Frequently Asked QuestionsThe following are questions submitted to us. Helen Quinn, content provider for this web site, offers answers to the questions.
FAQ3: How does a cyclotron work?First you have to understand two basic points about electric and magnetic fields and their effects on charged particles.
Now how can we use these two facts to design an accelerator --a cyclotron is one example. We make the region of magnetic field by having a pair of large flat magnets, one above the other, with opposite poles facing, so there is magnetic field pointing down from the upper magnet towards the lower one. We arrange two such regions, each one D-shaped (when looked at from above) with the straight sides of the two D's facing one another (i.e. one D is backwards). Now we have a place where a moving electric charge (or rather a bunch of such charges) goes around half a circle in one D, then goes straight ahead till it reaches the other D, and makes another semicircle in that one, and so on. So now what we have to do is arrange to have an electric field turn on in the right direction (and at the right time) to give the charges a bit of a push each time they cross the gap between the two D's. You can see that the electric field has to reverse its direction while the charge is going around the semicircle inside the D, so that when the charges cross the gap again in the opposite direction they are again accelerated a little. You also need to build a chamber that you can evacuate to very low air pressure in the entire region where your charged particles are traveling -- between the two pairs of D-shaped magnets and in the gap between them. This is because you will keep losing your accelerated particles if they collide with air molecules, so you want as little air (or anything else) as possible inside your accelerator. Because the particle is speeding up each time it crosses from one D to the other it travels in a spiral path with increasing radius. So the limit on what energy you can get with such a machine is given by the size of the D-shaped magnets, and the vacuum-chamber between them. This limitation makes it very expensive to build a high energy cyclotron and so modern high energy circular accelerators are built using a different design, known as a synchrotron. The basic physics principle is the same, you use magnet to make the particle go in a circle, and regions with electric field in them (usually radio frequency or microwave cavities) to accelerate the particles. You make the vacuum chamber a tube that goes in a circle. Then you must adjust the magnet strength (these are electromagnets) as the particles speed up to keep the same radius for their circular path. There is a limited range of energy over which this can be achieved, so if you look for example at the Fermilab accelerator (see www.fnal.gov) you can see they have a series of rings of increasing radius and then feed the particles from a smaller ring to a larger one once they reach the highest energy that can be made to circulate in the small ring. |
