Applying Bohr's Hydrogen model to a He ion

In summary, the conversation discusses the use of the Bohr model to find the energy of excited states in singly ionized Helium atoms. It is mentioned that this model can be applied, but with the restriction that the minimum energy is 54.4 eV due to the fact that Helium ions have a charge of 2. The equation for the energy of the 1s^1 ground state is also provided.
  • #1
MaximumTaco
45
0
Hey ppl,

I was wondering, with a singly ionised He atom, can we apply the Bohr model, eg E = 13.6eV/n^2, to find the energy of the excited states? How would i go about that?
 
Physics news on Phys.org
  • #2
Nglecting all relativistic effects,u could aplly the formula,but with the restriction that the minimum energy is [tex] 13.6*4=54.4 [/tex] eV.which comes from the fact that for Helium ions [tex] Z=2 [/tex].
 
  • #3
Beta Battle...



[tex]1s^1[/tex] ground state:
[tex]E_{1s^1}(Z,n) = \frac{(13.6ev)Z_n^2}{n^2}[/tex]

[tex]E_{1s^1}(Z,n) = \frac{\alpha^2 M_e c^2 Z_n^2}{2qn^2} = \frac{M_e}{2q} \left( \frac{\alpha c Z_n}{n} \right)^2[/tex]

[tex]E_{1s^1}(Z,n) = \frac{M_e}{2q} \left( \frac{\alpha c Z_n}{n} \right)^2[/tex]

This equation seems to work for ALL beta [tex]1s^1[/tex] states.

 
Last edited:

1. What is Bohr's Hydrogen model and how does it apply to a He ion?

Bohr's Hydrogen model is a simplified model of the atom proposed by Niels Bohr in 1913. It states that electrons orbit the nucleus in specific energy levels, and can only transition between these levels by absorbing or emitting specific amounts of energy. This model can be applied to a He ion, which contains only two electrons, by using the same principles to determine the energy levels and transitions of the electrons.

2. How is the energy of a He ion's electron determined using Bohr's model?

The energy of a He ion's electron can be determined by using the equation E = -13.6/n^2, where n is the energy level. This equation is derived from Bohr's model and shows that the energy of an electron is inversely proportional to the square of its energy level. So, the higher the energy level, the lower the energy of the electron.

3. Can Bohr's model accurately predict the behavior of electrons in a He ion?

Bohr's model is a simplified model and does not account for the more complex behavior of electrons in atoms with multiple electrons. However, it can still provide a general understanding of the behavior of electrons in a He ion. More accurate models, such as the quantum mechanical model, are necessary for more precise predictions.

4. How does Bohr's model explain the emission spectrum of a He ion?

Bohr's model explains the emission spectrum of a He ion by showing that when an electron transitions from a higher to a lower energy level, it emits a photon of specific energy. This energy corresponds to a specific wavelength of light, creating the characteristic emission spectrum of a He ion.

5. Can Bohr's model be applied to other ions or atoms?

Bohr's model can be applied to other ions or atoms, but it may not accurately predict their behavior. This is because it was developed specifically for the hydrogen atom and does not account for the complexity of other atoms and ions. However, it can still provide a basic understanding of their energy levels and transitions.

Similar threads

Replies
7
Views
1K
Replies
22
Views
1K
  • Atomic and Condensed Matter
Replies
1
Views
2K
  • Sticky
  • Atomic and Condensed Matter
Replies
2
Views
7K
  • Atomic and Condensed Matter
Replies
9
Views
4K
  • Atomic and Condensed Matter
Replies
6
Views
1K
  • Atomic and Condensed Matter
Replies
25
Views
5K
  • Atomic and Condensed Matter
Replies
3
Views
2K
  • Atomic and Condensed Matter
Replies
6
Views
1K
  • Atomic and Condensed Matter
Replies
0
Views
444
Back
Top