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## Main Question or Discussion Point

**A hydroxyl radical (O-H*) in the gas phase is found to be in a rotational state with a given wavefunction (Long wavefunction, not needed for my questions).**

Calculate the expected value of L

Calculate the expected value of L

_{z}(angular momentum in z) for the radical.*Is this the right equation?*

L

_{z}=m

_{l}ħ ????

*In which orbital is the radical? How do I figure this out?*

The orbital of the radical (not sure how to find this) would give me the rotational quantum number (l), thus giving me the spacial orientation quantum number (m

_{l}), with which I could solve for L

_{z}=m

_{l}ħ[/QUOTE] But then why does the problem give a wavefunction?

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

H orbital 1s

^{1}

O orbital 1s

^{2}2s

^{2}2p

^{4}.