What Frequency Photon Ionizes an Atom from n=2 State?

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SUMMARY

The discussion centers on calculating the frequency of a photon required to ionize an atom from the n=2 state, utilizing the equation E = hf. The energy needed for ionization is given as 4 eV, which converts to Joules using the factor 1.6e-19. The calculated frequency of 9.65e14 Hz was initially deemed incorrect, prompting further inquiry into the ionization process and energy states. Participants emphasized the importance of correctly converting energy units and understanding the concept of ionization.

PREREQUISITES
  • Understanding of quantum mechanics, specifically energy levels of electrons in atoms.
  • Familiarity with the equation E = hf, where E is energy, h is Planck's constant, and f is frequency.
  • Knowledge of unit conversion between electronvolts (eV) and Joules (J).
  • Basic concepts of atomic ionization and electron energy states.
NEXT STEPS
  • Review the principles of quantum mechanics related to atomic energy levels.
  • Study the conversion methods between eV and Joules for accurate energy calculations.
  • Explore the concept of ionization energy and its significance in atomic physics.
  • Learn about Planck's constant and its role in photon energy calculations.
USEFUL FOR

Students studying quantum mechanics, physics educators, and anyone interested in atomic structure and photon interactions.

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Homework Statement



The following diagram represents the allowed electronic energy levels of a hypothetical atom. What frequency photon would be required to ionize this atom if it were already in the n = 2 state?

[PLAIN]http://img32.imageshack.us/img32/667/picture2vt.png


Homework Equations



E = hf

The Attempt at a Solution



Ionizing the atom would require emission of a photon. From the picure, E = 4eV for an emission of a photon:

4eV = hf
f= 9.65e14 Hz but this is not the answer. Any suggestions??
 
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You used the correct formula. Did you change eV to J? That is the only way I could see you getting it wrong.
 
yeah I did 4eV*1.6e-19 to convert it to Joules. Then I divided by Planck's constant to get the frequency. This problem seems so easy, but I'm missing something... :\
 
What does ionization mean? What is the energy of the electron when the atom is ionized?

ehild
 

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