### Degeneracy

Posted:

**Mon Feb 04, 2019 1:48 pm**Can someone please explain the concept and how to determine degeneracy?

Created by Dr. Laurence Lavelle

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

https://lavelle.chem.ucla.edu/forum/viewtopic.php?f=129&t=41358

Page **1** of **1**

Posted: **Mon Feb 04, 2019 1:48 pm**

Can someone please explain the concept and how to determine degeneracy?

Posted: **Mon Feb 04, 2019 1:53 pm**

Degeneracy(W) is defined as the number of possible ways a system can exist in a specific energy state. It is determined by the number of possible states, raised to the number of particles involved. For example, two particles A and B have two possible states. Thus 2 states and 2 particles is 2^2, and W=4. This makes degeneracy an extensive property because it depends on the size (Number of particles) of the system.

Posted: **Mon Feb 04, 2019 3:03 pm**

Degeneracy, W, is the number of possible ways of achieving a given energy state.

It is determined on the number of particles and the number of arrangements.

For example if N particles and each particle can be in one of two states:

W = 2^N

It is determined on the number of particles and the number of arrangements.

For example if N particles and each particle can be in one of two states:

W = 2^N

Posted: **Wed Feb 06, 2019 2:22 pm**

As others previous have said, degeneracy is the number of possible ways a system can exist in a given/specific energy state. So W, degeneracy, = (number of states) ^ number of particles.

Posted: **Wed Feb 06, 2019 10:40 pm**

Degeneracy is determined as the number of atoms involved raised to the power of possible states.

Posted: **Wed Feb 06, 2019 10:50 pm**

is there a relationship between degeneracy and entropy?

Posted: **Fri Feb 08, 2019 12:46 am**

Degeneracy is the number of possible states that atoms can exist in and it is related to entropy because the higher the degeneracy the more potential for disorder and higher entropy.