ECE3080Homework1Solution

ECE3080Homework1Solution - ECE 3080 Homework 1 1) Given the...

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1) Given the IV-IV compound semiconductor Si x Ge 1-x (assume that covalent bonds exist although strictly speaking this is not entirely true) and that energy bandgaps and lattice constants scale linearly, a) What is the lattice constant and composition that would result in a 1.0 eV semiconductor? b) What is the relationship between lattice constant, chemical bond strength, and lattice constant? You can use the data from lecture 1. From lecture 1, Eg of Si = 1.1eV and Eg of Ge = 0.66 eV. Thus, a linear extrapolation of bandgaps to composition and composition to lattice constant would result in: Note: many real semicunductor alloys have close to linear relationships of bandgaps vs composition and almost always have linear relationships of composition and lattice constant. However, is some cases, the Eg vs X relationship is HIGHLY bowed (i.e. curved not linear). One interesting example is the GaAsN system which has for N~3-6% a bandgap, ~1 eV , which is substantially lower than either GaAs (~1.4 eV) or GaN (~3.4 eV). 2)
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ECE3080Homework1Solution - ECE 3080 Homework 1 1) Given the...

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