Physical Chemistry , 1st ed.

a spectrum illustrates). Since the energy of the transition depends on the value ofnand not of, the different transitions ultim ...

angular momentum and spin angular momentum, that determines the total electronic eigenvalue energy and thus dictates the changes ...

Example 15.2 From the above expressions, determine the possible values ofjfor the fol- lowing. a.A single delectron b.A single h ...

valence electron in such atoms, selection rules are dictated by the allowed changes in and m:  1 m0, 1 The values of the ...

15.5 Multiple Electrons: Term Symbols and Russell-Saunders Coupling Understanding the momentum combinations of lone electrons in ...

Example 15.5 What are the term symbols for the two higher-energy states in the Na atom’s D lines? Use the solution to Example 15 ...

pelectrons ( 1  2 1), the possible values for Lare 2, 1, and 0. These pos- sible values ofLindicate the possible vector comb ...

Example 15.6 List all of the possible term symbols (do not neglect any due to Pauli princi- ple considerations) for a d^2 ground ...

So far, we have not considered the Jquantum number in the term symbol, even though we defined the term symbol as listing a value ...

number of states is the sum of these degeneracies, which is 45. There are 45 individual electronic states within the d^2 electro ...

Solution The first step is to recognize that the d^8 electron configuration will have the same term symbols as the d^2 electron ...

These three selection rules require several comments. First, a L0 tran- sition is possible. This seemingly contradicts our earl ...

15.7 show two Grotrian diagrams, illustrating the allowed transitions. As might be expected, atoms that have more unpaired valen ...

Cvor Dhsymmetry, for the present those two point groups will be impor- tant. There are also some similarities in electronic sp ...

quantum number may have several possible values depending on the values ofand , but now the restriction on negative values of ...

Because the Dhpoint group has a formal order of, other methods must be used to determine how this direct product reduces. It d ...

a symmetric spatial electronic state (check its character!). Therefore, the sym- metric spatial states must be paired with antis ...

As coupling of the angular momenta increases with atomic number, more and more “forbidden” transitions are observed in the elect ...

the American physicist Edward U. Condon. Franck shared a 1925 Nobel Prize for his work on the interactions between electrons and ...

two examples of a high-probability and a low-probability transition using Franck-Condon principles. The transition marked A has ...