Questions tagged [hyperfine-structure]

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Neutral hydrogen atoms in inhomogenous magnetic field

In the 1996 gre exam this scenario comes up in a question: a beam of neutral hydrogen atoms in their ground state pass through a region of of strong inhomogenous magnetic field. In the official ...
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Hydrogen hyperfine structure from H2-molecule, interacting H-atoms or independent H-atoms?

On hyperphysics the hyperfine structure of hydrogen is compared to that of deuterium: According the Hyperfine structure on Wikipedia In atoms, hyperfine structure arises from the energy of the ...
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What does represents the concept of “magic wavelength” in optical frequency standards?

I cannot find on the internet references on this topic, so I'm trying to post my question on this forum, this is the first time I post here. I can't understand the difference between "normal" ...
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How can I calculate the hyperfine structure of a $p$-orbital?

I have a little problem with the calculation of the hyperfine structure of the 3p orbital in the hydrogen atom. The Hamiltonian is: Were represents the magnetic moment of the proton and the ...
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Is it reasonable that the fine structure constant can be to the dependence of the dimension of the spacetime?

In the following paper Corrections to the fine structure constant in higher dimensional global monopolespacetime the authors presented a form to the fine structure constant for (D+1)-dimensions space-...
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Basic labeling of the hyperfine structure of $^{133}$Cs

I am practicing some questions in preparation for an upcoming exam and the following has me stumped: The D2 line of $^{133}$Cs involves transitions between the ground state $6S_{1/2}$ and the ...
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947 views

What exactly is a hyperfine level as mentioned in the definition of a second?

I have a quite simple question: What exactly is a hyperfine level (or a hyperfine structure)? Maybe my question sounds (or is) stupid $-$ I am not an expert in physics $-$ but I didn't find any ...
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A question on perturbative terms involved in the hyperfine structure of hydrogen

In studying the hyper-fine structure of the hydrogen atom at the 2n level in my notes the following is stated ; $$\langle W_{mv} \rangle _{2s}=\langle n=2, l=0|- \frac{\hat{P^4}}{8m_e^3c^2}| n=2, ...
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578 views

Fine structure Hamiltonian from Dirac equation

The Hamiltonian for fine structure (the atom with $\text{Z}$ protons and with electron interaction terms included) is $$H=\frac{\text{Z}^2}{ r}+\underbrace{\frac{p^2}{m}+\frac{p^4}{m^3}}_{\text{...
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Feshbach -Resonance why are hyperfine structures important?

The hyperfine structure of energy levels around the ground state seem to enable Feshbach and be intrinsic to it. Why do we need hyperfine levels? I.e. why is Feshbach specific to ultracold atoms in ...
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375 views

Hyperfine Interaction Hamiltonian

I didn't had any course on hyperfine interactions and now I am having trouble in solving the Anisotropic Hyperfine Hamiltonian. The problem is of matrix dimensions that have to be considered in the ...
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Where can I find data about hyperfine levels of a given atom?

The NIST Atomic Spectra Database is an excellent resource for finding the energy levels of atoms and the transitions between them, and (together with the DLMF) is a good candidate for the number-one ...
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Natural linewidth of hyperfine transitions

I'm referring to this question: Natural linewidth of hyperfine levels? Let's take Rubidium-85 for example. It's written everywhere that the D2 line has a linewidth of around 6 MHz. But the D2 "line", ...
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Sub-structure of hyperfine levels

In studying introductory atomic physics I have come across fine structure splittings in energy levels due to spin-orbit coupling. Which has a sub-structure called hyperfine structure which comes from ...
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Hydrogen Hyperfine Structure: General Expression

I was looking at the hyperfine structure for the hydrogen atom. I checked pretty much every textbook I knew but none of them gave me the general expression for the energy correction due to the ...