Show the permissible values of l and m

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Discussion Overview

The discussion revolves around determining the permissible values of the quantum numbers l (azimuthal quantum number) and m (magnetic quantum number) for given principal quantum numbers n (specifically for n=1, n=2, and n=3). The scope includes homework-related queries and conceptual clarifications regarding quantum mechanics.

Discussion Character

  • Homework-related
  • Conceptual clarification

Main Points Raised

  • One participant expresses uncertainty about the meaning of "permissible values" and requests clarification to get started.
  • Another participant suggests that more information is needed to address the question effectively.
  • A third participant explains the relationship between n, l, and m, noting that for n=1, there is one sublevel and uses the equation n^2 to discuss the number of orbitals for n=2, but admits to not fully understanding the question.
  • A later reply emphasizes the need to identify what values l and m can take for a given n and questions whether l can exceed n-1, using n=4 and l=7 as an example.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the interpretation of the question or the necessary information to solve it. Multiple viewpoints and uncertainties remain present in the discussion.

Contextual Notes

Participants express confusion regarding the definitions and relationships between the quantum numbers, indicating a need for further clarification on the topic.

Tyyoung
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Homework Statement


Show the permissible values of l and m for;
a) n=1
b) n=2
c) n=3


Homework Equations



I'm not really sure what they mean by permissible values, I would greatly appreciate it if someone could explain this to me and help me get started. thank you

The Attempt at a Solution

 
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I think you need to give us a little more information
 


n is the primary quantum number, l is the secondary quantum nuber and m is the magnetic quantum number.

if n=1 then you have 1 sublevel you use the equation n^2 to find out how many orbitals it has. For example, if n=2 then sub it into the equation n^2 so (2)^2 = 4, therefore it has 4 orbitals. Umm lol This information is only semi relevant I believe I'm not really understanding the question itself so it makes it difficult to relate information to it. There isn't a direct formula that I know of that is related to it I think it is a question that you have to infer but once again I don't exactly understand what the question is asking.
 


It asks what values can l & m take for a given n.

Let's say... if n=4, is it possible to have l=7?

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methods
 

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