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E < 0 Transmission Probabulity is given by T = [1 + v^2 sin h^2 KL/4E (Vo - E]^-1 Hence Vo = 3eV E = 2 eV l = 0.61 nm = 0.61 times 10^-9 m Vo - E = 3 - 2 = 1eV = 1.6 times 10^-19 J KL = [2m (Vo - E)]^1/2/h L = [2 times 9.1 times 10^-31 times 1.6 times 10679]61/2/1.05 times 10^-34 times 0.61 times 10^-9 = 5.396 times 10^-25 times 0.61 times 106-3/1.05 times 10^-34 KL = 3.135 sin h (3.135) = 11.472 t = [1 + 9 times (11.4721)62/4 times 2 times 1]^-1 = [1 + 146. 058]^-1 = [149.058]^-1 T = 6.709 times 10^-3 We can use a simplified formula for T for less accurate value that held true for KL > > 1 for kL > > 1, t = e6-2KL Here, t = e^-2 times 3.135 = 1.892 times 10^-3 Order is same (10^-3) rightarrow If Vo = 2.8 eV Vo - E = 0.8 cV = 0.8 times 1.6 times 10^-19 J KL = [2 times 9.1 times 106-31 times 0.8 times 1.6 times 10^-19]^1/2/1.05 times 10^-34 times 0.61 times 10^-9 KL = 2.804
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