Question

State the selection rules for allowed transitions in multielectrons atoms

27 Jan 2018
Answer :
Word Count : 475

Electronic spectra

The Laporte rule is a selection rule formally stated as follows: In a centrosymmetric environment, transitions between like atomic orbitals such as s-s,p-p, d-d, or f-f, transitions are forbidden. The Laporte rule applies to electric dipole transitions, so the operator has u symmetry (meaning ungerade, odd).[3] p orbitals also have u symmetry, so the symmetry of the transition moment function is given by the triple product u×u×u, which has u symmetry. The transitions are therefore forbidden. Likewise, d orbitals have g symmetry (meaning gerade, even), so the triple product g×u×g also has u symmetry and the transition is forbidden

The wave function of a single electron is the product of a space-dependent wave function and a spin wave function. Spin is directional and can be said to have odd parity. It follows that transitions in which the spin "direction" changes are forbidden. In formal terms, only states with the same

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