  The statistical mechanical calculation of the thermodynamical properties of
non-rotating isolated horizons are studied in the loop quantum gravity
framework. By employing the Hawking temperature and horizon mass of isolated
horizons as physical inputs, the microcanonical ensemble associated with the
system are well established. As a result, the black hole entropy and other
thermodynamical quantities can be computed and consistent with well-known
Hawking's semiclassical analysis. Moreover, the value of the Immirzi parameter
of loop quantum gravity for {higher dimensional case and 4-dimensional U(1)
case are} also obtained.
