Previous work In 1934,
Mark Oliphant,
Paul Harteck and
Ernest Rutherford were the first to create fusion, using a
particle accelerator to shoot
deuterium nuclei into a metal foil containing
deuterium,
lithium or other elements. These experiments allowed them to measure the
nuclear cross section of various reactions of fusion between nuclei. They determined that the
tritium–deuterium reaction occurred at a lower energy than any other fuel, peaking at about 100,000
electronvolts (100 keV). 100 keV corresponds to a temperature of about one billion
kelvin. As described by the
Maxwell–Boltzmann statistics, a bulk gas at a much lower temperature will still contain some particles at these energies. Because fusion reactions release so much energy, even a small number of such reactions can release enough energy to maintain the gas at the required temperature. In 1944,
Enrico Fermi demonstrated that this would occur at a bulk temperature of about 50 million Celsius, within the range of existing experimental systems. The key problem was confining the plasma; no material container could withstand those temperatures. However, plasmas are electrically conductive, subjecting them to electric and magnetic fields. In a magnetic field, the plasma's electrons and nuclei circle the magnetic lines of force. One confinement approach is to place a tube of fuel inside the open core of a
solenoid. A solenoid creates magnetic lines running down its center, and fuel would be held away from the walls by orbiting these lines of force. But such an arrangement does not confine the plasma along the length of the tube. The obvious solution is to bend the tube around into a torus (donut) shape, so that any one line forms a circle, and the particles can circle forever. However, for purely geometric reasons, the magnets ringing the torus are closer together on the inside curve, inside the "donut hole". Fermi noted that this would cause the electrons to drift away from the nuclei, eventually causing large voltages to develop. The resulting electric field would cause the plasma ring inside the torus to expand until it hit the reactor walls.
Stellarator After
World War II, researchers began considering ways to confine a plasma.
George Paget Thomson of
Imperial College London proposed a system now known as
z-pinch, which runs a current through the plasma. Due to the
Lorentz force, this current creates a magnetic field that pulls the plasma in on itself, keeping it away from the walls. This eliminates the need for external magnets, avoiding Fermi's problem. Various teams in the UK built a number of small experimental devices using this technique by the late 1940s.
Ronald Richter was a German scientist who emigrated to
Argentina. His thermotron used electrical arcs and mechanical compression (sound waves) for heating and confinement. He convinced
Juan Perón to fund development of an experimental reactor. Known as the
Huemul Project, this was completed in 1951. Richter convinced himself fusion had been achieved despite disagreements with other researchers. While preparing for a ski trip to Aspen, Spitzer received a telephone call from his father, who mentioned an article on Huemul in
The New York Times. Spitzer concluded it could not possibly work; the system could not provide enough energy. He then began considering alternatives. The stellarator concept came while riding a
ski lift. His approach was to modify the torus' geometric layout to address Fermi's concerns. By twisting one end of the torus compared to the other, forming a figure-8 layout instead of a circle, the magnetic lines moved closer and further from the torus' center. A particle orbiting these lines constantly moves in and out across the minor axis of the torus, drifting upward through half of one orbit and reversing in the other. The cancellation is not perfect, but it appeared this would sufficiently reduce net drift that the fuel would remain trapped long enough to reach the required temperatures.
