Calculating Energy in Helium Ion Ground State via Bohr Model

In summary, the conversation is about calculating the energy in the ground state of a helium ion using the Bohr model with corrections for the charge and mass of the nucleus. The homework equations involved are m*v*r = n*(h/2*pi). The individual is seeking clarification on how to incorporate the corrections for charge and mass in the Bohr model.
  • #1
steve233
20
0

Homework Statement



Consider a helium ion with 2 neutrons and 2 protons in the nucleus and 1 bound electron.
Use the Bohr model with corrections for charge and mass of the nucleus.

Calculate the energy in the ground state.

Homework Equations



m*v*r = n*(h/2*pi)

The Attempt at a Solution



Basically I'm confused how to make the corrections to the Bohr model for charge and mass. I'm fine with the rest of the question, I've just never seen an example of making the correction.
Thanks.
 
Physics news on Phys.org
  • #2
steve233 said:

Homework Statement



Consider a helium ion with 2 neutrons and 2 protons in the nucleus and 1 bound electron.
Use the Bohr model with corrections for charge and mass of the nucleus.

Calculate the energy in the ground state.

Homework Equations



m*v*r = n*(h/2*pi)

The Attempt at a Solution



Basically I'm confused how to make the corrections to the Bohr model for charge and mass. I'm fine with the rest of the question, I've just never seen an example of making the correction.
Thanks.
The Bohr model of hydrogen atom calculates with the mass of a proton as nucleus mass and 1e charge. What are the mass and charge of the helium nucleus?
 

1. What is the Bohr model and how does it relate to calculating energy in helium ion ground state?

The Bohr model is a simplified representation of the structure of an atom proposed by Niels Bohr in 1913. It states that electrons orbit the nucleus in circular paths at specific energy levels. For calculating energy in helium ion ground state, we use the Bohr model to determine the energy of the electron in the first energy level.

2. How is the energy of the electron in the first energy level of helium ion calculated using the Bohr model?

The energy of an electron in the first energy level of helium ion can be calculated using the formula E = -13.6/n², where n is the principal quantum number. For the first energy level, n = 1, therefore the energy of the electron in the first energy level of helium ion is -13.6 eV (electron volts).

3. What is the ground state of an atom and why is it important in calculating energy using the Bohr model?

The ground state of an atom is the lowest energy state an electron can occupy. In the Bohr model, the energy of electrons is calculated using the ground state as the reference point. This is important because it allows us to determine the energy levels of electrons in an atom and understand the stability of the atom.

4. Can the Bohr model accurately predict the energy of electrons in all atoms?

No, the Bohr model is a simplified representation and does not accurately predict the energy of electrons in atoms with more than one electron. It works well for hydrogen and helium ions, but for larger atoms, we need to use more complex models such as the quantum mechanical model.

5. How does the Bohr model contribute to our understanding of atomic structure and energy levels?

The Bohr model was one of the first models to explain the structure of atoms and the behavior of electrons. It helped us understand the concept of energy levels and how electrons move within an atom. While it is not entirely accurate, it laid the foundation for further research and development of more complex models to explain atomic structure and energy levels.

Similar threads

Rutherford model of atom and Bohr model
    • Introductory Physics Homework Help
Replies
1
Views
941
Bohr-Sommerfeld model question "Old" Quantum Theory
    • Introductory Physics Homework Help
Replies
8
Views
2K
Bohr Model - Absorbing a Photon with Enough Energy to Ionize the Atom
    • Introductory Physics Homework Help
Replies
4
Views
826
How to calculate gamma ray energies following beta decay?
    • Introductory Physics Homework Help
Replies
12
Views
91
Ionization Energy of Helium Atom | 24.6 eV
    • Introductory Physics Homework Help
Replies
4
Views
1K
How Much Energy is Released When a Uranium Nucleus Captures an Electron?
    • Introductory Physics Homework Help
Replies
3
Views
1K
Ground state wavelength and uncertainty Bohr/deBroglie model
    • Introductory Physics Homework Help
Replies
1
Views
2K
Quantum Theory of Earth Satellite Analogy to Bohr Model
    • Introductory Physics Homework Help
Replies
5
Views
3K
Magnitude of the current flowing around the nucleus in the Bohr mode
    • Introductory Physics Homework Help
Replies
4
Views
3K
Insights Understanding Bohr’s Helium Lines
    • Atomic and Condensed Matter
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top