Allowed and Forbidden Transitions
As we have noted earlier in conjunction with the color of emission nebulae
(the discussion of the interstellar medium in Chapter 23),
atomic electromagnetic
transitions can be divided into allowed transitions
and forbidden transitions. Allowed transitions
occur very rapidly, but forbidden transitions are slow. Because forbidden transitions
are slower, they are typically observed only in very low density gases. The reason is that
an atom excited to a state that can only decay electromagnetically by a forbidden transition is
very likely to lose its energy by collision with another atom rather than by emitting a photon,
unless the gas density is very low. If the gas density is low enough, the probability of
collision is small and the state may live long enough to decay by the forbidden
electromagnetic transition.
Thus, the primary significance of forbidden transitions for our discussion is that
their presence
typically signals a gas that has very low density.
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