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If an atom described by spin-orbit coupling is in a 4P state, why is the spin quantum number s=3/2?

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If an atom described by spin-orbit coupling is in a 4P state, why is the spin quantum number s=3/2?

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DrClaude

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I guess you mean ^{4}P. How is a term symbol built up?

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DrClaude

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So the angular momentum quantum number is l=1 as it's a P state? How is the value of s determined?

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DrClaude

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The exponent is 2S+1, so for a quadruplet, 2S+1 = 4 means S=3/2.So the angular momentum quantum number is l=1 as it's a P state? How is the value of s determined?

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DrClaude

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It's a legacy from the earlier days of atomic physics. It follows the same nomenclature as orbitals: s, p, d, f, etc., but with uppercase letters (just as the total orbital angular momentum is L, instead of l for the orbital angular momentum of a single electron).

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