The first ionization energies of oxygen, nitrogen etc are all > 10 eV [1]. If you accelerate an electron over 35 nm with a 1 V electric field, it picks up 35e-9 eV. So it can't ionize anything, even if it happens to collide with a molecule, which is unlikely [2].
Correcting myself: if you accelerate an electron through a potential difference of 1 V, it picks up 1 eV and nothing else. While the conclusion stands (it can't ionize anything),
I plead temporary insanity for the way I arrived at it.
[1] http://www-personal.umich.edu/~cowley/ionen.htm
[2] https://en.wikipedia.org/wiki/Mean_free_path