With no magnetic field, the spectral line representing the transition from the 2P1/2 state to the 2S1/2 state in sodium has the wavelength 589.76 nm (see Figure 8.16). This is one of the two strong yellow lines in sodium. Calculate the difference in wavelength between the shortest and longest wavelength between these two states when placed in a magnetic field of 2.50 T.

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With no magnetic field, the spectral line representing the transition from the 2P1/2 state to the 2S1/2 state in sodium has the wavelength 589.76 nm (see Figure 8.16). This is one of the two strong yellow lines in sodium. Calculate the difference in wavelength between the shortest and longest wavelength between these two states when placed in a magnetic field of 2.50 T.

Energy
2Ps/2
2p
Figure 8.16 Schematic diagram
of anomalous Zeeman effect for
sodium (energy levels not to
scale). With Be = 0 for the un-
perturbed states, there is only one
transition. With the spin-orbit in-
teraction splitting the 2P state
into two states, there are two pos-
sible transitions when B = 0. Fi-
nally, B splits Jinto 2/ + 1 com-
ponents, each with a different my.
The energy splitting AE for each
major state is different because
AE = gmy (eh2m)Best and the
Landé g factor for glAE(S/2)] >
g[AE¢P2)] > g[AE(-P,/2)]. All
Unperturbed
With
With
spin-orbit
interaction
states
Pext
Best
= 0
allowed transitions are shown.
-IN
+ + IL
Transcribed Image Text:Energy 2Ps/2 2p Figure 8.16 Schematic diagram of anomalous Zeeman effect for sodium (energy levels not to scale). With Be = 0 for the un- perturbed states, there is only one transition. With the spin-orbit in- teraction splitting the 2P state into two states, there are two pos- sible transitions when B = 0. Fi- nally, B splits Jinto 2/ + 1 com- ponents, each with a different my. The energy splitting AE for each major state is different because AE = gmy (eh2m)Best and the Landé g factor for glAE(S/2)] > g[AE¢P2)] > g[AE(-P,/2)]. All Unperturbed With With spin-orbit interaction states Pext Best = 0 allowed transitions are shown. -IN + + IL
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