do you mean the volumetric expansion from solid to liquid, which is about 6 %, or the thermal expansion coefficient in the liquid, which is about 0.0005 1/K?
I calculated the thermal expansion coefficient of Lauric Acid (Dodecanoic Acid) using the density given in:
I used a mean value of the density close to the melting point as constant Boussinesq density and the density gradient in the liquid close to the melting point temperature. It is described in this paper for another material (page 5, equation 4):
Article Validation of a numerical model with a benchmark Experiment ...
There, rho_bar is the mean value of the density, e.g. (rho_liq(T_m)+rho_sol(T_m))/2 and the gradient of rho_liq is evaluated from two points in the liquid, e.g. (rho_liq(T_m+10 K)-rho_liq(T_m))/(10 K).
what is the meant of term" cycle " in measuring the coefficient of thermal expansion by dilometer . ex We performed four cycles between 40 and 150 0C with a heating rate of 1 K min-1