Experiment on Atoms: Determining Energy Levels

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SUMMARY

The discussion centers on an experiment involving a sample of atoms with a known ground state energy of -5.0 eV. The atoms absorb light at a wavelength of 400 nm, which corresponds to a specific energy level transition. After the absorption, the atoms emit radiation at both 400 nm and 600 nm, indicating the presence of at least one excited state. The energy levels can be calculated using the relationship between wavelength and energy, specifically using the formula E = hc/λ.

PREREQUISITES
  • Understanding of quantum mechanics principles, specifically energy levels in atoms.
  • Familiarity with the relationship between wavelength and energy (E = hc/λ).
  • Knowledge of spectrometry and its application in analyzing atomic emissions.
  • Basic understanding of electron transitions in atomic physics.
NEXT STEPS
  • Calculate energy levels using the formula E = hc/λ for the absorbed wavelength of 400 nm.
  • Research the concept of electron transitions and how they relate to energy levels in atoms.
  • Explore the principles of spectrometry and how it is used to measure atomic emissions.
  • Investigate the significance of the emitted wavelengths (400 nm and 600 nm) in determining excited states.
USEFUL FOR

Students studying quantum mechanics, physicists interested in atomic energy levels, and educators teaching concepts related to atomic structure and light interactions.

MIA6
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Homework Statement


An experiment is performed on a sample of atoms known to have a ground state of -5.0eV. The gas is illuminated with "white light" (400-700 nm). A spectrometer capable of analyzing radiation in this range is used to measure the radiation. The sample is observed to absorb light at only 400 nm. After "the white light" is turned off, the sample is observed to emit visible radiation of 400 nm and 600 nm. Determine the values of the energy levels
i. the ground state ii. the energy level to which the system was first excited

The Attempt at a Solution



I think the question already gave us the ground state, but how do I find the energy level if I don't know which atom it is.
Thanks.
 
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Hi MIA6,

When light of wavelength 400nm is absorbed, what is happening to the individual atoms? There is an energy that corresponds to 400nm; what is that energy and how is that energy related to the energy levels of the atom?
 

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