Matterhorn A secret research lab at
Princeton University carried on theoretical work on
H-bombs after 1951. Spitzer was invited to join this program, given his previous research in interstellar plasmas. Spitzer then lost interest in bomb design, and turned his attention to fusion as a power source. Spitzer produced a series of reports outlining the conceptual basis for the stellarator, as well as potential problems. The series is notable for its depth; it included a detailed analysis of the mathematics of the plasma and stability along with heating the plasma and dealing with impurities. Spitzer began to lobby the
United States Atomic Energy Commission (AEC) for funding. His plan involved three stages, each relying on the success of the prior stage over the course of a decade: • Model A was tasked to demonstrate that a plasma could be created and that its confinement time was better than a
torus. • Model B would heat the plasma to fusion temperatures. • Model C would attempt to create fusion reactions at a large scale. Around the same time,
Jim Tuck had been introduced to the pinch concept while working at
Clarendon Laboratory at
Oxford University. He eventually ended up at Los Alamos, where he acquainted the other researchers with the concept. When he heard Spitzer was promoting the stellarator, he travelled to Washington to propose building a pinch device. He considered Spitzer's plans "incredibly ambitious". Nevertheless, Spitzer was funded with $50,000, while Tuck received nothing. Spitzer, an avid mountain climber, proposed the name "
Project Matterhorn" because he felt that "the work at hand seemed difficult, like the ascent of a mountain". Two sections were initially set up, S Section working on the stellarator under Spitzer, and B Section working on bomb design under Wheeler. Spitzer set up the top-secret S Section in a former rabbit hutch. The other labs then began agitating for their own funding. Tuck managed to arrange some funding for his
Perhapsatron through some discretionary budgets at LANL, but other teams at LANL,
Berkeley and
Oak Ridge (ORNL) also sought funds. The AEC eventually organized Project Sherwood, a new department for these projects.
Early devices Spitzer invited
James Van Allen to join the group and set up an experimental program. Allen suggested starting with a "tabletop" device. This led to the Model A design, which began construction in 1952. It was made from 5 cm
pyrex tubes about 350 cm in total length, and magnets capable of about 1,000 gauss. The machine began operation in early 1953 and clearly demonstrated improved confinement over the simple torus. This led to Model B, whose magnets were not well mounted and tended to move when powered to 50,000 gauss. A second design failed for the same reason, but this machine demonstrated several-hundred-kilovolt
X-rays that suggested good confinement. Next came the B-1, which used ohmic heating to reach around 100,000 degrees. This machine demonstrated that impurities in the plasma emitted large
x-rays that cooled the plasma. In 1956, B-1 was rebuilt with an ultra-high vacuum system to reduce impurities, but found that even at smaller quantities they were still problematic. Another effect was that during the heating process, the particles would remain confined for only a few tenths of a millisecond, while once the field was turned off, any remaining particles were confined for as long as 10 milliseconds. This appeared to be due to "cooperative effects" within the plasma. B-2 was similar to B-1, but used pulsed power to allow it to reach higher magnetic energy and included a second heating system known as magnetic pumping. This machine was modified to add an ultra-high vacuum system. Unfortunately, B-2 demonstrated little heating from the magnetic pumping, given its longer required confinement times. It was displayed at the
Atoms for Peace show. However, heating system modifications increased the coupling, demonstrating temperatures within the heating section as high as , around 12 million K. B-64 was completed in 1955, essentially a larger B-1, but powered by pulses that produced up to 15,000 gauss. This machine included a
divertor, which removed impurities from the plasma, greatly reducing the x-ray cooling effect. B-64 included straight sections in the curved ends which gave it a squared-off appearance. This appearance led to its nickname, "figure-8, squared", "8 squared", or "64". In 1956 the machine was re-assembled without the twist in the tubes, allowing the particles to travel without rotation. B-65, completed in 1957, was built using the "racetrack" layout, following the observation that adding helical coils to the curved portions of the device produced a field that introduced the rotation purely through the resulting magnetic fields. This had the added advantage that the magnetic field included
shear, which was known to improve stability. B-3, also completed in 1957, was an enlarged B-2 with ultra-high vacuum and pulsed confinement up to 50,000 gauss and projected confinement times as long as 0.01 second. The last B-series was the B-66, completed in 1958, essentially a combination of the racetrack layout with the larger size and energy of the B-3. Unfortunately, these larger machines demonstrated "pump out". This effect caused plasma drift rates higher than classical theory suggested and much higher than the Bohm rates. B-3's drift rate was a full three times that of the worst-case Bohm predictions, and failed to maintain confinement for more than a few tens of microseconds.
