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# act23Rans - Name_ANSWERS PHYS-1200 PHYSICS II SPRING 2005...

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Name: ________________ ANSWERS ______________ PHYS-1200 PHYSICS II SPRING 2005 Class 23 Activity: Bound Electrons--- Finite Well versus Infinite Well Because the wave function of an electron can protrude beyond the walls of a finite well but cannot for an infinite well, the expressions for energy levels are different for each case. The objective here is to calculate energy levels for an infinite well for various states, and then compare them to the energy levels for a finite well that your computer will calculate. Write down the expression for the energy levels for an electron that is bound in a one dimensional infinitely deep potential energy well that is 2.0 nm wide. E n = 2 2 2 8 n mL h for n = 1, 2, 3, 4,…. What is the value for h , and what is its value? Planck's Constant. h = 6.63 x 10 -34 Joule-seconds What is m , and what is its value? Mass of the particle, in this case the electron. m = 9.11 x10 -31 Kg What is L and what is its value? Width of the well. L = 2.0 nanometers in this case What is n ? Quantum number. n = 1,2,3 or 4 for this case. Calculate the energies of the first four energy levels in the infinite well (i.e. n = 1, 2, 3, and 4), and record them in Joules, then convert that answer to electron volts …. Then, determine what the wavelength of the electron will be in each state for the infinite well.

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act23Rans - Name_ANSWERS PHYS-1200 PHYSICS II SPRING 2005...

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