quiz3solution

quiz3solution - h 2 Energy levels in an infinitely deep...

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EE 439 Name_______________________________________ Quiz 3 – Sept 23, 2008 Put your final answers on this sheet and attach any additional sheets behind. You must include your work to get full credit. Find the first two energy levels for an electron in an infinitely deep quantum well with width of 0.75 nm. Using the formula for energies in the infinitely deep well: E n = n 2 " 2 h 2 2 mL 2 = n 2 2 1.055 # 10 $ 34 J % s ( ) 2 2 9.11 # 10 $ 31 kg ( ) 0.75 # 10 $ 9 m ( ) 2 = n 2 1.07 # 10 $ 19 J ( ) = n 2 0.67 eV ( ) So E 1 = 0.67 eV and E 2 = 2.68 eV. Potentially useful equations and data: Square-barrier tunneling: T " 16 E U o # E ( ) U o 2 exp # 2 $ L ( ) ; = 2 m U o # E ( )
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Unformatted text preview: h 2 Energy levels in an infinitely deep quantum well: E n = n 2 2 h 2 2 mL 2 p = h E = h # "# = c h = 6.63x10 34 Js = 4.14x10 15 eVs; h = 1.055x10 34 Js = 6.595x10 16 eVs (Plancks constant) c = 3.0x10 8 m/s (speed of light in vacuum) k = 1.38x10 23 J/K = 8.617x10 5 eV/K (Boltzmanns constant, not wave number) m = 9.11x10 31 kg (mass of an electron) q = 1.6x10 19 C (charge of an electron) o = 8.85x10 12 F/m (free-space permittivity) 1 eV = 1.6x10 19 J...
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quiz3solution - h 2 Energy levels in an infinitely deep...

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