How do we calculate the desorption rate in this case?

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Homework Help Overview

The discussion revolves around calculating the desorption rate using the Arrhenius equation within the context of diffusion processes. Participants are exploring the relationship between the Arrhenius dependence and the desorption rate, questioning the definitions and parameters involved in the relevant equations.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to understand the parameters of the Arrhenius equation and their relevance to desorption rate calculations. Questions include the identification of variables such as D* and Lambda, and how to derive the desorption rate from the provided equation.

Discussion Status

Some participants are seeking clarification on the form of the Arrhenius equation and its application to desorption rates. There is acknowledgment of a source that may define the variables, but no consensus has been reached on the correct approach or formula to use.

Contextual Notes

Participants express varying levels of familiarity with the subject matter, with some indicating a lack of prior experience in this area of physics. There is mention of specific energy barriers and prefactor rates associated with different processes, suggesting a need for foundational understanding of these concepts.

Hananism
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Homework Statement
The full homework is in the attached image.
Relevant Equations
2Ddt & Arrhenius temperature dependence.
homework physics.jpg

Solution attempt:
The teacher told us to use the equation 2Ddt to calculate that average distance.
(D: diffusion coefficient that will be calculated by the Arrhenius formula, d: dimentionality of the system, and t: is the time before the desorption of the molecule)
The thing is, the time t has to be calculated as the inverse of the desorption rate.
So to calculate this desorption rate, we should use Arrhenius dependence which I believe is this formula in this attached image:

ar.dependence.png


My questions about this formula:
- is D* the desorption rate? if not, what is it? and where is the desorption rate in the equation?
- what is Lambda here? and how do we calculate it?

If this is not the right formula to calculate the desorption rate, what is the one that I should use?
(if it is another formula, it would be better if you tell me what does each parameter stand for?)

Thank you VERY much in advance, this would really help me.
 
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haruspex said:
I don't know where you are getting that form of the Arrhenius equation from, but surely that source defines all the variables?
See if https://composite-analytica.com/messages/3945.html helps.
That form of equation: a classmate sent it to me.
I saw it, and I understood the equation. Thanks so much.
I would just like to know:

How is that Arrhenius Equation related to the desorption rate?​

How can I use it to calculate it?
Because that's what my teacher said "Calculate the desorption rate using the Arrhenius dependence"

Thanks a lot in advance.
 
Hananism said:
That form of equation: a classmate sent it to me.
I saw it, and I understood the equation. Thanks so much.
I would just like to know:

How is that Arrhenius Equation related to the desorption rate?​

How can I use it to calculate it?
Because that's what my teacher said "Calculate the desorption rate using the Arrhenius dependence"

Thanks a lot in advance.
Disclaimer: I have never had any involvement in this branch of physics, so I am starting from complete ignorance. But it seems to me that there is a generic equation that can be applied to a number of processes: ##rate(T)=rate({\infty})e^{-\frac E{RT}}##, where E is the energy barrier and T is the temperature.
For each of the processes diffusion and desorption, you are given the energy barrier and the rate at ##T=\infty## (the "prefactor").
I assume these are Poisson processes.
 

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