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Mahdavi et al. find that the degree of agreement between weak lensing andX-ray mass measurements is a function of cluster radius. Numerical simulationsalso point out that X-ray mass proxies do not work equally well at all radii.The origin of the effect is thought to be associated with cluster mergers.Recent work presenting the cluster maps showed an ability of X-ray maps toreveal and study cluster mergers in detail. Here we present a first attempt touse the study of substructure in assessing the systematics of the hydrostaticmass measurements using two-dimensional (2-D) X-ray diagnostics. Thetemperature map is uniquely able to identify the substructure in an almostrelaxed cluster which would be unnoticed in the ICM electron number density andpressure maps. We describe the radial fluctuations in the 2-D maps by acumulative/differential scatter profile relative to the mean profile within/ata given radius. The amplitude indicates ~10 fluctuations in the temperature,electron number density and entropy maps, and ~15 fluctuations in the pressuremap. The amplitude of and the discontinuity in the scatter complement 2-Dsubstructure diagnostics, e.g. indicating the most disturbed radial range.There is a tantalizing link between the substructure identified using thescatter of the entropy and pressure fluctuations and the hydrostatic mass biasrelative to the expected mass based on the M-Yx and M-Mgas relationsparticularly at r500. XMM-Newton observations with ~120,000 source photons fromthe cluster are sufficient to apply our substructure diagnostics via thespectrally measured 2-D temperature, electron number density, entropy andpressure maps.

X-ray Substructure Studies of Four Galaxy Clusters using XMM-Newton Data