Calculating Magnetic Flux Density for Zeeman Splitting 0.05 /cm

In summary, the question is asking for the magnetic flux density needed to produce a Zeeman splitting of 0.05/cm in the ground state of hydrogen. The equation for this is delta E = Ub*B, where Ub is the Bohr magneton. The confusion may lie in understanding that magnetic flux density is the same as magnetic field (B), and in converting the given wavenumber value into a frequency and then into an energy.
  • #1
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Homework Statement



What magnetic flux density is required to produce a zeeman splitting of 0.05 /cm in the ground state of hydrogen?


Homework Equations





The Attempt at a Solution



I\'ve worked out that delta E in the ground state is Ub B where Ub is the Bohr magneton. But how do i work out the flux density requied to produce that splitting?!
 
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  • #2
Not sure exactly where your confusion lies, but I'm guessing it's one of two areas:

1. Are you aware that "magnetic flux density" is the same as the magnetic field B?

2. Can you convert the 0.05/cm wavenumber value into a frequency, and from there into an energy?
 

1. What is magnetic flux density?

Magnetic flux density, also known as magnetic induction or magnetic field strength, is a measure of the strength of a magnetic field at a specific point in space.

2. How is magnetic flux density calculated?

Magnetic flux density is calculated using the formula B = μ0 * μr * H, where μ0 is the permeability of free space, μr is the relative permeability of the material, and H is the magnetic field strength.

3. What is Zeeman splitting?

Zeeman splitting is a phenomenon in which spectral lines are split into multiple components in the presence of a magnetic field. This is due to the interaction between the magnetic field and the electrons in the material.

4. Why is Zeeman splitting important in scientific research?

Zeeman splitting is important in scientific research because it provides valuable information about the structure and properties of materials. It is often used in spectroscopy to study the energy levels and transitions of atoms and molecules.

5. How does a magnetic field affect Zeeman splitting?

A magnetic field can affect Zeeman splitting by causing the spectral lines to split further apart or merge together, depending on the strength and direction of the field. This can provide additional information about the material's properties and the strength of the magnetic field itself.

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