The high-frequency, electrodeless, breakdown voltage of a gas is reduced during the period immediately following a discharge. The variation of this reduction with afterglow duration has been measured. Discharges were produced with a capacitatively coupled 15 MHz transmitter, in hydrogen, neon and nitrogen gases in the pressure range 0·8-6 mm Hg, and with afterglow durations in the range 2-140 ms.The results in Ne and N2 are shown to be consistent with the slow reduction in the densities of metastable molecules in the afterglow, brought about by their diffusion to the walls of the discharge tube and subsequent deactivation. In N2, it is further argued that metastable molecules are created in the afterglow by nitrogen atom recombination. This view is supported by the observation of the decay of the intensity of visible radiation in the afterglow.From the time and pressure dependence of the reductions in breakdown field, the diffusion coefficients of metastable Ne atoms in Ne and metastable N2 molecules in N2 were found to be 159±13 cm2 s−1 and 71·3±5·9 cm2 s−1 at 1 mm Hg respectively.No reductions in breakdown field beyond those expected from variations in electron diffusion coefficients were observed in hydrogen, owing to the absence of any sufficiently long-lived metastable hydrogen molecules.Finally, the ratio of the rate of ionization per electron for electron ionizing collisions with excited atoms and molecules to that with atoms and molecules in their ground state has been deduced, and is shown to be greater than unity for short afterglow times.