New transient solutions are derived for the simple calculation of thermal conductivity, specific heat, thermal diffusivity and contact conductance from the results of a single experiment. All the proposed experiments utilize a specimen which has one surface insulated and the opposite one heated by an arbitrary heat flux. The heat flux must have a finite duration and its integrated value must be known. Two types of experiments are discussed and measurements for each type are given. One type uses a flat, thin electric heater and the other uses a material of known specific heat as a calorimeter. Relative advantages are discussed.

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