Cyclotron Angular Frequency Calculator

The cyclotron principle, a fundamental aspect of particle physics, revolves around the concept of cyclotron angular frequency. Cyclotrons are devices that accelerate charged particles using a high-frequency, alternating voltage. A vital parameter in the operation of a cyclotron is the cyclotron angular frequency, which relates the charge and mass of the particles to the magnetic flux density of the cyclotron. In this article, we'll dive into the calculations and formulas associated with cyclotron angular frequency.

Cyclotron Angular Frequency Calculator
Cyclotron Angular Frequency Calculator Results
Cyclotron Angular Frequency = rad/s

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Example Formula

The formula used to calculate the cyclotron angular frequency is given by:

ω = (q × B) / m


  1. ω: cyclotron angular frequency (rad/s)
  2. q: charge of the particle (Coulombs)
  3. B: magnetic flux density (Tesla)
  4. m: mass of the particle (kg)

Who wrote/refined the formula

The concept of cyclotron and the related formula for calculating cyclotron angular frequency was proposed by Ernest O. Lawrence in 1932. This principle is not only relevant to the field of particle physics but also finds application in the area of medical imaging technologies and nuclear medicine.

Real Life Application

A significant real-life application of cyclotrons and the cyclotron angular frequency calculation is in the production of radioisotopes for medical imaging, such as in Positron Emission Tomography (PET) scans. Understanding the cyclotron frequency allows for precise control of the cyclotron, enabling the production of specific isotopes.

Key individuals in the discipline

Ernest O. Lawrence (1901-1958), an American nuclear physicist, invented the cyclotron, a significant development in particle physics. For this invention, he received the Nobel Prize in Physics in 1939. His work laid the foundation for high-energy physics and influenced the development of medical imaging technology.

Interesting Facts

  • Cyclotrons, leveraging the concept of cyclotron angular frequency, are at the heart of many particle accelerator laboratories around the world, pushing the boundaries of our understanding of the universe.
  • The development of cyclotrons has transformed nuclear medicine, enabling non-invasive imaging techniques that revolutionize diagnosis and treatment of diseases.
  • The understanding of cyclotron angular frequency has significantly influenced the development of high-energy physics, contributing to discoveries about the fundamental nature of matter and the universe.


Understanding cyclotron angular frequency is crucial for particle physics and related fields. As we continue to push the boundaries of our understanding of the universe and improve medical imaging technology, the role of cyclotron angular frequency and cyclotrons will continue to grow. This concept serves as an excellent example of how fundamental physics can have far-reaching implications and transformative effects on our lives and understanding of the universe.

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