Plus it was a machine that was the size of this room, and it wasn't just clamping the parts — they actually cast them in Wood's metal. They held them in Wood's metal, which is a 50% bismuth alloy that actually expands when it freezes, so there's no looseness whatsoever. When you're trying to hold one ten-thousandth — one ten-thousandth is about two microns, two and a half microns — you've got to have very good clamping.
I've got another story on that. In 1990 I bought a Ford Taurus. I bought it in February. In May I turned on the air conditioner — no air conditioning. So I took it back to the Ford dealership and they said, we don't have the part. And I said, well, then give me a new car, it's under warranty. And they said, well, we can't do that. I said, well then you better figure out what to do, because you've got a problem. I'm not going to go through the summer while you tell me I don't have an air conditioner. I'll take a new car. You want me to go lemon-law? I'll bring it in three times in a week, and if you don't have it fixed by the end of that week I can go lemon-law and you'll give me a new car. So they decided that maybe they could do something. Plus I told them I knew a few vice presidents at Ford, which I did actually.
I didn't learn the story from them — I actually learned it from Kim Clark, who later was the dean of the Harvard Business School. When they designed this compressor, they had a single shuttle for the compressor, and it was a very simple new design, but it had extremely tight tolerances for the piston inside, and it had to be machined just so. The guys in development at Ford had figured out the fixturing — just like you have to be careful how you fixture the turbine blades to get these tolerances, you can't just put them in a vise and clamp them. The vises wear out and the tolerances change. So they came up with very special fixturing. They sent it off to the machine shop, the part came back, they tested the prototype, everything worked fine. They decided to spend $100 million to put in the production line based on their fixturing.
It starts coming off the production line and none of them work. And who buys one of these but Tom Eagar, right? They go back to try to figure out why they aren't working. They went and talked to the machinist, and they said, well, did you fixture it the way we told you? He said, oh no, I knew that wouldn't work, I figured out my own fixturing. And you never bothered to tell anybody. So they designed all the fixturing in this hundred-million-dollar plant — not that it was $100 million worth of fixturing, but the production line based on it — on what the engineer thought was proper fixturing, when in fact this guy had been a machinist for 30 years and knew a lot more about how to fixture something. So they had to redo the plant. In the meantime summer was coming. I finally did get a new air conditioner within about three weeks, so it wasn't too bad for me.
But fixturing for very precise machining is not a trivial problem. Ford learned the hard way, and Pratt & Whitney certainly in making these blades, I'm sure they learned the hard way over time too. But there are different ways to do it. In any case, I'm supposed to be talking about diffusion bonding.
§4. Why blisk: weight cascade in aircraft engines [12:48]
So — high pressures, 5000 psi, long times, expensive furnaces, and you're really talking aerospace-type components rather than automotive, because of the value added.
The blisk technology, the linear friction welding — the reason you want to get rid of that big heavy rim on the end of the disc — aside from the fact it's out toward the edge and lots of mechanical energy is needed to spin that thing around, and high stresses out near the edge as it's spinning at 20,000 rpm — you'd like to get rid of that weight. It was considered that every pound you could take off the disc would take 20 pounds out of the engine and would take 200 pounds off the aircraft.
If you're talking about a commercial aircraft, you say, well, 200 times 200 is only 40,000. But if you're talking military aircraft, you're really talking about a thousand dollars a pound. So you're talking $200,000 per aircraft, and if they have multiple engines, you're talking half a million dollars. Nowadays the F-22 and the F-35 are costing $200 million apiece, so you may say that's not that much, but it's still worth something. The numbers add up pretty quick when you start getting into some of these aerospace components.
§5. Transient liquid phase bonding: the Pratt & Whitney patent and ancient precedents [14:31]
We like diffusion bonding, but it's slow. There is a technique that was patented by Pratt & Whitney in 1972, called transient liquid phase diffusion bonding. Instead of just having a dry interface between two pieces of titanium, or a piece of titanium and a piece of steel or stainless steel — whatever you're going to diffusion bond — you have this oxide interface.
