To compute lnW in Boltzmann's equation, Stirling's approximation, lnN! = NlnN - N, is used.This converts the above equation to to:

The remaining empty sites after the A atoms have been placed on the lattice just accommodate the NB atoms of B. There is but one way that the rest of the sites can be filled with B atoms. Setting N = NAv (for a mole of solution), and dividing by NAv (to convert atom number to mole fraction) and substituting the above equation into Eq (7.35) yields Eq (7.10):

With this result in hand, substitution of Eqs (7.10) and (7.34) into Eq (7.33) gives:

Further progress requires expressing gex in terms of the composition.

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Solar Panel Basics

Solar Panel Basics

Global warming is a huge problem which will significantly affect every country in the world. Many people all over the world are trying to do whatever they can to help combat the effects of global warming. One of the ways that people can fight global warming is to reduce their dependence on non-renewable energy sources like oil and petroleum based products.

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