Chapter 9 Exercises

Chapter 9 Exercises - Exercises

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Exercises 9.1a  Calculate the  energy  separations in joules, kilojoules per mole, electronvolts, and reciprocal centimetres  between the  levels  (a)  n  = 2 and  n  = 1, (b)  n  = 6 and  n  = 5 of an electron in a box of length 1.0 nm. 9.1b  Calculate the  energy  separations in joules, kilojoules per mole, electronvolts, and reciprocal centimetres  between the  levels  (a)  n  = 3 and  n  = 1, (b)  n  = 7 and  n  = 6 of an electron in a box of length 1.50 nm. 9.2a  Calculate the probability that a particle will be found between 0.49 L  and 0.51 L  in a box of length  L  when it has  (a)  n  = 1, (b)  n  = 2. Take the  wavefunction  to be a constant in this range. 9.2b  Calculate the probability that a particle will be found between 0.65 L  and 0.67 L  in a box of  length  L  when it has (a)  n  = 1, (b)  n  = 2. Take the  wavefunction  to be a constant in this range. 9.3a  Calculate the  expectation values  of  p  and  p 2  for a particle in the state  n  = 1 in a square-well potential. 9.3b  Calculate the  expectation values  of  p  and  p 2  for a particle in the state  n  = 2 in a square-well potential. 9.4a  An electron is confined to a a square well of length  L . What would be the length of the box such that the  zero- point energy  of the electron is equal to its rest mass  energy m e c 2 ? Express your answer in terms of the parameter  λ h / m e c ,the ‘Compton wavelength’ of the electron. 9.4b
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This note was uploaded on 05/01/2011 for the course CHEM 346 taught by Professor Cardelino during the Spring '11 term at Spelman.

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Chapter 9 Exercises - Exercises

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