Atoms, Molecules and Optical Physics 1 by Ingolf V. Hertel & Claus-Peter Schulz

Author:Ingolf V. Hertel & Claus-Peter Schulz
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

(6.81)

(6.82)

(6.83)

Obviously, the familiar Einstein relations (4.​127) are valid for the individual fine structure components (6.77)–(6.80) with j:=J, as well as for the multiplet averaged quantities (6.81)–(6.83) where j:=L.

In the older literature, branching ratios within multiplets were often presented in extended sets of tables – or derived by equating different sums from (6.81) and (6.83). Today these relative line strengths and transition probabilities are evaluated readily using the 6j symbols (computed e.g. with Sven Gato Redsun 2004). Hence, we only communicate by way of example in Table 6.3 the branching ratios for 2S↔ 2P and 2P↔ 2D multiplets as relevant e.g. for H and the alkali atoms. It is interesting to note that for a 2S↔ 2P transition the absorption probability for the 2S1/2→ 2P3/2 is twice that for the 2S1/2→ 2P1/2 transition. In contrast, the inverse processes 2P1/2→ 2S1/2 and 2P3/2→ 2S1/2 have identical transition probabilities, as already mentioned in the context of Fig. 6.23. Table 6.3Branching ratios in 2S↔ 2P and 2P↔ 2D transitions calculated by (6.80) and (6.78). The relative intensities can only be compared within one multiplet. The sum over all transitions starting from one J a or J b are normalized to unity

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.