### How to Calculate Degeneracy

Posted:

**Sat Feb 09, 2019 3:05 pm**How do we calculate degeneracy? I'm not sure how to use the formula or its variables.

Created by Dr. Laurence Lavelle

https://lavelle.chem.ucla.edu/forum/

https://lavelle.chem.ucla.edu/forum/viewtopic.php?f=131&t=41714

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Posted: **Sat Feb 09, 2019 3:05 pm**

How do we calculate degeneracy? I'm not sure how to use the formula or its variables.

Posted: **Sat Feb 09, 2019 3:19 pm**

I do not think there is a formula that always works for degeneracy. But it can be calculated using simple math. For example, if there are three particles and each can be in one of the two directions, then the degeneracy is 2^3=8.

Posted: **Sun Feb 10, 2019 9:18 pm**

I was also wondering how W(degeneracy) was calculated. What do W1 and W2 mean in terms of calculating absolute entropy?

Posted: **Sun Feb 10, 2019 10:24 pm**

The formula you would use is w^n, where w is the number of possible states for the system, and n is the number of atoms. This equation shows us through the n exponent that degeneracy strongly depends on the number of atoms rather than the possible states.

Posted: **Sun Feb 10, 2019 11:26 pm**

i also agree that it is the number of particles to the number of different positions they can occupy

Posted: **Sun Feb 10, 2019 11:33 pm**

Degeneracy(w) is the number of ways to achieve a given energy state. w = (#of microstates available)^n , n=# of particles present. This is the used in the equation deltaS = Kb ln w