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"The World's Simplest Fusion Reactor: And How to
Make It Work"
Tom Ligon - Analog Science Fiction & Fact New York Vol. 118
Issue 12 Dec 1998
A really distressing trend has been developing for some time among
science fiction fans I've met. A lot of you are growing quite
pessimistic about the prospects for practical fusion power in general,
and fusion powered space travel in particular. The roots of this
disillusionment are not hard to find.
Fusion, for those of you who slept through high-school physics, is
the process of squashing two atomic nuclei together to produce a new
element. Many lightweight nuclei give off copious energy when this
happens. In the Sun, hydrogen nuclei fuse (through a complex cycle
involving carbon, nitrogen, and oxygen) to form helium. The process
occurs deep in the Sun's core, at mind-boggling temperatures that cause
the nuclei to move rapidly, where similarly mind-boggling pressure keeps
the nuclei in close proximity, and sheer bulk prevents rapid heat
escape. The physics community often calls these "thermonuclear
reactions" because of the high temperatures driving them in the Sun, or
triggering them in "hydrogen" bombs,
When I was studying Health Physics in the mid-seventies, the nation
was well into a program to develop "practical, clean thermonuclear
fusion power." This was universally acknowledged to be a considerable
technical challenge, but we were told to expect results in, say,
twenty-five to thirty years. Well, twenty-plus years have come and gone,
along with twelve billion fusion research dollars (over the past 45
years), and those researchers have announced that they have made a great
deal of progress. They say if we will only fork over the money (another
ten to twelve billion) for the next stage of R&D, they think they might
be able to build a net power demonstration reactor in another twenty
years. This should lead to a workable fusion powerplant in about forty
or fifty years, for another $25 billion. Present indications are that
the resulting powerplant would not be able to run competitively with any
current powerplant technology.
The focus of most of the present Department of Energy (DOE) research
is large tokamaks. How large? The next generation of research machine
planned, with the supporting equipment and structure, will be about the
volume and mass of an aircraft carrier. It is expected to use gigantic
toroidal superconducting magnets, storing magnetic energy equivalent to
1/40 of a Hiroshima bomb, which would be released suddenly if the liquid
helium cooling system were ever breached and any one of the magnets
warmed above the critical superconducting temperature. Surrounding the
machine is a blanket of molten lithium one to two meters thick. The core
of the machine is a torus (donut) sixteen meters high and twenty-two
meters across with a cross-section diameter of five meters, filled with
a stupefyingly potent confined plasma, whose structural material will
become radioactive as the machine runs. This beast might actually hit
breakeven occasionally (i.e produce as much power as it consumes), with
a little luck. Presuming working power plants would be even larger and
heavier, the system does not look promising for strapping on the back of
a rocket!
Additional work continues on laser and particle beam-fired fusion.
The reaction vessels proposed for this program are considerably smaller,
however the lasers or beam guns and power systems to run them are even
larger and more massive than those of the tokamaks, making them
prohibitive for space propulsion use.
Both systems struggle to overcome the three competing factors which
have so far made thermonuclear fusion such a formidable challenge. The
goal is to slam fuel nuclei together hard enough to make them stick and
form new elements. Nuclei carry a positive charge, and like charges
repel, and they do so more vigorously the closer they approach. This
Coulomb barrier" is the force which must be overcome to cause fusion. To
make a useful power reactor, you must have particle velocity, density,
and confinement time sufficient to produce enough reactions to generate
more power than is required to drive the reaction.
Tokamaks use magnetic confinement, and inject energy into the
confined plasma (typically by huge current discharges or bursts of
microwave energy) to heat the plasma to temperatures which raise the
velocity of the nuclei to overcome the Coulomb barrier. The powerful
magnets surrounding the reactor force the plasma ions (ions are atoms
missing some or all of their electrons) to follow tight circular paths
within the machine, isolating the plasma from the walls and giving high
confinement time, thus opportunity to react. However, there are
practical limits to magnetic field strength, and those limits are felt
most severely under the conditions where trapping is most needed.
Fast-moving ions needed to cause fusion make larger orbits than slower,
cooler ions, and thus temperature and density are in constant conflict.
There is also an inherent stability problem in these machines: when ions
collide without causing fusion (which is most collisions in a thermal
system), they tend to "jump to new field lines." Just a few collisions
will likely make them jump to the wall of the machine. The net result is
that while large tokamaks using superconducting magnets placed outside
the torus and lithium blanket can confine hot ions for long times at low
density, or cold ions for long times at higher density, you must build
very large machines in order to achieve sufficiently high temperature
(high ion velocity) and high density at the same time.
