Following your study of this chapter, you should be able to:
  • explain in simple terms how Laue proved the wave nature of x-rays
  • state the two conditions for constructive interference, and the equation associated with each
  • calculate wavelength of x-rays or inteplanar spacing of a crystal using Bragg's equation
  • give the relation of a particle to a wavelength, known as the de Broglie wavelength
  • derive the quantization of angular momentum using the de Broglie relation
  • follow the discussion of Davisson and Germer's electron diffraction experiment
  • analyze the general expression for a wave, Y(x,t) =A sin [2p/l (x - ut)], identifying the amplitude, wavelength and period
  • define wave number k,angular frequency w, and phase constant, f
  • know the important property of a wave packet
  • understand and write down the equations for phase velocity, uph, and group velocity, ugr
  • discuss the following experiments and their results : Young's double-slit and electron double-slit
  • experiments
  • state Bohr's principle of complementarity
  • explain the solution of the wave-particle duality problem
  • know what is meant by probability density, |Y|2
  • perform the process of normalization on simple wave functions and explain why it is done
  • discuss in your own words Heisenberg's uncertainty princple
  • write down the equations for the uncertainty principle for momentum and displacement, and for energy and time