From Schrodinger wave equation, probability functions for electrons orbits about nuclei can be developed. These are electron shells called probability densities or orbitals, clouds of probability as to where the electron might be or where it is forbidden to be. This is demonstrated in the above illustration, which shows the 2Px orbital and a probability wave corresponding to ian electrons likelihood of being found at some x-position. However, these are not hard shells, but rather soft shells of where a electron is eighty or ninety percent likely to be.
Among the thought-provoking implications this brings is the possibility, however unlikely, that some given electron orbiting some given nucleus -- say one in the eye you are using to read this -- is some great distance away: the other side of the Planet, the outer edges of our solar system, some distant spiral arm of the Milky Way Galaxy...http://online.redwoods.cc.ca.us/depts/science/chem/storage/Schrod/page3.htm