Boltzmann Distribution Function


The total internal energy of an object is the sum of the average energy of each of the atoms that make up the object. Hence, at certain temperature , it is possible that some atoms are more energetic than others.(These atoms occupy a high energy level than others)

To find the ratio of number of atoms at a higher energy level Ex to the number of atoms at a lower energy level Eo:

$\frac{N_{x}}{N_{o}} = e^{ – \frac{E_{x} – E_{o}}{kT}}$, where

Nx is the number of atoms with energy Ex
No is the number of atoms with energy Eo
k is the Boltzmann constant: 1.381 x 10-23 J/K
T is the temperature in K

 

Back To Quantum Theory Of Light


Sharing is caring:
Mini Physics

Administrator of Mini Physics. If you spot any errors or want to suggest improvements, please contact us.

Leave a Comment