[Tom locates a Welding Institute publication.] So you've got the oxide layer — this is actually out of the chapters of this Welding Institute publication on diffusion bonding. You've got the oxide interface, you squeeze it together, you break down some of the asperity points, you still have some vacancies, you diffuse away, you see the oxide layer getting thinner, and eventually you end up with your diffusion bond.
In TLP, we're going to introduce a liquid in between, so you don't have to have all this heavy pressure to break down the asperity peaks. If you interpose a liquid, you may have a thicker joint, but if you're smart about what liquid you interpose, you can introduce a brazing alloy in between. On nickel-based superalloys, you can use nickel-boron interlayers, which is exactly what Pratt & Whitney did. They actually patented the process. The paper is from 1974 — you should have it in your handouts — it's in the Welding Journal, April '74. It was presented at a conference in 1973. The patent is 1972. You can't publish something and then patent it; you have to apply for the patent and then publish it.
Scott Duvall, Bill Owczarski, and Dia Polonis — Duvall was a metallurgist, Owczarski was a welding engineer out of RPI. "TLP Bonding: A New Method for Joining Heat-Resistant Alloys." They're talking about nickel-based alloys, and in particular nickel-boron. There are a lot of brazing alloys based on various nickel compounds or nickel alloys. Nickel-boron really lowers the melting point from 1455°C to 1035°C or something like that. You form a eutectic with boron. You also form a eutectic with carbon, with phosphorus. There's a whole company in Detroit called Wall Colmonoy which sells nickel-based brazing alloys.
What they found is that if you make a braze using a nickel-boron-based braze — boron is nice because it's an interstitial diffuser, it diffuses quickly, it may have three times the diffusion constant of a substitutional atom diffuser. So they like nickel-boron. You can start out with the joint, you can still see the interface, but once you finish making this there's the joint and you don't see, even at high magnification, anything. If you did a chemistry scan across there, you can sort of see different grain sizes maybe. You would find a higher concentration of boron here than there, because it's diffusing away.
In this paper they describe the process known today as isothermal solidification. There's thermal solidification, which is what you're familiar with — you heat something up, you pour it in a mold, the temperature cools down and it solidifies. If you're doing an alloy, that's known as coming down the phase diagram. You drop the temperature and it solidifies, you go from liquid down to solid. Isothermal solidification: you start out in the liquid and you go across the phase diagram at one temperature. So you're just going in a different direction to get to the solid phase.
You start out with a liquid in between two solids. This would be a nickel-boron layer potentially between two nickel superalloys. It has a high concentration of boron — this is just schematic — you heat it up, you'll melt some of the parent metal and so this joint actually gets thicker, which is sort of going the wrong way. But as it gets thicker, you let it diffuse, and eventually it starts becoming thinner, and you'll have a little peak, and if you wait long enough you'll end up with a joint where the boron's diffused completely away, and you have a near perfect joint.
They started using this. It's used widely in the superalloy business because nickel-boron is such a wonderful system. Twenty years ago I used to say it's a wonderful process, the problem is it only works in a few limited systems. Then I started doing a little more work and I realized it's a lot more common than we thought.
For example, the Etruscans — I think I told you this before — this is a gold earring made by the Etruscans around 600 BC. They used this technique to put these little gold beads on what is a copper or brass substrate. You can kind of see the color of the gold beads. Here's a bad joint — see the defect — obviously they threw this earring out. People have actually sectioned some of this Etruscan jewelry and shown that they used tin with copper and gold to make a transient liquid phase diffusion bond. So in fact you could argue that the Pratt & Whitney patent could have been invalidated, but the Etruscans didn't file an infringement.
§6. Pratt & Whitney v. Chromalloy and the King Tut dagger [21:36]
About 10 or 15 years ago, Pratt & Whitney decided they wanted to destroy Chromalloy Corporation, which was the largest remanufacturer of jet engine parts. This was because peace had broken out — it was probably 15 years ago now — peace had broken out because of the fall of the former Soviet Union, and so they weren't selling as many engines anymore. They wanted to do something to boost their business, and there was this five- or ten-billion-dollar repair industry out there to remanufacture jet engine parts. Chromalloy was the largest remanufacturer of jet engine parts in the world, essentially remanufacturing Pratt & Whitney parts, General Electric parts, and Rolls-Royce parts.