Laser- and particle beam-fired approaches (called Inertial
Confinement Fusion, or ICF) use small pellets or capsules of fusion fuel
flash-heated by extremely powerful lasers or particle beam pulses. The
fuel is usually liquid or even solid, so initial density is fairly high,
although this system requires the fuel to be compressed to a far higher
density in order to react. The capsule is not just a fuel container; it
serves to absorb the laser or beam energy, compress the fuel as the
capsule explodes, and provide mass (and inertia) to confine the heated
fuel long enough to react. The challenges in ICF stem from the fact that
high temperature causes rapid expansion of the capsule and fuel:
temperature and confinement time are in conflict. ICF machines also have
their own instability problem: once you compress the fuel pellet to a
small fraction of its normal size, it will find any little gap in what
you are compressing it with, and try to squirt out. So far these
problems have frustrated attempts to produce useful ICF fusion.
Both of these methods have achieved some limited success; that is,
they have produced fusion, far below breakeven. However, both use heat
as the means of raising the velocity of the ions, what physicists call "Maxwellian"
(randomly oriented and distributed) velocity. Stephen L. Gillett would
use the term "Promethean", for Prometheus, the bringer of fire. Both
approaches rely on the principle that a heated plasma contains a wide
distribution of particle velocities. "Temperature," in the sense of gas
and plasma physics, is the average kinetic energy of the particles
involved, and kinetic energy is proportional to particle mass and the
square of the velocity.
The trouble is, neither approach brings the average ion kinetic
energy up high enough to cause fusion. Only the fastest few percent of
ions reach the energy needed to overcome the mutual repulsion of the
Coulomb barrier. Furthermore, the heated ions move randomly in all
directions, thus collisions are at random angles which usually do not
produce fusion. What they need is particles hitting head-on at fusion
energies; but what goes on in thermal systems, at the particle level, is
virtually uncontrolled chaos: fast and slow particles colliding like
bumper cars at all angles.
Finally, while these heat-based methods do produce some fusion, they
do so only with the easiest of fuels: deuterium ("heavy hydrogen," with
a nucleus of one proton and one neutron), tritium (one proton with two
neutrons), and helium-3 (two protons and one neutron). Thermonuclear
fusion has been pushed on the public as "clean," i.e. not producing
nuclear waste. This turns out not to be quite the case. Reactions
between two deuterium nuclei (DD), or deuterium and tritium (DT) produce
neutrons. Most of the useable energy in the favored DT systems comes
from the neutrons, and the only way to exploit it is to slow them down
in a blanket of absorbing fluid (usually liquid lithium) which is then
used to make steam to run a turbine (more Promethean technology). In
fact, the DT systems depend on neutrons reacting with the lithium to
produce more tritium fuel, for tritium is a fast-decaying radioactive
isotope not found in nature. The neutron-lithium reaction also breeds
helium-3.
From time to time you may hear about this miraculous nuclear fuel,
helium-3, which supposedly can be mined from the lunar surface
(actually, the Jovian atmosphere is probably afar better source). The
claim often heard is that the reaction between deuterium and helium-3
produces no neutrons. While this is true, any such reactor will also
produce deuterium-deuterium reactions, which will produce neutrons.
While it is a substantial improvement over tritium, it is far from
aneutronic. If a DT reactor could kill you in one second, a DHe` reactor
would require about thirty seconds to kill you. Besides, as mentioned
above, that lithium blanket has a purpose: it reacts with the neutrons
to produce tritium and helium-3! The aneutronic reaction can't breed its
own fuel, but the neutron-producers can.
While the neutrons produced by these reactions can be harnessed to
make heat and more fuel, they have very undesirable side effects. They
render many engineering materials radioactive, transmute their elements,
and produce metallurgical damage. Thus, after a few years of operation,
the inside of the reactor becomes weakened and possibly even deformed.
Repairs and disposal of the damaged material are greatly complicated
because it is radioactive.
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Fusion the Easy Way - Using Vacuum Tube Technology
There are a variety of other potential fusion fuels for which the
necessary temperatures for fusion are simply too high to be achieved by
the thermonuclear technologies DOE is currently pursuing. How do we know
about these reactions? We have been doing them since 1928, using
extremely simple devices called linear accelerators . Charged particles
can be made to accelerate to enormous velocities and energies by means
of simple electric fields. By charging a grid to a few hundred thousand
volts, you can accelerate protons or other light nuclei fast enough to
fuse with almost any element in the periodic table. True, it takes far
more energy to run such a device than it produces, but the equipment is
extremely simple, and the "temperatures' achieved are easily sufficient
to produce most transmutation reactions between nuclei.
Let's bury this "temperature" nonsense right here and now. While you
may have heard a figure of something like fifty or a hundred million
degrees being required to produce fusion, in fact few researchers use
those numbers except to impress the public. The units of temperature
they use are "electron volts," which are easily understood in terms of
linear accelerator operation. For every electron's worth of charge on a
particle, multiply by the volts on the accelerating grid to get
electron-volts of energy. For purposes of impressing your friends, for
each electron volt, multiply by 11,604 to get degrees Kelvin. You may be
amused to know the electrons hitting the screen of the typical
television set are around 200 million degrees according to this scheme,
and 50 million degrees is a paltry 4300 electron volts.
