The results on ASCA X-ray study of the central regions of medium-richness c
lusters of galaxies are summarized, while emphasizing the differences betwe
en cD and non-cD clusters. The intra-cluster medium (ICM) is likely to cons
ist of two (hot and cool) phases within similar to 100 kpc of a cD galaxy,
where the ICM metallicity is also enhanced. In contrast, the ICM in non-cD
clusters appears to be isothermal with a small metallicity gradient right o
f the center. The gravitational potential exhibits a hierarchical nesting a
round cD galaxies, while a total mass-density profile with a central cusp i
s indicated for a non-cD cluster, Abell 1060. The iron-mass-to-light ratio
of the ICM decreases toward the center in both types of clusters, although
it is radially constant in peripheral regions. The silicon-to-iron abundanc
e ratio in the ICM increases with the cluster richness, but remains close t
o the solar ratio around cD galaxies. These overall results are interpreted
without appealing to the popular cooling-flow hypothesis. Instead, an emph
asis is put on the halo-in-halo structure formed around cD galaxies.