The specific heat and the magnetization of the Fe4 and the Fe8 SMMs

► The beta-expansions for arbitrary values of model parameters of S=5 and 10. ► The thermodynanics of the SMMs with S=5 and S=10 ground state. ► The beta-expansion of the Helmholtz free energy in the presence of a magnetic field of arbitrary orientation. ► Comparison of the thermodynamics of the Fe4 and Fe8 SMMs. ► The average specific heat per site of a powder sample of the Fe4 and Fe8 SMMs.