How the cyclotron works Diagram of cyclotron operation from Lawrence's 1934 patent.
In the cyclotron, a high-frequency
alternating voltage applied across the "D" electrodes (also called "dees") alternately attracts and repels
charged particles. The particles, injected near the center of the magnetic field,
accelerate only when passing through the gap between the electrodes. The perpendicular
magnetic field (passing vertically through the "D" electrodes), combined with the increasing energy of the particles forces the particles to travel in a spiral path.
With no change in energy the charged particles in a magnetic field will follow a circular path. In the Cyclotron, energy is applied to the particles as they cross the gap between the dees and so they are accelerated (at the typical sub-relativistic speeds used) and will increase in mass as they approach the speed of light. Either of these effects (increased velocity or increased mass) will increase the radius of the circle and so the path will be a spiral.
(The particles move in a spiral, because a
current of electrons or ions, flowing perpendicular to a magnetic field,
experiences a perpendicular force. The charged particles move freely in a vacuum, so the particles follow a spiral path.)
The radius will increase until the particles hit a target at the perimeter of the vacuum chamber. Various materials may be used for the target, and the collisions will create secondary particles which may be guided outside of the cyclotron and into instruments for analysis. The results will enable the calculation of various properties, such as the mean spacing between atoms and the creation of various collision products. Subsequent chemical and particle analysis of the target material may give insight into nuclear transmutation of the elements used in the target.
[edit] Uses of the cyclotron
For several decades, cyclotrons were the best source of high-energy beams for
nuclear physics experiments; several cyclotrons are still in use for this type of research.
Cyclotrons can be used to treat
cancer. Ion beams from cyclotrons can be used, as in
proton therapy, to penetrate the body and kill tumors by
radiation damage, while minimizing damage to healthy tissue along their path.
Cyclotron beams can be used to bombard other atoms to produce short-lived
positron-emitting isotopes suitable for
PET imaging.
[edit] Problems solved by the cyclotron
60-inch cyclotron, circa 1939, showing a beam of accelerated ions (likely protons or deuterons) escaping the accelerator and ionizing the surrounding air causing a blue glow. This phenomenon of air ionization is analogous to the one responsible for producing the "blue flash" infamously noted by witnesses of
criticality accidents. Though the effect is often mistaken for
Cherenkov radiation, this is not the case.
The cyclotron was an improvement over the
linear accelerators that were available when it was invented. A linear accelerator (also called a linac) accelerates particles in a straight line through an evacuated tube (or series of such tubes placed end to end). A set of electrodes shaped like flat donuts are arranged inside the length of the tube(s). These are driven by high-power radio waves that continuously switch between positive and negative voltage, causing particles traveling along the center of the tube to accelerate. In the 1920's, it was not possible to get high frequency radio waves at high power, so either the accelerating electrodes had to be far apart to accommodate the low frequency or more stages were required to compensate for the low power at each stage. Either way, higher-energy particles required longer accelerators than scientists could afford.
Modern linacs use high power
Klystrons and other devices able to impart much more power at higher frequencies. But before these devices existed, cyclotrons were cheaper than linacs.
Cyclotrons accelerate particles in a spiral path. Therefore, a compact accelerator can contain much more distance than a linear accelerator, with more opportunities to accelerate the particles.
[edit] Advantages of the cyclotron
- Cyclotrons have a single electrical driver, which saves both money and power, since more expense may be allocated to increasing efficiency.
- Cyclotrons produce a continuous stream of particles at the target, so the average power is relatively high.
- The compactness of the device reduces other costs, such as its foundations, radiation shielding, and the enclosing building.
[edit] Limitations of the cyclotron
The magnet portion of a large cyclotron. The gray object is the upper pole piece, routing the magnetic field in two loops through a similar part below. The white canisters held conductive coils to generate the magnetic field. The D electrodes are contained in a vacuum chamber that was inserted in the central field gap.
The
spiral path of the cyclotron beam can only "synch up" with klystron-type (constant frequency) voltage sources if the accelerated particles are approximately obeying
Newton's Laws of Motion. If the particles become fast enough that
relativistic effects become important, the beam gets out of phase with the oscillating electric field, and cannot receive any additional acceleration. The cyclotron is therefore only capable of accelerating particles up to a few percent of the speed of light. To accommodate increased mass the magnetic field may be modified by appropriately shaping the pole pieces as in the
isochronous cyclotrons, operating in a pulsed mode and changing the frequency applied to the dees as in the
synchrocyclotrons, either of which is limited by the diminishing cost effectiveness of making larger machines. Cost limitations have been overcome by employing the more complex
synchrotron or
linear accelerator, both of which have the advantage of scalability, offering more power within an improved cost structure as the machines are made larger.