How Is Nuclear Spin Calculated for Alkali Atoms?

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Discussion Overview

The discussion centers around the calculation of nuclear spin for alkali atoms, exploring methods and principles related to nuclear structure. Participants seek to understand general rules and specific calculations related to nuclear spin, particularly in the context of different nucleon configurations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant inquires about general methods for calculating nuclear spin, expressing difficulty in finding information online.
  • Another participant states that even-even nuclei have a spin of 0, but notes that there is no general rule applicable to all cases.
  • A different participant mentions that odd nucleon numbers result in half-integer spins, with variability depending on the shell structure of the nucleus.
  • It is noted that odd-odd nuclei typically have integer spins, but ground states may not always have zero spin, citing manganese-50 as a counterexample.
  • One participant suggests that nuclear structure calculations, such as the nuclear shell model and the Nilsson Model, can be used to determine spin and parity, providing links for further reference.

Areas of Agreement / Disagreement

Participants express differing views on the rules governing nuclear spin calculations, with some proposing specific conditions while others highlight exceptions. The discussion does not reach a consensus on a general method for calculating nuclear spin.

Contextual Notes

Limitations include the dependence on nucleon configurations and the complexity of nuclear structure calculations, which may not yield straightforward rules applicable to all nuclei.

kawkaw
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hello,
i am new in this forum , :) i want to ask if anyone know how to calculate the nuclear spin of an atom in general, i searched in google i didnt find any method of calculation :/
can anyone help me please, thanks
 
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If it's even-even, it's spin-0. Otherwise, there is no general rule.
 
If the number of nucleons is odd then the spin is half-integer - but which half-integer varies widely with the shell structure of nuclei.

If the nucleus is odd-odd then the spin is integer - but ground state rarely has zero spin. Checking, just found a counterexample (manganese 50).
 
This is the realm of nuclear structure calculations. See for example, the nuclear shell model. Without doing complicated calculations, you can use the Nilsson Model to find the spin and parity of single particle states.

ETA: Link for the Nilsson Model: http://www.pa.uky.edu/~jnorce/Nuclear/node4.html

ETA2: If you just want to look up the ground state spins, you should look at NNDC. http://www.nndc.bnl.gov/chart/
 
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