Cyclotron Frequency: Is it Truly Independent of Energy and Mass?

In summary, cyclotrons utilize the principle that the cyclotron frequency is independent of energy. This allows for easy acceleration of electrons to relativistic speeds, requiring a change in frequency to compensate for the increasing relativistic mass. While some sources may still use the incorrect term of "relativistic mass," the correct concept is that gamma increases, not the mass.
  • #1
zeynep altay
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0
Do cyclotrons make use of the principle that the cyclotron frequency is independent of energy?
 
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  • #2
Hello zeynep, :welcome:

Short question, short answer ?

Yes
 
  • #3
zeynep altay said:
Do cyclotrons make use of the principle that the cyclotron frequency is independent of energy?
Just to keep things going: It is relatively easy to make electrons travel at relativistic speeds and that requires the driving frequency to be varied to compensate for the changing relativistic mass. See Synchrocyclotron.
 
  • #4
relativistic mass?
 
  • #5
Meir Achuz said:
relativistic mass?
Not the current word (slip of the keyboard) but the mass that needs to be made to orbit increases and the frequency needs to be changed. A change of terms didn't change the requirement for a synchrocyclotron.
 
  • #6
mass that needs to be made to orbit increases?
p=mv gamma. Gamma increases, not the mass.
 
  • #7
Meir Achuz said:
mass that needs to be made to orbit increases?
p=mv gamma. Gamma increases, not the mass.
Yes. That is the better informed way to say it but this and many other sources still use the wrong term but get the right answer. I will try to bring myself into the twenty first century.
 

What is a cyclotron?

A cyclotron is a type of particle accelerator that uses a combination of electric and magnetic fields to accelerate charged particles to high speeds.

How does a cyclotron work?

A cyclotron works by using a high-frequency alternating electric field to accelerate charged particles (usually protons or electrons) towards the center of a circular chamber. As the particles move towards the center, they are also subjected to a perpendicular magnetic field, causing them to follow a curved path. This process repeats, with the particles gaining speed with each revolution, until they reach the desired energy level.

What is the purpose of a cyclotron?

The main purpose of a cyclotron is to accelerate particles for use in various research and medical applications. This includes producing medical isotopes for imaging and cancer treatment, conducting particle physics experiments, and creating new materials through particle irradiation.

What are the advantages of a cyclotron?

One of the main advantages of a cyclotron is its ability to produce particles with very high energies (up to several million electron volts). It is also a relatively compact and cost-effective accelerator compared to other types. Additionally, cyclotrons can produce a continuous beam of particles, making them ideal for medical and industrial applications.

What are the limitations of a cyclotron?

One limitation of a cyclotron is that it can only accelerate particles up to a certain energy level, after which the particles will begin to lose energy due to radiation. It also requires a significant amount of energy to operate, and the production of high-powered magnets for the magnetic field can be expensive. Additionally, cyclotrons have a limited range of applications compared to other types of accelerators.

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