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What is the formula for magnetic moments for spin and orbital angular momenta?

Accepted Answer

The formula for magnetic moments considering both spin and orbital angular momenta is:
μ = g√(S(S+1) + L(L+1))μB
Where:

μ is the magnetic moment
g is the Landé g-factor (accounts for the coupling of spin and orbital angular momenta)
S is the total spin angular momentum quantum number
L is the total orbital angular momentum quantum number
μB is the Bohr magneton (a fundamental unit of magnetic moment)

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