Odd Parity of States: 2p m=0, 2p m=1, 26f m=0, 2s

[Mattofix]

Homework Statement

Which of the following states have odd parity?

a. 2p m=0
b. 2p m=1
c. 26f m=0
d. 2s

The Attempt at a Solution

Knowing the wavefunctions for a,b, and d, i think that all of them have odd parity. What about the 26f m=0 state?

 

[gabbagabbahey]

I'd recommend you write down the values of $n$, $m$ and $\ell$ for each of those orbitals, and then use those to deduce the form of each wavefunction, and then see what happens to each one under the parity transformation.

$$\psi_{n\ell m}(r,\vartheta,\varphi) \propto e^{- \rho / 2} \rho^{\ell} L_{n-\ell-1}^{2\ell+1}(\rho) \cdot Y_{\ell}^{m}(\vartheta, \varphi )$$