Problem 8: Find the dimensions (relationship between a and c) of the crystal that will minimize the total surface energy for a unit volume of material In: Case A (the four vertical sidewalls of the crystal have a surface energy yl and the top and bottom sides have surface energy 1/2.) Case B: the crystal is on a substrate and the sidewall surface energy is 1/1, the top side and substrate surface energy is 1/2, and the Interfacial energy between the crystal and the substrate is zero