Critical behaviour of the three-dimensional Ising model specific heat below Tc

The magnetization exponent β D of the Syozi model of dilute ferro-magnetism is estimated for the four most common three-dimensional lattices using the Padé approximant method. It is found in all cases that 0·354 <or= β D <or= 0·380. Using the previously established relation αprime = 1 - β/β D between the specific heat exponent αprime and the magnetization exponent β for the Ising model below T c and assuming β = fraction five-sixteens, the above result implies 0·117