How do we calculate the desorption rate in this case?

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The discussion focuses on calculating the desorption rate using the Arrhenius equation, specifically the formula 2Ddt, where D is the diffusion coefficient, d is the dimensionality, and t is the time before desorption. Participants seek clarification on whether D* represents the desorption rate and how to determine the variable Lambda. There is confusion regarding the relationship between the Arrhenius equation and the desorption rate, with requests for a clear explanation of the parameters involved. A suggestion is made to refer to an external source for definitions of the variables in the equation. Overall, the conversation emphasizes the need for a better understanding of how to apply the Arrhenius dependence to calculate the desorption rate effectively.
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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