|This article needs additional citations for verification. (September 2014) (Learn how and when to remove this template message)|
The isothermal–isobaric ensemble (constant temperature and constant pressure ensemble) is a statistical mechanical ensemble that maintains constant temperature and constant pressure applied. It is also called the -ensemble, where the number of particles is also kept as a constant. This ensemble plays an important role in chemistry as chemical reactions are usually carried out under constant pressure condition. The partition function can be written as the weighted sum of the partition function of canonical ensemble, .
where ( is the Boltzmann constant), and is volume of the system.
There are several candidates for the normalization factor , e.g., , or . These choices make the partition function a nondimensional quantity. The differences vanish in the thermodynamic limit, i.e., in the limit of infinite number of particles.
The characteristic state function of this ensemble is the Gibbs free energy,
|This physics-related article is a stub. You can help Wikipedia by expanding it.|