Changes in shape in Mg are studied at T&0 both in finite-temperature mean-field calculations and in the exact canonical ensemble. With increasing temperature the canonical ensemble average of the rotational energy spectrum tends toward a more equispaced harmonic spectrum. This deformed to spherical transition gives rise to a peak in the specific heat which is also seen in finitetemperature Hartree-Fock approximation albeit at a slightly higher temperature. The canonical ensemble average of the quadrupole moment does not, however, appear to vanish at the critical temperature as is the case in the finite-temperature Hartree-Fock approximation.
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