At about the same time linear accelerators were first being
developed, development of vacuum tubes, or electron valves, was being
refined. Vacuum tubes use the principle that a very hot metal surface
will emit a cloud of electrons, which can be caused to cross a gap in a
vacuum to a positively charged "anode." In simple diode vacuum tubes, a
hot tungsten filament or heated thin cylindrical surface (the "cathode")
is surrounded by a cylindrical anode (also called the "plate") and
electrons will flow from cathode to the anode, but not from the anode to
the cathode.
One of the best-known researchers in the field was Irving Langmuir,
who had developed theories and confirmed by experiments the principles
of "space charge limitation" between tube elements composed of
concentric cylinders. In 1924, Langmuir and Katharine Blodgett
investigated the case of concentric spheres as a vacuum tube
configuration. While the device worked well, the normal configuration
was concentric cylinders, which were much easier to manufacture and also
worked well, so there was no widespread use made of this development at
the time. Limited use of the spherical configuration includes some "multipactor"
tubes and certain specialized light sources.
In the mid-1950's, P. T. Farnsworth (one of the inventors of
television) pondered the bright visible convergent focus glow that forms
in the center of spherical multipactor tubes, and came up with the idea
of using a spherical diode with the inner electrode in the form of a
highly transparent wire grid (i.e. a very open mesh screen) as a fusion
machine. Called the 'Fusor," the device, later patented, would cause
ions of fusion fuel to speed to the center of the machine. As they
converged on the central focus region, their density would increase
rapidly, making collisions more likely. Ions which did not collide would
decelerate out the other side, stop, and accelerate back to the center
for another try, conserving energy. The class of machines based on this
principle are "spherical convergent focus electrostatic ion
accelerators," with the abbreviation IXL to remind us that they use the
grids to accelerate ions (see figure 1). Because they use simple
electrostatic forces to accelerate and confine ions, and rely on the
inertia of the ions to store energy for collisions, the term Inertial
Electrostatic Confinement (IEC) is used for machines of this type. Be
careful not to confuse it with ICF, or laser/particle beam fusion.
By 1959, Elmore, Tuck, and Watson explored the idea of using
Farnsworth's gizmo backwards to accelerate electrons from the outer
sphere (a cathode) to the inner sphere (an anode). The inner sphere of
such a machine is a grid, which forms a geodesic "potential surface"
which the electrons aim for as if it were solid. However, when they get
there, most pass right through and coast in a straight line, converging
from all sides to the center, then they pass out the other side. What
results is a region at the center of the inner sphere with a very high
density of negative charge, called a "virtual cathode." This region will
attract positively-charged ions, which will tend to oscillate back and
forth through the central region. Provided more electrons are force-fed
into the system than ions, a "potential well" is formed in which the
ions are trapped by excess negative charge. Interestingly, an ion
oscillating entirely inside the inner grid will be trapped almost
indefinitely, thus theory predicted this device might be a surprisingly
efficient ion trap. However, the electrons had to pass through the grid,
which meant eventually most of them would hit the grid. Depending on the
grid's "transparency," an electron might make 10 to 50 passes before
being lost, requiring another electron and the power to fire it into the
system. Because the electrons had to outnumber the ions by a significant
margin, the researchers expected this device could be harnessed to
produce only tiny amounts of fusion, and decided it could never make a
workable power reactor. The Elmore, Tuck, Watson concept is an electron
accelerator, or EXL machine .
In 1967, Robert L. Hirsch published a paper describing a concentric
sphere device which produced "copious neutron emission". Hirsch (working
at the ITT/Farnsworth Lab under Farnsworth's enthusiastic encouragement)
used the IXL configuration, with the cathode (negative grid) in the
center and the anode (positive) to the outside. His machine was a
spherical version of a linear accelerator: positive ions formed at the
anode accelerated toward the central cathode grid (the opposite of the
behavior of electrons, which are negatively charged). Again, the
accelerated particles usually miss the inner grid, continuing on to the
center of the device. There they stood a fair chance of collision, and
very importantly, all of the particles were at the same energy, which
was sufficiently high for fusion to occur. If they missed or collided
without producing fusion, they could travel out the other side,
conserving their energy for another pass through the middle. Although
not all collisions were headon, particles which did not fuse rebounded
with most of their original energy. It did not matter to which direction
they rebounded, as all directions were uphill" against the potential
gradient, so they slowed down, and came rushing back "downhill" for
another try. Like the Elmore, Tuck, Watson design, the losses due to
grid collisions prevented breakeven, but a lot of fusion was possible,
nonetheless.
