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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.  
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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.  
 
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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and <math>k = 1.3806503 * 10^{-23} J K^{-1}</math>
 
and <math>k = 1.3806503 * 10^{-23} J K^{-1}</math>
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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 average speed of an electron
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## The average distance between 2 Silicon nuclei
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The electron travels at an average speed equal to the Fermi Velocity, where
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<math>Fermi Velocity = sqrt{2E_f/M_e}</math>
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and <math>Mass of Electron = 9.109 * 10^{-31} kg</math>
     
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