I remember going down to the Pratt & Whitney plant in the mid-90s in North Haven, Connecticut, and the general manager of the plant took us to dinner the night before. He said, we've been giving away this five-billion-dollar industry to all these other people and we're not going to let that happen in the future. So they turned around and sued Chromalloy for a bunch of patents, and one of them was this paper and the patent on TLP bonding — except I found a 1956 paper in the Welding Journal, just a little paragraph, showing that Rohr Corporation had described the exact same thing. Every element of that patent disclosure was in that paragraph in the Welding Journal in 1956. So that patent got thrown out, but they still had a lawsuit about all this other stuff. In the end Chromalloy won. The judge awarded them no damages, and it cost them $30 million in legal fees. So you can say did they win or did they lose, but anyway, they're still in business.
In any case, now you can see the gold color a little bit more. People have sectioned these and essentially they had tin diffusing into copper and gold. Copper and gold will readily diffuse tin. The Etruscans essentially did it — you can go in there and you can take a microprobe and you can find the tin gradient across there.
Student: [inaudible — would this be called soldering?]
This would be soldering. You could call this diffusion soldering, because tin is within the soldering melting point range. We're going to get to soldering — I'm going to talk about what's the difference between soldering and brazing maybe today, but if not today then tomorrow.
Here is King Tut's dagger, which was 2500 BC. It's got these little beads on it. This gold sheath is what everybody thinks is so wonderful, but they also had little gold beads attached to brass or gold, and they think that the Egyptians used TLP to join the beads. But no one's willing to cut up the sword to find out. You've got to cut it up. No interest in science.
§7. Varian crossed-field amplifier: the gold-nickel-molybdenum case [24:56]
There are other stories. Varian, a company up here in Beverly, called me in once as a consultant. The dynamics of this are interesting. They say, can you come up, we've got a brazing problem. I go up, this meeting starts about one o'clock in the afternoon, I go in this room, there are about 10 engineers and managers — this is not all that uncommon — and they start telling me about their problem. It's the crossed-field amplifier for the phased array radar system. In this particular case it was the Aegis missile system, but essentially it's the same type of radar system that allows jets to fly very low over the mountains — they have a phased array that tells them, oh, there's a mountain coming up, you better have something automatically to go over it rather than try to go through it.
So it's basically a transistor for microwaves. At microwave frequencies regular old silicon doesn't work, but you can have fingers. They basically take a piece of solid copper and machine a bunch of radial fingers — these are actually slots, they've done electrical discharge machining to make this — the whole thing is probably that big around.
[Tom draws on the board.] And they have a piece of molybdenum right here, which they originally braze in, and then they cut the slots. The problem was they were getting intermetallics between — actually I'm sorry, it wasn't copper and molybdenum, it was gold and moly. They were using a gold-nickel brazing alloy. Here's the gold-nickel phase diagram. Diffusion bonding is sort of fun for a metallurgist just because you actually get to look at phase diagrams to understand what's going on.
Here's the gold-nickel phase diagram. You've got nickel at 1455, you've got gold at 1064 — gold is one of the standards for the international temperature, so it's a defined temperature, 1064.43. You have a eutectic at 955°C at 18% nickel, 82% gold. That's a brazing alloy, and that's what they were using to braze this crossed-field amplifier.
The problem was that you would form a molybdenum-nickel intermetallic. You've got 18% nickel, and there's a Ni₃Mo — I didn't bring that phase diagram — but there's a very high temperature, very stable Ni₃Mo. And every now and then one of these little tips would break off, just like that little bead broke off the nice Etruscan earring.
This screws up the whole electric field. What you're doing is modulating the electric field on this thing, and you're putting a pulse of high-power electron beam right down through the center, and the modulating field modulates the high-power pulsed electron beam and gives you a big magnification in microwave energy. This is what you're using for your pulsed microwaves to do your phased array radar system. This is all 20 years ago, so maybe they've done some other things. They said, if we lose one of these tips — and there must have been 50 of them going around this thing — you lose one because of this brittle intermetallic, now your electron beam gets distorted, it comes over, it destroys the whole thing.
