1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Atomic Energy Levels in the Presence of a Magnetic Field

  1. Jan 25, 2010 #1
    1. The problem statement, all variables and given/known data

    In the presence of a magnetic field, the energy of an atomic energy level is changed by the quantity:

    Emag=g[tex]\mu[/tex]BBM

    (i) Expain the meaning of the terms in the expression.

    (ii) Into how many levels is the ground state of the sodium atom split?

    (iii) For each level calculate the change in energy in units of eV for an applied magnetic field of B=0.1T

    2. Relevant equations

    The ground state of a sodium atom has electronic configuartion

    (1s)2(2s)2(2p)6(3s)

    The land[tex]\acute{e}[/tex] factor is given by:

    g=1+[tex]\frac{J(J+1)+S(S+1)-L(L+1)}{2J(J+1)}[/tex]


    3. The attempt at a solution

    (i)

    Emag is the magnetic energy
    g is the Land[tex]\acute{e}[/tex] factor
    [tex]\mu[/tex]b is the magnetic moment
    B is the magnetic field strength
    M is the magnetic quantum number

    (ii)

    Split into (2J+1) levels

    the

    1s level has l = 0 hence J = 1/2 so splits into two levels
    2s level has l = 0 hence J = 1/2 so splits into two levels
    2p level has l = 1 hence J = 1 + 1/2 = 3/2 so splits into four levels
    3s level has l = 0 hence J = 1/2 so splits into two levels

    The ground state splits into eight levels.

    I am unsure if this is the correct method to answer the question.

    (iii)

    Assuming (ii) was correct, I am unsure how to go from here, I assumed I could just subsitute into the Emag equation however I have no knowledge of M or [tex]\mu[/tex]b.

    Can anyone help me?!
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?



Similar Discussions: Atomic Energy Levels in the Presence of a Magnetic Field
Loading...