How Do the Electron Orbitals of H and He+ Differ?

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SUMMARY

The electron orbitals of Hydrogen (H) and Helium ion (He+) differ primarily due to the difference in nuclear charge. While both atoms have a single electron in a 1s orbital, He+ has a nuclear charge of +2 compared to H's +1. This increased positive charge in He+ results in a stronger electrostatic attraction between the nucleus and the electron, leading to lower energy levels for the electron in He+. Consequently, the energy levels of He+ are more negative than those of H, indicating that the electron in He+ is more tightly bound to the nucleus.

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  • Understanding of the Bohr Model of the atom
  • Basic knowledge of atomic structure and electron orbitals
  • Familiarity with concepts of nuclear charge and electrostatic forces
  • Ability to calculate energy levels using the formula for hydrogen-like atoms
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  • Study the calculations for energy levels in hydrogen-like atoms using the formula E = -Z² * 13.6 eV/n²
  • Explore the differences in electron configurations between hydrogen and helium
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Homework Statement


Both H and He+ atoms contain a nucleus and a single electron. Therefore He+ is often referred to as Hydrogen-like. According to the Bohr Model, the electron in He+ should orbit the nucleus in discrete orbits, much like the electron in the Hydrogen atom orbits its nucleus. How will the electron's orbital of He+ differ from the elctron's orbits of a H atom?


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The Attempt at a Solution

I don't see how their orbits will be different because they are both found within a 1s orbital which are spherical. Would they have different levels of energy? If so how could you go about figuring this?
 
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I'm not sure about calculating energy levels, but if you consider the amount of protons in a He+ atom versus a H atom, there are twice as many. This extra positive charge should cause a greater attraction inward on the proton. I think this change will also change the energy levels but can't help you with the calculations.
 

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