Model C As early as 1954, design of Model C was taking shape. It emerged as a large racetrack with multiple heating sources and a divertor, essentially a larger B-66. Construction began in 1958 and was completed in 1961. It could be adjusted to allow a plasma minor axis between and was in length. The toroidal field coils normally operated at 35,000 gauss. By the time Model C began operations, it was understood that it would not produce large-scale fusion. Ion transport across the magnetic field lines was much higher than classical theory suggested. Greatly increased magnetic fields did little to address this, and confinement times did not improve. Attention turned to theoretical understanding of the plasma. In 1961,
Melvin B. Gottlieb took over Matterhorn from Spitzer, and the project was renamed the
Princeton Plasma Physics Laboratory (PPPL). Continual experimentation slowly improved the machine, and confinement times eventually increased to match that of Bohm predictions. Over time, new versions of the heating systems increased the temperatures. Notable was the 1964 addition of a small
particle accelerator to accelerate fuel ions to high enough energy to cross the magnetic fields, depositing energy within the reactor when they collided with ions already inside. This
neutral beam injection method is nearly universal on
magnetic confinement fusion machines. Model C spent most of its history involved in studies of ion transport. Through continual tuning of the magnetic system and the addition of the new heating methods, in 1969, Model C eventually reached electron temperatures of 400 eV, 4.6 million K.
Other approaches Stellarator designs proliferated, adopting a simplified magnetic layout. Model C used separate confinement and helical coils. Other researchers, notably in Germany, noted that the same overall magnetic field configuration could be achieved with a much simpler arrangement. This led to the torsatron or heliotron layout. In these designs, the primary field is produced by a single helical magnet, similar to one of the helical windings of the "classical" stellarator. Only a single, much larger magnet is needed. To produce the net field, a second set of coils running poloidally around the outside of the helical magnet produces a vertical field that mixes with the helical one. The result is a much simpler layout, as the poloidal magnets are generally much smaller and leave ample room between them to reach the interior. The total field could be produced through independent magnets shaped like the local field. This results in complex magnets arranged like the toroidal coils of the original layout. The advantage of this design is that the magnets are entirely independent; if one is damaged it can be individually replaced without affecting the rest of the system. Additionally, the overall field can be rearranged layout by replacing the elements and became common.
Tokamak surge In 1968, scientists in the
Soviet Union released the results of their
tokamak machine experiments, notably T-3. The results were so unexpected that scepticism was widespread. To address this, the Soviets invited experts from the United Kingdom to test the machines. Their tests used a
laser system developed for the
ZETA reactor to verify the Soviet claims of electron temperatures of 1,000 eV. What followed was a "veritable stampede" of tokamak construction worldwide. At first US labs ignored the news; Spitzer dismissed it as experimental error. However, as more results surfaced, especially the UK reports, Princeton defended the stellarator while other groups were clamoring for funds to build tokamaks. In July 1969 Gottlieb had a change of heart, offering to convert the Model C to a tokamak layout. In December it was shut down and reopened in May as the Symmetric Tokamak (ST). The ST immediately matched the performance of the Soviet machines, besting Model C's results by over tenfold. Thereafter, PPPL was the primary developer of the tokamak approach in the US, introducing a series of machines to test various designs. The
Princeton Large Torus of 1975 quickly achieved several performance metrics required for a commercial machine, and it was widely believed the critical threshold of
breakeven would be reached in the early 1980s based on larger machines and more powerful heating systems. Tokamaks are a type of pinch machine, differing from earlier designs primarily in the amount of current in the plasma: above a certain threshold known as the
safety factor, or
q, the plasma is much more stable. ZETA ran at a
q around , while experiments on tokamaks demonstrated it needs to be at least 1. Machines following this rule showed dramatically improved performance. However, by the mid-1980s fusion power remained out of reach; as the amount of current in the new machines began to increase, new instabilities in the plasma appeared. These could be addressed, but only by greatly increasing the power of the magnetic fields, requiring
superconducting magnets and huge confinement volumes. The cost of such a machine was such that the involved parties banded together to begin the
ITER project.
