- #1

- 46

- 0

**Problem:**

A hydroxyl radical in the gas phase is found to be in a rotational state with the wavefunction given, it's a long wavefunction so I'm not going to post unless needed.

a) Calculate the expected value of L

_{z}for this radical in SI units.

I think L

_{z}=m

_{l}ħ is important for this but where does the given psi function come into play? I doubt it is extraneous information.

**Information:**

ħ = h/2[tex]\pi[/tex]

[tex]h\ =\ 6.62606876(52)\ \times\ 10^{-34}\ J\ s[/tex]

m

_{l}= -l, -l+1, -l+2, ... l-2, l-1, l

My problem: Unsure how to find the proper orbitals associated with OH radical. The hydrogen is 1s

^{1}and the oxygen is 1s

^{2}2s

^{2}2p

^{4}.

b) Is the angular momentum vector parallel, perpendicular, or at an angle from the z-axis.

I'll attempt a solution if someone can point me in the right direction, thank you.