What is the relation between wavelength and orbital?

In summary, the conversation discusses the use of equations in a chemistry class to determine the wavelength of electrons moving between orbitals. The Rydberg formula is suggested as a potential solution, but it is later discovered that the assigned reading did not cover it and the correct equation is actually Rydberg's equation.
  • #1
jacob baugher
I am in a chemistry class, and there was an in class example on how to do this type of problem, but then when I looked in the book, there wasn't an equation. the questions are related to what the wavelength will be when electrons are moving between orbitals.
 
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  • #2
Could the Rydberg formula be what you're looking for?

Alternatively, if you have an equation that gives the energies of the orbitals, you can get the same result by finding the difference in energies between the two orbitals, which gives the photon energy, then using Planck's famous formula E = hf.
 
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  • #3
Did you copy the example from class? If so, please post it and we can try to figure out what's going on in the problem.
 
  • #4
Thanks for the help, it turned out the assigned reading didn't cover it, they had to edit the syllabus, it was rydberg's equation.
 

1. What is the definition of wavelength?

Wavelength is the distance between two consecutive peaks or troughs in a wave. It is usually represented by the Greek letter lambda (λ) and is measured in units of length, such as meters or nanometers.

2. How does wavelength relate to orbital?

The wavelength of a particle, such as an electron, is related to its orbital by the de Broglie equation. This equation states that the wavelength of a particle is equal to Planck's constant divided by the momentum of the particle. In simple terms, the smaller the wavelength, the higher the momentum and the more tightly bound the particle's orbital will be.

3. What is the significance of wavelength in understanding the behavior of electrons in an atom?

The wavelength of an electron plays a crucial role in understanding its behavior in an atom. The de Broglie wavelength helps us visualize the probability distribution of an electron in an atom, known as an orbital. It also helps us explain phenomena such as diffraction and interference, which are observed in electron interactions.

4. How does the wavelength of an electron change as it moves to a higher energy orbital?

The wavelength of an electron decreases as it moves to a higher energy orbital. This is because an electron with higher energy has a higher momentum, according to the de Broglie equation. As the momentum increases, the wavelength decreases, making the electron's orbital more tightly bound to the nucleus.

5. Can the wavelength of an electron be measured experimentally?

Yes, the wavelength of an electron can be measured experimentally using techniques such as electron diffraction or photoelectron spectroscopy. These experiments provide evidence for the wave-like behavior of electrons and allow scientists to determine their wavelengths and corresponding orbitals.

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