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A commercially available calorimeter has been used to investigate thespecific heat of a high-quality \kn\ single crystal. The addenda heat capacityof the calorimeter is determined in the temperature range $0.02 \, \mathrm{K}\leq T \leq 0.54 \, \mathrm{K}$. The data of the \kn\ crystal imply thepresence of a large $T^2$ contribution to the specific heat which givesevidence of $d$-wave order parameter symmetry in the superconducting state. Toimprove the measurements, a novel design for a calorimeter with a paramagnetictemperature sensor is presented. It promises a temperature resolution of$\Delta T \approx 0.1 \, \mathrm{\mu K}$ and an addenda heat capacity less than$200 \, \mathrm{pJ/K}$ at $ T < 100 \, \mathrm{mK}$.

Specific heat of K071Na0.29Fe2As2 at very low temperatures