This has been happening quite a bit lately.I just spent quite some time composing further explanation so I was pretty peeved that the site just ate my reply.
I will have another go later.
The simple answer is that in quantum mechanics things like energy and angular momentum are constrained to have discrete values. When those discrete values are assigned to an electron it's statistics imply a high probability of being where it is supposed to be. The dumbell shape is just the set of points where the electron is likely to be. In order for it to be somewhere else it must change it's quantum numbers or it must be an extremely unlikely event.i have a question that why we said that s orbital have spherical while p orbital have dumb bell shape?
So it's actually a "smartbell" shape.The simple answer is that in quantum mechanics things like energy and angular momentum are constrained to have discrete values. When thos discrete values are assigne to an electron it's statistics imply a high probability of being where it is supposed to be. The dumbell shape is just the set of points where the electron is likely to be. In order for it to be somewhere else it must change it's quantum numbers or it must be an extremely unlikely event.
by Jake Hertz
by Jake Hertz
by Jake Hertz