Please note that, for future reference, the field of accelerator physics is more of a classical physics topic than anything else. It is not night energy physics, and it isn't a quantum physics topic. One deals more in classical E&M than any other topic.
Secondly ,atoms do not fade on and out of our dimensions.
Thirdly, if you cannot get ahold of a simple CRT tube to use as your "particle accelerator" there is a very good chance that you will have even more trouble acquiring metallic vacuum systems and the appropriate vacuum pumps to construct an accelerator. I strongly suggest you do a search of PF first and see what had already been discussed.