Calculating Energy in Helium Ion Ground State via Bohr Model

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SUMMARY

The discussion focuses on calculating the energy of a helium ion in its ground state using the Bohr model, specifically addressing the necessary corrections for the nucleus's charge and mass. The helium ion consists of 2 protons and 2 neutrons, resulting in a nucleus with a charge of +2e and a mass approximately four times that of a proton. Participants express confusion regarding how to apply these corrections to the traditional Bohr model equations, particularly the equation m*v*r = n*(h/2*pi), which is essential for determining the energy levels.

PREREQUISITES
  • Understanding of the Bohr model of the atom
  • Familiarity with fundamental physics equations, particularly m*v*r = n*(h/2*pi)
  • Knowledge of atomic structure, specifically the composition of helium ions
  • Basic grasp of electrostatics, including charge interactions
NEXT STEPS
  • Study the corrections to the Bohr model for multi-electron systems
  • Learn about the mass and charge calculations for helium ions
  • Explore quantum mechanics principles that extend beyond the Bohr model
  • Investigate the implications of nuclear charge on electron energy levels
USEFUL FOR

Students and educators in physics, particularly those focusing on atomic theory and quantum mechanics, as well as anyone seeking to understand the application of the Bohr model to ions beyond hydrogen.

steve233
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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.
 
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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?
 

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