Dr. Hirsch operated his machine at up to -150,000 volts on the inner
grid, at currents up to 60 milliamps. Using DD and DT, the machine
produced abundant fusion, but far below breakeven. The neutron emissions
he achieved (published results on the order of a billion neutrons per
second, and unpublished results of around a trillion per second!) would
be considered dangerous today. Hirsch also built an ElmoreTuck-Watson
EXL machine, and verified it would produce a deep potential well.
What Hirsch's machine demonstrated was that, contrary to popular
belief, fusion is actually quite easy to produce, once the thermo
mindset is shed. The problem is to come up with a configuration that
does not waste the drive energy.
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The Nuclear Reactor High-School Science Project
I notice a few of you have gone glassy eyed on me. Trust me, this is
easy. A Farnsworth-Hirsch machine is so simple it could be built as a
high-school science project (though I caution that a knowledgeable
advisor should be sought, and good safety practices must be followed).
You will need to borrow, buy, or build some vacuum equipment, obtain a
small supply of deuterium, and figure out some instruments so you can
tell if it is working, but the actual reactor components are trivially
simple to build, and will cost only a few cents!
WARNING
The apparatus described in this article uses high voltages at
potentially lethal currents. High vacuum apparatus and compressed gasses
may also be dangerous if improperly used. This device may produce
ultraviolet radiation and soft x-rays. Do not attempt to build or
operate such a device unless you have been trained in high voltage
safety, and safe use of compressed gas cylinders and vacuum equipment,
and can verify that no unsafe radiation exposure occurs.
Regarding the presumed danger of building a nuclear reactor, the
simple fact is that the proposed machine would run at the very bottom
end of the voltage required for fusion, and it will take some skill and
effort to even detect the neutron output. The real danger is in the
potentially lethal high voltages used, and some lesser concerns for safe
handling of compressed flammable gas and operation of vacuum equipment.
A metal vacuum vessel will stop virtually all of the weak x-rays which
may be produced (a little tamer than those produced by a television),
and a thick glass window will stop most ultraviolet radiation produced.
The voltages involved are somewhat lower than those present in an
ordinary television set, which also has a large, fragile, glass vacuum
vessel, and I would characterize the project as about as dangerous as
television repair. They still teach television repair in high school
technical education programs, don't they? But make no mistake, the
insides of a television set can kill you in a heartbeat.
While you will wish to rig a method for detecting and quantifying
neutron production (that being your proof you are making fusion), the
levels produced by the machine described below should be so low you
would have to stand a meter away from the machine for twelve days of
continuous operation before you got a 100 mrem dose of neutrons (and
that is a trivial dose). Most likely, the device will be run only for a
few minutes at a time at actual fusion conditions. Still, if for no
other reasons than the educational benefits and common sense, I would
advise the experiment be done with due consideration to nuclear safety.
For those wusses who don't wish to "go nuclear," or who cannot find
qualified advisors, you can still demonstrate the visible glow by using
a non-nuclear gas (the residual air in the vacuum chamber will do)
running at below fusion voltages. In fact, even without producing
fusion, you can do a lot of interesting and useful science with these
devices.
The expensive component is the vacuum system, which may have to be
borrowed or scrounged. The pressure required can be achieved by a simple
mechanical rotary-vane roughing pump (a two-stage "micron" pump used for
refrigeration repair will do) if the system is compact and tight,
although it would be preferable to have a higher-performance system.
Such a pump, used, can cost around $750 (a lucky scrounger I know has
stumbled onto several for $150 or less), so a borrowed pump will be a
real advantage if you are as broke as I chronically was in high school.
A vacuum chamber and some high-voltage and conventional electrical
feedthroughs will be needed. A metal vacuum chamber with a thick glass
viewport is far preferable, and I managed to find materials for one at a
scrapyard for $30. I have built a small demonstrator device in a $90
plastic desiccator chamber, but it did not achieve good enough
conditions for fusion, finally failed due to a stray electron beam
heating the walls, and provided little protection against x-rays or
ultraviolet light. Glass vacuum containers such as bell jars are fragile
and consequently dangerous, and must be used with guards, face
protection, and with great care. Spark plugs will do as high voltage
feedthroughs, and spark plug wire for high voltage cable, for
researchers who are "cash-chalk lenged." Homemade vacuum instruments can
be made from light bulbs or old vacuum tubes.
I have achieved the blue glow of convergent ion focus using a furnace
ignition transformer and a pair of high-voltage diodes. This will
produce close to five thousand volts, and ignition transformers are
usually current-limited to a level that probably won't stop a healthy
teenage heart. Such a transformer will not produce significant fusion,
but makes a pretty glow which will demonstrate the convergence effect.
Higher voltage and power can be obtained using a 15,000 volt (7,500
volt RMS centertapped) neon sign transformer with two high voltage
diodes, which can produce over 10,000 peak volts DC, and considerably
more current than the ignition transformers. I have successfully pushed
such a transformer to 13,000 volts. This power source can produce
measurable fusion. Before buying one, check with an electrical
contractor who remodels commercial property, as they frequently dispose
of such transformers from old neon signs. You would prefer the
higher-current 60mA variety if you can get it, and need at least a 30mA
unit. This transformer can kill, particularly if you use a capacitor on
it to filter the AC ripple.
