particle accelerator

Generating particles

Electrons and protons, the particles most commonly used in accelerators, are found in all materials, but for an accelerator the appropriate particles must be separated out. Electrons are usually produced in exactly the same way as in a television picture tube, in a device known as an electron “gun.” The gun contains a cathode (negative electrode) in a vacuum, which is heated so that electrons break away from the atoms in the cathode material. The emitted electrons, which are negatively charged, are attracted toward an anode (positive electrode), where they pass through a hole. The gun itself is in effect a simple accelerator, because the electrons move through an electric field, as described below. The voltage between the cathode and the anode in an electron gun is typically 50,000–150,000 volts, or 50–150 kilovolts (kV).

As with electrons, there are protons in all materials, but only the nuclei of hydrogen atoms consist of single protons, so hydrogen gas is the source of particles for proton accelerators. In this case the gas is ionized—the electrons and protons are separated in an electric field—and the protons escape through a hole. In large high-energy particle accelerators, protons are often produced initially in the form of negative hydrogen ions. These are hydrogen atoms with an extra electron, which are also formed when the gas, originally in the form of molecules of two atoms, is ionized. Negative hydrogen ions prove easier to handle in the initial stages of large accelerators. They are later passed through thin foils to strip off the electrons before the protons move to the final stage of acceleration.

Accelerating particles

The key feature of any particle accelerator is the accelerating electric field. The simplest example is a uniform static field between positive and negative electric potentials (voltages), much like the field that exists between the terminals of an electric battery. In such a field an electron, bearing a negative charge, feels a force that directs it toward the positive potential (akin to the positive terminal of the battery). This force accelerates the electron, and if there is nothing to impede the electron, its velocity and its energy will increase. Electrons moving toward a positive potential along a wire or even in air will collide with atoms and lose energy, but if the electrons pass through a vacuum, they will accelerate as they move toward the positive potential.

The difference in electric potential between the position where the electron begins moving through the field and the place where it leaves the field determines the energy that the electron acquires. The energy an electron gains in traveling through a potential difference of 1 volt is known as 1 electron volt (eV). This is a tiny amount of energy, equivalent to 1.6 × 10⁻¹⁹ joule. A flying mosquito has about a trillion times this energy. However, in a television tube, electrons are accelerated through more than 10,000 volts, giving them energies above 10,000 eV, or 10 kiloelectron volts (keV). Many particle accelerators reach much higher energies, measured in megaelectron volts (MeV, or million eV), gigaelectron volts (GeV, or billion eV), or teraelectron volts (TeV, or trillion eV).

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Some of the earliest designs for particle accelerators, such as the voltage multiplier and the Van de Graaff generator, used constant electric fields created by potentials up to a million volts. It is not easy to work with such high voltages, however. A more-practical alternative is to make repeated use of weaker electric fields set up by lower voltages. This is the principle involved in two common categories of modern particle accelerators—linear accelerators (or linacs) and cyclic accelerators (principally the cyclotron and the synchrotron). In a linear accelerator the particles pass once through a sequence of accelerating fields, whereas in a cyclic machine they are guided on a circular path many times through the same relatively small electric fields. In both cases the final energy of the particles depends on the cumulative effect of the fields, so that many small “pushes” add together to give the combined effect of one big “push.”

The repetitive structure of a linear accelerator naturally suggests the use of alternating rather than constant voltages to create the electric fields. A positively charged particle accelerated toward a negative potential, for example, will receive a renewed push if the potential becomes positive as the particle passes by. In practice the voltages must change very rapidly. For example, at an energy of 1 MeV a proton is already traveling at very high speeds—46 percent of the speed of light—so that it covers a distance of about 1.4 metres (4.6 feet) in 0.01 microsecond. (One microsecond is a millionth of a second.) This implies that in a repeated structure several metres long, the electric fields must alternate—that is, change direction—at a frequency of at least 100 million cycles per second, or 100 megahertz (MHz). Both linear and cyclic accelerators generally accelerate particles by using the alternating electric fields present in electromagnetic waves, typically at frequencies from 100 to 3,000 MHz—that is, ranging from radiowaves to microwaves.

An electromagnetic wave is in effect a combination of oscillating electric and magnetic fields vibrating at right angles to each other. The key with a particle accelerator is to set up the wave so that, when the particles arrive, the electric field is in the direction needed to accelerate the particles. This can be done with a standing wave—a combination of waves moving in opposite directions in an enclosed space, rather like sound waves vibrating in an organ pipe. Alternatively, for very fast-moving electrons, which travel very close to the speed of light (in other words, close to the speed of the wave itself), a traveling wave can be used for acceleration.

An important effect that comes into play in acceleration in an alternating electric field is that of “phase stability.” In one cycle of its oscillation, an alternating field passes from zero through a maximum value to zero again and then falls to a minimum before rising back to zero. This means that the field passes twice through the value appropriate for acceleration—for example, during the rise and fall through the maximum. If a particle whose velocity is increasing arrives too soon as the field rises, it will not experience as high a field as it should and so will not receive as big a push. However, when it reaches the next region of accelerating fields, it will arrive late and so will receive a higher field—in other words, too big a push. The net effect will be phase stability—that is, the particle will be kept in phase with the field in each accelerating region. Another effect will be a grouping of the particles in time, so that they will form a train of bunches rather than a continuous beam of particles.

