Using the description provided for obtaining elastic constants from the speed of sound in various directions of a cubic crystal, in Chapter 3 section Elastic Waves in Cubic Crystals. Determine the three independent elastic constants of diamond, namely, C11, C12, and C44 with the following data obtained from experiments. Data: The density of diamond is 3.52 g/cm3 The longitudinal and transverse speeds of sound along the [100] direction are 17.6 and 12.8 km/s And The longitudinal speed of sound in the direction [111] is 18.6 km/s. Calculate the elastic constants in gigapascal (GPa).