# Radial wave-functions and spherical harmonics of p-orbitals in a certain hypothesis

I know that the s-orbitals of H atom are spherically symmetrical. But the p,d or f orbitals aren't. So, the H-atom needn't necessarily be spherically symmetrical, as the wave-function would be a linear combination of all the orbitals. But, in a certain hypothesis, if I assume the H-atom to be spherically symmetrical, what could I possibly comment on the specific orientations of $$p_{x}$$, $$p_{y}$$ and $$p_{z}$$ orbitals in space? The radial and angular wave-functions might/mightn't change for the p-orbitals, but how to comment on their spatial orientations? Can someone help me out in this?

• Why take care of the $p$ orbitals of the hydrogen atoms ? It is like its $d$ and $f$ orbitals. They are empty. So why discuss about their spatial orientation and of their linear combinations ? Feb 2 at 20:48
• Okay, but what about the excited states? Is it unnecessary altogether to look at $p$ or $d$ orbitals, or even $f$ orbitals in H atom? Feb 17 at 6:28
• Why take care of the excited states of the H atom in chemistry ? They last less than a nanosecond. Feb 17 at 9:05