Changes

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:  

* The probability that an rogue electron would set off the SiPM at any one occurance

* The probability that an electron in a silicon crystal lies in the conduction band at temperature t

* 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.

* The average rate at which a valence band electron scatters by hitting a defect or a phonon in the silicon crystal

* The number of Silicon Nuclei in the detector

* The number of valence electrons in the active region of the detector

The dark rate is calculated by multiplying these three factors together. It is the probability of an event, multiplied by the rate at which the probability is calculated, then multiplied by number of places that this is occuring simultaneously.  

The dark rate is calculated by multiplying these three factors together. It is the probability of an state, multiplied by the rate at which electrons can enter that state, then multiplied by number of electrons that are participating simultaneously.  

# 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.  

# 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

and <math>Mass of Electron = 9.109 * 10^{-31} kg</math>

and <math>Mass of Electron = 9.109 * 10^{-31} kg</math>

The Average distance between 2 Silicon nuclei is known as the Mean free path of Silicon and can be determind by .......

The Average distance between 2 Silicon nuclei is known as the Mean free path of Silicon and can be determined by .......

<math>Sum{(Actual Value - Expected Value)^2/ Expected}</math>

<math>Sum{(Actual Value - Expected Value)^2/ Expected}</math>

If the value of the test statistic is aproximatly equal to the number of data points that were tested, then the equation determind above is a good predictor of the data; showing that the equation above is a good predictor of the dark rate of the SiPM used in the experiment.

If the value of the test statistic is approximately equal to the number of data points that were tested, then the equation determined above is a good predictor of the data; showing that the equation above is a good predictor of the dark rate of the SiPM used in the experiment.

To [[Prediction]]

To [[Prediction]]

[[Counting individual photons|Back]]

[[Counting individual photons|Back]]