Determining ΔE and λ of an Electron Transition

In summary, ΔE and λ refer to the energy difference and wavelength of an electron transition, respectively. Scientists determine these values using spectroscopy techniques, which help in understanding the electronic structure and behavior of atoms and molecules. The energy difference and wavelength are inversely proportional, and this relationship can be used to predict the behavior of substances.
  • #1
Chandasouk
165
0

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 [tex]\Delta[/tex]E = -2.18 x 10^-18J (1/9 - 1/36) = -1.82 x 10^-19J ?
 
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  • #2


What do you calculate using Rydberg's formula?

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methods
 
  • #3


position and wavelength of any line in a given series
 
  • #4


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

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methods
 

1. What is a ΔE and λ of an electron transition?

ΔE and λ refer to the energy difference and wavelength, respectively, of an electron transition. This refers to the change in energy and the corresponding wavelength of light emitted or absorbed when an electron moves from one energy level to another within an atom or molecule.

2. How do scientists determine ΔE and λ of an electron transition?

Scientists use spectroscopy techniques to measure the energy and wavelength of an electron transition. This involves shining a beam of light onto a sample and analyzing the light that is emitted or absorbed. By comparing the energy and wavelength of the incident light to the emitted or absorbed light, the ΔE and λ can be determined.

3. What is the significance of determining ΔE and λ of an electron transition?

Determining ΔE and λ allows scientists to understand the electronic structure and behavior of atoms and molecules. It also helps in identifying elements and compounds, and in studying chemical reactions and physical processes.

4. How is the energy difference (ΔE) related to the wavelength (λ) of an electron transition?

The energy difference and wavelength are inversely proportional. This means that as the energy difference increases, the wavelength decreases and vice versa. This relationship is described by the equation E = hc/λ, where E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength.

5. Can ΔE and λ be used to predict the behavior of an atom or molecule?

Yes, by knowing the energy difference and wavelength of an electron transition, scientists can predict the behavior of an atom or molecule. This information is crucial in understanding the properties and reactions of substances.

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