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!

Homework Help: What is the nuclear spin of this atom?

  1. Jun 7, 2015 #1
    1. The problem statement, all variables and given/known data

    A singly ionized atom exhibits hyperfine structure in a ##^3P_1 \rightarrow ^3S_1## transition. Assuming ##I## is greater than ##J## and given that the ##^3S_1## levels are split by ##66~GHz## and ##54~GHz##, find the nuclear spin ##I##.

    2. Relevant equations

    [tex]E_{HFS} = \frac{A}{2} \left[ F(F+1) - I(I+1) - J(J+1) \right] [/tex]

    3. The attempt at a solution

    Since ##J=1##, the ##^3S_1## level is split by the higher level ##F=I+1## and lower level ##F = I##.
    2005_B3_Q1.png

    [tex] \frac{(I+1)(I+2) - I(I+1) - J(J+1)}{I(I+1) - I(I+1) - J(J+1)} = \frac{66}{54}[/tex]
    [tex] \frac{2I}{2} = 1.22[/tex]

    I get ##I = 1.22##, which is strange as shouldn't nuclear spin be either in multiples of ##\frac{1}{2}##?
     
  2. jcsd
  3. Jun 7, 2015 #2
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted