Mapping of the intra-cluster medium out to the virial radius

In this thesis, I study the thermodynamic properties of the intracluster medium out to the virial radius, making use of a unique combination of dedicated XMM-Newton exposures and Planck maps, thus exploiting the capabilities of multi-wavelength observations, to constrain at an unprecedented level the thermodynamic properties in a complete sample of galaxy clusters. I will explore in detail their self-similar properties, their radial dependence, and their implication. This work provides an important legacy value for any future studies of galaxy cluster until the next generation of X-ray telescopes comes along.