First I thought, well, why are you using molybdenum on the tip? Molybdenum melts at a very high temperature — when the electron beam goes through there it's very high heat intensity, and if you put copper on there you actually would melt the copper. But you have copper behind it because copper has good thermal conductivity. It turns out molybdenum has a thermal diffusivity which is 60% that of pure copper. So molybdenum would take the high heat flux for a fraction of a second while you have the pulse, and then the copper would suck the heat out over the dead time in between. So they had a system that worked, but there was a reliability problem.
They're explaining all this to me, it takes about 40 minutes to go through everything. I started looking at it and said, you know what you'd really like to have is a TLP joint. They said, well what's that? So I explained what a TLP joint is. If you could come up with a system with copper and molybdenum that wouldn't give you the brittle intermetallic but would give you a diffusion bond, you wouldn't have to have the high pressures for fixturing, you could do it faster — in a TLP joint you only need 5 psi, not 5000, for fixturing.
So you save a lot on your big pressure. In an aerospace plant — you go down to Pratt & Whitney where they're doing diffusion bonding, not TLP bonding — they'll have a big ring of molybdenum, and that's how they fixture it in the furnace. These are all circular parts and they put this big donut of molybdenum around the part, and it doesn't expand as much because it's molybdenum. So you can slip it on at room temperature, and you get up to temperature, and all of a sudden this big ring of molybdenum is holding everything together in the vacuum furnace.
Beyond that, if you've got flat parts, you've got to have a huge press. The world's largest diffusion bonding press is in Japan. It's in one of the homework problems — I don't remember from 25 years ago, but the data is in the thing. It's a plate that's probably as long as this room. It'll diffusion bond two plates together probably as long as this room and eight feet wide. It's got — I don't remember — 10,000 tons in the press. A pretty good-sized press, and a big vacuum furnace. Instead of explosive bonding to make a clad metal, the Japanese were doing diffusion bonding.
So fixturing's easier, I told them. And you actually can make the joints in an hour rather than 10 hours, typically. They said, that sounds pretty good. You think you could do something to find out about that? I said yeah, we could look into it. They finally told me — this is at the end of almost two hours — they'd like me to take some of these back to the lab and do some metallography on them and see what we had at the interface. We kind of knew that maybe we were getting this Ni₃Mo intermetallic. And they said, oh, by the way, we've tried something else. Instead of 82% gold and 18% nickel as the braze alloy, we've tried an alloy that's 37% gold, 3% nickel, and 60% copper. This is a standard gold braze alloy. They said, we tried this and we can bend these things 180 degrees without their breaking.
I said, you can? So they gave me one of these too. It turns out lower nickel meant you didn't form the intermetallic. But the Navy didn't want to buy it because they thought it was just a silly cost savings. They said, you're just trying to make it cheaper. We want the 82% gold, we don't want 37% gold, we want 82% gold.
We did the metallography. My graduate student found out that they had stumbled on a transient liquid phase diffusion bond. The gold was diffusing into the copper. Remember this is copper base material. The gold wasn't diffusing into the molybdenum, but it was diffusing into the copper as a one-way diffusion. They were getting a transient liquid phase diffusion bond. I'm sure we probably threw out the samples, but I wish I still had them, because you could bend those 180 degrees and you'd just see all the copper stretching. It was essentially a perfect diffusion bond between two dissimilar materials.
What I did is I wrote a letter to the Navy and explained this was not just a cost savings — this was transient liquid phase diffusion bonding. And by giving it a title, the Navy bought off on it. It wasn't a cost savings, it actually was an improvement because it had a name. I'm not kidding when I tell you these stories — this is real.
§8. Raytheon transformer rescue and the limits of soldering [34:49]
Another story of TLP bonding, which is actually TLP soldering. I get a call from Raytheon. This was in a plant right out here in Waltham. One side of the road is now a BJ's Warehouse; the other side of the road is the building with the World Club Gym and SGH. There used to be a Raytheon facility where they made defense components, and they've since torn down both those buildings. They actually had a crosswalk on the second floor across the road. You'd come in on the east-side building, go upstairs, walk over, and come into the manufacturing facility where the SGH building is now.
