Dark Rate = X events/second
Dark Rate = Probability of occurence * Volume of Sensitive region * Rate of redistribution of energy (collisions)
P r o b a b i l i t y = e − E g / k T {\displaystyle Probability=e^{-E_{g}/kT}}
E g S i l i c o n = 1.12 e V {\displaystyle E_{g}Silicon=1.12eV}
k = 1.3806503 ∗ 10 − 23 J K − 1 {\displaystyle k=1.3806503*10^{-23}JK^{-1}}
P r o b a b i l i t y = e − ( 1.12 ∗ 1.6 ∗ 10 − 19 ) / ( 1.381 ∗ 10 − 23 ∗ T ) {\displaystyle 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
V o l u m e = 4.4 m m 2 ∗ 0.00075 m m {\displaystyle Volume=4.4mm^{2}*0.00075mm}
V o l u m e = 0.33 m m 3 {\displaystyle Volume=0.33mm^{3}}
C o l l i s i o n s = ? {\displaystyle Collisions=?}
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