Deuterium gas is not radioactive, and can be purchased without
special license through many gas suppliers, sometimes even through
welding suppliers. A lecture bottle should cost around a hundred
dollars, and you will also need a suitable regulator, which you may be
able to borrow, or at least re-sell after you are done with it.
The reactor grids themselves will cost a few cents and take about an
hour to build, if you have access to a small spotwelder. What, no
spotwelder?!! Build one yourself with common parts from an electronics
store . Each grid can be formed from six rings of stainless steel
welding wire. I have used 0.025 inch diameter wire, which is cheap and
easy to work. Buy it from any welding supply dealer. Figure 2 shows how
to fit the rings into geodesic spheres. The dimensions can be adjusted
to fit your apparatus. Typically the outer grid is somewhere between the
size of a beach ball down to the size of a volleyball, and the inner
grid is from the size of a softball down to the size of a ping-pong
ball. You may gather from this that precision in diameter is not an
issue. It also is surprisingly unimportant that the grids be perfectly
spherical or mathematically precise.
While a specially-built neutron counter is the most convenient way to
detect neutrons, there are at least two cheaper methods. Neutrons react
with many elements to produce new elements, which are frequently
radioactive. Plain old aluminum is one such element, and another is
indium foil. Gamma rays from the products can be measured by a Geiger
counter (I have seen plans for home-made models in reference 7), or can
be detected by sensitive photographic film. Neutrons from fusion must be
slowed down to make these reactions work, a process called "moderating."
Two good moderating compounds are water and paraffin wax. There are also
special plastics available which produce tiny flashes of light when hit
by neutrons, which can be electronically or photographically detected.
A professional lab could probably manage to sink $50,000 in equipment
for such a project. Purchasing used equipment, you could probably build
a simple unit for well under $2,000. I suspect a particularly talented
scrounge/beggar could get by for around $500 out of pocket, which I
estimate could be raised in under a month of flipping burgers, or a
couple of days of computer consulting.
At higher pressures (about one onehundred-thousandth of atmospheric
pressure), the system will work in "glow discharge mode," the way a neon
sign works. This is the easy way to go, as it requires no fancy electron
guns or extra power supplies. Those of you with access to higher
performance vacuum systems may wish to venture to lower pressures, where
the recirculation becomes far more efficient. This requires a source of
electrons to generate ions. There are a number of ways to do this, but
they are too involved for this article. These methods are described in
the referenced papers, and can also be accomplished with cheap and
available odds and ends.
If you jack the inner grid voltage on this simple little machine up
to l0,000 volts or more, and feed deuterium to the system at a pressure
a little under 10 microns, it should produce fusion, evidenced by net
neutrons I have seen a 17-year-old build a grid that produced 300,000
neutrons a second at 13,000 volts.
So you see, you can build a fusion reactor with parts from an
electronics store, auto parts store, welding shop, refrigeration
supplier, hardware store, and craft store, perhaps with a bit of
dumpster-diving on the side, and creative use of big, sad, pleading
eyes. It really doesn't take tens of billions of dollars!
These hints should be enough to get you started. I don't want to
describe the apparatus too completely, because hitting the books and
figuring this out is how you earn that science fair prize dancing before
your eyes right now.
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Can The Problems Be Overcome?
While machines based on Farnsworth's Fusor are indeed easy to build,
and worked better than any thermonuclear fusion machines until quite
recently, it was immediately apparent to the researchers that they could
never reach breakeven. The reason, quite simply, was that either
configuration required grids, and grids simply could not be built more
than about 98% transparent and be expected to support their own weight,
especially as they typically run red hot when fusion conditions are
achieved. The machines seemed doomed to operate at no more than 0.01% of
breakeven. A few researchers struggle on, tantalized by the fact that
the machines seem to have modes of operation which are better than
theory predicted. Dr. George Miley of the University of Illinois has
shown that a "star mode" develops in which recirculation passes
primarily through the grid openings, reducing grid losses. There also
appears to be considerable fusion occurring immediately outside the
convergent focus region, where head-on collisions dominate, which was
neglected in early analysis. Still, these improvements fall far short of
what is needed for a power reactor.
Basically,-the grids had to disappear!
A way may be forthcoming. The actual inventor of the scheme below
asked me to drop my original glowing testimonial. He is entirely too
modest, if you ask me, but I understand his motives. Still, he isn't
getting off without his name being mentioned here, and at least a few of
his extensive accomplishments. You may have heard of him as the inventor
of the interstellar ramjet concept featured in Tau Zero and many other
science fiction stories: Dr. Robert W. Bussard. In the 1950's, he
proposed and designed a workable nuclear fission rocket engine, which
led to KIWI-A, the first predecessor of NERVA. KIWI-A was ready to test
before Sputnik was launched.
