Understanding Orbitals and Energy Levels in the Bohr Model

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SUMMARY

This discussion focuses on understanding orbitals and energy levels in the Bohr model of atomic structure. The principal quantum number (n) and azimuthal quantum number (l) are essential for determining the electron configuration, with n=1 corresponding to the 1s orbital. The rules for electron transitions, including Δl = ±1 and Δm_l = 0, ±1, are critical for predicting possible transitions between orbitals. The discussion also clarifies the nomenclature of subshells (s, p, d, f) and their respective electron capacities, emphasizing the significance of Pauli's exclusion principle.

PREREQUISITES
  • Understanding of quantum mechanics terminology, specifically quantum numbers.
  • Familiarity with the Bohr model of the atom.
  • Knowledge of electron configuration and subshells (s, p, d, f).
  • Basic principles of electron transitions and Pauli's exclusion principle.
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  • Study the concept of quantum numbers in detail, focusing on their roles in electron configuration.
  • Learn about the Pauli exclusion principle and its implications for electron arrangement in atoms.
  • Research electron transition rules and their applications in spectroscopy.
  • Explore the differences between the Bohr model and quantum mechanical models of the atom.
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Students of physics, chemistry enthusiasts, and educators seeking to deepen their understanding of atomic structure and electron behavior in quantum mechanics.

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 = 2n^2 \Rightarrow 2 electrons.
Number of electrons = l = 0,1... n-1 \Rightarrow l = 0.

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 \Delta m_l ? I added a picture of what I've got so far.

Rules

\Delta l = \pm 1
\Delta m_l = 0, \pm 1
 

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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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