Understanding Energy Levels and Transitions in Magnetic Fields

[ABlibo]

Homework Statement

I need help in solving this problem.
An atom escaped with L=1 emits photon with wavelength 600nm as it decays to a state with L=0. If the atom is placed in a magnetic field of magnitude 2.00T determine the shift in the energy levels and the wavelength and the atoms orbital magnetic field.
Thanks for any help.

Relevant Equations

interaction energy = mL*B*Ub
Ub=magnetic moment
B=magnetic field
mL=angular momentum.
PE= -U*B
U=magnetic dipole moment

Don't know how to relate the equations.
Thanks for your help.

 

[kuruman]

It looks like you are describing the http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/zeeman.html

 

[ABlibo]

It looks like you are describing the http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/zeeman.html

I understand the formula well but problem now is how to assign the mL values. For L=1 we'll have 3 mL values as -1 0 +1 and L=2 we'll have 5 mL values as -2 -1 0 +1 +2. How then do I represent them in the formula to get the final solution? Thanks for your help.

 

[kuruman]

The transition is from L = 1 to L = 0. There is no L = 2. Draw an energy level diagram. How many levels (total) do you have? How many possible transitions do you have? What is the energy separation between energy levels before the atom is placed in the magnetic field? What is the energy separation between energy levels after the atom is placed in the magnetic field??

 

[ABlibo]

The transition is from L = 1 to L = 0. There is no L = 2. Draw an energy level diagram. How many levels (total) do you have? How many possible transitions do you have? What is the energy separation between energy levels before the atom is placed in the magnetic field? What is the energy separation between energy levels after the atom is placed in the magnetic field??

Thanks for the correction. I understand the step by step break down of the whole process. I'll now do the maths.

 

[ABlibo]

The transition is from L = 1 to L = 0. There is no L = 2. Draw an energy level diagram. How many levels (total) do you have? How many possible transitions do you have? What is the energy separation between energy levels before the atom is placed in the magnetic field? What is the energy separation between energy levels after the atom is placed in the magnetic field??

Thanks for the correction. I understand the step by step break down of the whole process. I'll now do the maths.