Dr. Bussard also worked with Dr. Hirsch in the thermonuclear fusion
pro gram at the old Atomic Energy Commission, predecessor of the DOE.
Both of them recognized the finer points of the IEC machines, and
wondered if a way could be found to get around the grid problem.
When life hands you a lemon, it has been said, you should make
lemonade. Dr. Bussard was struggling with another of his inventions, a
small tokamak called the Riggatron, which looked marginally workable,
but had turned out to be far too expensive to build with the available
money. The enormous energy required to bring the magnets up to a field
strength that would trap the plasma would require a monster
flywheel-generator that was simply way over budget. The problem with
tokamaks, he realized, was that ions are so damnably hard to trap with
magnetic fields, particularly under fusion conditions. Yes, using
superconductors, or by putting copper coils very close to the plasma and
pushing them to their limits, it was possible to trap light ions like
deuterium and tritium, but as soon as they collided they would tend to
jump field lines, unless the fields were especially powerful. Achieving
that field strength was turning out to be a killer problem.
It was a pity, Bussard thought, that ions are not as simple to trap
with magnetic fields as are electrons. Because electrons are thousands
of times lighter than fusion fuel ions, they are deflected easily by
much weaker magnetic fields. If the little tokamak contained only
electrons, they could be held at high energy and density quite
efficiently. And then an epiphany struck.
It might just be possible to build an EXL machine with magnetically
insulated grids. The magnetized grids would accelerate electrons just as
well as wire grids, but it would be next to impossible for the electrons
to actually bit the grid. Ions formed just inside the grid would be
drawn into the potential well and oscillate until they collided, totally
unimpeded by grids, and trapped by the one thing that holds them
vigorously-an electrostatic potential. From time to time, theory seemed
to pose a fatal obstacle, but each time a closer analysis of the
obstacle revealed a solution that made the theory work even better.
Funding was found to build a largescale (1-meter radius) machine,
which demonstrated that the system could produce a deep potential well.
Further small-scale work showed successful magnetic trapping of dense
electron clouds. Theory and computer simulation seem to support the
models and experiments, with no roadblock problems found, yet.
The theory and preliminary lab studies look good. A few million
dollars would fund a working prototype, and if that doesn't work,
indications are that scaling up a factor of ten in volume almost
certainly would. While not cheap for most of us, compared to the DOE
budget for the last 20 years it is practically petty cash. Will it
succeed? At this point, only time will tell.
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The Possibilities
If successful, the impact of this type of reactor would be enormous.
I need not describe the overall economic consequences in too great a
detail to this audience: science fiction is chock-full of stories in
which we developed cheap, clean fusion to replace petrochemical fuels
and to power our spacecraft. However, Bussard's magnetic-grid EXL
version of the Fusor shows promise as a power source that sounds like
science fiction. One reason is that it doesn't have to run on nasty
neutron-producing fuels like deuterium and tritium.
As mentioned earlier there are many nuclei which can produce net
fusion energy besides deuterium, tritium, and helium-3. Most of them are
not commonly discussed, because they require far higher collision
energies than DT reactions. Since DT reaction conditions themselves are
a formidable challenge for thermonuclear approaches, the other fuels are
simply out of the question for tokamaks or ICF systems. These
limitations become almost trivial in spherical convergent focus
accelerators, however. By simply jacking the voltage up to a couple of
hundred kilovolts, the electrons can be made to produce a deeper
potential well, and the ions race to the focus region faster. This
requires scaling up the hardware, but does not appear to require any
great leaps of technology.
Among the fusion fuels is a favorite of Dr. Bussard: the reaction
between ordinary hydrogen nuclei (protons) and boron-11. Boron can be
mined as borax or other minerals, and is readily extracted from
seawater. About 80% of natural boron is the boron-11 isotope. The fuel
is plentiful.
The p-B11 reaction is ideal: When the two nuclei fuse. they form
excited carbon-12, which is unstable and almost immediately begins to
fly apart. In two rapid stages, it casts off an energetic alpha particle
(a helium nucleus), then the remaining nucleus splits into a pair of
alpha particles. The first particle, carries 43% of the reaction energy,
and comes off at precisely 3.76 million electron volts, which turns out
to be very handy. The other two alphas come off at an average of 2.46
million electron volts each, over a spread of energies. Finally, the
reaction produces no neutrons or high-energy gamma rays. There is a
little bremsstrahlung ("braking radiation" basically x-rays) from
collisions associated with the reaction, easily shielded. Alpha
particles are dangerous if produced in your body, but can be stopped by
the thinnest of shields, and are essentially harmless in a reactor
vessel. Once they pick up two electrons, alpha particles become helium,
a harmless inert gas. There is no radioactive waste produced in this
reaction!
