Writing Pi Bonds

[TiffanyL1G]

How do you write pi bonds on the molecule? I understand how to identify them, but I don't understand how to write the composition of the bond and the hybridization of a pi bond? For example on problem #95 (in the 6th edition chapter 4), in part b the problems asks that you write the composition of the bond and the hybridization of each lone pair. For the sigma bonds it was like (C2sp2-C2sp2) and then the pi bond was (C2p-C2p). Why is the pi bond just C2p?

[Andrew Sun 1I]

The pi bond is not the entire double bond, just the single bond on top of the preexisting sigma bond. For example, a double bond consists of one sigma bond (C2sp2) and a pi bond (C2p).

[aisteles1G]

From what I understand, its because pi bonds happen outside of the hybridized orbital, they happen in the p orbitals, hence just the 2p instead of 2sp. Pi bonds happen from the electrons left over in the p orbitals after hybridization so youre not going to have them as a part of the hybridized sp orbitals.