Guiding particles

Magnetic fields also play an important role in particle accelerators, as they can change the direction of charged particles. This means that they can be used to “bend” particle beams around a circular path so that they pass repeatedly through the same accelerating regions. In the simplest case a charged particle moving in a direction at right angles to the direction of a uniform magnetic field feels a force at right angles both to the particle’s direction and to the field. The effect of this force is to make the particle move on a circular path, perpendicular to the field, until it leaves the region of magnetic force or another force acts upon it. This effect comes into play in cyclic accelerators such as cyclotrons and synchrotrons. In the cyclotron a large magnet is used to provide a constant field in which the particles spiral outward as they are fed energy and thereby accelerate on each circuit. In a synchrotron, by contrast, the particles move around a ring of constant radius, while the field generated by electromagnets around the ring is increased as the particles accelerate. The magnets with this “bending” function are dipoles—magnets with two poles, north and south, built with a C-shaped profile so that the particle beam can pass between the two poles.

A second important function of electromagnets in particle accelerators is to focus the particle beams in order to keep them as narrow and intense as possible. The simplest form of focusing magnet is a quadrupole, a magnet built with four poles (two norths and two souths) arranged opposite each other. This arrangement pushes particles toward the centre in one direction but allows them to spread in the perpendicular direction. A quadrupole designed to focus a beam horizontally, therefore, will let the beam go out of focus vertically. In order to provide proper focusing, quadrupole magnets must be used in pairs, each member arranged to have the opposite effect. More-complex magnets with larger numbers of poles—sextupoles and octupoles—are also used for more-sophisticated focusing.

As the energy of the circulating particles increases, the strength of the magnetic field guiding them is increased, which thus keeps the particles on the same path. A “pulse” of particles is injected into the ring and accelerated to the desired energy before it is extracted and delivered to experiments. Extraction is usually achieved by “kicker” magnets, electromagnets that switch on just long enough to “kick” the particles out of the synchrotron ring and along a beam line. The fields in the dipole magnets are then ramped down, and the machine is ready to receive its next pulse of particles.

Colliding particles

Most of the particle accelerators used in medicine and industry produce a beam of particles for a specific purpose—for example, for radiation therapy or ion implantation. This means that the particles are used once and then discarded. For many years the same was true for accelerators used in particle physics research. However, in the 1970s rings were developed in which two beams of particles circulate in opposite directions and collide on each circuit of the machine. A major advantage of such machines is that when two beams collide head-on, the energy of the particles goes directly into the energy of the interactions between them. This contrasts with what happens when an energetic beam collides with material at rest: in this case much of the energy is lost in setting the target material in motion, in accord with the principle of conservation of momentum.

Some colliding-beam machines have been built with two rings that cross at two or more positions, with beams of the same kind circulating in opposite directions. More common yet have been particle-antiparticle colliders. An antiparticle has opposite electric charge to its related particle. For example, an antielectron (or positron) has positive charge, while the electron has negative charge. This means that an electric field that accelerates an electron will decelerate a positron moving in the same direction as the electron. But if the positron is traveling through the field in the opposite direction, it will feel an opposite force and will be accelerated. Similarly, an electron moving though a magnetic field will be bent in one direction—left, say—while a positron moving the same way will be bent in the opposite direction—to the right. If, however, the positron moves through the magnetic field in the opposite direction to the electron, its path will still bend to the right, but along the same curve taken by the leftward-bending electron. Taken together, these effects mean that an antielectron can travel around a synchrotron ring guided by the same magnets and accelerated by the same electric fields that affect an electron traveling the opposite way. Many of the highest-energy colliding-beam machines have been particle-antiparticle colliders, as only one accelerator ring is needed.

As is pointed out above, the beam in a synchrotron is not a continuous stream of particles but is clustered into “bunches.” A bunch may be a few centimetres long and a tenth of a millimetre across, and it may contain about 10¹² particles—the actual numbers depending on the specific machine. However, this is not very dense; normal matter of similar dimensions contains about 10²³ atoms. So when particle beams—or, more accurately, particle bunches—cross in a colliding-beam machine, there is only a small chance that two particles will interact. In practice the bunches can continue around the ring and intersect again. To enable this repeated beam crossing, the vacuum in the rings of colliding-beam machines must be particularly good so that the particles can circulate for many hours without being lost through collisions with residual air molecules. The rings are therefore also referred to as storage rings, as the particle beams are in effect stored within them for several hours.

Detecting particles

Most uses of the beams from particle accelerators require some way of detecting what happens when the particles strike a target or another particle beam traveling in the opposite direction. In a television picture tube, the electrons shot from the electron gun strike special phosphors on the inside surface of the screen, and these emit light, which thereby re-creates the televised images. With particle accelerators similarly specialized detectors respond to scattered particles, but these detectors are usually designed to create electrical signals that can be transformed into computer data and analyzed by computer programs. Only electrically charged particles create electrical signals as they move through a material—for example, by exciting or ionizing the atoms—and can be detected directly. Neutral particles, such as neutrons or photons, must be detected indirectly through the behaviour of charged particles that they themselves set in motion.

There are a great variety of particle detectors, many of which are most useful in specific circumstances. Some, such as the familiar Geiger counter, simply count particles, whereas others are used, for example, to record the tracks of charged particles or to measure the velocity of a particle or the amount of energy it carries. Modern detectors vary in size and technology from small charge-coupled devices (CCDs) to large gas-filled chambers threaded with wires that sense the ionized trails created by charged particles.