Low temperature specific heat measurements are done in special adiabatic calorimeters (see Sarge et al.: "Calorimetry" Section 7.10.1.2). The principle is the following: in a well isolated (adiabatic) container a sample of known mass is heated electrically. From the known voltage and current and time and the resulting temperature rise the specific heat is calculated. Because of the very low heat capacity at low temperatures the measurements of temperature and electrical power must be done with very high precision. There are no such calorimeters on the market, you have to construct the device yourself. In Germany E. Gmelin had published a lot of papers on this topic. One is added as an example.
Gmelin, E. (1967) A cryostat for measuring heat capacities from 1.2 to 300° K and measurements of the specific heat of magnesium oxide below 36° K. Cryogenics, 7, 225-232.
Gmelin, E. (1979) Modern low-temperature calorimetry. Thermochimica Acta, 29, 1-39.
Hope that could help you, Good luck
Article Automatic low temperature calorimetry for the range 0.3-320K
Low temperature specific heat measurements are done in special adiabatic calorimeters (see Sarge et al.: "Calorimetry" Section 7.10.1.2). The principle is the following: in a well isolated (adiabatic) container a sample of known mass is heated electrically. From the known voltage and current and time and the resulting temperature rise the specific heat is calculated. Because of the very low heat capacity at low temperatures the measurements of temperature and electrical power must be done with very high precision. There are no such calorimeters on the market, you have to construct the device yourself. In Germany E. Gmelin had published a lot of papers on this topic. One is added as an example.
Gmelin, E. (1967) A cryostat for measuring heat capacities from 1.2 to 300° K and measurements of the specific heat of magnesium oxide below 36° K. Cryogenics, 7, 225-232.
Gmelin, E. (1979) Modern low-temperature calorimetry. Thermochimica Acta, 29, 1-39.
Hope that could help you, Good luck
Article Automatic low temperature calorimetry for the range 0.3-320K