  I investigate an analytical model of galaxy clusters based on the assumption
that the intracluster medium plasma is polytropic and is in hydrostatic
equilibrium. The Einasto profile is adopted as a model for the spatial-density
distribution of dark matter halos. This model has sufficient degrees of freedom
to simultaneously fit X-ray surface brightness and temperature profiles, with
five parameters to describe the global cluster properties and three additional
parameters to describe the cluster's cool-core feature. The model is tested
with Chandra X-ray data for seven galaxy clusters, including three polytropic
clusters and four cool-core clusters. It is found that the model accurately
reproduces the X-ray data over most of the radial range. For all galaxy
clusters, the data allows to show that the model is essentially as good as that
of Vikhlinin et al and Bulbul et al, as inferred by the reduced $\chi^2$.
