Cyclotron Frequency Calculator

Your details

Select a preset to auto-fill charge and mass, or choose Custom to enter your own values.
The electric charge of the particle (magnitude). Preset values are filled automatically.
nC
The strength of the uniform magnetic field in which the particle orbits.
T
Rest mass of the particle. For most sub-atomic particles use atomic mass units (u).
u
Cyclotron frequency (f)THz range (extreme field)
15,245,186,407.0594

Number of complete orbits per second (non-relativistic)

Angular frequency (omega)95,788,331,238,049,540rad/s
Orbital period (T)0ns
Frequency in Hz15,245,186,407,059,394Hz
15,245,186,407,059,394 Hz
Sub-kHz<1000kHz1000-1000000MHz (RF)1000000-100000000High-freq100000000-500000000Near-GHz500000000+

Cyclotron frequency: 15245186407.0594 MHz

  • The cyclotron frequency exceeds 1 GHz. At such high fields, relativistic corrections become significant and a synchrotron design is typically preferred.
  • Angular frequency: 9.579e+16 rad/s. This equals 2*pi times the cyclotron frequency.
  • Orbital period: 0.000 ns. Each orbit takes this long regardless of particle speed (within the non-relativistic limit).
  • Protons are the most common particles accelerated in medical cyclotrons for PET isotope production.

Next stepRelativistic effects become significant when the particle kinetic energy approaches its rest-mass energy (E = mc2). For protons that threshold is about 938 MeV; below 50 MeV the non-relativistic formula is accurate to better than 5%.

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