Definition:Reduced Gyromagnetic Ratio
Definition
The reduced gyromagnetic ratio of a particle $P$ is its gyromagnetic ratio divided by $2 \pi$.
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Symbol
The symbol for reduced gyromagnetic ratio is usually denoted $\gamma / 2 \pi$, where $\gamma$ itself denotes the gyromagnetic ratio
Dimension
Reduced gyromagnetic ratio has the dimension $\mathsf {I T M^{-1} }$.
Units
The SI unit for reduced gyromagnetic ratio is hertz per tesla: $\mathrm {Hz \, T^{-1} }$
The CGS unit for gyromagnetic ratio is hertz per gauss: $\mathrm {Hz \, Gs^{-1} }$
Conversion Factors
| \(\ds \) | \(\) | \(\ds 1\) | hertz per tesla | |||||||||||
| \(\ds \) | \(=\) | \(\ds 10^4\) | hertz per gauss |
Also see
- Results about reduced gyromagnetic ratio can be found here.
Terminology
The term reduced gyromagnetic ratio was invented by $\mathsf{Pr} \infty \mathsf{fWiki}$ as there appears to be no such term in common use.
As such, it is not generally expected to be seen in this context outside $\mathsf{Pr} \infty \mathsf{fWiki}$.
It is deliberately intended for this naming convention to follow the precedent of:
- the reduced Planck constant, which is Planck's constant divided by $2 \pi$.
- the reduced Compton wavelength, which is the Compton wavelength divided by $2 \pi$.
Sources
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