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An atom possesing the total angular momentumħvv6 is in the state with spin quantum number S=1. In the corresponding vector model the angle between the spin momentum and the total angular momentum is theta= 73.2^(@).Write the spectral symbol for the term that state. |
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Answer» Solution :Total angular momentum ` ħsqrt(6)` means `J=2`. It is gives that `S=1` This means that `L=1,2 or 3`. From vector model RELATION `L(L+1) ħ^(2)=6 ħ^(2)+2 ħ^(2)sqrt(6)sqrt(2) COS 73.2^(@)` `=5.998 ħ^(2)~~6 ħ^(2)` THUS `L=2` and the spectral symbol of the STATE is `.^(3)D_(2)` |
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