design a new p-type semiconductor material. Acceptor density is Na=5x1015 cm^-3 and there are no donors are present in the material. The effective densities of states for this material is given as Nv=1.8x10^19cm^-3, Nc=1.2×10^19 cm^-3 at T=300K and effective density of states vary with temperature as T^2. At T=350K the design requires that the total hole concentration to be less than p < 5.08×10^15 cm^-3. Calculate the minimum bandgap energy required for your design?