Different values of g factor (gyromagnetic ratio) of nuclei

In summary, the conversation discusses Rabi's paper on the Molecular Beam Resonance Method, which introduces the concept of Rabi Oscillation. The paper also calculates the nuclear magnetic moments of Li (atomic mass 6), Li (atomic mass 7), and F (atomic mass 19) based on their g factor values. However, these values differ greatly and the conversation questions if there are any logical reasons for these differences or if they are intrinsic properties of the atoms. The conversation also mentions the use of QCD to derive these results and the debate on the satisfaction of understanding through numerical simulation. Additionally, it is mentioned that the paper has been published in Phys. Rev. D81 054502 (2010).
  • #1
mimocs
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Hi, last week I read Rabi's paper "The Molcular Beam Resonance Method".
This paper contains the basic idea of the oscillation which we call "Rabi Oscillation" as many of you guys know.
However, at the end of this paper, Rabi calculates nuclear magnetic moments of Li (atomic mass 6), Li (atomic mass 7), F (atomic mass 19) by measuring the g factor of the atoms above.
Here's my Question.
g factor for Li (atomic mass 6) is 0.820,
Li (atomic mass 7) is 2.167
F (atomic mass 19) is 5.243
These values differ greatly. Are there any logical reasons to explain the differences of g factor?
Or is it just an intrinsic property of each atoms (just like the spin of electron is 1/2)?
Have a nice day
 
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  • #2
In principle, one can derive all of these results from QCD, the fundamental theory of strong interactions.

In principle, theory and practice are the same. In practice, they're different.

The only way predictions about hadrons and nuclei from QCD is by numerically simulating it on a lattice (lattice QCD). After nearly half a century, the state-of-the-art is finally yielding sensible result. I refer you here: http://arxiv.org/abs/1001.1131 **

It also depends on what you mean by "logical reasons." Lattice QCD seems to be in agreement with phenomenology...it's comforting to know it works, but is it satisfying? Depends on who you ask.

Suppose we have a computer that we tell about QCD and then ask it to spit out answers, e.g. about the spectrum of hadrons. The computer gives results that we extrapolate to the physical world and we find that the computer was right (its results are in agreement with the spectrum we observe in nature). Have we understood anything?

***the paper has also been published in Phys. Rev. D81 054502 (2010) )
 
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1. What is the g factor of a nucleus?

The g factor, also known as the gyromagnetic ratio, is a dimensionless value that describes the strength of the magnetic moment of a nucleus in response to an external magnetic field. It is a fundamental property of a nucleus and is determined by its composition and nuclear spin.

2. Why do different nuclei have different g factors?

The g factor of a nucleus is influenced by several factors, including its nuclear spin, shape, and the distribution of charge within the nucleus. These differences in composition and structure lead to variations in the magnetic moment and thus the g factor.

3. How are g factors of nuclei measured?

The g factor of a nucleus can be measured using various experimental techniques, such as nuclear magnetic resonance (NMR) spectroscopy or electron paramagnetic resonance (EPR). These methods involve subjecting a nucleus to a magnetic field and observing the resulting energy levels and transitions.

4. What is the significance of different g factors?

The g factor of a nucleus is an important parameter in nuclear physics and has various applications, including in nuclear magnetic resonance imaging (MRI) and in the study of nuclear structure and properties. It can also provide insights into the fundamental forces and interactions within the nucleus.

5. Can the g factor of a nucleus change?

The g factor of a nucleus is a constant value that remains unchanged unless there is a change in the composition or structure of the nucleus. However, in certain cases, the presence of external factors such as electric or magnetic fields can cause slight variations in the g factor.

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