Atomic Physics: Finding Energy Levels

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SUMMARY

The discussion focuses on determining energy levels in atomic physics, specifically through the use of the Schrödinger Equation and the Bohr model. The Schrödinger Equation provides exact solutions for hydrogen atoms, yielding energy eigenvalues that represent energy levels. For beginners, the Bohr model is recommended for approximating energy levels and wavelengths in absorption and emission spectra, utilizing the equation E = hf for conversions between energy and frequency or wavelength.

PREREQUISITES
  • Understanding of the Schrödinger Equation in quantum mechanics
  • Familiarity with the Bohr model of the atom
  • Knowledge of the relationship between energy, frequency, and wavelength (E = hf)
  • Basic concepts of atomic spectra and ionization
NEXT STEPS
  • Study the Schrödinger Equation and its solutions for hydrogen atoms
  • Explore the Bohr model for calculating energy levels and spectral lines
  • Learn about the Balmer formula and its applications in spectroscopy
  • Investigate wave functions and their significance in quantum mechanics
USEFUL FOR

Students of physics, particularly those studying atomic physics, educators teaching quantum mechanics, and anyone interested in understanding energy levels and atomic spectra.

i_wish_i_was_smart
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i am having problems with the atom model part of physics, i know that the current model stats the electron location is a probability and all, its when i get to the wavelength and the energy, with all the ionization and the spectrums that i don't understand...

how can i find the energy level with a spectrum, do i use E=mc2 or E=pc by finding p with p=h/wavelength... or do i use more of a atomic physics equation like E=hf=hc/wavelength

keep in mind that i am french and i don't fully understand english termanlogy thx
 
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i_wish_i_was_smart said:
i am having problems with the atom model part of physics, i know that the current model stats the electron location is a probability and all, its when i get to the wavelength and the energy, with all the ionization and the spectrums that i don't understand...

how can i find the energy level with a spectrum, do i use E=mc2 or E=pc by finding p with p=h/wavelength... or do i use more of a atomic physics equation like E=hf=hc/wavelength

You find the energy level of an atom by solving the Schrödinger Equation for that atom (something you can only do exactly for H-atom). Then you find the energy eigenvalues using that solution and voila! You have the energy level spectrum!

... assuming, of course, that "Schrödinger Equation" translates to roughly the same thing in french.

Zz.
 
(Zapper,
I doubt that the poster knows what a wave function is, far less know what solutions to the Schrödinger Equation look like or what spherical harmonics are. )

I'm only guessing your level, but I suggest you use the Bohr model to find energy levels and wavelengths of absorption/emission spectra. They are very good for a first approximation. Use E = hf, to convert between energy and frequency (or wavelength).

There's good info at wolfram : http://scienceworld.wolfram.com/physics/BalmerFormula.html
 

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