This example shows an implementation of a Colpitts oscillator circuit with a nominal frequency of 9MHz. The frequency of oscillation is given by 1/(2*pi*sqrt(L1*C1*C2/(C1+C2))). LC oscillators have good frequency selectivity due to higher Q levels than are achievable with RC oscillators.
The plots below show the output voltage of the LC oscillator based on Colpitts circuit. The lower plot shows the voltage over 1 microsecond so that we can determine the frequency (around 9 MHz).