Stellarator returns As the tokamak approach faltered, interest in stellarators reemerged. New materials and construction methods increased the quality and power of the magnetic fields, improving performance. New devices built to test these concepts include
Wendelstein 7-X (W7-X) in Germany, the
Helically Symmetric Experiment (HSX) in the US, and the
Large Helical Device in Japan. W7X and LHD use
superconducting magnetic coils. The lack of an internal current eliminates some of the tokomak's instabilities, allowed the stellarator to be more stable given similar operating conditions. Since it lacks the confinement provided by the current found in a tokamak, the stellarator requires more powerful magnets to reach any given confinement. The stellarator is an inherently steady-state machine, which has several engineering advantages. In 2023 PPPL built an experimental device using mainly commercial components at a cost of $640,000. Its core is a glass vacuum chamber surrounded by a
3D-printed nylon shell that anchors 9,920
permanent magnets. Sixteen electromagnets wrap the shell.
2000- Transport losses The goal of magnetic confinement devices is to minimise
energy transport across a magnetic field. Toroidal devices are relatively successful because the magnetic properties seen by the particles are averaged as they travel around the torus. The strength of the field seen by a particle, however, generally varies, so that some particles will be trapped by the
mirror effect. These particles will not be able to average the magnetic properties so effectively, which increases energy transport. In most stellarators, these changes in field strength are greater than in tokamaks, which is a major reason that transport loss tends to be higher. University of Wisconsin electrical engineering Professor David Anderson and research assistant John Canik proved in 2007 that the
Helically Symmetric eXperiment (HSX) can overcome this major barrier in plasma research. The HSX is the first stellarator to use a quasi-symmetric magnetic field. The team designed and built the HSX, reporting that
quasi-symmetry reduced energy transport.
W7-X was designed to be close to
omnigeneity (a property of the magnetic field such that the mean radial drift is zero), which is a necessary but not sufficient condition for quasi-symmetry. W7-X experiments revealed turbulence-induced anomalous diffusion. Its optimized magnetic field showed effective control of bootstrap current and reduced neoclassical energy transport, enabling high-temperature plasma conditions and record fusion values along with longer impurity confinement times during turbulence-suppressed phases. These findings highlight the success of magnetic field optimization in stellarators.
Divertor At W7-X, the island
divertor stabilized detached plasma scenarios and reduced
heat fluxes on divertor targets. This design created multiple adjacent counter-streaming flow regions that reduce flow speed parallel to magnetic field lines, leading to substantial heat flux mitigation. Radiative power exhaust by impurity seeding was demonstrated in island divertor configurations, resulting in stable plasma operation and reduced divertor heat loads. The edge magnetic structure in quasi--omnigenous and helically symmetric stellarators such as W7-X and HSX, impacts particle fueling and exhaust. The magnetic island chain can be used to control plasma fueling from recycling source and active gas injection.
Private sector Private sector stellarator projects began emerging in 2018. Participants include Renaissance Fusion, Proxima Fusion, Type One, and Thea Energy. Proxima Fusion is a Munich-based spin-off from the
Max Planck Institute for Plasma Physics, which steered the W7-X experiment. In February 2025, it announced plans to build a test magnet from high-temperature superconductors in 2027 and a demo unit in 2031. In January 2026, the company secured an additional $87 million with efforts to raise a further $250 million for its Series B at a $900 million pre-money valuation. Its Infinity One system is intended to validate its design, with construction beginning in 2026. Infinity Two is intended to produce net power. That machine is designed to cover 14 meters and generate 800 MWt, resulting in 350 MWe. PPPL spinout Thea Energy plans to shape its fields with angled circular coils finetuned with flat magnets. == Concepts ==