In the contribution we describe the design and some characteristics of micro-calorimeters which contain temperature sensors based on thick film RuO_2 resistors and heaters made of Ag-Pd thick films. The calorimeters were prepared using screen printing technique on sapphire substrates, and are assigned for specific heat measurements of very small samples in temperature ranges 0.05-3 K and 1.5 - 15 K. Described are also the relaxation and dual - slope methods which will be used to determine the heat capacity.
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