Optical Spectroscopy and Atomic Structure

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SUMMARY

The discussion focuses on calculating the energy and radius of the first five electron orbits in a Helium atom with one electron, specifically using the formula E0 = k(Ze)²/2r. The value of Z for Helium is 2, and the user seeks assistance in determining the ground state energy E0 accurately. The conversation emphasizes the importance of correct calculations to derive the energy and radius values in electron volts (eV) and nanometers (nm), respectively.

PREREQUISITES
  • Understanding of atomic structure and electron orbits
  • Familiarity with the formula E0 = k(Ze)²/2r
  • Knowledge of units for energy (eV) and radius (nm)
  • Basic skills in algebra for solving equations
NEXT STEPS
  • Research the concept of electron orbits in multi-electron atoms
  • Study the implications of the quantum number n on energy levels
  • Learn about the effective nuclear charge and its impact on electron energy
  • Explore advanced topics in atomic spectroscopy related to Helium
USEFUL FOR

Students studying quantum mechanics, physicists interested in atomic structure, and educators teaching atomic theory concepts.

sheri1987
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Homework Statement



Calculate the energy and radius for each of the five lowest (n = 1,2,3,4,5) electron orbits in a Helium atom with only one electron. Enter the energy as a positive value in units of "eV" and the radius in units of "nm". Hint: The Helium nucleus has 2 protons so Z = 2 and the ground state energy of Helium will be E0 = k(Ze)2/2r.

If n=2, find E and r1

Homework Equations





The Attempt at a Solution



I know how to answer the question, but I need help with finding the ground Energy E0 of Helium. I keep ending up with incorrect answers using that equation given in the problem, can anyone help me solve for the ground energy of Helium?
 
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Your using the correct formula.

In order to find your mistake, I'll have to see your calculations.
 

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