...Huh?
Well...
Why would you expect that there would be a difference?
How do you expect to prove (p < 0.05) that the effect is of the claimed magnitude, or indeed, measurable at all, under any circumstances?
How can you prove that it isn't due to other effects, like power supply noise, or noise coupled into the signal cables, or... dust attracted to the enclosure by the high voltage?
A parts-per-trillion change is manifestly meaningless for the noise level of the type of oscillator used, so even if you can prove the hypothesis, and disprove possible alternative ones, what use could it possibly have?
At this level, the design of your experiment is almost irrelevant, while the design of your methodology is absolutely critical.
Tim