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Lz = miħ, S² = s(s+ 1)h² = m₁0, 11, 12,..., ±l h², 3 Consider an excited electron (n > 1) on an H-atom. S₂ = mgh = ±=ħ What is the minimum angle 03min that the S can have with the z-axis? Clue: the angle a vector with magnitude V from the z-axis can be computed from COS A = V² (V

Lz = miħ, S² = s(s+ 1)h² = m₁0, 11, 12,..., ±l h², 3 Consider an excited electron (n > 1) on an H-atom. S₂ = mgh = ±=ħ What is the minimum angle 03min that the S can have with the z-axis? Clue: the angle a vector with magnitude V from the z-axis can be computed from COS A = V² (V

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Angular momentum and Spin. An electron in an H-atom has orbital angular momentum magnitude and z-component given by L² = 1(1+1)ħ², L₂ = m₂h, 1 = 0,1,2,..., n-1 m₁ = 0, +1, +2, ..., ±l 3 1 S² = s(s+1)h²=h², S₂ = m₂h = + = h +/-ħ 4 Consider an excited electron (n > 1) on an H-atom. What is the minimum angle 0min that the S can have with the z-axis? Clue: the angle a vector with magnitude V from the z-axis can be computed from cos 0 = V²/V
Transcribed Image Text:Angular momentum and Spin. An electron in an H-atom has orbital angular momentum magnitude and z-component given by L² = 1(1+1)ħ², L₂ = m₂h, 1 = 0,1,2,..., n-1 m₁ = 0, +1, +2, ..., ±l 3 1 S² = s(s+1)h²=h², S₂ = m₂h = + = h +/-ħ 4 Consider an excited electron (n > 1) on an H-atom. What is the minimum angle 0min that the S can have with the z-axis? Clue: the angle a vector with magnitude V from the z-axis can be computed from cos 0 = V²/V
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