Basic Equations of Statistical Thermodynamics - Partition function

Basic Equations of Statistical Thermodynamics -Partition Function 

This is also the probability of finding the given sy stem in the state r. 

The probability law (2.2.1) characterizes the so called canonical ensemble ). The macroscopic equilibrium value. P of a property P whose value is Pr when the system is in the state r, is given by 

The quantity occurring in the denominator of 2.2.1 and (2.2.2) is called the partition fnnciion and will be denoted by 

The partition function is closely related to the Hdmholtz free energy F. It may be shown that 

---