Determine the total angular momentum quantum number if the minimum angle between the total angular momentum vector (in a single electron atom) and the z axis is 28.13°.
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Expert's answer
2020-05-28T12:01:29-0400
The minimum angle between the total angular momentum vector (in a single electron atom) and the z axis is
cosθ=l(l+1)(2πh)l(2πh)
cos28.13°=l(l+1)(2πh)l(2πh)
cos28.13°=l(l+1)l
0.88=l(l+1)l
on solving the above equation, we get l=3.43=3(Approximately)
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