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Robert Call
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Bohr Model - Example 1

In atomic physics, the Rutherford-Bohr model or Bohr model or Bohr model of the atom was first proposed by Niels Bohr in 1913. It was the first quantum theory of the atomic structure, applying the principles of quantum mechanics to the hydrogen atom. The Rutherford-Bohr model is a planetary model in which the electron is assumed to revolve around the nucleus in circular orbits. The Rutherford-Bohr model of the atom was based on Max Planck's quantum theory of radiation, which explained the spectrum of blackbody radiation, and Albert Einstein's theory of the photoelectric effect, which explained the origin of the spectrum of line emission from atoms. The Bohr model of the atom was the first to explain the discrete spectrum of hydrogen and how the spectral lines of the hydrogen atom were split into multiple spectral lines in a phenomenon called the fine structure. It introduced the Bohr radius and the concept of quantum levels to explain the discrete nature of the spectrum of the hydrogen atom. The Bohr model of the atom had a significant influence on the development of quantum mechanics, and was instrumental in the development and validation of quantum mechanics.

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Pwete C.

May 25, 2021

Name two experiments that rutherford capitalizes on, which Thomson's model of atomic model failed to agree with

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Video Transcript

welcome to our first example video looking at boards model of the atom. In this video, we're going to consider some made up Adam that has discrete energy levels of 0.15 1.4 eb 2.6 ev, 4.3 IV and 5.7 e v. Okay, now, this is obviously made up energy levels, but these are the ones we want to consider. Now we have a new electron that's going to come in and hit this Adam, and it's got a velocity of one times 10 to the sixth meters per second. The question is, if we have a new electron here, which energy transitions could be made by running, having this electron run into our Adam Okay, well, we know that we have a new energy in this electron kinetic energy of one half M B squared, of which all or part of this energy could be given to this. Adam, When we go ahead and calculate this, this comes out to be approximately 2.85 e v. So what we want to check now is as long as this trend, the transition has less than this amount of energy, it could be made. So, for example, we could go from 0.15 to 1.4. We could go from 0.15 all the way up to 2.6, but we couldn't make any other transition. So the only allowed transitions are from energy level 1 to 2 and from energy level one, 23 Now, if we had had an electron that was sitting at the energy level two already, could it have made it all the way up? Well, uh, we could have become really, really close because 1.4 plus 2.85 that's going to be That's going to be 4.25 so almost could make it up there. In fact, if it was, we had made it 4.25 e v. It would have been able to jump all the way from 2 to 4 or from 2 to 3. So hopefully you get the idea. What we're looking for is a difference in energy between two energy levels that is less than or equal to 2.85 e v

RC
Robert Call
University of North Carolina at Chapel Hill
Physics 103

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