Absorption coefficient per unit path length determined for excitation

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Discussion Overview

The discussion revolves around the determination of the absorption coefficient per unit path length for excitation sites in a host crystal. Participants explore how to calculate the number of photons absorbed over a given length, considering factors such as excitation site density and the relationship between photon energy and the bandgap of the excitation site.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Homework-related

Main Points Raised

  • One participant asks how to determine the absorption coefficient per unit path length for excitation sites in a host crystal, given the excitation site density and the equality of the bandgap to the photon energy.
  • Another participant mentions Fermi's golden rule in relation to the absorption process.
  • A participant expresses a lack of familiarity with Hamiltonians and eigenfunctions, seeking guidance on foundational texts to understand Fermi's golden rule, while noting their calculus capability.
  • The same participant aims to determine how many electrons will be released into the conduction band from excitation sites of density N, under the condition that the stimulus photons match the bandgap energy.
  • A suggestion is made to refer to Sakurai's book on quantum mechanics for relevant information on absorption and the golden rule.

Areas of Agreement / Disagreement

The discussion reflects a lack of consensus, with participants expressing varying levels of understanding and familiarity with the underlying concepts, and no definitive agreement on the methodology for determining the absorption coefficient.

Contextual Notes

Participants have differing levels of prerequisite knowledge, which may affect their ability to engage with the concepts discussed, particularly regarding Fermi's golden rule and quantum mechanics.

vincectec
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How is the absorption coefficient per unit path length determined for excitation sites in a host crystal with an excitation site density of N and a bandgap of the excitation site equal to the photon energy? What I am trying to determine is how many photons will be absorbed for a given length.
 
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vincectec said:
How is the absorption coefficient per unit path length determined for excitation sites in a host crystal with an excitation site density of N and a bandgap of the excitation site equal to the photon energy? What I am trying to determine is how many photons will be absorbed for a given length.


Fermi's golden rule.
 


OK but I don't know about Hamiltonian and Eigen functions and have never solved a Schrödinger equation. So, with this in mind can you direct me to a first principles text that will prepare me to deal with "Fermi's Golden Rule" knowing that I don't have the above prerequisites but do have some calculus capability?

What I am trying to do is determine: for excitation cites of density N, how many electrons will be released into the conduction band, assuming that the stimulus photons have an energy equal to the bandgap energy of the excitation site.
 


vincectec said:
OK but I don't know about Hamiltonian and Eigen functions and have never solved a Schrödinger equation. So, with this in mind can you direct me to a first principles text that will prepare me to deal with "Fermi's Golden Rule" knowing that I don't have the above prerequisites but do have some calculus capability?

What I am trying to do is determine: for excitation cites of density N, how many electrons will be released into the conduction band, assuming that the stimulus photons have an energy equal to the bandgap energy of the excitation site.

Maybe Sakurai's book on quantum mechanics would be useful to you. Look up "absorption" or "golden rule" in the appendix. Good luck
 

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