Questions on Line Spectra, Orbitals and Radiation

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Discussion Overview

The discussion revolves around the concepts of line spectra, atomic orbitals, and the nature of radiation emitted by atoms. Participants explore the relationship between energy levels, spectral emissions, and the definitions of intensity in light, as well as the behavior of electrons in different orbitals.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions whether hydrogen only emits radiation in the blue light range, suggesting a misunderstanding of the broader spectrum of emissions.
  • Another participant clarifies that hydrogen emits at specific wavelengths determined by energy differences between electron levels, indicating that it can emit radiation across various parts of the spectrum.
  • There is a discussion about the relationship between the amplitude of a wave and the perceived intensity of light, with some participants noting the potential confusion in correlating amplitude and frequency in defining intensity.
  • One participant proposes that an atom must receive energy equal to the attraction it has with the nucleus to move to a higher orbital, while another later corrects this to specify that the energy must equal the potential energy difference between orbitals.
  • Participants discuss the nature of electron transitions between orbitals, with one asking if an excited electron must return to the first orbital or if it can transition to another level, leading to a clarification that multiple transitions are possible.
  • There is a debate about the energy levels of orbitals, with one participant expressing confusion over why a higher orbital (3s) is considered to have more energy than a lower one (2s), despite the 2s electrons being held more tightly to the nucleus.
  • Another participant responds by stating that electrons in lower potential wells (like the 2s orbital) have less energy than those in higher potential wells (like the 3s orbital).

Areas of Agreement / Disagreement

Participants express differing views on the nature of intensity and the energy relationships between orbitals, indicating that multiple competing views remain. The discussion does not reach a consensus on several points, particularly regarding the definitions of intensity and the energy characteristics of orbitals.

Contextual Notes

Limitations include potential misunderstandings about the definitions of intensity and energy levels, as well as the complexity of electron transitions which may not be fully resolved in the discussion.

Stereo_Chemist
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I have several questions that I would appreciate if you guys could help me with, I want to understand these conepts as well as possible.

In my chemistry textbook it states that the atoms of each element have a spectral signature, and each atom emits a certain wavelength of radiation, for example hydrogen atoms when excited emit blue light. I thought that radiation was emitted across the spectrum, and only some ranges of the spectrum was emitted more than others. Is the book saying that hydrogen only emits radiation in the range of blue visible light?

Also, the book says that the intensity we perceive from radiation has to do with the amplitude of the wave, but later in the chapter, it says the perceived difference in intensity between a dim light and a blinding light has to do with the frequency. Is there a way to correlate the two definitions of intensity?

I am starting to understand the conept of orbitals being different energy levels I believe. According to my understanding, if an atom has only one electron, it will be held close to the nucleus in what we call the 1s orbital. If you add more electrons you add to an atom, due to electron-electron repulsion, some electrons will be held farther from the nucleus in outer orbitals, which will not be held as tightly. In order for one atom to move to a higher orbital, it must receive an amount of energy which is equal to the attraction it has with the nucleus at that particular orbital. Is this correct?

Last question, if an atom is excited from the first orbital to the third orbital for example, does it always return to the first orbital, or can it move back to say the 2nd orbital?

Thanks in advance for any help
 
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Hydrogen and other atoms emit at particular wavelengths that are determined by the diffferences in energy between the levels that the electrons go between. A photon of radiation is emitted when the electron goes to a lower energy level. When an electron goes to a higher energy level a photon is absorbed. In either case the frequency of the radiation, times Planck's constant, is equal to the difference in energy between the two levels of the electron. Hydrogen can emit radiation at many places in the spectrum, but only at specific wavelengths.

The intensity of the radiation is related to the amplitude of the wave (the square of the amplitude is proportional to the number of photons). As for dim and bright lights, the author probably is talking about the light getting hotter when it gets brighter. A hotter filament emits more short-wavelength light. This is a temperature effect. Of course, hotter doesn't always mean brighter. I can see why this would be confusing.

I hope your question about orbitals is answered above. Pertaining to your last question, if an electron in one level is excited to another level, it doesn't necessarily
return to the first level. Many sequences of transitions are possible. However, if it starts in the lowest energy level of the atom it will probably eventually end up back there, since in a higher level it will tend to emit a photon and go to lower levels until the lowest level is reached.

Note that not only atoms emit and absorb radiation. Molecules do it too. And its not always electrons making the energy transitions. There are other ways to change energy.
 
Stereo_Chemist said:
In order for one atom to move to a higher orbital, it must receive an amount of energy which is equal to the attraction it has with the nucleus at that particular orbital. Is this correct?

Not quite, in order to move from orbital 1 to orbital 2, the electron must absorb and amount of energy equal to the potential energy difference between orbital 1 and orbital 2.
 
Thanks for the replies

So what does it mean to say one orbital has more energy than another? For example, that the 3s orbital has a higher energy than the 2s orbital. The electrons in the 2s orbital are held more tightly to the nucleus than the electrons in the 3s orbital so wouldn't the 2s orbital have a higher energy? I feel like I am missing something here.
 
Stereo_Chemist said:
... The electrons in the 2s orbital are held more tightly to the nucleus than the electrons in the 3s orbital so wouldn't the 2s orbital have a higher energy? ...

When the electron is lower in the potential well it has less energy.
 

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