Thermal design issues and performance of microcalorimeter arrays at sub-Kelvin temperatures

We have produced 5/spl times/5 pixel arrays of microcalorimeters using bulk micromachining. Analysis of our data provides the thermal conductivity parameters of Si/sub x/N/sub y/ 1 /spl mu/m thick membranes at 100 mK. Moreover we find that the thermal transport at 100 mK in Si beams, with dimensions 1.25 mm /spl times/ 0.35mm /spl times/ 35/spl mu/m (length /spl times/ height /spl times/ width) is dominated by ballistic phonons with a mean free path of 110 /spl mu/m. These thermal parameters can be used for modelling future 32 /spl times/ 32 pixel arrays. In addition we operated three pixels in a 5 /spl times/ 5 array of microcalorimeters and find that the pixel to pixel reproducibility is very good. When used as an X-ray microcalorimeter individual pixels have a thermal decay time of 200 /spl mu/s is and their energy resolution is between 6 and 7 eV for 5.89 keV X-ray photons.