Objectives
Following your study of this chapter, you should be able to:
 explain in simple terms how Laue proved the wave nature of xrays
 state the two conditions for constructive interference, and the equation associated with each
 calculate wavelength of xrays 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 doubleslit and electron doubleslit
 experiments
 state Bohr's principle of complementarity
 explain the solution of the waveparticle duality problem
 know what is meant by probability density, Y2
 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
