How many traces observed in Stern-Gerlach?

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Homework Help Overview

The discussion revolves around a question from an Atoms and Nuclei past paper regarding the Stern-Gerlach experiment and the number of traces observed on the plate when using different elements, specifically helium and boron. Participants are exploring the implications of angular momentum and coupling states in determining the number of traces.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants are attempting to understand how the number of traces relates to the angular momentum states of the atoms in question. There is a focus on the formula (2j+1) for determining the number of traces based on the angular state, and questions are raised about the specific cases of helium and boron.

Discussion Status

The discussion is ongoing, with some participants providing insights into the calculations for helium and boron. There is acknowledgment of the complexity of the problem, especially regarding boron's multiple L-S coupled states, and participants are considering different possible outcomes for the number of traces.

Contextual Notes

Participants are working within the constraints of a past paper question, which may impose specific expectations or interpretations of the problem. The mention of boron's two L-S coupled states introduces additional complexity that is being explored.

iori_uk
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I am struggling with an Atoms and Nuclei past paper question, if someone can help please.

In a Stern Gerlach experiment, how many traces on the plate would be observed if instead of hydrogen a)helium b)boron (atomic number 5), are used? [Hint: Boron will exist in 2L-S coupled states]


I have no idea how to approach this problem. The previous part of the question asked to calculate the gap between the traces observed on the plate which is well known to be two traces, same for silver and other electrons with one electron in the outershell. The two traces problem I would do, but not the one I've mentioned above. Can someone help?
 
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The number of traces is (2j+1), where j is the angular state of the atom.
 
Hmmm as simple as that? It's just that its a whole 10 mark Question...
 
Hi, Thanks Pam for your reply, much appreciated.

I've tried to do the question I mentioned in the 1st post and get 1 trace for helium (L=0 , S=0 , J=L+S=0). But for Boron , as it has 2 L-S coupled states I get J=1/2 (2 traces) or J=3/4 (4 traces).

Which one or a combination of the number of traces will it be for Boron I'm wondering...
 

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