I get this call from them. They were making transformers for the U.S. Navy nuclear subs, for the engine room. This was the transformer that controlled the control rods for the nuclear reactor. So a million-dollar transformer, a sort of critical application — you didn't want it to fail. In the transformer you've got all these copper windings, and then outside of that, for electrical shielding, they had a copper sheet that had to be grounded to get rid of any electrical interference from anything else that was around.
They were supposed to solder the ground wire to this copper sheet inside this transformer with 95% lead, 5% tin. Lead-tin 63/37 is the eutectic. The eutectic for lead-tin is 183°C. Lead melts at 300-something °C. That's what they were supposed to make.
This whole transformer, after it was put together, they'd pot it up, and they'd put it into an oven at about 200°C. It had to be there for 24 hours. The whole thing was potted in this plastic compound, and that was part of this heat treatment. But also you kind of like to give a thermal excursion to all your stuff before you certify it for service. That's common in the electronics business.
When they did this, out of one of these little feed-throughs they had some liquid metal come out — that's not supposed to happen. They had four of these in the furnace, so four million dollars' worth of transformers sitting there. They analyzed it and they found that it's the eutectic — 63% tin and 37% lead — that's the eutectic, 183°C, and the oven was at something north of 200°C.
So they were supposed to have something that never should have melted at 200°C in their furnace, but in fact when they analyzed this liquid coming out through their feed-through, it was lead-tin eutectic, which is the most common solder alloy for electronics at the time. This is 20 or 25 years ago. Obviously someone had used the wrong solder when they made this joint, and now it's potted up, there's no way to unpot it. They have four million dollars' worth of scrap. They weren't happy.
They wanted to know if there was anything they could do. It turns out, just to try it out, they had taken one of these solder joints — this wasn't another transformer, just a copper sheet to a copper wire soldered with this — and they stuck it in the furnace at 200°C, and then when they took it out they did a pencil test on it as a function of temperature, just hung weights on it, and they found it didn't fail until 300°C. They said, we don't understand what's going on. I said, well, it's a transient liquid phase diffusion solder joint. The tin diffused into the copper, leaving behind a very rich lead, which is what they had intended to get anyway.
Because I could provide that paper — I go to my notes and pull out Owczarski's paper — I write a one-page letter explaining that what had happened is they had formed a transient liquid phase diffusion solder joint, and they now had a better joint than if they had just soldered it. The Navy bought it and bought the four million dollars' worth of transformers. I think I made $700 on the deal, but anyway.
§9. TLP soldering in electronics and closing notes [40:53]
Here's a book on soldering that goes through and shows base material, a preform layer that may have some interlayer material, and you end up with a joint after it homogenizes. It's not like your traditional diffusion bond where you don't have anything in between. You still have your solder in between, but in fact it can be a higher-melting solder. Here's a picture of an actual joint — copper using a tin interlayer — but it's still got some other junk in the center, maybe they haven't done it long enough. Here, from the same book, are some of the types of interfaces that you can get. You'll still find something at the interface.
I started thinking about this around 1990. When they would build integrated circuits, circuit boards, they would put them in these ovens at 200°F typically, and they would hold them there for 24 hours. I can't remember what they called it — aging or something. It was basically to try to stress all the joints so that the circuit board still worked after it came out of this thermal cycling test. It wasn't really cycling, it was just putting it in a furnace at a couple hundred degrees for 24 hours, and if it still works it's probably good. It's just a stress test on each circuit board.
I started thinking about it and realized that a lot of the joints they were making — they might have been making solder joints with the same old lead-tin solders with copper or gold, but in fact what they're really doing is transient liquid phase diffusion soldering. I had a student from Raytheon in the early '90s, and he came in and we actually worked on transient liquid phase diffusion soldering, to try to join silicon, or in his case gallium arsenide chips to the substrate. Big thermal expansion problems. We'll talk about that stuff tomorrow.
Just to tell you, next week Dr. Belmar is going to go off to Africa to shoot wild game with his brother. So I will be lecturing on Monday, Tuesday, Thursday and Friday, and that should finish me up. Then he will be lecturing the week after that. We probably won't have class on Wednesday unless something really strange happens.