Calculate Lyman, Balmer, and Paschen Spectral Intervals

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SUMMARY

The discussion focuses on calculating the spectral intervals for the Lyman, Balmer, and Paschen series of the hydrogen atom. The relevant formula provided is the frequency equation: frequency = [1/4 - 1/n^2] * 3.29*10^(15)s^-1. For the Lyman series, λmax corresponds to the transition from n = 2 to n = 1, while λmin corresponds to the transition from n = ∞ to n = 1. The user seeks clarification on the energy levels associated with these series and the correctness of the provided equation.

PREREQUISITES
  • Understanding of atomic energy levels in hydrogen
  • Familiarity with the Rydberg formula for hydrogen spectral lines
  • Knowledge of the Lyman, Balmer, and Paschen series
  • Basic principles of electromagnetic radiation and frequency calculations
NEXT STEPS
  • Study the Rydberg formula for calculating wavelengths of hydrogen spectral lines
  • Learn about the transitions between energy levels in hydrogen
  • Explore the significance of λmax and λmin in spectral analysis
  • Investigate the continuous spectrum of hydrogen and its relation to discrete spectral lines
USEFUL FOR

Students studying quantum mechanics, physics educators, and anyone interested in understanding hydrogen spectral lines and their calculations.

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Homework Statement



Calculate the spectral interval (λmax, λmin, and Δλ) in which all the lines of the Lyman, Balmer, and Pashcen series (excluding their continuous parts) of the H-atom are found.


Homework Equations



Here is where I am confused.. do I use the Balmer's formula for H?

frequency = [1/4 - 1/n^2] * 3.29*10^(15)s^-1

The Attempt at a Solution



The problem is.. I don't know what energy levels these series correspond to? Is this something I am just supposed to memorize??
 
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For Lyman series, transition from n = 2 to n = 1 for λmax and n= ∞ to n = 1 for λmin.
Similarly for the other series.
 


Is the equation I provided correct in this case??
 

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