Understanding Orbitals and Energy Levels in the Bohr Model

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Discussion Overview

The discussion revolves around understanding orbitals and energy levels within the context of the Bohr model of the atom. Participants explore the definitions and characteristics of different quantum numbers, the structure of orbitals, and the rules governing electron transitions between these energy levels.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant recalls the relationship between principal quantum number (n) and the number of electrons in an energy level, noting that for n=1, there are 2 electrons.
  • Another participant expresses uncertainty about how to determine the specific orbitals (s, p, d, etc.) associated with these energy levels.
  • A participant mentions using the Bohr model to analyze possible electron transitions and seeks clarification on how to determine the change in magnetic quantum number (Δm_l) during these transitions.
  • Several participants discuss the rules for quantum numbers, including the relationships between n, l, and m, and how they define energy states and orbital orientations.
  • One participant explains the maximum number of electrons in each subshell and the significance of Pauli's exclusion principle in determining electron configurations.
  • A later reply questions the likelihood of specific transitions occurring, particularly between the 1s and 2p, and 1s and 3p states, suggesting that there may be restrictions on these transitions.

Areas of Agreement / Disagreement

Participants generally agree on the definitions and relationships between quantum numbers and orbitals, but there is uncertainty regarding the specifics of electron transitions and the conditions under which they occur. The discussion remains unresolved regarding the likelihood of certain transitions.

Contextual Notes

Participants express varying levels of familiarity with terminology and concepts, indicating potential gaps in understanding. There are also references to specific rules and principles that may depend on further context or clarification.

liquidFuzz
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I'm sitting with Physics Handbook and I'm trying to recall how the make out the orbitals in the energy levels. Let's take a look at the first levels.

n = 1 - sub-shell K
Number of electrons = [itex]2n^2 \Rightarrow 2[/itex] electrons.
Number of electrons = [itex]l = 0,1... n-1 \Rightarrow l = 0[/itex].

This is where I get stuck. I can't remember how to get the orbitals; s, p, d etc...

Edit, is n = 0 & l = 0 written as 1s?
 
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Ah well, I think I've got it, using brute force on my F.H. One thing though.

I seem to remember using this model to decide between which orbitals a jump is possible. Is it, how would I do that if yes..?

Cheers!
 
Hmm... Thanks for the link!

I'm not sure of the terminology in English. Would this be called Electron Transition? The rules, how do I determine [itex]\Delta m_l[/itex] ? I added a picture of what I've got so far.

Rules

[itex]\Delta l = \pm 1[/itex]
[itex]\Delta m_l = 0, \pm 1[/itex]
 

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First write down the principle quantum no. n the azimuthal quantum number is l=n-1 and then magnetic quantum number is m=-l to l. n and l give energy states, and m gives orientation of degenerate states. n can never be zero here at in the which you are dealing with. n=1 l=0 is written as 1s.
for s, l=0
for p, l=1
for d, l=2
for f, l=3
for g, l=4 and so on..
Actually s, p, d, f, ... are initial alphabets of the spectral terms - sharp,principle,diffuse,fundamental.
general rule for writing quantum states is -(principle quntum no. n)(name of sub-shell s,p,d or f)and number of electron in that state in superscript.
One more thing s, p, d, f,... are subshells containing orbitals decided by m and each orbital contains at max. 2 electrons as per Pauli's exclusion principle.
s-> one orbital m=0,
p-> three degenerate orbitals m=-1,0,1
and so on
 
Thanks for the explanation. I tried to sketch possible transitions... Is any transitions but 1s --> 2p and 1s --> 3p likely to occur given that they have to stop at 2p?
 

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