Find the Initial and Final states of an excited Hydrogen Atom

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SUMMARY

The discussion focuses on determining the initial and final states of a hydrogen atom that absorbs a photon with a wavelength of 434 nm. The relevant equation used is 1/λ = 1/91.127 * (1/nf² - 1/ni²), where λ represents the wavelength, nf is the final energy level, and ni is the initial energy level. The challenge lies in solving for both energy levels with only one equation, indicating the need for additional information or constraints to find a unique solution.

PREREQUISITES
  • Understanding of quantum mechanics and atomic structure
  • Familiarity with the Rydberg formula for hydrogen
  • Knowledge of photon absorption and energy level transitions
  • Basic algebra for solving equations with multiple variables
NEXT STEPS
  • Study the Rydberg formula for hydrogen transitions in detail
  • Learn about photon energy calculations using E = hc/λ
  • Explore quantum mechanics principles related to atomic excitations
  • Investigate the concept of degeneracy in quantum states
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in atomic physics, particularly those studying hydrogen atom behavior and energy transitions.

Mrbilly
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Homework Statement


A hydrogen atom in an excited state absorbs a photon of wavelength 434 nm. What were the initial and final states of the hydrogen atom?

Homework Equations



1/λ=1/91.127 * (1/nf2-1/ni2)

The Attempt at a Solution



Tried to use the equation, but keeping the initial and final n's as just 1/n2. can find a value for n2, but still have two unknowns (initial and final n level) and only the one equation
 
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