What is the relationship between Helium's atomic mass and the Rydberg constant?

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SUMMARY

The relationship between Helium's atomic mass and the Rydberg constant is not a simple ratio of 4, as Helium has an atomic number (Z) of 2. The Rydberg constant can be adjusted for multi-electron atoms like Helium by incorporating the concept of "reduced mass." This adjustment accounts for the interaction between the nucleus and the electrons, leading to a more accurate calculation of the Rydberg constant for Helium compared to hydrogen.

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  • Understanding of atomic structure and atomic numbers
  • Familiarity with the Rydberg formula and its applications
  • Knowledge of the concept of reduced mass in physics
  • Basic grasp of quantum mechanics principles
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Homework Statement
Determine the ratio of the Rydberg constant for Helium to Hydrogen
Relevant Equations
R = (Z^2*m*e^4)/(8*E0*h^3 * c)
I thought the ratio was purely 4, because Helium's Z = 2 (atomic mass). Apparently this is not true, and now I'm stuck... I think there must be some other form of equation for the rydberg constant that is more general, but google and wikipedia are not helping that much.

Any thoughts?
 
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Hint: "reduced mass"
 
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