Zeeman Effect - Strong Field

In summary, the problem requires finding the applied magnetic field for strong Zeeman effect in sodium, given three resonance line components at 580nm, 585nm, and 590nm. The relevant equation is Ezeeman = B * Bohr Magneton * ml, where ml can take values of 0, 1, or -1. The attempt at a solution involved using the equation for energy change and attempting to find the magnetic field, but the calculated answer of 2.6 MT was much higher than the expected range of 0 - 60 T. This indicates that there may be an error in the calculations.
  • #1
Nick789
7
0

Homework Statement



Have to find the applied magnetic field for strong zeeman effect for sodium.

Given three resonance line components
580nm 585nm and 590 nm

Homework Equations



Ezeeman=B*Bohr Magneton*ml
ml= 0,1 or -1

The Attempt at a Solution



Change energy = hf = hc/wavelength
Can't get sensible magnetic field answer

change wavelength: 10nm so change in energy: 1.988x10-17

Bohr Magneton: 9.27 x 10 ^-24 J/T

B= very high answer 2.6 MT and should be low anywhere from 0 - 60 T

Something is wrong here but not sure how to do it.
 
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  • #2
You didn't calculate the energy difference correctly.
 
  • #3
question is done now
 
Last edited:

1. What is the Zeeman Effect in a strong magnetic field?

The Zeeman Effect in a strong magnetic field refers to the splitting of spectral lines in an atom's emission spectrum when it is subjected to a strong magnetic field. This phenomenon was first observed by Dutch physicist Pieter Zeeman in 1896.

2. How does a strong magnetic field affect the Zeeman Effect?

A strong magnetic field causes the energy levels of an atom to split into multiple sub-levels, resulting in the splitting of spectral lines. This is due to the interaction between the magnetic field and the magnetic dipole moment of the atom.

3. What is the difference between the Zeeman Effect in a strong field and a weak field?

In a strong magnetic field, the energy levels of an atom split into multiple sub-levels, resulting in a more complex pattern of spectral lines. In a weak magnetic field, the energy levels only split into two sub-levels, resulting in a simpler pattern of spectral lines.

4. What are some practical applications of the Zeeman Effect in a strong magnetic field?

The Zeeman Effect in a strong magnetic field has a variety of applications in fields such as astrophysics, nuclear magnetic resonance (NMR) spectroscopy, and plasma physics. It is used to study the magnetic fields of stars and planets, as well as the behavior of atoms in strong magnetic fields.

5. How does the Zeeman Effect in a strong magnetic field contribute to our understanding of quantum mechanics?

The Zeeman Effect in a strong magnetic field is one of the key experimental observations that led to the development of quantum mechanics. It provided evidence for the existence of quantized energy levels in atoms and helped to refine our understanding of the behavior of particles on a microscopic scale.

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