Using the Landau theory of phase transitions we investigate the shape evolu
tion of strontium and zirconium isotopes as a function of temperature and s
pin. The expansion of the free energy up to sixth power in beta is used in
these calculations. The spin dependence is introduced by additional constan
ts which are obtained by fitting with the temperature-dependent moment of i
nertia. Thermal fluctuations are included in the usual way. Orientation flu
ctuations have been ignored in these calculations. We show that in the pres
ence of thermal fluctuations, the average shapes differ from the most proba
ble shapes.