Prediction

Dark Rate = X events/second

Dark Rate = Probability of occurrence * Volume of Sensitive region * Density of Valence Electrons * Rate of Scattering

$$Probability = e^{-E_g/kT}$$

$$E_g Silicon = 1.12 eV$$

$$k = 1.3806503 * 10^{-23} J K^{-1}$$

$$Probability = e^{-(1.12*1.6*10^{-19})/(1.381*10^{-23}*T)}$$

thin depletion region (0.7-0.8 um)

Make sure to do it in pixels

$$Volume = 4.4mm^{2} * 0.00075mm$$

$$Volume = 0.0033mm^3$$

$$Volume = 0.0033 mm^3 * 200 pixels$$

$$Collisions = ?$$

Mean velocity of valence elctrons = Fermi Velocity

Fermi momentum / Mass

$$Fermi momemtum = sqrt{2E_f/M_e}$$

$$Mass of Electron = 9.109 * 10^{-31} kg$$

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