• (David?)

# Finding the correct frequency

In order to start looking for the optimum millimeter/microwave frequency, the variables below are important to know. Note that here the frequencies are given in GHz, as the frequency for 5 T fields will always be around 140 GHz.

• Electron Gyromagnetic Ratio: $\frac{\gamma_e}{2\pi}=28.024~951~6~\mathrm{GHz/T}$
• Proton Gyromagnetic Ratio: $\frac{\gamma_p}{2\pi}=0.042~577~478~92~\mathrm{GHz/T}$
• Deuteron Gyromagnetic Ratio: $\frac{\gamma_D}{2\pi}=0.006~535~902~311~\mathrm{GHz/T}$

In order to find both the ideal mm-wave and NMR frequencies, some combination of the above numbers are multiplied by the magnetic field strength $B$ in T. This gives the particle's Larmor frequency, $\nu_i = \frac{\gamma_i}{2\pi}B$, that is used in the descriptions below.