Analysis of the gradient method for laser calorimetry and analytical correction factors

We have obtained the analytical expression for the derivative difference value used in the gradient method the lase1r calorimetry (LC). It was reinterpreted in terms of average temperature regarding the piezolectric resonance laser calorimetry (PRLC), which to the best of our knowledge has been done for the first time. Correction factors in the cases of $L C$ and PRLC were also estimated. We propose to choose the position of the temperature sensor in the LC based on the minimal value of correction factors.