p41_011 - ` = 3, the magnetic quantum number m ` can take...

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11. (a) For ` = 3, the magnitude of the orbital angular momentum is L = p ` ( ` +1)¯ h = p 3(3 + 1)¯ h = 12¯ h . (b) The magnitude of the orbital dipole moment is µ orb = p ` ( ` +1) µ B = 12 µ B . (c) We use L z = m ` ¯ h to calculate the z component of the orbital angular momentum, µ z = m ` µ B to calculate the z component of the orbital magnetic dipole moment, and cos θ = m ` / p ` ( ` +1) to calculate the angle between the orbital angular momentum vector and the z axis. For
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Unformatted text preview: ` = 3, the magnetic quantum number m ` can take on the values 3, 2, 1, 0, +1, +2, +3. Results are tabulated below. m ` L z orb , z 3 3 h +3 B 150 . 2 2 h +2 B 125 1 h + B 107 90 . 1 + h B 73 . 2 2 2 h 2 B 54 . 7 3 3 h 3 B 30 ....
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