Lithium can also undergo similar reactions, producing charged
particles, and is an alternative fuel for such a reactor. Most nuclear
power generation systems produce heat by one mechanism or another, which
is in turn used to heat a "working fluid" to run turbines or otherwise
do mechanical work. The process of converting heat to mechanical energy
by such means is inherently inefficient. Rarely does more than about a
third of the energy end up in usable electrical or mechanical form, and
the theoretical limit is around 40% for most practical fluids, engine
materials, and operating temperatures. This fact has depressed
thermodynamics students for the last century or so, but there appears to
be no getting around it using primitive "Promethean" technology.
While you could simply, allow the alpha particles from the p-B11
reaction to slam into the reactor walls producing heat, there turns out
to be a much better way to extract their energy. Alpha particles, which
are helium atoms stripped of their two electrons, have a charge of +2.
Each of the particles produced by this reaction has a kinetic energy of
around 3 million electron volts. An electron volt is the energy a
particle of charge 1 will pick up when accelerated through a field of 1
volt. The reverse is true, too. To slow down a 3MeV particle with a
charge of +2, simply decelerate it with a +1.5-million-volt electric
field. The particle will just kiss into the charged surface, and draw
two electrons from it, producing current at high voltage. This method
has been used to extract small amounts of power from alpha-emitting
radioactive substances, and should also work for a large reactor of the
correct configuration. The correct configuration is a spherical vacuum
chamber (which this reactor just happens to be) with several charged
grids to pick off the lower energy alphas, and the outer walls charged
to catch the high energy alpha. It should be possible to approach 95%
conversion of fusion energy to electricity with such a system (the rest
being lost to bremsstrahlung and a few other minor mechanisms). This is
quite remarkable-a nuclear reaction which allows almost all of the
energy produced to be directly converted to high-grade electrical power!
You might think that if nuclear energy is so cheap, efficiency would not
be a problem. For power plants, particularly large ones, waste heat
release can cause local environmental changes, either by heating a body
of cooling water, or causing local weather changes when watermist
cooling towers are used. The cooling apparatus is generally massive, and
can easily cost more than the actual power-generating equipment!
Waste heat in spacecraft is even more serious. Any nuclear-electric
powerplant using gas turbines or similar equipment must get rid of the
excess heat in order to operate. Since there is no air or water in space
to conduct away the heat, it must be radiated. For a thermal-cycle
reactor of sufficient power to operate even a modest manned spacecraft,
the radiators will be on the order of the size of football fields. They
end up being a huge portion of the dry mass of the spacecraft, and
simply ruin the performance. Thus, a reactor that can produce electrical
power directly, at 95% efficiency, has a tremendous performance
advantage over its thermal/mechanical/electric counterpart.
(By the way, you have seen heat radiators on spacecraft in Analog
artwork many times. Vincent Di Fate tells me that's what those "fins"
are on the back of his sleek designs.)
Dr. Bussard has done some preliminary design studies on spacecraft
that could realistically be built around p-B11 reactors. Most use a
large and very powerful reactor of close to 10 billion watts capacity.
While fairly bulky, with a diameter of around 5 meters, the reactor is
mostly empty vacuum, with only the magnetic-grid and a few electron and
ion guns in it. It is thus exceptionally light for the power produced.
Supporting cryogenic and power conversion equipment should also be
practical space hardware, and not especially massive.
Because the reactor produces no radioactive waste and only a trace of
radiation, it will be safe to operate in the atmosphere. Using
high-voltage electron beams to superheat gas, one could build either an
air-breathing jet or a rocket (relying on on-board reaction mass). In
space, the rocket configuration will be used. Because the reactor can
work only if there are far more electrons in it than fuel ions, it is
also "intrinsically safe": if you feed it too much fuel, it just chokes
off.
There are many ways of exploiting the EXL reactor output to produce
rocket thrust, but the fact that the lrB I powerplant produces
high-voltage electricity makes it particularly suited for arc-jet
propulsion's meaner big brother. In a million-volt-plus electron beam
the electrons are pushing lightspeed, so the term relativistic electron
beam (REB) is used. With some heavy-duty R&D, it is expected that REB-heating
can be made quite efficient, and should be able to impart high velocity
to the reaction mass. Water would be a perfectly suitable reaction mass,
as would almost any other handy and abundant material. REBs are not
picky about what they blast to plasma. Dr Bussard calls the REB-heated
systems "QED" (Quiet Electric Discharge) engines.
For longer-range missions, where quick acceleration is less
important, a more efficient rocket which uses the fusion exhaust
directly could be built. This would be the system of choice for trips to
the outer planets, or even out to the Oort cloud. Dr. Bussard calls
these more efficient systems "DFP (Direct Fusion Product) engines.
