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Transition Strengths of Alkali-Metal Atoms


	This Demonstration presents diagrams showing the relative line strengths of the optical transitions between hyperfine-Zeeman states of the D1 and D2 lines in the most common isotopes of alkali-metal atoms (H, Li, Na, K, Rb, Cs). The total atomic angular momentum obeys , where is the electronic angular momentum and is the nuclear angular momentum.


	Contributed by: Gianni Di Domenico (Université de Neuchâtel) and Antoine Weis (Université de Fribourg)
	Show Initialization Code

The strength of the

transition is proportional to the square of the electric dipole matrix element

By successive application of the Wigner–Eckart theorem and angular momentum decoupling rules, it can be written in terms of Wigner 3j and Racah 6j symbols:

In the graphs the relative transition strengths are normalized such that the D2 line transition

has a unit strength.

Electric Dipole (ScienceWorld)

Isotope (ScienceWorld)

IsotopeData (Wolfram Mathematica Documentation Center)

Wigner 6j-Symbol (Wolfram MathWorld)

Wigner 3j-Symbol (Wolfram MathWorld)

"Transition Strengths of Alkali-Metal Atoms" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TransitionStrengthsOfAlkaliMetalAtoms/

Contributed by: Gianni Di Domenico (Université de Neuchâtel) and Antoine Weis (Université de Fribourg)

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