Determining ΔE and λ of an Electron Transition

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Discussion Overview

The discussion revolves around the calculation of the change in energy (ΔE) and the wavelength (λ) of a photon emitted during an electron transition in a hydrogen atom, specifically when the electron transitions from the n = 6 energy level. The focus includes the application of Rydberg's equation and the interpretation of energy changes in this context.

Discussion Character

  • Homework-related, Mathematical reasoning, Conceptual clarification

Main Points Raised

  • One participant calculates the change in energy as 1.82 x 10^-19 J using Rydberg's equation but questions why this value is positive.
  • The same participant suggests an alternative calculation for ΔE, proposing it should be -2.18 x 10^-18 J based on their interpretation of the energy levels.
  • Another participant asks for clarification on what is being calculated using Rydberg's formula.
  • A further response indicates a shift in focus to the energy of the emitted photon, suggesting a connection between wavelength and energy in the context of the transition.

Areas of Agreement / Disagreement

Participants express differing views on the sign of the change in energy, indicating a lack of consensus on the interpretation of the calculations involved.

Contextual Notes

There are unresolved assumptions regarding the application of Rydberg's formula and the definitions of energy levels in the context of photon emission.

Chandasouk
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Homework Statement



A hydrogen atom with its electron in the n = 6 energy level emits a photon of the infrared light. Calculate the change in energy of the atom and the wavelength of the photon.

Using Rydberg's equation, the change in energy is 1.82 x 10^-19J

But I do not understand why the change of energy is positive

Wouldn't \DeltaE = -2.18 x 10^-18J (1/9 - 1/36) = -1.82 x 10^-19J ?
 
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What do you calculate using Rydberg's formula?

--
methods
 


position and wavelength of any line in a given series
 


Wavelength... let's make it energy of the emitted photon, OK?

--
methods
 

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