The Bohr Model of the Hydrogen Atom

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Homework Help Overview

The discussion revolves around the Bohr model of the hydrogen atom, specifically focusing on energy transitions related to photon absorption and the determination of initial and final states of the atom.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the energy difference between states and the expression for energy levels in the Bohr model. There is an exploration of how to calculate transitions and a mention of using trial and error to find matches for energy levels.

Discussion Status

Some participants have provided expressions for energy levels and suggested methods for finding transitions. There is an ongoing exploration of different approaches, including a desire for more algebraic manipulation to find quantum numbers.

Contextual Notes

Participants are working within the constraints of the Bohr model and are discussing the implications of photon absorption in excited states. There is a mention of a specific photon wavelength and energy difference, which may guide their calculations.

Shackleford
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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?

E = hf = Eu - El = 2.825 eV

That's the difference in energy between the initial and final states.
 
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What's the expression for the energy levels in the Bohr model?
 
Doc Al said:
What's the expression for the energy levels in the Bohr model?

En = (- E0) / n^2
 
Shackleford said:
En = (- E0) / n^2
Good. Now start cranking out a few transitions and see if you can find a match. (The trial and error approach.)

Hint: List the energies of the first few levels and then you can just subtract.
 
Doc Al said:
Good. Now start cranking out a few transitions and see if you can find a match. (The trial and error approach.)

Seriously? That's all I have to do? Isn't there usually a fancy way to manipulate the equations algebraically and find the "n"s? I tried to find a fancy way to solve for the "n"s but couldn't. Okay. I'll start plugging in values for n.
 

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