Compute the cyclotron angular frequency ω = qB/m of a charged particle in a uniform magnetic field, useful for cyclotrons, plasma physics and particle-motion analysis.
带电粒子在磁场中的回旋角频率。
| Item | Formula / Note | Source / Standard |
|---|---|---|
| Cyclotron frequency | ω_c = qB/m | Classical electromagnetism |
| Non-relativistic | Valid when γ ≈ 1 | Accelerator physics |
| Relativistic form | ω_c = qB/(γm) | Relativistic dynamics |
| Larmor radius | r = mv_⊥/(qB) | Charged particle motion |
| Applications | Cyclotron, mass spec, plasma | Nuclear and plasma |
| Units | f_c = qB/(2πm) Hz | SI units |
Constants used on this page and their authoritative sources, for verification and citation
| Constant | Value | Unit | Source |
|---|---|---|---|
| Elementary charge e | 1.602176634e-19 | C | SI defining constant (exact) |
| Electron rest mass m_e | 9.1093837015e-31 | kg | CODATA 2018 |
| Proton rest mass m_p | 1.67262192369e-27 | kg | CODATA 2018 |
| Planck constant h | 6.62607015e-34 | J·s | SI defining constant (exact) |
Note: ω = qB/m is the non-relativistic cyclotron angular frequency, independent of particle speed; at relativistic speeds use ω = qB/(γm) instead.