“…Given these values, the weighted average provides a Young's modulus of coating used in our experiments on both surfaces of the quartz substrates estimated by Y CrAu = 81 GPa. Similarly, in the case of the multi-layer dielectric coatings, The Young's modulus is estimated Y DC = 100 GPa, with Y Ta2O5 = 140 GPa and Y SiO2 = 72 GPa [23,37,38]. Finally, Young's modulus of the SC-cut quartz crystal substrate can be calculated from two the elastic coeffi-…”