For a solid, this is tens of thousands of electrons/ions per cm, but that kind of depends on the material.....

I think your amount is way to small... only thosands when dealing with a solid 1 cm square: even the least dense item there is at is at 1 proton for 0.00000000000000085 meter, even with a thosand times the space between protons would be way different.

a centimer is 1/100 of a meter which for our purposes is a yard.
so 0.000000000000001 of a centimeter
if the space between protons is 10,000 times because of electrons orbital paths.
that would be 0000000001 space taken up by a proton. 10s of thosands
even a smooth 100,000 would leave line of protons at a .00001 of a centimeter.... the number should be at least 1 billion protons correct?