1992 年 85 巻 3 号 p. C20-C23
We discuss the distribution and the evolution of X-ray clusters of galaxies. Hot Intra-Cluster Plasma (ICP) is the source of X-ray emission. The sample data of X-ray clusters will provide the informations of the cluster evolution which includes the clustering process and the thermal history of ICP. We calculate the number counts and the red shift distribution of the clusters emitting X-ray. We compared the computred results with the results mainly from the Extended Medium Sensitivty Survey (MSS) by Einstein Observatory. The previous analysis of a subsample of MSS presents that the observed slope is flatter than that of "Euclidean" model. This observed result suggests us that the observed deviation from the "Euclidean" model can be the evidence the evolution of clusters. We discuss the evolutionary effects comparing the observational data with the computed cluster number count and the redshift distribution of clusters.