The peak in light emission from a light emitting diode (3d semiconductor) occurs approximately 1) at the photon energy that equals the energy peak of electrons in the conduction band minus the energy peak of holes in the valence band. (a) calculate the energy at which the electron distribution peaks above the lowest energy (bottom) of the conduction band? (4 marks) (b) what is the energy for which the hole distribution peaks below the highest energy (top) of the valence band? (1 mark) (c) estimate the peak emission wavelength (free-space) for gap that has a bandgap of 2.3 ev for t 300k? (3 marks) (d) if the temperature is increased by 50k, how much does the wavelength shift? (1 mark) (this question tests engineering attribute 1: apply simple quantum theory to determine the response of semiconductor, metal and insulator materials).