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Density of states in 1D Volume of one unit cell ππ = 2π πΏ πππππ = πΎ π =2× πππππ πΎ πΎπΏ =2× = 2π ππ π πΏ 2ππΈ πΎ=β 2 β β2ππΈ πΏ β2ππΈπΏ β2 π= = π βπ 1 1 1 β ππ ππ ππ 2 (2ππΈ) 2 2ππΏ (2ππΈ)β2 ππΏ = = = ππΈ ππ ππΈ βπ βπ 1 π·(πΈ)1π· 1 (2ππΈ)β2 ππΏ β 2 π (2ππΈ) βπ = = = πΏ βπ π 1 βπ(2ππΈ)2