## Zero Degeneracy

Boltzmann Equation for Entropy: $S = k_{B} \ln W$

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### Zero Degeneracy

Can degeneracy ever be zero? Why or why not?

Maeve Gallagher 1J
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### Re: Zero Degeneracy

No, the smallest value W can have is 1. Degeneracy is calculated by W=(# of orientations)^(#of particles). There must always be at least one orientation for a molecule/particle, and the smallest number of particles you would be dealing with would be 1, which would give you W=1^1=1.

Janine Chan 2K
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### Re: Zero Degeneracy

Degeneracy can't be 0, but entropy can be 0 if it's a perfect crystal (aka when W=1 because there is only one state for it to exist in). When W=1, ln(1)=0, making S equal to 0.

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