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Since the Dark Rate is the rate at which the SiPM avalanches, its value depends on 3 factors:  
 
Since the Dark Rate is the rate at which the SiPM avalanches, its value depends on 3 factors:  
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1. The probability that an rogue electron would set off the SiPM at any one occurance
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* The probability that an rogue electron would set off the SiPM at any one occurance
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2. The Rate of Scattering, or the average amount of time that is required for an electron to impact a silicon nucleus, redistributing energy randomly among the two entities.  
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* The Rate of Scattering, or the average amount of time that is required for an electron to impact a silicon nucleus, redistributing energy randomly among the two entities.  
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3. The number of Silicon Nuclei in the detector
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* The number of Silicon Nuclei in the detector
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1. The actual energy of electrons follow a poisson distribution, where a large number of electrons have very little amounts of energy while a miniscule number of electrons have a very large amount of energy.  
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# The actual energy of electrons follow a poisson distribution, where a large number of electrons have very little amounts of energy while a miniscule number of electrons have a very large amount of energy.  
 
Therefore, the probability of the elections having a large amount of energy is
 
Therefore, the probability of the elections having a large amount of energy is
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2. The rate of scattering is a constant number that determines the average amount of time that is required for an electron to impact a silicon nucleus. It is dependent on two factors:  
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# The rate of scattering is a constant number that determines the average amount of time that is required for an electron to impact a silicon nucleus. It is dependent on two factors:  
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## The average speed of an electron
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#* The average speed of an electron
## The average distance between 2 Silicon nuclei
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#* The average distance between 2 Silicon nuclei
    
The electron travels at an average speed equal to the Fermi Velocity, where
 
The electron travels at an average speed equal to the Fermi Velocity, where
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