## Zero Degeneracy

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

Moderators: Chem_Mod, Chem_Admin

RuchaDeshpande1L
Posts: 60
Joined: Sat Jul 22, 2017 3:00 am
Been upvoted: 1 time

### Zero Degeneracy

Can degeneracy ever be zero? Why or why not?

Maeve Gallagher 1J
Posts: 56
Joined: Fri Sep 29, 2017 7:07 am

### 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
Posts: 71
Joined: Fri Sep 29, 2017 7:04 am

### 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.

Return to “Third Law of Thermodynamics (For a Unique Ground State (W=1): S -> 0 as T -> 0) and Calculations Using Boltzmann Equation for Entropy”

### Who is online

Users browsing this forum: No registered users and 2 guests