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

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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 µ orb , z θ − 3 − 3¯ h +3 µ B 150 . ◦ − 2 − 2¯ h +2 µ B 125 ◦ − 1 − ¯ h + µ B 107 ◦ 90 . ◦ 1 +¯ h − µ B 73 . 2 ◦ 2 2¯ h − 2 µ B 54 . 7 ◦ 3 3¯ h − 3 µ B 30 . ◦...
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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