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Powerpoint Templates

Atomic Spectroscopy: Emission, Absorption & Fluorescence. Powerpoint Templates. Term Symbols. L = 0, 1, 2, ... S, P, D. J = L + S. L = | l 1 + l 2 |, | l 1 + l 2 - 1 |, ..., | l 1 - l 2 |. S = | s 1 + s 2 |, | s 1 + s 2 - 1 |, ..., | s 1 - s 2 |. J = L + S

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Powerpoint Templates

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  1. Atomic Spectroscopy: Emission, Absorption & Fluorescence Powerpoint Templates

  2. Term Symbols L = 0, 1, 2, ... S, P, D J = L + S

  3. L = | l1 + l2|, | l1 + l2 - 1|, ..., | l1 - l2| S = | s1 + s2|, | s1 + s2 - 1|, ..., | s1 - s2|

  4. J = L + S | L + S |, | L + S - 1|, ..., | L - S | Russell-Saunders Coupling jj – Coupling ji = li + si | j1 + j2|, | j1 + j2 - 1|, ..., | j1 - j2|

  5. Hund’s Rules • The lowest energy term is that which has the greatest spin multiplicity. • For terms that have the same spin multiplicity, the term with the highest orbital angular momentum lies lowest in energy. • spin-orbit coupling (more pronounced for heavier nuclei) splits terms intolevels. • { If the unfilled subshell is exactly or more than half full, the level with the highest J value has the lowest energy. • { If the unfilled subshell is less than half full, the level with the lowest J value has the lowest energy.

  6. Selection Rules Helicity of a photon σ = ± 1 (Physically analogous to the angular momentum along the axis of propagation) Upon absorption or emission of a photon the atom must change the momentum along the zz axis (considered collinear with the axis of propagation) in ± 1 ΔJ = 0; ± 1 (but J ≠ 0 if ΔJ = 0) ΔMJ= 0; ± 1 (but ΔMJ≠ 0 if J = 0)

  7. Electric dipole Transition moment Spin wave functions are differentially zero (αβ) or one (αα). ΔS = 0 allowed ΔS ≠ 0 forbidden

  8. Grotrian Diagrams Hydrogen

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