Prediction

Dark Rate = X events/second

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

$Probability=e^{-E_{g}/kT}$

$E_{g}Silicon=1.12eV$

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

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

thin depletion region (0.7-0.8 um)

Make sure to do it in pixels

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

$Volume=0.0033mm^{3}$

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

$Collisions=?$

Mean velocity of valence elctrons = Fermi Velocity

Fermi momentum / Mass

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Fermi momemtum = sqrt{2E_f/M_e}}

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Mass of Electron = 9.109 × 10^{-31} kg}

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