  In the present paper, a study of the magnetic properties of a spin-1/2
Ising-Heisenberg Cairo pentagonal structure is presented. The model has been
investigated in Ref. [34] in the absence of external magnetic field. Here, we
consider the effects of an external tunable magnetic field. By using the
transfer matrix approach, we investigate the magnetic ground-state phase
transition, the low-temperature magnetization process, and how the magnetic
field influences the various thermodynamic parameters such as entropy, internal
energy and specific heat. It is shown that the model exhibits intermediate
magnetization plateaux accompanied by a double-peak in the specific heat curve
versus temperature. The position of each magnetization jump is in accordance
with the merging and/or separation of the two peaks in the specific heat curve.
Considering different g-factors for the nodal Ising spins and spin dimers also
results in arising different intermediate plateaux and to remarkable
alterations of the thermodynamic properties of the model.
