Entropy at 0 K

Boltzmann Equation for Entropy:

Moderators: Chem_Mod, Chem_Admin

Layal Suboh 1I
Posts: 61
Joined: Fri Sep 28, 2018 12:23 am

Entropy at 0 K

Postby Layal Suboh 1I » Tue Feb 12, 2019 10:08 pm


Is it possible to have 0 entropy? Also, what is the difference between residual, translational, vibrational, and transitional entropy?


Becky Belisle 1A
Posts: 81
Joined: Fri Sep 28, 2018 12:18 am

Re: Entropy at 0 K

Postby Becky Belisle 1A » Tue Feb 12, 2019 10:11 pm

At 0K, if the structure is perfectly ordered, then entropy is equal to zero. However, if there are still possible microstates, the entropy will not be equal to zero.

Christopher Anisi 2K
Posts: 30
Joined: Fri Sep 28, 2018 12:21 am

Re: Entropy at 0 K

Postby Christopher Anisi 2K » Sat Feb 16, 2019 9:14 pm

It is only possible to have entropy equal to 0 if the temperature is equal to 0K and if the substance in question is perfectly ordered.

Fayez Kanj
Posts: 62
Joined: Fri Sep 28, 2018 12:18 am
Been upvoted: 1 time

Re: Entropy at 0 K

Postby Fayez Kanj » Mon Feb 18, 2019 10:49 pm


when temperature reaches 0K, then entropy tends to zero. At 0K theoretically, a molecule/compound can still have positional entropy (number of micro-states). If it is perfectly ordered, then yes, entropy would theoretically be 0)

Fanny Lee 2K
Posts: 73
Joined: Fri Sep 28, 2018 12:29 am

Re: Entropy at 0 K

Postby Fanny Lee 2K » Tue Feb 19, 2019 11:47 am

When the entropy is at 0, it forms a perfect crystal. However, it still has some positional entropy. Higher entropy levels would result in higher rotational and vibrational entropy.

Posts: 70
Joined: Fri Sep 28, 2018 12:24 am

Re: Entropy at 0 K

Postby Danielle_Gallandt3I » Tue Feb 19, 2019 11:56 am

The last 3 types of entropy you mentioned relate to the position and possible movement available to a molecule. The first type you mentioned, residual, relates to the residual entropy left in a molecule when it is at 0 K. At that point there is no entropy due to movement, but if the molecule has more than one possible position at 0 K then it will have residual entropy, which is why not all molecules will be at 0 entropy at 0 K.

Posts: 32
Joined: Thu Jan 10, 2019 12:17 am

Re: Entropy at 0 K

Postby JacobHershenhouse3G » Tue Feb 19, 2019 12:41 pm

Its possible to have 0 entropy, when there is no degeneracy at absolute zero. At higher temperatures, vibrational, translational, transitional entropy are spontaneous and add to the total entropy. This is why we have been considering entropy at 0 K because then the S= K In(W) holds true (does not include other types of entropy). Hope this helps :)

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 1 guest