It would be possible to build a "singlestage-to-anywhere" (SSTA)
rocket, useable in the atmosphere or in space, with this technology,
but, for bulk transport, this would probably be less practical than
having separate atmospheric shuttles (with wings), space transports
(equipped for long voyages but stripped of wings and landing gear), and
landers engineered for the various destinations. From a science fiction
standpoint, though, the SSTA possibilities are really attractive.
What kind of performance could realistically be achieved? Try these
figures from some of Dr. Bussard's papers9,10,11!
Low Earth Orbit (LEO) to Mars; 33 days, more or less, for high
performance designs, or 6 weeks for economical freight-hauling
variations. The craft are single-stage, with a 15-20% payload fraction.
LEO to Saturn's Moons:as low as two months, with a short coasting
period. Again, the craft is single-stage, and has a 14% payload fraction
How would such a rocket affect the economics of space exploitation?
Most estimates you have heard in the past were for multistaged
chemically-propelled rockets, which can barely achieve Earth orbit, the
upper stage of which must limp to the planets along painfully slow
Hohmann ellipse orbits. Chemical rockets are almost all fuel and barely
any payload. While rocket fuel is fairly cheap, rockets are not, and
each flight has a high operating cost in labor and hardware. Dividing
the cost of a large rocket by a payload mass somewhere just above zero
gives a really depressing cost per kilogram. Efficient EXL fusion
rockets, reusable for many flights, fast enough to make many flights
before becoming obsolete, and with a high payload for each mission, can
improve economics by several powers of ten. Consider the following
colonization figures extracted from a more recent paper by Dr.
Bussard,12 and I recommend you read these sitting down:
Cost to LEO: $27/kg (a price that compares favorably to the cost of
riding the Concorde across the Atlantic).
4000 people on Earth's moon, each person with 25 metric tons of
equipment, and each person receiving an annual visit back to Earth: $12
billion over ID years.
1200 people on Mars, each with 50 tons of equipment, and an annual
visit back to Earth: $16 billion over 10 years.
400 people on Titan, each with 60 tons of equipment, and an annual
visit back to Earth. $16 billion over 10 years.
I leave you to ponder these figures, particularly in light of the
projected costs of sending a few people to explore Mars with chemical
rockets, typically estimated on the order of a hundred billion dollars
per trip. In particular, consider what these numbers would mean to your
personal chances of living and working in space.
back to top
References
1. Stephen L. Gillett, Ph.D. "Beyond Prometheus," Analog, Dec 1993.
2. "Nucleus", Encyclopedia Britannica, 1955, v. 16, p. 589, re. the
"cascade transformer* of Lauritsen, Crane, et al., and later work by
Cockcroft and Van de Graff.
3. Irving Langmuir and Katharine B. Blodgett, "Currents Limited by
Space Charge Between Concentric Spheres," Physics Review, 23, pp.
49-59, 1924.
4. P. T. Farnsworth, U.S. Patent No. 3,258,402, issued 28 June
1966.
5. On the Inertial-Electrostatic Confinement of a Plasma," William
C. Elmore, James L. Tuck, Kenneth M. Watson, The Physics of Fluids, v.
2, no. 3, May-June 1959.
6. "Inertial-Electrostatic Confinement of Ionized Fusion Gases",
Robert L. Hirsch, Journal of Applied Physics, v. 38, no. 11, October
1967.
7. John Strong, Procedures in Experimental Physics, c. 1938,
Prentis-Hall; reprint c.1986, Lindsay Publications Inc, Bradley lL.
ISBN 0-917914-56-2.
8. R. W. Bussard, "Method and Apparatus for Controlling Charged
Particles," U.S. Patent 4,826,626 (2 May 1989).
9. R. W. Bussard, "Fusion as Electric Propulsion,"Journal of
Propulsion and Power, v 6, no 5, September-October 1990, pp. 567-574.
10. R. W. Bussard and L. W. Jameson, "From SSTO to Saturn's Moons:
Superper for mance Fusion Propulsion for Practical Spaceflight," 30th
AIAA/ASME/SAE/ASEE Joint Propulsion Conference, 27-29 June, 1994, ALAA
94-3269.
11. Inertia-Electrostatic-Fusion Propulsion Spectrum: Air-Breathing
to Interstellar Flight, R W. Bussard and L. W. Jameson, Journal of
Propulsion and Power, v. 11, no. 2, pp. 365-372.
12. R. W. Bussard, "System Technical and Economic Features of
QED-Engine-Driven Space Transportation," 33rd AIAA/ASME/SAE/ASEE Joint
Propulsion Conference and Exhibit, 69 July, 1997, AIAA 97-3071.
Tom Ligon is a consultant and science fiction writer, presently
working with R. W Bussard at Energy-Matter Conversion Corporation. Tom
would be glad to hear from any science fair projecteers seriously
attempting the project in this article, either by e-mail (tomligon@compuserve.com),
or by mail at 8825 Centreville Rd, #190, Manassas, VA 20110.