1. In that case, the equipartition theorem for the canonical ensemble follows immediately 2. Where Q is the partition function for the canonical ensemble . 3. It is also possible to derive Fermi Dirac statistics in the canonical ensemble . 4. It has been extended to include the grand canonical ensemble 5. It is derived in the same way as the partition function for the canonical ensemble . 6. In the canonical ensemble , the partition function of the system can be written as: 7. It is widely satisfied in common statistical ensembles-e . g . the canonical ensemble . 8. In quantum mechanics, the canonical ensemble affords a simple description since microstates with specific energies. 9. Boltzmann's entropy is the expression of entropy at thermodynamic equilibrium in the canonical ensemble . 10. It generalizes the narrower concepts of the grand canonical ensemble and canonical ensemble in statistical mechanics.