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1. An n-type Si crystal (10¹⁷ donor/cm³) contains 10¹⁵Au/cm³. What are the low level and high level lifetimes of electrons and holes in this sample?

2. Use the analysis procedure and physical model of the thermal and capture emission rates in section 381, obtain the expressions and discuss the physics of the radiative capture and photo emission rates at an optical trap.

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