Density of states and carrier concentration in a 1d nanotube ion relationship of an arbitrary consider that the energy dispers id nanotube is given as 1 2m where v assume m can start from zero, which means the first sub-band corresponds to m 0 8x105 m/s, h planck's constant, d is the tube diameter, m is an integer (a) (15 points) plot density of states in this tube as a function of energy of energy for e < 2 ev for diameter d = 1 nm and 5 nm. the density of states for id is reported in no. per ev per length. (b) (15 points) calculate the carrier concentration in the nanotube at t = 300 k for equilibrium fermi level ev and 2 ev for d 5 nm. for the 1d case, carrier concentration is measured in no. per unit length of the tube