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### Degeneracy

Posted: Fri Jan 31, 2020 2:09 pm
I understand that degeneracy is the number of ways that a given energy state is achieved but what exactly is degeneracy used for?

### Re: Degeneracy

Posted: Fri Jan 31, 2020 2:28 pm
Degeneracy can be used to describe systems when the systems are of different states, such as solid, liquid, or gas, but equal in energy levels.

### Re: Degeneracy

Posted: Fri Jan 31, 2020 3:57 pm
Degeneracy is a way to quantify the possible number of positions a particular species can form. In relation to entropy, it can be seen as the number of Microstates/positions that are possible for a particular system.

### Re: Degeneracy

Posted: Fri Jan 31, 2020 4:10 pm
asannajust_1J wrote:Degeneracy is a way to quantify the possible number of positions a particular species can form. In relation to entropy, it can be seen as the number of Microstates/positions that are possible for a particular system.

How do you determine the number of positions/microstates?

### Re: Degeneracy

Posted: Fri Jan 31, 2020 4:14 pm
In class we determined the number of microstates by using the equation 2^N, where N is the number of atoms and 2 represents a 2-state system

### Re: Degeneracy

Posted: Fri Jan 31, 2020 4:25 pm
Degeneracy is directly related to entropy and helps find positional entropy. With entropy solved, we can use delta H and entropy in an equation we'll learn later on to determine whether an equation is spontaneous or not.

### Re: Degeneracy

Posted: Fri Jan 31, 2020 4:59 pm
We use the equation n^2. We use 2 because it's a two-state system and N represents the number of particles.

### Re: Degeneracy

Posted: Thu Feb 06, 2020 3:30 pm
W, degeneracy is used in the equation S = kB*ln(W) to find the residual or positional entropy of a system

### Re: Degeneracy

Posted: Fri Feb 07, 2020 2:55 pm
For this course, it can be used to calculate entropy via the Boltzmann equation, that is S = Kb * ln W, where W is the degeneracy. In general larger molecules will have greater degeneracy. However, this equation has a lot of error associated with it, as its relying on a whole number and a defined value to calculate the entropy value.

### Re: Degeneracy

Posted: Sat Feb 08, 2020 6:11 pm
Isn't degeneracy used for the entropy equation (S=kBlnW)?