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Unformatted text preview: E = 2 h 2 w 2 mL 2 = 2 1.055 " 10 # 34 J $ s ( ) 2 0.99 ( ) 2 9.11 " 10 # 31 kg ( ) 10 # 9 ( ) 2 = 2.39 " 10 # 20 J = 0.15 eV Potentially useful equations and data: Squarebarrier tunneling: T " 4 E U o # E ( ) U o 2 exp # $ L ( ) ; = 2 m U o # E ( ) 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 J·s = 4.14x10 –15 eV·s; h = 1.055x10 –34 J·s = 6.595x10 –16 eV·s (Planck’s constant) c = 3.0x10 8 m/s (speed of light in vacuum) k = 1.38x10 –23 J/K = 8.617x10 –5 eV/K (Boltzmann’s constant, not wave number) m = 9.11x10 –31 kg (mass of an electron) q = 1.6x10 –19 C (charge of an electron) ε o = 8.85x10 –12 F/m (freespace permittivity) 1 eV = 1.6x10 –19 J...
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This document was uploaded on 03/27/2010.
 Spring '09

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